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":[[0,1,94],[0,2,6],[0,5,77],[0,6,59],[0,7,72],[1,2,27],[1,4,59],[1,5,3],[1,7,89],[2,4,9],[2,7,91],[3,4,18],[3,5,52],[4,5,93],[4,6,55],[5,6,58],[5,7,67],[6,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,6],[0,5,77],[0,6,59],[0,7,72],[1,2,27],[1,4,59],[1,5,3],[1,7,89],[2,4,9],[2,7,91],[3,4,18],[3,5,52],[4,5,93],[4,6,55],[5,6,58],[5,7,67],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,6],[0,5,77],[0,6,59],[0,7,72],[1,2,27],[1,4,59],[1,5,3],[1,7,89],[2,4,9],[2,7,91],[3,4,18],[3,5,52],[4,5,93],[4,6,55],[5,6,58],[5,7,67],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (5,7)\"],\"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\":[[0,1,94],[0,2,6],[0,5,77],[0,6,59],[0,7,72],[1,2,27],[1,4,59],[1,5,3],[1,7,89],[2,4,9],[2,7,91],[3,4,18],[3,5,52],[4,5,93],[4,6,55],[5,6,58],[5,7,67],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (0,2)=6, w=9\",\"Add (2,4)=9, w=18\",\"Add (3,4)=18, w=36\",\"Add (1,2)=27, w=63\",\"Add (4,6)=55, w=118\",\"Add (5,7)=67, 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\":[[0,1,94],[0,2,6],[0,5,77],[0,6,59],[0,7,72],[1,2,27],[1,4,59],[1,5,3],[1,7,89],[2,4,9],[2,7,91],[3,4,18],[3,5,52],[4,5,93],[4,6,55],[5,6,58],[5,7,67],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (0,2)=6 Succeeded, w=9\",\"Add (2,4)=9 Succeeded, w=18\",\"Add (3,4)=18 Succeeded, w=36\",\"Add (1,2)=27 Succeeded, w=63\",\"Add (3,5)=52 Failed, w=63\",\"Add (4,6)=55 Succeeded, w=118\",\"Add (5,6)=58 Failed, w=118\",\"Add (0,6)=59 Failed, w=118\",\"Add (1,4)=59 Failed, w=118\",\"Add (5,7)=67 Succeeded, w=185\",\"Add (0,7)=72 Failed, w=185\",\"Add (6,7)=73 Failed, w=185\",\"Add (0,5)=77 Failed, w=185\",\"Add (1,7)=89 Failed, w=185\",\"Add (2,7)=91 Failed, w=185\",\"Add (4,5)=93 Failed, w=185\",\"Add (0,1)=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\":[[0,1,94],[0,2,6],[0,5,77],[0,6,59],[0,7,72],[1,2,27],[1,4,59],[1,5,3],[1,7,89],[2,4,9],[2,7,91],[3,4,18],[3,5,52],[4,5,93],[4,6,55],[5,6,58],[5,7,67],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,2)=6,(2,4)=9,(3,4)=18,(1,2)=27,(3,5)=52,(4,6)=55,(5,6)=58,(0,6)=59,(1,4)=59,(5,7)=67,(0,7)=72,(6,7)=73,(0,5)=77,(1,7)=89,(2,7)=91,(4,5)=93,(0,1)=94]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=9\",\"Find(2)=0, Find(4)=4, Add (2,4)=9 Succeeded, w=18\",\"Find(3)=3, Find(4)=0, Add (3,4)=18 Succeeded, w=36\",\"Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=63\",\"Find(3)=1, Find(5)=1, Add (3,5)=52 Failed, w=63\",\"Find(4)=1, Find(6)=6, Add (4,6)=55 Succeeded, w=118\",\"Find(5)=1, Find(6)=1, Add (5,6)=58 Failed, w=118\",\"Find(0)=1, Find(6)=1, Add (0,6)=59 Failed, w=118\",\"Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=118\",\"Find(5)=1, Find(7)=7, Add (5,7)=67 Succeeded, w=185\",\"Find(0)=1, Find(7)=1, Add (0,7)=72 Failed, w=185\",\"Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=185\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=185\",\"Find(1)=1, Find(7)=1, Add (1,7)=89 Failed, w=185\",\"Find(2)=1, Find(7)=1, Add (2,7)=91 Failed, w=185\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=185\",\"Find(0)=1, Find(1)=1, Add (0,1)=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\":[[0,1,94],[0,2,6],[0,5,77],[0,6,59],[0,7,72],[1,2,27],[1,4,59],[1,5,3],[1,7,89],[2,4,9],[2,7,91],[3,4,18],[3,5,52],[4,5,93],[4,6,55],[5,6,58],[5,7,67],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,2)=6,(2,4)=9,(3,4)=18,(1,2)=27,(3,5)=52,(4,6)=55,(5,6)=58,(0,6)=59,(1,4)=59,(5,7)=67,(0,7)=72,(6,7)=73,(0,5)=77,(1,7)=89,(2,7)=91,(4,5)=93,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1, 6: 6, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(4)=0, Add (3,4)=18 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 6, 7: 7}, Find(3)=1, Find(5)=1, Add (3,5)=52 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(6)=6, Add (4,6)=55 Succeeded, w=118\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=1, Add (5,6)=58 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(6)=1, Add (0,6)=59 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=67 Succeeded, w=185\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=72 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=89 Failed, w=185\",\"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)=91 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=185\",\"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)=94 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,42],[0,2,17],[0,4,68],[1,3,47],[1,4,62],[2,4,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,17],[0,4,68],[1,3,47],[1,4,62],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,17],[0,4,68],[1,3,47],[1,4,62],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,17],[0,4,68],[1,3,47],[1,4,62],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (0,1)=42, w=59\",\"Add (1,3)=47, w=106\",\"Add (1,4)=62, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,17],[0,4,68],[1,3,47],[1,4,62],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (0,1)=42 Succeeded, w=59\",\"Add (1,3)=47 Succeeded, w=106\",\"Add (1,4)=62 Succeeded, w=168\",\"Add (0,4)=68 Failed, w=168\",\"Add (2,4)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,17],[0,4,68],[1,3,47],[1,4,62],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,1)=42,(1,3)=47,(1,4)=62,(0,4)=68,(2,4)=80]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=59\",\"Find(1)=0, Find(3)=3, Add (1,3)=47 Succeeded, w=106\",\"Find(1)=0, Find(4)=4, Add (1,4)=62 Succeeded, w=168\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=168\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,17],[0,4,68],[1,3,47],[1,4,62],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,1)=42,(1,3)=47,(1,4)=62,(0,4)=68,(2,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=47 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=62 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,3,63],[0,4,31],[0,5,85],[0,6,49],[1,2,60],[1,3,87],[1,4,21],[1,5,1],[1,6,29],[2,4,93],[2,6,76],[3,4,11],[3,5,86],[3,6,30],[4,5,9],[4,6,6],[5,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,3,63],[0,4,31],[0,5,85],[0,6,49],[1,2,60],[1,3,87],[1,4,21],[1,5,1],[1,6,29],[2,4,93],[2,6,76],[3,4,11],[3,5,86],[3,6,30],[4,5,9],[4,6,6],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,3,63],[0,4,31],[0,5,85],[0,6,49],[1,2,60],[1,3,87],[1,4,21],[1,5,1],[1,6,29],[2,4,93],[2,6,76],[3,4,11],[3,5,86],[3,6,30],[4,5,9],[4,6,6],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,3,63],[0,4,31],[0,5,85],[0,6,49],[1,2,60],[1,3,87],[1,4,21],[1,5,1],[1,6,29],[2,4,93],[2,6,76],[3,4,11],[3,5,86],[3,6,30],[4,5,9],[4,6,6],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (4,6)=6, w=7\",\"Add (4,5)=9, w=16\",\"Add (3,4)=11, w=27\",\"Add (0,1)=19, w=46\",\"Add (1,2)=60, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,3,63],[0,4,31],[0,5,85],[0,6,49],[1,2,60],[1,3,87],[1,4,21],[1,5,1],[1,6,29],[2,4,93],[2,6,76],[3,4,11],[3,5,86],[3,6,30],[4,5,9],[4,6,6],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (4,6)=6 Succeeded, w=7\",\"Add (4,5)=9 Succeeded, w=16\",\"Add (3,4)=11 Succeeded, w=27\",\"Add (5,6)=12 Failed, w=27\",\"Add (0,1)=19 Succeeded, w=46\",\"Add (1,4)=21 Failed, w=46\",\"Add (1,6)=29 Failed, w=46\",\"Add (3,6)=30 Failed, w=46\",\"Add (0,4)=31 Failed, w=46\",\"Add (0,6)=49 Failed, w=46\",\"Add (1,2)=60 Succeeded, w=106\",\"Add (0,3)=63 Failed, w=106\",\"Add (2,6)=76 Failed, w=106\",\"Add (0,5)=85 Failed, w=106\",\"Add (3,5)=86 Failed, w=106\",\"Add (1,3)=87 Failed, w=106\",\"Add (2,4)=93 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,3,63],[0,4,31],[0,5,85],[0,6,49],[1,2,60],[1,3,87],[1,4,21],[1,5,1],[1,6,29],[2,4,93],[2,6,76],[3,4,11],[3,5,86],[3,6,30],[4,5,9],[4,6,6],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(4,6)=6,(4,5)=9,(3,4)=11,(5,6)=12,(0,1)=19,(1,4)=21,(1,6)=29,(3,6)=30,(0,4)=31,(0,6)=49,(1,2)=60,(0,3)=63,(2,6)=76,(0,5)=85,(3,5)=86,(1,3)=87,(2,4)=93]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=7\",\"Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=16\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=27\",\"Find(5)=4, Find(6)=4, Add (5,6)=12 Failed, w=27\",\"Find(0)=0, Find(1)=4, Add (0,1)=19 Succeeded, w=46\",\"Find(1)=4, Find(4)=4, Add (1,4)=21 Failed, w=46\",\"Find(1)=4, Find(6)=4, Add (1,6)=29 Failed, w=46\",\"Find(3)=4, Find(6)=4, Add (3,6)=30 Failed, w=46\",\"Find(0)=4, Find(4)=4, Add (0,4)=31 Failed, w=46\",\"Find(0)=4, Find(6)=4, Add (0,6)=49 Failed, w=46\",\"Find(1)=4, Find(2)=2, Add (1,2)=60 Succeeded, w=106\",\"Find(0)=4, Find(3)=4, Add (0,3)=63 Failed, w=106\",\"Find(2)=4, Find(6)=4, Add (2,6)=76 Failed, w=106\",\"Find(0)=4, Find(5)=4, Add (0,5)=85 Failed, w=106\",\"Find(3)=4, Find(5)=4, Add (3,5)=86 Failed, w=106\",\"Find(1)=4, Find(3)=4, Add (1,3)=87 Failed, w=106\",\"Find(2)=4, Find(4)=4, Add (2,4)=93 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,3,63],[0,4,31],[0,5,85],[0,6,49],[1,2,60],[1,3,87],[1,4,21],[1,5,1],[1,6,29],[2,4,93],[2,6,76],[3,4,11],[3,5,86],[3,6,30],[4,5,9],[4,6,6],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(4,6)=6,(4,5)=9,(3,4)=11,(5,6)=12,(0,1)=19,(1,4)=21,(1,6)=29,(3,6)=30,(0,4)=31,(0,6)=49,(1,2)=60,(0,3)=63,(2,6)=76,(0,5)=85,(3,5)=86,(1,3)=87,(2,4)=93]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 1, 6: 4}, Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 1, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=27\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=12 Failed, w=27\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(1)=4, Add (0,1)=19 Succeeded, w=46\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=21 Failed, w=46\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=29 Failed, w=46\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=30 Failed, w=46\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=31 Failed, w=46\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=49 Failed, w=46\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=2, Add (1,2)=60 Succeeded, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=63 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=76 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=85 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=86 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=87 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=93 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,6],[0,2,23],[0,3,5],[0,4,53],[0,5,42],[0,6,31],[0,7,68],[1,2,0],[1,3,42],[1,4,30],[1,6,75],[1,7,99],[2,3,23],[2,4,8],[2,5,82],[2,6,21],[2,7,92],[3,4,62],[3,5,32],[3,6,78],[3,7,43],[4,5,13],[4,6,92],[4,7,81],[5,6,89],[5,7,96],[6,7,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,23],[0,3,5],[0,4,53],[0,5,42],[0,6,31],[0,7,68],[1,2,0],[1,3,42],[1,4,30],[1,6,75],[1,7,99],[2,3,23],[2,4,8],[2,5,82],[2,6,21],[2,7,92],[3,4,62],[3,5,32],[3,6,78],[3,7,43],[4,5,13],[4,6,92],[4,7,81],[5,6,89],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "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],[0,2,23],[0,3,5],[0,4,53],[0,5,42],[0,6,31],[0,7,68],[1,2,0],[1,3,42],[1,4,30],[1,6,75],[1,7,99],[2,3,23],[2,4,8],[2,5,82],[2,6,21],[2,7,92],[3,4,62],[3,5,32],[3,6,78],[3,7,43],[4,5,13],[4,6,92],[4,7,81],[5,6,89],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (6,7)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (2,6)\"],\"Answer\":59}",
"role": "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],[0,2,23],[0,3,5],[0,4,53],[0,5,42],[0,6,31],[0,7,68],[1,2,0],[1,3,42],[1,4,30],[1,6,75],[1,7,99],[2,3,23],[2,4,8],[2,5,82],[2,6,21],[2,7,92],[3,4,62],[3,5,32],[3,6,78],[3,7,43],[4,5,13],[4,6,92],[4,7,81],[5,6,89],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,3)=5, w=5\",\"Add (0,1)=6, w=11\",\"Add (6,7)=6, w=17\",\"Add (2,4)=8, w=25\",\"Add (4,5)=13, w=38\",\"Add (2,6)=21, w=59\"],\"Answer\":59}",
"role": "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],[0,2,23],[0,3,5],[0,4,53],[0,5,42],[0,6,31],[0,7,68],[1,2,0],[1,3,42],[1,4,30],[1,6,75],[1,7,99],[2,3,23],[2,4,8],[2,5,82],[2,6,21],[2,7,92],[3,4,62],[3,5,32],[3,6,78],[3,7,43],[4,5,13],[4,6,92],[4,7,81],[5,6,89],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,3)=5 Succeeded, w=5\",\"Add (0,1)=6 Succeeded, w=11\",\"Add (6,7)=6 Succeeded, w=17\",\"Add (2,4)=8 Succeeded, w=25\",\"Add (4,5)=13 Succeeded, w=38\",\"Add (2,6)=21 Succeeded, w=59\",\"Add (0,2)=23 Failed, w=59\",\"Add (2,3)=23 Failed, w=59\",\"Add (1,4)=30 Failed, w=59\",\"Add (0,6)=31 Failed, w=59\",\"Add (3,5)=32 Failed, w=59\",\"Add (0,5)=42 Failed, w=59\",\"Add (1,3)=42 Failed, w=59\",\"Add (3,7)=43 Failed, w=59\",\"Add (0,4)=53 Failed, w=59\",\"Add (3,4)=62 Failed, w=59\",\"Add (0,7)=68 Failed, w=59\",\"Add (1,6)=75 Failed, w=59\",\"Add (3,6)=78 Failed, w=59\",\"Add (4,7)=81 Failed, w=59\",\"Add (2,5)=82 Failed, w=59\",\"Add (5,6)=89 Failed, w=59\",\"Add (2,7)=92 Failed, w=59\",\"Add (4,6)=92 Failed, w=59\",\"Add (5,7)=96 Failed, w=59\",\"Add (1,7)=99 Failed, w=59\"],\"Answer\":59}",
"role": "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],[0,2,23],[0,3,5],[0,4,53],[0,5,42],[0,6,31],[0,7,68],[1,2,0],[1,3,42],[1,4,30],[1,6,75],[1,7,99],[2,3,23],[2,4,8],[2,5,82],[2,6,21],[2,7,92],[3,4,62],[3,5,32],[3,6,78],[3,7,43],[4,5,13],[4,6,92],[4,7,81],[5,6,89],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,3)=5,(0,1)=6,(6,7)=6,(2,4)=8,(4,5)=13,(2,6)=21,(0,2)=23,(2,3)=23,(1,4)=30,(0,6)=31,(3,5)=32,(0,5)=42,(1,3)=42,(3,7)=43,(0,4)=53,(3,4)=62,(0,7)=68,(1,6)=75,(3,6)=78,(4,7)=81,(2,5)=82,(5,6)=89,(2,7)=92,(4,6)=92,(5,7)=96,(1,7)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=11\",\"Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=17\",\"Find(2)=0, Find(4)=4, Add (2,4)=8 Succeeded, w=25\",\"Find(4)=0, Find(5)=5, Add (4,5)=13 Succeeded, w=38\",\"Find(2)=0, Find(6)=6, Add (2,6)=21 Succeeded, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=23 Failed, w=59\",\"Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=59\",\"Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=59\",\"Find(0)=0, Find(6)=0, Add (0,6)=31 Failed, w=59\",\"Find(3)=0, Find(5)=0, Add (3,5)=32 Failed, w=59\",\"Find(0)=0, Find(5)=0, Add (0,5)=42 Failed, w=59\",\"Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=59\",\"Find(3)=0, Find(7)=0, Add (3,7)=43 Failed, w=59\",\"Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=59\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=59\",\"Find(0)=0, Find(7)=0, Add (0,7)=68 Failed, w=59\",\"Find(1)=0, Find(6)=0, Add (1,6)=75 Failed, w=59\",\"Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=59\",\"Find(4)=0, Find(7)=0, Add (4,7)=81 Failed, w=59\",\"Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=59\",\"Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=59\",\"Find(2)=0, Find(7)=0, Add (2,7)=92 Failed, w=59\",\"Find(4)=0, Find(6)=0, Add (4,6)=92 Failed, w=59\",\"Find(5)=0, Find(7)=0, Add (5,7)=96 Failed, w=59\",\"Find(1)=0, Find(7)=0, Add (1,7)=99 Failed, w=59\"],\"Answer\":59}",
"role": "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],[0,2,23],[0,3,5],[0,4,53],[0,5,42],[0,6,31],[0,7,68],[1,2,0],[1,3,42],[1,4,30],[1,6,75],[1,7,99],[2,3,23],[2,4,8],[2,5,82],[2,6,21],[2,7,92],[3,4,62],[3,5,32],[3,6,78],[3,7,43],[4,5,13],[4,6,92],[4,7,81],[5,6,89],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,3)=5,(0,1)=6,(6,7)=6,(2,4)=8,(4,5)=13,(2,6)=21,(0,2)=23,(2,3)=23,(1,4)=30,(0,6)=31,(3,5)=32,(0,5)=42,(1,3)=42,(3,7)=43,(0,4)=53,(3,4)=62,(0,7)=68,(1,6)=75,(3,6)=78,(4,7)=81,(2,5)=82,(5,6)=89,(2,7)=92,(4,6)=92,(5,7)=96,(1,7)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 6}, Find(2)=0, Find(4)=4, Add (2,4)=8 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 6}, Find(4)=0, Find(5)=5, Add (4,5)=13 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(2)=0, Find(6)=6, Add (2,6)=21 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(2)=0, Add (0,2)=23 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(6)=0, Add (0,6)=31 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(3)=0, Find(5)=0, Add (3,5)=32 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(5)=0, Add (0,5)=42 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=59\",\"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)=43 Failed, w=59\",\"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)=53 Failed, w=59\",\"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)=62 Failed, w=59\",\"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)=68 Failed, w=59\",\"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)=75 Failed, w=59\",\"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)=78 Failed, w=59\",\"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)=81 Failed, w=59\",\"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)=82 Failed, w=59\",\"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=59\",\"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)=92 Failed, w=59\",\"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)=92 Failed, w=59\",\"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)=96 Failed, w=59\",\"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)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,85],[0,3,87],[0,5,52],[0,6,6],[1,2,91],[1,4,86],[1,5,51],[1,6,57],[2,3,81],[2,4,100],[2,5,97],[2,6,1],[3,4,57],[3,5,59],[3,6,20],[4,5,33],[4,6,9],[5,6,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,3,87],[0,5,52],[0,6,6],[1,2,91],[1,4,86],[1,5,51],[1,6,57],[2,3,81],[2,4,100],[2,5,97],[2,6,1],[3,4,57],[3,5,59],[3,6,20],[4,5,33],[4,6,9],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,3,87],[0,5,52],[0,6,6],[1,2,91],[1,4,86],[1,5,51],[1,6,57],[2,3,81],[2,4,100],[2,5,97],[2,6,1],[3,4,57],[3,5,59],[3,6,20],[4,5,33],[4,6,9],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (1,5)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,3,87],[0,5,52],[0,6,6],[1,2,91],[1,4,86],[1,5,51],[1,6,57],[2,3,81],[2,4,100],[2,5,97],[2,6,1],[3,4,57],[3,5,59],[3,6,20],[4,5,33],[4,6,9],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (0,6)=6, w=7\",\"Add (4,6)=9, w=16\",\"Add (3,6)=20, w=36\",\"Add (4,5)=33, w=69\",\"Add (1,5)=51, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,3,87],[0,5,52],[0,6,6],[1,2,91],[1,4,86],[1,5,51],[1,6,57],[2,3,81],[2,4,100],[2,5,97],[2,6,1],[3,4,57],[3,5,59],[3,6,20],[4,5,33],[4,6,9],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (0,6)=6 Succeeded, w=7\",\"Add (4,6)=9 Succeeded, w=16\",\"Add (3,6)=20 Succeeded, w=36\",\"Add (4,5)=33 Succeeded, w=69\",\"Add (5,6)=34 Failed, w=69\",\"Add (1,5)=51 Succeeded, w=120\",\"Add (0,5)=52 Failed, w=120\",\"Add (1,6)=57 Failed, w=120\",\"Add (3,4)=57 Failed, w=120\",\"Add (3,5)=59 Failed, w=120\",\"Add (2,3)=81 Failed, w=120\",\"Add (0,1)=85 Failed, w=120\",\"Add (1,4)=86 Failed, w=120\",\"Add (0,3)=87 Failed, w=120\",\"Add (1,2)=91 Failed, w=120\",\"Add (2,5)=97 Failed, w=120\",\"Add (2,4)=100 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,3,87],[0,5,52],[0,6,6],[1,2,91],[1,4,86],[1,5,51],[1,6,57],[2,3,81],[2,4,100],[2,5,97],[2,6,1],[3,4,57],[3,5,59],[3,6,20],[4,5,33],[4,6,9],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(0,6)=6,(4,6)=9,(3,6)=20,(4,5)=33,(5,6)=34,(1,5)=51,(0,5)=52,(1,6)=57,(3,4)=57,(3,5)=59,(2,3)=81,(0,1)=85,(1,4)=86,(0,3)=87,(1,2)=91,(2,5)=97,(2,4)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=2, Add (0,6)=6 Succeeded, w=7\",\"Find(4)=4, Find(6)=2, Add (4,6)=9 Succeeded, w=16\",\"Find(3)=3, Find(6)=2, Add (3,6)=20 Succeeded, w=36\",\"Find(4)=2, Find(5)=5, Add (4,5)=33 Succeeded, w=69\",\"Find(5)=2, Find(6)=2, Add (5,6)=34 Failed, w=69\",\"Find(1)=1, Find(5)=2, Add (1,5)=51 Succeeded, w=120\",\"Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=120\",\"Find(1)=2, Find(6)=2, Add (1,6)=57 Failed, w=120\",\"Find(3)=2, Find(4)=2, Add (3,4)=57 Failed, w=120\",\"Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=120\",\"Find(2)=2, Find(3)=2, Add (2,3)=81 Failed, w=120\",\"Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=120\",\"Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=120\",\"Find(0)=2, Find(3)=2, Add (0,3)=87 Failed, w=120\",\"Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=120\",\"Find(2)=2, Find(5)=2, Add (2,5)=97 Failed, w=120\",\"Find(2)=2, Find(4)=2, Add (2,4)=100 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,3,87],[0,5,52],[0,6,6],[1,2,91],[1,4,86],[1,5,51],[1,6,57],[2,3,81],[2,4,100],[2,5,97],[2,6,1],[3,4,57],[3,5,59],[3,6,20],[4,5,33],[4,6,9],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(0,6)=6,(4,6)=9,(3,6)=20,(4,5)=33,(5,6)=34,(1,5)=51,(0,5)=52,(1,6)=57,(3,4)=57,(3,5)=59,(2,3)=81,(0,1)=85,(1,4)=86,(0,3)=87,(1,2)=91,(2,5)=97,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=6 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=9 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=20 Succeeded, w=36\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=5, Add (4,5)=33 Succeeded, w=69\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=34 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=51 Succeeded, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=57 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=57 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=81 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=87 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=97 Failed, w=120\",\"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=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,61],[0,3,59],[1,2,38],[1,3,8],[2,3,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,61],[0,3,59],[1,2,38],[1,3,8],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,61],[0,3,59],[1,2,38],[1,3,8],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,61],[0,3,59],[1,2,38],[1,3,8],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8, w=8\",\"Add (1,2)=38, w=46\",\"Add (0,3)=59, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,61],[0,3,59],[1,2,38],[1,3,8],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8 Succeeded, w=8\",\"Add (1,2)=38 Succeeded, w=46\",\"Add (2,3)=46 Failed, w=46\",\"Add (0,3)=59 Succeeded, w=105\",\"Add (0,2)=61 Failed, w=105\",\"Add (0,1)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,61],[0,3,59],[1,2,38],[1,3,8],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(1,2)=38,(2,3)=46,(0,3)=59,(0,2)=61,(0,1)=77]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=46\",\"Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=46\",\"Find(0)=0, Find(3)=1, Add (0,3)=59 Succeeded, w=105\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=105\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,61],[0,3,59],[1,2,38],[1,3,8],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(1,2)=38,(2,3)=46,(0,3)=59,(0,2)=61,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=59 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,96],[0,2,13],[0,3,33],[0,4,90],[0,5,8],[1,2,74],[1,3,54],[1,4,28],[1,5,92],[1,6,65],[2,3,79],[2,5,40],[2,6,40],[3,4,61],[3,6,45],[4,5,83],[5,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,13],[0,3,33],[0,4,90],[0,5,8],[1,2,74],[1,3,54],[1,4,28],[1,5,92],[1,6,65],[2,3,79],[2,5,40],[2,6,40],[3,4,61],[3,6,45],[4,5,83],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,13],[0,3,33],[0,4,90],[0,5,8],[1,2,74],[1,3,54],[1,4,28],[1,5,92],[1,6,65],[2,3,79],[2,5,40],[2,6,40],[3,4,61],[3,6,45],[4,5,83],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,13],[0,3,33],[0,4,90],[0,5,8],[1,2,74],[1,3,54],[1,4,28],[1,5,92],[1,6,65],[2,3,79],[2,5,40],[2,6,40],[3,4,61],[3,6,45],[4,5,83],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7, w=7\",\"Add (0,5)=8, w=15\",\"Add (0,2)=13, w=28\",\"Add (1,4)=28, w=56\",\"Add (0,3)=33, w=89\",\"Add (1,3)=54, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,13],[0,3,33],[0,4,90],[0,5,8],[1,2,74],[1,3,54],[1,4,28],[1,5,92],[1,6,65],[2,3,79],[2,5,40],[2,6,40],[3,4,61],[3,6,45],[4,5,83],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7 Succeeded, w=7\",\"Add (0,5)=8 Succeeded, w=15\",\"Add (0,2)=13 Succeeded, w=28\",\"Add (1,4)=28 Succeeded, w=56\",\"Add (0,3)=33 Succeeded, w=89\",\"Add (2,5)=40 Failed, w=89\",\"Add (2,6)=40 Failed, w=89\",\"Add (3,6)=45 Failed, w=89\",\"Add (1,3)=54 Succeeded, w=143\",\"Add (3,4)=61 Failed, w=143\",\"Add (1,6)=65 Failed, w=143\",\"Add (1,2)=74 Failed, w=143\",\"Add (2,3)=79 Failed, w=143\",\"Add (4,5)=83 Failed, w=143\",\"Add (0,4)=90 Failed, w=143\",\"Add (1,5)=92 Failed, w=143\",\"Add (0,1)=96 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,13],[0,3,33],[0,4,90],[0,5,8],[1,2,74],[1,3,54],[1,4,28],[1,5,92],[1,6,65],[2,3,79],[2,5,40],[2,6,40],[3,4,61],[3,6,45],[4,5,83],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(0,5)=8,(0,2)=13,(1,4)=28,(0,3)=33,(2,5)=40,(2,6)=40,(3,6)=45,(1,3)=54,(3,4)=61,(1,6)=65,(1,2)=74,(2,3)=79,(4,5)=83,(0,4)=90,(1,5)=92,(0,1)=96]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=15\",\"Find(0)=5, Find(2)=2, Add (0,2)=13 Succeeded, w=28\",\"Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=56\",\"Find(0)=5, Find(3)=3, Add (0,3)=33 Succeeded, w=89\",\"Find(2)=5, Find(5)=5, Add (2,5)=40 Failed, w=89\",\"Find(2)=5, Find(6)=5, Add (2,6)=40 Failed, w=89\",\"Find(3)=5, Find(6)=5, Add (3,6)=45 Failed, w=89\",\"Find(1)=1, Find(3)=5, Add (1,3)=54 Succeeded, w=143\",\"Find(3)=1, Find(4)=1, Add (3,4)=61 Failed, w=143\",\"Find(1)=1, Find(6)=1, Add (1,6)=65 Failed, w=143\",\"Find(1)=1, Find(2)=1, Add (1,2)=74 Failed, w=143\",\"Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=143\",\"Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=143\",\"Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=143\",\"Find(1)=1, Find(5)=1, Add (1,5)=92 Failed, w=143\",\"Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,13],[0,3,33],[0,4,90],[0,5,8],[1,2,74],[1,3,54],[1,4,28],[1,5,92],[1,6,65],[2,3,79],[2,5,40],[2,6,40],[3,4,61],[3,6,45],[4,5,83],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(0,5)=8,(0,2)=13,(1,4)=28,(0,3)=33,(2,5)=40,(2,6)=40,(3,6)=45,(1,3)=54,(3,4)=61,(1,6)=65,(1,2)=74,(2,3)=79,(4,5)=83,(0,4)=90,(1,5)=92,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=15\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=5, Find(2)=2, Add (0,2)=13 Succeeded, w=28\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=56\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(0)=5, Find(3)=3, Add (0,3)=33 Succeeded, w=89\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=40 Failed, w=89\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=40 Failed, w=89\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=45 Failed, w=89\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 1, 6: 5}, Find(1)=1, Find(3)=5, Add (1,3)=54 Succeeded, w=143\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 5}, Find(3)=1, Find(4)=1, Add (3,4)=61 Failed, w=143\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=65 Failed, w=143\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=74 Failed, w=143\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=143\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=92 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,20],[0,4,39],[1,2,39],[1,3,66],[1,4,25],[2,3,12],[2,4,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,20],[0,4,39],[1,2,39],[1,3,66],[1,4,25],[2,3,12],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,20],[0,4,39],[1,2,39],[1,3,66],[1,4,25],[2,3,12],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,20],[0,4,39],[1,2,39],[1,3,66],[1,4,25],[2,3,12],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7, w=7\",\"Add (2,3)=12, w=19\",\"Add (0,2)=20, w=39\",\"Add (1,4)=25, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,20],[0,4,39],[1,2,39],[1,3,66],[1,4,25],[2,3,12],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7 Succeeded, w=7\",\"Add (2,3)=12 Succeeded, w=19\",\"Add (0,2)=20 Succeeded, w=39\",\"Add (1,4)=25 Succeeded, w=64\",\"Add (0,4)=39 Failed, w=64\",\"Add (1,2)=39 Failed, w=64\",\"Add (0,1)=57 Failed, w=64\",\"Add (1,3)=66 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,20],[0,4,39],[1,2,39],[1,3,66],[1,4,25],[2,3,12],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(2,3)=12,(0,2)=20,(1,4)=25,(0,4)=39,(1,2)=39,(0,1)=57,(1,3)=66]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=39\",\"Find(1)=1, Find(4)=2, Add (1,4)=25 Succeeded, w=64\",\"Find(0)=2, Find(4)=2, Add (0,4)=39 Failed, w=64\",\"Find(1)=2, Find(2)=2, Add (1,2)=39 Failed, w=64\",\"Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=64\",\"Find(1)=2, Find(3)=2, Add (1,3)=66 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,20],[0,4,39],[1,2,39],[1,3,66],[1,4,25],[2,3,12],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(2,3)=12,(0,2)=20,(1,4)=25,(0,4)=39,(1,2)=39,(0,1)=57,(1,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=25 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=39 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=39 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=66 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,79],[0,3,97],[0,4,13],[1,2,65],[1,3,62],[1,4,67],[1,5,22],[2,3,79],[2,4,6],[2,5,66],[3,4,12],[3,5,32],[4,5,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,97],[0,4,13],[1,2,65],[1,3,62],[1,4,67],[1,5,22],[2,3,79],[2,4,6],[2,5,66],[3,4,12],[3,5,32],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,97],[0,4,13],[1,2,65],[1,3,62],[1,4,67],[1,5,22],[2,3,79],[2,4,6],[2,5,66],[3,4,12],[3,5,32],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (3,5)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,97],[0,4,13],[1,2,65],[1,3,62],[1,4,67],[1,5,22],[2,3,79],[2,4,6],[2,5,66],[3,4,12],[3,5,32],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (3,4)=12, w=18\",\"Add (0,4)=13, w=31\",\"Add (1,5)=22, w=53\",\"Add (3,5)=32, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,97],[0,4,13],[1,2,65],[1,3,62],[1,4,67],[1,5,22],[2,3,79],[2,4,6],[2,5,66],[3,4,12],[3,5,32],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (3,4)=12 Succeeded, w=18\",\"Add (0,4)=13 Succeeded, w=31\",\"Add (1,5)=22 Succeeded, w=53\",\"Add (3,5)=32 Succeeded, w=85\",\"Add (1,3)=62 Failed, w=85\",\"Add (1,2)=65 Failed, w=85\",\"Add (2,5)=66 Failed, w=85\",\"Add (1,4)=67 Failed, w=85\",\"Add (0,2)=79 Failed, w=85\",\"Add (2,3)=79 Failed, w=85\",\"Add (4,5)=91 Failed, w=85\",\"Add (0,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,97],[0,4,13],[1,2,65],[1,3,62],[1,4,67],[1,5,22],[2,3,79],[2,4,6],[2,5,66],[3,4,12],[3,5,32],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(3,4)=12,(0,4)=13,(1,5)=22,(3,5)=32,(1,3)=62,(1,2)=65,(2,5)=66,(1,4)=67,(0,2)=79,(2,3)=79,(4,5)=91,(0,3)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(3)=3, Find(4)=2, Add (3,4)=12 Succeeded, w=18\",\"Find(0)=0, Find(4)=2, Add (0,4)=13 Succeeded, w=31\",\"Find(1)=1, Find(5)=5, Add (1,5)=22 Succeeded, w=53\",\"Find(3)=2, Find(5)=1, Add (3,5)=32 Succeeded, w=85\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=85\",\"Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=85\",\"Find(2)=2, Find(5)=2, Add (2,5)=66 Failed, w=85\",\"Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=85\",\"Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=85\",\"Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=85\",\"Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=85\",\"Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,97],[0,4,13],[1,2,65],[1,3,62],[1,4,67],[1,5,22],[2,3,79],[2,4,6],[2,5,66],[3,4,12],[3,5,32],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(3,4)=12,(0,4)=13,(1,5)=22,(3,5)=32,(1,3)=62,(1,2)=65,(2,5)=66,(1,4)=67,(0,2)=79,(2,3)=79,(4,5)=91,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=3, Find(4)=2, Add (3,4)=12 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=0, Find(4)=2, Add (0,4)=13 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=22 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(5)=1, Add (3,5)=32 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=66 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=85\",\"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=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,4],[0,2,81],[0,3,15],[0,4,13],[1,2,3],[1,3,96],[1,4,52],[2,3,65],[2,4,40],[3,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,81],[0,3,15],[0,4,13],[1,2,3],[1,3,96],[1,4,52],[2,3,65],[2,4,40],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,81],[0,3,15],[0,4,13],[1,2,3],[1,3,96],[1,4,52],[2,3,65],[2,4,40],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,81],[0,3,15],[0,4,13],[1,2,3],[1,3,96],[1,4,52],[2,3,65],[2,4,40],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,1)=4, w=7\",\"Add (0,4)=13, w=20\",\"Add (0,3)=15, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,81],[0,3,15],[0,4,13],[1,2,3],[1,3,96],[1,4,52],[2,3,65],[2,4,40],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,1)=4 Succeeded, w=7\",\"Add (0,4)=13 Succeeded, w=20\",\"Add (0,3)=15 Succeeded, w=35\",\"Add (3,4)=21 Failed, w=35\",\"Add (2,4)=40 Failed, w=35\",\"Add (1,4)=52 Failed, w=35\",\"Add (2,3)=65 Failed, w=35\",\"Add (0,2)=81 Failed, w=35\",\"Add (1,3)=96 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,81],[0,3,15],[0,4,13],[1,2,3],[1,3,96],[1,4,52],[2,3,65],[2,4,40],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,1)=4,(0,4)=13,(0,3)=15,(3,4)=21,(2,4)=40,(1,4)=52,(2,3)=65,(0,2)=81,(1,3)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Find(0)=1, Find(4)=4, Add (0,4)=13 Succeeded, w=20\",\"Find(0)=1, Find(3)=3, Add (0,3)=15 Succeeded, w=35\",\"Find(3)=1, Find(4)=1, Add (3,4)=21 Failed, w=35\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=35\",\"Find(1)=1, Find(4)=1, Add (1,4)=52 Failed, w=35\",\"Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=35\",\"Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=35\",\"Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,81],[0,3,15],[0,4,13],[1,2,3],[1,3,96],[1,4,52],[2,3,65],[2,4,40],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,1)=4,(0,4)=13,(0,3)=15,(3,4)=21,(2,4)=40,(1,4)=52,(2,3)=65,(0,2)=81,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=13 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=15 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=21 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=52 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,3,25],[0,4,54],[1,2,17],[1,3,77],[1,4,69],[1,5,43],[2,4,37],[2,5,6],[3,4,72],[3,5,46],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,25],[0,4,54],[1,2,17],[1,3,77],[1,4,69],[1,5,43],[2,4,37],[2,5,6],[3,4,72],[3,5,46],[4,5,80]]}",
"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],\"edges\":[[0,1,6],[0,3,25],[0,4,54],[1,2,17],[1,3,77],[1,4,69],[1,5,43],[2,4,37],[2,5,6],[3,4,72],[3,5,46],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,25],[0,4,54],[1,2,17],[1,3,77],[1,4,69],[1,5,43],[2,4,37],[2,5,6],[3,4,72],[3,5,46],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (2,5)=6, w=12\",\"Add (1,2)=17, w=29\",\"Add (0,3)=25, w=54\",\"Add (2,4)=37, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,25],[0,4,54],[1,2,17],[1,3,77],[1,4,69],[1,5,43],[2,4,37],[2,5,6],[3,4,72],[3,5,46],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (2,5)=6 Succeeded, w=12\",\"Add (1,2)=17 Succeeded, w=29\",\"Add (0,3)=25 Succeeded, w=54\",\"Add (2,4)=37 Succeeded, w=91\",\"Add (1,5)=43 Failed, w=91\",\"Add (3,5)=46 Failed, w=91\",\"Add (0,4)=54 Failed, w=91\",\"Add (1,4)=69 Failed, w=91\",\"Add (3,4)=72 Failed, w=91\",\"Add (1,3)=77 Failed, w=91\",\"Add (4,5)=80 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],\"edges\":[[0,1,6],[0,3,25],[0,4,54],[1,2,17],[1,3,77],[1,4,69],[1,5,43],[2,4,37],[2,5,6],[3,4,72],[3,5,46],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(2,5)=6,(1,2)=17,(0,3)=25,(2,4)=37,(1,5)=43,(3,5)=46,(0,4)=54,(1,4)=69,(3,4)=72,(1,3)=77,(4,5)=80]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=12\",\"Find(1)=0, Find(2)=2, Add (1,2)=17 Succeeded, w=29\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=54\",\"Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=91\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=91\",\"Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=91\",\"Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=91\",\"Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=91\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=91\",\"Find(4)=0, Find(5)=0, Add (4,5)=80 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],\"edges\":[[0,1,6],[0,3,25],[0,4,54],[1,2,17],[1,3,77],[1,4,69],[1,5,43],[2,4,37],[2,5,6],[3,4,72],[3,5,46],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(2,5)=6,(1,2)=17,(0,3)=25,(2,4)=37,(1,5)=43,(3,5)=46,(0,4)=54,(1,4)=69,(3,4)=72,(1,3)=77,(4,5)=80]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2}, Find(1)=0, Find(2)=2, Add (1,2)=17 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,34],[0,3,87],[0,4,59],[0,5,2],[1,2,99],[1,3,24],[1,4,58],[1,5,42],[1,6,16],[2,3,25],[2,4,97],[2,6,91],[3,4,10],[3,5,97],[4,5,77],[4,6,56],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,34],[0,3,87],[0,4,59],[0,5,2],[1,2,99],[1,3,24],[1,4,58],[1,5,42],[1,6,16],[2,3,25],[2,4,97],[2,6,91],[3,4,10],[3,5,97],[4,5,77],[4,6,56],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,34],[0,3,87],[0,4,59],[0,5,2],[1,2,99],[1,3,24],[1,4,58],[1,5,42],[1,6,16],[2,3,25],[2,4,97],[2,6,91],[3,4,10],[3,5,97],[4,5,77],[4,6,56],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,34],[0,3,87],[0,4,59],[0,5,2],[1,2,99],[1,3,24],[1,4,58],[1,5,42],[1,6,16],[2,3,25],[2,4,97],[2,6,91],[3,4,10],[3,5,97],[4,5,77],[4,6,56],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (3,4)=10, w=12\",\"Add (1,6)=16, w=28\",\"Add (1,3)=24, w=52\",\"Add (2,3)=25, w=77\",\"Add (0,2)=34, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,34],[0,3,87],[0,4,59],[0,5,2],[1,2,99],[1,3,24],[1,4,58],[1,5,42],[1,6,16],[2,3,25],[2,4,97],[2,6,91],[3,4,10],[3,5,97],[4,5,77],[4,6,56],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (3,4)=10 Succeeded, w=12\",\"Add (1,6)=16 Succeeded, w=28\",\"Add (1,3)=24 Succeeded, w=52\",\"Add (2,3)=25 Succeeded, w=77\",\"Add (0,2)=34 Succeeded, w=111\",\"Add (1,5)=42 Failed, w=111\",\"Add (4,6)=56 Failed, w=111\",\"Add (1,4)=58 Failed, w=111\",\"Add (0,4)=59 Failed, w=111\",\"Add (4,5)=77 Failed, w=111\",\"Add (5,6)=85 Failed, w=111\",\"Add (0,3)=87 Failed, w=111\",\"Add (2,6)=91 Failed, w=111\",\"Add (2,4)=97 Failed, w=111\",\"Add (3,5)=97 Failed, w=111\",\"Add (1,2)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,34],[0,3,87],[0,4,59],[0,5,2],[1,2,99],[1,3,24],[1,4,58],[1,5,42],[1,6,16],[2,3,25],[2,4,97],[2,6,91],[3,4,10],[3,5,97],[4,5,77],[4,6,56],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(3,4)=10,(1,6)=16,(1,3)=24,(2,3)=25,(0,2)=34,(1,5)=42,(4,6)=56,(1,4)=58,(0,4)=59,(4,5)=77,(5,6)=85,(0,3)=87,(2,6)=91,(2,4)=97,(3,5)=97,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=12\",\"Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=52\",\"Find(2)=2, Find(3)=1, Add (2,3)=25 Succeeded, w=77\",\"Find(0)=0, Find(2)=1, Add (0,2)=34 Succeeded, w=111\",\"Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=111\",\"Find(4)=1, Find(6)=1, Add (4,6)=56 Failed, w=111\",\"Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=111\",\"Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=111\",\"Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=111\",\"Find(5)=1, Find(6)=1, Add (5,6)=85 Failed, w=111\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=111\",\"Find(2)=1, Find(6)=1, Add (2,6)=91 Failed, w=111\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=111\",\"Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=111\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,34],[0,3,87],[0,4,59],[0,5,2],[1,2,99],[1,3,24],[1,4,58],[1,5,42],[1,6,16],[2,3,25],[2,4,97],[2,6,91],[3,4,10],[3,5,97],[4,5,77],[4,6,56],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(3,4)=10,(1,6)=16,(1,3)=24,(2,3)=25,(0,2)=34,(1,5)=42,(4,6)=56,(1,4)=58,(0,4)=59,(4,5)=77,(5,6)=85,(0,3)=87,(2,6)=91,(2,4)=97,(3,5)=97,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 3, 5: 0, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 0, 6: 1}, Find(2)=2, Find(3)=1, Add (2,3)=25 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 0, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=34 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=56 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=85 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=91 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=111\",\"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=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,64],[0,3,30],[0,6,99],[1,2,53],[1,3,92],[1,5,69],[1,7,78],[2,3,79],[2,4,29],[2,6,81],[2,7,6],[3,5,98],[3,6,84],[3,7,8],[5,6,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,30],[0,6,99],[1,2,53],[1,3,92],[1,5,69],[1,7,78],[2,3,79],[2,4,29],[2,6,81],[2,7,6],[3,5,98],[3,6,84],[3,7,8],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,30],[0,6,99],[1,2,53],[1,3,92],[1,5,69],[1,7,78],[2,3,79],[2,4,29],[2,6,81],[2,7,6],[3,5,98],[3,6,84],[3,7,8],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (3,7)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (1,5)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,30],[0,6,99],[1,2,53],[1,3,92],[1,5,69],[1,7,78],[2,3,79],[2,4,29],[2,6,81],[2,7,6],[3,5,98],[3,6,84],[3,7,8],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=6, w=6\",\"Add (3,7)=8, w=14\",\"Add (5,6)=15, w=29\",\"Add (2,4)=29, w=58\",\"Add (0,3)=30, w=88\",\"Add (1,2)=53, w=141\",\"Add (1,5)=69, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,30],[0,6,99],[1,2,53],[1,3,92],[1,5,69],[1,7,78],[2,3,79],[2,4,29],[2,6,81],[2,7,6],[3,5,98],[3,6,84],[3,7,8],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=6 Succeeded, w=6\",\"Add (3,7)=8 Succeeded, w=14\",\"Add (5,6)=15 Succeeded, w=29\",\"Add (2,4)=29 Succeeded, w=58\",\"Add (0,3)=30 Succeeded, w=88\",\"Add (1,2)=53 Succeeded, w=141\",\"Add (0,1)=64 Failed, w=141\",\"Add (1,5)=69 Succeeded, w=210\",\"Add (1,7)=78 Failed, w=210\",\"Add (2,3)=79 Failed, w=210\",\"Add (2,6)=81 Failed, w=210\",\"Add (3,6)=84 Failed, w=210\",\"Add (1,3)=92 Failed, w=210\",\"Add (3,5)=98 Failed, w=210\",\"Add (0,6)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,30],[0,6,99],[1,2,53],[1,3,92],[1,5,69],[1,7,78],[2,3,79],[2,4,29],[2,6,81],[2,7,6],[3,5,98],[3,6,84],[3,7,8],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=6,(3,7)=8,(5,6)=15,(2,4)=29,(0,3)=30,(1,2)=53,(0,1)=64,(1,5)=69,(1,7)=78,(2,3)=79,(2,6)=81,(3,6)=84,(1,3)=92,(3,5)=98,(0,6)=99]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=6\",\"Find(3)=3, Find(7)=2, Add (3,7)=8 Succeeded, w=14\",\"Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=29\",\"Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=58\",\"Find(0)=0, Find(3)=2, Add (0,3)=30 Succeeded, w=88\",\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=141\",\"Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=141\",\"Find(1)=2, Find(5)=5, Add (1,5)=69 Succeeded, w=210\",\"Find(1)=2, Find(7)=2, Add (1,7)=78 Failed, w=210\",\"Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=210\",\"Find(2)=2, Find(6)=2, Add (2,6)=81 Failed, w=210\",\"Find(3)=2, Find(6)=2, Add (3,6)=84 Failed, w=210\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=210\",\"Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=210\",\"Find(0)=2, Find(6)=2, Add (0,6)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,30],[0,6,99],[1,2,53],[1,3,92],[1,5,69],[1,7,78],[2,3,79],[2,4,29],[2,6,81],[2,7,6],[3,5,98],[3,6,84],[3,7,8],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=6,(3,7)=8,(5,6)=15,(2,4)=29,(0,3)=30,(1,2)=53,(0,1)=64,(1,5)=69,(1,7)=78,(2,3)=79,(2,6)=81,(3,6)=84,(1,3)=92,(3,5)=98,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5, 7: 2}, Find(0)=0, Find(3)=2, Add (0,3)=30 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(1)=2, Find(5)=5, Add (1,5)=69 Succeeded, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=78 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=210\",\"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)=81 Failed, w=210\",\"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)=84 Failed, w=210\",\"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)=92 Failed, w=210\",\"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)=98 Failed, w=210\",\"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)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,2,57],[0,3,53],[0,4,86],[0,5,46],[1,2,57],[1,3,71],[1,4,10],[1,5,71],[2,3,28],[2,4,42],[2,5,61],[3,4,4],[3,5,63],[4,5,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,53],[0,4,86],[0,5,46],[1,2,57],[1,3,71],[1,4,10],[1,5,71],[2,3,28],[2,4,42],[2,5,61],[3,4,4],[3,5,63],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,53],[0,4,86],[0,5,46],[1,2,57],[1,3,71],[1,4,10],[1,5,71],[2,3,28],[2,4,42],[2,5,61],[3,4,4],[3,5,63],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (0,3)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,53],[0,4,86],[0,5,46],[1,2,57],[1,3,71],[1,4,10],[1,5,71],[2,3,28],[2,4,42],[2,5,61],[3,4,4],[3,5,63],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (1,4)=10, w=14\",\"Add (2,3)=28, w=42\",\"Add (0,5)=46, w=88\",\"Add (0,3)=53, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,53],[0,4,86],[0,5,46],[1,2,57],[1,3,71],[1,4,10],[1,5,71],[2,3,28],[2,4,42],[2,5,61],[3,4,4],[3,5,63],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (1,4)=10 Succeeded, w=14\",\"Add (2,3)=28 Succeeded, w=42\",\"Add (2,4)=42 Failed, w=42\",\"Add (0,5)=46 Succeeded, w=88\",\"Add (0,3)=53 Succeeded, w=141\",\"Add (0,2)=57 Failed, w=141\",\"Add (1,2)=57 Failed, w=141\",\"Add (2,5)=61 Failed, w=141\",\"Add (3,5)=63 Failed, w=141\",\"Add (4,5)=68 Failed, w=141\",\"Add (1,3)=71 Failed, w=141\",\"Add (1,5)=71 Failed, w=141\",\"Add (0,1)=75 Failed, w=141\",\"Add (0,4)=86 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,53],[0,4,86],[0,5,46],[1,2,57],[1,3,71],[1,4,10],[1,5,71],[2,3,28],[2,4,42],[2,5,61],[3,4,4],[3,5,63],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,4)=10,(2,3)=28,(2,4)=42,(0,5)=46,(0,3)=53,(0,2)=57,(1,2)=57,(2,5)=61,(3,5)=63,(4,5)=68,(1,3)=71,(1,5)=71,(0,1)=75,(0,4)=86]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=3, Add (1,4)=10 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=42\",\"Find(2)=3, Find(4)=3, Add (2,4)=42 Failed, w=42\",\"Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=88\",\"Find(0)=0, Find(3)=3, Add (0,3)=53 Succeeded, w=141\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=141\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=141\",\"Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=141\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=141\",\"Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=141\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=141\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=141\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=141\",\"Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,53],[0,4,86],[0,5,46],[1,2,57],[1,3,71],[1,4,10],[1,5,71],[2,3,28],[2,4,42],[2,5,61],[3,4,4],[3,5,63],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,4)=10,(2,3)=28,(2,4)=42,(0,5)=46,(0,3)=53,(0,2)=57,(1,2)=57,(2,5)=61,(3,5)=63,(4,5)=68,(1,3)=71,(1,5)=71,(0,1)=75,(0,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(4)=3, Add (1,4)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=42\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=3, Find(4)=3, Add (2,4)=42 Failed, w=42\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=88\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=53 Succeeded, w=141\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,56],[0,2,49],[0,3,42],[1,2,69],[2,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,49],[0,3,42],[1,2,69],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,49],[0,3,42],[1,2,69],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,49],[0,3,42],[1,2,69],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=42, w=42\",\"Add (0,2)=49, w=91\",\"Add (0,1)=56, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,49],[0,3,42],[1,2,69],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=42 Succeeded, w=42\",\"Add (0,2)=49 Succeeded, w=91\",\"Add (0,1)=56 Succeeded, w=147\",\"Add (1,2)=69 Failed, w=147\",\"Add (2,3)=91 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,49],[0,3,42],[1,2,69],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=42,(0,2)=49,(0,1)=56,(1,2)=69,(2,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=42\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=91\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=147\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=147\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,49],[0,3,42],[1,2,69],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=42,(0,2)=49,(0,1)=56,(1,2)=69,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,2,34],[0,3,92],[0,4,3],[0,5,75],[0,6,35],[1,2,95],[1,3,83],[1,4,47],[1,5,72],[1,6,79],[2,3,72],[2,4,98],[2,5,93],[2,6,44],[3,4,19],[3,5,14],[3,6,80],[4,5,45],[4,6,82],[5,6,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,34],[0,3,92],[0,4,3],[0,5,75],[0,6,35],[1,2,95],[1,3,83],[1,4,47],[1,5,72],[1,6,79],[2,3,72],[2,4,98],[2,5,93],[2,6,44],[3,4,19],[3,5,14],[3,6,80],[4,5,45],[4,6,82],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,34],[0,3,92],[0,4,3],[0,5,75],[0,6,35],[1,2,95],[1,3,83],[1,4,47],[1,5,72],[1,6,79],[2,3,72],[2,4,98],[2,5,93],[2,6,44],[3,4,19],[3,5,14],[3,6,80],[4,5,45],[4,6,82],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,34],[0,3,92],[0,4,3],[0,5,75],[0,6,35],[1,2,95],[1,3,83],[1,4,47],[1,5,72],[1,6,79],[2,3,72],[2,4,98],[2,5,93],[2,6,44],[3,4,19],[3,5,14],[3,6,80],[4,5,45],[4,6,82],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (3,5)=14, w=17\",\"Add (3,4)=19, w=36\",\"Add (5,6)=22, w=58\",\"Add (0,2)=34, w=92\",\"Add (0,1)=40, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,34],[0,3,92],[0,4,3],[0,5,75],[0,6,35],[1,2,95],[1,3,83],[1,4,47],[1,5,72],[1,6,79],[2,3,72],[2,4,98],[2,5,93],[2,6,44],[3,4,19],[3,5,14],[3,6,80],[4,5,45],[4,6,82],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (3,5)=14 Succeeded, w=17\",\"Add (3,4)=19 Succeeded, w=36\",\"Add (5,6)=22 Succeeded, w=58\",\"Add (0,2)=34 Succeeded, w=92\",\"Add (0,6)=35 Failed, w=92\",\"Add (0,1)=40 Succeeded, w=132\",\"Add (2,6)=44 Failed, w=132\",\"Add (4,5)=45 Failed, w=132\",\"Add (1,4)=47 Failed, w=132\",\"Add (1,5)=72 Failed, w=132\",\"Add (2,3)=72 Failed, w=132\",\"Add (0,5)=75 Failed, w=132\",\"Add (1,6)=79 Failed, w=132\",\"Add (3,6)=80 Failed, w=132\",\"Add (4,6)=82 Failed, w=132\",\"Add (1,3)=83 Failed, w=132\",\"Add (0,3)=92 Failed, w=132\",\"Add (2,5)=93 Failed, w=132\",\"Add (1,2)=95 Failed, w=132\",\"Add (2,4)=98 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,34],[0,3,92],[0,4,3],[0,5,75],[0,6,35],[1,2,95],[1,3,83],[1,4,47],[1,5,72],[1,6,79],[2,3,72],[2,4,98],[2,5,93],[2,6,44],[3,4,19],[3,5,14],[3,6,80],[4,5,45],[4,6,82],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(3,5)=14,(3,4)=19,(5,6)=22,(0,2)=34,(0,6)=35,(0,1)=40,(2,6)=44,(4,5)=45,(1,4)=47,(1,5)=72,(2,3)=72,(0,5)=75,(1,6)=79,(3,6)=80,(4,6)=82,(1,3)=83,(0,3)=92,(2,5)=93,(1,2)=95,(2,4)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=17\",\"Find(3)=3, Find(4)=0, Add (3,4)=19 Succeeded, w=36\",\"Find(5)=3, Find(6)=6, Add (5,6)=22 Succeeded, w=58\",\"Find(0)=3, Find(2)=2, Add (0,2)=34 Succeeded, w=92\",\"Find(0)=3, Find(6)=3, Add (0,6)=35 Failed, w=92\",\"Find(0)=3, Find(1)=1, Add (0,1)=40 Succeeded, w=132\",\"Find(2)=3, Find(6)=3, Add (2,6)=44 Failed, w=132\",\"Find(4)=3, Find(5)=3, Add (4,5)=45 Failed, w=132\",\"Find(1)=3, Find(4)=3, Add (1,4)=47 Failed, w=132\",\"Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=132\",\"Find(2)=3, Find(3)=3, Add (2,3)=72 Failed, w=132\",\"Find(0)=3, Find(5)=3, Add (0,5)=75 Failed, w=132\",\"Find(1)=3, Find(6)=3, Add (1,6)=79 Failed, w=132\",\"Find(3)=3, Find(6)=3, Add (3,6)=80 Failed, w=132\",\"Find(4)=3, Find(6)=3, Add (4,6)=82 Failed, w=132\",\"Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=132\",\"Find(0)=3, Find(3)=3, Add (0,3)=92 Failed, w=132\",\"Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=132\",\"Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=132\",\"Find(2)=3, Find(4)=3, Add (2,4)=98 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,34],[0,3,92],[0,4,3],[0,5,75],[0,6,35],[1,2,95],[1,3,83],[1,4,47],[1,5,72],[1,6,79],[2,3,72],[2,4,98],[2,5,93],[2,6,44],[3,4,19],[3,5,14],[3,6,80],[4,5,45],[4,6,82],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(3,5)=14,(3,4)=19,(5,6)=22,(0,2)=34,(0,6)=35,(0,1)=40,(2,6)=44,(4,5)=45,(1,4)=47,(1,5)=72,(2,3)=72,(0,5)=75,(1,6)=79,(3,6)=80,(4,6)=82,(1,3)=83,(0,3)=92,(2,5)=93,(1,2)=95,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=17\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=19 Succeeded, w=36\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 3}, Find(5)=3, Find(6)=6, Add (5,6)=22 Succeeded, w=58\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3}, Find(0)=3, Find(2)=2, Add (0,2)=34 Succeeded, w=92\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=35 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3}, Find(0)=3, Find(1)=1, Add (0,1)=40 Succeeded, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=44 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=45 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=47 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=72 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=75 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=79 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=80 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=82 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=92 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=132\",\"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=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=98 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,52],[0,2,17],[0,3,21],[0,4,34],[0,5,91],[0,6,72],[0,7,92],[1,2,98],[1,4,86],[1,5,96],[1,6,14],[1,7,97],[2,3,37],[2,4,60],[2,5,29],[2,6,13],[2,7,58],[3,4,76],[3,5,29],[3,6,69],[3,7,68],[4,5,65],[4,6,50],[4,7,94],[5,6,45],[5,7,55],[6,7,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,3,21],[0,4,34],[0,5,91],[0,6,72],[0,7,92],[1,2,98],[1,4,86],[1,5,96],[1,6,14],[1,7,97],[2,3,37],[2,4,60],[2,5,29],[2,6,13],[2,7,58],[3,4,76],[3,5,29],[3,6,69],[3,7,68],[4,5,65],[4,6,50],[4,7,94],[5,6,45],[5,7,55],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,3,21],[0,4,34],[0,5,91],[0,6,72],[0,7,92],[1,2,98],[1,4,86],[1,5,96],[1,6,14],[1,7,97],[2,3,37],[2,4,60],[2,5,29],[2,6,13],[2,7,58],[3,4,76],[3,5,29],[3,6,69],[3,7,68],[4,5,65],[4,6,50],[4,7,94],[5,6,45],[5,7,55],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (0,4)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,3,21],[0,4,34],[0,5,91],[0,6,72],[0,7,92],[1,2,98],[1,4,86],[1,5,96],[1,6,14],[1,7,97],[2,3,37],[2,4,60],[2,5,29],[2,6,13],[2,7,58],[3,4,76],[3,5,29],[3,6,69],[3,7,68],[4,5,65],[4,6,50],[4,7,94],[5,6,45],[5,7,55],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=5, w=5\",\"Add (2,6)=13, w=18\",\"Add (1,6)=14, w=32\",\"Add (0,2)=17, w=49\",\"Add (0,3)=21, w=70\",\"Add (2,5)=29, w=99\",\"Add (0,4)=34, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,3,21],[0,4,34],[0,5,91],[0,6,72],[0,7,92],[1,2,98],[1,4,86],[1,5,96],[1,6,14],[1,7,97],[2,3,37],[2,4,60],[2,5,29],[2,6,13],[2,7,58],[3,4,76],[3,5,29],[3,6,69],[3,7,68],[4,5,65],[4,6,50],[4,7,94],[5,6,45],[5,7,55],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=5 Succeeded, w=5\",\"Add (2,6)=13 Succeeded, w=18\",\"Add (1,6)=14 Succeeded, w=32\",\"Add (0,2)=17 Succeeded, w=49\",\"Add (0,3)=21 Succeeded, w=70\",\"Add (2,5)=29 Succeeded, w=99\",\"Add (3,5)=29 Failed, w=99\",\"Add (0,4)=34 Succeeded, w=133\",\"Add (2,3)=37 Failed, w=133\",\"Add (5,6)=45 Failed, w=133\",\"Add (4,6)=50 Failed, w=133\",\"Add (0,1)=52 Failed, w=133\",\"Add (5,7)=55 Failed, w=133\",\"Add (2,7)=58 Failed, w=133\",\"Add (2,4)=60 Failed, w=133\",\"Add (4,5)=65 Failed, w=133\",\"Add (3,7)=68 Failed, w=133\",\"Add (3,6)=69 Failed, w=133\",\"Add (0,6)=72 Failed, w=133\",\"Add (3,4)=76 Failed, w=133\",\"Add (1,4)=86 Failed, w=133\",\"Add (0,5)=91 Failed, w=133\",\"Add (0,7)=92 Failed, w=133\",\"Add (4,7)=94 Failed, w=133\",\"Add (1,5)=96 Failed, w=133\",\"Add (1,7)=97 Failed, w=133\",\"Add (1,2)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,3,21],[0,4,34],[0,5,91],[0,6,72],[0,7,92],[1,2,98],[1,4,86],[1,5,96],[1,6,14],[1,7,97],[2,3,37],[2,4,60],[2,5,29],[2,6,13],[2,7,58],[3,4,76],[3,5,29],[3,6,69],[3,7,68],[4,5,65],[4,6,50],[4,7,94],[5,6,45],[5,7,55],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=5,(2,6)=13,(1,6)=14,(0,2)=17,(0,3)=21,(2,5)=29,(3,5)=29,(0,4)=34,(2,3)=37,(5,6)=45,(4,6)=50,(0,1)=52,(5,7)=55,(2,7)=58,(2,4)=60,(4,5)=65,(3,7)=68,(3,6)=69,(0,6)=72,(3,4)=76,(1,4)=86,(0,5)=91,(0,7)=92,(4,7)=94,(1,5)=96,(1,7)=97,(1,2)=98]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=18\",\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=32\",\"Find(0)=0, Find(2)=6, Add (0,2)=17 Succeeded, w=49\",\"Find(0)=6, Find(3)=3, Add (0,3)=21 Succeeded, w=70\",\"Find(2)=6, Find(5)=5, Add (2,5)=29 Succeeded, w=99\",\"Find(3)=6, Find(5)=6, Add (3,5)=29 Failed, w=99\",\"Find(0)=6, Find(4)=4, Add (0,4)=34 Succeeded, w=133\",\"Find(2)=6, Find(3)=6, Add (2,3)=37 Failed, w=133\",\"Find(5)=6, Find(6)=6, Add (5,6)=45 Failed, w=133\",\"Find(4)=6, Find(6)=6, Add (4,6)=50 Failed, w=133\",\"Find(0)=6, Find(1)=6, Add (0,1)=52 Failed, w=133\",\"Find(5)=6, Find(7)=6, Add (5,7)=55 Failed, w=133\",\"Find(2)=6, Find(7)=6, Add (2,7)=58 Failed, w=133\",\"Find(2)=6, Find(4)=6, Add (2,4)=60 Failed, w=133\",\"Find(4)=6, Find(5)=6, Add (4,5)=65 Failed, w=133\",\"Find(3)=6, Find(7)=6, Add (3,7)=68 Failed, w=133\",\"Find(3)=6, Find(6)=6, Add (3,6)=69 Failed, w=133\",\"Find(0)=6, Find(6)=6, Add (0,6)=72 Failed, w=133\",\"Find(3)=6, Find(4)=6, Add (3,4)=76 Failed, w=133\",\"Find(1)=6, Find(4)=6, Add (1,4)=86 Failed, w=133\",\"Find(0)=6, Find(5)=6, Add (0,5)=91 Failed, w=133\",\"Find(0)=6, Find(7)=6, Add (0,7)=92 Failed, w=133\",\"Find(4)=6, Find(7)=6, Add (4,7)=94 Failed, w=133\",\"Find(1)=6, Find(5)=6, Add (1,5)=96 Failed, w=133\",\"Find(1)=6, Find(7)=6, Add (1,7)=97 Failed, w=133\",\"Find(1)=6, Find(2)=6, Add (1,2)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,17],[0,3,21],[0,4,34],[0,5,91],[0,6,72],[0,7,92],[1,2,98],[1,4,86],[1,5,96],[1,6,14],[1,7,97],[2,3,37],[2,4,60],[2,5,29],[2,6,13],[2,7,58],[3,4,76],[3,5,29],[3,6,69],[3,7,68],[4,5,65],[4,6,50],[4,7,94],[5,6,45],[5,7,55],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=5,(2,6)=13,(1,6)=14,(0,2)=17,(0,3)=21,(2,5)=29,(3,5)=29,(0,4)=34,(2,3)=37,(5,6)=45,(4,6)=50,(0,1)=52,(5,7)=55,(2,7)=58,(2,4)=60,(4,5)=65,(3,7)=68,(3,6)=69,(0,6)=72,(3,4)=76,(1,4)=86,(0,5)=91,(0,7)=92,(4,7)=94,(1,5)=96,(1,7)=97,(1,2)=98]\",\"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: 6, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 6, 2: 6, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=32\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(2)=6, Add (0,2)=17 Succeeded, w=49\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=6, Find(3)=3, Add (0,3)=21 Succeeded, w=70\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 4, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(5)=5, Add (2,5)=29 Succeeded, w=99\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 4, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(5)=6, Add (3,5)=29 Failed, w=99\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(4)=4, Add (0,4)=34 Succeeded, w=133\",\"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)=37 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(6)=6, Add (5,6)=45 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(6)=6, Add (4,6)=50 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(1)=6, Add (0,1)=52 Failed, w=133\",\"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)=55 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(7)=6, Add (2,7)=58 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(4)=6, Add (2,4)=60 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(5)=6, Add (4,5)=65 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(7)=6, Add (3,7)=68 Failed, w=133\",\"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)=69 Failed, w=133\",\"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)=72 Failed, w=133\",\"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)=76 Failed, w=133\",\"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)=86 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(5)=6, Add (0,5)=91 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(7)=6, Add (0,7)=92 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(7)=6, Add (4,7)=94 Failed, w=133\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(5)=6, Add (1,5)=96 Failed, w=133\",\"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)=97 Failed, w=133\",\"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)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,63],[1,3,13],[2,3,60],[2,4,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[1,3,13],[2,3,60],[2,4,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[1,3,13],[2,3,60],[2,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[1,3,13],[2,3,60],[2,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (1,3)=13, w=13\",\"Add (2,3)=60, w=73\",\"Add (0,2)=63, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[1,3,13],[2,3,60],[2,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (1,3)=13 Succeeded, w=13\",\"Add (2,3)=60 Succeeded, w=73\",\"Add (0,2)=63 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[1,3,13],[2,3,60],[2,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,3)=13,(2,3)=60,(0,2)=63]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Find(2)=2, Find(3)=1, Add (2,3)=60 Succeeded, w=73\",\"Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[1,3,13],[2,3,60],[2,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,3)=13,(2,3)=60,(0,2)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=60 Succeeded, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,72],[0,3,94],[0,4,33],[0,5,50],[1,3,47],[1,4,95],[1,5,30],[1,6,18],[2,3,36],[2,5,64],[2,6,43],[3,4,37],[3,5,90],[3,6,33],[4,5,7],[4,6,37],[5,6,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,3,94],[0,4,33],[0,5,50],[1,3,47],[1,4,95],[1,5,30],[1,6,18],[2,3,36],[2,5,64],[2,6,43],[3,4,37],[3,5,90],[3,6,33],[4,5,7],[4,6,37],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,3,94],[0,4,33],[0,5,50],[1,3,47],[1,4,95],[1,5,30],[1,6,18],[2,3,36],[2,5,64],[2,6,43],[3,4,37],[3,5,90],[3,6,33],[4,5,7],[4,6,37],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (2,3)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,3,94],[0,4,33],[0,5,50],[1,3,47],[1,4,95],[1,5,30],[1,6,18],[2,3,36],[2,5,64],[2,6,43],[3,4,37],[3,5,90],[3,6,33],[4,5,7],[4,6,37],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7, w=7\",\"Add (5,6)=10, w=17\",\"Add (1,6)=18, w=35\",\"Add (0,4)=33, w=68\",\"Add (3,6)=33, w=101\",\"Add (2,3)=36, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,3,94],[0,4,33],[0,5,50],[1,3,47],[1,4,95],[1,5,30],[1,6,18],[2,3,36],[2,5,64],[2,6,43],[3,4,37],[3,5,90],[3,6,33],[4,5,7],[4,6,37],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7 Succeeded, w=7\",\"Add (5,6)=10 Succeeded, w=17\",\"Add (1,6)=18 Succeeded, w=35\",\"Add (1,5)=30 Failed, w=35\",\"Add (0,4)=33 Succeeded, w=68\",\"Add (3,6)=33 Succeeded, w=101\",\"Add (2,3)=36 Succeeded, w=137\",\"Add (3,4)=37 Failed, w=137\",\"Add (4,6)=37 Failed, w=137\",\"Add (2,6)=43 Failed, w=137\",\"Add (1,3)=47 Failed, w=137\",\"Add (0,5)=50 Failed, w=137\",\"Add (2,5)=64 Failed, w=137\",\"Add (0,1)=72 Failed, w=137\",\"Add (3,5)=90 Failed, w=137\",\"Add (0,3)=94 Failed, w=137\",\"Add (1,4)=95 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,3,94],[0,4,33],[0,5,50],[1,3,47],[1,4,95],[1,5,30],[1,6,18],[2,3,36],[2,5,64],[2,6,43],[3,4,37],[3,5,90],[3,6,33],[4,5,7],[4,6,37],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(5,6)=10,(1,6)=18,(1,5)=30,(0,4)=33,(3,6)=33,(2,3)=36,(3,4)=37,(4,6)=37,(2,6)=43,(1,3)=47,(0,5)=50,(2,5)=64,(0,1)=72,(3,5)=90,(0,3)=94,(1,4)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(5)=4, Find(6)=6, Add (5,6)=10 Succeeded, w=17\",\"Find(1)=1, Find(6)=4, Add (1,6)=18 Succeeded, w=35\",\"Find(1)=4, Find(5)=4, Add (1,5)=30 Failed, w=35\",\"Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=68\",\"Find(3)=3, Find(6)=4, Add (3,6)=33 Succeeded, w=101\",\"Find(2)=2, Find(3)=4, Add (2,3)=36 Succeeded, w=137\",\"Find(3)=4, Find(4)=4, Add (3,4)=37 Failed, w=137\",\"Find(4)=4, Find(6)=4, Add (4,6)=37 Failed, w=137\",\"Find(2)=4, Find(6)=4, Add (2,6)=43 Failed, w=137\",\"Find(1)=4, Find(3)=4, Add (1,3)=47 Failed, w=137\",\"Find(0)=4, Find(5)=4, Add (0,5)=50 Failed, w=137\",\"Find(2)=4, Find(5)=4, Add (2,5)=64 Failed, w=137\",\"Find(0)=4, Find(1)=4, Add (0,1)=72 Failed, w=137\",\"Find(3)=4, Find(5)=4, Add (3,5)=90 Failed, w=137\",\"Find(0)=4, Find(3)=4, Add (0,3)=94 Failed, w=137\",\"Find(1)=4, Find(4)=4, Add (1,4)=95 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,3,94],[0,4,33],[0,5,50],[1,3,47],[1,4,95],[1,5,30],[1,6,18],[2,3,36],[2,5,64],[2,6,43],[3,4,37],[3,5,90],[3,6,33],[4,5,7],[4,6,37],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(5,6)=10,(1,6)=18,(1,5)=30,(0,4)=33,(3,6)=33,(2,3)=36,(3,4)=37,(4,6)=37,(2,6)=43,(1,3)=47,(0,5)=50,(2,5)=64,(0,1)=72,(3,5)=90,(0,3)=94,(1,4)=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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=6, Add (5,6)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=30 Failed, w=35\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=68\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=3, Find(6)=4, Add (3,6)=33 Succeeded, w=101\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(3)=4, Add (2,3)=36 Succeeded, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=37 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=37 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=43 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=47 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=50 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=64 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=72 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=90 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=94 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=95 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,69],[0,2,78],[1,3,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,78],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,78],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,78],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=49, w=49\",\"Add (0,1)=69, w=118\",\"Add (0,2)=78, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,78],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=49 Succeeded, w=49\",\"Add (0,1)=69 Succeeded, w=118\",\"Add (0,2)=78 Succeeded, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,78],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=49,(0,1)=69,(0,2)=78]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=49\",\"Find(0)=0, Find(1)=1, Add (0,1)=69 Succeeded, w=118\",\"Find(0)=1, Find(2)=2, Add (0,2)=78 Succeeded, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,78],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=49,(0,1)=69,(0,2)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=69 Succeeded, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=78 Succeeded, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,23],[0,4,36],[0,5,59],[0,6,46],[1,2,24],[1,3,67],[1,4,79],[1,5,88],[1,6,16],[2,3,43],[2,4,39],[2,5,48],[2,6,58],[3,4,66],[3,5,70],[3,6,27],[4,5,25],[4,6,81],[5,6,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,4,36],[0,5,59],[0,6,46],[1,2,24],[1,3,67],[1,4,79],[1,5,88],[1,6,16],[2,3,43],[2,4,39],[2,5,48],[2,6,58],[3,4,66],[3,5,70],[3,6,27],[4,5,25],[4,6,81],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,4,36],[0,5,59],[0,6,46],[1,2,24],[1,3,67],[1,4,79],[1,5,88],[1,6,16],[2,3,43],[2,4,39],[2,5,48],[2,6,58],[3,4,66],[3,5,70],[3,6,27],[4,5,25],[4,6,81],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (0,4)\"],\"Answer\":151}",
"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],[0,4,36],[0,5,59],[0,6,46],[1,2,24],[1,3,67],[1,4,79],[1,5,88],[1,6,16],[2,3,43],[2,4,39],[2,5,48],[2,6,58],[3,4,66],[3,5,70],[3,6,27],[4,5,25],[4,6,81],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=16, w=16\",\"Add (0,1)=23, w=39\",\"Add (1,2)=24, w=63\",\"Add (4,5)=25, w=88\",\"Add (3,6)=27, w=115\",\"Add (0,4)=36, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,4,36],[0,5,59],[0,6,46],[1,2,24],[1,3,67],[1,4,79],[1,5,88],[1,6,16],[2,3,43],[2,4,39],[2,5,48],[2,6,58],[3,4,66],[3,5,70],[3,6,27],[4,5,25],[4,6,81],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=16 Succeeded, w=16\",\"Add (0,1)=23 Succeeded, w=39\",\"Add (1,2)=24 Succeeded, w=63\",\"Add (4,5)=25 Succeeded, w=88\",\"Add (3,6)=27 Succeeded, w=115\",\"Add (0,4)=36 Succeeded, w=151\",\"Add (2,4)=39 Failed, w=151\",\"Add (2,3)=43 Failed, w=151\",\"Add (0,6)=46 Failed, w=151\",\"Add (2,5)=48 Failed, w=151\",\"Add (5,6)=56 Failed, w=151\",\"Add (2,6)=58 Failed, w=151\",\"Add (0,5)=59 Failed, w=151\",\"Add (3,4)=66 Failed, w=151\",\"Add (1,3)=67 Failed, w=151\",\"Add (3,5)=70 Failed, w=151\",\"Add (1,4)=79 Failed, w=151\",\"Add (4,6)=81 Failed, w=151\",\"Add (1,5)=88 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,4,36],[0,5,59],[0,6,46],[1,2,24],[1,3,67],[1,4,79],[1,5,88],[1,6,16],[2,3,43],[2,4,39],[2,5,48],[2,6,58],[3,4,66],[3,5,70],[3,6,27],[4,5,25],[4,6,81],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=16,(0,1)=23,(1,2)=24,(4,5)=25,(3,6)=27,(0,4)=36,(2,4)=39,(2,3)=43,(0,6)=46,(2,5)=48,(5,6)=56,(2,6)=58,(0,5)=59,(3,4)=66,(1,3)=67,(3,5)=70,(1,4)=79,(4,6)=81,(1,5)=88]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=63\",\"Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=88\",\"Find(3)=3, Find(6)=1, Add (3,6)=27 Succeeded, w=115\",\"Find(0)=1, Find(4)=4, Add (0,4)=36 Succeeded, w=151\",\"Find(2)=1, Find(4)=1, Add (2,4)=39 Failed, w=151\",\"Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=151\",\"Find(0)=1, Find(6)=1, Add (0,6)=46 Failed, w=151\",\"Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=151\",\"Find(5)=1, Find(6)=1, Add (5,6)=56 Failed, w=151\",\"Find(2)=1, Find(6)=1, Add (2,6)=58 Failed, w=151\",\"Find(0)=1, Find(5)=1, Add (0,5)=59 Failed, w=151\",\"Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=151\",\"Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=151\",\"Find(3)=1, Find(5)=1, Add (3,5)=70 Failed, w=151\",\"Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=151\",\"Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=151\",\"Find(1)=1, Find(5)=1, Add (1,5)=88 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,4,36],[0,5,59],[0,6,46],[1,2,24],[1,3,67],[1,4,79],[1,5,88],[1,6,16],[2,3,43],[2,4,39],[2,5,48],[2,6,58],[3,4,66],[3,5,70],[3,6,27],[4,5,25],[4,6,81],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=16,(0,1)=23,(1,2)=24,(4,5)=25,(3,6)=27,(0,4)=36,(2,4)=39,(2,3)=43,(0,6)=46,(2,5)=48,(5,6)=56,(2,6)=58,(0,5)=59,(3,4)=66,(1,3)=67,(3,5)=70,(1,4)=79,(4,6)=81,(1,5)=88]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 1}, Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=27 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=1, Find(4)=4, Add (0,4)=36 Succeeded, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=39 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=46 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=56 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=58 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=59 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=70 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=88 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,76],[0,2,87],[0,3,89],[1,2,82],[1,3,27],[2,3,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,87],[0,3,89],[1,2,82],[1,3,27],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,87],[0,3,89],[1,2,82],[1,3,27],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,87],[0,3,89],[1,2,82],[1,3,27],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=27, w=27\",\"Add (2,3)=75, w=102\",\"Add (0,1)=76, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,87],[0,3,89],[1,2,82],[1,3,27],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=27 Succeeded, w=27\",\"Add (2,3)=75 Succeeded, w=102\",\"Add (0,1)=76 Succeeded, w=178\",\"Add (1,2)=82 Failed, w=178\",\"Add (0,2)=87 Failed, w=178\",\"Add (0,3)=89 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,87],[0,3,89],[1,2,82],[1,3,27],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=27,(2,3)=75,(0,1)=76,(1,2)=82,(0,2)=87,(0,3)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=27\",\"Find(2)=2, Find(3)=1, Add (2,3)=75 Succeeded, w=102\",\"Find(0)=0, Find(1)=1, Add (0,1)=76 Succeeded, w=178\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=178\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=178\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,87],[0,3,89],[1,2,82],[1,3,27],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=27,(2,3)=75,(0,1)=76,(1,2)=82,(0,2)=87,(0,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=75 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=76 Succeeded, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,21],[0,3,47],[0,4,77],[1,2,44],[1,4,10],[2,3,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,3,47],[0,4,77],[1,2,44],[1,4,10],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,3,47],[0,4,77],[1,2,44],[1,4,10],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,3,47],[0,4,77],[1,2,44],[1,4,10],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10, w=10\",\"Add (0,1)=21, w=31\",\"Add (1,2)=44, w=75\",\"Add (0,3)=47, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,3,47],[0,4,77],[1,2,44],[1,4,10],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10 Succeeded, w=10\",\"Add (0,1)=21 Succeeded, w=31\",\"Add (1,2)=44 Succeeded, w=75\",\"Add (0,3)=47 Succeeded, w=122\",\"Add (0,4)=77 Failed, w=122\",\"Add (2,3)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,3,47],[0,4,77],[1,2,44],[1,4,10],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(0,1)=21,(1,2)=44,(0,3)=47,(0,4)=77,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=31\",\"Find(1)=1, Find(2)=2, Add (1,2)=44 Succeeded, w=75\",\"Find(0)=1, Find(3)=3, Add (0,3)=47 Succeeded, w=122\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=122\",\"Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,3,47],[0,4,77],[1,2,44],[1,4,10],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(0,1)=21,(1,2)=44,(0,3)=47,(0,4)=77,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=44 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=47 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,99],[0,4,54],[1,3,92],[1,4,36],[2,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,54],[1,3,92],[1,4,36],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,54],[1,3,92],[1,4,36],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,54],[1,3,92],[1,4,36],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=36, w=36\",\"Add (0,4)=54, w=90\",\"Add (2,4)=91, w=181\",\"Add (1,3)=92, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,54],[1,3,92],[1,4,36],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=36 Succeeded, w=36\",\"Add (0,4)=54 Succeeded, w=90\",\"Add (2,4)=91 Succeeded, w=181\",\"Add (1,3)=92 Succeeded, w=273\",\"Add (0,2)=99 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,54],[1,3,92],[1,4,36],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=36,(0,4)=54,(2,4)=91,(1,3)=92,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=36\",\"Find(0)=0, Find(4)=1, Add (0,4)=54 Succeeded, w=90\",\"Find(2)=2, Find(4)=1, Add (2,4)=91 Succeeded, w=181\",\"Find(1)=1, Find(3)=3, Add (1,3)=92 Succeeded, w=273\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,4,54],[1,3,92],[1,4,36],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=36,(0,4)=54,(2,4)=91,(1,3)=92,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=54 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=91 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=92 Succeeded, w=273\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,59],[0,3,52],[0,4,62],[1,2,66],[1,3,51],[1,4,8],[2,3,40],[2,4,65],[3,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,59],[0,3,52],[0,4,62],[1,2,66],[1,3,51],[1,4,8],[2,3,40],[2,4,65],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,59],[0,3,52],[0,4,62],[1,2,66],[1,3,51],[1,4,8],[2,3,40],[2,4,65],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,59],[0,3,52],[0,4,62],[1,2,66],[1,3,51],[1,4,8],[2,3,40],[2,4,65],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (0,1)=18, w=26\",\"Add (2,3)=40, w=66\",\"Add (3,4)=42, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,59],[0,3,52],[0,4,62],[1,2,66],[1,3,51],[1,4,8],[2,3,40],[2,4,65],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (0,1)=18 Succeeded, w=26\",\"Add (2,3)=40 Succeeded, w=66\",\"Add (3,4)=42 Succeeded, w=108\",\"Add (1,3)=51 Failed, w=108\",\"Add (0,3)=52 Failed, w=108\",\"Add (0,2)=59 Failed, w=108\",\"Add (0,4)=62 Failed, w=108\",\"Add (2,4)=65 Failed, w=108\",\"Add (1,2)=66 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,59],[0,3,52],[0,4,62],[1,2,66],[1,3,51],[1,4,8],[2,3,40],[2,4,65],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(0,1)=18,(2,3)=40,(3,4)=42,(1,3)=51,(0,3)=52,(0,2)=59,(0,4)=62,(2,4)=65,(1,2)=66]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=66\",\"Find(3)=2, Find(4)=1, Add (3,4)=42 Succeeded, w=108\",\"Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=108\",\"Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=108\",\"Find(0)=2, Find(2)=2, Add (0,2)=59 Failed, w=108\",\"Find(0)=2, Find(4)=2, Add (0,4)=62 Failed, w=108\",\"Find(2)=2, Find(4)=2, Add (2,4)=65 Failed, w=108\",\"Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,59],[0,3,52],[0,4,62],[1,2,66],[1,3,51],[1,4,8],[2,3,40],[2,4,65],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(0,1)=18,(2,3)=40,(3,4)=42,(1,3)=51,(0,3)=52,(0,2)=59,(0,4)=62,(2,4)=65,(1,2)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=66\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1}, Find(3)=2, Find(4)=1, Add (3,4)=42 Succeeded, w=108\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(2)=2, Add (0,2)=59 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=62 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=65 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,2,95],[0,3,41],[1,2,26],[1,3,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,95],[0,3,41],[1,2,26],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,95],[0,3,41],[1,2,26],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,95],[0,3,41],[1,2,26],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=26, w=26\",\"Add (0,1)=34, w=60\",\"Add (0,3)=41, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,95],[0,3,41],[1,2,26],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=26 Succeeded, w=26\",\"Add (0,1)=34 Succeeded, w=60\",\"Add (0,3)=41 Succeeded, w=101\",\"Add (1,3)=42 Failed, w=101\",\"Add (0,2)=95 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,95],[0,3,41],[1,2,26],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=26,(0,1)=34,(0,3)=41,(1,3)=42,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=26\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=60\",\"Find(0)=1, Find(3)=3, Add (0,3)=41 Succeeded, w=101\",\"Find(1)=1, Find(3)=1, Add (1,3)=42 Failed, w=101\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,95],[0,3,41],[1,2,26],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=26,(0,1)=34,(0,3)=41,(1,3)=42,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=41 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=42 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,83],[1,3,53],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,3,53],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,3,53],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,3,53],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=53, w=53\",\"Add (2,3)=69, w=122\",\"Add (0,2)=83, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,3,53],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=53 Succeeded, w=53\",\"Add (2,3)=69 Succeeded, w=122\",\"Add (0,2)=83 Succeeded, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,3,53],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=53,(2,3)=69,(0,2)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=53\",\"Find(2)=2, Find(3)=1, Add (2,3)=69 Succeeded, w=122\",\"Find(0)=0, Find(2)=1, Add (0,2)=83 Succeeded, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,3,53],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=53,(2,3)=69,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=69 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=83 Succeeded, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,80],[0,2,20],[0,4,71],[0,5,0],[1,2,25],[1,3,39],[2,3,80],[2,4,23],[2,5,1],[3,4,32],[3,5,65],[4,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,20],[0,4,71],[0,5,0],[1,2,25],[1,3,39],[2,3,80],[2,4,23],[2,5,1],[3,4,32],[3,5,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,20],[0,4,71],[0,5,0],[1,2,25],[1,3,39],[2,3,80],[2,4,23],[2,5,1],[3,4,32],[3,5,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,20],[0,4,71],[0,5,0],[1,2,25],[1,3,39],[2,3,80],[2,4,23],[2,5,1],[3,4,32],[3,5,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (2,5)=1, w=1\",\"Add (2,4)=23, w=24\",\"Add (1,2)=25, w=49\",\"Add (3,4)=32, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,20],[0,4,71],[0,5,0],[1,2,25],[1,3,39],[2,3,80],[2,4,23],[2,5,1],[3,4,32],[3,5,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (2,5)=1 Succeeded, w=1\",\"Add (0,2)=20 Failed, w=1\",\"Add (2,4)=23 Succeeded, w=24\",\"Add (1,2)=25 Succeeded, w=49\",\"Add (3,4)=32 Succeeded, w=81\",\"Add (1,3)=39 Failed, w=81\",\"Add (3,5)=65 Failed, w=81\",\"Add (0,4)=71 Failed, w=81\",\"Add (0,1)=80 Failed, w=81\",\"Add (2,3)=80 Failed, w=81\",\"Add (4,5)=96 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,20],[0,4,71],[0,5,0],[1,2,25],[1,3,39],[2,3,80],[2,4,23],[2,5,1],[3,4,32],[3,5,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,5)=1,(0,2)=20,(2,4)=23,(1,2)=25,(3,4)=32,(1,3)=39,(3,5)=65,(0,4)=71,(0,1)=80,(2,3)=80,(4,5)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=0, Add (2,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=0, Add (0,2)=20 Failed, w=1\",\"Find(2)=0, Find(4)=4, Add (2,4)=23 Succeeded, w=24\",\"Find(1)=1, Find(2)=0, Add (1,2)=25 Succeeded, w=49\",\"Find(3)=3, Find(4)=0, Add (3,4)=32 Succeeded, w=81\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=81\",\"Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=81\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=81\",\"Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=81\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=81\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,20],[0,4,71],[0,5,0],[1,2,25],[1,3,39],[2,3,80],[2,4,23],[2,5,1],[3,4,32],[3,5,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,5)=1,(0,2)=20,(2,4)=23,(1,2)=25,(3,4)=32,(1,3)=39,(3,5)=65,(0,4)=71,(0,1)=80,(2,3)=80,(4,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=20 Failed, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=4, Add (2,4)=23 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=32 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,72],[0,2,29],[0,3,65],[0,4,59],[0,5,5],[0,6,26],[1,2,100],[1,3,61],[1,4,45],[1,6,28],[2,3,100],[2,6,10],[3,4,11],[3,5,79],[3,6,47],[4,5,16],[4,6,15],[5,6,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,29],[0,3,65],[0,4,59],[0,5,5],[0,6,26],[1,2,100],[1,3,61],[1,4,45],[1,6,28],[2,3,100],[2,6,10],[3,4,11],[3,5,79],[3,6,47],[4,5,16],[4,6,15],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,29],[0,3,65],[0,4,59],[0,5,5],[0,6,26],[1,2,100],[1,3,61],[1,4,45],[1,6,28],[2,3,100],[2,6,10],[3,4,11],[3,5,79],[3,6,47],[4,5,16],[4,6,15],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (1,6)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,29],[0,3,65],[0,4,59],[0,5,5],[0,6,26],[1,2,100],[1,3,61],[1,4,45],[1,6,28],[2,3,100],[2,6,10],[3,4,11],[3,5,79],[3,6,47],[4,5,16],[4,6,15],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (2,6)=10, w=15\",\"Add (3,4)=11, w=26\",\"Add (4,6)=15, w=41\",\"Add (4,5)=16, w=57\",\"Add (1,6)=28, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,29],[0,3,65],[0,4,59],[0,5,5],[0,6,26],[1,2,100],[1,3,61],[1,4,45],[1,6,28],[2,3,100],[2,6,10],[3,4,11],[3,5,79],[3,6,47],[4,5,16],[4,6,15],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (2,6)=10 Succeeded, w=15\",\"Add (3,4)=11 Succeeded, w=26\",\"Add (4,6)=15 Succeeded, w=41\",\"Add (4,5)=16 Succeeded, w=57\",\"Add (0,6)=26 Failed, w=57\",\"Add (1,6)=28 Succeeded, w=85\",\"Add (0,2)=29 Failed, w=85\",\"Add (1,4)=45 Failed, w=85\",\"Add (3,6)=47 Failed, w=85\",\"Add (0,4)=59 Failed, w=85\",\"Add (1,3)=61 Failed, w=85\",\"Add (0,3)=65 Failed, w=85\",\"Add (5,6)=70 Failed, w=85\",\"Add (0,1)=72 Failed, w=85\",\"Add (3,5)=79 Failed, w=85\",\"Add (1,2)=100 Failed, w=85\",\"Add (2,3)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,29],[0,3,65],[0,4,59],[0,5,5],[0,6,26],[1,2,100],[1,3,61],[1,4,45],[1,6,28],[2,3,100],[2,6,10],[3,4,11],[3,5,79],[3,6,47],[4,5,16],[4,6,15],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(2,6)=10,(3,4)=11,(4,6)=15,(4,5)=16,(0,6)=26,(1,6)=28,(0,2)=29,(1,4)=45,(3,6)=47,(0,4)=59,(1,3)=61,(0,3)=65,(5,6)=70,(0,1)=72,(3,5)=79,(1,2)=100,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=15\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=26\",\"Find(4)=3, Find(6)=2, Add (4,6)=15 Succeeded, w=41\",\"Find(4)=3, Find(5)=0, Add (4,5)=16 Succeeded, w=57\",\"Find(0)=3, Find(6)=3, Add (0,6)=26 Failed, w=57\",\"Find(1)=1, Find(6)=3, Add (1,6)=28 Succeeded, w=85\",\"Find(0)=3, Find(2)=3, Add (0,2)=29 Failed, w=85\",\"Find(1)=3, Find(4)=3, Add (1,4)=45 Failed, w=85\",\"Find(3)=3, Find(6)=3, Add (3,6)=47 Failed, w=85\",\"Find(0)=3, Find(4)=3, Add (0,4)=59 Failed, w=85\",\"Find(1)=3, Find(3)=3, Add (1,3)=61 Failed, w=85\",\"Find(0)=3, Find(3)=3, Add (0,3)=65 Failed, w=85\",\"Find(5)=3, Find(6)=3, Add (5,6)=70 Failed, w=85\",\"Find(0)=3, Find(1)=3, Add (0,1)=72 Failed, w=85\",\"Find(3)=3, Find(5)=3, Add (3,5)=79 Failed, w=85\",\"Find(1)=3, Find(2)=3, Add (1,2)=100 Failed, w=85\",\"Find(2)=3, Find(3)=3, Add (2,3)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,29],[0,3,65],[0,4,59],[0,5,5],[0,6,26],[1,2,100],[1,3,61],[1,4,45],[1,6,28],[2,3,100],[2,6,10],[3,4,11],[3,5,79],[3,6,47],[4,5,16],[4,6,15],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(2,6)=10,(3,4)=11,(4,6)=15,(4,5)=16,(0,6)=26,(1,6)=28,(0,2)=29,(1,4)=45,(3,6)=47,(0,4)=59,(1,3)=61,(0,3)=65,(5,6)=70,(0,1)=72,(3,5)=79,(1,2)=100,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 2}, Find(4)=3, Find(6)=2, Add (4,6)=15 Succeeded, w=41\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 2}, Find(4)=3, Find(5)=0, Add (4,5)=16 Succeeded, w=57\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=26 Failed, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=28 Succeeded, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=29 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=45 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=47 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=59 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=61 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=65 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=70 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=72 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=79 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=100 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,85],[0,2,18],[0,3,22],[0,4,54],[0,5,53],[1,2,17],[1,3,52],[1,5,94],[2,4,95],[2,5,79],[3,4,27],[3,5,74],[4,5,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,18],[0,3,22],[0,4,54],[0,5,53],[1,2,17],[1,3,52],[1,5,94],[2,4,95],[2,5,79],[3,4,27],[3,5,74],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,18],[0,3,22],[0,4,54],[0,5,53],[1,2,17],[1,3,52],[1,5,94],[2,4,95],[2,5,79],[3,4,27],[3,5,74],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (3,4)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,18],[0,3,22],[0,4,54],[0,5,53],[1,2,17],[1,3,52],[1,5,94],[2,4,95],[2,5,79],[3,4,27],[3,5,74],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=17, w=17\",\"Add (0,2)=18, w=35\",\"Add (0,3)=22, w=57\",\"Add (4,5)=23, w=80\",\"Add (3,4)=27, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,18],[0,3,22],[0,4,54],[0,5,53],[1,2,17],[1,3,52],[1,5,94],[2,4,95],[2,5,79],[3,4,27],[3,5,74],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=17 Succeeded, w=17\",\"Add (0,2)=18 Succeeded, w=35\",\"Add (0,3)=22 Succeeded, w=57\",\"Add (4,5)=23 Succeeded, w=80\",\"Add (3,4)=27 Succeeded, w=107\",\"Add (1,3)=52 Failed, w=107\",\"Add (0,5)=53 Failed, w=107\",\"Add (0,4)=54 Failed, w=107\",\"Add (3,5)=74 Failed, w=107\",\"Add (2,5)=79 Failed, w=107\",\"Add (0,1)=85 Failed, w=107\",\"Add (1,5)=94 Failed, w=107\",\"Add (2,4)=95 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,18],[0,3,22],[0,4,54],[0,5,53],[1,2,17],[1,3,52],[1,5,94],[2,4,95],[2,5,79],[3,4,27],[3,5,74],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=17,(0,2)=18,(0,3)=22,(4,5)=23,(3,4)=27,(1,3)=52,(0,5)=53,(0,4)=54,(3,5)=74,(2,5)=79,(0,1)=85,(1,5)=94,(2,4)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=17\",\"Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=35\",\"Find(0)=1, Find(3)=3, Add (0,3)=22 Succeeded, w=57\",\"Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=80\",\"Find(3)=1, Find(4)=4, Add (3,4)=27 Succeeded, w=107\",\"Find(1)=1, Find(3)=1, Add (1,3)=52 Failed, w=107\",\"Find(0)=1, Find(5)=1, Add (0,5)=53 Failed, w=107\",\"Find(0)=1, Find(4)=1, Add (0,4)=54 Failed, w=107\",\"Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=107\",\"Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=107\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=107\",\"Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=107\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,18],[0,3,22],[0,4,54],[0,5,53],[1,2,17],[1,3,52],[1,5,94],[2,4,95],[2,5,79],[3,4,27],[3,5,74],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=17,(0,2)=18,(0,3)=22,(4,5)=23,(3,4)=27,(1,3)=52,(0,5)=53,(0,4)=54,(3,5)=74,(2,5)=79,(0,1)=85,(1,5)=94,(2,4)=95]\",\"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: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(0)=1, Find(3)=3, Add (0,3)=22 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(3)=1, Find(4)=4, Add (3,4)=27 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(3)=1, Add (1,3)=52 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=53 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=54 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,72],[0,3,29],[0,4,53],[1,3,84],[2,4,86],[3,4,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,3,29],[0,4,53],[1,3,84],[2,4,86],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,3,29],[0,4,53],[1,3,84],[2,4,86],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,3,29],[0,4,53],[1,3,84],[2,4,86],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=29, w=29\",\"Add (3,4)=44, w=73\",\"Add (0,2)=72, w=145\",\"Add (1,3)=84, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,3,29],[0,4,53],[1,3,84],[2,4,86],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=29 Succeeded, w=29\",\"Add (3,4)=44 Succeeded, w=73\",\"Add (0,4)=53 Failed, w=73\",\"Add (0,2)=72 Succeeded, w=145\",\"Add (1,3)=84 Succeeded, w=229\",\"Add (2,4)=86 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,3,29],[0,4,53],[1,3,84],[2,4,86],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=29,(3,4)=44,(0,4)=53,(0,2)=72,(1,3)=84,(2,4)=86]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=29\",\"Find(3)=0, Find(4)=4, Add (3,4)=44 Succeeded, w=73\",\"Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=73\",\"Find(0)=0, Find(2)=2, Add (0,2)=72 Succeeded, w=145\",\"Find(1)=1, Find(3)=0, Add (1,3)=84 Succeeded, w=229\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,3,29],[0,4,53],[1,3,84],[2,4,86],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=29,(3,4)=44,(0,4)=53,(0,2)=72,(1,3)=84,(2,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=44 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=72 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=84 Succeeded, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,2,46],[0,4,35],[1,2,52],[1,3,22],[1,4,92],[2,3,18],[2,5,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,46],[0,4,35],[1,2,52],[1,3,22],[1,4,92],[2,3,18],[2,5,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,46],[0,4,35],[1,2,52],[1,3,22],[1,4,92],[2,3,18],[2,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,46],[0,4,35],[1,2,52],[1,3,22],[1,4,92],[2,3,18],[2,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=14, w=14\",\"Add (2,3)=18, w=32\",\"Add (1,3)=22, w=54\",\"Add (0,4)=35, w=89\",\"Add (0,2)=46, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,46],[0,4,35],[1,2,52],[1,3,22],[1,4,92],[2,3,18],[2,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=14 Succeeded, w=14\",\"Add (2,3)=18 Succeeded, w=32\",\"Add (1,3)=22 Succeeded, w=54\",\"Add (0,4)=35 Succeeded, w=89\",\"Add (0,2)=46 Succeeded, w=135\",\"Add (1,2)=52 Failed, w=135\",\"Add (1,4)=92 Failed, w=135\",\"Add (0,1)=95 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,46],[0,4,35],[1,2,52],[1,3,22],[1,4,92],[2,3,18],[2,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=14,(2,3)=18,(1,3)=22,(0,4)=35,(0,2)=46,(1,2)=52,(1,4)=92,(0,1)=95]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=32\",\"Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=54\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=89\",\"Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=135\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=135\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,46],[0,4,35],[1,2,52],[1,3,22],[1,4,92],[2,3,18],[2,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=14,(2,3)=18,(1,3)=22,(0,4)=35,(0,2)=46,(1,2)=52,(1,4)=92,(0,1)=95]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=54\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=89\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,8],[0,2,5],[0,3,21],[1,3,71],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,5],[0,3,21],[1,3,71],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,5],[0,3,21],[1,3,71],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,5],[0,3,21],[1,3,71],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (0,1)=8, w=13\",\"Add (0,3)=21, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,5],[0,3,21],[1,3,71],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (0,1)=8 Succeeded, w=13\",\"Add (0,3)=21 Succeeded, w=34\",\"Add (2,3)=21 Failed, w=34\",\"Add (1,3)=71 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,5],[0,3,21],[1,3,71],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,1)=8,(0,3)=21,(2,3)=21,(1,3)=71]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=34\",\"Find(2)=0, Find(3)=0, Add (2,3)=21 Failed, w=34\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,5],[0,3,21],[1,3,71],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,1)=8,(0,3)=21,(2,3)=21,(1,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=21 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,2,19],[0,3,44],[1,3,47],[2,3,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,19],[0,3,44],[1,3,47],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,19],[0,3,44],[1,3,47],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,19],[0,3,44],[1,3,47],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (0,3)=44, w=63\",\"Add (1,3)=47, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,19],[0,3,44],[1,3,47],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (0,3)=44 Succeeded, w=63\",\"Add (1,3)=47 Succeeded, w=110\",\"Add (0,1)=91 Failed, w=110\",\"Add (2,3)=94 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,19],[0,3,44],[1,3,47],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,3)=44,(1,3)=47,(0,1)=91,(2,3)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=63\",\"Find(1)=1, Find(3)=0, Add (1,3)=47 Succeeded, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,19],[0,3,44],[1,3,47],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,3)=44,(1,3)=47,(0,1)=91,(2,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=47 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,52],[0,3,14],[1,2,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,52],[0,3,14],[1,2,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,52],[0,3,14],[1,2,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,52],[0,3,14],[1,2,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (0,2)=52, w=66\",\"Add (1,2)=85, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,52],[0,3,14],[1,2,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (0,2)=52 Succeeded, w=66\",\"Add (1,2)=85 Succeeded, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,52],[0,3,14],[1,2,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(0,2)=52,(1,2)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=66\",\"Find(1)=1, Find(2)=0, Add (1,2)=85 Succeeded, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,52],[0,3,14],[1,2,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(0,2)=52,(1,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=85 Succeeded, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,36],[0,3,10],[0,4,26],[0,5,66],[1,3,64],[1,4,12],[1,5,52],[2,3,37],[2,5,59],[3,4,41],[4,5,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,36],[0,3,10],[0,4,26],[0,5,66],[1,3,64],[1,4,12],[1,5,52],[2,3,37],[2,5,59],[3,4,41],[4,5,86]]}",
"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],\"edges\":[[0,1,38],[0,2,36],[0,3,10],[0,4,26],[0,5,66],[1,3,64],[1,4,12],[1,5,52],[2,3,37],[2,5,59],[3,4,41],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,36],[0,3,10],[0,4,26],[0,5,66],[1,3,64],[1,4,12],[1,5,52],[2,3,37],[2,5,59],[3,4,41],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,4)=12, w=22\",\"Add (0,4)=26, w=48\",\"Add (0,2)=36, w=84\",\"Add (1,5)=52, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,36],[0,3,10],[0,4,26],[0,5,66],[1,3,64],[1,4,12],[1,5,52],[2,3,37],[2,5,59],[3,4,41],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,4)=12 Succeeded, w=22\",\"Add (0,4)=26 Succeeded, w=48\",\"Add (0,2)=36 Succeeded, w=84\",\"Add (2,3)=37 Failed, w=84\",\"Add (0,1)=38 Failed, w=84\",\"Add (3,4)=41 Failed, w=84\",\"Add (1,5)=52 Succeeded, w=136\",\"Add (2,5)=59 Failed, w=136\",\"Add (1,3)=64 Failed, w=136\",\"Add (0,5)=66 Failed, w=136\",\"Add (4,5)=86 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],\"edges\":[[0,1,38],[0,2,36],[0,3,10],[0,4,26],[0,5,66],[1,3,64],[1,4,12],[1,5,52],[2,3,37],[2,5,59],[3,4,41],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,4)=12,(0,4)=26,(0,2)=36,(2,3)=37,(0,1)=38,(3,4)=41,(1,5)=52,(2,5)=59,(1,3)=64,(0,5)=66,(4,5)=86]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=22\",\"Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=48\",\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=84\",\"Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=84\",\"Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=84\",\"Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=84\",\"Find(1)=0, Find(5)=5, Add (1,5)=52 Succeeded, w=136\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=136\",\"Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=136\",\"Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=136\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 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],\"edges\":[[0,1,38],[0,2,36],[0,3,10],[0,4,26],[0,5,66],[1,3,64],[1,4,12],[1,5,52],[2,3,37],[2,5,59],[3,4,41],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,4)=12,(0,4)=26,(0,2)=36,(2,3)=37,(0,1)=38,(3,4)=41,(1,5)=52,(2,5)=59,(1,3)=64,(0,5)=66,(4,5)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=52 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,2,76],[0,3,21],[0,4,4],[0,5,41],[0,7,71],[1,4,21],[1,7,80],[2,3,28],[2,4,86],[2,5,76],[2,6,63],[2,7,15],[3,6,35],[4,6,99],[4,7,98],[5,6,66],[5,7,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,76],[0,3,21],[0,4,4],[0,5,41],[0,7,71],[1,4,21],[1,7,80],[2,3,28],[2,4,86],[2,5,76],[2,6,63],[2,7,15],[3,6,35],[4,6,99],[4,7,98],[5,6,66],[5,7,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,76],[0,3,21],[0,4,4],[0,5,41],[0,7,71],[1,4,21],[1,7,80],[2,3,28],[2,4,86],[2,5,76],[2,6,63],[2,7,15],[3,6,35],[4,6,99],[4,7,98],[5,6,66],[5,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,7)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (3,6)\",\"Add (0,5)\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,76],[0,3,21],[0,4,4],[0,5,41],[0,7,71],[1,4,21],[1,7,80],[2,3,28],[2,4,86],[2,5,76],[2,6,63],[2,7,15],[3,6,35],[4,6,99],[4,7,98],[5,6,66],[5,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (2,7)=15, w=19\",\"Add (0,3)=21, w=40\",\"Add (1,4)=21, w=61\",\"Add (2,3)=28, w=89\",\"Add (3,6)=35, w=124\",\"Add (0,5)=41, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,76],[0,3,21],[0,4,4],[0,5,41],[0,7,71],[1,4,21],[1,7,80],[2,3,28],[2,4,86],[2,5,76],[2,6,63],[2,7,15],[3,6,35],[4,6,99],[4,7,98],[5,6,66],[5,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (2,7)=15 Succeeded, w=19\",\"Add (0,3)=21 Succeeded, w=40\",\"Add (1,4)=21 Succeeded, w=61\",\"Add (2,3)=28 Succeeded, w=89\",\"Add (3,6)=35 Succeeded, w=124\",\"Add (0,5)=41 Succeeded, w=165\",\"Add (2,6)=63 Failed, w=165\",\"Add (5,6)=66 Failed, w=165\",\"Add (5,7)=70 Failed, w=165\",\"Add (0,7)=71 Failed, w=165\",\"Add (0,1)=76 Failed, w=165\",\"Add (0,2)=76 Failed, w=165\",\"Add (2,5)=76 Failed, w=165\",\"Add (1,7)=80 Failed, w=165\",\"Add (2,4)=86 Failed, w=165\",\"Add (4,7)=98 Failed, w=165\",\"Add (4,6)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,76],[0,3,21],[0,4,4],[0,5,41],[0,7,71],[1,4,21],[1,7,80],[2,3,28],[2,4,86],[2,5,76],[2,6,63],[2,7,15],[3,6,35],[4,6,99],[4,7,98],[5,6,66],[5,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,7)=15,(0,3)=21,(1,4)=21,(2,3)=28,(3,6)=35,(0,5)=41,(2,6)=63,(5,6)=66,(5,7)=70,(0,7)=71,(0,1)=76,(0,2)=76,(2,5)=76,(1,7)=80,(2,4)=86,(4,7)=98,(4,6)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=40\",\"Find(1)=1, Find(4)=0, Add (1,4)=21 Succeeded, w=61\",\"Find(2)=2, Find(3)=0, Add (2,3)=28 Succeeded, w=89\",\"Find(3)=2, Find(6)=6, Add (3,6)=35 Succeeded, w=124\",\"Find(0)=2, Find(5)=5, Add (0,5)=41 Succeeded, w=165\",\"Find(2)=2, Find(6)=2, Add (2,6)=63 Failed, w=165\",\"Find(5)=2, Find(6)=2, Add (5,6)=66 Failed, w=165\",\"Find(5)=2, Find(7)=2, Add (5,7)=70 Failed, w=165\",\"Find(0)=2, Find(7)=2, Add (0,7)=71 Failed, w=165\",\"Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=165\",\"Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=165\",\"Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=165\",\"Find(1)=2, Find(7)=2, Add (1,7)=80 Failed, w=165\",\"Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=165\",\"Find(4)=2, Find(7)=2, Add (4,7)=98 Failed, w=165\",\"Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,76],[0,3,21],[0,4,4],[0,5,41],[0,7,71],[1,4,21],[1,7,80],[2,3,28],[2,4,86],[2,5,76],[2,6,63],[2,7,15],[3,6,35],[4,6,99],[4,7,98],[5,6,66],[5,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,7)=15,(0,3)=21,(1,4)=21,(2,3)=28,(3,6)=35,(0,5)=41,(2,6)=63,(5,6)=66,(5,7)=70,(0,7)=71,(0,1)=76,(0,2)=76,(2,5)=76,(1,7)=80,(2,4)=86,(4,7)=98,(4,6)=99]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(4)=0, Add (1,4)=21 Succeeded, w=61\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(3)=0, Add (2,3)=28 Succeeded, w=89\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2, 7: 2}, Find(3)=2, Find(6)=6, Add (3,6)=35 Succeeded, w=124\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=5, Add (0,5)=41 Succeeded, w=165\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=63 Failed, w=165\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=66 Failed, w=165\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=70 Failed, w=165\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=71 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=80 Failed, w=165\",\"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)=86 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=98 Failed, w=165\",\"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)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,88],[0,2,98],[0,3,81],[0,6,92],[1,3,15],[1,4,38],[1,7,93],[2,4,89],[2,7,80],[3,4,26],[3,5,79],[4,5,54],[4,6,36],[5,6,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,98],[0,3,81],[0,6,92],[1,3,15],[1,4,38],[1,7,93],[2,4,89],[2,7,80],[3,4,26],[3,5,79],[4,5,54],[4,6,36],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":366}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,98],[0,3,81],[0,6,92],[1,3,15],[1,4,38],[1,7,93],[2,4,89],[2,7,80],[3,4,26],[3,5,79],[4,5,54],[4,6,36],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (2,7)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":366}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,98],[0,3,81],[0,6,92],[1,3,15],[1,4,38],[1,7,93],[2,4,89],[2,7,80],[3,4,26],[3,5,79],[4,5,54],[4,6,36],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15, w=15\",\"Add (3,4)=26, w=41\",\"Add (4,6)=36, w=77\",\"Add (5,6)=39, w=116\",\"Add (2,7)=80, w=196\",\"Add (0,3)=81, w=277\",\"Add (2,4)=89, w=366\"],\"Answer\":366}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,98],[0,3,81],[0,6,92],[1,3,15],[1,4,38],[1,7,93],[2,4,89],[2,7,80],[3,4,26],[3,5,79],[4,5,54],[4,6,36],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15 Succeeded, w=15\",\"Add (3,4)=26 Succeeded, w=41\",\"Add (4,6)=36 Succeeded, w=77\",\"Add (1,4)=38 Failed, w=77\",\"Add (5,6)=39 Succeeded, w=116\",\"Add (4,5)=54 Failed, w=116\",\"Add (3,5)=79 Failed, w=116\",\"Add (2,7)=80 Succeeded, w=196\",\"Add (0,3)=81 Succeeded, w=277\",\"Add (0,1)=88 Failed, w=277\",\"Add (2,4)=89 Succeeded, w=366\",\"Add (0,6)=92 Failed, w=366\",\"Add (1,7)=93 Failed, w=366\",\"Add (0,2)=98 Failed, w=366\"],\"Answer\":366}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,98],[0,3,81],[0,6,92],[1,3,15],[1,4,38],[1,7,93],[2,4,89],[2,7,80],[3,4,26],[3,5,79],[4,5,54],[4,6,36],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(3,4)=26,(4,6)=36,(1,4)=38,(5,6)=39,(4,5)=54,(3,5)=79,(2,7)=80,(0,3)=81,(0,1)=88,(2,4)=89,(0,6)=92,(1,7)=93,(0,2)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(3)=1, Find(4)=4, Add (3,4)=26 Succeeded, w=41\",\"Find(4)=1, Find(6)=6, Add (4,6)=36 Succeeded, w=77\",\"Find(1)=1, Find(4)=1, Add (1,4)=38 Failed, w=77\",\"Find(5)=5, Find(6)=1, Add (5,6)=39 Succeeded, w=116\",\"Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=116\",\"Find(3)=1, Find(5)=1, Add (3,5)=79 Failed, w=116\",\"Find(2)=2, Find(7)=7, Add (2,7)=80 Succeeded, w=196\",\"Find(0)=0, Find(3)=1, Add (0,3)=81 Succeeded, w=277\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=277\",\"Find(2)=2, Find(4)=1, Add (2,4)=89 Succeeded, w=366\",\"Find(0)=2, Find(6)=2, Add (0,6)=92 Failed, w=366\",\"Find(1)=2, Find(7)=2, Add (1,7)=93 Failed, w=366\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=366\"],\"Answer\":366}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,98],[0,3,81],[0,6,92],[1,3,15],[1,4,38],[1,7,93],[2,4,89],[2,7,80],[3,4,26],[3,5,79],[4,5,54],[4,6,36],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(3,4)=26,(4,6)=36,(1,4)=38,(5,6)=39,(4,5)=54,(3,5)=79,(2,7)=80,(0,3)=81,(0,1)=88,(2,4)=89,(0,6)=92,(1,7)=93,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(3)=1, Find(4)=4, Add (3,4)=26 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=1, Find(6)=6, Add (4,6)=36 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(4)=1, Add (1,4)=38 Failed, w=77\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(5)=5, Find(6)=1, Add (5,6)=39 Succeeded, w=116\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=116\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(5)=1, Add (3,5)=79 Failed, w=116\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=80 Succeeded, w=196\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=0, Find(3)=1, Add (0,3)=81 Succeeded, w=277\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=277\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=2, Find(4)=1, Add (2,4)=89 Succeeded, w=366\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=92 Failed, w=366\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=93 Failed, w=366\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=366\"],\"Answer\":366}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,3,94],[0,7,50],[1,7,48],[2,3,34],[2,5,83],[2,6,76],[2,7,9],[3,5,61],[3,6,67],[3,7,59],[4,5,52],[4,7,80],[5,6,43],[6,7,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,94],[0,7,50],[1,7,48],[2,3,34],[2,5,83],[2,6,76],[2,7,9],[3,5,61],[3,6,67],[3,7,59],[4,5,52],[4,7,80],[5,6,43],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,94],[0,7,50],[1,7,48],[2,3,34],[2,5,83],[2,6,76],[2,7,9],[3,5,61],[3,6,67],[3,7,59],[4,5,52],[4,7,80],[5,6,43],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (1,7)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,94],[0,7,50],[1,7,48],[2,3,34],[2,5,83],[2,6,76],[2,7,9],[3,5,61],[3,6,67],[3,7,59],[4,5,52],[4,7,80],[5,6,43],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=9, w=9\",\"Add (2,3)=34, w=43\",\"Add (5,6)=43, w=86\",\"Add (1,7)=48, w=134\",\"Add (0,7)=50, w=184\",\"Add (4,5)=52, w=236\",\"Add (3,5)=61, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,94],[0,7,50],[1,7,48],[2,3,34],[2,5,83],[2,6,76],[2,7,9],[3,5,61],[3,6,67],[3,7,59],[4,5,52],[4,7,80],[5,6,43],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=9 Succeeded, w=9\",\"Add (2,3)=34 Succeeded, w=43\",\"Add (5,6)=43 Succeeded, w=86\",\"Add (1,7)=48 Succeeded, w=134\",\"Add (0,7)=50 Succeeded, w=184\",\"Add (4,5)=52 Succeeded, w=236\",\"Add (3,7)=59 Failed, w=236\",\"Add (3,5)=61 Succeeded, w=297\",\"Add (3,6)=67 Failed, w=297\",\"Add (2,6)=76 Failed, w=297\",\"Add (4,7)=80 Failed, w=297\",\"Add (2,5)=83 Failed, w=297\",\"Add (6,7)=86 Failed, w=297\",\"Add (0,1)=92 Failed, w=297\",\"Add (0,3)=94 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,94],[0,7,50],[1,7,48],[2,3,34],[2,5,83],[2,6,76],[2,7,9],[3,5,61],[3,6,67],[3,7,59],[4,5,52],[4,7,80],[5,6,43],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=9,(2,3)=34,(5,6)=43,(1,7)=48,(0,7)=50,(4,5)=52,(3,7)=59,(3,5)=61,(3,6)=67,(2,6)=76,(4,7)=80,(2,5)=83,(6,7)=86,(0,1)=92,(0,3)=94]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=43\",\"Find(5)=5, Find(6)=6, Add (5,6)=43 Succeeded, w=86\",\"Find(1)=1, Find(7)=2, Add (1,7)=48 Succeeded, w=134\",\"Find(0)=0, Find(7)=2, Add (0,7)=50 Succeeded, w=184\",\"Find(4)=4, Find(5)=5, Add (4,5)=52 Succeeded, w=236\",\"Find(3)=2, Find(7)=2, Add (3,7)=59 Failed, w=236\",\"Find(3)=2, Find(5)=5, Add (3,5)=61 Succeeded, w=297\",\"Find(3)=2, Find(6)=2, Add (3,6)=67 Failed, w=297\",\"Find(2)=2, Find(6)=2, Add (2,6)=76 Failed, w=297\",\"Find(4)=2, Find(7)=2, Add (4,7)=80 Failed, w=297\",\"Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=297\",\"Find(6)=2, Find(7)=2, Add (6,7)=86 Failed, w=297\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=297\",\"Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,94],[0,7,50],[1,7,48],[2,3,34],[2,5,83],[2,6,76],[2,7,9],[3,5,61],[3,6,67],[3,7,59],[4,5,52],[4,7,80],[5,6,43],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=9,(2,3)=34,(5,6)=43,(1,7)=48,(0,7)=50,(4,5)=52,(3,7)=59,(3,5)=61,(3,6)=67,(2,6)=76,(4,7)=80,(2,5)=83,(6,7)=86,(0,1)=92,(0,3)=94]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=43 Succeeded, w=86\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=48 Succeeded, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=50 Succeeded, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 2}, Find(4)=4, Find(5)=5, Add (4,5)=52 Succeeded, w=236\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=59 Failed, w=236\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 5, 7: 2}, Find(3)=2, Find(5)=5, Add (3,5)=61 Succeeded, w=297\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=67 Failed, w=297\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=76 Failed, w=297\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=80 Failed, w=297\",\"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)=83 Failed, w=297\",\"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)=86 Failed, w=297\",\"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)=92 Failed, w=297\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,2,41],[0,3,3],[0,4,63],[0,5,33],[0,6,30],[0,7,93],[1,2,49],[1,3,14],[1,4,65],[1,5,52],[1,6,50],[1,7,69],[2,3,61],[2,4,31],[2,5,73],[2,6,62],[2,7,25],[3,4,51],[3,5,88],[3,6,40],[4,5,86],[4,6,66],[4,7,9],[5,6,31],[5,7,31],[6,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,41],[0,3,3],[0,4,63],[0,5,33],[0,6,30],[0,7,93],[1,2,49],[1,3,14],[1,4,65],[1,5,52],[1,6,50],[1,7,69],[2,3,61],[2,4,31],[2,5,73],[2,6,62],[2,7,25],[3,4,51],[3,5,88],[3,6,40],[4,5,86],[4,6,66],[4,7,9],[5,6,31],[5,7,31],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,41],[0,3,3],[0,4,63],[0,5,33],[0,6,30],[0,7,93],[1,2,49],[1,3,14],[1,4,65],[1,5,52],[1,6,50],[1,7,69],[2,3,61],[2,4,31],[2,5,73],[2,6,62],[2,7,25],[3,4,51],[3,5,88],[3,6,40],[4,5,86],[4,6,66],[4,7,9],[5,6,31],[5,7,31],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (6,7)\",\"Add (4,7)\",\"Add (1,3)\",\"Add (2,7)\",\"Add (0,6)\",\"Add (5,6)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,41],[0,3,3],[0,4,63],[0,5,33],[0,6,30],[0,7,93],[1,2,49],[1,3,14],[1,4,65],[1,5,52],[1,6,50],[1,7,69],[2,3,61],[2,4,31],[2,5,73],[2,6,62],[2,7,25],[3,4,51],[3,5,88],[3,6,40],[4,5,86],[4,6,66],[4,7,9],[5,6,31],[5,7,31],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (6,7)=4, w=7\",\"Add (4,7)=9, w=16\",\"Add (1,3)=14, w=30\",\"Add (2,7)=25, w=55\",\"Add (0,6)=30, w=85\",\"Add (5,6)=31, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,41],[0,3,3],[0,4,63],[0,5,33],[0,6,30],[0,7,93],[1,2,49],[1,3,14],[1,4,65],[1,5,52],[1,6,50],[1,7,69],[2,3,61],[2,4,31],[2,5,73],[2,6,62],[2,7,25],[3,4,51],[3,5,88],[3,6,40],[4,5,86],[4,6,66],[4,7,9],[5,6,31],[5,7,31],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (6,7)=4 Succeeded, w=7\",\"Add (4,7)=9 Succeeded, w=16\",\"Add (1,3)=14 Succeeded, w=30\",\"Add (2,7)=25 Succeeded, w=55\",\"Add (0,6)=30 Succeeded, w=85\",\"Add (2,4)=31 Failed, w=85\",\"Add (5,6)=31 Succeeded, w=116\",\"Add (5,7)=31 Failed, w=116\",\"Add (0,5)=33 Failed, w=116\",\"Add (3,6)=40 Failed, w=116\",\"Add (0,2)=41 Failed, w=116\",\"Add (1,2)=49 Failed, w=116\",\"Add (1,6)=50 Failed, w=116\",\"Add (3,4)=51 Failed, w=116\",\"Add (1,5)=52 Failed, w=116\",\"Add (0,1)=58 Failed, w=116\",\"Add (2,3)=61 Failed, w=116\",\"Add (2,6)=62 Failed, w=116\",\"Add (0,4)=63 Failed, w=116\",\"Add (1,4)=65 Failed, w=116\",\"Add (4,6)=66 Failed, w=116\",\"Add (1,7)=69 Failed, w=116\",\"Add (2,5)=73 Failed, w=116\",\"Add (4,5)=86 Failed, w=116\",\"Add (3,5)=88 Failed, w=116\",\"Add (0,7)=93 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,41],[0,3,3],[0,4,63],[0,5,33],[0,6,30],[0,7,93],[1,2,49],[1,3,14],[1,4,65],[1,5,52],[1,6,50],[1,7,69],[2,3,61],[2,4,31],[2,5,73],[2,6,62],[2,7,25],[3,4,51],[3,5,88],[3,6,40],[4,5,86],[4,6,66],[4,7,9],[5,6,31],[5,7,31],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(6,7)=4,(4,7)=9,(1,3)=14,(2,7)=25,(0,6)=30,(2,4)=31,(5,6)=31,(5,7)=31,(0,5)=33,(3,6)=40,(0,2)=41,(1,2)=49,(1,6)=50,(3,4)=51,(1,5)=52,(0,1)=58,(2,3)=61,(2,6)=62,(0,4)=63,(1,4)=65,(4,6)=66,(1,7)=69,(2,5)=73,(4,5)=86,(3,5)=88,(0,7)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=7\",\"Find(4)=4, Find(7)=6, Add (4,7)=9 Succeeded, w=16\",\"Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=30\",\"Find(2)=2, Find(7)=6, Add (2,7)=25 Succeeded, w=55\",\"Find(0)=0, Find(6)=6, Add (0,6)=30 Succeeded, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=31 Failed, w=85\",\"Find(5)=5, Find(6)=0, Add (5,6)=31 Succeeded, w=116\",\"Find(5)=0, Find(7)=0, Add (5,7)=31 Failed, w=116\",\"Find(0)=0, Find(5)=0, Add (0,5)=33 Failed, w=116\",\"Find(3)=0, Find(6)=0, Add (3,6)=40 Failed, w=116\",\"Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=116\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=116\",\"Find(1)=0, Find(6)=0, Add (1,6)=50 Failed, w=116\",\"Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=116\",\"Find(1)=0, Find(5)=0, Add (1,5)=52 Failed, w=116\",\"Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=116\",\"Find(2)=0, Find(3)=0, Add (2,3)=61 Failed, w=116\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=116\",\"Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=116\",\"Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=116\",\"Find(4)=0, Find(6)=0, Add (4,6)=66 Failed, w=116\",\"Find(1)=0, Find(7)=0, Add (1,7)=69 Failed, w=116\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=116\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=116\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=116\",\"Find(0)=0, Find(7)=0, Add (0,7)=93 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,41],[0,3,3],[0,4,63],[0,5,33],[0,6,30],[0,7,93],[1,2,49],[1,3,14],[1,4,65],[1,5,52],[1,6,50],[1,7,69],[2,3,61],[2,4,31],[2,5,73],[2,6,62],[2,7,25],[3,4,51],[3,5,88],[3,6,40],[4,5,86],[4,6,66],[4,7,9],[5,6,31],[5,7,31],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(6,7)=4,(4,7)=9,(1,3)=14,(2,7)=25,(0,6)=30,(2,4)=31,(5,6)=31,(5,7)=31,(0,5)=33,(3,6)=40,(0,2)=41,(1,2)=49,(1,6)=50,(3,4)=51,(1,5)=52,(0,1)=58,(2,3)=61,(2,6)=62,(0,4)=63,(1,4)=65,(4,6)=66,(1,7)=69,(2,5)=73,(4,5)=86,(3,5)=88,(0,7)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 6, 5: 5, 6: 6, 7: 6}, Find(4)=4, Find(7)=6, Add (4,7)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 6, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 6, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=25 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 6, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=30 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 6}, Find(2)=0, Find(4)=0, Add (2,4)=31 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(5)=5, Find(6)=0, Add (5,6)=31 Succeeded, w=116\",\"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)=31 Failed, w=116\",\"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)=33 Failed, w=116\",\"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)=40 Failed, w=116\",\"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)=41 Failed, w=116\",\"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)=49 Failed, w=116\",\"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)=50 Failed, w=116\",\"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)=51 Failed, w=116\",\"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)=52 Failed, w=116\",\"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)=58 Failed, w=116\",\"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)=61 Failed, w=116\",\"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=116\",\"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)=63 Failed, w=116\",\"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)=65 Failed, w=116\",\"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)=66 Failed, w=116\",\"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)=69 Failed, w=116\",\"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)=73 Failed, w=116\",\"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)=86 Failed, w=116\",\"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)=88 Failed, w=116\",\"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)=93 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,39],[0,2,56],[0,3,75],[0,4,8],[0,5,77],[1,4,5],[2,3,70],[2,4,71],[2,5,10],[3,4,53],[3,5,18],[4,5,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,56],[0,3,75],[0,4,8],[0,5,77],[1,4,5],[2,3,70],[2,4,71],[2,5,10],[3,4,53],[3,5,18],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,56],[0,3,75],[0,4,8],[0,5,77],[1,4,5],[2,3,70],[2,4,71],[2,5,10],[3,4,53],[3,5,18],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (3,4)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,56],[0,3,75],[0,4,8],[0,5,77],[1,4,5],[2,3,70],[2,4,71],[2,5,10],[3,4,53],[3,5,18],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (0,4)=8, w=13\",\"Add (2,5)=10, w=23\",\"Add (3,5)=18, w=41\",\"Add (3,4)=53, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,56],[0,3,75],[0,4,8],[0,5,77],[1,4,5],[2,3,70],[2,4,71],[2,5,10],[3,4,53],[3,5,18],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (0,4)=8 Succeeded, w=13\",\"Add (2,5)=10 Succeeded, w=23\",\"Add (3,5)=18 Succeeded, w=41\",\"Add (0,1)=39 Failed, w=41\",\"Add (3,4)=53 Succeeded, w=94\",\"Add (0,2)=56 Failed, w=94\",\"Add (2,3)=70 Failed, w=94\",\"Add (2,4)=71 Failed, w=94\",\"Add (0,3)=75 Failed, w=94\",\"Add (0,5)=77 Failed, w=94\",\"Add (4,5)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,56],[0,3,75],[0,4,8],[0,5,77],[1,4,5],[2,3,70],[2,4,71],[2,5,10],[3,4,53],[3,5,18],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(0,4)=8,(2,5)=10,(3,5)=18,(0,1)=39,(3,4)=53,(0,2)=56,(2,3)=70,(2,4)=71,(0,3)=75,(0,5)=77,(4,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=1, Add (0,4)=8 Succeeded, w=13\",\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=23\",\"Find(3)=3, Find(5)=2, Add (3,5)=18 Succeeded, w=41\",\"Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=41\",\"Find(3)=2, Find(4)=1, Add (3,4)=53 Succeeded, w=94\",\"Find(0)=2, Find(2)=2, Add (0,2)=56 Failed, w=94\",\"Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=94\",\"Find(2)=2, Find(4)=2, Add (2,4)=71 Failed, w=94\",\"Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=94\",\"Find(0)=2, Find(5)=2, Add (0,5)=77 Failed, w=94\",\"Find(4)=2, Find(5)=2, Add (4,5)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,56],[0,3,75],[0,4,8],[0,5,77],[1,4,5],[2,3,70],[2,4,71],[2,5,10],[3,4,53],[3,5,18],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(0,4)=8,(2,5)=10,(3,5)=18,(0,1)=39,(3,4)=53,(0,2)=56,(2,3)=70,(2,4)=71,(0,3)=75,(0,5)=77,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=8 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=18 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2}, Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=41\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(3)=2, Find(4)=1, Add (3,4)=53 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=56 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=71 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=77 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,2,23],[0,4,83],[0,5,80],[0,6,50],[1,2,17],[1,6,31],[2,3,61],[2,5,20],[2,6,68],[3,4,73],[3,5,7],[4,5,23],[4,6,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,23],[0,4,83],[0,5,80],[0,6,50],[1,2,17],[1,6,31],[2,3,61],[2,5,20],[2,6,68],[3,4,73],[3,5,7],[4,5,23],[4,6,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,23],[0,4,83],[0,5,80],[0,6,50],[1,2,17],[1,6,31],[2,3,61],[2,5,20],[2,6,68],[3,4,73],[3,5,7],[4,5,23],[4,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (1,6)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,23],[0,4,83],[0,5,80],[0,6,50],[1,2,17],[1,6,31],[2,3,61],[2,5,20],[2,6,68],[3,4,73],[3,5,7],[4,5,23],[4,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=7, w=7\",\"Add (1,2)=17, w=24\",\"Add (2,5)=20, w=44\",\"Add (0,2)=23, w=67\",\"Add (4,5)=23, w=90\",\"Add (1,6)=31, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,23],[0,4,83],[0,5,80],[0,6,50],[1,2,17],[1,6,31],[2,3,61],[2,5,20],[2,6,68],[3,4,73],[3,5,7],[4,5,23],[4,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=7 Succeeded, w=7\",\"Add (1,2)=17 Succeeded, w=24\",\"Add (2,5)=20 Succeeded, w=44\",\"Add (0,2)=23 Succeeded, w=67\",\"Add (4,5)=23 Succeeded, w=90\",\"Add (1,6)=31 Succeeded, w=121\",\"Add (0,6)=50 Failed, w=121\",\"Add (2,3)=61 Failed, w=121\",\"Add (2,6)=68 Failed, w=121\",\"Add (3,4)=73 Failed, w=121\",\"Add (4,6)=78 Failed, w=121\",\"Add (0,5)=80 Failed, w=121\",\"Add (0,1)=82 Failed, w=121\",\"Add (0,4)=83 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,23],[0,4,83],[0,5,80],[0,6,50],[1,2,17],[1,6,31],[2,3,61],[2,5,20],[2,6,68],[3,4,73],[3,5,7],[4,5,23],[4,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=7,(1,2)=17,(2,5)=20,(0,2)=23,(4,5)=23,(1,6)=31,(0,6)=50,(2,3)=61,(2,6)=68,(3,4)=73,(4,6)=78,(0,5)=80,(0,1)=82,(0,4)=83]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=24\",\"Find(2)=1, Find(5)=3, Add (2,5)=20 Succeeded, w=44\",\"Find(0)=0, Find(2)=1, Add (0,2)=23 Succeeded, w=67\",\"Find(4)=4, Find(5)=1, Add (4,5)=23 Succeeded, w=90\",\"Find(1)=1, Find(6)=6, Add (1,6)=31 Succeeded, w=121\",\"Find(0)=1, Find(6)=1, Add (0,6)=50 Failed, w=121\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=121\",\"Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=121\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=121\",\"Find(4)=1, Find(6)=1, Add (4,6)=78 Failed, w=121\",\"Find(0)=1, Find(5)=1, Add (0,5)=80 Failed, w=121\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=121\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,23],[0,4,83],[0,5,80],[0,6,50],[1,2,17],[1,6,31],[2,3,61],[2,5,20],[2,6,68],[3,4,73],[3,5,7],[4,5,23],[4,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=7,(1,2)=17,(2,5)=20,(0,2)=23,(4,5)=23,(1,6)=31,(0,6)=50,(2,3)=61,(2,6)=68,(3,4)=73,(4,6)=78,(0,5)=80,(0,1)=82,(0,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 6}, Find(2)=1, Find(5)=3, Add (2,5)=20 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(2)=1, Add (0,2)=23 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(4)=4, Find(5)=1, Add (4,5)=23 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=31 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=50 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=78 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=80 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,66],[1,2,19],[1,3,58],[2,3,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,66],[1,2,19],[1,3,58],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,66],[1,2,19],[1,3,58],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,66],[1,2,19],[1,3,58],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19, w=19\",\"Add (1,3)=58, w=77\",\"Add (0,3)=66, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,66],[1,2,19],[1,3,58],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19 Succeeded, w=19\",\"Add (1,3)=58 Succeeded, w=77\",\"Add (0,3)=66 Succeeded, w=143\",\"Add (2,3)=82 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,66],[1,2,19],[1,3,58],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(1,3)=58,(0,3)=66,(2,3)=82]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=58 Succeeded, w=77\",\"Find(0)=0, Find(3)=1, Add (0,3)=66 Succeeded, w=143\",\"Find(2)=1, Find(3)=1, Add (2,3)=82 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,66],[1,2,19],[1,3,58],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(1,3)=58,(0,3)=66,(2,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=58 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=66 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=82 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,79],[0,3,100],[0,4,63],[0,5,15],[1,3,76],[1,5,93],[2,3,89],[2,4,96],[2,5,87],[3,4,89],[3,5,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,100],[0,4,63],[0,5,15],[1,3,76],[1,5,93],[2,3,89],[2,4,96],[2,5,87],[3,4,89],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,100],[0,4,63],[0,5,15],[1,3,76],[1,5,93],[2,3,89],[2,4,96],[2,5,87],[3,4,89],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,100],[0,4,63],[0,5,15],[1,3,76],[1,5,93],[2,3,89],[2,4,96],[2,5,87],[3,4,89],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=15, w=15\",\"Add (0,4)=63, w=78\",\"Add (1,3)=76, w=154\",\"Add (0,2)=79, w=233\",\"Add (3,5)=83, w=316\"],\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,100],[0,4,63],[0,5,15],[1,3,76],[1,5,93],[2,3,89],[2,4,96],[2,5,87],[3,4,89],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=15 Succeeded, w=15\",\"Add (0,4)=63 Succeeded, w=78\",\"Add (1,3)=76 Succeeded, w=154\",\"Add (0,2)=79 Succeeded, w=233\",\"Add (3,5)=83 Succeeded, w=316\",\"Add (2,5)=87 Failed, w=316\",\"Add (2,3)=89 Failed, w=316\",\"Add (3,4)=89 Failed, w=316\",\"Add (1,5)=93 Failed, w=316\",\"Add (2,4)=96 Failed, w=316\",\"Add (0,3)=100 Failed, w=316\"],\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,100],[0,4,63],[0,5,15],[1,3,76],[1,5,93],[2,3,89],[2,4,96],[2,5,87],[3,4,89],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=15,(0,4)=63,(1,3)=76,(0,2)=79,(3,5)=83,(2,5)=87,(2,3)=89,(3,4)=89,(1,5)=93,(2,4)=96,(0,3)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=15\",\"Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=78\",\"Find(1)=1, Find(3)=3, Add (1,3)=76 Succeeded, w=154\",\"Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=233\",\"Find(3)=1, Find(5)=0, Add (3,5)=83 Succeeded, w=316\",\"Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=316\",\"Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=316\",\"Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=316\",\"Find(1)=1, Find(5)=1, Add (1,5)=93 Failed, w=316\",\"Find(2)=1, Find(4)=1, Add (2,4)=96 Failed, w=316\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=316\"],\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,100],[0,4,63],[0,5,15],[1,3,76],[1,5,93],[2,3,89],[2,4,96],[2,5,87],[3,4,89],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=15,(0,4)=63,(1,3)=76,(0,2)=79,(3,5)=83,(2,5)=87,(2,3)=89,(3,4)=89,(1,5)=93,(2,4)=96,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=76 Succeeded, w=154\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=233\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0}, Find(3)=1, Find(5)=0, Add (3,5)=83 Succeeded, w=316\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=316\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=316\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=316\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=93 Failed, w=316\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=96 Failed, w=316\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=316\"],\"Answer\":316}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,36],[0,2,10],[0,3,68],[0,4,92],[0,5,11],[0,6,59],[0,7,2],[1,2,85],[1,3,7],[1,4,92],[1,5,34],[1,6,52],[1,7,32],[2,3,87],[2,4,74],[2,6,66],[2,7,55],[3,4,33],[3,5,74],[3,6,27],[3,7,1],[4,5,5],[4,6,55],[4,7,84],[5,6,83],[5,7,97],[6,7,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,10],[0,3,68],[0,4,92],[0,5,11],[0,6,59],[0,7,2],[1,2,85],[1,3,7],[1,4,92],[1,5,34],[1,6,52],[1,7,32],[2,3,87],[2,4,74],[2,6,66],[2,7,55],[3,4,33],[3,5,74],[3,6,27],[3,7,1],[4,5,5],[4,6,55],[4,7,84],[5,6,83],[5,7,97],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,10],[0,3,68],[0,4,92],[0,5,11],[0,6,59],[0,7,2],[1,2,85],[1,3,7],[1,4,92],[1,5,34],[1,6,52],[1,7,32],[2,3,87],[2,4,74],[2,6,66],[2,7,55],[3,4,33],[3,5,74],[3,6,27],[3,7,1],[4,5,5],[4,6,55],[4,7,84],[5,6,83],[5,7,97],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (3,6)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,10],[0,3,68],[0,4,92],[0,5,11],[0,6,59],[0,7,2],[1,2,85],[1,3,7],[1,4,92],[1,5,34],[1,6,52],[1,7,32],[2,3,87],[2,4,74],[2,6,66],[2,7,55],[3,4,33],[3,5,74],[3,6,27],[3,7,1],[4,5,5],[4,6,55],[4,7,84],[5,6,83],[5,7,97],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=1, w=1\",\"Add (0,7)=2, w=3\",\"Add (4,5)=5, w=8\",\"Add (1,3)=7, w=15\",\"Add (0,2)=10, w=25\",\"Add (0,5)=11, w=36\",\"Add (3,6)=27, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,10],[0,3,68],[0,4,92],[0,5,11],[0,6,59],[0,7,2],[1,2,85],[1,3,7],[1,4,92],[1,5,34],[1,6,52],[1,7,32],[2,3,87],[2,4,74],[2,6,66],[2,7,55],[3,4,33],[3,5,74],[3,6,27],[3,7,1],[4,5,5],[4,6,55],[4,7,84],[5,6,83],[5,7,97],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=1 Succeeded, w=1\",\"Add (0,7)=2 Succeeded, w=3\",\"Add (4,5)=5 Succeeded, w=8\",\"Add (1,3)=7 Succeeded, w=15\",\"Add (0,2)=10 Succeeded, w=25\",\"Add (0,5)=11 Succeeded, w=36\",\"Add (3,6)=27 Succeeded, w=63\",\"Add (1,7)=32 Failed, w=63\",\"Add (3,4)=33 Failed, w=63\",\"Add (1,5)=34 Failed, w=63\",\"Add (0,1)=36 Failed, w=63\",\"Add (6,7)=43 Failed, w=63\",\"Add (1,6)=52 Failed, w=63\",\"Add (2,7)=55 Failed, w=63\",\"Add (4,6)=55 Failed, w=63\",\"Add (0,6)=59 Failed, w=63\",\"Add (2,6)=66 Failed, w=63\",\"Add (0,3)=68 Failed, w=63\",\"Add (2,4)=74 Failed, w=63\",\"Add (3,5)=74 Failed, w=63\",\"Add (5,6)=83 Failed, w=63\",\"Add (4,7)=84 Failed, w=63\",\"Add (1,2)=85 Failed, w=63\",\"Add (2,3)=87 Failed, w=63\",\"Add (0,4)=92 Failed, w=63\",\"Add (1,4)=92 Failed, w=63\",\"Add (5,7)=97 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,10],[0,3,68],[0,4,92],[0,5,11],[0,6,59],[0,7,2],[1,2,85],[1,3,7],[1,4,92],[1,5,34],[1,6,52],[1,7,32],[2,3,87],[2,4,74],[2,6,66],[2,7,55],[3,4,33],[3,5,74],[3,6,27],[3,7,1],[4,5,5],[4,6,55],[4,7,84],[5,6,83],[5,7,97],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=1,(0,7)=2,(4,5)=5,(1,3)=7,(0,2)=10,(0,5)=11,(3,6)=27,(1,7)=32,(3,4)=33,(1,5)=34,(0,1)=36,(6,7)=43,(1,6)=52,(2,7)=55,(4,6)=55,(0,6)=59,(2,6)=66,(0,3)=68,(2,4)=74,(3,5)=74,(5,6)=83,(4,7)=84,(1,2)=85,(2,3)=87,(0,4)=92,(1,4)=92,(5,7)=97]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(0)=0, Find(7)=3, Add (0,7)=2 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=8\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=15\",\"Find(0)=3, Find(2)=2, Add (0,2)=10 Succeeded, w=25\",\"Find(0)=3, Find(5)=4, Add (0,5)=11 Succeeded, w=36\",\"Find(3)=3, Find(6)=6, Add (3,6)=27 Succeeded, w=63\",\"Find(1)=3, Find(7)=3, Add (1,7)=32 Failed, w=63\",\"Find(3)=3, Find(4)=3, Add (3,4)=33 Failed, w=63\",\"Find(1)=3, Find(5)=3, Add (1,5)=34 Failed, w=63\",\"Find(0)=3, Find(1)=3, Add (0,1)=36 Failed, w=63\",\"Find(6)=3, Find(7)=3, Add (6,7)=43 Failed, w=63\",\"Find(1)=3, Find(6)=3, Add (1,6)=52 Failed, w=63\",\"Find(2)=3, Find(7)=3, Add (2,7)=55 Failed, w=63\",\"Find(4)=3, Find(6)=3, Add (4,6)=55 Failed, w=63\",\"Find(0)=3, Find(6)=3, Add (0,6)=59 Failed, w=63\",\"Find(2)=3, Find(6)=3, Add (2,6)=66 Failed, w=63\",\"Find(0)=3, Find(3)=3, Add (0,3)=68 Failed, w=63\",\"Find(2)=3, Find(4)=3, Add (2,4)=74 Failed, w=63\",\"Find(3)=3, Find(5)=3, Add (3,5)=74 Failed, w=63\",\"Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=63\",\"Find(4)=3, Find(7)=3, Add (4,7)=84 Failed, w=63\",\"Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=63\",\"Find(2)=3, Find(3)=3, Add (2,3)=87 Failed, w=63\",\"Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=63\",\"Find(1)=3, Find(4)=3, Add (1,4)=92 Failed, w=63\",\"Find(5)=3, Find(7)=3, Add (5,7)=97 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,10],[0,3,68],[0,4,92],[0,5,11],[0,6,59],[0,7,2],[1,2,85],[1,3,7],[1,4,92],[1,5,34],[1,6,52],[1,7,32],[2,3,87],[2,4,74],[2,6,66],[2,7,55],[3,4,33],[3,5,74],[3,6,27],[3,7,1],[4,5,5],[4,6,55],[4,7,84],[5,6,83],[5,7,97],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=1,(0,7)=2,(4,5)=5,(1,3)=7,(0,2)=10,(0,5)=11,(3,6)=27,(1,7)=32,(3,4)=33,(1,5)=34,(0,1)=36,(6,7)=43,(1,6)=52,(2,7)=55,(4,6)=55,(0,6)=59,(2,6)=66,(0,3)=68,(2,4)=74,(3,5)=74,(5,6)=83,(4,7)=84,(1,2)=85,(2,3)=87,(0,4)=92,(1,4)=92,(5,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(7)=3, Add (0,7)=2 Succeeded, w=3\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=8\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=15\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(0)=3, Find(2)=2, Add (0,2)=10 Succeeded, w=25\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 6, 7: 3}, Find(0)=3, Find(5)=4, Add (0,5)=11 Succeeded, w=36\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(3)=3, Find(6)=6, Add (3,6)=27 Succeeded, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=32 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=33 Failed, w=63\",\"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)=34 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=36 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=43 Failed, w=63\",\"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)=52 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=55 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=55 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=59 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=66 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=68 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=74 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=74 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=84 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=87 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=92 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=97 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,39],[0,5,32],[1,2,89],[1,5,57],[2,3,0],[2,4,70],[2,5,87],[3,4,36],[3,5,37],[4,5,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,5,32],[1,2,89],[1,5,57],[2,3,0],[2,4,70],[2,5,87],[3,4,36],[3,5,37],[4,5,2]]}",
"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],\"edges\":[[0,3,39],[0,5,32],[1,2,89],[1,5,57],[2,3,0],[2,4,70],[2,5,87],[3,4,36],[3,5,37],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,5,32],[1,2,89],[1,5,57],[2,3,0],[2,4,70],[2,5,87],[3,4,36],[3,5,37],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (4,5)=2, w=2\",\"Add (0,5)=32, w=34\",\"Add (3,4)=36, w=70\",\"Add (1,5)=57, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,5,32],[1,2,89],[1,5,57],[2,3,0],[2,4,70],[2,5,87],[3,4,36],[3,5,37],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (4,5)=2 Succeeded, w=2\",\"Add (0,5)=32 Succeeded, w=34\",\"Add (3,4)=36 Succeeded, w=70\",\"Add (3,5)=37 Failed, w=70\",\"Add (0,3)=39 Failed, w=70\",\"Add (1,5)=57 Succeeded, w=127\",\"Add (2,4)=70 Failed, w=127\",\"Add (2,5)=87 Failed, w=127\",\"Add (1,2)=89 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],\"edges\":[[0,3,39],[0,5,32],[1,2,89],[1,5,57],[2,3,0],[2,4,70],[2,5,87],[3,4,36],[3,5,37],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(4,5)=2,(0,5)=32,(3,4)=36,(3,5)=37,(0,3)=39,(1,5)=57,(2,4)=70,(2,5)=87,(1,2)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=4, Add (0,5)=32 Succeeded, w=34\",\"Find(3)=2, Find(4)=4, Add (3,4)=36 Succeeded, w=70\",\"Find(3)=2, Find(5)=2, Add (3,5)=37 Failed, w=70\",\"Find(0)=2, Find(3)=2, Add (0,3)=39 Failed, w=70\",\"Find(1)=1, Find(5)=2, Add (1,5)=57 Succeeded, w=127\",\"Find(2)=2, Find(4)=2, Add (2,4)=70 Failed, w=127\",\"Find(2)=2, Find(5)=2, Add (2,5)=87 Failed, w=127\",\"Find(1)=2, Find(2)=2, Add (1,2)=89 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],\"edges\":[[0,3,39],[0,5,32],[1,2,89],[1,5,57],[2,3,0],[2,4,70],[2,5,87],[3,4,36],[3,5,37],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(4,5)=2,(0,5)=32,(3,4)=36,(3,5)=37,(0,3)=39,(1,5)=57,(2,4)=70,(2,5)=87,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=32 Succeeded, w=34\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(4)=4, Add (3,4)=36 Succeeded, w=70\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=37 Failed, w=70\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=39 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=57 Succeeded, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=70 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=87 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,2,79],[0,4,48],[0,5,33],[1,2,76],[1,3,34],[1,4,78],[2,3,74],[2,4,25],[2,5,12],[3,4,62],[3,5,63],[4,5,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,79],[0,4,48],[0,5,33],[1,2,76],[1,3,34],[1,4,78],[2,3,74],[2,4,25],[2,5,12],[3,4,62],[3,5,63],[4,5,28]]}",
"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],\"edges\":[[0,1,48],[0,2,79],[0,4,48],[0,5,33],[1,2,76],[1,3,34],[1,4,78],[2,3,74],[2,4,25],[2,5,12],[3,4,62],[3,5,63],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,79],[0,4,48],[0,5,33],[1,2,76],[1,3,34],[1,4,78],[2,3,74],[2,4,25],[2,5,12],[3,4,62],[3,5,63],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=12, w=12\",\"Add (2,4)=25, w=37\",\"Add (0,5)=33, w=70\",\"Add (1,3)=34, w=104\",\"Add (0,1)=48, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,79],[0,4,48],[0,5,33],[1,2,76],[1,3,34],[1,4,78],[2,3,74],[2,4,25],[2,5,12],[3,4,62],[3,5,63],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=12 Succeeded, w=12\",\"Add (2,4)=25 Succeeded, w=37\",\"Add (4,5)=28 Failed, w=37\",\"Add (0,5)=33 Succeeded, w=70\",\"Add (1,3)=34 Succeeded, w=104\",\"Add (0,1)=48 Succeeded, w=152\",\"Add (0,4)=48 Failed, w=152\",\"Add (3,4)=62 Failed, w=152\",\"Add (3,5)=63 Failed, w=152\",\"Add (2,3)=74 Failed, w=152\",\"Add (1,2)=76 Failed, w=152\",\"Add (1,4)=78 Failed, w=152\",\"Add (0,2)=79 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],\"edges\":[[0,1,48],[0,2,79],[0,4,48],[0,5,33],[1,2,76],[1,3,34],[1,4,78],[2,3,74],[2,4,25],[2,5,12],[3,4,62],[3,5,63],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=12,(2,4)=25,(4,5)=28,(0,5)=33,(1,3)=34,(0,1)=48,(0,4)=48,(3,4)=62,(3,5)=63,(2,3)=74,(1,2)=76,(1,4)=78,(0,2)=79]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=37\",\"Find(4)=2, Find(5)=2, Add (4,5)=28 Failed, w=37\",\"Find(0)=0, Find(5)=2, Add (0,5)=33 Succeeded, w=70\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=104\",\"Find(0)=2, Find(1)=1, Add (0,1)=48 Succeeded, w=152\",\"Find(0)=2, Find(4)=2, Add (0,4)=48 Failed, w=152\",\"Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=152\",\"Find(3)=2, Find(5)=2, Add (3,5)=63 Failed, w=152\",\"Find(2)=2, Find(3)=2, Add (2,3)=74 Failed, w=152\",\"Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=152\",\"Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=152\",\"Find(0)=2, Find(2)=2, Add (0,2)=79 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],\"edges\":[[0,1,48],[0,2,79],[0,4,48],[0,5,33],[1,2,76],[1,3,34],[1,4,78],[2,3,74],[2,4,25],[2,5,12],[3,4,62],[3,5,63],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=12,(2,4)=25,(4,5)=28,(0,5)=33,(1,3)=34,(0,1)=48,(0,4)=48,(3,4)=62,(3,5)=63,(2,3)=74,(1,2)=76,(1,4)=78,(0,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=28 Failed, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=33 Succeeded, w=70\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=48 Succeeded, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=48 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=63 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=74 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,68],[0,3,81],[0,4,34],[1,3,78],[1,4,84],[3,4,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,3,81],[0,4,34],[1,3,78],[1,4,84],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,3,81],[0,4,34],[1,3,78],[1,4,84],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,3,81],[0,4,34],[1,3,78],[1,4,84],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=34, w=34\",\"Add (0,1)=68, w=102\",\"Add (1,3)=78, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,3,81],[0,4,34],[1,3,78],[1,4,84],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=34 Succeeded, w=34\",\"Add (0,1)=68 Succeeded, w=102\",\"Add (1,3)=78 Succeeded, w=180\",\"Add (0,3)=81 Failed, w=180\",\"Add (3,4)=82 Failed, w=180\",\"Add (1,4)=84 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,3,81],[0,4,34],[1,3,78],[1,4,84],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=34,(0,1)=68,(1,3)=78,(0,3)=81,(3,4)=82,(1,4)=84]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=102\",\"Find(1)=0, Find(3)=3, Add (1,3)=78 Succeeded, w=180\",\"Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=180\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=180\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,3,81],[0,4,34],[1,3,78],[1,4,84],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=34,(0,1)=68,(1,3)=78,(0,3)=81,(3,4)=82,(1,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=78 Succeeded, w=180\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,94],[0,3,4],[0,4,52],[1,2,88],[1,3,36],[1,4,63],[2,3,83],[3,4,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,94],[0,3,4],[0,4,52],[1,2,88],[1,3,36],[1,4,63],[2,3,83],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,94],[0,3,4],[0,4,52],[1,2,88],[1,3,36],[1,4,63],[2,3,83],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,94],[0,3,4],[0,4,52],[1,2,88],[1,3,36],[1,4,63],[2,3,83],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (0,1)=36, w=40\",\"Add (3,4)=51, w=91\",\"Add (2,3)=83, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,94],[0,3,4],[0,4,52],[1,2,88],[1,3,36],[1,4,63],[2,3,83],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (0,1)=36 Succeeded, w=40\",\"Add (1,3)=36 Failed, w=40\",\"Add (3,4)=51 Succeeded, w=91\",\"Add (0,4)=52 Failed, w=91\",\"Add (1,4)=63 Failed, w=91\",\"Add (2,3)=83 Succeeded, w=174\",\"Add (1,2)=88 Failed, w=174\",\"Add (0,2)=94 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,94],[0,3,4],[0,4,52],[1,2,88],[1,3,36],[1,4,63],[2,3,83],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,1)=36,(1,3)=36,(3,4)=51,(0,4)=52,(1,4)=63,(2,3)=83,(1,2)=88,(0,2)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=40\",\"Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=40\",\"Find(3)=0, Find(4)=4, Add (3,4)=51 Succeeded, w=91\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=91\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=91\",\"Find(2)=2, Find(3)=0, Add (2,3)=83 Succeeded, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=174\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,94],[0,3,4],[0,4,52],[1,2,88],[1,3,36],[1,4,63],[2,3,83],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,1)=36,(1,3)=36,(3,4)=51,(0,4)=52,(1,4)=63,(2,3)=83,(1,2)=88,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=51 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=83 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,92],[0,4,57],[0,5,86],[0,6,31],[1,3,5],[1,4,44],[1,5,76],[2,3,59],[2,4,85],[2,5,60],[3,4,40],[3,5,84],[3,6,57],[4,6,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,92],[0,4,57],[0,5,86],[0,6,31],[1,3,5],[1,4,44],[1,5,76],[2,3,59],[2,4,85],[2,5,60],[3,4,40],[3,5,84],[3,6,57],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,92],[0,4,57],[0,5,86],[0,6,31],[1,3,5],[1,4,44],[1,5,76],[2,3,59],[2,4,85],[2,5,60],[3,4,40],[3,5,84],[3,6,57],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (2,5)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,92],[0,4,57],[0,5,86],[0,6,31],[1,3,5],[1,4,44],[1,5,76],[2,3,59],[2,4,85],[2,5,60],[3,4,40],[3,5,84],[3,6,57],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (4,6)=16, w=21\",\"Add (0,6)=31, w=52\",\"Add (3,4)=40, w=92\",\"Add (2,3)=59, w=151\",\"Add (2,5)=60, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,92],[0,4,57],[0,5,86],[0,6,31],[1,3,5],[1,4,44],[1,5,76],[2,3,59],[2,4,85],[2,5,60],[3,4,40],[3,5,84],[3,6,57],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (4,6)=16 Succeeded, w=21\",\"Add (0,6)=31 Succeeded, w=52\",\"Add (3,4)=40 Succeeded, w=92\",\"Add (1,4)=44 Failed, w=92\",\"Add (0,4)=57 Failed, w=92\",\"Add (3,6)=57 Failed, w=92\",\"Add (2,3)=59 Succeeded, w=151\",\"Add (2,5)=60 Succeeded, w=211\",\"Add (1,5)=76 Failed, w=211\",\"Add (3,5)=84 Failed, w=211\",\"Add (2,4)=85 Failed, w=211\",\"Add (0,5)=86 Failed, w=211\",\"Add (0,3)=92 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,92],[0,4,57],[0,5,86],[0,6,31],[1,3,5],[1,4,44],[1,5,76],[2,3,59],[2,4,85],[2,5,60],[3,4,40],[3,5,84],[3,6,57],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(4,6)=16,(0,6)=31,(3,4)=40,(1,4)=44,(0,4)=57,(3,6)=57,(2,3)=59,(2,5)=60,(1,5)=76,(3,5)=84,(2,4)=85,(0,5)=86,(0,3)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=21\",\"Find(0)=0, Find(6)=4, Add (0,6)=31 Succeeded, w=52\",\"Find(3)=1, Find(4)=4, Add (3,4)=40 Succeeded, w=92\",\"Find(1)=1, Find(4)=1, Add (1,4)=44 Failed, w=92\",\"Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=92\",\"Find(3)=1, Find(6)=1, Add (3,6)=57 Failed, w=92\",\"Find(2)=2, Find(3)=1, Add (2,3)=59 Succeeded, w=151\",\"Find(2)=1, Find(5)=5, Add (2,5)=60 Succeeded, w=211\",\"Find(1)=1, Find(5)=1, Add (1,5)=76 Failed, w=211\",\"Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=211\",\"Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=211\",\"Find(0)=1, Find(5)=1, Add (0,5)=86 Failed, w=211\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,92],[0,4,57],[0,5,86],[0,6,31],[1,3,5],[1,4,44],[1,5,76],[2,3,59],[2,4,85],[2,5,60],[3,4,40],[3,5,84],[3,6,57],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(4,6)=16,(0,6)=31,(3,4)=40,(1,4)=44,(0,4)=57,(3,6)=57,(2,3)=59,(2,5)=60,(1,5)=76,(3,5)=84,(2,4)=85,(0,5)=86,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=21\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=31 Succeeded, w=52\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4}, Find(3)=1, Find(4)=4, Add (3,4)=40 Succeeded, w=92\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4}, Find(1)=1, Find(4)=1, Add (1,4)=44 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4}, Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=57 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=2, Find(3)=1, Add (2,3)=59 Succeeded, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=5, Add (2,5)=60 Succeeded, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=76 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=86 Failed, w=211\",\"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=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,27],[0,3,22],[0,5,85],[0,6,33],[1,3,45],[1,4,2],[1,5,10],[1,6,0],[2,4,39],[2,5,31],[2,6,78],[3,4,39],[3,5,47],[3,6,85],[4,6,76],[5,6,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,27],[0,3,22],[0,5,85],[0,6,33],[1,3,45],[1,4,2],[1,5,10],[1,6,0],[2,4,39],[2,5,31],[2,6,78],[3,4,39],[3,5,47],[3,6,85],[4,6,76],[5,6,16]]}",
"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],\"edges\":[[0,1,61],[0,2,27],[0,3,22],[0,5,85],[0,6,33],[1,3,45],[1,4,2],[1,5,10],[1,6,0],[2,4,39],[2,5,31],[2,6,78],[3,4,39],[3,5,47],[3,6,85],[4,6,76],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (2,5)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,27],[0,3,22],[0,5,85],[0,6,33],[1,3,45],[1,4,2],[1,5,10],[1,6,0],[2,4,39],[2,5,31],[2,6,78],[3,4,39],[3,5,47],[3,6,85],[4,6,76],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0, w=0\",\"Add (1,4)=2, w=2\",\"Add (1,5)=10, w=12\",\"Add (0,3)=22, w=34\",\"Add (0,2)=27, w=61\",\"Add (2,5)=31, 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],\"edges\":[[0,1,61],[0,2,27],[0,3,22],[0,5,85],[0,6,33],[1,3,45],[1,4,2],[1,5,10],[1,6,0],[2,4,39],[2,5,31],[2,6,78],[3,4,39],[3,5,47],[3,6,85],[4,6,76],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0 Succeeded, w=0\",\"Add (1,4)=2 Succeeded, w=2\",\"Add (1,5)=10 Succeeded, w=12\",\"Add (5,6)=16 Failed, w=12\",\"Add (0,3)=22 Succeeded, w=34\",\"Add (0,2)=27 Succeeded, w=61\",\"Add (2,5)=31 Succeeded, w=92\",\"Add (0,6)=33 Failed, w=92\",\"Add (2,4)=39 Failed, w=92\",\"Add (3,4)=39 Failed, w=92\",\"Add (1,3)=45 Failed, w=92\",\"Add (3,5)=47 Failed, w=92\",\"Add (0,1)=61 Failed, w=92\",\"Add (4,6)=76 Failed, w=92\",\"Add (2,6)=78 Failed, w=92\",\"Add (0,5)=85 Failed, w=92\",\"Add (3,6)=85 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],\"edges\":[[0,1,61],[0,2,27],[0,3,22],[0,5,85],[0,6,33],[1,3,45],[1,4,2],[1,5,10],[1,6,0],[2,4,39],[2,5,31],[2,6,78],[3,4,39],[3,5,47],[3,6,85],[4,6,76],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(1,4)=2,(1,5)=10,(5,6)=16,(0,3)=22,(0,2)=27,(2,5)=31,(0,6)=33,(2,4)=39,(3,4)=39,(1,3)=45,(3,5)=47,(0,1)=61,(4,6)=76,(2,6)=78,(0,5)=85,(3,6)=85]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=12\",\"Find(5)=1, Find(6)=1, Add (5,6)=16 Failed, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=61\",\"Find(2)=0, Find(5)=1, Add (2,5)=31 Succeeded, w=92\",\"Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=92\",\"Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=92\",\"Find(3)=0, Find(4)=0, Add (3,4)=39 Failed, w=92\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=92\",\"Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=92\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=92\",\"Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=92\",\"Find(2)=0, Find(6)=0, Add (2,6)=78 Failed, w=92\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=92\",\"Find(3)=0, Find(6)=0, Add (3,6)=85 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],\"edges\":[[0,1,61],[0,2,27],[0,3,22],[0,5,85],[0,6,33],[1,3,45],[1,4,2],[1,5,10],[1,6,0],[2,4,39],[2,5,31],[2,6,78],[3,4,39],[3,5,47],[3,6,85],[4,6,76],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(1,4)=2,(1,5)=10,(5,6)=16,(0,3)=22,(0,2)=27,(2,5)=31,(0,6)=33,(2,4)=39,(3,4)=39,(1,3)=45,(3,5)=47,(0,1)=61,(4,6)=76,(2,6)=78,(0,5)=85,(3,6)=85]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=16 Failed, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1}, Find(2)=0, Find(5)=1, Add (2,5)=31 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=39 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=78 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[2,3,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=44, w=44\",\"Add (0,1)=70, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=44 Succeeded, w=44\",\"Add (0,1)=70 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=44,(0,1)=70]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=44 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=70 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=44,(0,1)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=44 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=70 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,88],[0,3,35],[1,2,92],[1,3,66],[1,4,78],[2,3,80],[2,4,80],[3,4,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,88],[0,3,35],[1,2,92],[1,3,66],[1,4,78],[2,3,80],[2,4,80],[3,4,8]]}",
"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\":[[0,1,80],[0,2,88],[0,3,35],[1,2,92],[1,3,66],[1,4,78],[2,3,80],[2,4,80],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,88],[0,3,35],[1,2,92],[1,3,66],[1,4,78],[2,3,80],[2,4,80],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (0,3)=35, w=43\",\"Add (1,3)=66, w=109\",\"Add (2,3)=80, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,88],[0,3,35],[1,2,92],[1,3,66],[1,4,78],[2,3,80],[2,4,80],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (0,3)=35 Succeeded, w=43\",\"Add (1,3)=66 Succeeded, w=109\",\"Add (1,4)=78 Failed, w=109\",\"Add (0,1)=80 Failed, w=109\",\"Add (2,3)=80 Succeeded, w=189\",\"Add (2,4)=80 Failed, w=189\",\"Add (0,2)=88 Failed, w=189\",\"Add (1,2)=92 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\":[[0,1,80],[0,2,88],[0,3,35],[1,2,92],[1,3,66],[1,4,78],[2,3,80],[2,4,80],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(0,3)=35,(1,3)=66,(1,4)=78,(0,1)=80,(2,3)=80,(2,4)=80,(0,2)=88,(1,2)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=43\",\"Find(1)=1, Find(3)=3, Add (1,3)=66 Succeeded, w=109\",\"Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=109\",\"Find(0)=3, Find(1)=3, Add (0,1)=80 Failed, w=109\",\"Find(2)=2, Find(3)=3, Add (2,3)=80 Succeeded, w=189\",\"Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=189\",\"Find(0)=3, Find(2)=3, Add (0,2)=88 Failed, w=189\",\"Find(1)=3, Find(2)=3, Add (1,2)=92 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\":[[0,1,80],[0,2,88],[0,3,35],[1,2,92],[1,3,66],[1,4,78],[2,3,80],[2,4,80],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(0,3)=35,(1,3)=66,(1,4)=78,(0,1)=80,(2,3)=80,(2,4)=80,(0,2)=88,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=43\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=66 Succeeded, w=109\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=80 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=80 Succeeded, w=189\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=189\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=88 Failed, w=189\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=92 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,85],[0,4,30],[0,5,32],[0,6,7],[1,2,23],[1,3,80],[1,6,48],[2,3,31],[2,4,88],[2,6,84],[3,5,88],[3,6,88],[4,6,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,30],[0,5,32],[0,6,7],[1,2,23],[1,3,80],[1,6,48],[2,3,31],[2,4,88],[2,6,84],[3,5,88],[3,6,88],[4,6,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,30],[0,5,32],[0,6,7],[1,2,23],[1,3,80],[1,6,48],[2,3,31],[2,4,88],[2,6,84],[3,5,88],[3,6,88],[4,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (1,6)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,30],[0,5,32],[0,6,7],[1,2,23],[1,3,80],[1,6,48],[2,3,31],[2,4,88],[2,6,84],[3,5,88],[3,6,88],[4,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=7, w=7\",\"Add (1,2)=23, w=30\",\"Add (0,4)=30, w=60\",\"Add (2,3)=31, w=91\",\"Add (0,5)=32, w=123\",\"Add (1,6)=48, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,30],[0,5,32],[0,6,7],[1,2,23],[1,3,80],[1,6,48],[2,3,31],[2,4,88],[2,6,84],[3,5,88],[3,6,88],[4,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=7 Succeeded, w=7\",\"Add (1,2)=23 Succeeded, w=30\",\"Add (0,4)=30 Succeeded, w=60\",\"Add (2,3)=31 Succeeded, w=91\",\"Add (0,5)=32 Succeeded, w=123\",\"Add (1,6)=48 Succeeded, w=171\",\"Add (1,3)=80 Failed, w=171\",\"Add (2,6)=84 Failed, w=171\",\"Add (0,1)=85 Failed, w=171\",\"Add (2,4)=88 Failed, w=171\",\"Add (3,5)=88 Failed, w=171\",\"Add (3,6)=88 Failed, w=171\",\"Add (4,6)=89 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,30],[0,5,32],[0,6,7],[1,2,23],[1,3,80],[1,6,48],[2,3,31],[2,4,88],[2,6,84],[3,5,88],[3,6,88],[4,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=7,(1,2)=23,(0,4)=30,(2,3)=31,(0,5)=32,(1,6)=48,(1,3)=80,(2,6)=84,(0,1)=85,(2,4)=88,(3,5)=88,(3,6)=88,(4,6)=89]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=30\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=60\",\"Find(2)=1, Find(3)=3, Add (2,3)=31 Succeeded, w=91\",\"Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=123\",\"Find(1)=1, Find(6)=0, Add (1,6)=48 Succeeded, w=171\",\"Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=171\",\"Find(2)=1, Find(6)=1, Add (2,6)=84 Failed, w=171\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=171\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=171\",\"Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=171\",\"Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=171\",\"Find(4)=1, Find(6)=1, Add (4,6)=89 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,30],[0,5,32],[0,6,7],[1,2,23],[1,3,80],[1,6,48],[2,3,31],[2,4,88],[2,6,84],[3,5,88],[3,6,88],[4,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=7,(1,2)=23,(0,4)=30,(2,3)=31,(0,5)=32,(1,6)=48,(1,3)=80,(2,6)=84,(0,1)=85,(2,4)=88,(3,5)=88,(3,6)=88,(4,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 0}, Find(2)=1, Find(3)=3, Add (2,3)=31 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=48 Succeeded, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=84 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=171\",\"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=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=89 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,70],[0,3,16],[0,4,44],[0,5,30],[1,3,3],[1,4,12],[2,3,32],[2,4,10],[2,5,76],[3,4,28],[3,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,70],[0,3,16],[0,4,44],[0,5,30],[1,3,3],[1,4,12],[2,3,32],[2,4,10],[2,5,76],[3,4,28],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,70],[0,3,16],[0,4,44],[0,5,30],[1,3,3],[1,4,12],[2,3,32],[2,4,10],[2,5,76],[3,4,28],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,3)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,70],[0,3,16],[0,4,44],[0,5,30],[1,3,3],[1,4,12],[2,3,32],[2,4,10],[2,5,76],[3,4,28],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (2,4)=10, w=13\",\"Add (1,4)=12, w=25\",\"Add (3,5)=15, w=40\",\"Add (0,3)=16, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,70],[0,3,16],[0,4,44],[0,5,30],[1,3,3],[1,4,12],[2,3,32],[2,4,10],[2,5,76],[3,4,28],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (2,4)=10 Succeeded, w=13\",\"Add (1,4)=12 Succeeded, w=25\",\"Add (3,5)=15 Succeeded, w=40\",\"Add (0,3)=16 Succeeded, w=56\",\"Add (3,4)=28 Failed, w=56\",\"Add (0,5)=30 Failed, w=56\",\"Add (2,3)=32 Failed, w=56\",\"Add (0,1)=41 Failed, w=56\",\"Add (0,4)=44 Failed, w=56\",\"Add (0,2)=70 Failed, w=56\",\"Add (2,5)=76 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,70],[0,3,16],[0,4,44],[0,5,30],[1,3,3],[1,4,12],[2,3,32],[2,4,10],[2,5,76],[3,4,28],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,4)=10,(1,4)=12,(3,5)=15,(0,3)=16,(3,4)=28,(0,5)=30,(2,3)=32,(0,1)=41,(0,4)=44,(0,2)=70,(2,5)=76]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=13\",\"Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=25\",\"Find(3)=1, Find(5)=5, Add (3,5)=15 Succeeded, w=40\",\"Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=56\",\"Find(3)=1, Find(4)=1, Add (3,4)=28 Failed, w=56\",\"Find(0)=1, Find(5)=1, Add (0,5)=30 Failed, w=56\",\"Find(2)=1, Find(3)=1, Add (2,3)=32 Failed, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=56\",\"Find(0)=1, Find(4)=1, Add (0,4)=44 Failed, w=56\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=56\",\"Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,70],[0,3,16],[0,4,44],[0,5,30],[1,3,3],[1,4,12],[2,3,32],[2,4,10],[2,5,76],[3,4,28],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,4)=10,(1,4)=12,(3,5)=15,(0,3)=16,(3,4)=28,(0,5)=30,(2,3)=32,(0,1)=41,(0,4)=44,(0,2)=70,(2,5)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=15 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=28 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=30 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=32 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=44 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,48],[0,3,97],[2,3,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,97],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,97],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,97],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=36, w=36\",\"Add (0,1)=48, w=84\",\"Add (0,3)=97, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,97],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=36 Succeeded, w=36\",\"Add (0,1)=48 Succeeded, w=84\",\"Add (0,3)=97 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,97],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=36,(0,1)=48,(0,3)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=84\",\"Find(0)=0, Find(3)=2, Add (0,3)=97 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,97],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=36,(0,1)=48,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=97 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,95],[0,2,97],[0,3,79],[0,4,6],[1,2,64],[1,3,8],[1,4,26],[2,3,48],[2,4,66],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,97],[0,3,79],[0,4,6],[1,2,64],[1,3,8],[1,4,26],[2,3,48],[2,4,66],[3,4,94]]}",
"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\":[[0,1,95],[0,2,97],[0,3,79],[0,4,6],[1,2,64],[1,3,8],[1,4,26],[2,3,48],[2,4,66],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,97],[0,3,79],[0,4,6],[1,2,64],[1,3,8],[1,4,26],[2,3,48],[2,4,66],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (1,3)=8, w=14\",\"Add (1,4)=26, w=40\",\"Add (2,3)=48, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,97],[0,3,79],[0,4,6],[1,2,64],[1,3,8],[1,4,26],[2,3,48],[2,4,66],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (1,3)=8 Succeeded, w=14\",\"Add (1,4)=26 Succeeded, w=40\",\"Add (2,3)=48 Succeeded, w=88\",\"Add (1,2)=64 Failed, w=88\",\"Add (2,4)=66 Failed, w=88\",\"Add (0,3)=79 Failed, w=88\",\"Add (3,4)=94 Failed, w=88\",\"Add (0,1)=95 Failed, w=88\",\"Add (0,2)=97 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\":[[0,1,95],[0,2,97],[0,3,79],[0,4,6],[1,2,64],[1,3,8],[1,4,26],[2,3,48],[2,4,66],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(1,3)=8,(1,4)=26,(2,3)=48,(1,2)=64,(2,4)=66,(0,3)=79,(3,4)=94,(0,1)=95,(0,2)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=14\",\"Find(1)=1, Find(4)=0, Add (1,4)=26 Succeeded, w=40\",\"Find(2)=2, Find(3)=1, Add (2,3)=48 Succeeded, w=88\",\"Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=88\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=88\",\"Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=88\",\"Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=88\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=88\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 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\":[[0,1,95],[0,2,97],[0,3,79],[0,4,6],[1,2,64],[1,3,8],[1,4,26],[2,3,48],[2,4,66],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(1,3)=8,(1,4)=26,(2,3)=48,(1,2)=64,(2,4)=66,(0,3)=79,(3,4)=94,(0,1)=95,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=26 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=2, Find(3)=1, Add (2,3)=48 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,35],[1,5,41],[1,7,59],[2,3,41],[2,6,10],[2,7,66],[3,4,27],[3,6,42],[3,7,23],[4,5,63],[4,7,10],[5,7,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[1,5,41],[1,7,59],[2,3,41],[2,6,10],[2,7,66],[3,4,27],[3,6,42],[3,7,23],[4,5,63],[4,7,10],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[1,5,41],[1,7,59],[2,3,41],[2,6,10],[2,7,66],[3,4,27],[3,6,42],[3,7,23],[4,5,63],[4,7,10],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (4,7)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (5,7)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[1,5,41],[1,7,59],[2,3,41],[2,6,10],[2,7,66],[3,4,27],[3,6,42],[3,7,23],[4,5,63],[4,7,10],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=10, w=10\",\"Add (4,7)=10, w=20\",\"Add (3,7)=23, w=43\",\"Add (0,1)=35, w=78\",\"Add (5,7)=40, w=118\",\"Add (1,5)=41, w=159\",\"Add (2,3)=41, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[1,5,41],[1,7,59],[2,3,41],[2,6,10],[2,7,66],[3,4,27],[3,6,42],[3,7,23],[4,5,63],[4,7,10],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=10 Succeeded, w=10\",\"Add (4,7)=10 Succeeded, w=20\",\"Add (3,7)=23 Succeeded, w=43\",\"Add (3,4)=27 Failed, w=43\",\"Add (0,1)=35 Succeeded, w=78\",\"Add (5,7)=40 Succeeded, w=118\",\"Add (1,5)=41 Succeeded, w=159\",\"Add (2,3)=41 Succeeded, w=200\",\"Add (3,6)=42 Failed, w=200\",\"Add (1,7)=59 Failed, w=200\",\"Add (4,5)=63 Failed, w=200\",\"Add (2,7)=66 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[1,5,41],[1,7,59],[2,3,41],[2,6,10],[2,7,66],[3,4,27],[3,6,42],[3,7,23],[4,5,63],[4,7,10],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=10,(4,7)=10,(3,7)=23,(3,4)=27,(0,1)=35,(5,7)=40,(1,5)=41,(2,3)=41,(3,6)=42,(1,7)=59,(4,5)=63,(2,7)=66]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=10\",\"Find(4)=4, Find(7)=7, Add (4,7)=10 Succeeded, w=20\",\"Find(3)=3, Find(7)=4, Add (3,7)=23 Succeeded, w=43\",\"Find(3)=4, Find(4)=4, Add (3,4)=27 Failed, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=78\",\"Find(5)=5, Find(7)=4, Add (5,7)=40 Succeeded, w=118\",\"Find(1)=0, Find(5)=4, Add (1,5)=41 Succeeded, w=159\",\"Find(2)=2, Find(3)=0, Add (2,3)=41 Succeeded, w=200\",\"Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=200\",\"Find(1)=0, Find(7)=0, Add (1,7)=59 Failed, w=200\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=200\",\"Find(2)=0, Find(7)=0, Add (2,7)=66 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[1,5,41],[1,7,59],[2,3,41],[2,6,10],[2,7,66],[3,4,27],[3,6,42],[3,7,23],[4,5,63],[4,7,10],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=10,(4,7)=10,(3,7)=23,(3,4)=27,(0,1)=35,(5,7)=40,(1,5)=41,(2,3)=41,(3,6)=42,(1,7)=59,(4,5)=63,(2,7)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 2, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=23 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 2, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=27 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 5, 6: 2, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4, 6: 2, 7: 4}, Find(5)=5, Find(7)=4, Add (5,7)=40 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 0, 5: 4, 6: 2, 7: 4}, Find(1)=0, Find(5)=4, Add (1,5)=41 Succeeded, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 2, 7: 4}, Find(2)=2, Find(3)=0, Add (2,3)=41 Succeeded, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 4}, Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=59 Failed, w=200\",\"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)=63 Failed, w=200\",\"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)=66 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,5],[0,4,23],[1,2,70],[1,4,28],[1,5,10],[2,4,69],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,23],[1,2,70],[1,4,28],[1,5,10],[2,4,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,23],[1,2,70],[1,4,28],[1,5,10],[2,4,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,23],[1,2,70],[1,4,28],[1,5,10],[2,4,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,5)=10, w=15\",\"Add (0,4)=23, w=38\",\"Add (1,4)=28, w=66\",\"Add (3,4)=83, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,23],[1,2,70],[1,4,28],[1,5,10],[2,4,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,5)=10 Succeeded, w=15\",\"Add (0,4)=23 Succeeded, w=38\",\"Add (1,4)=28 Succeeded, w=66\",\"Add (2,4)=69 Failed, w=66\",\"Add (1,2)=70 Failed, w=66\",\"Add (3,4)=83 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,23],[1,2,70],[1,4,28],[1,5,10],[2,4,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,5)=10,(0,4)=23,(1,4)=28,(2,4)=69,(1,2)=70,(3,4)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=15\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=38\",\"Find(1)=1, Find(4)=0, Add (1,4)=28 Succeeded, w=66\",\"Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=66\",\"Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=66\",\"Find(3)=3, Find(4)=1, Add (3,4)=83 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,23],[1,2,70],[1,4,28],[1,5,10],[2,4,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,5)=10,(0,4)=23,(1,4)=28,(2,4)=69,(1,2)=70,(3,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, 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: 1}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(4)=0, Add (1,4)=28 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=83 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,21],[0,3,57],[0,4,23],[0,5,58],[0,7,52],[1,2,7],[1,3,38],[1,4,48],[1,5,72],[1,6,35],[1,7,53],[2,3,20],[2,4,86],[2,5,5],[2,6,28],[2,7,54],[3,4,50],[3,5,0],[3,6,35],[3,7,87],[4,5,53],[4,6,79],[4,7,85],[5,6,68],[5,7,34],[6,7,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,21],[0,3,57],[0,4,23],[0,5,58],[0,7,52],[1,2,7],[1,3,38],[1,4,48],[1,5,72],[1,6,35],[1,7,53],[2,3,20],[2,4,86],[2,5,5],[2,6,28],[2,7,54],[3,4,50],[3,5,0],[3,6,35],[3,7,87],[4,5,53],[4,6,79],[4,7,85],[5,6,68],[5,7,34],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,21],[0,3,57],[0,4,23],[0,5,58],[0,7,52],[1,2,7],[1,3,38],[1,4,48],[1,5,72],[1,6,35],[1,7,53],[2,3,20],[2,4,86],[2,5,5],[2,6,28],[2,7,54],[3,4,50],[3,5,0],[3,6,35],[3,7,87],[4,5,53],[4,6,79],[4,7,85],[5,6,68],[5,7,34],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (6,7)\",\"Add (2,6)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,21],[0,3,57],[0,4,23],[0,5,58],[0,7,52],[1,2,7],[1,3,38],[1,4,48],[1,5,72],[1,6,35],[1,7,53],[2,3,20],[2,4,86],[2,5,5],[2,6,28],[2,7,54],[3,4,50],[3,5,0],[3,6,35],[3,7,87],[4,5,53],[4,6,79],[4,7,85],[5,6,68],[5,7,34],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (2,5)=5, w=5\",\"Add (1,2)=7, w=12\",\"Add (0,2)=21, w=33\",\"Add (0,4)=23, w=56\",\"Add (6,7)=24, w=80\",\"Add (2,6)=28, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,21],[0,3,57],[0,4,23],[0,5,58],[0,7,52],[1,2,7],[1,3,38],[1,4,48],[1,5,72],[1,6,35],[1,7,53],[2,3,20],[2,4,86],[2,5,5],[2,6,28],[2,7,54],[3,4,50],[3,5,0],[3,6,35],[3,7,87],[4,5,53],[4,6,79],[4,7,85],[5,6,68],[5,7,34],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (2,5)=5 Succeeded, w=5\",\"Add (1,2)=7 Succeeded, w=12\",\"Add (2,3)=20 Failed, w=12\",\"Add (0,2)=21 Succeeded, w=33\",\"Add (0,4)=23 Succeeded, w=56\",\"Add (6,7)=24 Succeeded, w=80\",\"Add (2,6)=28 Succeeded, w=108\",\"Add (5,7)=34 Failed, w=108\",\"Add (1,6)=35 Failed, w=108\",\"Add (3,6)=35 Failed, w=108\",\"Add (1,3)=38 Failed, w=108\",\"Add (1,4)=48 Failed, w=108\",\"Add (3,4)=50 Failed, w=108\",\"Add (0,7)=52 Failed, w=108\",\"Add (1,7)=53 Failed, w=108\",\"Add (4,5)=53 Failed, w=108\",\"Add (2,7)=54 Failed, w=108\",\"Add (0,3)=57 Failed, w=108\",\"Add (0,5)=58 Failed, w=108\",\"Add (0,1)=60 Failed, w=108\",\"Add (5,6)=68 Failed, w=108\",\"Add (1,5)=72 Failed, w=108\",\"Add (4,6)=79 Failed, w=108\",\"Add (4,7)=85 Failed, w=108\",\"Add (2,4)=86 Failed, w=108\",\"Add (3,7)=87 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,21],[0,3,57],[0,4,23],[0,5,58],[0,7,52],[1,2,7],[1,3,38],[1,4,48],[1,5,72],[1,6,35],[1,7,53],[2,3,20],[2,4,86],[2,5,5],[2,6,28],[2,7,54],[3,4,50],[3,5,0],[3,6,35],[3,7,87],[4,5,53],[4,6,79],[4,7,85],[5,6,68],[5,7,34],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(2,5)=5,(1,2)=7,(2,3)=20,(0,2)=21,(0,4)=23,(6,7)=24,(2,6)=28,(5,7)=34,(1,6)=35,(3,6)=35,(1,3)=38,(1,4)=48,(3,4)=50,(0,7)=52,(1,7)=53,(4,5)=53,(2,7)=54,(0,3)=57,(0,5)=58,(0,1)=60,(5,6)=68,(1,5)=72,(4,6)=79,(4,7)=85,(2,4)=86,(3,7)=87]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=3, Add (2,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=3, Add (1,2)=7 Succeeded, w=12\",\"Find(2)=3, Find(3)=3, Add (2,3)=20 Failed, w=12\",\"Find(0)=0, Find(2)=3, Add (0,2)=21 Succeeded, w=33\",\"Find(0)=3, Find(4)=4, Add (0,4)=23 Succeeded, w=56\",\"Find(6)=6, Find(7)=7, Add (6,7)=24 Succeeded, w=80\",\"Find(2)=3, Find(6)=6, Add (2,6)=28 Succeeded, w=108\",\"Find(5)=3, Find(7)=3, Add (5,7)=34 Failed, w=108\",\"Find(1)=3, Find(6)=3, Add (1,6)=35 Failed, w=108\",\"Find(3)=3, Find(6)=3, Add (3,6)=35 Failed, w=108\",\"Find(1)=3, Find(3)=3, Add (1,3)=38 Failed, w=108\",\"Find(1)=3, Find(4)=3, Add (1,4)=48 Failed, w=108\",\"Find(3)=3, Find(4)=3, Add (3,4)=50 Failed, w=108\",\"Find(0)=3, Find(7)=3, Add (0,7)=52 Failed, w=108\",\"Find(1)=3, Find(7)=3, Add (1,7)=53 Failed, w=108\",\"Find(4)=3, Find(5)=3, Add (4,5)=53 Failed, w=108\",\"Find(2)=3, Find(7)=3, Add (2,7)=54 Failed, w=108\",\"Find(0)=3, Find(3)=3, Add (0,3)=57 Failed, w=108\",\"Find(0)=3, Find(5)=3, Add (0,5)=58 Failed, w=108\",\"Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=108\",\"Find(5)=3, Find(6)=3, Add (5,6)=68 Failed, w=108\",\"Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=108\",\"Find(4)=3, Find(6)=3, Add (4,6)=79 Failed, w=108\",\"Find(4)=3, Find(7)=3, Add (4,7)=85 Failed, w=108\",\"Find(2)=3, Find(4)=3, Add (2,4)=86 Failed, w=108\",\"Find(3)=3, Find(7)=3, Add (3,7)=87 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,21],[0,3,57],[0,4,23],[0,5,58],[0,7,52],[1,2,7],[1,3,38],[1,4,48],[1,5,72],[1,6,35],[1,7,53],[2,3,20],[2,4,86],[2,5,5],[2,6,28],[2,7,54],[3,4,50],[3,5,0],[3,6,35],[3,7,87],[4,5,53],[4,6,79],[4,7,85],[5,6,68],[5,7,34],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(2,5)=5,(1,2)=7,(2,3)=20,(0,2)=21,(0,4)=23,(6,7)=24,(2,6)=28,(5,7)=34,(1,6)=35,(3,6)=35,(1,3)=38,(1,4)=48,(3,4)=50,(0,7)=52,(1,7)=53,(4,5)=53,(2,7)=54,(0,3)=57,(0,5)=58,(0,1)=60,(5,6)=68,(1,5)=72,(4,6)=79,(4,7)=85,(2,4)=86,(3,7)=87]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(2)=2, Find(5)=3, Add (2,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(1)=1, Find(2)=3, Add (1,2)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(2)=3, Find(3)=3, Add (2,3)=20 Failed, w=12\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(2)=3, Add (0,2)=21 Succeeded, w=33\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(0)=3, Find(4)=4, Add (0,4)=23 Succeeded, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=24 Succeeded, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(2)=3, Find(6)=6, Add (2,6)=28 Succeeded, w=108\",\"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)=34 Failed, w=108\",\"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)=35 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=35 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=38 Failed, w=108\",\"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)=48 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=50 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=52 Failed, w=108\",\"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)=53 Failed, w=108\",\"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)=53 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=54 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=57 Failed, w=108\",\"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)=58 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=108\",\"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)=68 Failed, w=108\",\"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)=72 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=79 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=85 Failed, w=108\",\"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)=86 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=87 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,32],[0,2,81],[0,3,65],[0,4,14],[0,6,16],[0,7,63],[1,2,28],[1,3,44],[1,4,31],[1,5,38],[1,6,8],[1,7,70],[2,3,50],[2,6,92],[2,7,45],[3,6,16],[3,7,82],[4,5,18],[4,6,27],[4,7,32],[5,6,99],[5,7,45],[6,7,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,81],[0,3,65],[0,4,14],[0,6,16],[0,7,63],[1,2,28],[1,3,44],[1,4,31],[1,5,38],[1,6,8],[1,7,70],[2,3,50],[2,6,92],[2,7,45],[3,6,16],[3,7,82],[4,5,18],[4,6,27],[4,7,32],[5,6,99],[5,7,45],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,81],[0,3,65],[0,4,14],[0,6,16],[0,7,63],[1,2,28],[1,3,44],[1,4,31],[1,5,38],[1,6,8],[1,7,70],[2,3,50],[2,6,92],[2,7,45],[3,6,16],[3,7,82],[4,5,18],[4,6,27],[4,7,32],[5,6,99],[5,7,45],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (1,2)\",\"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\":[[0,1,32],[0,2,81],[0,3,65],[0,4,14],[0,6,16],[0,7,63],[1,2,28],[1,3,44],[1,4,31],[1,5,38],[1,6,8],[1,7,70],[2,3,50],[2,6,92],[2,7,45],[3,6,16],[3,7,82],[4,5,18],[4,6,27],[4,7,32],[5,6,99],[5,7,45],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8, w=8\",\"Add (0,4)=14, w=22\",\"Add (0,6)=16, w=38\",\"Add (3,6)=16, w=54\",\"Add (4,5)=18, w=72\",\"Add (1,2)=28, w=100\",\"Add (6,7)=28, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,81],[0,3,65],[0,4,14],[0,6,16],[0,7,63],[1,2,28],[1,3,44],[1,4,31],[1,5,38],[1,6,8],[1,7,70],[2,3,50],[2,6,92],[2,7,45],[3,6,16],[3,7,82],[4,5,18],[4,6,27],[4,7,32],[5,6,99],[5,7,45],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8 Succeeded, w=8\",\"Add (0,4)=14 Succeeded, w=22\",\"Add (0,6)=16 Succeeded, w=38\",\"Add (3,6)=16 Succeeded, w=54\",\"Add (4,5)=18 Succeeded, w=72\",\"Add (4,6)=27 Failed, w=72\",\"Add (1,2)=28 Succeeded, w=100\",\"Add (6,7)=28 Succeeded, w=128\",\"Add (1,4)=31 Failed, w=128\",\"Add (0,1)=32 Failed, w=128\",\"Add (4,7)=32 Failed, w=128\",\"Add (1,5)=38 Failed, w=128\",\"Add (1,3)=44 Failed, w=128\",\"Add (2,7)=45 Failed, w=128\",\"Add (5,7)=45 Failed, w=128\",\"Add (2,3)=50 Failed, w=128\",\"Add (0,7)=63 Failed, w=128\",\"Add (0,3)=65 Failed, w=128\",\"Add (1,7)=70 Failed, w=128\",\"Add (0,2)=81 Failed, w=128\",\"Add (3,7)=82 Failed, w=128\",\"Add (2,6)=92 Failed, w=128\",\"Add (5,6)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,81],[0,3,65],[0,4,14],[0,6,16],[0,7,63],[1,2,28],[1,3,44],[1,4,31],[1,5,38],[1,6,8],[1,7,70],[2,3,50],[2,6,92],[2,7,45],[3,6,16],[3,7,82],[4,5,18],[4,6,27],[4,7,32],[5,6,99],[5,7,45],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(0,4)=14,(0,6)=16,(3,6)=16,(4,5)=18,(4,6)=27,(1,2)=28,(6,7)=28,(1,4)=31,(0,1)=32,(4,7)=32,(1,5)=38,(1,3)=44,(2,7)=45,(5,7)=45,(2,3)=50,(0,7)=63,(0,3)=65,(1,7)=70,(0,2)=81,(3,7)=82,(2,6)=92,(5,6)=99]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=22\",\"Find(0)=0, Find(6)=1, Add (0,6)=16 Succeeded, w=38\",\"Find(3)=3, Find(6)=0, Add (3,6)=16 Succeeded, w=54\",\"Find(4)=0, Find(5)=5, Add (4,5)=18 Succeeded, w=72\",\"Find(4)=0, Find(6)=0, Add (4,6)=27 Failed, w=72\",\"Find(1)=0, Find(2)=2, Add (1,2)=28 Succeeded, w=100\",\"Find(6)=0, Find(7)=7, Add (6,7)=28 Succeeded, w=128\",\"Find(1)=0, Find(4)=0, Add (1,4)=31 Failed, w=128\",\"Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=128\",\"Find(4)=0, Find(7)=0, Add (4,7)=32 Failed, w=128\",\"Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=128\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=128\",\"Find(2)=0, Find(7)=0, Add (2,7)=45 Failed, w=128\",\"Find(5)=0, Find(7)=0, Add (5,7)=45 Failed, w=128\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=128\",\"Find(0)=0, Find(7)=0, Add (0,7)=63 Failed, w=128\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=128\",\"Find(1)=0, Find(7)=0, Add (1,7)=70 Failed, w=128\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=128\",\"Find(3)=0, Find(7)=0, Add (3,7)=82 Failed, w=128\",\"Find(2)=0, Find(6)=0, Add (2,6)=92 Failed, w=128\",\"Find(5)=0, Find(6)=0, Add (5,6)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,81],[0,3,65],[0,4,14],[0,6,16],[0,7,63],[1,2,28],[1,3,44],[1,4,31],[1,5,38],[1,6,8],[1,7,70],[2,3,50],[2,6,92],[2,7,45],[3,6,16],[3,7,82],[4,5,18],[4,6,27],[4,7,32],[5,6,99],[5,7,45],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(0,4)=14,(0,6)=16,(3,6)=16,(4,5)=18,(4,6)=27,(1,2)=28,(6,7)=28,(1,4)=31,(0,1)=32,(4,7)=32,(1,5)=38,(1,3)=44,(2,7)=45,(5,7)=45,(2,3)=50,(0,7)=63,(0,3)=65,(1,7)=70,(0,2)=81,(3,7)=82,(2,6)=92,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(3)=3, Find(6)=0, Add (3,6)=16 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=18 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(6)=0, Add (4,6)=27 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=28 Succeeded, w=100\",\"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)=28 Succeeded, w=128\",\"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)=31 Failed, w=128\",\"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)=32 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)=32 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)=38 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)=44 Failed, 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)=45 Failed, w=128\",\"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)=45 Failed, w=128\",\"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)=50 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)=63 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)=65 Failed, w=128\",\"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)=70 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)=81 Failed, w=128\",\"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)=82 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)=92 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)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,44],[0,2,63],[0,3,24],[0,4,54],[1,2,65],[1,4,74],[2,3,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,63],[0,3,24],[0,4,54],[1,2,65],[1,4,74],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,63],[0,3,24],[0,4,54],[1,2,65],[1,4,74],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,63],[0,3,24],[0,4,54],[1,2,65],[1,4,74],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24, w=24\",\"Add (2,3)=34, w=58\",\"Add (0,1)=44, w=102\",\"Add (0,4)=54, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,63],[0,3,24],[0,4,54],[1,2,65],[1,4,74],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24 Succeeded, w=24\",\"Add (2,3)=34 Succeeded, w=58\",\"Add (0,1)=44 Succeeded, w=102\",\"Add (0,4)=54 Succeeded, w=156\",\"Add (0,2)=63 Failed, w=156\",\"Add (1,2)=65 Failed, w=156\",\"Add (1,4)=74 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,63],[0,3,24],[0,4,54],[1,2,65],[1,4,74],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(2,3)=34,(0,1)=44,(0,4)=54,(0,2)=63,(1,2)=65,(1,4)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=58\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=102\",\"Find(0)=0, Find(4)=4, Add (0,4)=54 Succeeded, w=156\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=156\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=156\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,63],[0,3,24],[0,4,54],[1,2,65],[1,4,74],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(2,3)=34,(0,1)=44,(0,4)=54,(0,2)=63,(1,2)=65,(1,4)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=54 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,2,95],[0,3,80],[0,4,75],[0,5,12],[1,2,61],[1,3,98],[1,4,60],[2,4,45],[2,5,46],[3,4,85],[3,5,82],[4,5,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,95],[0,3,80],[0,4,75],[0,5,12],[1,2,61],[1,3,98],[1,4,60],[2,4,45],[2,5,46],[3,4,85],[3,5,82],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,95],[0,3,80],[0,4,75],[0,5,12],[1,2,61],[1,3,98],[1,4,60],[2,4,45],[2,5,46],[3,4,85],[3,5,82],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,95],[0,3,80],[0,4,75],[0,5,12],[1,2,61],[1,3,98],[1,4,60],[2,4,45],[2,5,46],[3,4,85],[3,5,82],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=12, w=12\",\"Add (2,4)=45, w=57\",\"Add (2,5)=46, w=103\",\"Add (1,4)=60, w=163\",\"Add (0,3)=80, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,95],[0,3,80],[0,4,75],[0,5,12],[1,2,61],[1,3,98],[1,4,60],[2,4,45],[2,5,46],[3,4,85],[3,5,82],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=12 Succeeded, w=12\",\"Add (2,4)=45 Succeeded, w=57\",\"Add (2,5)=46 Succeeded, w=103\",\"Add (4,5)=46 Failed, w=103\",\"Add (1,4)=60 Succeeded, w=163\",\"Add (1,2)=61 Failed, w=163\",\"Add (0,4)=75 Failed, w=163\",\"Add (0,3)=80 Succeeded, w=243\",\"Add (3,5)=82 Failed, w=243\",\"Add (3,4)=85 Failed, w=243\",\"Add (0,1)=91 Failed, w=243\",\"Add (0,2)=95 Failed, w=243\",\"Add (1,3)=98 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,95],[0,3,80],[0,4,75],[0,5,12],[1,2,61],[1,3,98],[1,4,60],[2,4,45],[2,5,46],[3,4,85],[3,5,82],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=12,(2,4)=45,(2,5)=46,(4,5)=46,(1,4)=60,(1,2)=61,(0,4)=75,(0,3)=80,(3,5)=82,(3,4)=85,(0,1)=91,(0,2)=95,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=45 Succeeded, w=57\",\"Find(2)=2, Find(5)=0, Add (2,5)=46 Succeeded, w=103\",\"Find(4)=2, Find(5)=2, Add (4,5)=46 Failed, w=103\",\"Find(1)=1, Find(4)=2, Add (1,4)=60 Succeeded, w=163\",\"Find(1)=2, Find(2)=2, Add (1,2)=61 Failed, w=163\",\"Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=163\",\"Find(0)=2, Find(3)=3, Add (0,3)=80 Succeeded, w=243\",\"Find(3)=2, Find(5)=2, Add (3,5)=82 Failed, w=243\",\"Find(3)=2, Find(4)=2, Add (3,4)=85 Failed, w=243\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=243\",\"Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=243\",\"Find(1)=2, Find(3)=2, Add (1,3)=98 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,95],[0,3,80],[0,4,75],[0,5,12],[1,2,61],[1,3,98],[1,4,60],[2,4,45],[2,5,46],[3,4,85],[3,5,82],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=12,(2,4)=45,(2,5)=46,(4,5)=46,(1,4)=60,(1,2)=61,(0,4)=75,(0,3)=80,(3,5)=82,(3,4)=85,(0,1)=91,(0,2)=95,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(2)=2, Find(4)=4, Add (2,4)=45 Succeeded, w=57\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=46 Succeeded, w=103\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=46 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=60 Succeeded, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=61 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=3, Add (0,3)=80 Succeeded, w=243\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=82 Failed, w=243\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=85 Failed, w=243\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=243\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=243\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=98 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,4,31],[1,2,26],[1,4,97],[1,5,67],[2,5,37],[3,4,67],[4,5,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,31],[1,2,26],[1,4,97],[1,5,67],[2,5,37],[3,4,67],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,31],[1,2,26],[1,4,97],[1,5,67],[2,5,37],[3,4,67],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,31],[1,2,26],[1,4,97],[1,5,67],[2,5,37],[3,4,67],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=26, w=26\",\"Add (0,4)=31, w=57\",\"Add (2,5)=37, w=94\",\"Add (0,1)=58, w=152\",\"Add (3,4)=67, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,31],[1,2,26],[1,4,97],[1,5,67],[2,5,37],[3,4,67],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=26 Succeeded, w=26\",\"Add (0,4)=31 Succeeded, w=57\",\"Add (2,5)=37 Succeeded, w=94\",\"Add (0,1)=58 Succeeded, w=152\",\"Add (4,5)=62 Failed, w=152\",\"Add (1,5)=67 Failed, w=152\",\"Add (3,4)=67 Succeeded, w=219\",\"Add (1,4)=97 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,31],[1,2,26],[1,4,97],[1,5,67],[2,5,37],[3,4,67],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=26,(0,4)=31,(2,5)=37,(0,1)=58,(4,5)=62,(1,5)=67,(3,4)=67,(1,4)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=26\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=57\",\"Find(2)=1, Find(5)=5, Add (2,5)=37 Succeeded, w=94\",\"Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=152\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=152\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=152\",\"Find(3)=3, Find(4)=0, Add (3,4)=67 Succeeded, w=219\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,31],[1,2,26],[1,4,97],[1,5,67],[2,5,37],[3,4,67],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=26,(0,4)=31,(2,5)=37,(0,1)=58,(4,5)=62,(1,5)=67,(3,4)=67,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=37 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=67 Succeeded, w=219\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,51],[0,2,70],[0,3,67],[1,2,25],[1,3,67],[2,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,70],[0,3,67],[1,2,25],[1,3,67],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,70],[0,3,67],[1,2,25],[1,3,67],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,70],[0,3,67],[1,2,25],[1,3,67],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (1,2)=25, w=43\",\"Add (0,1)=51, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,70],[0,3,67],[1,2,25],[1,3,67],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (1,2)=25 Succeeded, w=43\",\"Add (0,1)=51 Succeeded, w=94\",\"Add (0,3)=67 Failed, w=94\",\"Add (1,3)=67 Failed, w=94\",\"Add (0,2)=70 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,70],[0,3,67],[1,2,25],[1,3,67],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(1,2)=25,(0,1)=51,(0,3)=67,(1,3)=67,(0,2)=70]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=43\",\"Find(0)=0, Find(1)=2, Add (0,1)=51 Succeeded, w=94\",\"Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=94\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=94\",\"Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,70],[0,3,67],[1,2,25],[1,3,67],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(1,2)=25,(0,1)=51,(0,3)=67,(1,3)=67,(0,2)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=51 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,14],[0,3,76],[0,4,81],[0,5,73],[0,6,94],[0,7,29],[1,3,36],[1,4,53],[1,7,82],[2,7,63],[3,5,38],[4,5,96],[4,6,97],[5,6,67],[5,7,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,76],[0,4,81],[0,5,73],[0,6,94],[0,7,29],[1,3,36],[1,4,53],[1,7,82],[2,7,63],[3,5,38],[4,5,96],[4,6,97],[5,6,67],[5,7,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,76],[0,4,81],[0,5,73],[0,6,94],[0,7,29],[1,3,36],[1,4,53],[1,7,82],[2,7,63],[3,5,38],[4,5,96],[4,6,97],[5,6,67],[5,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (5,7)\",\"Add (0,7)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (5,6)\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,76],[0,4,81],[0,5,73],[0,6,94],[0,7,29],[1,3,36],[1,4,53],[1,7,82],[2,7,63],[3,5,38],[4,5,96],[4,6,97],[5,6,67],[5,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (5,7)=17, w=31\",\"Add (0,7)=29, w=60\",\"Add (1,3)=36, w=96\",\"Add (3,5)=38, w=134\",\"Add (1,4)=53, w=187\",\"Add (5,6)=67, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,76],[0,4,81],[0,5,73],[0,6,94],[0,7,29],[1,3,36],[1,4,53],[1,7,82],[2,7,63],[3,5,38],[4,5,96],[4,6,97],[5,6,67],[5,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (5,7)=17 Succeeded, w=31\",\"Add (0,7)=29 Succeeded, w=60\",\"Add (1,3)=36 Succeeded, w=96\",\"Add (3,5)=38 Succeeded, w=134\",\"Add (1,4)=53 Succeeded, w=187\",\"Add (2,7)=63 Failed, w=187\",\"Add (5,6)=67 Succeeded, w=254\",\"Add (0,5)=73 Failed, w=254\",\"Add (0,3)=76 Failed, w=254\",\"Add (0,4)=81 Failed, w=254\",\"Add (1,7)=82 Failed, w=254\",\"Add (0,6)=94 Failed, w=254\",\"Add (4,5)=96 Failed, w=254\",\"Add (4,6)=97 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,76],[0,4,81],[0,5,73],[0,6,94],[0,7,29],[1,3,36],[1,4,53],[1,7,82],[2,7,63],[3,5,38],[4,5,96],[4,6,97],[5,6,67],[5,7,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(5,7)=17,(0,7)=29,(1,3)=36,(3,5)=38,(1,4)=53,(2,7)=63,(5,6)=67,(0,5)=73,(0,3)=76,(0,4)=81,(1,7)=82,(0,6)=94,(4,5)=96,(4,6)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(5)=5, Find(7)=7, Add (5,7)=17 Succeeded, w=31\",\"Find(0)=0, Find(7)=5, Add (0,7)=29 Succeeded, w=60\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=96\",\"Find(3)=1, Find(5)=0, Add (3,5)=38 Succeeded, w=134\",\"Find(1)=0, Find(4)=4, Add (1,4)=53 Succeeded, w=187\",\"Find(2)=0, Find(7)=0, Add (2,7)=63 Failed, w=187\",\"Find(5)=0, Find(6)=6, Add (5,6)=67 Succeeded, w=254\",\"Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=254\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=254\",\"Find(0)=0, Find(4)=0, Add (0,4)=81 Failed, w=254\",\"Find(1)=0, Find(7)=0, Add (1,7)=82 Failed, w=254\",\"Find(0)=0, Find(6)=0, Add (0,6)=94 Failed, w=254\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=254\",\"Find(4)=0, Find(6)=0, Add (4,6)=97 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,76],[0,4,81],[0,5,73],[0,6,94],[0,7,29],[1,3,36],[1,4,53],[1,7,82],[2,7,63],[3,5,38],[4,5,96],[4,6,97],[5,6,67],[5,7,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(5,7)=17,(0,7)=29,(1,3)=36,(3,5)=38,(1,4)=53,(2,7)=63,(5,6)=67,(0,5)=73,(0,3)=76,(0,4)=81,(1,7)=82,(0,6)=94,(4,5)=96,(4,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=29 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 6, 7: 5}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0, 6: 6, 7: 5}, Find(3)=1, Find(5)=0, Add (3,5)=38 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 6, 7: 5}, Find(1)=0, Find(4)=4, Add (1,4)=53 Succeeded, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=63 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=6, Add (5,6)=67 Succeeded, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=254\",\"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=254\",\"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)=81 Failed, w=254\",\"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)=82 Failed, w=254\",\"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)=94 Failed, w=254\",\"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)=96 Failed, w=254\",\"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=254\"],\"Answer\":254}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,60],[1,2,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,60],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,60],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,60],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=60, w=60\",\"Add (1,2)=97, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,60],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=60 Succeeded, w=60\",\"Add (1,2)=97 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,60],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=60,(1,2)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=60 Succeeded, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=97 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,60],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=60,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=60 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=97 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,21],[0,2,46],[0,3,78],[0,4,66],[1,2,28],[1,3,30],[1,4,9],[2,3,61],[2,4,15],[3,4,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,46],[0,3,78],[0,4,66],[1,2,28],[1,3,30],[1,4,9],[2,3,61],[2,4,15],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,46],[0,3,78],[0,4,66],[1,2,28],[1,3,30],[1,4,9],[2,3,61],[2,4,15],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,46],[0,3,78],[0,4,66],[1,2,28],[1,3,30],[1,4,9],[2,3,61],[2,4,15],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=9, w=9\",\"Add (2,4)=15, w=24\",\"Add (0,1)=21, w=45\",\"Add (1,3)=30, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,46],[0,3,78],[0,4,66],[1,2,28],[1,3,30],[1,4,9],[2,3,61],[2,4,15],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=9 Succeeded, w=9\",\"Add (2,4)=15 Succeeded, w=24\",\"Add (0,1)=21 Succeeded, w=45\",\"Add (1,2)=28 Failed, w=45\",\"Add (1,3)=30 Succeeded, w=75\",\"Add (3,4)=39 Failed, w=75\",\"Add (0,2)=46 Failed, w=75\",\"Add (2,3)=61 Failed, w=75\",\"Add (0,4)=66 Failed, w=75\",\"Add (0,3)=78 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,46],[0,3,78],[0,4,66],[1,2,28],[1,3,30],[1,4,9],[2,3,61],[2,4,15],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=9,(2,4)=15,(0,1)=21,(1,2)=28,(1,3)=30,(3,4)=39,(0,2)=46,(2,3)=61,(0,4)=66,(0,3)=78]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=1, Add (2,4)=15 Succeeded, w=24\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=45\",\"Find(1)=1, Find(2)=1, Add (1,2)=28 Failed, w=45\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=75\",\"Find(3)=1, Find(4)=1, Add (3,4)=39 Failed, w=75\",\"Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=75\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=75\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=75\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,46],[0,3,78],[0,4,66],[1,2,28],[1,3,30],[1,4,9],[2,3,61],[2,4,15],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=9,(2,4)=15,(0,1)=21,(1,2)=28,(1,3)=30,(3,4)=39,(0,2)=46,(2,3)=61,(0,4)=66,(0,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=15 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=28 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=39 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,12],[0,2,56],[0,3,71],[0,6,96],[1,2,11],[1,5,92],[2,3,35],[2,4,1],[2,5,3],[3,4,72],[3,5,64],[4,5,30],[5,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,71],[0,6,96],[1,2,11],[1,5,92],[2,3,35],[2,4,1],[2,5,3],[3,4,72],[3,5,64],[4,5,30],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,71],[0,6,96],[1,2,11],[1,5,92],[2,3,35],[2,4,1],[2,5,3],[3,4,72],[3,5,64],[4,5,30],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (5,6)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,71],[0,6,96],[1,2,11],[1,5,92],[2,3,35],[2,4,1],[2,5,3],[3,4,72],[3,5,64],[4,5,30],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (2,5)=3, w=4\",\"Add (1,2)=11, w=15\",\"Add (0,1)=12, w=27\",\"Add (2,3)=35, w=62\",\"Add (5,6)=48, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,71],[0,6,96],[1,2,11],[1,5,92],[2,3,35],[2,4,1],[2,5,3],[3,4,72],[3,5,64],[4,5,30],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (2,5)=3 Succeeded, w=4\",\"Add (1,2)=11 Succeeded, w=15\",\"Add (0,1)=12 Succeeded, w=27\",\"Add (4,5)=30 Failed, w=27\",\"Add (2,3)=35 Succeeded, w=62\",\"Add (5,6)=48 Succeeded, w=110\",\"Add (0,2)=56 Failed, w=110\",\"Add (3,5)=64 Failed, w=110\",\"Add (0,3)=71 Failed, w=110\",\"Add (3,4)=72 Failed, w=110\",\"Add (1,5)=92 Failed, w=110\",\"Add (0,6)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,71],[0,6,96],[1,2,11],[1,5,92],[2,3,35],[2,4,1],[2,5,3],[3,4,72],[3,5,64],[4,5,30],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(2,5)=3,(1,2)=11,(0,1)=12,(4,5)=30,(2,3)=35,(5,6)=48,(0,2)=56,(3,5)=64,(0,3)=71,(3,4)=72,(1,5)=92,(0,6)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=15\",\"Find(0)=0, Find(1)=2, Add (0,1)=12 Succeeded, w=27\",\"Find(4)=2, Find(5)=2, Add (4,5)=30 Failed, w=27\",\"Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=62\",\"Find(5)=2, Find(6)=6, Add (5,6)=48 Succeeded, w=110\",\"Find(0)=2, Find(2)=2, Add (0,2)=56 Failed, w=110\",\"Find(3)=2, Find(5)=2, Add (3,5)=64 Failed, w=110\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=110\",\"Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=110\",\"Find(1)=2, Find(5)=2, Add (1,5)=92 Failed, w=110\",\"Find(0)=2, Find(6)=2, Add (0,6)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,56],[0,3,71],[0,6,96],[1,2,11],[1,5,92],[2,3,35],[2,4,1],[2,5,3],[3,4,72],[3,5,64],[4,5,30],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(2,5)=3,(1,2)=11,(0,1)=12,(4,5)=30,(2,3)=35,(5,6)=48,(0,2)=56,(3,5)=64,(0,3)=71,(3,4)=72,(1,5)=92,(0,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(0)=0, Find(1)=2, Add (0,1)=12 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(4)=2, Find(5)=2, Add (4,5)=30 Failed, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=48 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=56 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=64 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=92 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,2,53],[0,3,98],[0,5,36],[0,6,24],[1,2,14],[1,3,39],[1,4,98],[1,5,24],[4,5,86],[4,6,27],[5,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,53],[0,3,98],[0,5,36],[0,6,24],[1,2,14],[1,3,39],[1,4,98],[1,5,24],[4,5,86],[4,6,27],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,53],[0,3,98],[0,5,36],[0,6,24],[1,2,14],[1,3,39],[1,4,98],[1,5,24],[4,5,86],[4,6,27],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (4,6)\",\"Add (1,3)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,53],[0,3,98],[0,5,36],[0,6,24],[1,2,14],[1,3,39],[1,4,98],[1,5,24],[4,5,86],[4,6,27],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=3, w=3\",\"Add (1,2)=14, w=17\",\"Add (0,6)=24, w=41\",\"Add (1,5)=24, w=65\",\"Add (4,6)=27, w=92\",\"Add (1,3)=39, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,53],[0,3,98],[0,5,36],[0,6,24],[1,2,14],[1,3,39],[1,4,98],[1,5,24],[4,5,86],[4,6,27],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=3 Succeeded, w=3\",\"Add (1,2)=14 Succeeded, w=17\",\"Add (0,6)=24 Succeeded, w=41\",\"Add (1,5)=24 Succeeded, w=65\",\"Add (4,6)=27 Succeeded, w=92\",\"Add (0,5)=36 Failed, w=92\",\"Add (1,3)=39 Succeeded, w=131\",\"Add (0,1)=48 Failed, w=131\",\"Add (0,2)=53 Failed, w=131\",\"Add (4,5)=86 Failed, w=131\",\"Add (0,3)=98 Failed, w=131\",\"Add (1,4)=98 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,53],[0,3,98],[0,5,36],[0,6,24],[1,2,14],[1,3,39],[1,4,98],[1,5,24],[4,5,86],[4,6,27],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=3,(1,2)=14,(0,6)=24,(1,5)=24,(4,6)=27,(0,5)=36,(1,3)=39,(0,1)=48,(0,2)=53,(4,5)=86,(0,3)=98,(1,4)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=17\",\"Find(0)=0, Find(6)=5, Add (0,6)=24 Succeeded, w=41\",\"Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=65\",\"Find(4)=4, Find(6)=1, Add (4,6)=27 Succeeded, w=92\",\"Find(0)=1, Find(5)=1, Add (0,5)=36 Failed, w=92\",\"Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=131\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=131\",\"Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=131\",\"Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=131\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=131\",\"Find(1)=1, Find(4)=1, Add (1,4)=98 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,53],[0,3,98],[0,5,36],[0,6,24],[1,2,14],[1,3,39],[1,4,98],[1,5,24],[4,5,86],[4,6,27],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=3,(1,2)=14,(0,6)=24,(1,5)=24,(4,6)=27,(0,5)=36,(1,3)=39,(0,1)=48,(0,2)=53,(4,5)=86,(0,3)=98,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=17\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=24 Succeeded, w=41\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=65\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=27 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=36 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=98 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,19],[0,2,26],[0,3,77],[1,2,57],[1,3,53],[2,3,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,26],[0,3,77],[1,2,57],[1,3,53],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,26],[0,3,77],[1,2,57],[1,3,53],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,26],[0,3,77],[1,2,57],[1,3,53],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=19, w=19\",\"Add (0,2)=26, w=45\",\"Add (1,3)=53, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,26],[0,3,77],[1,2,57],[1,3,53],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=19 Succeeded, w=19\",\"Add (0,2)=26 Succeeded, w=45\",\"Add (1,3)=53 Succeeded, w=98\",\"Add (2,3)=53 Failed, w=98\",\"Add (1,2)=57 Failed, w=98\",\"Add (0,3)=77 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,26],[0,3,77],[1,2,57],[1,3,53],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=19,(0,2)=26,(1,3)=53,(2,3)=53,(1,2)=57,(0,3)=77]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=45\",\"Find(1)=0, Find(3)=3, Add (1,3)=53 Succeeded, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=98\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,26],[0,3,77],[1,2,57],[1,3,53],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=19,(0,2)=26,(1,3)=53,(2,3)=53,(1,2)=57,(0,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=53 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,2,60],[0,3,85],[0,4,39],[0,5,94],[0,6,26],[0,7,1],[1,2,37],[1,3,62],[1,5,14],[1,6,84],[1,7,85],[2,3,8],[2,4,80],[2,5,78],[2,6,100],[2,7,5],[3,4,32],[3,5,64],[3,6,61],[3,7,69],[4,5,45],[4,6,18],[4,7,54],[5,6,94],[5,7,11],[6,7,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,60],[0,3,85],[0,4,39],[0,5,94],[0,6,26],[0,7,1],[1,2,37],[1,3,62],[1,5,14],[1,6,84],[1,7,85],[2,3,8],[2,4,80],[2,5,78],[2,6,100],[2,7,5],[3,4,32],[3,5,64],[3,6,61],[3,7,69],[4,5,45],[4,6,18],[4,7,54],[5,6,94],[5,7,11],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,60],[0,3,85],[0,4,39],[0,5,94],[0,6,26],[0,7,1],[1,2,37],[1,3,62],[1,5,14],[1,6,84],[1,7,85],[2,3,8],[2,4,80],[2,5,78],[2,6,100],[2,7,5],[3,4,32],[3,5,64],[3,6,61],[3,7,69],[4,5,45],[4,6,18],[4,7,54],[5,6,94],[5,7,11],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (2,7)\",\"Add (2,3)\",\"Add (5,7)\",\"Add (1,5)\",\"Add (6,7)\",\"Add (4,6)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,60],[0,3,85],[0,4,39],[0,5,94],[0,6,26],[0,7,1],[1,2,37],[1,3,62],[1,5,14],[1,6,84],[1,7,85],[2,3,8],[2,4,80],[2,5,78],[2,6,100],[2,7,5],[3,4,32],[3,5,64],[3,6,61],[3,7,69],[4,5,45],[4,6,18],[4,7,54],[5,6,94],[5,7,11],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1, w=1\",\"Add (2,7)=5, w=6\",\"Add (2,3)=8, w=14\",\"Add (5,7)=11, w=25\",\"Add (1,5)=14, w=39\",\"Add (6,7)=17, w=56\",\"Add (4,6)=18, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,60],[0,3,85],[0,4,39],[0,5,94],[0,6,26],[0,7,1],[1,2,37],[1,3,62],[1,5,14],[1,6,84],[1,7,85],[2,3,8],[2,4,80],[2,5,78],[2,6,100],[2,7,5],[3,4,32],[3,5,64],[3,6,61],[3,7,69],[4,5,45],[4,6,18],[4,7,54],[5,6,94],[5,7,11],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1 Succeeded, w=1\",\"Add (2,7)=5 Succeeded, w=6\",\"Add (2,3)=8 Succeeded, w=14\",\"Add (5,7)=11 Succeeded, w=25\",\"Add (1,5)=14 Succeeded, w=39\",\"Add (6,7)=17 Succeeded, w=56\",\"Add (4,6)=18 Succeeded, w=74\",\"Add (0,6)=26 Failed, w=74\",\"Add (3,4)=32 Failed, w=74\",\"Add (1,2)=37 Failed, w=74\",\"Add (0,4)=39 Failed, w=74\",\"Add (4,5)=45 Failed, w=74\",\"Add (0,1)=51 Failed, w=74\",\"Add (4,7)=54 Failed, w=74\",\"Add (0,2)=60 Failed, w=74\",\"Add (3,6)=61 Failed, w=74\",\"Add (1,3)=62 Failed, w=74\",\"Add (3,5)=64 Failed, w=74\",\"Add (3,7)=69 Failed, w=74\",\"Add (2,5)=78 Failed, w=74\",\"Add (2,4)=80 Failed, w=74\",\"Add (1,6)=84 Failed, w=74\",\"Add (0,3)=85 Failed, w=74\",\"Add (1,7)=85 Failed, w=74\",\"Add (0,5)=94 Failed, w=74\",\"Add (5,6)=94 Failed, w=74\",\"Add (2,6)=100 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,60],[0,3,85],[0,4,39],[0,5,94],[0,6,26],[0,7,1],[1,2,37],[1,3,62],[1,5,14],[1,6,84],[1,7,85],[2,3,8],[2,4,80],[2,5,78],[2,6,100],[2,7,5],[3,4,32],[3,5,64],[3,6,61],[3,7,69],[4,5,45],[4,6,18],[4,7,54],[5,6,94],[5,7,11],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(2,7)=5,(2,3)=8,(5,7)=11,(1,5)=14,(6,7)=17,(4,6)=18,(0,6)=26,(3,4)=32,(1,2)=37,(0,4)=39,(4,5)=45,(0,1)=51,(4,7)=54,(0,2)=60,(3,6)=61,(1,3)=62,(3,5)=64,(3,7)=69,(2,5)=78,(2,4)=80,(1,6)=84,(0,3)=85,(1,7)=85,(0,5)=94,(5,6)=94,(2,6)=100]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=1 Succeeded, w=1\",\"Find(2)=2, Find(7)=0, Add (2,7)=5 Succeeded, w=6\",\"Find(2)=0, Find(3)=3, Add (2,3)=8 Succeeded, w=14\",\"Find(5)=5, Find(7)=0, Add (5,7)=11 Succeeded, w=25\",\"Find(1)=1, Find(5)=0, Add (1,5)=14 Succeeded, w=39\",\"Find(6)=6, Find(7)=0, Add (6,7)=17 Succeeded, w=56\",\"Find(4)=4, Find(6)=0, Add (4,6)=18 Succeeded, w=74\",\"Find(0)=0, Find(6)=0, Add (0,6)=26 Failed, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=32 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=74\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=74\",\"Find(4)=0, Find(7)=0, Add (4,7)=54 Failed, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=74\",\"Find(3)=0, Find(6)=0, Add (3,6)=61 Failed, w=74\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=74\",\"Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=74\",\"Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=74\",\"Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=74\",\"Find(1)=0, Find(7)=0, Add (1,7)=85 Failed, w=74\",\"Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=74\",\"Find(5)=0, Find(6)=0, Add (5,6)=94 Failed, w=74\",\"Find(2)=0, Find(6)=0, Add (2,6)=100 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,60],[0,3,85],[0,4,39],[0,5,94],[0,6,26],[0,7,1],[1,2,37],[1,3,62],[1,5,14],[1,6,84],[1,7,85],[2,3,8],[2,4,80],[2,5,78],[2,6,100],[2,7,5],[3,4,32],[3,5,64],[3,6,61],[3,7,69],[4,5,45],[4,6,18],[4,7,54],[5,6,94],[5,7,11],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(2,7)=5,(2,3)=8,(5,7)=11,(1,5)=14,(6,7)=17,(4,6)=18,(0,6)=26,(3,4)=32,(1,2)=37,(0,4)=39,(4,5)=45,(0,1)=51,(4,7)=54,(0,2)=60,(3,6)=61,(1,3)=62,(3,5)=64,(3,7)=69,(2,5)=78,(2,4)=80,(1,6)=84,(0,3)=85,(1,7)=85,(0,5)=94,(5,6)=94,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(2)=0, Find(3)=3, Add (2,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=11 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(5)=0, Add (1,5)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=17 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=18 Succeeded, w=74\",\"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)=26 Failed, w=74\",\"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)=32 Failed, w=74\",\"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)=37 Failed, w=74\",\"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)=39 Failed, w=74\",\"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)=45 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=74\",\"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)=54 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=61 Failed, w=74\",\"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)=62 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=74\",\"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)=69 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=74\",\"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)=84 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=85 Failed, w=74\",\"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)=94 Failed, w=74\",\"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=74\",\"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)=100 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,33],[0,3,19],[0,4,20],[0,5,40],[0,6,30],[0,7,58],[1,2,20],[1,3,68],[1,4,80],[1,5,37],[1,6,38],[1,7,3],[2,4,74],[2,5,74],[3,4,36],[3,6,50],[4,5,97],[4,7,86],[5,7,17],[6,7,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,33],[0,3,19],[0,4,20],[0,5,40],[0,6,30],[0,7,58],[1,2,20],[1,3,68],[1,4,80],[1,5,37],[1,6,38],[1,7,3],[2,4,74],[2,5,74],[3,4,36],[3,6,50],[4,5,97],[4,7,86],[5,7,17],[6,7,57]]}",
"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\":[[0,1,4],[0,2,33],[0,3,19],[0,4,20],[0,5,40],[0,6,30],[0,7,58],[1,2,20],[1,3,68],[1,4,80],[1,5,37],[1,6,38],[1,7,3],[2,4,74],[2,5,74],[3,4,36],[3,6,50],[4,5,97],[4,7,86],[5,7,17],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (0,1)\",\"Add (5,7)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (0,6)\"],\"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\":[[0,1,4],[0,2,33],[0,3,19],[0,4,20],[0,5,40],[0,6,30],[0,7,58],[1,2,20],[1,3,68],[1,4,80],[1,5,37],[1,6,38],[1,7,3],[2,4,74],[2,5,74],[3,4,36],[3,6,50],[4,5,97],[4,7,86],[5,7,17],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=3, w=3\",\"Add (0,1)=4, w=7\",\"Add (5,7)=17, w=24\",\"Add (0,3)=19, w=43\",\"Add (0,4)=20, w=63\",\"Add (1,2)=20, w=83\",\"Add (0,6)=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\":[[0,1,4],[0,2,33],[0,3,19],[0,4,20],[0,5,40],[0,6,30],[0,7,58],[1,2,20],[1,3,68],[1,4,80],[1,5,37],[1,6,38],[1,7,3],[2,4,74],[2,5,74],[3,4,36],[3,6,50],[4,5,97],[4,7,86],[5,7,17],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=3 Succeeded, w=3\",\"Add (0,1)=4 Succeeded, w=7\",\"Add (5,7)=17 Succeeded, w=24\",\"Add (0,3)=19 Succeeded, w=43\",\"Add (0,4)=20 Succeeded, w=63\",\"Add (1,2)=20 Succeeded, w=83\",\"Add (0,6)=30 Succeeded, w=113\",\"Add (0,2)=33 Failed, w=113\",\"Add (3,4)=36 Failed, w=113\",\"Add (1,5)=37 Failed, w=113\",\"Add (1,6)=38 Failed, w=113\",\"Add (0,5)=40 Failed, w=113\",\"Add (3,6)=50 Failed, w=113\",\"Add (6,7)=57 Failed, w=113\",\"Add (0,7)=58 Failed, w=113\",\"Add (1,3)=68 Failed, w=113\",\"Add (2,4)=74 Failed, w=113\",\"Add (2,5)=74 Failed, w=113\",\"Add (1,4)=80 Failed, w=113\",\"Add (4,7)=86 Failed, w=113\",\"Add (4,5)=97 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\":[[0,1,4],[0,2,33],[0,3,19],[0,4,20],[0,5,40],[0,6,30],[0,7,58],[1,2,20],[1,3,68],[1,4,80],[1,5,37],[1,6,38],[1,7,3],[2,4,74],[2,5,74],[3,4,36],[3,6,50],[4,5,97],[4,7,86],[5,7,17],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=3,(0,1)=4,(5,7)=17,(0,3)=19,(0,4)=20,(1,2)=20,(0,6)=30,(0,2)=33,(3,4)=36,(1,5)=37,(1,6)=38,(0,5)=40,(3,6)=50,(6,7)=57,(0,7)=58,(1,3)=68,(2,4)=74,(2,5)=74,(1,4)=80,(4,7)=86,(4,5)=97]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Find(5)=5, Find(7)=1, Add (5,7)=17 Succeeded, w=24\",\"Find(0)=1, Find(3)=3, Add (0,3)=19 Succeeded, w=43\",\"Find(0)=1, Find(4)=4, Add (0,4)=20 Succeeded, w=63\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=83\",\"Find(0)=1, Find(6)=6, Add (0,6)=30 Succeeded, w=113\",\"Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=113\",\"Find(3)=1, Find(4)=1, Add (3,4)=36 Failed, w=113\",\"Find(1)=1, Find(5)=1, Add (1,5)=37 Failed, w=113\",\"Find(1)=1, Find(6)=1, Add (1,6)=38 Failed, w=113\",\"Find(0)=1, Find(5)=1, Add (0,5)=40 Failed, w=113\",\"Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=113\",\"Find(6)=1, Find(7)=1, Add (6,7)=57 Failed, w=113\",\"Find(0)=1, Find(7)=1, Add (0,7)=58 Failed, w=113\",\"Find(1)=1, Find(3)=1, Add (1,3)=68 Failed, w=113\",\"Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=113\",\"Find(2)=1, Find(5)=1, Add (2,5)=74 Failed, w=113\",\"Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=113\",\"Find(4)=1, Find(7)=1, Add (4,7)=86 Failed, w=113\",\"Find(4)=1, Find(5)=1, Add (4,5)=97 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\":[[0,1,4],[0,2,33],[0,3,19],[0,4,20],[0,5,40],[0,6,30],[0,7,58],[1,2,20],[1,3,68],[1,4,80],[1,5,37],[1,6,38],[1,7,3],[2,4,74],[2,5,74],[3,4,36],[3,6,50],[4,5,97],[4,7,86],[5,7,17],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=3,(0,1)=4,(5,7)=17,(0,3)=19,(0,4)=20,(1,2)=20,(0,6)=30,(0,2)=33,(3,4)=36,(1,5)=37,(1,6)=38,(0,5)=40,(3,6)=50,(6,7)=57,(0,7)=58,(1,3)=68,(2,4)=74,(2,5)=74,(1,4)=80,(4,7)=86,(4,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=17 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(3)=3, Add (0,3)=19 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(4)=4, Add (0,4)=20 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=6, Add (0,6)=30 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=113\",\"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)=36 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=37 Failed, w=113\",\"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)=38 Failed, w=113\",\"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)=40 Failed, w=113\",\"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)=50 Failed, w=113\",\"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)=57 Failed, w=113\",\"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)=58 Failed, w=113\",\"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)=68 Failed, w=113\",\"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)=74 Failed, w=113\",\"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)=74 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=86 Failed, w=113\",\"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=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,2,94],[0,3,42],[0,4,98],[1,2,58],[1,4,95],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,94],[0,3,42],[0,4,98],[1,2,58],[1,4,95],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,94],[0,3,42],[0,4,98],[1,2,58],[1,4,95],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,94],[0,3,42],[0,4,98],[1,2,58],[1,4,95],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (0,3)=42, w=52\",\"Add (1,2)=58, w=110\",\"Add (1,4)=95, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,94],[0,3,42],[0,4,98],[1,2,58],[1,4,95],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (0,3)=42 Succeeded, w=52\",\"Add (1,2)=58 Succeeded, w=110\",\"Add (0,1)=74 Failed, w=110\",\"Add (0,2)=94 Failed, w=110\",\"Add (1,4)=95 Succeeded, w=205\",\"Add (0,4)=98 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,94],[0,3,42],[0,4,98],[1,2,58],[1,4,95],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(0,3)=42,(1,2)=58,(0,1)=74,(0,2)=94,(1,4)=95,(0,4)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=2, Add (0,3)=42 Succeeded, w=52\",\"Find(1)=1, Find(2)=2, Add (1,2)=58 Succeeded, w=110\",\"Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=110\",\"Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=110\",\"Find(1)=2, Find(4)=4, Add (1,4)=95 Succeeded, w=205\",\"Find(0)=2, Find(4)=2, Add (0,4)=98 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,94],[0,3,42],[0,4,98],[1,2,58],[1,4,95],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(0,3)=42,(1,2)=58,(0,1)=74,(0,2)=94,(1,4)=95,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=42 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=58 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=4, Add (1,4)=95 Succeeded, w=205\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=98 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,48],[0,3,95],[1,3,21],[2,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,48],[0,3,95],[1,3,21],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,48],[0,3,95],[1,3,21],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,48],[0,3,95],[1,3,21],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21, w=21\",\"Add (0,2)=48, w=69\",\"Add (2,3)=87, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,48],[0,3,95],[1,3,21],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21 Succeeded, w=21\",\"Add (0,2)=48 Succeeded, w=69\",\"Add (2,3)=87 Succeeded, w=156\",\"Add (0,3)=95 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,48],[0,3,95],[1,3,21],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(0,2)=48,(2,3)=87,(0,3)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=69\",\"Find(2)=0, Find(3)=1, Add (2,3)=87 Succeeded, w=156\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,48],[0,3,95],[1,3,21],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(0,2)=48,(2,3)=87,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=87 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,83],[0,2,52],[0,3,78],[1,2,100],[1,3,98],[2,3,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,52],[0,3,78],[1,2,100],[1,3,98],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,52],[0,3,78],[1,2,100],[1,3,98],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,52],[0,3,78],[1,2,100],[1,3,98],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=52, w=52\",\"Add (2,3)=53, w=105\",\"Add (0,1)=83, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,52],[0,3,78],[1,2,100],[1,3,98],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=52 Succeeded, w=52\",\"Add (2,3)=53 Succeeded, w=105\",\"Add (0,3)=78 Failed, w=105\",\"Add (0,1)=83 Succeeded, w=188\",\"Add (1,3)=98 Failed, w=188\",\"Add (1,2)=100 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,52],[0,3,78],[1,2,100],[1,3,98],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=52,(2,3)=53,(0,3)=78,(0,1)=83,(1,3)=98,(1,2)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=52\",\"Find(2)=0, Find(3)=3, Add (2,3)=53 Succeeded, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=105\",\"Find(0)=0, Find(1)=1, Add (0,1)=83 Succeeded, w=188\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=188\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,52],[0,3,78],[1,2,100],[1,3,98],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=52,(2,3)=53,(0,3)=78,(0,1)=83,(1,3)=98,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=53 Succeeded, w=105\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=83 Succeeded, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,31],[0,3,39],[0,4,39],[0,5,49],[0,6,43],[1,3,46],[1,4,13],[1,5,94],[2,3,59],[2,4,40],[2,5,96],[2,6,69],[3,5,47],[3,6,89],[4,5,60],[4,6,75],[5,6,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,31],[0,3,39],[0,4,39],[0,5,49],[0,6,43],[1,3,46],[1,4,13],[1,5,94],[2,3,59],[2,4,40],[2,5,96],[2,6,69],[3,5,47],[3,6,89],[4,5,60],[4,6,75],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,31],[0,3,39],[0,4,39],[0,5,49],[0,6,43],[1,3,46],[1,4,13],[1,5,94],[2,3,59],[2,4,40],[2,5,96],[2,6,69],[3,5,47],[3,6,89],[4,5,60],[4,6,75],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (3,5)\"],\"Answer\":178}",
"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],[0,2,31],[0,3,39],[0,4,39],[0,5,49],[0,6,43],[1,3,46],[1,4,13],[1,5,94],[2,3,59],[2,4,40],[2,5,96],[2,6,69],[3,5,47],[3,6,89],[4,5,60],[4,6,75],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,4)=13, w=18\",\"Add (0,2)=31, w=49\",\"Add (0,3)=39, w=88\",\"Add (0,6)=43, w=131\",\"Add (3,5)=47, w=178\"],\"Answer\":178}",
"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],[0,2,31],[0,3,39],[0,4,39],[0,5,49],[0,6,43],[1,3,46],[1,4,13],[1,5,94],[2,3,59],[2,4,40],[2,5,96],[2,6,69],[3,5,47],[3,6,89],[4,5,60],[4,6,75],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,4)=13 Succeeded, w=18\",\"Add (0,2)=31 Succeeded, w=49\",\"Add (0,3)=39 Succeeded, w=88\",\"Add (0,4)=39 Failed, w=88\",\"Add (2,4)=40 Failed, w=88\",\"Add (0,6)=43 Succeeded, w=131\",\"Add (1,3)=46 Failed, w=131\",\"Add (3,5)=47 Succeeded, w=178\",\"Add (0,5)=49 Failed, w=178\",\"Add (2,3)=59 Failed, w=178\",\"Add (4,5)=60 Failed, w=178\",\"Add (2,6)=69 Failed, w=178\",\"Add (4,6)=75 Failed, w=178\",\"Add (5,6)=86 Failed, w=178\",\"Add (3,6)=89 Failed, w=178\",\"Add (1,5)=94 Failed, w=178\",\"Add (2,5)=96 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,31],[0,3,39],[0,4,39],[0,5,49],[0,6,43],[1,3,46],[1,4,13],[1,5,94],[2,3,59],[2,4,40],[2,5,96],[2,6,69],[3,5,47],[3,6,89],[4,5,60],[4,6,75],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,4)=13,(0,2)=31,(0,3)=39,(0,4)=39,(2,4)=40,(0,6)=43,(1,3)=46,(3,5)=47,(0,5)=49,(2,3)=59,(4,5)=60,(2,6)=69,(4,6)=75,(5,6)=86,(3,6)=89,(1,5)=94,(2,5)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(4)=4, Add (1,4)=13 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=49\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=88\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=88\",\"Find(0)=0, Find(6)=6, Add (0,6)=43 Succeeded, w=131\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=131\",\"Find(3)=0, Find(5)=5, Add (3,5)=47 Succeeded, w=178\",\"Find(0)=0, Find(5)=0, Add (0,5)=49 Failed, w=178\",\"Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=178\",\"Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=178\",\"Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=178\",\"Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=178\",\"Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=178\",\"Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=178\",\"Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=178\",\"Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,31],[0,3,39],[0,4,39],[0,5,49],[0,6,43],[1,3,46],[1,4,13],[1,5,94],[2,3,59],[2,4,40],[2,5,96],[2,6,69],[3,5,47],[3,6,89],[4,5,60],[4,6,75],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,4)=13,(0,2)=31,(0,3)=39,(0,4)=39,(2,4)=40,(0,6)=43,(1,3)=46,(3,5)=47,(0,5)=49,(2,3)=59,(4,5)=60,(2,6)=69,(4,6)=75,(5,6)=86,(3,6)=89,(1,5)=94,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=0, Find(4)=4, Add (1,4)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=43 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=47 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=49 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,81],[0,2,18],[0,3,94],[0,4,46],[1,2,63],[1,3,0],[2,3,38],[2,4,62],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,18],[0,3,94],[0,4,46],[1,2,63],[1,3,0],[2,3,38],[2,4,62],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,18],[0,3,94],[0,4,46],[1,2,63],[1,3,0],[2,3,38],[2,4,62],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,18],[0,3,94],[0,4,46],[1,2,63],[1,3,0],[2,3,38],[2,4,62],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,2)=18, w=18\",\"Add (2,3)=38, w=56\",\"Add (0,4)=46, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,18],[0,3,94],[0,4,46],[1,2,63],[1,3,0],[2,3,38],[2,4,62],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,2)=18 Succeeded, w=18\",\"Add (2,3)=38 Succeeded, w=56\",\"Add (0,4)=46 Succeeded, w=102\",\"Add (3,4)=54 Failed, w=102\",\"Add (2,4)=62 Failed, w=102\",\"Add (1,2)=63 Failed, w=102\",\"Add (0,1)=81 Failed, w=102\",\"Add (0,3)=94 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,18],[0,3,94],[0,4,46],[1,2,63],[1,3,0],[2,3,38],[2,4,62],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,2)=18,(2,3)=38,(0,4)=46,(3,4)=54,(2,4)=62,(1,2)=63,(0,1)=81,(0,3)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Find(2)=0, Find(3)=1, Add (2,3)=38 Succeeded, w=56\",\"Find(0)=0, Find(4)=4, Add (0,4)=46 Succeeded, w=102\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=102\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=102\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=102\",\"Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,18],[0,3,94],[0,4,46],[1,2,63],[1,3,0],[2,3,38],[2,4,62],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,2)=18,(2,3)=38,(0,4)=46,(3,4)=54,(2,4)=62,(1,2)=63,(0,1)=81,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(2)=0, Find(3)=1, Add (2,3)=38 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=46 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,90],[0,2,48],[0,3,34],[1,2,84],[1,3,1],[2,3,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,48],[0,3,34],[1,2,84],[1,3,1],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,48],[0,3,34],[1,2,84],[1,3,1],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,48],[0,3,34],[1,2,84],[1,3,1],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,3)=34, w=35\",\"Add (0,2)=48, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,48],[0,3,34],[1,2,84],[1,3,1],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,3)=34 Succeeded, w=35\",\"Add (0,2)=48 Succeeded, w=83\",\"Add (2,3)=65 Failed, w=83\",\"Add (1,2)=84 Failed, w=83\",\"Add (0,1)=90 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,48],[0,3,34],[1,2,84],[1,3,1],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,3)=34,(0,2)=48,(2,3)=65,(1,2)=84,(0,1)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=35\",\"Find(0)=1, Find(2)=2, Add (0,2)=48 Succeeded, w=83\",\"Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=83\",\"Find(1)=1, Find(2)=1, Add (1,2)=84 Failed, w=83\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,48],[0,3,34],[1,2,84],[1,3,1],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,3)=34,(0,2)=48,(2,3)=65,(1,2)=84,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=48 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=84 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,78],[0,3,7],[0,5,98],[1,2,42],[1,4,7],[2,4,90],[2,5,44],[3,4,43],[3,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,3,7],[0,5,98],[1,2,42],[1,4,7],[2,4,90],[2,5,44],[3,4,43],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,3,7],[0,5,98],[1,2,42],[1,4,7],[2,4,90],[2,5,44],[3,4,43],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,3,7],[0,5,98],[1,2,42],[1,4,7],[2,4,90],[2,5,44],[3,4,43],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (1,4)=7, w=14\",\"Add (1,2)=42, w=56\",\"Add (3,4)=43, w=99\",\"Add (2,5)=44, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,3,7],[0,5,98],[1,2,42],[1,4,7],[2,4,90],[2,5,44],[3,4,43],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (1,4)=7 Succeeded, w=14\",\"Add (1,2)=42 Succeeded, w=56\",\"Add (3,4)=43 Succeeded, w=99\",\"Add (2,5)=44 Succeeded, w=143\",\"Add (3,5)=73 Failed, w=143\",\"Add (0,1)=78 Failed, w=143\",\"Add (2,4)=90 Failed, w=143\",\"Add (0,5)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,3,7],[0,5,98],[1,2,42],[1,4,7],[2,4,90],[2,5,44],[3,4,43],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,4)=7,(1,2)=42,(3,4)=43,(2,5)=44,(3,5)=73,(0,1)=78,(2,4)=90,(0,5)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=56\",\"Find(3)=0, Find(4)=1, Add (3,4)=43 Succeeded, w=99\",\"Find(2)=0, Find(5)=5, Add (2,5)=44 Succeeded, w=143\",\"Find(3)=0, Find(5)=0, Add (3,5)=73 Failed, w=143\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=143\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=143\",\"Find(0)=0, Find(5)=0, Add (0,5)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,3,7],[0,5,98],[1,2,42],[1,4,7],[2,4,90],[2,5,44],[3,4,43],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,4)=7,(1,2)=42,(3,4)=43,(2,5)=44,(3,5)=73,(0,1)=78,(2,4)=90,(0,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 5}, Find(3)=0, Find(4)=1, Add (3,4)=43 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=44 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=73 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,57],[0,3,63],[0,4,97],[0,5,46],[1,2,47],[1,3,0],[1,5,54],[2,3,90],[2,4,98],[2,5,14],[3,4,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,63],[0,4,97],[0,5,46],[1,2,47],[1,3,0],[1,5,54],[2,3,90],[2,4,98],[2,5,14],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,63],[0,4,97],[0,5,46],[1,2,47],[1,3,0],[1,5,54],[2,3,90],[2,4,98],[2,5,14],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,63],[0,4,97],[0,5,46],[1,2,47],[1,3,0],[1,5,54],[2,3,90],[2,4,98],[2,5,14],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,5)=14, w=14\",\"Add (0,5)=46, w=60\",\"Add (1,2)=47, w=107\",\"Add (3,4)=70, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,63],[0,4,97],[0,5,46],[1,2,47],[1,3,0],[1,5,54],[2,3,90],[2,4,98],[2,5,14],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,5)=14 Succeeded, w=14\",\"Add (0,5)=46 Succeeded, w=60\",\"Add (1,2)=47 Succeeded, w=107\",\"Add (1,5)=54 Failed, w=107\",\"Add (0,1)=57 Failed, w=107\",\"Add (0,3)=63 Failed, w=107\",\"Add (3,4)=70 Succeeded, w=177\",\"Add (2,3)=90 Failed, w=177\",\"Add (0,4)=97 Failed, w=177\",\"Add (2,4)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,63],[0,4,97],[0,5,46],[1,2,47],[1,3,0],[1,5,54],[2,3,90],[2,4,98],[2,5,14],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,5)=14,(0,5)=46,(1,2)=47,(1,5)=54,(0,1)=57,(0,3)=63,(3,4)=70,(2,3)=90,(0,4)=97,(2,4)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=14\",\"Find(0)=0, Find(5)=2, Add (0,5)=46 Succeeded, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=107\",\"Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=107\",\"Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=107\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=107\",\"Find(3)=1, Find(4)=4, Add (3,4)=70 Succeeded, w=177\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=177\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=177\",\"Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,63],[0,4,97],[0,5,46],[1,2,47],[1,3,0],[1,5,54],[2,3,90],[2,4,98],[2,5,14],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,5)=14,(0,5)=46,(1,2)=47,(1,5)=54,(0,1)=57,(0,3)=63,(3,4)=70,(2,3)=90,(0,4)=97,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=46 Succeeded, w=60\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=107\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=4, Add (3,4)=70 Succeeded, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,86],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (0,3)=86, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (0,3)=86 Succeeded, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,3)=86]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=2, Add (0,3)=86 Succeeded, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=86 Succeeded, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,93],[0,4,62],[2,3,12],[2,4,19],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,93],[0,4,62],[2,3,12],[2,4,19],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,93],[0,4,62],[2,3,12],[2,4,19],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,93],[0,4,62],[2,3,12],[2,4,19],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (2,4)=19, w=31\",\"Add (0,4)=62, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,93],[0,4,62],[2,3,12],[2,4,19],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (2,4)=19 Succeeded, w=31\",\"Add (0,4)=62 Succeeded, w=93\",\"Add (3,4)=83 Failed, w=93\",\"Add (0,3)=93 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,93],[0,4,62],[2,3,12],[2,4,19],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(2,4)=19,(0,4)=62,(3,4)=83,(0,3)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=31\",\"Find(0)=0, Find(4)=2, Add (0,4)=62 Succeeded, w=93\",\"Find(3)=2, Find(4)=2, Add (3,4)=83 Failed, w=93\",\"Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,93],[0,4,62],[2,3,12],[2,4,19],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(2,4)=19,(0,4)=62,(3,4)=83,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=62 Succeeded, w=93\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=83 Failed, w=93\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,28],[0,4,7],[0,5,23],[1,2,71],[1,3,57],[1,4,46],[1,5,53],[1,6,55],[2,4,20],[2,6,98],[2,7,24],[3,4,87],[3,5,2],[3,6,77],[3,7,37],[4,5,83],[5,6,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,28],[0,4,7],[0,5,23],[1,2,71],[1,3,57],[1,4,46],[1,5,53],[1,6,55],[2,4,20],[2,6,98],[2,7,24],[3,4,87],[3,5,2],[3,6,77],[3,7,37],[4,5,83],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,28],[0,4,7],[0,5,23],[1,2,71],[1,3,57],[1,4,46],[1,5,53],[1,6,55],[2,4,20],[2,6,98],[2,7,24],[3,4,87],[3,5,2],[3,6,77],[3,7,37],[4,5,83],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (2,7)\",\"Add (5,6)\",\"Add (1,4)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,28],[0,4,7],[0,5,23],[1,2,71],[1,3,57],[1,4,46],[1,5,53],[1,6,55],[2,4,20],[2,6,98],[2,7,24],[3,4,87],[3,5,2],[3,6,77],[3,7,37],[4,5,83],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (0,4)=7, w=9\",\"Add (2,4)=20, w=29\",\"Add (0,5)=23, w=52\",\"Add (2,7)=24, w=76\",\"Add (5,6)=38, w=114\",\"Add (1,4)=46, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,28],[0,4,7],[0,5,23],[1,2,71],[1,3,57],[1,4,46],[1,5,53],[1,6,55],[2,4,20],[2,6,98],[2,7,24],[3,4,87],[3,5,2],[3,6,77],[3,7,37],[4,5,83],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (0,4)=7 Succeeded, w=9\",\"Add (2,4)=20 Succeeded, w=29\",\"Add (0,5)=23 Succeeded, w=52\",\"Add (2,7)=24 Succeeded, w=76\",\"Add (0,2)=28 Failed, w=76\",\"Add (3,7)=37 Failed, w=76\",\"Add (5,6)=38 Succeeded, w=114\",\"Add (1,4)=46 Succeeded, w=160\",\"Add (1,5)=53 Failed, w=160\",\"Add (1,6)=55 Failed, w=160\",\"Add (1,3)=57 Failed, w=160\",\"Add (1,2)=71 Failed, w=160\",\"Add (3,6)=77 Failed, w=160\",\"Add (4,5)=83 Failed, w=160\",\"Add (3,4)=87 Failed, w=160\",\"Add (2,6)=98 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,28],[0,4,7],[0,5,23],[1,2,71],[1,3,57],[1,4,46],[1,5,53],[1,6,55],[2,4,20],[2,6,98],[2,7,24],[3,4,87],[3,5,2],[3,6,77],[3,7,37],[4,5,83],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,4)=7,(2,4)=20,(0,5)=23,(2,7)=24,(0,2)=28,(3,7)=37,(5,6)=38,(1,4)=46,(1,5)=53,(1,6)=55,(1,3)=57,(1,2)=71,(3,6)=77,(4,5)=83,(3,4)=87,(2,6)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=9\",\"Find(2)=2, Find(4)=0, Add (2,4)=20 Succeeded, w=29\",\"Find(0)=0, Find(5)=3, Add (0,5)=23 Succeeded, w=52\",\"Find(2)=0, Find(7)=7, Add (2,7)=24 Succeeded, w=76\",\"Find(0)=0, Find(2)=0, Add (0,2)=28 Failed, w=76\",\"Find(3)=0, Find(7)=0, Add (3,7)=37 Failed, w=76\",\"Find(5)=0, Find(6)=6, Add (5,6)=38 Succeeded, w=114\",\"Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=160\",\"Find(1)=0, Find(5)=0, Add (1,5)=53 Failed, w=160\",\"Find(1)=0, Find(6)=0, Add (1,6)=55 Failed, w=160\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=160\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=160\",\"Find(3)=0, Find(6)=0, Add (3,6)=77 Failed, w=160\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=160\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=160\",\"Find(2)=0, Find(6)=0, Add (2,6)=98 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,28],[0,4,7],[0,5,23],[1,2,71],[1,3,57],[1,4,46],[1,5,53],[1,6,55],[2,4,20],[2,6,98],[2,7,24],[3,4,87],[3,5,2],[3,6,77],[3,7,37],[4,5,83],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,4)=7,(2,4)=20,(0,5)=23,(2,7)=24,(0,2)=28,(3,7)=37,(5,6)=38,(1,4)=46,(1,5)=53,(1,6)=55,(1,3)=57,(1,2)=71,(3,6)=77,(4,5)=83,(3,4)=87,(2,6)=98]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 6, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=20 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(5)=3, Add (0,5)=23 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=24 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=28 Failed, w=76\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=37 Failed, w=76\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=6, Add (5,6)=38 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=160\",\"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)=53 Failed, w=160\",\"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)=55 Failed, w=160\",\"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)=57 Failed, w=160\",\"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)=71 Failed, w=160\",\"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)=77 Failed, w=160\",\"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)=83 Failed, w=160\",\"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)=87 Failed, w=160\",\"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)=98 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,87],[0,2,50],[0,3,20],[0,4,23],[0,5,39],[1,2,49],[1,3,77],[1,5,7],[1,7,85],[2,3,38],[2,4,49],[2,6,60],[2,7,80],[3,4,65],[3,5,15],[3,6,51],[3,7,98],[4,5,43],[4,6,85],[4,7,31],[5,7,89],[6,7,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,50],[0,3,20],[0,4,23],[0,5,39],[1,2,49],[1,3,77],[1,5,7],[1,7,85],[2,3,38],[2,4,49],[2,6,60],[2,7,80],[3,4,65],[3,5,15],[3,6,51],[3,7,98],[4,5,43],[4,6,85],[4,7,31],[5,7,89],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,50],[0,3,20],[0,4,23],[0,5,39],[1,2,49],[1,3,77],[1,5,7],[1,7,85],[2,3,38],[2,4,49],[2,6,60],[2,7,80],[3,4,65],[3,5,15],[3,6,51],[3,7,98],[4,5,43],[4,6,85],[4,7,31],[5,7,89],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (4,7)\",\"Add (2,3)\",\"Add (6,7)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,50],[0,3,20],[0,4,23],[0,5,39],[1,2,49],[1,3,77],[1,5,7],[1,7,85],[2,3,38],[2,4,49],[2,6,60],[2,7,80],[3,4,65],[3,5,15],[3,6,51],[3,7,98],[4,5,43],[4,6,85],[4,7,31],[5,7,89],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (3,5)=15, w=22\",\"Add (0,3)=20, w=42\",\"Add (0,4)=23, w=65\",\"Add (4,7)=31, w=96\",\"Add (2,3)=38, w=134\",\"Add (6,7)=45, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,50],[0,3,20],[0,4,23],[0,5,39],[1,2,49],[1,3,77],[1,5,7],[1,7,85],[2,3,38],[2,4,49],[2,6,60],[2,7,80],[3,4,65],[3,5,15],[3,6,51],[3,7,98],[4,5,43],[4,6,85],[4,7,31],[5,7,89],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (3,5)=15 Succeeded, w=22\",\"Add (0,3)=20 Succeeded, w=42\",\"Add (0,4)=23 Succeeded, w=65\",\"Add (4,7)=31 Succeeded, w=96\",\"Add (2,3)=38 Succeeded, w=134\",\"Add (0,5)=39 Failed, w=134\",\"Add (4,5)=43 Failed, w=134\",\"Add (6,7)=45 Succeeded, w=179\",\"Add (1,2)=49 Failed, w=179\",\"Add (2,4)=49 Failed, w=179\",\"Add (0,2)=50 Failed, w=179\",\"Add (3,6)=51 Failed, w=179\",\"Add (2,6)=60 Failed, w=179\",\"Add (3,4)=65 Failed, w=179\",\"Add (1,3)=77 Failed, w=179\",\"Add (2,7)=80 Failed, w=179\",\"Add (1,7)=85 Failed, w=179\",\"Add (4,6)=85 Failed, w=179\",\"Add (0,1)=87 Failed, w=179\",\"Add (5,7)=89 Failed, w=179\",\"Add (3,7)=98 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,50],[0,3,20],[0,4,23],[0,5,39],[1,2,49],[1,3,77],[1,5,7],[1,7,85],[2,3,38],[2,4,49],[2,6,60],[2,7,80],[3,4,65],[3,5,15],[3,6,51],[3,7,98],[4,5,43],[4,6,85],[4,7,31],[5,7,89],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(3,5)=15,(0,3)=20,(0,4)=23,(4,7)=31,(2,3)=38,(0,5)=39,(4,5)=43,(6,7)=45,(1,2)=49,(2,4)=49,(0,2)=50,(3,6)=51,(2,6)=60,(3,4)=65,(1,3)=77,(2,7)=80,(1,7)=85,(4,6)=85,(0,1)=87,(5,7)=89,(3,7)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(3)=3, Find(5)=1, Add (3,5)=15 Succeeded, w=22\",\"Find(0)=0, Find(3)=1, Add (0,3)=20 Succeeded, w=42\",\"Find(0)=1, Find(4)=4, Add (0,4)=23 Succeeded, w=65\",\"Find(4)=1, Find(7)=7, Add (4,7)=31 Succeeded, w=96\",\"Find(2)=2, Find(3)=1, Add (2,3)=38 Succeeded, w=134\",\"Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=134\",\"Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=134\",\"Find(6)=6, Find(7)=1, Add (6,7)=45 Succeeded, w=179\",\"Find(1)=1, Find(2)=1, Add (1,2)=49 Failed, w=179\",\"Find(2)=1, Find(4)=1, Add (2,4)=49 Failed, w=179\",\"Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=179\",\"Find(3)=1, Find(6)=1, Add (3,6)=51 Failed, w=179\",\"Find(2)=1, Find(6)=1, Add (2,6)=60 Failed, w=179\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=179\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=179\",\"Find(2)=1, Find(7)=1, Add (2,7)=80 Failed, w=179\",\"Find(1)=1, Find(7)=1, Add (1,7)=85 Failed, w=179\",\"Find(4)=1, Find(6)=1, Add (4,6)=85 Failed, w=179\",\"Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=179\",\"Find(5)=1, Find(7)=1, Add (5,7)=89 Failed, w=179\",\"Find(3)=1, Find(7)=1, Add (3,7)=98 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,50],[0,3,20],[0,4,23],[0,5,39],[1,2,49],[1,3,77],[1,5,7],[1,7,85],[2,3,38],[2,4,49],[2,6,60],[2,7,80],[3,4,65],[3,5,15],[3,6,51],[3,7,98],[4,5,43],[4,6,85],[4,7,31],[5,7,89],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(3,5)=15,(0,3)=20,(0,4)=23,(4,7)=31,(2,3)=38,(0,5)=39,(4,5)=43,(6,7)=45,(1,2)=49,(2,4)=49,(0,2)=50,(3,6)=51,(2,6)=60,(3,4)=65,(1,3)=77,(2,7)=80,(1,7)=85,(4,6)=85,(0,1)=87,(5,7)=89,(3,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(5)=1, Add (3,5)=15 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(3)=1, Add (0,3)=20 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 7}, Find(0)=1, Find(4)=4, Add (0,4)=23 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=31 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=2, Find(3)=1, Add (2,3)=38 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=45 Succeeded, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=49 Failed, w=179\",\"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)=49 Failed, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=179\",\"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)=51 Failed, w=179\",\"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)=60 Failed, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=179\",\"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)=77 Failed, w=179\",\"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)=80 Failed, w=179\",\"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)=85 Failed, w=179\",\"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)=85 Failed, w=179\",\"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)=87 Failed, w=179\",\"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)=89 Failed, w=179\",\"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)=98 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,13],[0,2,8],[0,3,35],[0,4,47],[1,2,15],[1,3,31],[1,4,35],[2,3,47],[2,4,74],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,8],[0,3,35],[0,4,47],[1,2,15],[1,3,31],[1,4,35],[2,3,47],[2,4,74],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,8],[0,3,35],[0,4,47],[1,2,15],[1,3,31],[1,4,35],[2,3,47],[2,4,74],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,8],[0,3,35],[0,4,47],[1,2,15],[1,3,31],[1,4,35],[2,3,47],[2,4,74],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (0,1)=13, w=21\",\"Add (1,3)=31, w=52\",\"Add (3,4)=34, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,8],[0,3,35],[0,4,47],[1,2,15],[1,3,31],[1,4,35],[2,3,47],[2,4,74],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (0,1)=13 Succeeded, w=21\",\"Add (1,2)=15 Failed, w=21\",\"Add (1,3)=31 Succeeded, w=52\",\"Add (3,4)=34 Succeeded, w=86\",\"Add (0,3)=35 Failed, w=86\",\"Add (1,4)=35 Failed, w=86\",\"Add (0,4)=47 Failed, w=86\",\"Add (2,3)=47 Failed, w=86\",\"Add (2,4)=74 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,8],[0,3,35],[0,4,47],[1,2,15],[1,3,31],[1,4,35],[2,3,47],[2,4,74],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(0,1)=13,(1,2)=15,(1,3)=31,(3,4)=34,(0,3)=35,(1,4)=35,(0,4)=47,(2,3)=47,(2,4)=74]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=21\",\"Find(1)=0, Find(2)=0, Add (1,2)=15 Failed, w=21\",\"Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=52\",\"Find(3)=0, Find(4)=4, Add (3,4)=34 Succeeded, w=86\",\"Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=86\",\"Find(1)=0, Find(4)=0, Add (1,4)=35 Failed, w=86\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=86\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=86\",\"Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,8],[0,3,35],[0,4,47],[1,2,15],[1,3,31],[1,4,35],[2,3,47],[2,4,74],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(0,1)=13,(1,2)=15,(1,3)=31,(3,4)=34,(0,3)=35,(1,4)=35,(0,4)=47,(2,3)=47,(2,4)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=15 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=34 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=35 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,8],[0,3,95],[0,5,2],[1,3,19],[1,4,11],[2,4,76],[2,5,26],[3,4,58],[3,5,33],[4,5,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,8],[0,3,95],[0,5,2],[1,3,19],[1,4,11],[2,4,76],[2,5,26],[3,4,58],[3,5,33],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,8],[0,3,95],[0,5,2],[1,3,19],[1,4,11],[2,4,76],[2,5,26],[3,4,58],[3,5,33],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,8],[0,3,95],[0,5,2],[1,3,19],[1,4,11],[2,4,76],[2,5,26],[3,4,58],[3,5,33],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (0,2)=8, w=10\",\"Add (1,4)=11, w=21\",\"Add (1,3)=19, w=40\",\"Add (4,5)=24, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,8],[0,3,95],[0,5,2],[1,3,19],[1,4,11],[2,4,76],[2,5,26],[3,4,58],[3,5,33],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (0,2)=8 Succeeded, w=10\",\"Add (1,4)=11 Succeeded, w=21\",\"Add (1,3)=19 Succeeded, w=40\",\"Add (4,5)=24 Succeeded, w=64\",\"Add (2,5)=26 Failed, w=64\",\"Add (3,5)=33 Failed, w=64\",\"Add (3,4)=58 Failed, w=64\",\"Add (2,4)=76 Failed, w=64\",\"Add (0,3)=95 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,8],[0,3,95],[0,5,2],[1,3,19],[1,4,11],[2,4,76],[2,5,26],[3,4,58],[3,5,33],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,2)=8,(1,4)=11,(1,3)=19,(4,5)=24,(2,5)=26,(3,5)=33,(3,4)=58,(2,4)=76,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=40\",\"Find(4)=1, Find(5)=0, Add (4,5)=24 Succeeded, w=64\",\"Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=64\",\"Find(3)=1, Find(5)=1, Add (3,5)=33 Failed, w=64\",\"Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=64\",\"Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=64\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,8],[0,3,95],[0,5,2],[1,3,19],[1,4,11],[2,4,76],[2,5,26],[3,4,58],[3,5,33],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,2)=8,(1,4)=11,(1,3)=19,(4,5)=24,(2,5)=26,(3,5)=33,(3,4)=58,(2,4)=76,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(4)=1, Find(5)=0, Add (4,5)=24 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=33 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,90],[0,3,44],[0,4,74],[1,2,12],[1,3,82],[2,3,91],[2,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,90],[0,3,44],[0,4,74],[1,2,12],[1,3,82],[2,3,91],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,90],[0,3,44],[0,4,74],[1,2,12],[1,3,82],[2,3,91],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,90],[0,3,44],[0,4,74],[1,2,12],[1,3,82],[2,3,91],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (0,3)=44, w=56\",\"Add (2,4)=48, w=104\",\"Add (0,4)=74, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,90],[0,3,44],[0,4,74],[1,2,12],[1,3,82],[2,3,91],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (0,3)=44 Succeeded, w=56\",\"Add (2,4)=48 Succeeded, w=104\",\"Add (0,4)=74 Succeeded, w=178\",\"Add (0,1)=78 Failed, w=178\",\"Add (1,3)=82 Failed, w=178\",\"Add (0,2)=90 Failed, w=178\",\"Add (2,3)=91 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,90],[0,3,44],[0,4,74],[1,2,12],[1,3,82],[2,3,91],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,3)=44,(2,4)=48,(0,4)=74,(0,1)=78,(1,3)=82,(0,2)=90,(2,3)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=56\",\"Find(2)=1, Find(4)=4, Add (2,4)=48 Succeeded, w=104\",\"Find(0)=0, Find(4)=1, Add (0,4)=74 Succeeded, w=178\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=178\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=178\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=178\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,90],[0,3,44],[0,4,74],[1,2,12],[1,3,82],[2,3,91],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,3)=44,(2,4)=48,(0,4)=74,(0,1)=78,(1,3)=82,(0,2)=90,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=48 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=74 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,93],[0,2,77],[0,3,75],[1,3,39],[2,3,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,77],[0,3,75],[1,3,39],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,77],[0,3,75],[1,3,39],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,77],[0,3,75],[1,3,39],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33, w=33\",\"Add (1,3)=39, w=72\",\"Add (0,3)=75, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,77],[0,3,75],[1,3,39],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33 Succeeded, w=33\",\"Add (1,3)=39 Succeeded, w=72\",\"Add (0,3)=75 Succeeded, w=147\",\"Add (0,2)=77 Failed, w=147\",\"Add (0,1)=93 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,77],[0,3,75],[1,3,39],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(1,3)=39,(0,3)=75,(0,2)=77,(0,1)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Find(1)=1, Find(3)=2, Add (1,3)=39 Succeeded, w=72\",\"Find(0)=0, Find(3)=2, Add (0,3)=75 Succeeded, w=147\",\"Find(0)=2, Find(2)=2, Add (0,2)=77 Failed, w=147\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,77],[0,3,75],[1,3,39],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(1,3)=39,(0,3)=75,(0,2)=77,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=39 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=75 Succeeded, w=147\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=77 Failed, w=147\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,75],[0,3,47],[0,5,32],[1,2,89],[1,4,96],[2,3,32],[3,4,66],[4,5,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,47],[0,5,32],[1,2,89],[1,4,96],[2,3,32],[3,4,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,47],[0,5,32],[1,2,89],[1,4,96],[2,3,32],[3,4,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,47],[0,5,32],[1,2,89],[1,4,96],[2,3,32],[3,4,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=32, w=32\",\"Add (2,3)=32, w=64\",\"Add (4,5)=33, w=97\",\"Add (0,3)=47, w=144\",\"Add (1,2)=89, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,47],[0,5,32],[1,2,89],[1,4,96],[2,3,32],[3,4,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=32 Succeeded, w=32\",\"Add (2,3)=32 Succeeded, w=64\",\"Add (4,5)=33 Succeeded, w=97\",\"Add (0,3)=47 Succeeded, w=144\",\"Add (3,4)=66 Failed, w=144\",\"Add (0,2)=75 Failed, w=144\",\"Add (1,2)=89 Succeeded, w=233\",\"Add (1,4)=96 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,47],[0,5,32],[1,2,89],[1,4,96],[2,3,32],[3,4,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=32,(2,3)=32,(4,5)=33,(0,3)=47,(3,4)=66,(0,2)=75,(1,2)=89,(1,4)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=32\",\"Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=64\",\"Find(4)=4, Find(5)=0, Add (4,5)=33 Succeeded, w=97\",\"Find(0)=0, Find(3)=2, Add (0,3)=47 Succeeded, w=144\",\"Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=144\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=144\",\"Find(1)=1, Find(2)=0, Add (1,2)=89 Succeeded, w=233\",\"Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,47],[0,5,32],[1,2,89],[1,4,96],[2,3,32],[3,4,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=32,(2,3)=32,(4,5)=33,(0,3)=47,(3,4)=66,(0,2)=75,(1,2)=89,(1,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=33 Succeeded, w=97\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 0}, Find(0)=0, Find(3)=2, Add (0,3)=47 Succeeded, w=144\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=144\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=89 Succeeded, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,75],[0,2,76],[0,3,64],[1,2,47],[1,3,88],[2,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,76],[0,3,64],[1,2,47],[1,3,88],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,76],[0,3,64],[1,2,47],[1,3,88],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,76],[0,3,64],[1,2,47],[1,3,88],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=47, w=47\",\"Add (2,3)=60, w=107\",\"Add (0,3)=64, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,76],[0,3,64],[1,2,47],[1,3,88],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=47 Succeeded, w=47\",\"Add (2,3)=60 Succeeded, w=107\",\"Add (0,3)=64 Succeeded, w=171\",\"Add (0,1)=75 Failed, w=171\",\"Add (0,2)=76 Failed, w=171\",\"Add (1,3)=88 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,76],[0,3,64],[1,2,47],[1,3,88],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=47,(2,3)=60,(0,3)=64,(0,1)=75,(0,2)=76,(1,3)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=47\",\"Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=107\",\"Find(0)=0, Find(3)=1, Add (0,3)=64 Succeeded, w=171\",\"Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=171\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=171\",\"Find(1)=1, Find(3)=1, Add (1,3)=88 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,76],[0,3,64],[1,2,47],[1,3,88],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=47,(2,3)=60,(0,3)=64,(0,1)=75,(0,2)=76,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=64 Succeeded, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=88 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,80],[0,2,24],[0,3,57],[0,4,90],[0,5,91],[0,6,48],[0,7,76],[1,2,98],[1,3,73],[1,4,98],[1,6,31],[1,7,24],[2,3,98],[2,5,93],[3,4,13],[3,5,61],[3,6,8],[4,5,77],[4,7,63],[5,6,59],[5,7,99],[6,7,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,24],[0,3,57],[0,4,90],[0,5,91],[0,6,48],[0,7,76],[1,2,98],[1,3,73],[1,4,98],[1,6,31],[1,7,24],[2,3,98],[2,5,93],[3,4,13],[3,5,61],[3,6,8],[4,5,77],[4,7,63],[5,6,59],[5,7,99],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,24],[0,3,57],[0,4,90],[0,5,91],[0,6,48],[0,7,76],[1,2,98],[1,3,73],[1,4,98],[1,6,31],[1,7,24],[2,3,98],[2,5,93],[3,4,13],[3,5,61],[3,6,8],[4,5,77],[4,7,63],[5,6,59],[5,7,99],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (0,2)\",\"Add (1,7)\",\"Add (0,6)\",\"Add (5,6)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,24],[0,3,57],[0,4,90],[0,5,91],[0,6,48],[0,7,76],[1,2,98],[1,3,73],[1,4,98],[1,6,31],[1,7,24],[2,3,98],[2,5,93],[3,4,13],[3,5,61],[3,6,8],[4,5,77],[4,7,63],[5,6,59],[5,7,99],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=8, w=8\",\"Add (3,4)=13, w=21\",\"Add (6,7)=18, w=39\",\"Add (0,2)=24, w=63\",\"Add (1,7)=24, w=87\",\"Add (0,6)=48, w=135\",\"Add (5,6)=59, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,24],[0,3,57],[0,4,90],[0,5,91],[0,6,48],[0,7,76],[1,2,98],[1,3,73],[1,4,98],[1,6,31],[1,7,24],[2,3,98],[2,5,93],[3,4,13],[3,5,61],[3,6,8],[4,5,77],[4,7,63],[5,6,59],[5,7,99],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=8 Succeeded, w=8\",\"Add (3,4)=13 Succeeded, w=21\",\"Add (6,7)=18 Succeeded, w=39\",\"Add (0,2)=24 Succeeded, w=63\",\"Add (1,7)=24 Succeeded, w=87\",\"Add (1,6)=31 Failed, w=87\",\"Add (0,6)=48 Succeeded, w=135\",\"Add (0,3)=57 Failed, w=135\",\"Add (5,6)=59 Succeeded, w=194\",\"Add (3,5)=61 Failed, w=194\",\"Add (4,7)=63 Failed, w=194\",\"Add (1,3)=73 Failed, w=194\",\"Add (0,7)=76 Failed, w=194\",\"Add (4,5)=77 Failed, w=194\",\"Add (0,1)=80 Failed, w=194\",\"Add (0,4)=90 Failed, w=194\",\"Add (0,5)=91 Failed, w=194\",\"Add (2,5)=93 Failed, w=194\",\"Add (1,2)=98 Failed, w=194\",\"Add (1,4)=98 Failed, w=194\",\"Add (2,3)=98 Failed, w=194\",\"Add (5,7)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,24],[0,3,57],[0,4,90],[0,5,91],[0,6,48],[0,7,76],[1,2,98],[1,3,73],[1,4,98],[1,6,31],[1,7,24],[2,3,98],[2,5,93],[3,4,13],[3,5,61],[3,6,8],[4,5,77],[4,7,63],[5,6,59],[5,7,99],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=8,(3,4)=13,(6,7)=18,(0,2)=24,(1,7)=24,(1,6)=31,(0,6)=48,(0,3)=57,(5,6)=59,(3,5)=61,(4,7)=63,(1,3)=73,(0,7)=76,(4,5)=77,(0,1)=80,(0,4)=90,(0,5)=91,(2,5)=93,(1,2)=98,(1,4)=98,(2,3)=98,(5,7)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=8\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=21\",\"Find(6)=3, Find(7)=7, Add (6,7)=18 Succeeded, w=39\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=63\",\"Find(1)=1, Find(7)=3, Add (1,7)=24 Succeeded, w=87\",\"Find(1)=3, Find(6)=3, Add (1,6)=31 Failed, w=87\",\"Find(0)=0, Find(6)=3, Add (0,6)=48 Succeeded, w=135\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=135\",\"Find(5)=5, Find(6)=0, Add (5,6)=59 Succeeded, w=194\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=194\",\"Find(4)=0, Find(7)=0, Add (4,7)=63 Failed, w=194\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=194\",\"Find(0)=0, Find(7)=0, Add (0,7)=76 Failed, w=194\",\"Find(4)=0, Find(5)=0, Add (4,5)=77 Failed, w=194\",\"Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=194\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=194\",\"Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=194\",\"Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=194\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=194\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=194\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=194\",\"Find(5)=0, Find(7)=0, Add (5,7)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,24],[0,3,57],[0,4,90],[0,5,91],[0,6,48],[0,7,76],[1,2,98],[1,3,73],[1,4,98],[1,6,31],[1,7,24],[2,3,98],[2,5,93],[3,4,13],[3,5,61],[3,6,8],[4,5,77],[4,7,63],[5,6,59],[5,7,99],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=8,(3,4)=13,(6,7)=18,(0,2)=24,(1,7)=24,(1,6)=31,(0,6)=48,(0,3)=57,(5,6)=59,(3,5)=61,(4,7)=63,(1,3)=73,(0,7)=76,(4,5)=77,(0,1)=80,(0,4)=90,(0,5)=91,(2,5)=93,(1,2)=98,(1,4)=98,(2,3)=98,(5,7)=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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(6)=3, Find(7)=7, Add (6,7)=18 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=63\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=24 Succeeded, w=87\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=31 Failed, w=87\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=0, Find(6)=3, Add (0,6)=48 Succeeded, w=135\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=135\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 3}, Find(5)=5, Find(6)=0, Add (5,6)=59 Succeeded, w=194\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 3}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=194\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=63 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=194\",\"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)=76 Failed, w=194\",\"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)=77 Failed, w=194\",\"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)=80 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=194\",\"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)=91 Failed, w=194\",\"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)=93 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=194\",\"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)=98 Failed, w=194\",\"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)=98 Failed, w=194\",\"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)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,12],[0,2,0],[0,3,25],[0,4,2],[0,5,99],[0,6,54],[1,2,78],[1,3,73],[1,4,73],[1,5,10],[1,6,58],[2,3,72],[2,4,43],[2,5,43],[2,6,77],[3,4,65],[3,5,84],[3,6,9],[4,5,83],[4,6,16],[5,6,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,0],[0,3,25],[0,4,2],[0,5,99],[0,6,54],[1,2,78],[1,3,73],[1,4,73],[1,5,10],[1,6,58],[2,3,72],[2,4,43],[2,5,43],[2,6,77],[3,4,65],[3,5,84],[3,6,9],[4,5,83],[4,6,16],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,0],[0,3,25],[0,4,2],[0,5,99],[0,6,54],[1,2,78],[1,3,73],[1,4,73],[1,5,10],[1,6,58],[2,3,72],[2,4,43],[2,5,43],[2,6,77],[3,4,65],[3,5,84],[3,6,9],[4,5,83],[4,6,16],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (4,6)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,0],[0,3,25],[0,4,2],[0,5,99],[0,6,54],[1,2,78],[1,3,73],[1,4,73],[1,5,10],[1,6,58],[2,3,72],[2,4,43],[2,5,43],[2,6,77],[3,4,65],[3,5,84],[3,6,9],[4,5,83],[4,6,16],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (0,4)=2, w=2\",\"Add (3,6)=9, w=11\",\"Add (1,5)=10, w=21\",\"Add (0,1)=12, w=33\",\"Add (4,6)=16, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,0],[0,3,25],[0,4,2],[0,5,99],[0,6,54],[1,2,78],[1,3,73],[1,4,73],[1,5,10],[1,6,58],[2,3,72],[2,4,43],[2,5,43],[2,6,77],[3,4,65],[3,5,84],[3,6,9],[4,5,83],[4,6,16],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,6)=9 Succeeded, w=11\",\"Add (1,5)=10 Succeeded, w=21\",\"Add (0,1)=12 Succeeded, w=33\",\"Add (4,6)=16 Succeeded, w=49\",\"Add (5,6)=24 Failed, w=49\",\"Add (0,3)=25 Failed, w=49\",\"Add (2,4)=43 Failed, w=49\",\"Add (2,5)=43 Failed, w=49\",\"Add (0,6)=54 Failed, w=49\",\"Add (1,6)=58 Failed, w=49\",\"Add (3,4)=65 Failed, w=49\",\"Add (2,3)=72 Failed, w=49\",\"Add (1,3)=73 Failed, w=49\",\"Add (1,4)=73 Failed, w=49\",\"Add (2,6)=77 Failed, w=49\",\"Add (1,2)=78 Failed, w=49\",\"Add (4,5)=83 Failed, w=49\",\"Add (3,5)=84 Failed, w=49\",\"Add (0,5)=99 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,0],[0,3,25],[0,4,2],[0,5,99],[0,6,54],[1,2,78],[1,3,73],[1,4,73],[1,5,10],[1,6,58],[2,3,72],[2,4,43],[2,5,43],[2,6,77],[3,4,65],[3,5,84],[3,6,9],[4,5,83],[4,6,16],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,4)=2,(3,6)=9,(1,5)=10,(0,1)=12,(4,6)=16,(5,6)=24,(0,3)=25,(2,4)=43,(2,5)=43,(0,6)=54,(1,6)=58,(3,4)=65,(2,3)=72,(1,3)=73,(1,4)=73,(2,6)=77,(1,2)=78,(4,5)=83,(3,5)=84,(0,5)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=11\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=33\",\"Find(4)=0, Find(6)=3, Add (4,6)=16 Succeeded, w=49\",\"Find(5)=0, Find(6)=0, Add (5,6)=24 Failed, w=49\",\"Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=49\",\"Find(2)=0, Find(4)=0, Add (2,4)=43 Failed, w=49\",\"Find(2)=0, Find(5)=0, Add (2,5)=43 Failed, w=49\",\"Find(0)=0, Find(6)=0, Add (0,6)=54 Failed, w=49\",\"Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=49\",\"Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=49\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=49\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=49\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=49\",\"Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=49\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=49\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=49\",\"Find(3)=0, Find(5)=0, Add (3,5)=84 Failed, w=49\",\"Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,0],[0,3,25],[0,4,2],[0,5,99],[0,6,54],[1,2,78],[1,3,73],[1,4,73],[1,5,10],[1,6,58],[2,3,72],[2,4,43],[2,5,43],[2,6,77],[3,4,65],[3,5,84],[3,6,9],[4,5,83],[4,6,16],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,4)=2,(3,6)=9,(1,5)=10,(0,1)=12,(4,6)=16,(5,6)=24,(0,3)=25,(2,4)=43,(2,5)=43,(0,6)=54,(1,6)=58,(3,4)=65,(2,3)=72,(1,3)=73,(1,4)=73,(2,6)=77,(1,2)=78,(4,5)=83,(3,5)=84,(0,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1, 6: 3}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 3}, Find(4)=0, Find(6)=3, Add (4,6)=16 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=24 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=43 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=43 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=54 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=84 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,3,89],[0,4,26],[0,5,19],[1,2,84],[1,3,29],[1,6,58],[2,3,9],[2,4,91],[2,5,97],[2,6,19],[2,7,62],[3,4,69],[3,5,16],[3,6,3],[3,7,68],[4,6,62],[4,7,72],[5,6,47],[5,7,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,89],[0,4,26],[0,5,19],[1,2,84],[1,3,29],[1,6,58],[2,3,9],[2,4,91],[2,5,97],[2,6,19],[2,7,62],[3,4,69],[3,5,16],[3,6,3],[3,7,68],[4,6,62],[4,7,72],[5,6,47],[5,7,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,89],[0,4,26],[0,5,19],[1,2,84],[1,3,29],[1,6,58],[2,3,9],[2,4,91],[2,5,97],[2,6,19],[2,7,62],[3,4,69],[3,5,16],[3,6,3],[3,7,68],[4,6,62],[4,7,72],[5,6,47],[5,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (5,7)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,89],[0,4,26],[0,5,19],[1,2,84],[1,3,29],[1,6,58],[2,3,9],[2,4,91],[2,5,97],[2,6,19],[2,7,62],[3,4,69],[3,5,16],[3,6,3],[3,7,68],[4,6,62],[4,7,72],[5,6,47],[5,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (2,3)=9, w=12\",\"Add (3,5)=16, w=28\",\"Add (0,5)=19, w=47\",\"Add (0,4)=26, w=73\",\"Add (1,3)=29, w=102\",\"Add (5,7)=44, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,89],[0,4,26],[0,5,19],[1,2,84],[1,3,29],[1,6,58],[2,3,9],[2,4,91],[2,5,97],[2,6,19],[2,7,62],[3,4,69],[3,5,16],[3,6,3],[3,7,68],[4,6,62],[4,7,72],[5,6,47],[5,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (2,3)=9 Succeeded, w=12\",\"Add (3,5)=16 Succeeded, w=28\",\"Add (0,5)=19 Succeeded, w=47\",\"Add (2,6)=19 Failed, w=47\",\"Add (0,4)=26 Succeeded, w=73\",\"Add (1,3)=29 Succeeded, w=102\",\"Add (5,7)=44 Succeeded, w=146\",\"Add (5,6)=47 Failed, w=146\",\"Add (0,1)=58 Failed, w=146\",\"Add (1,6)=58 Failed, w=146\",\"Add (2,7)=62 Failed, w=146\",\"Add (4,6)=62 Failed, w=146\",\"Add (3,7)=68 Failed, w=146\",\"Add (3,4)=69 Failed, w=146\",\"Add (4,7)=72 Failed, w=146\",\"Add (1,2)=84 Failed, w=146\",\"Add (0,3)=89 Failed, w=146\",\"Add (2,4)=91 Failed, w=146\",\"Add (2,5)=97 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,89],[0,4,26],[0,5,19],[1,2,84],[1,3,29],[1,6,58],[2,3,9],[2,4,91],[2,5,97],[2,6,19],[2,7,62],[3,4,69],[3,5,16],[3,6,3],[3,7,68],[4,6,62],[4,7,72],[5,6,47],[5,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(2,3)=9,(3,5)=16,(0,5)=19,(2,6)=19,(0,4)=26,(1,3)=29,(5,7)=44,(5,6)=47,(0,1)=58,(1,6)=58,(2,7)=62,(4,6)=62,(3,7)=68,(3,4)=69,(4,7)=72,(1,2)=84,(0,3)=89,(2,4)=91,(2,5)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=12\",\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=28\",\"Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=47\",\"Find(2)=3, Find(6)=3, Add (2,6)=19 Failed, w=47\",\"Find(0)=3, Find(4)=4, Add (0,4)=26 Succeeded, w=73\",\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=102\",\"Find(5)=3, Find(7)=7, Add (5,7)=44 Succeeded, w=146\",\"Find(5)=3, Find(6)=3, Add (5,6)=47 Failed, w=146\",\"Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=146\",\"Find(1)=3, Find(6)=3, Add (1,6)=58 Failed, w=146\",\"Find(2)=3, Find(7)=3, Add (2,7)=62 Failed, w=146\",\"Find(4)=3, Find(6)=3, Add (4,6)=62 Failed, w=146\",\"Find(3)=3, Find(7)=3, Add (3,7)=68 Failed, w=146\",\"Find(3)=3, Find(4)=3, Add (3,4)=69 Failed, w=146\",\"Find(4)=3, Find(7)=3, Add (4,7)=72 Failed, w=146\",\"Find(1)=3, Find(2)=3, Add (1,2)=84 Failed, w=146\",\"Find(0)=3, Find(3)=3, Add (0,3)=89 Failed, w=146\",\"Find(2)=3, Find(4)=3, Add (2,4)=91 Failed, w=146\",\"Find(2)=3, Find(5)=3, Add (2,5)=97 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,89],[0,4,26],[0,5,19],[1,2,84],[1,3,29],[1,6,58],[2,3,9],[2,4,91],[2,5,97],[2,6,19],[2,7,62],[3,4,69],[3,5,16],[3,6,3],[3,7,68],[4,6,62],[4,7,72],[5,6,47],[5,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(2,3)=9,(3,5)=16,(0,5)=19,(2,6)=19,(0,4)=26,(1,3)=29,(5,7)=44,(5,6)=47,(0,1)=58,(1,6)=58,(2,7)=62,(4,6)=62,(3,7)=68,(3,4)=69,(4,7)=72,(1,2)=84,(0,3)=89,(2,4)=91,(2,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=28\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=47\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(2)=3, Find(6)=3, Add (2,6)=19 Failed, w=47\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(0)=3, Find(4)=4, Add (0,4)=26 Succeeded, w=73\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=7, Add (5,7)=44 Succeeded, w=146\",\"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)=47 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=146\",\"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)=58 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=62 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=62 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=68 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=69 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=72 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=84 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=89 Failed, w=146\",\"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)=91 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=97 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,2,10],[1,2,80],[2,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,10],[1,2,80],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,10],[1,2,80],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,10],[1,2,80],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,2)=10, w=18\",\"Add (0,1)=34, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,10],[1,2,80],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,2)=10 Succeeded, w=18\",\"Add (0,1)=34 Succeeded, w=52\",\"Add (1,2)=80 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,10],[1,2,80],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,2)=10,(0,1)=34,(1,2)=80]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=18\",\"Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=52\",\"Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,10],[1,2,80],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,2)=10,(0,1)=34,(1,2)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=18\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,3,27],[0,4,1],[1,3,39],[2,4,47],[2,5,42],[3,4,71],[3,5,61],[4,5,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,27],[0,4,1],[1,3,39],[2,4,47],[2,5,42],[3,4,71],[3,5,61],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,27],[0,4,1],[1,3,39],[2,4,47],[2,5,42],[3,4,71],[3,5,61],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (2,4)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,27],[0,4,1],[1,3,39],[2,4,47],[2,5,42],[3,4,71],[3,5,61],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (0,1)=6, w=7\",\"Add (0,3)=27, w=34\",\"Add (2,5)=42, w=76\",\"Add (2,4)=47, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,27],[0,4,1],[1,3,39],[2,4,47],[2,5,42],[3,4,71],[3,5,61],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (0,1)=6 Succeeded, w=7\",\"Add (0,3)=27 Succeeded, w=34\",\"Add (1,3)=39 Failed, w=34\",\"Add (2,5)=42 Succeeded, w=76\",\"Add (2,4)=47 Succeeded, w=123\",\"Add (3,5)=61 Failed, w=123\",\"Add (4,5)=61 Failed, w=123\",\"Add (3,4)=71 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,27],[0,4,1],[1,3,39],[2,4,47],[2,5,42],[3,4,71],[3,5,61],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,1)=6,(0,3)=27,(1,3)=39,(2,5)=42,(2,4)=47,(3,5)=61,(4,5)=61,(3,4)=71]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=34\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=34\",\"Find(2)=2, Find(5)=5, Add (2,5)=42 Succeeded, w=76\",\"Find(2)=2, Find(4)=0, Add (2,4)=47 Succeeded, w=123\",\"Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=123\",\"Find(4)=2, Find(5)=2, Add (4,5)=61 Failed, w=123\",\"Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,27],[0,4,1],[1,3,39],[2,4,47],[2,5,42],[3,4,71],[3,5,61],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,1)=6,(0,3)=27,(1,3)=39,(2,5)=42,(2,4)=47,(3,5)=61,(4,5)=61,(3,4)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=42 Succeeded, w=76\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(2)=2, Find(4)=0, Add (2,4)=47 Succeeded, w=123\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=123\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=61 Failed, w=123\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,5],[0,3,26],[1,2,42],[1,3,13],[2,3,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,3,26],[1,2,42],[1,3,13],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,3,26],[1,2,42],[1,3,13],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,3,26],[1,2,42],[1,3,13],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,3)=13, w=18\",\"Add (1,2)=42, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,3,26],[1,2,42],[1,3,13],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,3)=13 Succeeded, w=18\",\"Add (0,3)=26 Failed, w=18\",\"Add (1,2)=42 Succeeded, w=60\",\"Add (2,3)=53 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,3,26],[1,2,42],[1,3,13],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,3)=13,(0,3)=26,(1,2)=42,(2,3)=53]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(3)=3, Add (1,3)=13 Succeeded, w=18\",\"Find(0)=0, Find(3)=0, Add (0,3)=26 Failed, w=18\",\"Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,3,26],[1,2,42],[1,3,13],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,3)=13,(0,3)=26,(1,2)=42,(2,3)=53]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=26 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,61],[0,3,47],[1,2,35],[1,3,93],[1,4,81],[2,4,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,3,47],[1,2,35],[1,3,93],[1,4,81],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,3,47],[1,2,35],[1,3,93],[1,4,81],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,3,47],[1,2,35],[1,3,93],[1,4,81],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=35, w=35\",\"Add (0,3)=47, w=82\",\"Add (0,1)=61, w=143\",\"Add (1,4)=81, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,3,47],[1,2,35],[1,3,93],[1,4,81],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=35 Succeeded, w=35\",\"Add (0,3)=47 Succeeded, w=82\",\"Add (0,1)=61 Succeeded, w=143\",\"Add (1,4)=81 Succeeded, w=224\",\"Add (2,4)=89 Failed, w=224\",\"Add (1,3)=93 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,3,47],[1,2,35],[1,3,93],[1,4,81],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=35,(0,3)=47,(0,1)=61,(1,4)=81,(2,4)=89,(1,3)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=82\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=143\",\"Find(1)=0, Find(4)=4, Add (1,4)=81 Succeeded, w=224\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=224\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,3,47],[1,2,35],[1,3,93],[1,4,81],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=35,(0,3)=47,(0,1)=61,(1,4)=81,(2,4)=89,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=81 Succeeded, w=224\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=224\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,3,46],[0,4,87],[0,5,20],[0,6,17],[0,7,32],[1,2,22],[1,3,19],[1,4,17],[1,5,22],[1,6,71],[1,7,24],[2,3,31],[2,4,30],[2,5,47],[2,6,52],[2,7,43],[3,4,77],[3,5,63],[3,6,39],[3,7,82],[4,5,63],[4,6,22],[4,7,61],[5,6,26],[5,7,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,3,46],[0,4,87],[0,5,20],[0,6,17],[0,7,32],[1,2,22],[1,3,19],[1,4,17],[1,5,22],[1,6,71],[1,7,24],[2,3,31],[2,4,30],[2,5,47],[2,6,52],[2,7,43],[3,4,77],[3,5,63],[3,6,39],[3,7,82],[4,5,63],[4,6,22],[4,7,61],[5,6,26],[5,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,3,46],[0,4,87],[0,5,20],[0,6,17],[0,7,32],[1,2,22],[1,3,19],[1,4,17],[1,5,22],[1,6,71],[1,7,24],[2,3,31],[2,4,30],[2,5,47],[2,6,52],[2,7,43],[3,4,77],[3,5,63],[3,6,39],[3,7,82],[4,5,63],[4,6,22],[4,7,61],[5,6,26],[5,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (1,7)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,3,46],[0,4,87],[0,5,20],[0,6,17],[0,7,32],[1,2,22],[1,3,19],[1,4,17],[1,5,22],[1,6,71],[1,7,24],[2,3,31],[2,4,30],[2,5,47],[2,6,52],[2,7,43],[3,4,77],[3,5,63],[3,6,39],[3,7,82],[4,5,63],[4,6,22],[4,7,61],[5,6,26],[5,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=17, w=17\",\"Add (1,4)=17, w=34\",\"Add (1,3)=19, w=53\",\"Add (0,5)=20, w=73\",\"Add (1,2)=22, w=95\",\"Add (1,5)=22, w=117\",\"Add (1,7)=24, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,3,46],[0,4,87],[0,5,20],[0,6,17],[0,7,32],[1,2,22],[1,3,19],[1,4,17],[1,5,22],[1,6,71],[1,7,24],[2,3,31],[2,4,30],[2,5,47],[2,6,52],[2,7,43],[3,4,77],[3,5,63],[3,6,39],[3,7,82],[4,5,63],[4,6,22],[4,7,61],[5,6,26],[5,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=17 Succeeded, w=17\",\"Add (1,4)=17 Succeeded, w=34\",\"Add (1,3)=19 Succeeded, w=53\",\"Add (0,5)=20 Succeeded, w=73\",\"Add (1,2)=22 Succeeded, w=95\",\"Add (1,5)=22 Succeeded, w=117\",\"Add (4,6)=22 Failed, w=117\",\"Add (1,7)=24 Succeeded, w=141\",\"Add (5,6)=26 Failed, w=141\",\"Add (2,4)=30 Failed, w=141\",\"Add (2,3)=31 Failed, w=141\",\"Add (0,7)=32 Failed, w=141\",\"Add (3,6)=39 Failed, w=141\",\"Add (2,7)=43 Failed, w=141\",\"Add (0,3)=46 Failed, w=141\",\"Add (2,5)=47 Failed, w=141\",\"Add (2,6)=52 Failed, w=141\",\"Add (0,1)=56 Failed, w=141\",\"Add (4,7)=61 Failed, w=141\",\"Add (3,5)=63 Failed, w=141\",\"Add (4,5)=63 Failed, w=141\",\"Add (1,6)=71 Failed, w=141\",\"Add (3,4)=77 Failed, w=141\",\"Add (3,7)=82 Failed, w=141\",\"Add (5,7)=85 Failed, w=141\",\"Add (0,4)=87 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,3,46],[0,4,87],[0,5,20],[0,6,17],[0,7,32],[1,2,22],[1,3,19],[1,4,17],[1,5,22],[1,6,71],[1,7,24],[2,3,31],[2,4,30],[2,5,47],[2,6,52],[2,7,43],[3,4,77],[3,5,63],[3,6,39],[3,7,82],[4,5,63],[4,6,22],[4,7,61],[5,6,26],[5,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=17,(1,4)=17,(1,3)=19,(0,5)=20,(1,2)=22,(1,5)=22,(4,6)=22,(1,7)=24,(5,6)=26,(2,4)=30,(2,3)=31,(0,7)=32,(3,6)=39,(2,7)=43,(0,3)=46,(2,5)=47,(2,6)=52,(0,1)=56,(4,7)=61,(3,5)=63,(4,5)=63,(1,6)=71,(3,4)=77,(3,7)=82,(5,7)=85,(0,4)=87]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=34\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=53\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=73\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=95\",\"Find(1)=1, Find(5)=0, Add (1,5)=22 Succeeded, w=117\",\"Find(4)=1, Find(6)=1, Add (4,6)=22 Failed, w=117\",\"Find(1)=1, Find(7)=7, Add (1,7)=24 Succeeded, w=141\",\"Find(5)=1, Find(6)=1, Add (5,6)=26 Failed, w=141\",\"Find(2)=1, Find(4)=1, Add (2,4)=30 Failed, w=141\",\"Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=141\",\"Find(0)=1, Find(7)=1, Add (0,7)=32 Failed, w=141\",\"Find(3)=1, Find(6)=1, Add (3,6)=39 Failed, w=141\",\"Find(2)=1, Find(7)=1, Add (2,7)=43 Failed, w=141\",\"Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=141\",\"Find(2)=1, Find(5)=1, Add (2,5)=47 Failed, w=141\",\"Find(2)=1, Find(6)=1, Add (2,6)=52 Failed, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=141\",\"Find(4)=1, Find(7)=1, Add (4,7)=61 Failed, w=141\",\"Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=141\",\"Find(4)=1, Find(5)=1, Add (4,5)=63 Failed, w=141\",\"Find(1)=1, Find(6)=1, Add (1,6)=71 Failed, w=141\",\"Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=141\",\"Find(3)=1, Find(7)=1, Add (3,7)=82 Failed, w=141\",\"Find(5)=1, Find(7)=1, Add (5,7)=85 Failed, w=141\",\"Find(0)=1, Find(4)=1, Add (0,4)=87 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,3,46],[0,4,87],[0,5,20],[0,6,17],[0,7,32],[1,2,22],[1,3,19],[1,4,17],[1,5,22],[1,6,71],[1,7,24],[2,3,31],[2,4,30],[2,5,47],[2,6,52],[2,7,43],[3,4,77],[3,5,63],[3,6,39],[3,7,82],[4,5,63],[4,6,22],[4,7,61],[5,6,26],[5,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=17,(1,4)=17,(1,3)=19,(0,5)=20,(1,2)=22,(1,5)=22,(4,6)=22,(1,7)=24,(5,6)=26,(2,4)=30,(2,3)=31,(0,7)=32,(3,6)=39,(2,7)=43,(0,3)=46,(2,5)=47,(2,6)=52,(0,1)=56,(4,7)=61,(3,5)=63,(4,5)=63,(1,6)=71,(3,4)=77,(3,7)=82,(5,7)=85,(0,4)=87]\",\"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)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0, 7: 7}, Find(1)=1, Find(5)=0, Add (1,5)=22 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 7}, Find(4)=1, Find(6)=1, Add (4,6)=22 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=24 Succeeded, w=141\",\"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)=26 Failed, w=141\",\"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)=30 Failed, w=141\",\"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)=31 Failed, w=141\",\"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)=32 Failed, w=141\",\"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)=39 Failed, w=141\",\"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)=43 Failed, w=141\",\"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)=46 Failed, w=141\",\"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)=47 Failed, w=141\",\"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)=52 Failed, w=141\",\"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)=56 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=61 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=141\",\"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)=63 Failed, w=141\",\"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)=71 Failed, w=141\",\"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)=77 Failed, w=141\",\"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)=82 Failed, w=141\",\"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)=85 Failed, w=141\",\"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)=87 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,42],[0,2,0],[0,3,35],[0,4,41],[1,2,17],[1,3,60],[1,4,25],[2,4,42],[3,4,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,0],[0,3,35],[0,4,41],[1,2,17],[1,3,60],[1,4,25],[2,4,42],[3,4,32]]}",
"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\":[[0,1,42],[0,2,0],[0,3,35],[0,4,41],[1,2,17],[1,3,60],[1,4,25],[2,4,42],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,0],[0,3,35],[0,4,41],[1,2,17],[1,3,60],[1,4,25],[2,4,42],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (1,2)=17, w=17\",\"Add (1,4)=25, w=42\",\"Add (3,4)=32, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,0],[0,3,35],[0,4,41],[1,2,17],[1,3,60],[1,4,25],[2,4,42],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (1,2)=17 Succeeded, w=17\",\"Add (1,4)=25 Succeeded, w=42\",\"Add (3,4)=32 Succeeded, w=74\",\"Add (0,3)=35 Failed, w=74\",\"Add (0,4)=41 Failed, w=74\",\"Add (0,1)=42 Failed, w=74\",\"Add (2,4)=42 Failed, w=74\",\"Add (1,3)=60 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\":[[0,1,42],[0,2,0],[0,3,35],[0,4,41],[1,2,17],[1,3,60],[1,4,25],[2,4,42],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,2)=17,(1,4)=25,(3,4)=32,(0,3)=35,(0,4)=41,(0,1)=42,(2,4)=42,(1,3)=60]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=17\",\"Find(1)=0, Find(4)=4, Add (1,4)=25 Succeeded, w=42\",\"Find(3)=3, Find(4)=0, Add (3,4)=32 Succeeded, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=42 Failed, w=74\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 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\":[[0,1,42],[0,2,0],[0,3,35],[0,4,41],[1,2,17],[1,3,60],[1,4,25],[2,4,42],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,2)=17,(1,4)=25,(3,4)=32,(0,3)=35,(0,4)=41,(0,1)=42,(2,4)=42,(1,3)=60]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=25 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=32 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=42 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
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