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],"edges":[[0,1,100],[0,2,57],[0,3,20],[1,2,86],[1,3,97],[2,3,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,57],[0,3,20],[1,2,86],[1,3,97],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,57],[0,3,20],[1,2,86],[1,3,97],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,57],[0,3,20],[1,2,86],[1,3,97],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,3)=20, w=24\",\"Add (1,2)=86, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,57],[0,3,20],[1,2,86],[1,3,97],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,3)=20 Succeeded, w=24\",\"Add (0,2)=57 Failed, w=24\",\"Add (1,2)=86 Succeeded, w=110\",\"Add (1,3)=97 Failed, w=110\",\"Add (0,1)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,57],[0,3,20],[1,2,86],[1,3,97],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,3)=20,(0,2)=57,(1,2)=86,(1,3)=97,(0,1)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=24\",\"Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=24\",\"Find(1)=1, Find(2)=2, Add (1,2)=86 Succeeded, w=110\",\"Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=110\",\"Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,57],[0,3,20],[1,2,86],[1,3,97],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,3)=20,(0,2)=57,(1,2)=86,(1,3)=97,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=86 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,38],[1,3,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,38],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,38],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,38],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=38, w=38\",\"Add (0,1)=45, w=83\",\"Add (1,3)=86, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,38],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=38 Succeeded, w=38\",\"Add (0,1)=45 Succeeded, w=83\",\"Add (1,3)=86 Succeeded, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,38],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=38,(0,1)=45,(1,3)=86]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=38\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=83\",\"Find(1)=0, Find(3)=3, Add (1,3)=86 Succeeded, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,38],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=38,(0,1)=45,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=86 Succeeded, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,73],[0,2,19],[0,3,98],[0,4,16],[1,2,82],[1,4,67],[2,3,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,19],[0,3,98],[0,4,16],[1,2,82],[1,4,67],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,19],[0,3,98],[0,4,16],[1,2,82],[1,4,67],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,19],[0,3,98],[0,4,16],[1,2,82],[1,4,67],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16, w=16\",\"Add (0,2)=19, w=35\",\"Add (1,4)=67, w=102\",\"Add (0,3)=98, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,19],[0,3,98],[0,4,16],[1,2,82],[1,4,67],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16 Succeeded, w=16\",\"Add (0,2)=19 Succeeded, w=35\",\"Add (1,4)=67 Succeeded, w=102\",\"Add (0,1)=73 Failed, w=102\",\"Add (1,2)=82 Failed, w=102\",\"Add (0,3)=98 Succeeded, w=200\",\"Add (2,3)=98 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,19],[0,3,98],[0,4,16],[1,2,82],[1,4,67],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(0,2)=19,(1,4)=67,(0,1)=73,(1,2)=82,(0,3)=98,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=35\",\"Find(1)=1, Find(4)=0, Add (1,4)=67 Succeeded, w=102\",\"Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=102\",\"Find(0)=0, Find(3)=3, Add (0,3)=98 Succeeded, w=200\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,19],[0,3,98],[0,4,16],[1,2,82],[1,4,67],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(0,2)=19,(1,4)=67,(0,1)=73,(1,2)=82,(0,3)=98,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=67 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=98 Succeeded, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,98],[0,2,56],[0,3,17],[0,4,60],[0,5,84],[0,6,10],[1,2,46],[1,3,82],[1,4,72],[1,5,93],[1,6,42],[2,3,26],[2,4,19],[2,5,75],[2,6,43],[3,4,14],[3,5,0],[3,6,45],[4,5,4],[4,6,78],[5,6,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,56],[0,3,17],[0,4,60],[0,5,84],[0,6,10],[1,2,46],[1,3,82],[1,4,72],[1,5,93],[1,6,42],[2,3,26],[2,4,19],[2,5,75],[2,6,43],[3,4,14],[3,5,0],[3,6,45],[4,5,4],[4,6,78],[5,6,60]]}",
"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\":[[0,1,98],[0,2,56],[0,3,17],[0,4,60],[0,5,84],[0,6,10],[1,2,46],[1,3,82],[1,4,72],[1,5,93],[1,6,42],[2,3,26],[2,4,19],[2,5,75],[2,6,43],[3,4,14],[3,5,0],[3,6,45],[4,5,4],[4,6,78],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (1,6)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,56],[0,3,17],[0,4,60],[0,5,84],[0,6,10],[1,2,46],[1,3,82],[1,4,72],[1,5,93],[1,6,42],[2,3,26],[2,4,19],[2,5,75],[2,6,43],[3,4,14],[3,5,0],[3,6,45],[4,5,4],[4,6,78],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (4,5)=4, w=4\",\"Add (0,6)=10, w=14\",\"Add (0,3)=17, w=31\",\"Add (2,4)=19, w=50\",\"Add (1,6)=42, 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\":[[0,1,98],[0,2,56],[0,3,17],[0,4,60],[0,5,84],[0,6,10],[1,2,46],[1,3,82],[1,4,72],[1,5,93],[1,6,42],[2,3,26],[2,4,19],[2,5,75],[2,6,43],[3,4,14],[3,5,0],[3,6,45],[4,5,4],[4,6,78],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (4,5)=4 Succeeded, w=4\",\"Add (0,6)=10 Succeeded, w=14\",\"Add (3,4)=14 Failed, w=14\",\"Add (0,3)=17 Succeeded, w=31\",\"Add (2,4)=19 Succeeded, w=50\",\"Add (2,3)=26 Failed, w=50\",\"Add (1,6)=42 Succeeded, w=92\",\"Add (2,6)=43 Failed, w=92\",\"Add (3,6)=45 Failed, w=92\",\"Add (1,2)=46 Failed, w=92\",\"Add (0,2)=56 Failed, w=92\",\"Add (0,4)=60 Failed, w=92\",\"Add (5,6)=60 Failed, w=92\",\"Add (1,4)=72 Failed, w=92\",\"Add (2,5)=75 Failed, w=92\",\"Add (4,6)=78 Failed, w=92\",\"Add (1,3)=82 Failed, w=92\",\"Add (0,5)=84 Failed, w=92\",\"Add (1,5)=93 Failed, w=92\",\"Add (0,1)=98 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\":[[0,1,98],[0,2,56],[0,3,17],[0,4,60],[0,5,84],[0,6,10],[1,2,46],[1,3,82],[1,4,72],[1,5,93],[1,6,42],[2,3,26],[2,4,19],[2,5,75],[2,6,43],[3,4,14],[3,5,0],[3,6,45],[4,5,4],[4,6,78],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(4,5)=4,(0,6)=10,(3,4)=14,(0,3)=17,(2,4)=19,(2,3)=26,(1,6)=42,(2,6)=43,(3,6)=45,(1,2)=46,(0,2)=56,(0,4)=60,(5,6)=60,(1,4)=72,(2,5)=75,(4,6)=78,(1,3)=82,(0,5)=84,(1,5)=93,(0,1)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=3, Add (4,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=14\",\"Find(3)=3, Find(4)=3, Add (3,4)=14 Failed, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=31\",\"Find(2)=2, Find(4)=0, Add (2,4)=19 Succeeded, w=50\",\"Find(2)=0, Find(3)=0, Add (2,3)=26 Failed, w=50\",\"Find(1)=1, Find(6)=0, Add (1,6)=42 Succeeded, w=92\",\"Find(2)=0, Find(6)=0, Add (2,6)=43 Failed, w=92\",\"Find(3)=0, Find(6)=0, Add (3,6)=45 Failed, w=92\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=92\",\"Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=92\",\"Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=92\",\"Find(5)=0, Find(6)=0, Add (5,6)=60 Failed, w=92\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=92\",\"Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=92\",\"Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=92\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=92\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=92\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=92\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 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\":[[0,1,98],[0,2,56],[0,3,17],[0,4,60],[0,5,84],[0,6,10],[1,2,46],[1,3,82],[1,4,72],[1,5,93],[1,6,42],[2,3,26],[2,4,19],[2,5,75],[2,6,43],[3,4,14],[3,5,0],[3,6,45],[4,5,4],[4,6,78],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(4,5)=4,(0,6)=10,(3,4)=14,(0,3)=17,(2,4)=19,(2,3)=26,(1,6)=42,(2,6)=43,(3,6)=45,(1,2)=46,(0,2)=56,(0,4)=60,(5,6)=60,(1,4)=72,(2,5)=75,(4,6)=78,(1,3)=82,(0,5)=84,(1,5)=93,(0,1)=98]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=4, Find(5)=3, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0}, Find(3)=3, Find(4)=3, Add (3,4)=14 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=19 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=26 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=42 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=43 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=45 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=60 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=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)=78 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 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)=84 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=93 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)=98 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,59],[1,4,82],[2,3,21],[2,4,61],[3,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,59],[1,4,82],[2,3,21],[2,4,61],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,59],[1,4,82],[2,3,21],[2,4,61],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,59],[1,4,82],[2,3,21],[2,4,61],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21, w=21\",\"Add (0,1)=32, w=53\",\"Add (3,4)=46, w=99\",\"Add (0,2)=59, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,59],[1,4,82],[2,3,21],[2,4,61],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21 Succeeded, w=21\",\"Add (0,1)=32 Succeeded, w=53\",\"Add (3,4)=46 Succeeded, w=99\",\"Add (0,2)=59 Succeeded, w=158\",\"Add (2,4)=61 Failed, w=158\",\"Add (1,4)=82 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,59],[1,4,82],[2,3,21],[2,4,61],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,1)=32,(3,4)=46,(0,2)=59,(2,4)=61,(1,4)=82]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=53\",\"Find(3)=2, Find(4)=4, Add (3,4)=46 Succeeded, w=99\",\"Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=158\",\"Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=158\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,59],[1,4,82],[2,3,21],[2,4,61],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,1)=32,(3,4)=46,(0,2)=59,(2,4)=61,(1,4)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=46 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,11],[0,3,42],[0,4,63],[1,2,60],[1,3,64],[1,4,25],[2,3,31],[2,4,17],[3,4,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,11],[0,3,42],[0,4,63],[1,2,60],[1,3,64],[1,4,25],[2,3,31],[2,4,17],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,11],[0,3,42],[0,4,63],[1,2,60],[1,3,64],[1,4,25],[2,3,31],[2,4,17],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,11],[0,3,42],[0,4,63],[1,2,60],[1,3,64],[1,4,25],[2,3,31],[2,4,17],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (3,4)=12, w=23\",\"Add (2,4)=17, w=40\",\"Add (1,4)=25, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,11],[0,3,42],[0,4,63],[1,2,60],[1,3,64],[1,4,25],[2,3,31],[2,4,17],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (3,4)=12 Succeeded, w=23\",\"Add (2,4)=17 Succeeded, w=40\",\"Add (1,4)=25 Succeeded, w=65\",\"Add (2,3)=31 Failed, w=65\",\"Add (0,3)=42 Failed, w=65\",\"Add (1,2)=60 Failed, w=65\",\"Add (0,4)=63 Failed, w=65\",\"Add (1,3)=64 Failed, w=65\",\"Add (0,1)=66 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,11],[0,3,42],[0,4,63],[1,2,60],[1,3,64],[1,4,25],[2,3,31],[2,4,17],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(3,4)=12,(2,4)=17,(1,4)=25,(2,3)=31,(0,3)=42,(1,2)=60,(0,4)=63,(1,3)=64,(0,1)=66]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=23\",\"Find(2)=0, Find(4)=3, Add (2,4)=17 Succeeded, w=40\",\"Find(1)=1, Find(4)=0, Add (1,4)=25 Succeeded, w=65\",\"Find(2)=0, Find(3)=0, Add (2,3)=31 Failed, w=65\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=65\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=65\",\"Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=65\",\"Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=65\",\"Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,11],[0,3,42],[0,4,63],[1,2,60],[1,3,64],[1,4,25],[2,3,31],[2,4,17],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(3,4)=12,(2,4)=17,(1,4)=25,(2,3)=31,(0,3)=42,(1,2)=60,(0,4)=63,(1,3)=64,(0,1)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=17 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=25 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=31 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,5,63],[0,6,0],[1,3,93],[1,4,2],[1,6,76],[2,3,91],[2,5,68],[2,6,9],[3,4,26],[3,5,14],[4,5,40],[4,6,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,5,63],[0,6,0],[1,3,93],[1,4,2],[1,6,76],[2,3,91],[2,5,68],[2,6,9],[3,4,26],[3,5,14],[4,5,40],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,5,63],[0,6,0],[1,3,93],[1,4,2],[1,6,76],[2,3,91],[2,5,68],[2,6,9],[3,4,26],[3,5,14],[4,5,40],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,5,63],[0,6,0],[1,3,93],[1,4,2],[1,6,76],[2,3,91],[2,5,68],[2,6,9],[3,4,26],[3,5,14],[4,5,40],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (1,4)=2, w=2\",\"Add (2,6)=9, w=11\",\"Add (3,5)=14, w=25\",\"Add (0,1)=21, w=46\",\"Add (3,4)=26, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,5,63],[0,6,0],[1,3,93],[1,4,2],[1,6,76],[2,3,91],[2,5,68],[2,6,9],[3,4,26],[3,5,14],[4,5,40],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (1,4)=2 Succeeded, w=2\",\"Add (2,6)=9 Succeeded, w=11\",\"Add (3,5)=14 Succeeded, w=25\",\"Add (0,1)=21 Succeeded, w=46\",\"Add (3,4)=26 Succeeded, w=72\",\"Add (4,5)=40 Failed, w=72\",\"Add (0,5)=63 Failed, w=72\",\"Add (2,5)=68 Failed, w=72\",\"Add (1,6)=76 Failed, w=72\",\"Add (2,3)=91 Failed, w=72\",\"Add (1,3)=93 Failed, w=72\",\"Add (4,6)=94 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,5,63],[0,6,0],[1,3,93],[1,4,2],[1,6,76],[2,3,91],[2,5,68],[2,6,9],[3,4,26],[3,5,14],[4,5,40],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(1,4)=2,(2,6)=9,(3,5)=14,(0,1)=21,(3,4)=26,(4,5)=40,(0,5)=63,(2,5)=68,(1,6)=76,(2,3)=91,(1,3)=93,(4,6)=94]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(6)=0, Add (2,6)=9 Succeeded, w=11\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=46\",\"Find(3)=3, Find(4)=0, Add (3,4)=26 Succeeded, w=72\",\"Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=72\",\"Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=72\",\"Find(2)=0, Find(5)=0, Add (2,5)=68 Failed, w=72\",\"Find(1)=0, Find(6)=0, Add (1,6)=76 Failed, w=72\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=72\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=72\",\"Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,5,63],[0,6,0],[1,3,93],[1,4,2],[1,6,76],[2,3,91],[2,5,68],[2,6,9],[3,4,26],[3,5,14],[4,5,40],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(1,4)=2,(2,6)=9,(3,5)=14,(0,1)=21,(3,4)=26,(4,5)=40,(0,5)=63,(2,5)=68,(1,6)=76,(2,3)=91,(1,3)=93,(4,6)=94]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3, 6: 0}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 3, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=26 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=68 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=76 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,14],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,14],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,14],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,14],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14, w=14\",\"Add (2,3)=21, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,14],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14 Succeeded, w=14\",\"Add (2,3)=21 Succeeded, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,14],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(2,3)=21]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=1, Add (2,3)=21 Succeeded, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,14],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(2,3)=21]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=21 Succeeded, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,80],[0,2,17],[0,3,34],[0,5,84],[0,6,38],[0,7,50],[1,2,60],[1,3,53],[1,4,22],[1,6,14],[1,7,9],[2,4,94],[2,6,42],[2,7,33],[3,4,46],[3,5,3],[3,6,58],[3,7,27],[4,6,62],[4,7,79],[5,6,43],[5,7,35],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,17],[0,3,34],[0,5,84],[0,6,38],[0,7,50],[1,2,60],[1,3,53],[1,4,22],[1,6,14],[1,7,9],[2,4,94],[2,6,42],[2,7,33],[3,4,46],[3,5,3],[3,6,58],[3,7,27],[4,6,62],[4,7,79],[5,6,43],[5,7,35],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,17],[0,3,34],[0,5,84],[0,6,38],[0,7,50],[1,2,60],[1,3,53],[1,4,22],[1,6,14],[1,7,9],[2,4,94],[2,6,42],[2,7,33],[3,4,46],[3,5,3],[3,6,58],[3,7,27],[4,6,62],[4,7,79],[5,6,43],[5,7,35],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (6,7)\",\"Add (1,7)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (3,7)\",\"Add (2,7)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,17],[0,3,34],[0,5,84],[0,6,38],[0,7,50],[1,2,60],[1,3,53],[1,4,22],[1,6,14],[1,7,9],[2,4,94],[2,6,42],[2,7,33],[3,4,46],[3,5,3],[3,6,58],[3,7,27],[4,6,62],[4,7,79],[5,6,43],[5,7,35],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (6,7)=8, w=11\",\"Add (1,7)=9, w=20\",\"Add (0,2)=17, w=37\",\"Add (1,4)=22, w=59\",\"Add (3,7)=27, w=86\",\"Add (2,7)=33, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,17],[0,3,34],[0,5,84],[0,6,38],[0,7,50],[1,2,60],[1,3,53],[1,4,22],[1,6,14],[1,7,9],[2,4,94],[2,6,42],[2,7,33],[3,4,46],[3,5,3],[3,6,58],[3,7,27],[4,6,62],[4,7,79],[5,6,43],[5,7,35],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (6,7)=8 Succeeded, w=11\",\"Add (1,7)=9 Succeeded, w=20\",\"Add (1,6)=14 Failed, w=20\",\"Add (0,2)=17 Succeeded, w=37\",\"Add (1,4)=22 Succeeded, w=59\",\"Add (3,7)=27 Succeeded, w=86\",\"Add (2,7)=33 Succeeded, w=119\",\"Add (0,3)=34 Failed, w=119\",\"Add (5,7)=35 Failed, w=119\",\"Add (0,6)=38 Failed, w=119\",\"Add (2,6)=42 Failed, w=119\",\"Add (5,6)=43 Failed, w=119\",\"Add (3,4)=46 Failed, w=119\",\"Add (0,7)=50 Failed, w=119\",\"Add (1,3)=53 Failed, w=119\",\"Add (3,6)=58 Failed, w=119\",\"Add (1,2)=60 Failed, w=119\",\"Add (4,6)=62 Failed, w=119\",\"Add (4,7)=79 Failed, w=119\",\"Add (0,1)=80 Failed, w=119\",\"Add (0,5)=84 Failed, w=119\",\"Add (2,4)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,17],[0,3,34],[0,5,84],[0,6,38],[0,7,50],[1,2,60],[1,3,53],[1,4,22],[1,6,14],[1,7,9],[2,4,94],[2,6,42],[2,7,33],[3,4,46],[3,5,3],[3,6,58],[3,7,27],[4,6,62],[4,7,79],[5,6,43],[5,7,35],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(6,7)=8,(1,7)=9,(1,6)=14,(0,2)=17,(1,4)=22,(3,7)=27,(2,7)=33,(0,3)=34,(5,7)=35,(0,6)=38,(2,6)=42,(5,6)=43,(3,4)=46,(0,7)=50,(1,3)=53,(3,6)=58,(1,2)=60,(4,6)=62,(4,7)=79,(0,1)=80,(0,5)=84,(2,4)=94]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=11\",\"Find(1)=1, Find(7)=6, Add (1,7)=9 Succeeded, w=20\",\"Find(1)=6, Find(6)=6, Add (1,6)=14 Failed, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=37\",\"Find(1)=6, Find(4)=4, Add (1,4)=22 Succeeded, w=59\",\"Find(3)=3, Find(7)=6, Add (3,7)=27 Succeeded, w=86\",\"Find(2)=0, Find(7)=3, Add (2,7)=33 Succeeded, w=119\",\"Find(0)=3, Find(3)=3, Add (0,3)=34 Failed, w=119\",\"Find(5)=3, Find(7)=3, Add (5,7)=35 Failed, w=119\",\"Find(0)=3, Find(6)=3, Add (0,6)=38 Failed, w=119\",\"Find(2)=3, Find(6)=3, Add (2,6)=42 Failed, w=119\",\"Find(5)=3, Find(6)=3, Add (5,6)=43 Failed, w=119\",\"Find(3)=3, Find(4)=3, Add (3,4)=46 Failed, w=119\",\"Find(0)=3, Find(7)=3, Add (0,7)=50 Failed, w=119\",\"Find(1)=3, Find(3)=3, Add (1,3)=53 Failed, w=119\",\"Find(3)=3, Find(6)=3, Add (3,6)=58 Failed, w=119\",\"Find(1)=3, Find(2)=3, Add (1,2)=60 Failed, w=119\",\"Find(4)=3, Find(6)=3, Add (4,6)=62 Failed, w=119\",\"Find(4)=3, Find(7)=3, Add (4,7)=79 Failed, w=119\",\"Find(0)=3, Find(1)=3, Add (0,1)=80 Failed, w=119\",\"Find(0)=3, Find(5)=3, Add (0,5)=84 Failed, w=119\",\"Find(2)=3, Find(4)=3, Add (2,4)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,17],[0,3,34],[0,5,84],[0,6,38],[0,7,50],[1,2,60],[1,3,53],[1,4,22],[1,6,14],[1,7,9],[2,4,94],[2,6,42],[2,7,33],[3,4,46],[3,5,3],[3,6,58],[3,7,27],[4,6,62],[4,7,79],[5,6,43],[5,7,35],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(6,7)=8,(1,7)=9,(1,6)=14,(0,2)=17,(1,4)=22,(3,7)=27,(2,7)=33,(0,3)=34,(5,7)=35,(0,6)=38,(2,6)=42,(5,6)=43,(3,4)=46,(0,7)=50,(1,3)=53,(3,6)=58,(1,2)=60,(4,6)=62,(4,7)=79,(0,1)=80,(0,5)=84,(2,4)=94]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(1)=1, Find(7)=6, Add (1,7)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(1)=6, Find(6)=6, Add (1,6)=14 Failed, w=20\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=37\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 3, 4: 6, 5: 3, 6: 6, 7: 6}, Find(1)=6, Find(4)=4, Add (1,4)=22 Succeeded, w=59\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 3, 4: 6, 5: 3, 6: 3, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=27 Succeeded, w=86\",\"Parent: {0: 3, 1: 6, 2: 0, 3: 3, 4: 6, 5: 3, 6: 3, 7: 3}, Find(2)=0, Find(7)=3, Add (2,7)=33 Succeeded, w=119\",\"Parent: {0: 3, 1: 6, 2: 0, 3: 3, 4: 6, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=34 Failed, w=119\",\"Parent: {0: 3, 1: 6, 2: 0, 3: 3, 4: 6, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=35 Failed, w=119\",\"Parent: {0: 3, 1: 6, 2: 0, 3: 3, 4: 6, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=38 Failed, w=119\",\"Parent: {0: 3, 1: 6, 2: 3, 3: 3, 4: 6, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=42 Failed, w=119\",\"Parent: {0: 3, 1: 6, 2: 3, 3: 3, 4: 6, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=43 Failed, w=119\",\"Parent: {0: 3, 1: 6, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=46 Failed, w=119\",\"Parent: {0: 3, 1: 6, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=50 Failed, w=119\",\"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)=53 Failed, w=119\",\"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)=58 Failed, w=119\",\"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)=60 Failed, w=119\",\"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=119\",\"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)=79 Failed, w=119\",\"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)=80 Failed, w=119\",\"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)=84 Failed, w=119\",\"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)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,92],[0,2,76],[1,2,74],[1,3,20],[2,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,76],[1,2,74],[1,3,20],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,76],[1,2,74],[1,3,20],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,76],[1,2,74],[1,3,20],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (1,3)=20, w=38\",\"Add (0,2)=76, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,76],[1,2,74],[1,3,20],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (1,3)=20 Succeeded, w=38\",\"Add (1,2)=74 Failed, w=38\",\"Add (0,2)=76 Succeeded, w=114\",\"Add (0,1)=92 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,76],[1,2,74],[1,3,20],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(1,3)=20,(1,2)=74,(0,2)=76,(0,1)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(1)=1, Find(3)=2, Add (1,3)=20 Succeeded, w=38\",\"Find(1)=2, Find(2)=2, Add (1,2)=74 Failed, w=38\",\"Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=114\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,76],[1,2,74],[1,3,20],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(1,3)=20,(1,2)=74,(0,2)=76,(0,1)=92]\",\"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(3)=2, Add (1,3)=20 Succeeded, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=74 Failed, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,100],[0,2,73],[0,4,45],[0,5,83],[0,6,93],[0,7,35],[1,2,21],[1,3,14],[1,4,84],[1,5,99],[1,6,92],[2,3,1],[2,4,79],[2,7,76],[3,4,24],[3,5,49],[4,5,12],[4,6,69],[4,7,46],[5,6,4],[6,7,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,73],[0,4,45],[0,5,83],[0,6,93],[0,7,35],[1,2,21],[1,3,14],[1,4,84],[1,5,99],[1,6,92],[2,3,1],[2,4,79],[2,7,76],[3,4,24],[3,5,49],[4,5,12],[4,6,69],[4,7,46],[5,6,4],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,73],[0,4,45],[0,5,83],[0,6,93],[0,7,35],[1,2,21],[1,3,14],[1,4,84],[1,5,99],[1,6,92],[2,3,1],[2,4,79],[2,7,76],[3,4,24],[3,5,49],[4,5,12],[4,6,69],[4,7,46],[5,6,4],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (5,6)\",\"Add (4,5)\",\"Add (6,7)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,7)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,73],[0,4,45],[0,5,83],[0,6,93],[0,7,35],[1,2,21],[1,3,14],[1,4,84],[1,5,99],[1,6,92],[2,3,1],[2,4,79],[2,7,76],[3,4,24],[3,5,49],[4,5,12],[4,6,69],[4,7,46],[5,6,4],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (5,6)=4, w=5\",\"Add (4,5)=12, w=17\",\"Add (6,7)=13, w=30\",\"Add (1,3)=14, w=44\",\"Add (3,4)=24, w=68\",\"Add (0,7)=35, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,73],[0,4,45],[0,5,83],[0,6,93],[0,7,35],[1,2,21],[1,3,14],[1,4,84],[1,5,99],[1,6,92],[2,3,1],[2,4,79],[2,7,76],[3,4,24],[3,5,49],[4,5,12],[4,6,69],[4,7,46],[5,6,4],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (5,6)=4 Succeeded, w=5\",\"Add (4,5)=12 Succeeded, w=17\",\"Add (6,7)=13 Succeeded, w=30\",\"Add (1,3)=14 Succeeded, w=44\",\"Add (1,2)=21 Failed, w=44\",\"Add (3,4)=24 Succeeded, w=68\",\"Add (0,7)=35 Succeeded, w=103\",\"Add (0,4)=45 Failed, w=103\",\"Add (4,7)=46 Failed, w=103\",\"Add (3,5)=49 Failed, w=103\",\"Add (4,6)=69 Failed, w=103\",\"Add (0,2)=73 Failed, w=103\",\"Add (2,7)=76 Failed, w=103\",\"Add (2,4)=79 Failed, w=103\",\"Add (0,5)=83 Failed, w=103\",\"Add (1,4)=84 Failed, w=103\",\"Add (1,6)=92 Failed, w=103\",\"Add (0,6)=93 Failed, w=103\",\"Add (1,5)=99 Failed, w=103\",\"Add (0,1)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,73],[0,4,45],[0,5,83],[0,6,93],[0,7,35],[1,2,21],[1,3,14],[1,4,84],[1,5,99],[1,6,92],[2,3,1],[2,4,79],[2,7,76],[3,4,24],[3,5,49],[4,5,12],[4,6,69],[4,7,46],[5,6,4],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(5,6)=4,(4,5)=12,(6,7)=13,(1,3)=14,(1,2)=21,(3,4)=24,(0,7)=35,(0,4)=45,(4,7)=46,(3,5)=49,(4,6)=69,(0,2)=73,(2,7)=76,(2,4)=79,(0,5)=83,(1,4)=84,(1,6)=92,(0,6)=93,(1,5)=99,(0,1)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=5\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=17\",\"Find(6)=5, Find(7)=7, Add (6,7)=13 Succeeded, w=30\",\"Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=44\",\"Find(1)=2, Find(2)=2, Add (1,2)=21 Failed, w=44\",\"Find(3)=2, Find(4)=5, Add (3,4)=24 Succeeded, w=68\",\"Find(0)=0, Find(7)=2, Add (0,7)=35 Succeeded, w=103\",\"Find(0)=2, Find(4)=2, Add (0,4)=45 Failed, w=103\",\"Find(4)=2, Find(7)=2, Add (4,7)=46 Failed, w=103\",\"Find(3)=2, Find(5)=2, Add (3,5)=49 Failed, w=103\",\"Find(4)=2, Find(6)=2, Add (4,6)=69 Failed, w=103\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=103\",\"Find(2)=2, Find(7)=2, Add (2,7)=76 Failed, w=103\",\"Find(2)=2, Find(4)=2, Add (2,4)=79 Failed, w=103\",\"Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=103\",\"Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=103\",\"Find(1)=2, Find(6)=2, Add (1,6)=92 Failed, w=103\",\"Find(0)=2, Find(6)=2, Add (0,6)=93 Failed, w=103\",\"Find(1)=2, Find(5)=2, Add (1,5)=99 Failed, w=103\",\"Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,73],[0,4,45],[0,5,83],[0,6,93],[0,7,35],[1,2,21],[1,3,14],[1,4,84],[1,5,99],[1,6,92],[2,3,1],[2,4,79],[2,7,76],[3,4,24],[3,5,49],[4,5,12],[4,6,69],[4,7,46],[5,6,4],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(5,6)=4,(4,5)=12,(6,7)=13,(1,3)=14,(1,2)=21,(3,4)=24,(0,7)=35,(0,4)=45,(4,7)=46,(3,5)=49,(4,6)=69,(0,2)=73,(2,7)=76,(2,4)=79,(0,5)=83,(1,4)=84,(1,6)=92,(0,6)=93,(1,5)=99,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=7, Add (6,7)=13 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=2, Find(2)=2, Add (1,2)=21 Failed, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 5, 7: 5}, Find(3)=2, Find(4)=5, Add (3,4)=24 Succeeded, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 5, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=35 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=45 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=46 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=49 Failed, w=103\",\"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)=69 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=76 Failed, w=103\",\"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)=79 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=92 Failed, w=103\",\"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)=93 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=99 Failed, w=103\",\"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)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,42],[0,4,0],[1,3,32],[1,4,24],[2,4,54],[3,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,42],[0,4,0],[1,3,32],[1,4,24],[2,4,54],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,42],[0,4,0],[1,3,32],[1,4,24],[2,4,54],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,42],[0,4,0],[1,3,32],[1,4,24],[2,4,54],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (1,4)=24, w=24\",\"Add (1,3)=32, w=56\",\"Add (2,4)=54, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,42],[0,4,0],[1,3,32],[1,4,24],[2,4,54],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (1,4)=24 Succeeded, w=24\",\"Add (1,3)=32 Succeeded, w=56\",\"Add (0,3)=42 Failed, w=56\",\"Add (3,4)=48 Failed, w=56\",\"Add (2,4)=54 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,42],[0,4,0],[1,3,32],[1,4,24],[2,4,54],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(1,4)=24,(1,3)=32,(0,3)=42,(3,4)=48,(2,4)=54]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=0, Add (1,4)=24 Succeeded, w=24\",\"Find(1)=0, Find(3)=3, Add (1,3)=32 Succeeded, w=56\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=56\",\"Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=56\",\"Find(2)=2, Find(4)=0, Add (2,4)=54 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,42],[0,4,0],[1,3,32],[1,4,24],[2,4,54],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(1,4)=24,(1,3)=32,(0,3)=42,(3,4)=48,(2,4)=54]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=32 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=54 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,84],[0,3,25],[0,5,30],[1,3,12],[1,4,15],[2,3,53],[2,5,93],[3,4,30],[3,5,50],[4,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,3,25],[0,5,30],[1,3,12],[1,4,15],[2,3,53],[2,5,93],[3,4,30],[3,5,50],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,3,25],[0,5,30],[1,3,12],[1,4,15],[2,3,53],[2,5,93],[3,4,30],[3,5,50],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,3,25],[0,5,30],[1,3,12],[1,4,15],[2,3,53],[2,5,93],[3,4,30],[3,5,50],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (1,4)=15, w=27\",\"Add (0,3)=25, w=52\",\"Add (0,5)=30, w=82\",\"Add (2,3)=53, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,3,25],[0,5,30],[1,3,12],[1,4,15],[2,3,53],[2,5,93],[3,4,30],[3,5,50],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (1,4)=15 Succeeded, w=27\",\"Add (0,3)=25 Succeeded, w=52\",\"Add (0,5)=30 Succeeded, w=82\",\"Add (3,4)=30 Failed, w=82\",\"Add (4,5)=38 Failed, w=82\",\"Add (3,5)=50 Failed, w=82\",\"Add (2,3)=53 Succeeded, w=135\",\"Add (0,1)=84 Failed, w=135\",\"Add (2,5)=93 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,3,25],[0,5,30],[1,3,12],[1,4,15],[2,3,53],[2,5,93],[3,4,30],[3,5,50],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(1,4)=15,(0,3)=25,(0,5)=30,(3,4)=30,(4,5)=38,(3,5)=50,(2,3)=53,(0,1)=84,(2,5)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=27\",\"Find(0)=0, Find(3)=1, Add (0,3)=25 Succeeded, w=52\",\"Find(0)=1, Find(5)=5, Add (0,5)=30 Succeeded, w=82\",\"Find(3)=1, Find(4)=1, Add (3,4)=30 Failed, w=82\",\"Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=82\",\"Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=82\",\"Find(2)=2, Find(3)=1, Add (2,3)=53 Succeeded, w=135\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=135\",\"Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,3,25],[0,5,30],[1,3,12],[1,4,15],[2,3,53],[2,5,93],[3,4,30],[3,5,50],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(1,4)=15,(0,3)=25,(0,5)=30,(3,4)=30,(4,5)=38,(3,5)=50,(2,3)=53,(0,1)=84,(2,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=25 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=30 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=30 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=53 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,9],[0,3,95],[1,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,9],[0,3,95],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,9],[0,3,95],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,9],[0,3,95],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,1)=57, w=66\",\"Add (1,3)=72, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,9],[0,3,95],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,1)=57 Succeeded, w=66\",\"Add (1,3)=72 Succeeded, w=138\",\"Add (0,3)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,9],[0,3,95],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,1)=57,(1,3)=72,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=66\",\"Find(1)=0, Find(3)=3, Add (1,3)=72 Succeeded, w=138\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,9],[0,3,95],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,1)=57,(1,3)=72,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=72 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,7],[0,2,23],[0,3,23],[0,4,40],[1,2,63],[1,3,0],[1,4,28],[2,3,99],[2,4,88],[3,4,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,23],[0,3,23],[0,4,40],[1,2,63],[1,3,0],[1,4,28],[2,3,99],[2,4,88],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,23],[0,3,23],[0,4,40],[1,2,63],[1,3,0],[1,4,28],[2,3,99],[2,4,88],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,23],[0,3,23],[0,4,40],[1,2,63],[1,3,0],[1,4,28],[2,3,99],[2,4,88],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,1)=7, w=7\",\"Add (0,2)=23, w=30\",\"Add (1,4)=28, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,23],[0,3,23],[0,4,40],[1,2,63],[1,3,0],[1,4,28],[2,3,99],[2,4,88],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,2)=23 Succeeded, w=30\",\"Add (0,3)=23 Failed, w=30\",\"Add (1,4)=28 Succeeded, w=58\",\"Add (0,4)=40 Failed, w=58\",\"Add (1,2)=63 Failed, w=58\",\"Add (3,4)=73 Failed, w=58\",\"Add (2,4)=88 Failed, w=58\",\"Add (2,3)=99 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,23],[0,3,23],[0,4,40],[1,2,63],[1,3,0],[1,4,28],[2,3,99],[2,4,88],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=7,(0,2)=23,(0,3)=23,(1,4)=28,(0,4)=40,(1,2)=63,(3,4)=73,(2,4)=88,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=1, Find(2)=2, Add (0,2)=23 Succeeded, w=30\",\"Find(0)=1, Find(3)=1, Add (0,3)=23 Failed, w=30\",\"Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=58\",\"Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=58\",\"Find(1)=1, Find(2)=1, Add (1,2)=63 Failed, w=58\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=58\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=58\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,23],[0,3,23],[0,4,40],[1,2,63],[1,3,0],[1,4,28],[2,3,99],[2,4,88],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=7,(0,2)=23,(0,3)=23,(1,4)=28,(0,4)=40,(1,2)=63,(3,4)=73,(2,4)=88,(2,3)=99]\",\"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: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(2)=2, Add (0,2)=23 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(3)=1, Add (0,3)=23 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=63 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,97],[0,2,9],[1,2,46],[1,3,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,9],[1,2,46],[1,3,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,9],[1,2,46],[1,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,9],[1,2,46],[1,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (1,2)=46, w=55\",\"Add (1,3)=94, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,9],[1,2,46],[1,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (1,2)=46 Succeeded, w=55\",\"Add (1,3)=94 Succeeded, w=149\",\"Add (0,1)=97 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,9],[1,2,46],[1,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(1,2)=46,(1,3)=94,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=0, Add (1,2)=46 Succeeded, w=55\",\"Find(1)=0, Find(3)=3, Add (1,3)=94 Succeeded, w=149\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,9],[1,2,46],[1,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(1,2)=46,(1,3)=94,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=46 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=94 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,71],[0,3,75],[0,4,93],[1,2,90],[1,3,90],[1,4,30],[2,3,83],[2,4,16],[2,5,99],[4,5,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,71],[0,3,75],[0,4,93],[1,2,90],[1,3,90],[1,4,30],[2,3,83],[2,4,16],[2,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,71],[0,3,75],[0,4,93],[1,2,90],[1,3,90],[1,4,30],[2,3,83],[2,4,16],[2,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,71],[0,3,75],[0,4,93],[1,2,90],[1,3,90],[1,4,30],[2,3,83],[2,4,16],[2,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\",\"Add (2,4)=16, w=29\",\"Add (1,4)=30, w=59\",\"Add (0,3)=75, w=134\",\"Add (4,5)=86, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,71],[0,3,75],[0,4,93],[1,2,90],[1,3,90],[1,4,30],[2,3,83],[2,4,16],[2,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\",\"Add (2,4)=16 Succeeded, w=29\",\"Add (1,4)=30 Succeeded, w=59\",\"Add (0,2)=71 Failed, w=59\",\"Add (0,3)=75 Succeeded, w=134\",\"Add (2,3)=83 Failed, w=134\",\"Add (4,5)=86 Succeeded, w=220\",\"Add (1,2)=90 Failed, w=220\",\"Add (1,3)=90 Failed, w=220\",\"Add (0,4)=93 Failed, w=220\",\"Add (2,5)=99 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,71],[0,3,75],[0,4,93],[1,2,90],[1,3,90],[1,4,30],[2,3,83],[2,4,16],[2,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(2,4)=16,(1,4)=30,(0,2)=71,(0,3)=75,(2,3)=83,(4,5)=86,(1,2)=90,(1,3)=90,(0,4)=93,(2,5)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=29\",\"Find(1)=0, Find(4)=2, Add (1,4)=30 Succeeded, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=59\",\"Find(0)=0, Find(3)=3, Add (0,3)=75 Succeeded, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=134\",\"Find(4)=0, Find(5)=5, Add (4,5)=86 Succeeded, w=220\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=220\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=220\",\"Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=220\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,71],[0,3,75],[0,4,93],[1,2,90],[1,3,90],[1,4,30],[2,3,83],[2,4,16],[2,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(2,4)=16,(1,4)=30,(0,2)=71,(0,3)=75,(2,3)=83,(4,5)=86,(1,2)=90,(1,3)=90,(0,4)=93,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5}, Find(1)=0, Find(4)=2, Add (1,4)=30 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=75 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=86 Succeeded, w=220\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=220\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=220\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=220\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,61],[0,3,43],[0,4,49],[1,2,44],[1,3,32],[1,4,51],[2,3,8],[2,4,6],[3,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,61],[0,3,43],[0,4,49],[1,2,44],[1,3,32],[1,4,51],[2,3,8],[2,4,6],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,61],[0,3,43],[0,4,49],[1,2,44],[1,3,32],[1,4,51],[2,3,8],[2,4,6],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,61],[0,3,43],[0,4,49],[1,2,44],[1,3,32],[1,4,51],[2,3,8],[2,4,6],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (2,3)=8, w=14\",\"Add (0,1)=14, w=28\",\"Add (1,3)=32, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,61],[0,3,43],[0,4,49],[1,2,44],[1,3,32],[1,4,51],[2,3,8],[2,4,6],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (2,3)=8 Succeeded, w=14\",\"Add (0,1)=14 Succeeded, w=28\",\"Add (1,3)=32 Succeeded, w=60\",\"Add (0,3)=43 Failed, w=60\",\"Add (1,2)=44 Failed, w=60\",\"Add (0,4)=49 Failed, w=60\",\"Add (1,4)=51 Failed, w=60\",\"Add (3,4)=52 Failed, w=60\",\"Add (0,2)=61 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,61],[0,3,43],[0,4,49],[1,2,44],[1,3,32],[1,4,51],[2,3,8],[2,4,6],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(2,3)=8,(0,1)=14,(1,3)=32,(0,3)=43,(1,2)=44,(0,4)=49,(1,4)=51,(3,4)=52,(0,2)=61]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=28\",\"Find(1)=0, Find(3)=2, Add (1,3)=32 Succeeded, w=60\",\"Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=60\",\"Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=60\",\"Find(0)=0, Find(4)=0, Add (0,4)=49 Failed, w=60\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=60\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=60\",\"Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,61],[0,3,43],[0,4,49],[1,2,44],[1,3,32],[1,4,51],[2,3,8],[2,4,6],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(2,3)=8,(0,1)=14,(1,3)=32,(0,3)=43,(1,2)=44,(0,4)=49,(1,4)=51,(3,4)=52,(0,2)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(3)=2, Add (1,3)=32 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=49 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,11],[0,2,9],[0,3,27],[0,5,58],[0,6,81],[1,2,96],[1,3,79],[1,5,1],[1,6,99],[2,3,64],[2,5,94],[2,6,50],[3,4,97],[3,5,47],[3,6,0],[4,5,22],[4,6,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,9],[0,3,27],[0,5,58],[0,6,81],[1,2,96],[1,3,79],[1,5,1],[1,6,99],[2,3,64],[2,5,94],[2,6,50],[3,4,97],[3,5,47],[3,6,0],[4,5,22],[4,6,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,9],[0,3,27],[0,5,58],[0,6,81],[1,2,96],[1,3,79],[1,5,1],[1,6,99],[2,3,64],[2,5,94],[2,6,50],[3,4,97],[3,5,47],[3,6,0],[4,5,22],[4,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (0,3)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,9],[0,3,27],[0,5,58],[0,6,81],[1,2,96],[1,3,79],[1,5,1],[1,6,99],[2,3,64],[2,5,94],[2,6,50],[3,4,97],[3,5,47],[3,6,0],[4,5,22],[4,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (1,5)=1, w=1\",\"Add (0,2)=9, w=10\",\"Add (0,1)=11, w=21\",\"Add (4,5)=22, w=43\",\"Add (0,3)=27, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,9],[0,3,27],[0,5,58],[0,6,81],[1,2,96],[1,3,79],[1,5,1],[1,6,99],[2,3,64],[2,5,94],[2,6,50],[3,4,97],[3,5,47],[3,6,0],[4,5,22],[4,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (1,5)=1 Succeeded, w=1\",\"Add (0,2)=9 Succeeded, w=10\",\"Add (0,1)=11 Succeeded, w=21\",\"Add (4,5)=22 Succeeded, w=43\",\"Add (0,3)=27 Succeeded, w=70\",\"Add (3,5)=47 Failed, w=70\",\"Add (2,6)=50 Failed, w=70\",\"Add (0,5)=58 Failed, w=70\",\"Add (2,3)=64 Failed, w=70\",\"Add (4,6)=69 Failed, w=70\",\"Add (1,3)=79 Failed, w=70\",\"Add (0,6)=81 Failed, w=70\",\"Add (2,5)=94 Failed, w=70\",\"Add (1,2)=96 Failed, w=70\",\"Add (3,4)=97 Failed, w=70\",\"Add (1,6)=99 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,9],[0,3,27],[0,5,58],[0,6,81],[1,2,96],[1,3,79],[1,5,1],[1,6,99],[2,3,64],[2,5,94],[2,6,50],[3,4,97],[3,5,47],[3,6,0],[4,5,22],[4,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(1,5)=1,(0,2)=9,(0,1)=11,(4,5)=22,(0,3)=27,(3,5)=47,(2,6)=50,(0,5)=58,(2,3)=64,(4,6)=69,(1,3)=79,(0,6)=81,(2,5)=94,(1,2)=96,(3,4)=97,(1,6)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=21\",\"Find(4)=4, Find(5)=0, Add (4,5)=22 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=70\",\"Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=70\",\"Find(2)=0, Find(6)=0, Add (2,6)=50 Failed, w=70\",\"Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=70\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=70\",\"Find(4)=0, Find(6)=0, Add (4,6)=69 Failed, w=70\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=70\",\"Find(0)=0, Find(6)=0, Add (0,6)=81 Failed, w=70\",\"Find(2)=0, Find(5)=0, Add (2,5)=94 Failed, w=70\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=70\",\"Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,9],[0,3,27],[0,5,58],[0,6,81],[1,2,96],[1,3,79],[1,5,1],[1,6,99],[2,3,64],[2,5,94],[2,6,50],[3,4,97],[3,5,47],[3,6,0],[4,5,22],[4,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(1,5)=1,(0,2)=9,(0,1)=11,(4,5)=22,(0,3)=27,(3,5)=47,(2,6)=50,(0,5)=58,(2,3)=64,(4,6)=69,(1,3)=79,(0,6)=81,(2,5)=94,(1,2)=96,(3,4)=97,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 1, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3}, Find(4)=4, Find(5)=0, Add (4,5)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=50 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=69 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=81 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=94 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,91],[1,2,50],[1,3,39],[2,3,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,39],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,39],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,39],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=39, w=39\",\"Add (1,2)=50, w=89\",\"Add (0,2)=91, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,39],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=39 Succeeded, w=39\",\"Add (1,2)=50 Succeeded, w=89\",\"Add (2,3)=64 Failed, w=89\",\"Add (0,2)=91 Succeeded, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,39],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=39,(1,2)=50,(2,3)=64,(0,2)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=89\",\"Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=89\",\"Find(0)=0, Find(2)=1, Add (0,2)=91 Succeeded, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,39],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=39,(1,2)=50,(2,3)=64,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=89\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=91 Succeeded, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,4],[1,2,20],[2,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,4],[1,2,20],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,4],[1,2,20],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,4],[1,2,20],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (1,2)=20, w=24\",\"Add (2,3)=55, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,4],[1,2,20],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (1,2)=20 Succeeded, w=24\",\"Add (0,1)=33 Failed, w=24\",\"Add (2,3)=55 Succeeded, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,4],[1,2,20],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,2)=20,(0,1)=33,(2,3)=55]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=24\",\"Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=24\",\"Find(2)=0, Find(3)=3, Add (2,3)=55 Succeeded, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,4],[1,2,20],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,2)=20,(0,1)=33,(2,3)=55]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=55 Succeeded, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,77],[0,2,48],[0,3,39],[0,4,93],[0,5,87],[2,4,28],[2,5,25],[3,4,98],[3,5,87],[4,5,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,48],[0,3,39],[0,4,93],[0,5,87],[2,4,28],[2,5,25],[3,4,98],[3,5,87],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,48],[0,3,39],[0,4,93],[0,5,87],[2,4,28],[2,5,25],[3,4,98],[3,5,87],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,48],[0,3,39],[0,4,93],[0,5,87],[2,4,28],[2,5,25],[3,4,98],[3,5,87],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=25, w=25\",\"Add (2,4)=28, w=53\",\"Add (0,3)=39, w=92\",\"Add (0,2)=48, w=140\",\"Add (0,1)=77, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,48],[0,3,39],[0,4,93],[0,5,87],[2,4,28],[2,5,25],[3,4,98],[3,5,87],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=25 Succeeded, w=25\",\"Add (2,4)=28 Succeeded, w=53\",\"Add (0,3)=39 Succeeded, w=92\",\"Add (4,5)=44 Failed, w=92\",\"Add (0,2)=48 Succeeded, w=140\",\"Add (0,1)=77 Succeeded, w=217\",\"Add (0,5)=87 Failed, w=217\",\"Add (3,5)=87 Failed, w=217\",\"Add (0,4)=93 Failed, w=217\",\"Add (3,4)=98 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,48],[0,3,39],[0,4,93],[0,5,87],[2,4,28],[2,5,25],[3,4,98],[3,5,87],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=25,(2,4)=28,(0,3)=39,(4,5)=44,(0,2)=48,(0,1)=77,(0,5)=87,(3,5)=87,(0,4)=93,(3,4)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=25 Succeeded, w=25\",\"Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=53\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=92\",\"Find(4)=2, Find(5)=2, Add (4,5)=44 Failed, w=92\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=140\",\"Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=217\",\"Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=217\",\"Find(3)=0, Find(5)=0, Add (3,5)=87 Failed, w=217\",\"Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=217\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,48],[0,3,39],[0,4,93],[0,5,87],[2,4,28],[2,5,25],[3,4,98],[3,5,87],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=25,(2,4)=28,(0,3)=39,(4,5)=44,(0,2)=48,(0,1)=77,(0,5)=87,(3,5)=87,(0,4)=93,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=92\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=44 Failed, w=92\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=87 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,31],[0,2,81],[0,3,63],[1,2,65],[1,3,55],[2,3,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,81],[0,3,63],[1,2,65],[1,3,55],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,81],[0,3,63],[1,2,65],[1,3,55],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,81],[0,3,63],[1,2,65],[1,3,55],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (0,1)=31, w=47\",\"Add (1,3)=55, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,81],[0,3,63],[1,2,65],[1,3,55],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (0,1)=31 Succeeded, w=47\",\"Add (1,3)=55 Succeeded, w=102\",\"Add (0,3)=63 Failed, w=102\",\"Add (1,2)=65 Failed, w=102\",\"Add (0,2)=81 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,81],[0,3,63],[1,2,65],[1,3,55],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,1)=31,(1,3)=55,(0,3)=63,(1,2)=65,(0,2)=81]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=47\",\"Find(1)=0, Find(3)=2, Add (1,3)=55 Succeeded, w=102\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,81],[0,3,63],[1,2,65],[1,3,55],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,1)=31,(1,3)=55,(0,3)=63,(1,2)=65,(0,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(3)=2, Add (1,3)=55 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,70],[0,2,7],[0,3,13],[0,4,29],[0,5,43],[0,6,79],[1,2,77],[1,4,25],[1,5,45],[1,6,48],[2,3,75],[2,4,85],[2,5,75],[3,4,76],[3,5,15],[3,6,73],[4,5,50],[4,6,14],[5,6,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,7],[0,3,13],[0,4,29],[0,5,43],[0,6,79],[1,2,77],[1,4,25],[1,5,45],[1,6,48],[2,3,75],[2,4,85],[2,5,75],[3,4,76],[3,5,15],[3,6,73],[4,5,50],[4,6,14],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,7],[0,3,13],[0,4,29],[0,5,43],[0,6,79],[1,2,77],[1,4,25],[1,5,45],[1,6,48],[2,3,75],[2,4,85],[2,5,75],[3,4,76],[3,5,15],[3,6,73],[4,5,50],[4,6,14],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,7],[0,3,13],[0,4,29],[0,5,43],[0,6,79],[1,2,77],[1,4,25],[1,5,45],[1,6,48],[2,3,75],[2,4,85],[2,5,75],[3,4,76],[3,5,15],[3,6,73],[4,5,50],[4,6,14],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,3)=13, w=20\",\"Add (4,6)=14, w=34\",\"Add (3,5)=15, w=49\",\"Add (1,4)=25, w=74\",\"Add (0,4)=29, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,7],[0,3,13],[0,4,29],[0,5,43],[0,6,79],[1,2,77],[1,4,25],[1,5,45],[1,6,48],[2,3,75],[2,4,85],[2,5,75],[3,4,76],[3,5,15],[3,6,73],[4,5,50],[4,6,14],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,3)=13 Succeeded, w=20\",\"Add (4,6)=14 Succeeded, w=34\",\"Add (3,5)=15 Succeeded, w=49\",\"Add (1,4)=25 Succeeded, w=74\",\"Add (0,4)=29 Succeeded, w=103\",\"Add (0,5)=43 Failed, w=103\",\"Add (1,5)=45 Failed, w=103\",\"Add (1,6)=48 Failed, w=103\",\"Add (4,5)=50 Failed, w=103\",\"Add (5,6)=64 Failed, w=103\",\"Add (0,1)=70 Failed, w=103\",\"Add (3,6)=73 Failed, w=103\",\"Add (2,3)=75 Failed, w=103\",\"Add (2,5)=75 Failed, w=103\",\"Add (3,4)=76 Failed, w=103\",\"Add (1,2)=77 Failed, w=103\",\"Add (0,6)=79 Failed, w=103\",\"Add (2,4)=85 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,7],[0,3,13],[0,4,29],[0,5,43],[0,6,79],[1,2,77],[1,4,25],[1,5,45],[1,6,48],[2,3,75],[2,4,85],[2,5,75],[3,4,76],[3,5,15],[3,6,73],[4,5,50],[4,6,14],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,3)=13,(4,6)=14,(3,5)=15,(1,4)=25,(0,4)=29,(0,5)=43,(1,5)=45,(1,6)=48,(4,5)=50,(5,6)=64,(0,1)=70,(3,6)=73,(2,3)=75,(2,5)=75,(3,4)=76,(1,2)=77,(0,6)=79,(2,4)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=20\",\"Find(4)=4, Find(6)=6, Add (4,6)=14 Succeeded, w=34\",\"Find(3)=0, Find(5)=5, Add (3,5)=15 Succeeded, w=49\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=74\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=103\",\"Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=103\",\"Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=103\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=103\",\"Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=103\",\"Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=103\",\"Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=103\",\"Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=103\",\"Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=103\",\"Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=103\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=103\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=103\",\"Find(0)=0, Find(6)=0, Add (0,6)=79 Failed, w=103\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,7],[0,3,13],[0,4,29],[0,5,43],[0,6,79],[1,2,77],[1,4,25],[1,5,45],[1,6,48],[2,3,75],[2,4,85],[2,5,75],[3,4,76],[3,5,15],[3,6,73],[4,5,50],[4,6,14],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,3)=13,(4,6)=14,(3,5)=15,(1,4)=25,(0,4)=29,(0,5)=43,(1,5)=45,(1,6)=48,(4,5)=50,(5,6)=64,(0,1)=70,(3,6)=73,(2,3)=75,(2,5)=75,(3,4)=76,(1,2)=77,(0,6)=79,(2,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=14 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 4}, Find(3)=0, Find(5)=5, Add (3,5)=15 Succeeded, w=49\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=74\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=103\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=79 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,2,14],[0,3,61],[1,2,98],[1,3,10],[2,3,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,14],[0,3,61],[1,2,98],[1,3,10],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,14],[0,3,61],[1,2,98],[1,3,10],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,14],[0,3,61],[1,2,98],[1,3,10],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (0,2)=14, w=24\",\"Add (2,3)=14, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,14],[0,3,61],[1,2,98],[1,3,10],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (0,2)=14 Succeeded, w=24\",\"Add (2,3)=14 Succeeded, w=38\",\"Add (0,1)=52 Failed, w=38\",\"Add (0,3)=61 Failed, w=38\",\"Add (1,2)=98 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,14],[0,3,61],[1,2,98],[1,3,10],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,2)=14,(2,3)=14,(0,1)=52,(0,3)=61,(1,2)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=24\",\"Find(2)=0, Find(3)=1, Add (2,3)=14 Succeeded, w=38\",\"Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=38\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=38\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,14],[0,3,61],[1,2,98],[1,3,10],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,2)=14,(2,3)=14,(0,1)=52,(0,3)=61,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=14 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,72],[0,2,18],[1,3,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,18],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,18],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,18],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (0,2)=18, w=25\",\"Add (0,1)=72, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,18],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (0,2)=18 Succeeded, w=25\",\"Add (0,1)=72 Succeeded, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,18],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(0,2)=18,(0,1)=72]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=72 Succeeded, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,18],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(0,2)=18,(0,1)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=72 Succeeded, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,63],[0,2,1],[0,3,25],[0,5,52],[1,2,66],[1,3,80],[1,4,24],[1,5,29],[2,3,52],[2,5,11],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,25],[0,5,52],[1,2,66],[1,3,80],[1,4,24],[1,5,29],[2,3,52],[2,5,11],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,25],[0,5,52],[1,2,66],[1,3,80],[1,4,24],[1,5,29],[2,3,52],[2,5,11],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,25],[0,5,52],[1,2,66],[1,3,80],[1,4,24],[1,5,29],[2,3,52],[2,5,11],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (2,5)=11, w=12\",\"Add (1,4)=24, w=36\",\"Add (0,3)=25, w=61\",\"Add (1,5)=29, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,25],[0,5,52],[1,2,66],[1,3,80],[1,4,24],[1,5,29],[2,3,52],[2,5,11],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (2,5)=11 Succeeded, w=12\",\"Add (1,4)=24 Succeeded, w=36\",\"Add (0,3)=25 Succeeded, w=61\",\"Add (1,5)=29 Succeeded, w=90\",\"Add (0,5)=52 Failed, w=90\",\"Add (2,3)=52 Failed, w=90\",\"Add (0,1)=63 Failed, w=90\",\"Add (1,2)=66 Failed, w=90\",\"Add (1,3)=80 Failed, w=90\",\"Add (4,5)=80 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,25],[0,5,52],[1,2,66],[1,3,80],[1,4,24],[1,5,29],[2,3,52],[2,5,11],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(2,5)=11,(1,4)=24,(0,3)=25,(1,5)=29,(0,5)=52,(2,3)=52,(0,1)=63,(1,2)=66,(1,3)=80,(4,5)=80]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(2)=0, Find(5)=5, Add (2,5)=11 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=36\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=61\",\"Find(1)=1, Find(5)=0, Add (1,5)=29 Succeeded, w=90\",\"Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=90\",\"Find(2)=1, Find(3)=1, Add (2,3)=52 Failed, w=90\",\"Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=90\",\"Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=90\",\"Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=90\",\"Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,25],[0,5,52],[1,2,66],[1,3,80],[1,4,24],[1,5,29],[2,3,52],[2,5,11],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(2,5)=11,(1,4)=24,(0,3)=25,(1,5)=29,(0,5)=52,(2,3)=52,(0,1)=63,(1,2)=66,(1,3)=80,(4,5)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=29 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=52 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,64],[0,2,97],[0,3,15],[0,4,11],[0,5,83],[0,6,42],[0,7,53],[1,2,52],[1,4,83],[1,5,61],[1,6,60],[1,7,42],[2,3,82],[2,5,84],[2,7,16],[3,5,31],[3,6,11],[3,7,57],[4,5,1],[4,7,70],[5,6,19],[6,7,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,97],[0,3,15],[0,4,11],[0,5,83],[0,6,42],[0,7,53],[1,2,52],[1,4,83],[1,5,61],[1,6,60],[1,7,42],[2,3,82],[2,5,84],[2,7,16],[3,5,31],[3,6,11],[3,7,57],[4,5,1],[4,7,70],[5,6,19],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,97],[0,3,15],[0,4,11],[0,5,83],[0,6,42],[0,7,53],[1,2,52],[1,4,83],[1,5,61],[1,6,60],[1,7,42],[2,3,82],[2,5,84],[2,7,16],[3,5,31],[3,6,11],[3,7,57],[4,5,1],[4,7,70],[5,6,19],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (2,7)\",\"Add (1,7)\",\"Add (0,7)\"],\"Answer\":149}",
"role": "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],[0,2,97],[0,3,15],[0,4,11],[0,5,83],[0,6,42],[0,7,53],[1,2,52],[1,4,83],[1,5,61],[1,6,60],[1,7,42],[2,3,82],[2,5,84],[2,7,16],[3,5,31],[3,6,11],[3,7,57],[4,5,1],[4,7,70],[5,6,19],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (0,4)=11, w=12\",\"Add (3,6)=11, w=23\",\"Add (0,3)=15, w=38\",\"Add (2,7)=16, w=54\",\"Add (1,7)=42, w=96\",\"Add (0,7)=53, w=149\"],\"Answer\":149}",
"role": "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],[0,2,97],[0,3,15],[0,4,11],[0,5,83],[0,6,42],[0,7,53],[1,2,52],[1,4,83],[1,5,61],[1,6,60],[1,7,42],[2,3,82],[2,5,84],[2,7,16],[3,5,31],[3,6,11],[3,7,57],[4,5,1],[4,7,70],[5,6,19],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (0,4)=11 Succeeded, w=12\",\"Add (3,6)=11 Succeeded, w=23\",\"Add (0,3)=15 Succeeded, w=38\",\"Add (2,7)=16 Succeeded, w=54\",\"Add (5,6)=19 Failed, w=54\",\"Add (3,5)=31 Failed, w=54\",\"Add (0,6)=42 Failed, w=54\",\"Add (1,7)=42 Succeeded, w=96\",\"Add (1,2)=52 Failed, w=96\",\"Add (0,7)=53 Succeeded, w=149\",\"Add (3,7)=57 Failed, w=149\",\"Add (1,6)=60 Failed, w=149\",\"Add (1,5)=61 Failed, w=149\",\"Add (6,7)=62 Failed, w=149\",\"Add (0,1)=64 Failed, w=149\",\"Add (4,7)=70 Failed, w=149\",\"Add (2,3)=82 Failed, w=149\",\"Add (0,5)=83 Failed, w=149\",\"Add (1,4)=83 Failed, w=149\",\"Add (2,5)=84 Failed, w=149\",\"Add (0,2)=97 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,97],[0,3,15],[0,4,11],[0,5,83],[0,6,42],[0,7,53],[1,2,52],[1,4,83],[1,5,61],[1,6,60],[1,7,42],[2,3,82],[2,5,84],[2,7,16],[3,5,31],[3,6,11],[3,7,57],[4,5,1],[4,7,70],[5,6,19],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,4)=11,(3,6)=11,(0,3)=15,(2,7)=16,(5,6)=19,(3,5)=31,(0,6)=42,(1,7)=42,(1,2)=52,(0,7)=53,(3,7)=57,(1,6)=60,(1,5)=61,(6,7)=62,(0,1)=64,(4,7)=70,(2,3)=82,(0,5)=83,(1,4)=83,(2,5)=84,(0,2)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=12\",\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=23\",\"Find(0)=4, Find(3)=3, Add (0,3)=15 Succeeded, w=38\",\"Find(2)=2, Find(7)=7, Add (2,7)=16 Succeeded, w=54\",\"Find(5)=4, Find(6)=4, Add (5,6)=19 Failed, w=54\",\"Find(3)=4, Find(5)=4, Add (3,5)=31 Failed, w=54\",\"Find(0)=4, Find(6)=4, Add (0,6)=42 Failed, w=54\",\"Find(1)=1, Find(7)=2, Add (1,7)=42 Succeeded, w=96\",\"Find(1)=2, Find(2)=2, Add (1,2)=52 Failed, w=96\",\"Find(0)=4, Find(7)=2, Add (0,7)=53 Succeeded, w=149\",\"Find(3)=4, Find(7)=4, Add (3,7)=57 Failed, w=149\",\"Find(1)=4, Find(6)=4, Add (1,6)=60 Failed, w=149\",\"Find(1)=4, Find(5)=4, Add (1,5)=61 Failed, w=149\",\"Find(6)=4, Find(7)=4, Add (6,7)=62 Failed, w=149\",\"Find(0)=4, Find(1)=4, Add (0,1)=64 Failed, w=149\",\"Find(4)=4, Find(7)=4, Add (4,7)=70 Failed, w=149\",\"Find(2)=4, Find(3)=4, Add (2,3)=82 Failed, w=149\",\"Find(0)=4, Find(5)=4, Add (0,5)=83 Failed, w=149\",\"Find(1)=4, Find(4)=4, Add (1,4)=83 Failed, w=149\",\"Find(2)=4, Find(5)=4, Add (2,5)=84 Failed, w=149\",\"Find(0)=4, Find(2)=4, Add (0,2)=97 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,97],[0,3,15],[0,4,11],[0,5,83],[0,6,42],[0,7,53],[1,2,52],[1,4,83],[1,5,61],[1,6,60],[1,7,42],[2,3,82],[2,5,84],[2,7,16],[3,5,31],[3,6,11],[3,7,57],[4,5,1],[4,7,70],[5,6,19],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,4)=11,(3,6)=11,(0,3)=15,(2,7)=16,(5,6)=19,(3,5)=31,(0,6)=42,(1,7)=42,(1,2)=52,(0,7)=53,(3,7)=57,(1,6)=60,(1,5)=61,(6,7)=62,(0,1)=64,(4,7)=70,(2,3)=82,(0,5)=83,(1,4)=83,(2,5)=84,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=12\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=23\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 3, 7: 7}, Find(0)=4, Find(3)=3, Add (0,3)=15 Succeeded, w=38\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 3, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=16 Succeeded, w=54\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(5)=4, Find(6)=4, Add (5,6)=19 Failed, w=54\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(3)=4, Find(5)=4, Add (3,5)=31 Failed, w=54\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(0)=4, Find(6)=4, Add (0,6)=42 Failed, w=54\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=42 Succeeded, w=96\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=52 Failed, w=96\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(0)=4, Find(7)=2, Add (0,7)=53 Succeeded, w=149\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=57 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=60 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=61 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=62 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=64 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=70 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=82 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=83 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=83 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=84 Failed, w=149\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=97 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,2,52],[0,3,88],[0,4,35],[0,5,89],[1,2,72],[1,3,82],[1,4,31],[2,3,92],[2,4,76],[2,5,6],[3,4,27],[3,5,94],[4,5,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,52],[0,3,88],[0,4,35],[0,5,89],[1,2,72],[1,3,82],[1,4,31],[2,3,92],[2,4,76],[2,5,6],[3,4,27],[3,5,94],[4,5,93]]}",
"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],\"edges\":[[0,1,65],[0,2,52],[0,3,88],[0,4,35],[0,5,89],[1,2,72],[1,3,82],[1,4,31],[2,3,92],[2,4,76],[2,5,6],[3,4,27],[3,5,94],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,52],[0,3,88],[0,4,35],[0,5,89],[1,2,72],[1,3,82],[1,4,31],[2,3,92],[2,4,76],[2,5,6],[3,4,27],[3,5,94],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6, w=6\",\"Add (3,4)=27, w=33\",\"Add (1,4)=31, w=64\",\"Add (0,4)=35, w=99\",\"Add (0,2)=52, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,52],[0,3,88],[0,4,35],[0,5,89],[1,2,72],[1,3,82],[1,4,31],[2,3,92],[2,4,76],[2,5,6],[3,4,27],[3,5,94],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6 Succeeded, w=6\",\"Add (3,4)=27 Succeeded, w=33\",\"Add (1,4)=31 Succeeded, w=64\",\"Add (0,4)=35 Succeeded, w=99\",\"Add (0,2)=52 Succeeded, w=151\",\"Add (0,1)=65 Failed, w=151\",\"Add (1,2)=72 Failed, w=151\",\"Add (2,4)=76 Failed, w=151\",\"Add (1,3)=82 Failed, w=151\",\"Add (0,3)=88 Failed, w=151\",\"Add (0,5)=89 Failed, w=151\",\"Add (2,3)=92 Failed, w=151\",\"Add (4,5)=93 Failed, w=151\",\"Add (3,5)=94 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],\"edges\":[[0,1,65],[0,2,52],[0,3,88],[0,4,35],[0,5,89],[1,2,72],[1,3,82],[1,4,31],[2,3,92],[2,4,76],[2,5,6],[3,4,27],[3,5,94],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(3,4)=27,(1,4)=31,(0,4)=35,(0,2)=52,(0,1)=65,(1,2)=72,(2,4)=76,(1,3)=82,(0,3)=88,(0,5)=89,(2,3)=92,(4,5)=93,(3,5)=94]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=33\",\"Find(1)=1, Find(4)=3, Add (1,4)=31 Succeeded, w=64\",\"Find(0)=0, Find(4)=3, Add (0,4)=35 Succeeded, w=99\",\"Find(0)=3, Find(2)=2, Add (0,2)=52 Succeeded, w=151\",\"Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=151\",\"Find(1)=3, Find(2)=3, Add (1,2)=72 Failed, w=151\",\"Find(2)=3, Find(4)=3, Add (2,4)=76 Failed, w=151\",\"Find(1)=3, Find(3)=3, Add (1,3)=82 Failed, w=151\",\"Find(0)=3, Find(3)=3, Add (0,3)=88 Failed, w=151\",\"Find(0)=3, Find(5)=3, Add (0,5)=89 Failed, w=151\",\"Find(2)=3, Find(3)=3, Add (2,3)=92 Failed, w=151\",\"Find(4)=3, Find(5)=3, Add (4,5)=93 Failed, w=151\",\"Find(3)=3, Find(5)=3, Add (3,5)=94 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],\"edges\":[[0,1,65],[0,2,52],[0,3,88],[0,4,35],[0,5,89],[1,2,72],[1,3,82],[1,4,31],[2,3,92],[2,4,76],[2,5,6],[3,4,27],[3,5,94],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(3,4)=27,(1,4)=31,(0,4)=35,(0,2)=52,(0,1)=65,(1,2)=72,(2,4)=76,(1,3)=82,(0,3)=88,(0,5)=89,(2,3)=92,(4,5)=93,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 2}, Find(1)=1, Find(4)=3, Add (1,4)=31 Succeeded, w=64\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(4)=3, Add (0,4)=35 Succeeded, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(2)=2, Add (0,2)=52 Succeeded, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(1)=3, Find(2)=3, Add (1,2)=72 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(2)=3, Find(4)=3, Add (2,4)=76 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(1)=3, Find(3)=3, Add (1,3)=82 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(3)=3, Add (0,3)=88 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=89 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=92 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=93 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=94 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,20],[0,3,0],[0,4,43],[0,6,80],[1,2,76],[1,4,88],[1,6,86],[2,4,55],[4,6,50],[5,6,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,20],[0,3,0],[0,4,43],[0,6,80],[1,2,76],[1,4,88],[1,6,86],[2,4,55],[4,6,50],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,20],[0,3,0],[0,4,43],[0,6,80],[1,2,76],[1,4,88],[1,6,86],[2,4,55],[4,6,50],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (1,2)\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,20],[0,3,0],[0,4,43],[0,6,80],[1,2,76],[1,4,88],[1,6,86],[2,4,55],[4,6,50],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (0,2)=20, w=20\",\"Add (0,4)=43, w=63\",\"Add (4,6)=50, w=113\",\"Add (5,6)=65, w=178\",\"Add (1,2)=76, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,20],[0,3,0],[0,4,43],[0,6,80],[1,2,76],[1,4,88],[1,6,86],[2,4,55],[4,6,50],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (0,2)=20 Succeeded, w=20\",\"Add (0,4)=43 Succeeded, w=63\",\"Add (4,6)=50 Succeeded, w=113\",\"Add (2,4)=55 Failed, w=113\",\"Add (5,6)=65 Succeeded, w=178\",\"Add (1,2)=76 Succeeded, w=254\",\"Add (0,6)=80 Failed, w=254\",\"Add (1,6)=86 Failed, w=254\",\"Add (1,4)=88 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,20],[0,3,0],[0,4,43],[0,6,80],[1,2,76],[1,4,88],[1,6,86],[2,4,55],[4,6,50],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=20,(0,4)=43,(4,6)=50,(2,4)=55,(5,6)=65,(1,2)=76,(0,6)=80,(1,6)=86,(1,4)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Find(0)=0, Find(4)=4, Add (0,4)=43 Succeeded, w=63\",\"Find(4)=0, Find(6)=6, Add (4,6)=50 Succeeded, w=113\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=113\",\"Find(5)=5, Find(6)=0, Add (5,6)=65 Succeeded, w=178\",\"Find(1)=1, Find(2)=0, Add (1,2)=76 Succeeded, w=254\",\"Find(0)=0, Find(6)=0, Add (0,6)=80 Failed, w=254\",\"Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=254\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,20],[0,3,0],[0,4,43],[0,6,80],[1,2,76],[1,4,88],[1,6,86],[2,4,55],[4,6,50],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=20,(0,4)=43,(4,6)=50,(2,4)=55,(5,6)=65,(1,2)=76,(0,6)=80,(1,6)=86,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=43 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=50 Succeeded, w=113\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=65 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=76 Succeeded, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=80 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,82],[0,2,37],[0,3,99],[0,4,56],[0,5,85],[1,4,82],[2,4,15],[2,5,37],[3,4,26],[3,5,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,37],[0,3,99],[0,4,56],[0,5,85],[1,4,82],[2,4,15],[2,5,37],[3,4,26],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,37],[0,3,99],[0,4,56],[0,5,85],[1,4,82],[2,4,15],[2,5,37],[3,4,26],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,37],[0,3,99],[0,4,56],[0,5,85],[1,4,82],[2,4,15],[2,5,37],[3,4,26],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15, w=15\",\"Add (3,4)=26, w=41\",\"Add (0,2)=37, w=78\",\"Add (2,5)=37, w=115\",\"Add (0,1)=82, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,37],[0,3,99],[0,4,56],[0,5,85],[1,4,82],[2,4,15],[2,5,37],[3,4,26],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15 Succeeded, w=15\",\"Add (3,4)=26 Succeeded, w=41\",\"Add (0,2)=37 Succeeded, w=78\",\"Add (2,5)=37 Succeeded, w=115\",\"Add (3,5)=44 Failed, w=115\",\"Add (0,4)=56 Failed, w=115\",\"Add (0,1)=82 Succeeded, w=197\",\"Add (1,4)=82 Failed, w=197\",\"Add (0,5)=85 Failed, w=197\",\"Add (0,3)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,37],[0,3,99],[0,4,56],[0,5,85],[1,4,82],[2,4,15],[2,5,37],[3,4,26],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(3,4)=26,(0,2)=37,(2,5)=37,(3,5)=44,(0,4)=56,(0,1)=82,(1,4)=82,(0,5)=85,(0,3)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Find(3)=3, Find(4)=2, Add (3,4)=26 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=78\",\"Find(2)=2, Find(5)=5, Add (2,5)=37 Succeeded, w=115\",\"Find(3)=2, Find(5)=2, Add (3,5)=44 Failed, w=115\",\"Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=115\",\"Find(0)=2, Find(1)=1, Add (0,1)=82 Succeeded, w=197\",\"Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=197\",\"Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=197\",\"Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,37],[0,3,99],[0,4,56],[0,5,85],[1,4,82],[2,4,15],[2,5,37],[3,4,26],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(3,4)=26,(0,2)=37,(2,5)=37,(3,5)=44,(0,4)=56,(0,1)=82,(1,4)=82,(0,5)=85,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=3, Find(4)=2, Add (3,4)=26 Succeeded, w=41\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=78\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=37 Succeeded, w=115\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=44 Failed, w=115\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=82 Succeeded, w=197\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=197\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=197\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,84],[0,2,51],[0,4,71],[0,5,37],[1,2,40],[1,3,38],[1,4,44],[1,5,97],[2,3,59],[2,4,34],[2,5,43],[3,4,26],[3,5,5],[4,5,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,51],[0,4,71],[0,5,37],[1,2,40],[1,3,38],[1,4,44],[1,5,97],[2,3,59],[2,4,34],[2,5,43],[3,4,26],[3,5,5],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,51],[0,4,71],[0,5,37],[1,2,40],[1,3,38],[1,4,44],[1,5,97],[2,3,59],[2,4,34],[2,5,43],[3,4,26],[3,5,5],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,3)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,51],[0,4,71],[0,5,37],[1,2,40],[1,3,38],[1,4,44],[1,5,97],[2,3,59],[2,4,34],[2,5,43],[3,4,26],[3,5,5],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5, w=5\",\"Add (4,5)=25, w=30\",\"Add (2,4)=34, w=64\",\"Add (0,5)=37, w=101\",\"Add (1,3)=38, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,51],[0,4,71],[0,5,37],[1,2,40],[1,3,38],[1,4,44],[1,5,97],[2,3,59],[2,4,34],[2,5,43],[3,4,26],[3,5,5],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5 Succeeded, w=5\",\"Add (4,5)=25 Succeeded, w=30\",\"Add (3,4)=26 Failed, w=30\",\"Add (2,4)=34 Succeeded, w=64\",\"Add (0,5)=37 Succeeded, w=101\",\"Add (1,3)=38 Succeeded, w=139\",\"Add (1,2)=40 Failed, w=139\",\"Add (2,5)=43 Failed, w=139\",\"Add (1,4)=44 Failed, w=139\",\"Add (0,2)=51 Failed, w=139\",\"Add (2,3)=59 Failed, w=139\",\"Add (0,4)=71 Failed, w=139\",\"Add (0,1)=84 Failed, w=139\",\"Add (1,5)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,51],[0,4,71],[0,5,37],[1,2,40],[1,3,38],[1,4,44],[1,5,97],[2,3,59],[2,4,34],[2,5,43],[3,4,26],[3,5,5],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(4,5)=25,(3,4)=26,(2,4)=34,(0,5)=37,(1,3)=38,(1,2)=40,(2,5)=43,(1,4)=44,(0,2)=51,(2,3)=59,(0,4)=71,(0,1)=84,(1,5)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=3, Add (4,5)=25 Succeeded, w=30\",\"Find(3)=3, Find(4)=3, Add (3,4)=26 Failed, w=30\",\"Find(2)=2, Find(4)=3, Add (2,4)=34 Succeeded, w=64\",\"Find(0)=0, Find(5)=3, Add (0,5)=37 Succeeded, w=101\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=139\",\"Find(1)=3, Find(2)=3, Add (1,2)=40 Failed, w=139\",\"Find(2)=3, Find(5)=3, Add (2,5)=43 Failed, w=139\",\"Find(1)=3, Find(4)=3, Add (1,4)=44 Failed, w=139\",\"Find(0)=3, Find(2)=3, Add (0,2)=51 Failed, w=139\",\"Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=139\",\"Find(0)=3, Find(4)=3, Add (0,4)=71 Failed, w=139\",\"Find(0)=3, Find(1)=3, Add (0,1)=84 Failed, w=139\",\"Find(1)=3, Find(5)=3, Add (1,5)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,51],[0,4,71],[0,5,37],[1,2,40],[1,3,38],[1,4,44],[1,5,97],[2,3,59],[2,4,34],[2,5,43],[3,4,26],[3,5,5],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(4,5)=25,(3,4)=26,(2,4)=34,(0,5)=37,(1,3)=38,(1,2)=40,(2,5)=43,(1,4)=44,(0,2)=51,(2,3)=59,(0,4)=71,(0,1)=84,(1,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=25 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=26 Failed, w=30\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(4)=3, Add (2,4)=34 Succeeded, w=64\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=37 Succeeded, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=40 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=43 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=44 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=51 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=71 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=84 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,47],[0,3,59],[0,4,91],[1,2,26],[1,3,19],[2,3,56],[4,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,3,59],[0,4,91],[1,2,26],[1,3,19],[2,3,56],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,3,59],[0,4,91],[1,2,26],[1,3,19],[2,3,56],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,3,59],[0,4,91],[1,2,26],[1,3,19],[2,3,56],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5, w=5\",\"Add (1,3)=19, w=24\",\"Add (1,2)=26, w=50\",\"Add (0,1)=47, w=97\",\"Add (0,4)=91, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,3,59],[0,4,91],[1,2,26],[1,3,19],[2,3,56],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5 Succeeded, w=5\",\"Add (1,3)=19 Succeeded, w=24\",\"Add (1,2)=26 Succeeded, w=50\",\"Add (0,1)=47 Succeeded, w=97\",\"Add (2,3)=56 Failed, w=97\",\"Add (0,3)=59 Failed, w=97\",\"Add (0,4)=91 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,3,59],[0,4,91],[1,2,26],[1,3,19],[2,3,56],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(1,3)=19,(1,2)=26,(0,1)=47,(2,3)=56,(0,3)=59,(0,4)=91]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=24\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=50\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=97\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=97\",\"Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=97\",\"Find(0)=1, Find(4)=4, Add (0,4)=91 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,3,59],[0,4,91],[1,2,26],[1,3,19],[2,3,56],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(1,3)=19,(1,2)=26,(0,1)=47,(2,3)=56,(0,3)=59,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(4)=4, Add (0,4)=91 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,86],[0,3,45],[0,6,27],[1,2,30],[1,5,87],[1,6,36],[2,3,2],[2,4,10],[2,5,86],[2,6,95],[3,4,48],[3,5,38],[4,5,70],[4,6,61],[5,6,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,3,45],[0,6,27],[1,2,30],[1,5,87],[1,6,36],[2,3,2],[2,4,10],[2,5,86],[2,6,95],[3,4,48],[3,5,38],[4,5,70],[4,6,61],[5,6,78]]}",
"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\":[[0,2,86],[0,3,45],[0,6,27],[1,2,30],[1,5,87],[1,6,36],[2,3,2],[2,4,10],[2,5,86],[2,6,95],[3,4,48],[3,5,38],[4,5,70],[4,6,61],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (3,5)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,3,45],[0,6,27],[1,2,30],[1,5,87],[1,6,36],[2,3,2],[2,4,10],[2,5,86],[2,6,95],[3,4,48],[3,5,38],[4,5,70],[4,6,61],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (2,4)=10, w=12\",\"Add (0,6)=27, w=39\",\"Add (1,2)=30, w=69\",\"Add (1,6)=36, w=105\",\"Add (3,5)=38, 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\":[[0,2,86],[0,3,45],[0,6,27],[1,2,30],[1,5,87],[1,6,36],[2,3,2],[2,4,10],[2,5,86],[2,6,95],[3,4,48],[3,5,38],[4,5,70],[4,6,61],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (2,4)=10 Succeeded, w=12\",\"Add (0,6)=27 Succeeded, w=39\",\"Add (1,2)=30 Succeeded, w=69\",\"Add (1,6)=36 Succeeded, w=105\",\"Add (3,5)=38 Succeeded, w=143\",\"Add (0,3)=45 Failed, w=143\",\"Add (3,4)=48 Failed, w=143\",\"Add (4,6)=61 Failed, w=143\",\"Add (4,5)=70 Failed, w=143\",\"Add (5,6)=78 Failed, w=143\",\"Add (0,2)=86 Failed, w=143\",\"Add (2,5)=86 Failed, w=143\",\"Add (1,5)=87 Failed, w=143\",\"Add (2,6)=95 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\":[[0,2,86],[0,3,45],[0,6,27],[1,2,30],[1,5,87],[1,6,36],[2,3,2],[2,4,10],[2,5,86],[2,6,95],[3,4,48],[3,5,38],[4,5,70],[4,6,61],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(2,4)=10,(0,6)=27,(1,2)=30,(1,6)=36,(3,5)=38,(0,3)=45,(3,4)=48,(4,6)=61,(4,5)=70,(5,6)=78,(0,2)=86,(2,5)=86,(1,5)=87,(2,6)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=12\",\"Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=69\",\"Find(1)=2, Find(6)=0, Add (1,6)=36 Succeeded, w=105\",\"Find(3)=2, Find(5)=5, Add (3,5)=38 Succeeded, w=143\",\"Find(0)=2, Find(3)=2, Add (0,3)=45 Failed, w=143\",\"Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=143\",\"Find(4)=2, Find(6)=2, Add (4,6)=61 Failed, w=143\",\"Find(4)=2, Find(5)=2, Add (4,5)=70 Failed, w=143\",\"Find(5)=2, Find(6)=2, Add (5,6)=78 Failed, w=143\",\"Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=143\",\"Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=143\",\"Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=143\",\"Find(2)=2, Find(6)=2, Add (2,6)=95 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\":[[0,2,86],[0,3,45],[0,6,27],[1,2,30],[1,5,87],[1,6,36],[2,3,2],[2,4,10],[2,5,86],[2,6,95],[3,4,48],[3,5,38],[4,5,70],[4,6,61],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(2,4)=10,(0,6)=27,(1,2)=30,(1,6)=36,(3,5)=38,(0,3)=45,(3,4)=48,(4,6)=61,(4,5)=70,(5,6)=78,(0,2)=86,(2,5)=86,(1,5)=87,(2,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=39\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 0}, Find(1)=2, Find(6)=0, Add (1,6)=36 Succeeded, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(3)=2, Find(5)=5, Add (3,5)=38 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(0)=2, Find(3)=2, Add (0,3)=45 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=61 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=70 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=78 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=95 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,33],[0,2,13],[0,3,48],[1,2,90],[1,3,74],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,13],[0,3,48],[1,2,90],[1,3,74],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,13],[0,3,48],[1,2,90],[1,3,74],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,13],[0,3,48],[1,2,90],[1,3,74],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (0,2)=13, w=24\",\"Add (0,1)=33, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,13],[0,3,48],[1,2,90],[1,3,74],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (0,2)=13 Succeeded, w=24\",\"Add (0,1)=33 Succeeded, w=57\",\"Add (0,3)=48 Failed, w=57\",\"Add (1,3)=74 Failed, w=57\",\"Add (1,2)=90 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,13],[0,3,48],[1,2,90],[1,3,74],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,2)=13,(0,1)=33,(0,3)=48,(1,3)=74,(1,2)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=24\",\"Find(0)=2, Find(1)=1, Add (0,1)=33 Succeeded, w=57\",\"Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=57\",\"Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=57\",\"Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,13],[0,3,48],[1,2,90],[1,3,74],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,2)=13,(0,1)=33,(0,3)=48,(1,3)=74,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=33 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,2,58],[0,3,27],[0,5,7],[1,2,17],[1,3,63],[1,4,17],[1,5,89],[2,3,77],[2,4,21],[2,5,97],[2,6,15],[3,4,53],[4,5,63],[4,6,25],[5,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,58],[0,3,27],[0,5,7],[1,2,17],[1,3,63],[1,4,17],[1,5,89],[2,3,77],[2,4,21],[2,5,97],[2,6,15],[3,4,53],[4,5,63],[4,6,25],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,58],[0,3,27],[0,5,7],[1,2,17],[1,3,63],[1,4,17],[1,5,89],[2,3,77],[2,4,21],[2,5,97],[2,6,15],[3,4,53],[4,5,63],[4,6,25],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,58],[0,3,27],[0,5,7],[1,2,17],[1,3,63],[1,4,17],[1,5,89],[2,3,77],[2,4,21],[2,5,97],[2,6,15],[3,4,53],[4,5,63],[4,6,25],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (0,5)=7, w=8\",\"Add (2,6)=15, w=23\",\"Add (1,2)=17, w=40\",\"Add (1,4)=17, w=57\",\"Add (0,3)=27, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,58],[0,3,27],[0,5,7],[1,2,17],[1,3,63],[1,4,17],[1,5,89],[2,3,77],[2,4,21],[2,5,97],[2,6,15],[3,4,53],[4,5,63],[4,6,25],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (0,5)=7 Succeeded, w=8\",\"Add (2,6)=15 Succeeded, w=23\",\"Add (1,2)=17 Succeeded, w=40\",\"Add (1,4)=17 Succeeded, w=57\",\"Add (2,4)=21 Failed, w=57\",\"Add (4,6)=25 Failed, w=57\",\"Add (0,3)=27 Succeeded, w=84\",\"Add (0,1)=43 Failed, w=84\",\"Add (3,4)=53 Failed, w=84\",\"Add (0,2)=58 Failed, w=84\",\"Add (1,3)=63 Failed, w=84\",\"Add (4,5)=63 Failed, w=84\",\"Add (2,3)=77 Failed, w=84\",\"Add (1,5)=89 Failed, w=84\",\"Add (2,5)=97 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,58],[0,3,27],[0,5,7],[1,2,17],[1,3,63],[1,4,17],[1,5,89],[2,3,77],[2,4,21],[2,5,97],[2,6,15],[3,4,53],[4,5,63],[4,6,25],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(0,5)=7,(2,6)=15,(1,2)=17,(1,4)=17,(2,4)=21,(4,6)=25,(0,3)=27,(0,1)=43,(3,4)=53,(0,2)=58,(1,3)=63,(4,5)=63,(2,3)=77,(1,5)=89,(2,5)=97]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=8\",\"Find(2)=2, Find(6)=5, Add (2,6)=15 Succeeded, w=23\",\"Find(1)=1, Find(2)=5, Add (1,2)=17 Succeeded, w=40\",\"Find(1)=5, Find(4)=4, Add (1,4)=17 Succeeded, w=57\",\"Find(2)=5, Find(4)=5, Add (2,4)=21 Failed, w=57\",\"Find(4)=5, Find(6)=5, Add (4,6)=25 Failed, w=57\",\"Find(0)=5, Find(3)=3, Add (0,3)=27 Succeeded, w=84\",\"Find(0)=5, Find(1)=5, Add (0,1)=43 Failed, w=84\",\"Find(3)=5, Find(4)=5, Add (3,4)=53 Failed, w=84\",\"Find(0)=5, Find(2)=5, Add (0,2)=58 Failed, w=84\",\"Find(1)=5, Find(3)=5, Add (1,3)=63 Failed, w=84\",\"Find(4)=5, Find(5)=5, Add (4,5)=63 Failed, w=84\",\"Find(2)=5, Find(3)=5, Add (2,3)=77 Failed, w=84\",\"Find(1)=5, Find(5)=5, Add (1,5)=89 Failed, w=84\",\"Find(2)=5, Find(5)=5, Add (2,5)=97 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,58],[0,3,27],[0,5,7],[1,2,17],[1,3,63],[1,4,17],[1,5,89],[2,3,77],[2,4,21],[2,5,97],[2,6,15],[3,4,53],[4,5,63],[4,6,25],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(0,5)=7,(2,6)=15,(1,2)=17,(1,4)=17,(2,4)=21,(4,6)=25,(0,3)=27,(0,1)=43,(3,4)=53,(0,2)=58,(1,3)=63,(4,5)=63,(2,3)=77,(1,5)=89,(2,5)=97]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=8\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=15 Succeeded, w=23\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(2)=5, Add (1,2)=17 Succeeded, w=40\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=4, Add (1,4)=17 Succeeded, w=57\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=21 Failed, w=57\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(6)=5, Add (4,6)=25 Failed, w=57\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=3, Add (0,3)=27 Succeeded, w=84\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(1)=5, Add (0,1)=43 Failed, w=84\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(4)=5, Add (3,4)=53 Failed, w=84\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(2)=5, Add (0,2)=58 Failed, w=84\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=63 Failed, w=84\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=63 Failed, w=84\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=77 Failed, w=84\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=89 Failed, w=84\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=97 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,69],[0,2,98],[0,3,44],[0,4,71],[0,5,50],[1,3,54],[1,4,44],[2,3,61],[2,5,98],[3,5,89],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,98],[0,3,44],[0,4,71],[0,5,50],[1,3,54],[1,4,44],[2,3,61],[2,5,98],[3,5,89],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,98],[0,3,44],[0,4,71],[0,5,50],[1,3,54],[1,4,44],[2,3,61],[2,5,98],[3,5,89],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,98],[0,3,44],[0,4,71],[0,5,50],[1,3,54],[1,4,44],[2,3,61],[2,5,98],[3,5,89],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8, w=8\",\"Add (0,3)=44, w=52\",\"Add (1,4)=44, w=96\",\"Add (0,5)=50, w=146\",\"Add (2,3)=61, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,98],[0,3,44],[0,4,71],[0,5,50],[1,3,54],[1,4,44],[2,3,61],[2,5,98],[3,5,89],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8 Succeeded, w=8\",\"Add (0,3)=44 Succeeded, w=52\",\"Add (1,4)=44 Succeeded, w=96\",\"Add (0,5)=50 Succeeded, w=146\",\"Add (1,3)=54 Failed, w=146\",\"Add (2,3)=61 Succeeded, w=207\",\"Add (0,1)=69 Failed, w=207\",\"Add (0,4)=71 Failed, w=207\",\"Add (3,5)=89 Failed, w=207\",\"Add (0,2)=98 Failed, w=207\",\"Add (2,5)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,98],[0,3,44],[0,4,71],[0,5,50],[1,3,54],[1,4,44],[2,3,61],[2,5,98],[3,5,89],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(0,3)=44,(1,4)=44,(0,5)=50,(1,3)=54,(2,3)=61,(0,1)=69,(0,4)=71,(3,5)=89,(0,2)=98,(2,5)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=52\",\"Find(1)=1, Find(4)=4, Add (1,4)=44 Succeeded, w=96\",\"Find(0)=0, Find(5)=4, Add (0,5)=50 Succeeded, w=146\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=146\",\"Find(2)=2, Find(3)=0, Add (2,3)=61 Succeeded, w=207\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=207\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=207\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=207\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=207\",\"Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,98],[0,3,44],[0,4,71],[0,5,50],[1,3,54],[1,4,44],[2,3,61],[2,5,98],[3,5,89],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(0,3)=44,(1,4)=44,(0,5)=50,(1,3)=54,(2,3)=61,(0,1)=69,(0,4)=71,(3,5)=89,(0,2)=98,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=52\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=44 Succeeded, w=96\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=50 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(2)=2, Find(3)=0, Add (2,3)=61 Succeeded, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,30],[0,4,1],[0,5,62],[1,2,9],[1,3,40],[1,4,63],[1,5,45],[2,3,17],[2,5,4],[3,5,15],[4,5,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,30],[0,4,1],[0,5,62],[1,2,9],[1,3,40],[1,4,63],[1,5,45],[2,3,17],[2,5,4],[3,5,15],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,30],[0,4,1],[0,5,62],[1,2,9],[1,3,40],[1,4,63],[1,5,45],[2,3,17],[2,5,4],[3,5,15],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,30],[0,4,1],[0,5,62],[1,2,9],[1,3,40],[1,4,63],[1,5,45],[2,3,17],[2,5,4],[3,5,15],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (2,5)=4, w=5\",\"Add (1,2)=9, w=14\",\"Add (4,5)=13, w=27\",\"Add (3,5)=15, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,30],[0,4,1],[0,5,62],[1,2,9],[1,3,40],[1,4,63],[1,5,45],[2,3,17],[2,5,4],[3,5,15],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (2,5)=4 Succeeded, w=5\",\"Add (1,2)=9 Succeeded, w=14\",\"Add (4,5)=13 Succeeded, w=27\",\"Add (3,5)=15 Succeeded, w=42\",\"Add (2,3)=17 Failed, w=42\",\"Add (0,3)=30 Failed, w=42\",\"Add (1,3)=40 Failed, w=42\",\"Add (1,5)=45 Failed, w=42\",\"Add (0,5)=62 Failed, w=42\",\"Add (1,4)=63 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,30],[0,4,1],[0,5,62],[1,2,9],[1,3,40],[1,4,63],[1,5,45],[2,3,17],[2,5,4],[3,5,15],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,5)=4,(1,2)=9,(4,5)=13,(3,5)=15,(2,3)=17,(0,3)=30,(1,3)=40,(1,5)=45,(0,5)=62,(1,4)=63]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=14\",\"Find(4)=0, Find(5)=2, Add (4,5)=13 Succeeded, w=27\",\"Find(3)=3, Find(5)=0, Add (3,5)=15 Succeeded, w=42\",\"Find(2)=0, Find(3)=0, Add (2,3)=17 Failed, w=42\",\"Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=42\",\"Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=42\",\"Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=42\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=42\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,30],[0,4,1],[0,5,62],[1,2,9],[1,3,40],[1,4,63],[1,5,45],[2,3,17],[2,5,4],[3,5,15],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,5)=4,(1,2)=9,(4,5)=13,(3,5)=15,(2,3)=17,(0,3)=30,(1,3)=40,(1,5)=45,(0,5)=62,(1,4)=63]\",\"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: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 0, 5: 2}, Find(4)=0, Find(5)=2, Add (4,5)=13 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=15 Succeeded, w=42\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=17 Failed, w=42\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,24],[0,3,67],[0,4,69],[0,5,25],[0,7,27],[1,2,42],[1,3,84],[1,4,68],[1,5,63],[1,7,96],[2,5,89],[2,7,37],[3,5,89],[3,6,43],[3,7,78],[4,5,95],[4,7,22],[5,6,73],[5,7,11],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,67],[0,4,69],[0,5,25],[0,7,27],[1,2,42],[1,3,84],[1,4,68],[1,5,63],[1,7,96],[2,5,89],[2,7,37],[3,5,89],[3,6,43],[3,7,78],[4,5,95],[4,7,22],[5,6,73],[5,7,11],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,67],[0,4,69],[0,5,25],[0,7,27],[1,2,42],[1,3,84],[1,4,68],[1,5,63],[1,7,96],[2,5,89],[2,7,37],[3,5,89],[3,6,43],[3,7,78],[4,5,95],[4,7,22],[5,6,73],[5,7,11],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (0,3)\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,67],[0,4,69],[0,5,25],[0,7,27],[1,2,42],[1,3,84],[1,4,68],[1,5,63],[1,7,96],[2,5,89],[2,7,37],[3,5,89],[3,6,43],[3,7,78],[4,5,95],[4,7,22],[5,6,73],[5,7,11],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=11, w=11\",\"Add (4,7)=22, w=33\",\"Add (0,2)=24, w=57\",\"Add (0,5)=25, w=82\",\"Add (1,2)=42, w=124\",\"Add (3,6)=43, w=167\",\"Add (0,3)=67, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,67],[0,4,69],[0,5,25],[0,7,27],[1,2,42],[1,3,84],[1,4,68],[1,5,63],[1,7,96],[2,5,89],[2,7,37],[3,5,89],[3,6,43],[3,7,78],[4,5,95],[4,7,22],[5,6,73],[5,7,11],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=11 Succeeded, w=11\",\"Add (4,7)=22 Succeeded, w=33\",\"Add (0,2)=24 Succeeded, w=57\",\"Add (0,5)=25 Succeeded, w=82\",\"Add (0,7)=27 Failed, w=82\",\"Add (2,7)=37 Failed, w=82\",\"Add (1,2)=42 Succeeded, w=124\",\"Add (3,6)=43 Succeeded, w=167\",\"Add (1,5)=63 Failed, w=167\",\"Add (0,3)=67 Succeeded, w=234\",\"Add (1,4)=68 Failed, w=234\",\"Add (0,4)=69 Failed, w=234\",\"Add (5,6)=73 Failed, w=234\",\"Add (3,7)=78 Failed, w=234\",\"Add (1,3)=84 Failed, w=234\",\"Add (6,7)=84 Failed, w=234\",\"Add (2,5)=89 Failed, w=234\",\"Add (3,5)=89 Failed, w=234\",\"Add (4,5)=95 Failed, w=234\",\"Add (1,7)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,67],[0,4,69],[0,5,25],[0,7,27],[1,2,42],[1,3,84],[1,4,68],[1,5,63],[1,7,96],[2,5,89],[2,7,37],[3,5,89],[3,6,43],[3,7,78],[4,5,95],[4,7,22],[5,6,73],[5,7,11],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=11,(4,7)=22,(0,2)=24,(0,5)=25,(0,7)=27,(2,7)=37,(1,2)=42,(3,6)=43,(1,5)=63,(0,3)=67,(1,4)=68,(0,4)=69,(5,6)=73,(3,7)=78,(1,3)=84,(6,7)=84,(2,5)=89,(3,5)=89,(4,5)=95,(1,7)=96]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=11\",\"Find(4)=4, Find(7)=5, Add (4,7)=22 Succeeded, w=33\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=57\",\"Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=82\",\"Find(0)=0, Find(7)=0, Add (0,7)=27 Failed, w=82\",\"Find(2)=0, Find(7)=0, Add (2,7)=37 Failed, w=82\",\"Find(1)=1, Find(2)=0, Add (1,2)=42 Succeeded, w=124\",\"Find(3)=3, Find(6)=6, Add (3,6)=43 Succeeded, w=167\",\"Find(1)=0, Find(5)=0, Add (1,5)=63 Failed, w=167\",\"Find(0)=0, Find(3)=3, Add (0,3)=67 Succeeded, w=234\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=234\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=234\",\"Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=234\",\"Find(3)=0, Find(7)=0, Add (3,7)=78 Failed, w=234\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=234\",\"Find(6)=0, Find(7)=0, Add (6,7)=84 Failed, w=234\",\"Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=234\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=234\",\"Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=234\",\"Find(1)=0, Find(7)=0, Add (1,7)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,67],[0,4,69],[0,5,25],[0,7,27],[1,2,42],[1,3,84],[1,4,68],[1,5,63],[1,7,96],[2,5,89],[2,7,37],[3,5,89],[3,6,43],[3,7,78],[4,5,95],[4,7,22],[5,6,73],[5,7,11],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=11,(4,7)=22,(0,2)=24,(0,5)=25,(0,7)=27,(2,7)=37,(1,2)=42,(3,6)=43,(1,5)=63,(0,3)=67,(1,4)=68,(0,4)=69,(5,6)=73,(3,7)=78,(1,3)=84,(6,7)=84,(2,5)=89,(3,5)=89,(4,5)=95,(1,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 6, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=22 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 5, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 5, 5: 0, 6: 6, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 5, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=27 Failed, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 5, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=37 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 5, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=42 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 5, 5: 0, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=43 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 5, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=63 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=67 Succeeded, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=234\",\"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)=73 Failed, w=234\",\"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)=78 Failed, w=234\",\"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)=84 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=84 Failed, w=234\",\"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)=89 Failed, w=234\",\"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)=89 Failed, w=234\",\"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)=95 Failed, w=234\",\"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)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,23],[0,3,30],[0,4,26],[1,5,10],[2,3,88],[2,5,78],[3,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,23],[0,3,30],[0,4,26],[1,5,10],[2,3,88],[2,5,78],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,23],[0,3,30],[0,4,26],[1,5,10],[2,3,88],[2,5,78],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,23],[0,3,30],[0,4,26],[1,5,10],[2,3,88],[2,5,78],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=8, w=8\",\"Add (1,5)=10, w=18\",\"Add (0,2)=23, w=41\",\"Add (0,4)=26, w=67\",\"Add (0,3)=30, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,23],[0,3,30],[0,4,26],[1,5,10],[2,3,88],[2,5,78],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=8 Succeeded, w=8\",\"Add (1,5)=10 Succeeded, w=18\",\"Add (0,2)=23 Succeeded, w=41\",\"Add (0,4)=26 Succeeded, w=67\",\"Add (0,3)=30 Succeeded, w=97\",\"Add (2,5)=78 Failed, w=97\",\"Add (2,3)=88 Failed, w=97\",\"Add (0,1)=90 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,23],[0,3,30],[0,4,26],[1,5,10],[2,3,88],[2,5,78],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=8,(1,5)=10,(0,2)=23,(0,4)=26,(0,3)=30,(2,5)=78,(2,3)=88,(0,1)=90]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(5)=3, Add (1,5)=10 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=41\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=67\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=97\",\"Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=97\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,23],[0,3,30],[0,4,26],[1,5,10],[2,3,88],[2,5,78],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=8,(1,5)=10,(0,2)=23,(0,4)=26,(0,3)=30,(2,5)=78,(2,3)=88,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=41\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=67\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=97\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=97\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,83],[0,3,28],[1,2,9],[1,4,67],[1,5,37],[1,6,49],[2,4,11],[2,6,12],[3,4,36],[4,5,33],[4,6,68],[5,6,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,83],[0,3,28],[1,2,9],[1,4,67],[1,5,37],[1,6,49],[2,4,11],[2,6,12],[3,4,36],[4,5,33],[4,6,68],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,83],[0,3,28],[1,2,9],[1,4,67],[1,5,37],[1,6,49],[2,4,11],[2,6,12],[3,4,36],[4,5,33],[4,6,68],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (5,6)\",\"Add (3,4)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,83],[0,3,28],[1,2,9],[1,4,67],[1,5,37],[1,6,49],[2,4,11],[2,6,12],[3,4,36],[4,5,33],[4,6,68],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (2,4)=11, w=20\",\"Add (2,6)=12, w=32\",\"Add (0,3)=28, w=60\",\"Add (5,6)=32, w=92\",\"Add (3,4)=36, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,83],[0,3,28],[1,2,9],[1,4,67],[1,5,37],[1,6,49],[2,4,11],[2,6,12],[3,4,36],[4,5,33],[4,6,68],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (2,4)=11 Succeeded, w=20\",\"Add (2,6)=12 Succeeded, w=32\",\"Add (0,3)=28 Succeeded, w=60\",\"Add (5,6)=32 Succeeded, w=92\",\"Add (4,5)=33 Failed, w=92\",\"Add (3,4)=36 Succeeded, w=128\",\"Add (1,5)=37 Failed, w=128\",\"Add (1,6)=49 Failed, w=128\",\"Add (1,4)=67 Failed, w=128\",\"Add (4,6)=68 Failed, w=128\",\"Add (0,2)=83 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],\"edges\":[[0,2,83],[0,3,28],[1,2,9],[1,4,67],[1,5,37],[1,6,49],[2,4,11],[2,6,12],[3,4,36],[4,5,33],[4,6,68],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(2,4)=11,(2,6)=12,(0,3)=28,(5,6)=32,(4,5)=33,(3,4)=36,(1,5)=37,(1,6)=49,(1,4)=67,(4,6)=68,(0,2)=83]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(2)=1, Find(4)=4, Add (2,4)=11 Succeeded, w=20\",\"Find(2)=1, Find(6)=6, Add (2,6)=12 Succeeded, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=60\",\"Find(5)=5, Find(6)=1, Add (5,6)=32 Succeeded, w=92\",\"Find(4)=1, Find(5)=1, Add (4,5)=33 Failed, w=92\",\"Find(3)=0, Find(4)=1, Add (3,4)=36 Succeeded, w=128\",\"Find(1)=0, Find(5)=0, Add (1,5)=37 Failed, w=128\",\"Find(1)=0, Find(6)=0, Add (1,6)=49 Failed, w=128\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=128\",\"Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=128\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 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],\"edges\":[[0,2,83],[0,3,28],[1,2,9],[1,4,67],[1,5,37],[1,6,49],[2,4,11],[2,6,12],[3,4,36],[4,5,33],[4,6,68],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(2,4)=11,(2,6)=12,(0,3)=28,(5,6)=32,(4,5)=33,(3,4)=36,(1,5)=37,(1,6)=49,(1,4)=67,(4,6)=68,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(2)=1, Find(4)=4, Add (2,4)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=12 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=32 Succeeded, w=92\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=33 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(3)=0, Find(4)=1, Add (3,4)=36 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 1}, Find(1)=0, Find(5)=0, Add (1,5)=37 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=49 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,2,89],[0,3,62],[1,2,48],[1,3,76],[1,4,39],[1,5,62],[3,4,22],[3,5,75],[4,5,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,89],[0,3,62],[1,2,48],[1,3,76],[1,4,39],[1,5,62],[3,4,22],[3,5,75],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,89],[0,3,62],[1,2,48],[1,3,76],[1,4,39],[1,5,62],[3,4,22],[3,5,75],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (1,5)\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,89],[0,3,62],[1,2,48],[1,3,76],[1,4,39],[1,5,62],[3,4,22],[3,5,75],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=22, w=22\",\"Add (1,4)=39, w=61\",\"Add (1,2)=48, w=109\",\"Add (0,1)=55, w=164\",\"Add (1,5)=62, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,89],[0,3,62],[1,2,48],[1,3,76],[1,4,39],[1,5,62],[3,4,22],[3,5,75],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=22 Succeeded, w=22\",\"Add (1,4)=39 Succeeded, w=61\",\"Add (1,2)=48 Succeeded, w=109\",\"Add (0,1)=55 Succeeded, w=164\",\"Add (0,3)=62 Failed, w=164\",\"Add (1,5)=62 Succeeded, w=226\",\"Add (4,5)=68 Failed, w=226\",\"Add (3,5)=75 Failed, w=226\",\"Add (1,3)=76 Failed, w=226\",\"Add (0,2)=89 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,89],[0,3,62],[1,2,48],[1,3,76],[1,4,39],[1,5,62],[3,4,22],[3,5,75],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=22,(1,4)=39,(1,2)=48,(0,1)=55,(0,3)=62,(1,5)=62,(4,5)=68,(3,5)=75,(1,3)=76,(0,2)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=22\",\"Find(1)=1, Find(4)=3, Add (1,4)=39 Succeeded, w=61\",\"Find(1)=3, Find(2)=2, Add (1,2)=48 Succeeded, w=109\",\"Find(0)=0, Find(1)=3, Add (0,1)=55 Succeeded, w=164\",\"Find(0)=3, Find(3)=3, Add (0,3)=62 Failed, w=164\",\"Find(1)=3, Find(5)=5, Add (1,5)=62 Succeeded, w=226\",\"Find(4)=3, Find(5)=3, Add (4,5)=68 Failed, w=226\",\"Find(3)=3, Find(5)=3, Add (3,5)=75 Failed, w=226\",\"Find(1)=3, Find(3)=3, Add (1,3)=76 Failed, w=226\",\"Find(0)=3, Find(2)=3, Add (0,2)=89 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,89],[0,3,62],[1,2,48],[1,3,76],[1,4,39],[1,5,62],[3,4,22],[3,5,75],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=22,(1,4)=39,(1,2)=48,(0,1)=55,(0,3)=62,(1,5)=62,(4,5)=68,(3,5)=75,(1,3)=76,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(4)=3, Add (1,4)=39 Succeeded, w=61\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(2)=2, Add (1,2)=48 Succeeded, w=109\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(1)=3, Add (0,1)=55 Succeeded, w=164\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=3, Find(3)=3, Add (0,3)=62 Failed, w=164\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=5, Add (1,5)=62 Succeeded, w=226\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=68 Failed, w=226\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=75 Failed, w=226\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=76 Failed, w=226\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=89 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,31],[0,5,23],[1,3,36],[1,6,10],[1,7,67],[2,3,81],[2,4,28],[2,6,30],[2,7,84],[3,6,76],[4,6,84],[4,7,84],[5,7,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,5,23],[1,3,36],[1,6,10],[1,7,67],[2,3,81],[2,4,28],[2,6,30],[2,7,84],[3,6,76],[4,6,84],[4,7,84],[5,7,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,5,23],[1,3,36],[1,6,10],[1,7,67],[2,3,81],[2,4,28],[2,6,30],[2,7,84],[3,6,76],[4,6,84],[4,7,84],[5,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,5)\",\"Add (5,7)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,5,23],[1,3,36],[1,6,10],[1,7,67],[2,3,81],[2,4,28],[2,6,30],[2,7,84],[3,6,76],[4,6,84],[4,7,84],[5,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=10, w=10\",\"Add (0,5)=23, w=33\",\"Add (5,7)=24, w=57\",\"Add (2,4)=28, w=85\",\"Add (2,6)=30, w=115\",\"Add (0,2)=31, w=146\",\"Add (1,3)=36, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,5,23],[1,3,36],[1,6,10],[1,7,67],[2,3,81],[2,4,28],[2,6,30],[2,7,84],[3,6,76],[4,6,84],[4,7,84],[5,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=10 Succeeded, w=10\",\"Add (0,5)=23 Succeeded, w=33\",\"Add (5,7)=24 Succeeded, w=57\",\"Add (2,4)=28 Succeeded, w=85\",\"Add (2,6)=30 Succeeded, w=115\",\"Add (0,2)=31 Succeeded, w=146\",\"Add (1,3)=36 Succeeded, w=182\",\"Add (1,7)=67 Failed, w=182\",\"Add (3,6)=76 Failed, w=182\",\"Add (2,3)=81 Failed, w=182\",\"Add (2,7)=84 Failed, w=182\",\"Add (4,6)=84 Failed, w=182\",\"Add (4,7)=84 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,5,23],[1,3,36],[1,6,10],[1,7,67],[2,3,81],[2,4,28],[2,6,30],[2,7,84],[3,6,76],[4,6,84],[4,7,84],[5,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=10,(0,5)=23,(5,7)=24,(2,4)=28,(2,6)=30,(0,2)=31,(1,3)=36,(1,7)=67,(3,6)=76,(2,3)=81,(2,7)=84,(4,6)=84,(4,7)=84]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=10 Succeeded, w=10\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=33\",\"Find(5)=0, Find(7)=7, Add (5,7)=24 Succeeded, w=57\",\"Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=85\",\"Find(2)=2, Find(6)=1, Add (2,6)=30 Succeeded, w=115\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=146\",\"Find(1)=2, Find(3)=3, Add (1,3)=36 Succeeded, w=182\",\"Find(1)=2, Find(7)=2, Add (1,7)=67 Failed, w=182\",\"Find(3)=2, Find(6)=2, Add (3,6)=76 Failed, w=182\",\"Find(2)=2, Find(3)=2, Add (2,3)=81 Failed, w=182\",\"Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=182\",\"Find(4)=2, Find(6)=2, Add (4,6)=84 Failed, w=182\",\"Find(4)=2, Find(7)=2, Add (4,7)=84 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,5,23],[1,3,36],[1,6,10],[1,7,67],[2,3,81],[2,4,28],[2,6,30],[2,7,84],[3,6,76],[4,6,84],[4,7,84],[5,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=10,(0,5)=23,(5,7)=24,(2,4)=28,(2,6)=30,(0,2)=31,(1,3)=36,(1,7)=67,(3,6)=76,(2,3)=81,(2,7)=84,(4,6)=84,(4,7)=84]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=24 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 1, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=85\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 1, 7: 0}, Find(2)=2, Find(6)=1, Add (2,6)=30 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 1, 7: 0}, Find(1)=2, Find(3)=3, Add (1,3)=36 Succeeded, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 1, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=67 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=76 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=81 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=84 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=84 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,37],[0,2,91],[0,5,94],[1,2,20],[1,4,53],[1,5,34],[2,3,99],[3,5,48],[4,5,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,91],[0,5,94],[1,2,20],[1,4,53],[1,5,34],[2,3,99],[3,5,48],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,91],[0,5,94],[1,2,20],[1,4,53],[1,5,34],[2,3,99],[3,5,48],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,91],[0,5,94],[1,2,20],[1,4,53],[1,5,34],[2,3,99],[3,5,48],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=20, w=20\",\"Add (1,5)=34, w=54\",\"Add (0,1)=37, w=91\",\"Add (4,5)=42, w=133\",\"Add (3,5)=48, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,91],[0,5,94],[1,2,20],[1,4,53],[1,5,34],[2,3,99],[3,5,48],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=20 Succeeded, w=20\",\"Add (1,5)=34 Succeeded, w=54\",\"Add (0,1)=37 Succeeded, w=91\",\"Add (4,5)=42 Succeeded, w=133\",\"Add (3,5)=48 Succeeded, w=181\",\"Add (1,4)=53 Failed, w=181\",\"Add (0,2)=91 Failed, w=181\",\"Add (0,5)=94 Failed, w=181\",\"Add (2,3)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,91],[0,5,94],[1,2,20],[1,4,53],[1,5,34],[2,3,99],[3,5,48],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=20,(1,5)=34,(0,1)=37,(4,5)=42,(3,5)=48,(1,4)=53,(0,2)=91,(0,5)=94,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=20\",\"Find(1)=1, Find(5)=5, Add (1,5)=34 Succeeded, w=54\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=91\",\"Find(4)=4, Find(5)=1, Add (4,5)=42 Succeeded, w=133\",\"Find(3)=3, Find(5)=1, Add (3,5)=48 Succeeded, w=181\",\"Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=181\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=181\",\"Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=181\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,91],[0,5,94],[1,2,20],[1,4,53],[1,5,34],[2,3,99],[3,5,48],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=20,(1,5)=34,(0,1)=37,(4,5)=42,(3,5)=48,(1,4)=53,(0,2)=91,(0,5)=94,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=34 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=42 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=48 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,52],[0,2,69],[0,4,35],[0,5,45],[0,7,55],[1,2,19],[1,3,44],[1,4,94],[1,6,15],[1,7,38],[2,4,11],[2,7,1],[3,4,35],[3,5,60],[3,6,17],[4,5,57],[4,6,50],[5,6,39],[5,7,79],[6,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,69],[0,4,35],[0,5,45],[0,7,55],[1,2,19],[1,3,44],[1,4,94],[1,6,15],[1,7,38],[2,4,11],[2,7,1],[3,4,35],[3,5,60],[3,6,17],[4,5,57],[4,6,50],[5,6,39],[5,7,79],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,69],[0,4,35],[0,5,45],[0,7,55],[1,2,19],[1,3,44],[1,4,94],[1,6,15],[1,7,38],[2,4,11],[2,7,1],[3,4,35],[3,5,60],[3,6,17],[4,5,57],[4,6,50],[5,6,39],[5,7,79],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (5,6)\"],\"Answer\":137}",
"role": "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],[0,2,69],[0,4,35],[0,5,45],[0,7,55],[1,2,19],[1,3,44],[1,4,94],[1,6,15],[1,7,38],[2,4,11],[2,7,1],[3,4,35],[3,5,60],[3,6,17],[4,5,57],[4,6,50],[5,6,39],[5,7,79],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=1, w=1\",\"Add (2,4)=11, w=12\",\"Add (1,6)=15, w=27\",\"Add (3,6)=17, w=44\",\"Add (1,2)=19, w=63\",\"Add (0,4)=35, w=98\",\"Add (5,6)=39, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,69],[0,4,35],[0,5,45],[0,7,55],[1,2,19],[1,3,44],[1,4,94],[1,6,15],[1,7,38],[2,4,11],[2,7,1],[3,4,35],[3,5,60],[3,6,17],[4,5,57],[4,6,50],[5,6,39],[5,7,79],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=1 Succeeded, w=1\",\"Add (2,4)=11 Succeeded, w=12\",\"Add (1,6)=15 Succeeded, w=27\",\"Add (3,6)=17 Succeeded, w=44\",\"Add (1,2)=19 Succeeded, w=63\",\"Add (0,4)=35 Succeeded, w=98\",\"Add (3,4)=35 Failed, w=98\",\"Add (1,7)=38 Failed, w=98\",\"Add (5,6)=39 Succeeded, w=137\",\"Add (1,3)=44 Failed, w=137\",\"Add (0,5)=45 Failed, w=137\",\"Add (4,6)=50 Failed, w=137\",\"Add (0,1)=52 Failed, w=137\",\"Add (6,7)=52 Failed, w=137\",\"Add (0,7)=55 Failed, w=137\",\"Add (4,5)=57 Failed, w=137\",\"Add (3,5)=60 Failed, w=137\",\"Add (0,2)=69 Failed, w=137\",\"Add (5,7)=79 Failed, w=137\",\"Add (1,4)=94 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,69],[0,4,35],[0,5,45],[0,7,55],[1,2,19],[1,3,44],[1,4,94],[1,6,15],[1,7,38],[2,4,11],[2,7,1],[3,4,35],[3,5,60],[3,6,17],[4,5,57],[4,6,50],[5,6,39],[5,7,79],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=1,(2,4)=11,(1,6)=15,(3,6)=17,(1,2)=19,(0,4)=35,(3,4)=35,(1,7)=38,(5,6)=39,(1,3)=44,(0,5)=45,(4,6)=50,(0,1)=52,(6,7)=52,(0,7)=55,(4,5)=57,(3,5)=60,(0,2)=69,(5,7)=79,(1,4)=94]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=12\",\"Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=27\",\"Find(3)=3, Find(6)=1, Add (3,6)=17 Succeeded, w=44\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=63\",\"Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=98\",\"Find(3)=1, Find(4)=1, Add (3,4)=35 Failed, w=98\",\"Find(1)=1, Find(7)=1, Add (1,7)=38 Failed, w=98\",\"Find(5)=5, Find(6)=1, Add (5,6)=39 Succeeded, w=137\",\"Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=137\",\"Find(0)=1, Find(5)=1, Add (0,5)=45 Failed, w=137\",\"Find(4)=1, Find(6)=1, Add (4,6)=50 Failed, w=137\",\"Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=137\",\"Find(6)=1, Find(7)=1, Add (6,7)=52 Failed, w=137\",\"Find(0)=1, Find(7)=1, Add (0,7)=55 Failed, w=137\",\"Find(4)=1, Find(5)=1, Add (4,5)=57 Failed, w=137\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=137\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=137\",\"Find(5)=1, Find(7)=1, Add (5,7)=79 Failed, w=137\",\"Find(1)=1, Find(4)=1, Add (1,4)=94 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,69],[0,4,35],[0,5,45],[0,7,55],[1,2,19],[1,3,44],[1,4,94],[1,6,15],[1,7,38],[2,4,11],[2,7,1],[3,4,35],[3,5,60],[3,6,17],[4,5,57],[4,6,50],[5,6,39],[5,7,79],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=1,(2,4)=11,(1,6)=15,(3,6)=17,(1,2)=19,(0,4)=35,(3,4)=35,(1,7)=38,(5,6)=39,(1,3)=44,(0,5)=45,(4,6)=50,(0,1)=52,(6,7)=52,(0,7)=55,(4,5)=57,(3,5)=60,(0,2)=69,(5,7)=79,(1,4)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1, 7: 2}, Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 1, 7: 2}, Find(3)=3, Find(6)=1, Add (3,6)=17 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 1, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 2}, Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 2}, Find(3)=1, Find(4)=1, Add (3,4)=35 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=38 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(6)=1, Add (5,6)=39 Succeeded, w=137\",\"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)=44 Failed, w=137\",\"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)=45 Failed, w=137\",\"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)=50 Failed, w=137\",\"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)=52 Failed, w=137\",\"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)=52 Failed, w=137\",\"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)=55 Failed, w=137\",\"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)=57 Failed, w=137\",\"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)=60 Failed, w=137\",\"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)=69 Failed, w=137\",\"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)=79 Failed, w=137\",\"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)=94 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,37],[0,2,67],[0,3,76],[1,2,26],[1,3,88],[2,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,67],[0,3,76],[1,2,26],[1,3,88],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,67],[0,3,76],[1,2,26],[1,3,88],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,67],[0,3,76],[1,2,26],[1,3,88],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (1,2)=26, w=44\",\"Add (0,1)=37, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,67],[0,3,76],[1,2,26],[1,3,88],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (1,2)=26 Succeeded, w=44\",\"Add (0,1)=37 Succeeded, w=81\",\"Add (0,2)=67 Failed, w=81\",\"Add (0,3)=76 Failed, w=81\",\"Add (1,3)=88 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,67],[0,3,76],[1,2,26],[1,3,88],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(1,2)=26,(0,1)=37,(0,2)=67,(0,3)=76,(1,3)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=44\",\"Find(0)=0, Find(1)=2, Add (0,1)=37 Succeeded, w=81\",\"Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=81\",\"Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=81\",\"Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,67],[0,3,76],[1,2,26],[1,3,88],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(1,2)=26,(0,1)=37,(0,2)=67,(0,3)=76,(1,3)=88]\",\"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)=26 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=37 Succeeded, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,10],[1,2,74],[1,3,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,74],[1,3,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,74],[1,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,74],[1,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,3)=35, w=45\",\"Add (1,2)=74, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,74],[1,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,3)=35 Succeeded, w=45\",\"Add (1,2)=74 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,74],[1,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=35,(1,2)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=0, Add (1,3)=35 Succeeded, w=45\",\"Find(1)=0, Find(2)=2, Add (1,2)=74 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,74],[1,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=35,(1,2)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=35 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=74 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,2,63],[0,3,86],[1,2,41],[1,3,85],[2,3,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,63],[0,3,86],[1,2,41],[1,3,85],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,63],[0,3,86],[1,2,41],[1,3,85],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,63],[0,3,86],[1,2,41],[1,3,85],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=30, w=30\",\"Add (1,2)=41, w=71\",\"Add (0,1)=50, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,63],[0,3,86],[1,2,41],[1,3,85],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=30 Succeeded, w=30\",\"Add (1,2)=41 Succeeded, w=71\",\"Add (0,1)=50 Succeeded, w=121\",\"Add (0,2)=63 Failed, w=121\",\"Add (1,3)=85 Failed, w=121\",\"Add (0,3)=86 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,63],[0,3,86],[1,2,41],[1,3,85],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=30,(1,2)=41,(0,1)=50,(0,2)=63,(1,3)=85,(0,3)=86]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=30\",\"Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=71\",\"Find(0)=0, Find(1)=2, Add (0,1)=50 Succeeded, w=121\",\"Find(0)=2, Find(2)=2, Add (0,2)=63 Failed, w=121\",\"Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=121\",\"Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,63],[0,3,86],[1,2,41],[1,3,85],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=30,(1,2)=41,(0,1)=50,(0,2)=63,(1,3)=85,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=50 Succeeded, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=63 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,65],[0,2,51],[1,2,22],[1,3,60],[2,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,51],[1,2,22],[1,3,60],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,51],[1,2,22],[1,3,60],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,51],[1,2,22],[1,3,60],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (0,2)=51, w=73\",\"Add (2,3)=52, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,51],[1,2,22],[1,3,60],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (0,2)=51 Succeeded, w=73\",\"Add (2,3)=52 Succeeded, w=125\",\"Add (1,3)=60 Failed, w=125\",\"Add (0,1)=65 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,51],[1,2,22],[1,3,60],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,2)=51,(2,3)=52,(1,3)=60,(0,1)=65]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(0)=0, Find(2)=1, Add (0,2)=51 Succeeded, w=73\",\"Find(2)=1, Find(3)=3, Add (2,3)=52 Succeeded, w=125\",\"Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=125\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,51],[1,2,22],[1,3,60],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,2)=51,(2,3)=52,(1,3)=60,(0,1)=65]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=51 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=52 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,49],[0,3,61],[0,4,87],[0,5,30],[0,6,52],[1,2,92],[1,3,39],[1,4,10],[1,5,48],[1,6,84],[2,3,22],[2,4,87],[2,5,1],[2,6,36],[3,4,3],[3,5,14],[3,6,63],[4,5,43],[4,6,51],[5,6,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,49],[0,3,61],[0,4,87],[0,5,30],[0,6,52],[1,2,92],[1,3,39],[1,4,10],[1,5,48],[1,6,84],[2,3,22],[2,4,87],[2,5,1],[2,6,36],[3,4,3],[3,5,14],[3,6,63],[4,5,43],[4,6,51],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,49],[0,3,61],[0,4,87],[0,5,30],[0,6,52],[1,2,92],[1,3,39],[1,4,10],[1,5,48],[1,6,84],[2,3,22],[2,4,87],[2,5,1],[2,6,36],[3,4,3],[3,5,14],[3,6,63],[4,5,43],[4,6,51],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (2,6)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,49],[0,3,61],[0,4,87],[0,5,30],[0,6,52],[1,2,92],[1,3,39],[1,4,10],[1,5,48],[1,6,84],[2,3,22],[2,4,87],[2,5,1],[2,6,36],[3,4,3],[3,5,14],[3,6,63],[4,5,43],[4,6,51],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (3,4)=3, w=4\",\"Add (1,4)=10, w=14\",\"Add (3,5)=14, w=28\",\"Add (0,5)=30, w=58\",\"Add (2,6)=36, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,49],[0,3,61],[0,4,87],[0,5,30],[0,6,52],[1,2,92],[1,3,39],[1,4,10],[1,5,48],[1,6,84],[2,3,22],[2,4,87],[2,5,1],[2,6,36],[3,4,3],[3,5,14],[3,6,63],[4,5,43],[4,6,51],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (3,4)=3 Succeeded, w=4\",\"Add (1,4)=10 Succeeded, w=14\",\"Add (3,5)=14 Succeeded, w=28\",\"Add (2,3)=22 Failed, w=28\",\"Add (0,5)=30 Succeeded, w=58\",\"Add (2,6)=36 Succeeded, w=94\",\"Add (1,3)=39 Failed, w=94\",\"Add (4,5)=43 Failed, w=94\",\"Add (1,5)=48 Failed, w=94\",\"Add (0,2)=49 Failed, w=94\",\"Add (4,6)=51 Failed, w=94\",\"Add (0,6)=52 Failed, w=94\",\"Add (5,6)=59 Failed, w=94\",\"Add (0,3)=61 Failed, w=94\",\"Add (3,6)=63 Failed, w=94\",\"Add (1,6)=84 Failed, w=94\",\"Add (0,4)=87 Failed, w=94\",\"Add (2,4)=87 Failed, w=94\",\"Add (1,2)=92 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,49],[0,3,61],[0,4,87],[0,5,30],[0,6,52],[1,2,92],[1,3,39],[1,4,10],[1,5,48],[1,6,84],[2,3,22],[2,4,87],[2,5,1],[2,6,36],[3,4,3],[3,5,14],[3,6,63],[4,5,43],[4,6,51],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(3,4)=3,(1,4)=10,(3,5)=14,(2,3)=22,(0,5)=30,(2,6)=36,(1,3)=39,(4,5)=43,(1,5)=48,(0,2)=49,(4,6)=51,(0,6)=52,(5,6)=59,(0,3)=61,(3,6)=63,(1,6)=84,(0,4)=87,(2,4)=87,(1,2)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=4\",\"Find(1)=1, Find(4)=3, Add (1,4)=10 Succeeded, w=14\",\"Find(3)=3, Find(5)=2, Add (3,5)=14 Succeeded, w=28\",\"Find(2)=3, Find(3)=3, Add (2,3)=22 Failed, w=28\",\"Find(0)=0, Find(5)=3, Add (0,5)=30 Succeeded, w=58\",\"Find(2)=3, Find(6)=6, Add (2,6)=36 Succeeded, w=94\",\"Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=94\",\"Find(4)=3, Find(5)=3, Add (4,5)=43 Failed, w=94\",\"Find(1)=3, Find(5)=3, Add (1,5)=48 Failed, w=94\",\"Find(0)=3, Find(2)=3, Add (0,2)=49 Failed, w=94\",\"Find(4)=3, Find(6)=3, Add (4,6)=51 Failed, w=94\",\"Find(0)=3, Find(6)=3, Add (0,6)=52 Failed, w=94\",\"Find(5)=3, Find(6)=3, Add (5,6)=59 Failed, w=94\",\"Find(0)=3, Find(3)=3, Add (0,3)=61 Failed, w=94\",\"Find(3)=3, Find(6)=3, Add (3,6)=63 Failed, w=94\",\"Find(1)=3, Find(6)=3, Add (1,6)=84 Failed, w=94\",\"Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=94\",\"Find(2)=3, Find(4)=3, Add (2,4)=87 Failed, w=94\",\"Find(1)=3, Find(2)=3, Add (1,2)=92 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,49],[0,3,61],[0,4,87],[0,5,30],[0,6,52],[1,2,92],[1,3,39],[1,4,10],[1,5,48],[1,6,84],[2,3,22],[2,4,87],[2,5,1],[2,6,36],[3,4,3],[3,5,14],[3,6,63],[4,5,43],[4,6,51],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(3,4)=3,(1,4)=10,(3,5)=14,(2,3)=22,(0,5)=30,(2,6)=36,(1,3)=39,(4,5)=43,(1,5)=48,(0,2)=49,(4,6)=51,(0,6)=52,(5,6)=59,(0,3)=61,(3,6)=63,(1,6)=84,(0,4)=87,(2,4)=87,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, 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: 2, 6: 6}, Find(3)=3, Find(5)=2, Add (3,5)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 6}, Find(2)=3, Find(3)=3, Add (2,3)=22 Failed, w=28\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(5)=3, Add (0,5)=30 Succeeded, w=58\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=6, Add (2,6)=36 Succeeded, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=43 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=48 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=49 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=51 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=52 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=59 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=61 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=63 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=84 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=87 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=92 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,2,0],[0,3,50],[0,4,27],[0,5,48],[0,6,37],[0,7,75],[1,2,82],[1,3,39],[1,4,69],[1,5,41],[1,6,39],[1,7,51],[2,3,17],[2,4,18],[2,5,9],[2,6,96],[2,7,79],[3,4,77],[3,6,32],[3,7,53],[4,5,94],[4,6,39],[4,7,45],[5,6,17],[5,7,29],[6,7,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,0],[0,3,50],[0,4,27],[0,5,48],[0,6,37],[0,7,75],[1,2,82],[1,3,39],[1,4,69],[1,5,41],[1,6,39],[1,7,51],[2,3,17],[2,4,18],[2,5,9],[2,6,96],[2,7,79],[3,4,77],[3,6,32],[3,7,53],[4,5,94],[4,6,39],[4,7,45],[5,6,17],[5,7,29],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,0],[0,3,50],[0,4,27],[0,5,48],[0,6,37],[0,7,75],[1,2,82],[1,3,39],[1,4,69],[1,5,41],[1,6,39],[1,7,51],[2,3,17],[2,4,18],[2,5,9],[2,6,96],[2,7,79],[3,4,77],[3,6,32],[3,7,53],[4,5,94],[4,6,39],[4,7,45],[5,6,17],[5,7,29],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (5,7)\",\"Add (1,3)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,0],[0,3,50],[0,4,27],[0,5,48],[0,6,37],[0,7,75],[1,2,82],[1,3,39],[1,4,69],[1,5,41],[1,6,39],[1,7,51],[2,3,17],[2,4,18],[2,5,9],[2,6,96],[2,7,79],[3,4,77],[3,6,32],[3,7,53],[4,5,94],[4,6,39],[4,7,45],[5,6,17],[5,7,29],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (2,5)=9, w=9\",\"Add (2,3)=17, w=26\",\"Add (5,6)=17, w=43\",\"Add (2,4)=18, w=61\",\"Add (5,7)=29, w=90\",\"Add (1,3)=39, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,0],[0,3,50],[0,4,27],[0,5,48],[0,6,37],[0,7,75],[1,2,82],[1,3,39],[1,4,69],[1,5,41],[1,6,39],[1,7,51],[2,3,17],[2,4,18],[2,5,9],[2,6,96],[2,7,79],[3,4,77],[3,6,32],[3,7,53],[4,5,94],[4,6,39],[4,7,45],[5,6,17],[5,7,29],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (2,5)=9 Succeeded, w=9\",\"Add (2,3)=17 Succeeded, w=26\",\"Add (5,6)=17 Succeeded, w=43\",\"Add (2,4)=18 Succeeded, w=61\",\"Add (0,4)=27 Failed, w=61\",\"Add (5,7)=29 Succeeded, w=90\",\"Add (3,6)=32 Failed, w=90\",\"Add (0,6)=37 Failed, w=90\",\"Add (1,3)=39 Succeeded, w=129\",\"Add (1,6)=39 Failed, w=129\",\"Add (4,6)=39 Failed, w=129\",\"Add (1,5)=41 Failed, w=129\",\"Add (4,7)=45 Failed, w=129\",\"Add (0,5)=48 Failed, w=129\",\"Add (0,3)=50 Failed, w=129\",\"Add (1,7)=51 Failed, w=129\",\"Add (3,7)=53 Failed, w=129\",\"Add (6,7)=55 Failed, w=129\",\"Add (1,4)=69 Failed, w=129\",\"Add (0,7)=75 Failed, w=129\",\"Add (0,1)=76 Failed, w=129\",\"Add (3,4)=77 Failed, w=129\",\"Add (2,7)=79 Failed, w=129\",\"Add (1,2)=82 Failed, w=129\",\"Add (4,5)=94 Failed, w=129\",\"Add (2,6)=96 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,0],[0,3,50],[0,4,27],[0,5,48],[0,6,37],[0,7,75],[1,2,82],[1,3,39],[1,4,69],[1,5,41],[1,6,39],[1,7,51],[2,3,17],[2,4,18],[2,5,9],[2,6,96],[2,7,79],[3,4,77],[3,6,32],[3,7,53],[4,5,94],[4,6,39],[4,7,45],[5,6,17],[5,7,29],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,5)=9,(2,3)=17,(5,6)=17,(2,4)=18,(0,4)=27,(5,7)=29,(3,6)=32,(0,6)=37,(1,3)=39,(1,6)=39,(4,6)=39,(1,5)=41,(4,7)=45,(0,5)=48,(0,3)=50,(1,7)=51,(3,7)=53,(6,7)=55,(1,4)=69,(0,7)=75,(0,1)=76,(3,4)=77,(2,7)=79,(1,2)=82,(4,5)=94,(2,6)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(2)=0, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Find(2)=0, Find(3)=3, Add (2,3)=17 Succeeded, w=26\",\"Find(5)=0, Find(6)=6, Add (5,6)=17 Succeeded, w=43\",\"Find(2)=0, Find(4)=4, Add (2,4)=18 Succeeded, w=61\",\"Find(0)=0, Find(4)=0, Add (0,4)=27 Failed, w=61\",\"Find(5)=0, Find(7)=7, Add (5,7)=29 Succeeded, w=90\",\"Find(3)=0, Find(6)=0, Add (3,6)=32 Failed, w=90\",\"Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=90\",\"Find(1)=1, Find(3)=0, Add (1,3)=39 Succeeded, w=129\",\"Find(1)=0, Find(6)=0, Add (1,6)=39 Failed, w=129\",\"Find(4)=0, Find(6)=0, Add (4,6)=39 Failed, w=129\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=129\",\"Find(4)=0, Find(7)=0, Add (4,7)=45 Failed, w=129\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=129\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=129\",\"Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=129\",\"Find(3)=0, Find(7)=0, Add (3,7)=53 Failed, w=129\",\"Find(6)=0, Find(7)=0, Add (6,7)=55 Failed, w=129\",\"Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=129\",\"Find(0)=0, Find(7)=0, Add (0,7)=75 Failed, w=129\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=129\",\"Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=129\",\"Find(2)=0, Find(7)=0, Add (2,7)=79 Failed, w=129\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=129\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=129\",\"Find(2)=0, Find(6)=0, Add (2,6)=96 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,0],[0,3,50],[0,4,27],[0,5,48],[0,6,37],[0,7,75],[1,2,82],[1,3,39],[1,4,69],[1,5,41],[1,6,39],[1,7,51],[2,3,17],[2,4,18],[2,5,9],[2,6,96],[2,7,79],[3,4,77],[3,6,32],[3,7,53],[4,5,94],[4,6,39],[4,7,45],[5,6,17],[5,7,29],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,5)=9,(2,3)=17,(5,6)=17,(2,4)=18,(0,4)=27,(5,7)=29,(3,6)=32,(0,6)=37,(1,3)=39,(1,6)=39,(4,6)=39,(1,5)=41,(4,7)=45,(0,5)=48,(0,3)=50,(1,7)=51,(3,7)=53,(6,7)=55,(1,4)=69,(0,7)=75,(0,1)=76,(3,4)=77,(2,7)=79,(1,2)=82,(4,5)=94,(2,6)=96]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=17 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=6, Add (5,6)=17 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=18 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(4)=0, Add (0,4)=27 Failed, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=29 Succeeded, w=90\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=32 Failed, w=90\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=39 Succeeded, w=129\",\"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)=39 Failed, w=129\",\"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)=39 Failed, w=129\",\"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)=41 Failed, w=129\",\"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)=45 Failed, w=129\",\"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)=48 Failed, w=129\",\"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)=50 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=129\",\"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)=53 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=55 Failed, w=129\",\"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)=69 Failed, w=129\",\"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)=75 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=129\",\"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)=77 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=79 Failed, w=129\",\"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)=82 Failed, w=129\",\"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)=94 Failed, w=129\",\"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)=96 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,74],[1,2,19],[2,4,38],[3,4,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,74],[1,2,19],[2,4,38],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,74],[1,2,19],[2,4,38],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,74],[1,2,19],[2,4,38],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19, w=19\",\"Add (2,4)=38, w=57\",\"Add (3,4)=40, w=97\",\"Add (0,4)=74, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,74],[1,2,19],[2,4,38],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19 Succeeded, w=19\",\"Add (2,4)=38 Succeeded, w=57\",\"Add (3,4)=40 Succeeded, w=97\",\"Add (0,4)=74 Succeeded, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,74],[1,2,19],[2,4,38],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(2,4)=38,(3,4)=40,(0,4)=74]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Find(2)=1, Find(4)=4, Add (2,4)=38 Succeeded, w=57\",\"Find(3)=3, Find(4)=1, Add (3,4)=40 Succeeded, w=97\",\"Find(0)=0, Find(4)=1, Add (0,4)=74 Succeeded, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,74],[1,2,19],[2,4,38],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(2,4)=38,(3,4)=40,(0,4)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=38 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=40 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=74 Succeeded, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,27],[0,2,2],[0,3,63],[1,2,53],[1,4,80],[3,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,2],[0,3,63],[1,2,53],[1,4,80],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,2],[0,3,63],[1,2,53],[1,4,80],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,2],[0,3,63],[1,2,53],[1,4,80],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (0,1)=27, w=29\",\"Add (0,3)=63, w=92\",\"Add (1,4)=80, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,2],[0,3,63],[1,2,53],[1,4,80],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (0,1)=27 Succeeded, w=29\",\"Add (1,2)=53 Failed, w=29\",\"Add (0,3)=63 Succeeded, w=92\",\"Add (1,4)=80 Succeeded, w=172\",\"Add (3,4)=91 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,2],[0,3,63],[1,2,53],[1,4,80],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,1)=27,(1,2)=53,(0,3)=63,(1,4)=80,(3,4)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=29\",\"Find(1)=0, Find(2)=0, Add (1,2)=53 Failed, w=29\",\"Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=92\",\"Find(1)=0, Find(4)=4, Add (1,4)=80 Succeeded, w=172\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,2],[0,3,63],[1,2,53],[1,4,80],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,1)=27,(1,2)=53,(0,3)=63,(1,4)=80,(3,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=53 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=80 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,85],[0,3,21],[0,6,26],[0,7,76],[1,3,3],[1,4,61],[1,6,38],[1,7,71],[2,3,87],[2,4,27],[2,6,98],[2,7,64],[3,4,29],[3,5,15],[3,6,50],[4,5,13],[4,6,48],[4,7,31],[5,7,54],[6,7,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,3,21],[0,6,26],[0,7,76],[1,3,3],[1,4,61],[1,6,38],[1,7,71],[2,3,87],[2,4,27],[2,6,98],[2,7,64],[3,4,29],[3,5,15],[3,6,50],[4,5,13],[4,6,48],[4,7,31],[5,7,54],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,3,21],[0,6,26],[0,7,76],[1,3,3],[1,4,61],[1,6,38],[1,7,71],[2,3,87],[2,4,27],[2,6,98],[2,7,64],[3,4,29],[3,5,15],[3,6,50],[4,5,13],[4,6,48],[4,7,31],[5,7,54],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (6,7)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (2,4)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,3,21],[0,6,26],[0,7,76],[1,3,3],[1,4,61],[1,6,38],[1,7,71],[2,3,87],[2,4,27],[2,6,98],[2,7,64],[3,4,29],[3,5,15],[3,6,50],[4,5,13],[4,6,48],[4,7,31],[5,7,54],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (4,5)=13, w=16\",\"Add (3,5)=15, w=31\",\"Add (6,7)=16, w=47\",\"Add (0,3)=21, w=68\",\"Add (0,6)=26, w=94\",\"Add (2,4)=27, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,3,21],[0,6,26],[0,7,76],[1,3,3],[1,4,61],[1,6,38],[1,7,71],[2,3,87],[2,4,27],[2,6,98],[2,7,64],[3,4,29],[3,5,15],[3,6,50],[4,5,13],[4,6,48],[4,7,31],[5,7,54],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (4,5)=13 Succeeded, w=16\",\"Add (3,5)=15 Succeeded, w=31\",\"Add (6,7)=16 Succeeded, w=47\",\"Add (0,3)=21 Succeeded, w=68\",\"Add (0,6)=26 Succeeded, w=94\",\"Add (2,4)=27 Succeeded, w=121\",\"Add (3,4)=29 Failed, w=121\",\"Add (4,7)=31 Failed, w=121\",\"Add (1,6)=38 Failed, w=121\",\"Add (4,6)=48 Failed, w=121\",\"Add (3,6)=50 Failed, w=121\",\"Add (5,7)=54 Failed, w=121\",\"Add (1,4)=61 Failed, w=121\",\"Add (2,7)=64 Failed, w=121\",\"Add (1,7)=71 Failed, w=121\",\"Add (0,7)=76 Failed, w=121\",\"Add (0,1)=85 Failed, w=121\",\"Add (2,3)=87 Failed, w=121\",\"Add (2,6)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,3,21],[0,6,26],[0,7,76],[1,3,3],[1,4,61],[1,6,38],[1,7,71],[2,3,87],[2,4,27],[2,6,98],[2,7,64],[3,4,29],[3,5,15],[3,6,50],[4,5,13],[4,6,48],[4,7,31],[5,7,54],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(4,5)=13,(3,5)=15,(6,7)=16,(0,3)=21,(0,6)=26,(2,4)=27,(3,4)=29,(4,7)=31,(1,6)=38,(4,6)=48,(3,6)=50,(5,7)=54,(1,4)=61,(2,7)=64,(1,7)=71,(0,7)=76,(0,1)=85,(2,3)=87,(2,6)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=16\",\"Find(3)=1, Find(5)=4, Add (3,5)=15 Succeeded, w=31\",\"Find(6)=6, Find(7)=7, Add (6,7)=16 Succeeded, w=47\",\"Find(0)=0, Find(3)=1, Add (0,3)=21 Succeeded, w=68\",\"Find(0)=1, Find(6)=6, Add (0,6)=26 Succeeded, w=94\",\"Find(2)=2, Find(4)=1, Add (2,4)=27 Succeeded, w=121\",\"Find(3)=1, Find(4)=1, Add (3,4)=29 Failed, w=121\",\"Find(4)=1, Find(7)=1, Add (4,7)=31 Failed, w=121\",\"Find(1)=1, Find(6)=1, Add (1,6)=38 Failed, w=121\",\"Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=121\",\"Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=121\",\"Find(5)=1, Find(7)=1, Add (5,7)=54 Failed, w=121\",\"Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=121\",\"Find(2)=1, Find(7)=1, Add (2,7)=64 Failed, w=121\",\"Find(1)=1, Find(7)=1, Add (1,7)=71 Failed, w=121\",\"Find(0)=1, Find(7)=1, Add (0,7)=76 Failed, w=121\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=121\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=121\",\"Find(2)=1, Find(6)=1, Add (2,6)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,3,21],[0,6,26],[0,7,76],[1,3,3],[1,4,61],[1,6,38],[1,7,71],[2,3,87],[2,4,27],[2,6,98],[2,7,64],[3,4,29],[3,5,15],[3,6,50],[4,5,13],[4,6,48],[4,7,31],[5,7,54],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(4,5)=13,(3,5)=15,(6,7)=16,(0,3)=21,(0,6)=26,(2,4)=27,(3,4)=29,(4,7)=31,(1,6)=38,(4,6)=48,(3,6)=50,(5,7)=54,(1,4)=61,(2,7)=64,(1,7)=71,(0,7)=76,(0,1)=85,(2,3)=87,(2,6)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 6, 7: 7}, Find(3)=1, Find(5)=4, Add (3,5)=15 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=16 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 6, 7: 6}, Find(0)=0, Find(3)=1, Add (0,3)=21 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 1, 7: 6}, Find(0)=1, Find(6)=6, Add (0,6)=26 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 6}, Find(2)=2, Find(4)=1, Add (2,4)=27 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 6}, Find(3)=1, Find(4)=1, Add (3,4)=29 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=31 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=38 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=121\",\"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)=54 Failed, w=121\",\"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)=61 Failed, w=121\",\"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)=64 Failed, w=121\",\"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)=71 Failed, w=121\",\"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)=76 Failed, w=121\",\"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)=85 Failed, w=121\",\"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)=87 Failed, w=121\",\"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)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,3,32],[0,4,38],[0,6,50],[0,7,12],[1,2,95],[1,3,84],[1,4,20],[1,5,44],[1,6,72],[1,7,49],[2,3,72],[2,4,28],[2,5,89],[2,6,69],[2,7,92],[3,4,42],[3,5,75],[3,6,12],[3,7,54],[4,5,83],[4,6,96],[4,7,63],[5,6,25],[5,7,93],[6,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,3,32],[0,4,38],[0,6,50],[0,7,12],[1,2,95],[1,3,84],[1,4,20],[1,5,44],[1,6,72],[1,7,49],[2,3,72],[2,4,28],[2,5,89],[2,6,69],[2,7,92],[3,4,42],[3,5,75],[3,6,12],[3,7,54],[4,5,83],[4,6,96],[4,7,63],[5,6,25],[5,7,93],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,3,32],[0,4,38],[0,6,50],[0,7,12],[1,2,95],[1,3,84],[1,4,20],[1,5,44],[1,6,72],[1,7,49],[2,3,72],[2,4,28],[2,5,89],[2,6,69],[2,7,92],[3,4,42],[3,5,75],[3,6,12],[3,7,54],[4,5,83],[4,6,96],[4,7,63],[5,6,25],[5,7,93],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (6,7)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,3,32],[0,4,38],[0,6,50],[0,7,12],[1,2,95],[1,3,84],[1,4,20],[1,5,44],[1,6,72],[1,7,49],[2,3,72],[2,4,28],[2,5,89],[2,6,69],[2,7,92],[3,4,42],[3,5,75],[3,6,12],[3,7,54],[4,5,83],[4,6,96],[4,7,63],[5,6,25],[5,7,93],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=12, w=12\",\"Add (3,6)=12, w=24\",\"Add (1,4)=20, w=44\",\"Add (6,7)=22, w=66\",\"Add (5,6)=25, w=91\",\"Add (0,1)=26, w=117\",\"Add (2,4)=28, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,3,32],[0,4,38],[0,6,50],[0,7,12],[1,2,95],[1,3,84],[1,4,20],[1,5,44],[1,6,72],[1,7,49],[2,3,72],[2,4,28],[2,5,89],[2,6,69],[2,7,92],[3,4,42],[3,5,75],[3,6,12],[3,7,54],[4,5,83],[4,6,96],[4,7,63],[5,6,25],[5,7,93],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=12 Succeeded, w=12\",\"Add (3,6)=12 Succeeded, w=24\",\"Add (1,4)=20 Succeeded, w=44\",\"Add (6,7)=22 Succeeded, w=66\",\"Add (5,6)=25 Succeeded, w=91\",\"Add (0,1)=26 Succeeded, w=117\",\"Add (2,4)=28 Succeeded, w=145\",\"Add (0,3)=32 Failed, w=145\",\"Add (0,4)=38 Failed, w=145\",\"Add (3,4)=42 Failed, w=145\",\"Add (1,5)=44 Failed, w=145\",\"Add (1,7)=49 Failed, w=145\",\"Add (0,6)=50 Failed, w=145\",\"Add (3,7)=54 Failed, w=145\",\"Add (4,7)=63 Failed, w=145\",\"Add (2,6)=69 Failed, w=145\",\"Add (1,6)=72 Failed, w=145\",\"Add (2,3)=72 Failed, w=145\",\"Add (3,5)=75 Failed, w=145\",\"Add (4,5)=83 Failed, w=145\",\"Add (1,3)=84 Failed, w=145\",\"Add (2,5)=89 Failed, w=145\",\"Add (2,7)=92 Failed, w=145\",\"Add (5,7)=93 Failed, w=145\",\"Add (1,2)=95 Failed, w=145\",\"Add (4,6)=96 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,3,32],[0,4,38],[0,6,50],[0,7,12],[1,2,95],[1,3,84],[1,4,20],[1,5,44],[1,6,72],[1,7,49],[2,3,72],[2,4,28],[2,5,89],[2,6,69],[2,7,92],[3,4,42],[3,5,75],[3,6,12],[3,7,54],[4,5,83],[4,6,96],[4,7,63],[5,6,25],[5,7,93],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=12,(3,6)=12,(1,4)=20,(6,7)=22,(5,6)=25,(0,1)=26,(2,4)=28,(0,3)=32,(0,4)=38,(3,4)=42,(1,5)=44,(1,7)=49,(0,6)=50,(3,7)=54,(4,7)=63,(2,6)=69,(1,6)=72,(2,3)=72,(3,5)=75,(4,5)=83,(1,3)=84,(2,5)=89,(2,7)=92,(5,7)=93,(1,2)=95,(4,6)=96]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=12 Succeeded, w=12\",\"Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=24\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=44\",\"Find(6)=3, Find(7)=0, Add (6,7)=22 Succeeded, w=66\",\"Find(5)=5, Find(6)=3, Add (5,6)=25 Succeeded, w=91\",\"Find(0)=3, Find(1)=1, Add (0,1)=26 Succeeded, w=117\",\"Find(2)=2, Find(4)=3, Add (2,4)=28 Succeeded, w=145\",\"Find(0)=3, Find(3)=3, Add (0,3)=32 Failed, w=145\",\"Find(0)=3, Find(4)=3, Add (0,4)=38 Failed, w=145\",\"Find(3)=3, Find(4)=3, Add (3,4)=42 Failed, w=145\",\"Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=145\",\"Find(1)=3, Find(7)=3, Add (1,7)=49 Failed, w=145\",\"Find(0)=3, Find(6)=3, Add (0,6)=50 Failed, w=145\",\"Find(3)=3, Find(7)=3, Add (3,7)=54 Failed, w=145\",\"Find(4)=3, Find(7)=3, Add (4,7)=63 Failed, w=145\",\"Find(2)=3, Find(6)=3, Add (2,6)=69 Failed, w=145\",\"Find(1)=3, Find(6)=3, Add (1,6)=72 Failed, w=145\",\"Find(2)=3, Find(3)=3, Add (2,3)=72 Failed, w=145\",\"Find(3)=3, Find(5)=3, Add (3,5)=75 Failed, w=145\",\"Find(4)=3, Find(5)=3, Add (4,5)=83 Failed, w=145\",\"Find(1)=3, Find(3)=3, Add (1,3)=84 Failed, w=145\",\"Find(2)=3, Find(5)=3, Add (2,5)=89 Failed, w=145\",\"Find(2)=3, Find(7)=3, Add (2,7)=92 Failed, w=145\",\"Find(5)=3, Find(7)=3, Add (5,7)=93 Failed, w=145\",\"Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=145\",\"Find(4)=3, Find(6)=3, Add (4,6)=96 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,3,32],[0,4,38],[0,6,50],[0,7,12],[1,2,95],[1,3,84],[1,4,20],[1,5,44],[1,6,72],[1,7,49],[2,3,72],[2,4,28],[2,5,89],[2,6,69],[2,7,92],[3,4,42],[3,5,75],[3,6,12],[3,7,54],[4,5,83],[4,6,96],[4,7,63],[5,6,25],[5,7,93],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=12,(3,6)=12,(1,4)=20,(6,7)=22,(5,6)=25,(0,1)=26,(2,4)=28,(0,3)=32,(0,4)=38,(3,4)=42,(1,5)=44,(1,7)=49,(0,6)=50,(3,7)=54,(4,7)=63,(2,6)=69,(1,6)=72,(2,3)=72,(3,5)=75,(4,5)=83,(1,3)=84,(2,5)=89,(2,7)=92,(5,7)=93,(1,2)=95,(4,6)=96]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=44\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3, 7: 0}, Find(6)=3, Find(7)=0, Add (6,7)=22 Succeeded, w=66\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 0}, Find(5)=5, Find(6)=3, Add (5,6)=25 Succeeded, w=91\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(1)=1, Add (0,1)=26 Succeeded, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(2)=2, Find(4)=3, Add (2,4)=28 Succeeded, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(3)=3, Add (0,3)=32 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(4)=3, Add (0,4)=38 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(3)=3, Find(4)=3, Add (3,4)=42 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=145\",\"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)=49 Failed, w=145\",\"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)=50 Failed, w=145\",\"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)=54 Failed, w=145\",\"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)=63 Failed, w=145\",\"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)=69 Failed, w=145\",\"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)=72 Failed, w=145\",\"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)=72 Failed, w=145\",\"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)=75 Failed, w=145\",\"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)=83 Failed, w=145\",\"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)=84 Failed, w=145\",\"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)=89 Failed, w=145\",\"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)=92 Failed, w=145\",\"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)=93 Failed, w=145\",\"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)=95 Failed, w=145\",\"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)=96 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,39],[0,2,89],[0,3,83],[0,4,51],[0,5,74],[0,6,12],[0,7,27],[1,3,51],[1,4,30],[1,6,9],[1,7,97],[2,3,82],[2,4,71],[2,5,15],[2,7,56],[3,5,82],[3,6,8],[3,7,72],[4,5,85],[4,6,5],[4,7,3],[5,6,23],[5,7,40],[6,7,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,89],[0,3,83],[0,4,51],[0,5,74],[0,6,12],[0,7,27],[1,3,51],[1,4,30],[1,6,9],[1,7,97],[2,3,82],[2,4,71],[2,5,15],[2,7,56],[3,5,82],[3,6,8],[3,7,72],[4,5,85],[4,6,5],[4,7,3],[5,6,23],[5,7,40],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,89],[0,3,83],[0,4,51],[0,5,74],[0,6,12],[0,7,27],[1,3,51],[1,4,30],[1,6,9],[1,7,97],[2,3,82],[2,4,71],[2,5,15],[2,7,56],[3,5,82],[3,6,8],[3,7,72],[4,5,85],[4,6,5],[4,7,3],[5,6,23],[5,7,40],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (5,6)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,89],[0,3,83],[0,4,51],[0,5,74],[0,6,12],[0,7,27],[1,3,51],[1,4,30],[1,6,9],[1,7,97],[2,3,82],[2,4,71],[2,5,15],[2,7,56],[3,5,82],[3,6,8],[3,7,72],[4,5,85],[4,6,5],[4,7,3],[5,6,23],[5,7,40],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3, w=3\",\"Add (4,6)=5, w=8\",\"Add (3,6)=8, w=16\",\"Add (1,6)=9, w=25\",\"Add (0,6)=12, w=37\",\"Add (2,5)=15, w=52\",\"Add (5,6)=23, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,89],[0,3,83],[0,4,51],[0,5,74],[0,6,12],[0,7,27],[1,3,51],[1,4,30],[1,6,9],[1,7,97],[2,3,82],[2,4,71],[2,5,15],[2,7,56],[3,5,82],[3,6,8],[3,7,72],[4,5,85],[4,6,5],[4,7,3],[5,6,23],[5,7,40],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3 Succeeded, w=3\",\"Add (4,6)=5 Succeeded, w=8\",\"Add (3,6)=8 Succeeded, w=16\",\"Add (1,6)=9 Succeeded, w=25\",\"Add (0,6)=12 Succeeded, w=37\",\"Add (2,5)=15 Succeeded, w=52\",\"Add (5,6)=23 Succeeded, w=75\",\"Add (0,7)=27 Failed, w=75\",\"Add (1,4)=30 Failed, w=75\",\"Add (0,1)=39 Failed, w=75\",\"Add (5,7)=40 Failed, w=75\",\"Add (0,4)=51 Failed, w=75\",\"Add (1,3)=51 Failed, w=75\",\"Add (6,7)=51 Failed, w=75\",\"Add (2,7)=56 Failed, w=75\",\"Add (2,4)=71 Failed, w=75\",\"Add (3,7)=72 Failed, w=75\",\"Add (0,5)=74 Failed, w=75\",\"Add (2,3)=82 Failed, w=75\",\"Add (3,5)=82 Failed, w=75\",\"Add (0,3)=83 Failed, w=75\",\"Add (4,5)=85 Failed, w=75\",\"Add (0,2)=89 Failed, w=75\",\"Add (1,7)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,89],[0,3,83],[0,4,51],[0,5,74],[0,6,12],[0,7,27],[1,3,51],[1,4,30],[1,6,9],[1,7,97],[2,3,82],[2,4,71],[2,5,15],[2,7,56],[3,5,82],[3,6,8],[3,7,72],[4,5,85],[4,6,5],[4,7,3],[5,6,23],[5,7,40],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(4,6)=5,(3,6)=8,(1,6)=9,(0,6)=12,(2,5)=15,(5,6)=23,(0,7)=27,(1,4)=30,(0,1)=39,(5,7)=40,(0,4)=51,(1,3)=51,(6,7)=51,(2,7)=56,(2,4)=71,(3,7)=72,(0,5)=74,(2,3)=82,(3,5)=82,(0,3)=83,(4,5)=85,(0,2)=89,(1,7)=97]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Find(3)=3, Find(6)=4, Add (3,6)=8 Succeeded, w=16\",\"Find(1)=1, Find(6)=4, Add (1,6)=9 Succeeded, w=25\",\"Find(0)=0, Find(6)=4, Add (0,6)=12 Succeeded, w=37\",\"Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=52\",\"Find(5)=2, Find(6)=4, Add (5,6)=23 Succeeded, w=75\",\"Find(0)=2, Find(7)=2, Add (0,7)=27 Failed, w=75\",\"Find(1)=2, Find(4)=2, Add (1,4)=30 Failed, w=75\",\"Find(0)=2, Find(1)=2, Add (0,1)=39 Failed, w=75\",\"Find(5)=2, Find(7)=2, Add (5,7)=40 Failed, w=75\",\"Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=75\",\"Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=75\",\"Find(6)=2, Find(7)=2, Add (6,7)=51 Failed, w=75\",\"Find(2)=2, Find(7)=2, Add (2,7)=56 Failed, w=75\",\"Find(2)=2, Find(4)=2, Add (2,4)=71 Failed, w=75\",\"Find(3)=2, Find(7)=2, Add (3,7)=72 Failed, w=75\",\"Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=75\",\"Find(2)=2, Find(3)=2, Add (2,3)=82 Failed, w=75\",\"Find(3)=2, Find(5)=2, Add (3,5)=82 Failed, w=75\",\"Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=75\",\"Find(4)=2, Find(5)=2, Add (4,5)=85 Failed, w=75\",\"Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=75\",\"Find(1)=2, Find(7)=2, Add (1,7)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,89],[0,3,83],[0,4,51],[0,5,74],[0,6,12],[0,7,27],[1,3,51],[1,4,30],[1,6,9],[1,7,97],[2,3,82],[2,4,71],[2,5,15],[2,7,56],[3,5,82],[3,6,8],[3,7,72],[4,5,85],[4,6,5],[4,7,3],[5,6,23],[5,7,40],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(4,6)=5,(3,6)=8,(1,6)=9,(0,6)=12,(2,5)=15,(5,6)=23,(0,7)=27,(1,4)=30,(0,1)=39,(5,7)=40,(0,4)=51,(1,3)=51,(6,7)=51,(2,7)=56,(2,4)=71,(3,7)=72,(0,5)=74,(2,3)=82,(3,5)=82,(0,3)=83,(4,5)=85,(0,2)=89,(1,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 4}, Find(3)=3, Find(6)=4, Add (3,6)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 4}, Find(1)=1, Find(6)=4, Add (1,6)=9 Succeeded, w=25\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 4}, Find(0)=0, Find(6)=4, Add (0,6)=12 Succeeded, w=37\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4, 7: 4}, Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=52\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 2, 5: 2, 6: 4, 7: 4}, Find(5)=2, Find(6)=4, Add (5,6)=23 Succeeded, w=75\",\"Parent: {0: 2, 1: 4, 2: 2, 3: 4, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=27 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 4, 4: 2, 5: 2, 6: 4, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=30 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 4, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=39 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 4, 4: 2, 5: 2, 6: 4, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=40 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 4, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=75\",\"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)=51 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=56 Failed, w=75\",\"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)=71 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=72 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=82 Failed, w=75\",\"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)=82 Failed, w=75\",\"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)=83 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=85 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,16],[0,3,57],[0,5,16],[0,6,48],[1,2,72],[1,3,82],[1,4,57],[1,5,15],[2,3,3],[2,4,61],[2,5,22],[2,6,7],[3,4,6],[3,5,21],[3,6,97],[3,7,62],[4,6,5],[4,7,69],[5,6,19],[5,7,27],[6,7,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,3,57],[0,5,16],[0,6,48],[1,2,72],[1,3,82],[1,4,57],[1,5,15],[2,3,3],[2,4,61],[2,5,22],[2,6,7],[3,4,6],[3,5,21],[3,6,97],[3,7,62],[4,6,5],[4,7,69],[5,6,19],[5,7,27],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,3,57],[0,5,16],[0,6,48],[1,2,72],[1,3,82],[1,4,57],[1,5,15],[2,3,3],[2,4,61],[2,5,22],[2,6,7],[3,4,6],[3,5,21],[3,6,97],[3,7,62],[4,6,5],[4,7,69],[5,6,19],[5,7,27],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (5,7)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,3,57],[0,5,16],[0,6,48],[1,2,72],[1,3,82],[1,4,57],[1,5,15],[2,3,3],[2,4,61],[2,5,22],[2,6,7],[3,4,6],[3,5,21],[3,6,97],[3,7,62],[4,6,5],[4,7,69],[5,6,19],[5,7,27],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (4,6)=5, w=8\",\"Add (3,4)=6, w=14\",\"Add (1,5)=15, w=29\",\"Add (0,2)=16, w=45\",\"Add (0,5)=16, w=61\",\"Add (5,7)=27, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,3,57],[0,5,16],[0,6,48],[1,2,72],[1,3,82],[1,4,57],[1,5,15],[2,3,3],[2,4,61],[2,5,22],[2,6,7],[3,4,6],[3,5,21],[3,6,97],[3,7,62],[4,6,5],[4,7,69],[5,6,19],[5,7,27],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (4,6)=5 Succeeded, w=8\",\"Add (3,4)=6 Succeeded, w=14\",\"Add (2,6)=7 Failed, w=14\",\"Add (1,5)=15 Succeeded, w=29\",\"Add (0,2)=16 Succeeded, w=45\",\"Add (0,5)=16 Succeeded, w=61\",\"Add (5,6)=19 Failed, w=61\",\"Add (3,5)=21 Failed, w=61\",\"Add (2,5)=22 Failed, w=61\",\"Add (5,7)=27 Succeeded, w=88\",\"Add (0,6)=48 Failed, w=88\",\"Add (6,7)=56 Failed, w=88\",\"Add (0,3)=57 Failed, w=88\",\"Add (1,4)=57 Failed, w=88\",\"Add (2,4)=61 Failed, w=88\",\"Add (3,7)=62 Failed, w=88\",\"Add (4,7)=69 Failed, w=88\",\"Add (1,2)=72 Failed, w=88\",\"Add (1,3)=82 Failed, w=88\",\"Add (3,6)=97 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,3,57],[0,5,16],[0,6,48],[1,2,72],[1,3,82],[1,4,57],[1,5,15],[2,3,3],[2,4,61],[2,5,22],[2,6,7],[3,4,6],[3,5,21],[3,6,97],[3,7,62],[4,6,5],[4,7,69],[5,6,19],[5,7,27],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(4,6)=5,(3,4)=6,(2,6)=7,(1,5)=15,(0,2)=16,(0,5)=16,(5,6)=19,(3,5)=21,(2,5)=22,(5,7)=27,(0,6)=48,(6,7)=56,(0,3)=57,(1,4)=57,(2,4)=61,(3,7)=62,(4,7)=69,(1,2)=72,(1,3)=82,(3,6)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Find(3)=2, Find(4)=4, Add (3,4)=6 Succeeded, w=14\",\"Find(2)=2, Find(6)=2, Add (2,6)=7 Failed, w=14\",\"Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=29\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=45\",\"Find(0)=2, Find(5)=1, Add (0,5)=16 Succeeded, w=61\",\"Find(5)=2, Find(6)=2, Add (5,6)=19 Failed, w=61\",\"Find(3)=2, Find(5)=2, Add (3,5)=21 Failed, w=61\",\"Find(2)=2, Find(5)=2, Add (2,5)=22 Failed, w=61\",\"Find(5)=2, Find(7)=7, Add (5,7)=27 Succeeded, w=88\",\"Find(0)=2, Find(6)=2, Add (0,6)=48 Failed, w=88\",\"Find(6)=2, Find(7)=2, Add (6,7)=56 Failed, w=88\",\"Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=88\",\"Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=88\",\"Find(2)=2, Find(4)=2, Add (2,4)=61 Failed, w=88\",\"Find(3)=2, Find(7)=2, Add (3,7)=62 Failed, w=88\",\"Find(4)=2, Find(7)=2, Add (4,7)=69 Failed, w=88\",\"Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=88\",\"Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=88\",\"Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,3,57],[0,5,16],[0,6,48],[1,2,72],[1,3,82],[1,4,57],[1,5,15],[2,3,3],[2,4,61],[2,5,22],[2,6,7],[3,4,6],[3,5,21],[3,6,97],[3,7,62],[4,6,5],[4,7,69],[5,6,19],[5,7,27],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(4,6)=5,(3,4)=6,(2,6)=7,(1,5)=15,(0,2)=16,(0,5)=16,(5,6)=19,(3,5)=21,(2,5)=22,(5,7)=27,(0,6)=48,(6,7)=56,(0,3)=57,(1,4)=57,(2,4)=61,(3,7)=62,(4,7)=69,(1,2)=72,(1,3)=82,(3,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 4, 7: 7}, Find(3)=2, Find(4)=4, Add (3,4)=6 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=2, Add (2,6)=7 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 7}, Find(0)=2, Find(5)=1, Add (0,5)=16 Succeeded, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=2, Add (5,6)=19 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(3)=2, Find(5)=2, Add (3,5)=21 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(5)=2, Add (2,5)=22 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=27 Succeeded, w=88\",\"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)=48 Failed, w=88\",\"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)=56 Failed, w=88\",\"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)=57 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=88\",\"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)=61 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=62 Failed, w=88\",\"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)=69 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=88\",\"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)=82 Failed, w=88\",\"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)=97 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,4,63],[0,5,19],[1,2,61],[1,3,45],[1,5,39],[1,6,7],[2,3,83],[2,4,66],[2,5,82],[2,6,96],[3,4,73],[3,5,55],[3,6,26],[4,5,65],[4,6,89],[5,6,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,4,63],[0,5,19],[1,2,61],[1,3,45],[1,5,39],[1,6,7],[2,3,83],[2,4,66],[2,5,82],[2,6,96],[3,4,73],[3,5,55],[3,6,26],[4,5,65],[4,6,89],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,4,63],[0,5,19],[1,2,61],[1,3,45],[1,5,39],[1,6,7],[2,3,83],[2,4,66],[2,5,82],[2,6,96],[3,4,73],[3,5,55],[3,6,26],[4,5,65],[4,6,89],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,4,63],[0,5,19],[1,2,61],[1,3,45],[1,5,39],[1,6,7],[2,3,83],[2,4,66],[2,5,82],[2,6,96],[3,4,73],[3,5,55],[3,6,26],[4,5,65],[4,6,89],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=7, w=7\",\"Add (0,5)=19, w=26\",\"Add (0,1)=21, w=47\",\"Add (3,6)=26, w=73\",\"Add (1,2)=61, w=134\",\"Add (0,4)=63, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,4,63],[0,5,19],[1,2,61],[1,3,45],[1,5,39],[1,6,7],[2,3,83],[2,4,66],[2,5,82],[2,6,96],[3,4,73],[3,5,55],[3,6,26],[4,5,65],[4,6,89],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=7 Succeeded, w=7\",\"Add (0,5)=19 Succeeded, w=26\",\"Add (0,1)=21 Succeeded, w=47\",\"Add (3,6)=26 Succeeded, w=73\",\"Add (1,5)=39 Failed, w=73\",\"Add (1,3)=45 Failed, w=73\",\"Add (3,5)=55 Failed, w=73\",\"Add (1,2)=61 Succeeded, w=134\",\"Add (0,4)=63 Succeeded, w=197\",\"Add (4,5)=65 Failed, w=197\",\"Add (2,4)=66 Failed, w=197\",\"Add (3,4)=73 Failed, w=197\",\"Add (2,5)=82 Failed, w=197\",\"Add (2,3)=83 Failed, w=197\",\"Add (4,6)=89 Failed, w=197\",\"Add (2,6)=96 Failed, w=197\",\"Add (5,6)=97 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,4,63],[0,5,19],[1,2,61],[1,3,45],[1,5,39],[1,6,7],[2,3,83],[2,4,66],[2,5,82],[2,6,96],[3,4,73],[3,5,55],[3,6,26],[4,5,65],[4,6,89],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=7,(0,5)=19,(0,1)=21,(3,6)=26,(1,5)=39,(1,3)=45,(3,5)=55,(1,2)=61,(0,4)=63,(4,5)=65,(2,4)=66,(3,4)=73,(2,5)=82,(2,3)=83,(4,6)=89,(2,6)=96,(5,6)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=26\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=47\",\"Find(3)=3, Find(6)=0, Add (3,6)=26 Succeeded, w=73\",\"Find(1)=0, Find(5)=0, Add (1,5)=39 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=73\",\"Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=73\",\"Find(1)=0, Find(2)=2, Add (1,2)=61 Succeeded, w=134\",\"Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=197\",\"Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=197\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=197\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=197\",\"Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=197\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=197\",\"Find(4)=0, Find(6)=0, Add (4,6)=89 Failed, w=197\",\"Find(2)=0, Find(6)=0, Add (2,6)=96 Failed, w=197\",\"Find(5)=0, Find(6)=0, Add (5,6)=97 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,4,63],[0,5,19],[1,2,61],[1,3,45],[1,5,39],[1,6,7],[2,3,83],[2,4,66],[2,5,82],[2,6,96],[3,4,73],[3,5,55],[3,6,26],[4,5,65],[4,6,89],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=7,(0,5)=19,(0,1)=21,(3,6)=26,(1,5)=39,(1,3)=45,(3,5)=55,(1,2)=61,(0,4)=63,(4,5)=65,(2,4)=66,(3,4)=73,(2,5)=82,(2,3)=83,(4,6)=89,(2,6)=96,(5,6)=97]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=26 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=39 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(2)=2, Add (1,2)=61 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=89 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=96 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=97 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,7],[0,2,26],[0,3,65],[0,4,68],[1,2,7],[1,3,54],[1,4,81],[2,3,43],[2,4,6],[3,4,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,26],[0,3,65],[0,4,68],[1,2,7],[1,3,54],[1,4,81],[2,3,43],[2,4,6],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,26],[0,3,65],[0,4,68],[1,2,7],[1,3,54],[1,4,81],[2,3,43],[2,4,6],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,26],[0,3,65],[0,4,68],[1,2,7],[1,3,54],[1,4,81],[2,3,43],[2,4,6],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (0,1)=7, w=13\",\"Add (1,2)=7, w=20\",\"Add (2,3)=43, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,26],[0,3,65],[0,4,68],[1,2,7],[1,3,54],[1,4,81],[2,3,43],[2,4,6],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (0,1)=7 Succeeded, w=13\",\"Add (1,2)=7 Succeeded, w=20\",\"Add (0,2)=26 Failed, w=20\",\"Add (2,3)=43 Succeeded, w=63\",\"Add (1,3)=54 Failed, w=63\",\"Add (0,3)=65 Failed, w=63\",\"Add (0,4)=68 Failed, w=63\",\"Add (1,4)=81 Failed, w=63\",\"Add (3,4)=90 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,26],[0,3,65],[0,4,68],[1,2,7],[1,3,54],[1,4,81],[2,3,43],[2,4,6],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,1)=7,(1,2)=7,(0,2)=26,(2,3)=43,(1,3)=54,(0,3)=65,(0,4)=68,(1,4)=81,(3,4)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=13\",\"Find(1)=0, Find(2)=2, Add (1,2)=7 Succeeded, w=20\",\"Find(0)=0, Find(2)=0, Add (0,2)=26 Failed, w=20\",\"Find(2)=0, Find(3)=3, Add (2,3)=43 Succeeded, w=63\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=63\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=63\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=63\",\"Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,26],[0,3,65],[0,4,68],[1,2,7],[1,3,54],[1,4,81],[2,3,43],[2,4,6],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,1)=7,(1,2)=7,(0,2)=26,(2,3)=43,(1,3)=54,(0,3)=65,(0,4)=68,(1,4)=81,(3,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=7 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=26 Failed, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=3, Add (2,3)=43 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,55],[0,4,88],[0,5,3],[0,7,25],[1,2,50],[1,4,34],[1,6,98],[1,7,76],[2,4,18],[2,7,20],[3,4,0],[3,6,74],[3,7,78],[4,5,87],[4,7,53],[5,6,64],[5,7,18],[6,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,55],[0,4,88],[0,5,3],[0,7,25],[1,2,50],[1,4,34],[1,6,98],[1,7,76],[2,4,18],[2,7,20],[3,4,0],[3,6,74],[3,7,78],[4,5,87],[4,7,53],[5,6,64],[5,7,18],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,55],[0,4,88],[0,5,3],[0,7,25],[1,2,50],[1,4,34],[1,6,98],[1,7,76],[2,4,18],[2,7,20],[3,4,0],[3,6,74],[3,7,78],[4,5,87],[4,7,53],[5,6,64],[5,7,18],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (2,4)\",\"Add (5,7)\",\"Add (2,7)\",\"Add (1,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,55],[0,4,88],[0,5,3],[0,7,25],[1,2,50],[1,4,34],[1,6,98],[1,7,76],[2,4,18],[2,7,20],[3,4,0],[3,6,74],[3,7,78],[4,5,87],[4,7,53],[5,6,64],[5,7,18],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (0,5)=3, w=3\",\"Add (6,7)=4, w=7\",\"Add (2,4)=18, w=25\",\"Add (5,7)=18, w=43\",\"Add (2,7)=20, w=63\",\"Add (1,4)=34, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,55],[0,4,88],[0,5,3],[0,7,25],[1,2,50],[1,4,34],[1,6,98],[1,7,76],[2,4,18],[2,7,20],[3,4,0],[3,6,74],[3,7,78],[4,5,87],[4,7,53],[5,6,64],[5,7,18],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (0,5)=3 Succeeded, w=3\",\"Add (6,7)=4 Succeeded, w=7\",\"Add (2,4)=18 Succeeded, w=25\",\"Add (5,7)=18 Succeeded, w=43\",\"Add (2,7)=20 Succeeded, w=63\",\"Add (0,7)=25 Failed, w=63\",\"Add (1,4)=34 Succeeded, w=97\",\"Add (1,2)=50 Failed, w=97\",\"Add (4,7)=53 Failed, w=97\",\"Add (0,3)=55 Failed, w=97\",\"Add (5,6)=64 Failed, w=97\",\"Add (3,6)=74 Failed, w=97\",\"Add (1,7)=76 Failed, w=97\",\"Add (3,7)=78 Failed, w=97\",\"Add (4,5)=87 Failed, w=97\",\"Add (0,4)=88 Failed, w=97\",\"Add (1,6)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,55],[0,4,88],[0,5,3],[0,7,25],[1,2,50],[1,4,34],[1,6,98],[1,7,76],[2,4,18],[2,7,20],[3,4,0],[3,6,74],[3,7,78],[4,5,87],[4,7,53],[5,6,64],[5,7,18],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,5)=3,(6,7)=4,(2,4)=18,(5,7)=18,(2,7)=20,(0,7)=25,(1,4)=34,(1,2)=50,(4,7)=53,(0,3)=55,(5,6)=64,(3,6)=74,(1,7)=76,(3,7)=78,(4,5)=87,(0,4)=88,(1,6)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=7\",\"Find(2)=2, Find(4)=3, Add (2,4)=18 Succeeded, w=25\",\"Find(5)=0, Find(7)=6, Add (5,7)=18 Succeeded, w=43\",\"Find(2)=3, Find(7)=0, Add (2,7)=20 Succeeded, w=63\",\"Find(0)=0, Find(7)=0, Add (0,7)=25 Failed, w=63\",\"Find(1)=1, Find(4)=0, Add (1,4)=34 Succeeded, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=97\",\"Find(4)=0, Find(7)=0, Add (4,7)=53 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=97\",\"Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=97\",\"Find(3)=0, Find(6)=0, Add (3,6)=74 Failed, w=97\",\"Find(1)=0, Find(7)=0, Add (1,7)=76 Failed, w=97\",\"Find(3)=0, Find(7)=0, Add (3,7)=78 Failed, w=97\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=97\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=97\",\"Find(1)=0, Find(6)=0, Add (1,6)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,55],[0,4,88],[0,5,3],[0,7,25],[1,2,50],[1,4,34],[1,6,98],[1,7,76],[2,4,18],[2,7,20],[3,4,0],[3,6,74],[3,7,78],[4,5,87],[4,7,53],[5,6,64],[5,7,18],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,5)=3,(6,7)=4,(2,4)=18,(5,7)=18,(2,7)=20,(0,7)=25,(1,4)=34,(1,2)=50,(4,7)=53,(0,3)=55,(5,6)=64,(3,6)=74,(1,7)=76,(3,7)=78,(4,5)=87,(0,4)=88,(1,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 6, 7: 6}, Find(2)=2, Find(4)=3, Add (2,4)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 6}, Find(5)=0, Find(7)=6, Add (5,7)=18 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(2)=3, Find(7)=0, Add (2,7)=20 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=25 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(4)=0, Add (1,4)=34 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=97\",\"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)=53 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=74 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=76 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=78 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=97\",\"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)=88 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,47],[0,2,15],[0,3,14],[0,4,21],[1,2,88],[1,3,64],[1,4,49],[2,3,23],[2,4,39],[3,4,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,15],[0,3,14],[0,4,21],[1,2,88],[1,3,64],[1,4,49],[2,3,23],[2,4,39],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,15],[0,3,14],[0,4,21],[1,2,88],[1,3,64],[1,4,49],[2,3,23],[2,4,39],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,15],[0,3,14],[0,4,21],[1,2,88],[1,3,64],[1,4,49],[2,3,23],[2,4,39],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7, w=7\",\"Add (0,3)=14, w=21\",\"Add (0,2)=15, w=36\",\"Add (0,1)=47, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,15],[0,3,14],[0,4,21],[1,2,88],[1,3,64],[1,4,49],[2,3,23],[2,4,39],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7 Succeeded, w=7\",\"Add (0,3)=14 Succeeded, w=21\",\"Add (0,2)=15 Succeeded, w=36\",\"Add (0,4)=21 Failed, w=36\",\"Add (2,3)=23 Failed, w=36\",\"Add (2,4)=39 Failed, w=36\",\"Add (0,1)=47 Succeeded, w=83\",\"Add (1,4)=49 Failed, w=83\",\"Add (1,3)=64 Failed, w=83\",\"Add (1,2)=88 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,15],[0,3,14],[0,4,21],[1,2,88],[1,3,64],[1,4,49],[2,3,23],[2,4,39],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(0,3)=14,(0,2)=15,(0,4)=21,(2,3)=23,(2,4)=39,(0,1)=47,(1,4)=49,(1,3)=64,(1,2)=88]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=21\",\"Find(0)=3, Find(2)=2, Add (0,2)=15 Succeeded, w=36\",\"Find(0)=3, Find(4)=3, Add (0,4)=21 Failed, w=36\",\"Find(2)=3, Find(3)=3, Add (2,3)=23 Failed, w=36\",\"Find(2)=3, Find(4)=3, Add (2,4)=39 Failed, w=36\",\"Find(0)=3, Find(1)=1, Add (0,1)=47 Succeeded, w=83\",\"Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=83\",\"Find(1)=3, Find(3)=3, Add (1,3)=64 Failed, w=83\",\"Find(1)=3, Find(2)=3, Add (1,2)=88 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,15],[0,3,14],[0,4,21],[1,2,88],[1,3,64],[1,4,49],[2,3,23],[2,4,39],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(0,3)=14,(0,2)=15,(0,4)=21,(2,3)=23,(2,4)=39,(0,1)=47,(1,4)=49,(1,3)=64,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=21\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=2, Add (0,2)=15 Succeeded, w=36\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=21 Failed, w=36\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=23 Failed, w=36\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=39 Failed, w=36\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=47 Succeeded, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=64 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=88 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,96],[0,5,70],[1,3,90],[1,5,17],[2,3,37],[2,4,89],[2,5,95],[3,4,52],[3,5,58],[4,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,96],[0,5,70],[1,3,90],[1,5,17],[2,3,37],[2,4,89],[2,5,95],[3,4,52],[3,5,58],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,96],[0,5,70],[1,3,90],[1,5,17],[2,3,37],[2,4,89],[2,5,95],[3,4,52],[3,5,58],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (0,5)\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,96],[0,5,70],[1,3,90],[1,5,17],[2,3,37],[2,4,89],[2,5,95],[3,4,52],[3,5,58],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=17, w=17\",\"Add (2,3)=37, w=54\",\"Add (3,4)=52, w=106\",\"Add (3,5)=58, w=164\",\"Add (0,5)=70, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,96],[0,5,70],[1,3,90],[1,5,17],[2,3,37],[2,4,89],[2,5,95],[3,4,52],[3,5,58],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=17 Succeeded, w=17\",\"Add (2,3)=37 Succeeded, w=54\",\"Add (3,4)=52 Succeeded, w=106\",\"Add (3,5)=58 Succeeded, w=164\",\"Add (0,5)=70 Succeeded, w=234\",\"Add (4,5)=73 Failed, w=234\",\"Add (2,4)=89 Failed, w=234\",\"Add (1,3)=90 Failed, w=234\",\"Add (2,5)=95 Failed, w=234\",\"Add (0,4)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,96],[0,5,70],[1,3,90],[1,5,17],[2,3,37],[2,4,89],[2,5,95],[3,4,52],[3,5,58],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=17,(2,3)=37,(3,4)=52,(3,5)=58,(0,5)=70,(4,5)=73,(2,4)=89,(1,3)=90,(2,5)=95,(0,4)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=17\",\"Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=54\",\"Find(3)=2, Find(4)=4, Add (3,4)=52 Succeeded, w=106\",\"Find(3)=2, Find(5)=1, Add (3,5)=58 Succeeded, w=164\",\"Find(0)=0, Find(5)=2, Add (0,5)=70 Succeeded, w=234\",\"Find(4)=2, Find(5)=2, Add (4,5)=73 Failed, w=234\",\"Find(2)=2, Find(4)=2, Add (2,4)=89 Failed, w=234\",\"Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=234\",\"Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=234\",\"Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,96],[0,5,70],[1,3,90],[1,5,17],[2,3,37],[2,4,89],[2,5,95],[3,4,52],[3,5,58],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=17,(2,3)=37,(3,4)=52,(3,5)=58,(0,5)=70,(4,5)=73,(2,4)=89,(1,3)=90,(2,5)=95,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(4)=4, Add (3,4)=52 Succeeded, w=106\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(5)=1, Add (3,5)=58 Succeeded, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=70 Succeeded, w=234\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=73 Failed, w=234\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=89 Failed, w=234\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=234\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=234\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,68],[0,3,59],[0,4,76],[0,5,77],[1,2,68],[1,3,6],[1,4,13],[1,5,87],[2,3,30],[2,4,33],[2,5,83],[3,4,8],[3,5,26],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,68],[0,3,59],[0,4,76],[0,5,77],[1,2,68],[1,3,6],[1,4,13],[1,5,87],[2,3,30],[2,4,33],[2,5,83],[3,4,8],[3,5,26],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,68],[0,3,59],[0,4,76],[0,5,77],[1,2,68],[1,3,6],[1,4,13],[1,5,87],[2,3,30],[2,4,33],[2,5,83],[3,4,8],[3,5,26],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,68],[0,3,59],[0,4,76],[0,5,77],[1,2,68],[1,3,6],[1,4,13],[1,5,87],[2,3,30],[2,4,33],[2,5,83],[3,4,8],[3,5,26],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (3,4)=8, w=14\",\"Add (3,5)=26, w=40\",\"Add (2,3)=30, w=70\",\"Add (0,1)=49, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,68],[0,3,59],[0,4,76],[0,5,77],[1,2,68],[1,3,6],[1,4,13],[1,5,87],[2,3,30],[2,4,33],[2,5,83],[3,4,8],[3,5,26],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (3,4)=8 Succeeded, w=14\",\"Add (1,4)=13 Failed, w=14\",\"Add (3,5)=26 Succeeded, w=40\",\"Add (2,3)=30 Succeeded, w=70\",\"Add (4,5)=31 Failed, w=70\",\"Add (2,4)=33 Failed, w=70\",\"Add (0,1)=49 Succeeded, w=119\",\"Add (0,3)=59 Failed, w=119\",\"Add (0,2)=68 Failed, w=119\",\"Add (1,2)=68 Failed, w=119\",\"Add (0,4)=76 Failed, w=119\",\"Add (0,5)=77 Failed, w=119\",\"Add (2,5)=83 Failed, w=119\",\"Add (1,5)=87 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,68],[0,3,59],[0,4,76],[0,5,77],[1,2,68],[1,3,6],[1,4,13],[1,5,87],[2,3,30],[2,4,33],[2,5,83],[3,4,8],[3,5,26],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(3,4)=8,(1,4)=13,(3,5)=26,(2,3)=30,(4,5)=31,(2,4)=33,(0,1)=49,(0,3)=59,(0,2)=68,(1,2)=68,(0,4)=76,(0,5)=77,(2,5)=83,(1,5)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(3)=1, Find(4)=4, Add (3,4)=8 Succeeded, w=14\",\"Find(1)=1, Find(4)=1, Add (1,4)=13 Failed, w=14\",\"Find(3)=1, Find(5)=5, Add (3,5)=26 Succeeded, w=40\",\"Find(2)=2, Find(3)=1, Add (2,3)=30 Succeeded, w=70\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=70\",\"Find(2)=1, Find(4)=1, Add (2,4)=33 Failed, w=70\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=119\",\"Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=119\",\"Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=119\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=119\",\"Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=119\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=119\",\"Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=119\",\"Find(1)=1, Find(5)=1, Add (1,5)=87 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,68],[0,3,59],[0,4,76],[0,5,77],[1,2,68],[1,3,6],[1,4,13],[1,5,87],[2,3,30],[2,4,33],[2,5,83],[3,4,8],[3,5,26],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(3,4)=8,(1,4)=13,(3,5)=26,(2,3)=30,(4,5)=31,(2,4)=33,(0,1)=49,(0,3)=59,(0,2)=68,(1,2)=68,(0,4)=76,(0,5)=77,(2,5)=83,(1,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=1, Add (1,4)=13 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=26 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=30 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=33 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=87 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,12],[0,3,68],[1,3,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,12],[0,3,68],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,12],[0,3,68],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"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\":[[0,1,77],[0,2,12],[0,3,68],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (1,3)=63, w=75\",\"Add (0,3)=68, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,12],[0,3,68],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (1,3)=63 Succeeded, w=75\",\"Add (0,3)=68 Succeeded, w=143\",\"Add (0,1)=77 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,12],[0,3,68],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,3)=63,(0,3)=68,(0,1)=77]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=63 Succeeded, w=75\",\"Find(0)=0, Find(3)=1, Add (0,3)=68 Succeeded, w=143\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,12],[0,3,68],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,3)=63,(0,3)=68,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=63 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=68 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,63],[0,4,26],[0,5,98],[1,3,90],[1,5,99],[2,3,43],[2,4,46],[2,5,98],[3,4,61],[3,5,0],[4,5,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,63],[0,4,26],[0,5,98],[1,3,90],[1,5,99],[2,3,43],[2,4,46],[2,5,98],[3,4,61],[3,5,0],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,63],[0,4,26],[0,5,98],[1,3,90],[1,5,99],[2,3,43],[2,4,46],[2,5,98],[3,4,61],[3,5,0],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,63],[0,4,26],[0,5,98],[1,3,90],[1,5,99],[2,3,43],[2,4,46],[2,5,98],[3,4,61],[3,5,0],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (0,4)=26, w=26\",\"Add (2,3)=43, w=69\",\"Add (2,4)=46, w=115\",\"Add (1,3)=90, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,63],[0,4,26],[0,5,98],[1,3,90],[1,5,99],[2,3,43],[2,4,46],[2,5,98],[3,4,61],[3,5,0],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (0,4)=26 Succeeded, w=26\",\"Add (2,3)=43 Succeeded, w=69\",\"Add (2,4)=46 Succeeded, w=115\",\"Add (3,4)=61 Failed, w=115\",\"Add (0,2)=63 Failed, w=115\",\"Add (1,3)=90 Succeeded, w=205\",\"Add (4,5)=97 Failed, w=205\",\"Add (0,1)=98 Failed, w=205\",\"Add (0,5)=98 Failed, w=205\",\"Add (2,5)=98 Failed, w=205\",\"Add (1,5)=99 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,63],[0,4,26],[0,5,98],[1,3,90],[1,5,99],[2,3,43],[2,4,46],[2,5,98],[3,4,61],[3,5,0],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(0,4)=26,(2,3)=43,(2,4)=46,(3,4)=61,(0,2)=63,(1,3)=90,(4,5)=97,(0,1)=98,(0,5)=98,(2,5)=98,(1,5)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=43 Succeeded, w=69\",\"Find(2)=3, Find(4)=0, Add (2,4)=46 Succeeded, w=115\",\"Find(3)=3, Find(4)=3, Add (3,4)=61 Failed, w=115\",\"Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=115\",\"Find(1)=1, Find(3)=3, Add (1,3)=90 Succeeded, w=205\",\"Find(4)=3, Find(5)=3, Add (4,5)=97 Failed, w=205\",\"Find(0)=3, Find(1)=3, Add (0,1)=98 Failed, w=205\",\"Find(0)=3, Find(5)=3, Add (0,5)=98 Failed, w=205\",\"Find(2)=3, Find(5)=3, Add (2,5)=98 Failed, w=205\",\"Find(1)=3, Find(5)=3, Add (1,5)=99 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,63],[0,4,26],[0,5,98],[1,3,90],[1,5,99],[2,3,43],[2,4,46],[2,5,98],[3,4,61],[3,5,0],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(0,4)=26,(2,3)=43,(2,4)=46,(3,4)=61,(0,2)=63,(1,3)=90,(4,5)=97,(0,1)=98,(0,5)=98,(2,5)=98,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 0, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=43 Succeeded, w=69\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 0, 5: 3}, Find(2)=3, Find(4)=0, Add (2,4)=46 Succeeded, w=115\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=61 Failed, w=115\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=90 Succeeded, w=205\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=97 Failed, w=205\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=98 Failed, w=205\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=98 Failed, w=205\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=98 Failed, w=205\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=99 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,91],[1,2,50],[1,3,30],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,30],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,30],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,30],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (1,3)=30, w=40\",\"Add (0,2)=91, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,30],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (1,3)=30 Succeeded, w=40\",\"Add (1,2)=50 Failed, w=40\",\"Add (0,2)=91 Succeeded, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,30],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(1,3)=30,(1,2)=50,(0,2)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=2, Add (1,3)=30 Succeeded, w=40\",\"Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=40\",\"Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[1,2,50],[1,3,30],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(1,3)=30,(1,2)=50,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=30 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,2,93],[0,3,14],[0,4,98],[0,7,1],[1,2,45],[1,4,52],[1,5,24],[1,6,59],[1,7,88],[2,3,49],[2,4,73],[2,5,57],[2,6,70],[3,4,59],[3,6,3],[3,7,51],[4,5,10],[4,6,90],[4,7,15],[5,6,5],[5,7,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,93],[0,3,14],[0,4,98],[0,7,1],[1,2,45],[1,4,52],[1,5,24],[1,6,59],[1,7,88],[2,3,49],[2,4,73],[2,5,57],[2,6,70],[3,4,59],[3,6,3],[3,7,51],[4,5,10],[4,6,90],[4,7,15],[5,6,5],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,93],[0,3,14],[0,4,98],[0,7,1],[1,2,45],[1,4,52],[1,5,24],[1,6,59],[1,7,88],[2,3,49],[2,4,73],[2,5,57],[2,6,70],[3,4,59],[3,6,3],[3,7,51],[4,5,10],[4,6,90],[4,7,15],[5,6,5],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (1,2)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,93],[0,3,14],[0,4,98],[0,7,1],[1,2,45],[1,4,52],[1,5,24],[1,6,59],[1,7,88],[2,3,49],[2,4,73],[2,5,57],[2,6,70],[3,4,59],[3,6,3],[3,7,51],[4,5,10],[4,6,90],[4,7,15],[5,6,5],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1, w=1\",\"Add (3,6)=3, w=4\",\"Add (5,6)=5, w=9\",\"Add (4,5)=10, w=19\",\"Add (0,3)=14, w=33\",\"Add (1,5)=24, w=57\",\"Add (1,2)=45, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,93],[0,3,14],[0,4,98],[0,7,1],[1,2,45],[1,4,52],[1,5,24],[1,6,59],[1,7,88],[2,3,49],[2,4,73],[2,5,57],[2,6,70],[3,4,59],[3,6,3],[3,7,51],[4,5,10],[4,6,90],[4,7,15],[5,6,5],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1 Succeeded, w=1\",\"Add (3,6)=3 Succeeded, w=4\",\"Add (5,6)=5 Succeeded, w=9\",\"Add (4,5)=10 Succeeded, w=19\",\"Add (0,3)=14 Succeeded, w=33\",\"Add (4,7)=15 Failed, w=33\",\"Add (1,5)=24 Succeeded, w=57\",\"Add (0,1)=26 Failed, w=57\",\"Add (1,2)=45 Succeeded, w=102\",\"Add (2,3)=49 Failed, w=102\",\"Add (3,7)=51 Failed, w=102\",\"Add (1,4)=52 Failed, w=102\",\"Add (2,5)=57 Failed, w=102\",\"Add (1,6)=59 Failed, w=102\",\"Add (3,4)=59 Failed, w=102\",\"Add (2,6)=70 Failed, w=102\",\"Add (2,4)=73 Failed, w=102\",\"Add (1,7)=88 Failed, w=102\",\"Add (4,6)=90 Failed, w=102\",\"Add (0,2)=93 Failed, w=102\",\"Add (5,7)=95 Failed, w=102\",\"Add (0,4)=98 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,93],[0,3,14],[0,4,98],[0,7,1],[1,2,45],[1,4,52],[1,5,24],[1,6,59],[1,7,88],[2,3,49],[2,4,73],[2,5,57],[2,6,70],[3,4,59],[3,6,3],[3,7,51],[4,5,10],[4,6,90],[4,7,15],[5,6,5],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(3,6)=3,(5,6)=5,(4,5)=10,(0,3)=14,(4,7)=15,(1,5)=24,(0,1)=26,(1,2)=45,(2,3)=49,(3,7)=51,(1,4)=52,(2,5)=57,(1,6)=59,(3,4)=59,(2,6)=70,(2,4)=73,(1,7)=88,(4,6)=90,(0,2)=93,(5,7)=95,(0,4)=98]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=4\",\"Find(5)=5, Find(6)=3, Add (5,6)=5 Succeeded, w=9\",\"Find(4)=4, Find(5)=3, Add (4,5)=10 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=33\",\"Find(4)=0, Find(7)=0, Add (4,7)=15 Failed, w=33\",\"Find(1)=1, Find(5)=0, Add (1,5)=24 Succeeded, w=57\",\"Find(0)=0, Find(1)=0, Add (0,1)=26 Failed, w=57\",\"Find(1)=0, Find(2)=2, Add (1,2)=45 Succeeded, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=102\",\"Find(3)=0, Find(7)=0, Add (3,7)=51 Failed, w=102\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=102\",\"Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=102\",\"Find(1)=0, Find(6)=0, Add (1,6)=59 Failed, w=102\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=102\",\"Find(2)=0, Find(6)=0, Add (2,6)=70 Failed, w=102\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=102\",\"Find(1)=0, Find(7)=0, Add (1,7)=88 Failed, w=102\",\"Find(4)=0, Find(6)=0, Add (4,6)=90 Failed, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=102\",\"Find(5)=0, Find(7)=0, Add (5,7)=95 Failed, w=102\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,93],[0,3,14],[0,4,98],[0,7,1],[1,2,45],[1,4,52],[1,5,24],[1,6,59],[1,7,88],[2,3,49],[2,4,73],[2,5,57],[2,6,70],[3,4,59],[3,6,3],[3,7,51],[4,5,10],[4,6,90],[4,7,15],[5,6,5],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(3,6)=3,(5,6)=5,(4,5)=10,(0,3)=14,(4,7)=15,(1,5)=24,(0,1)=26,(1,2)=45,(2,3)=49,(3,7)=51,(1,4)=52,(2,5)=57,(1,6)=59,(3,4)=59,(2,6)=70,(2,4)=73,(1,7)=88,(4,6)=90,(0,2)=93,(5,7)=95,(0,4)=98]\",\"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: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(5)=5, Find(6)=3, Add (5,6)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(4)=4, Find(5)=3, Add (4,5)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 3, 5: 3, 6: 3, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 3, 6: 3, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=15 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=1, Find(5)=0, Add (1,5)=24 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=26 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=45 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=51 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=102\",\"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)=59 Failed, w=102\",\"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)=59 Failed, w=102\",\"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)=70 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=88 Failed, w=102\",\"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)=90 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=95 Failed, w=102\",\"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)=98 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,2,32],[0,3,95],[0,4,97],[0,5,8],[0,6,94],[0,7,92],[1,4,57],[1,6,94],[1,7,78],[2,5,53],[2,6,30],[3,5,13],[3,6,78],[3,7,1],[4,6,0],[5,6,60],[6,7,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,32],[0,3,95],[0,4,97],[0,5,8],[0,6,94],[0,7,92],[1,4,57],[1,6,94],[1,7,78],[2,5,53],[2,6,30],[3,5,13],[3,6,78],[3,7,1],[4,6,0],[5,6,60],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,32],[0,3,95],[0,4,97],[0,5,8],[0,6,94],[0,7,92],[1,4,57],[1,6,94],[1,7,78],[2,5,53],[2,6,30],[3,5,13],[3,6,78],[3,7,1],[4,6,0],[5,6,60],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,32],[0,3,95],[0,4,97],[0,5,8],[0,6,94],[0,7,92],[1,4,57],[1,6,94],[1,7,78],[2,5,53],[2,6,30],[3,5,13],[3,6,78],[3,7,1],[4,6,0],[5,6,60],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0, w=0\",\"Add (3,7)=1, w=1\",\"Add (0,5)=8, w=9\",\"Add (3,5)=13, w=22\",\"Add (2,6)=30, w=52\",\"Add (0,2)=32, w=84\",\"Add (0,1)=41, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,32],[0,3,95],[0,4,97],[0,5,8],[0,6,94],[0,7,92],[1,4,57],[1,6,94],[1,7,78],[2,5,53],[2,6,30],[3,5,13],[3,6,78],[3,7,1],[4,6,0],[5,6,60],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0 Succeeded, w=0\",\"Add (3,7)=1 Succeeded, w=1\",\"Add (0,5)=8 Succeeded, w=9\",\"Add (3,5)=13 Succeeded, w=22\",\"Add (2,6)=30 Succeeded, w=52\",\"Add (0,2)=32 Succeeded, w=84\",\"Add (0,1)=41 Succeeded, w=125\",\"Add (2,5)=53 Failed, w=125\",\"Add (1,4)=57 Failed, w=125\",\"Add (5,6)=60 Failed, w=125\",\"Add (1,7)=78 Failed, w=125\",\"Add (3,6)=78 Failed, w=125\",\"Add (0,7)=92 Failed, w=125\",\"Add (6,7)=93 Failed, w=125\",\"Add (0,6)=94 Failed, w=125\",\"Add (1,6)=94 Failed, w=125\",\"Add (0,3)=95 Failed, w=125\",\"Add (0,4)=97 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,32],[0,3,95],[0,4,97],[0,5,8],[0,6,94],[0,7,92],[1,4,57],[1,6,94],[1,7,78],[2,5,53],[2,6,30],[3,5,13],[3,6,78],[3,7,1],[4,6,0],[5,6,60],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(3,7)=1,(0,5)=8,(3,5)=13,(2,6)=30,(0,2)=32,(0,1)=41,(2,5)=53,(1,4)=57,(5,6)=60,(1,7)=78,(3,6)=78,(0,7)=92,(6,7)=93,(0,6)=94,(1,6)=94,(0,3)=95,(0,4)=97]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=9\",\"Find(3)=3, Find(5)=0, Add (3,5)=13 Succeeded, w=22\",\"Find(2)=2, Find(6)=4, Add (2,6)=30 Succeeded, w=52\",\"Find(0)=3, Find(2)=4, Add (0,2)=32 Succeeded, w=84\",\"Find(0)=3, Find(1)=1, Add (0,1)=41 Succeeded, w=125\",\"Find(2)=3, Find(5)=3, Add (2,5)=53 Failed, w=125\",\"Find(1)=3, Find(4)=3, Add (1,4)=57 Failed, w=125\",\"Find(5)=3, Find(6)=3, Add (5,6)=60 Failed, w=125\",\"Find(1)=3, Find(7)=3, Add (1,7)=78 Failed, w=125\",\"Find(3)=3, Find(6)=3, Add (3,6)=78 Failed, w=125\",\"Find(0)=3, Find(7)=3, Add (0,7)=92 Failed, w=125\",\"Find(6)=3, Find(7)=3, Add (6,7)=93 Failed, w=125\",\"Find(0)=3, Find(6)=3, Add (0,6)=94 Failed, w=125\",\"Find(1)=3, Find(6)=3, Add (1,6)=94 Failed, w=125\",\"Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=125\",\"Find(0)=3, Find(4)=3, Add (0,4)=97 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,32],[0,3,95],[0,4,97],[0,5,8],[0,6,94],[0,7,92],[1,4,57],[1,6,94],[1,7,78],[2,5,53],[2,6,30],[3,5,13],[3,6,78],[3,7,1],[4,6,0],[5,6,60],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(3,7)=1,(0,5)=8,(3,5)=13,(2,6)=30,(0,2)=32,(0,1)=41,(2,5)=53,(1,4)=57,(5,6)=60,(1,7)=78,(3,6)=78,(0,7)=92,(6,7)=93,(0,6)=94,(1,6)=94,(0,3)=95,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4, 7: 3}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=9\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4, 7: 3}, Find(3)=3, Find(5)=0, Add (3,5)=13 Succeeded, w=22\",\"Parent: {0: 3, 1: 1, 2: 4, 3: 3, 4: 4, 5: 0, 6: 4, 7: 3}, Find(2)=2, Find(6)=4, Add (2,6)=30 Succeeded, w=52\",\"Parent: {0: 3, 1: 1, 2: 4, 3: 3, 4: 3, 5: 0, 6: 4, 7: 3}, Find(0)=3, Find(2)=4, Add (0,2)=32 Succeeded, w=84\",\"Parent: {0: 3, 1: 3, 2: 4, 3: 3, 4: 3, 5: 0, 6: 4, 7: 3}, Find(0)=3, Find(1)=1, Add (0,1)=41 Succeeded, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=53 Failed, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=57 Failed, w=125\",\"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)=60 Failed, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=78 Failed, w=125\",\"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)=78 Failed, w=125\",\"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)=92 Failed, w=125\",\"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)=93 Failed, w=125\",\"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)=94 Failed, w=125\",\"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)=94 Failed, w=125\",\"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)=95 Failed, w=125\",\"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)=97 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,25],[0,2,71],[0,3,30],[0,6,6],[0,7,79],[1,2,95],[1,3,55],[1,6,100],[1,7,65],[2,6,64],[2,7,9],[3,6,34],[3,7,65],[4,5,42],[4,6,23],[4,7,89],[5,7,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,71],[0,3,30],[0,6,6],[0,7,79],[1,2,95],[1,3,55],[1,6,100],[1,7,65],[2,6,64],[2,7,9],[3,6,34],[3,7,65],[4,5,42],[4,6,23],[4,7,89],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,71],[0,3,30],[0,6,6],[0,7,79],[1,2,95],[1,3,55],[1,6,100],[1,7,65],[2,6,64],[2,7,9],[3,6,34],[3,7,65],[4,5,42],[4,6,23],[4,7,89],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,7)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (5,7)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,71],[0,3,30],[0,6,6],[0,7,79],[1,2,95],[1,3,55],[1,6,100],[1,7,65],[2,6,64],[2,7,9],[3,6,34],[3,7,65],[4,5,42],[4,6,23],[4,7,89],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6, w=6\",\"Add (2,7)=9, w=15\",\"Add (4,6)=23, w=38\",\"Add (0,1)=25, w=63\",\"Add (0,3)=30, w=93\",\"Add (4,5)=42, w=135\",\"Add (5,7)=43, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,71],[0,3,30],[0,6,6],[0,7,79],[1,2,95],[1,3,55],[1,6,100],[1,7,65],[2,6,64],[2,7,9],[3,6,34],[3,7,65],[4,5,42],[4,6,23],[4,7,89],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6 Succeeded, w=6\",\"Add (2,7)=9 Succeeded, w=15\",\"Add (4,6)=23 Succeeded, w=38\",\"Add (0,1)=25 Succeeded, w=63\",\"Add (0,3)=30 Succeeded, w=93\",\"Add (3,6)=34 Failed, w=93\",\"Add (4,5)=42 Succeeded, w=135\",\"Add (5,7)=43 Succeeded, w=178\",\"Add (1,3)=55 Failed, w=178\",\"Add (2,6)=64 Failed, w=178\",\"Add (1,7)=65 Failed, w=178\",\"Add (3,7)=65 Failed, w=178\",\"Add (0,2)=71 Failed, w=178\",\"Add (0,7)=79 Failed, w=178\",\"Add (4,7)=89 Failed, w=178\",\"Add (1,2)=95 Failed, w=178\",\"Add (1,6)=100 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,71],[0,3,30],[0,6,6],[0,7,79],[1,2,95],[1,3,55],[1,6,100],[1,7,65],[2,6,64],[2,7,9],[3,6,34],[3,7,65],[4,5,42],[4,6,23],[4,7,89],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(2,7)=9,(4,6)=23,(0,1)=25,(0,3)=30,(3,6)=34,(4,5)=42,(5,7)=43,(1,3)=55,(2,6)=64,(1,7)=65,(3,7)=65,(0,2)=71,(0,7)=79,(4,7)=89,(1,2)=95,(1,6)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Find(2)=2, Find(7)=7, Add (2,7)=9 Succeeded, w=15\",\"Find(4)=4, Find(6)=0, Add (4,6)=23 Succeeded, w=38\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=63\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=93\",\"Find(3)=0, Find(6)=0, Add (3,6)=34 Failed, w=93\",\"Find(4)=0, Find(5)=5, Add (4,5)=42 Succeeded, w=135\",\"Find(5)=0, Find(7)=2, Add (5,7)=43 Succeeded, w=178\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=178\",\"Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=178\",\"Find(1)=0, Find(7)=0, Add (1,7)=65 Failed, w=178\",\"Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=178\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=178\",\"Find(0)=0, Find(7)=0, Add (0,7)=79 Failed, w=178\",\"Find(4)=0, Find(7)=0, Add (4,7)=89 Failed, w=178\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=178\",\"Find(1)=0, Find(6)=0, Add (1,6)=100 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,71],[0,3,30],[0,6,6],[0,7,79],[1,2,95],[1,3,55],[1,6,100],[1,7,65],[2,6,64],[2,7,9],[3,6,34],[3,7,65],[4,5,42],[4,6,23],[4,7,89],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(2,7)=9,(4,6)=23,(0,1)=25,(0,3)=30,(3,6)=34,(4,5)=42,(5,7)=43,(1,3)=55,(2,6)=64,(1,7)=65,(3,7)=65,(0,2)=71,(0,7)=79,(4,7)=89,(1,2)=95,(1,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 2}, Find(4)=4, Find(6)=0, Add (4,6)=23 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=34 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(4)=0, Find(5)=5, Add (4,5)=42 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(5)=0, Find(7)=2, Add (5,7)=43 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=178\",\"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)=65 Failed, w=178\",\"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)=65 Failed, w=178\",\"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)=71 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=79 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=89 Failed, w=178\",\"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)=95 Failed, w=178\",\"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)=100 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,84],[0,3,44],[0,4,23],[1,2,43],[1,3,60],[2,4,46],[3,4,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,84],[0,3,44],[0,4,23],[1,2,43],[1,3,60],[2,4,46],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,84],[0,3,44],[0,4,23],[1,2,43],[1,3,60],[2,4,46],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,84],[0,3,44],[0,4,23],[1,2,43],[1,3,60],[2,4,46],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=23, w=23\",\"Add (3,4)=33, w=56\",\"Add (1,2)=43, w=99\",\"Add (2,4)=46, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,84],[0,3,44],[0,4,23],[1,2,43],[1,3,60],[2,4,46],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=23 Succeeded, w=23\",\"Add (3,4)=33 Succeeded, w=56\",\"Add (1,2)=43 Succeeded, w=99\",\"Add (0,3)=44 Failed, w=99\",\"Add (2,4)=46 Succeeded, w=145\",\"Add (1,3)=60 Failed, w=145\",\"Add (0,1)=80 Failed, w=145\",\"Add (0,2)=84 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,84],[0,3,44],[0,4,23],[1,2,43],[1,3,60],[2,4,46],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=23,(3,4)=33,(1,2)=43,(0,3)=44,(2,4)=46,(1,3)=60,(0,1)=80,(0,2)=84]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=23\",\"Find(3)=3, Find(4)=0, Add (3,4)=33 Succeeded, w=56\",\"Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=99\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=99\",\"Find(2)=1, Find(4)=0, Add (2,4)=46 Succeeded, w=145\",\"Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=145\",\"Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=145\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,84],[0,3,44],[0,4,23],[1,2,43],[1,3,60],[2,4,46],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=23,(3,4)=33,(1,2)=43,(0,3)=44,(2,4)=46,(1,3)=60,(0,1)=80,(0,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=33 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=99\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(2)=1, Find(4)=0, Add (2,4)=46 Succeeded, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,70],[0,4,92],[0,5,9],[1,3,11],[1,4,84],[1,5,45],[2,3,88],[2,4,41],[2,5,60],[3,5,35],[4,5,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,92],[0,5,9],[1,3,11],[1,4,84],[1,5,45],[2,3,88],[2,4,41],[2,5,60],[3,5,35],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,92],[0,5,9],[1,3,11],[1,4,84],[1,5,45],[2,3,88],[2,4,41],[2,5,60],[3,5,35],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (2,4)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,92],[0,5,9],[1,3,11],[1,4,84],[1,5,45],[2,3,88],[2,4,41],[2,5,60],[3,5,35],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (0,5)=9, w=11\",\"Add (1,3)=11, w=22\",\"Add (3,5)=35, w=57\",\"Add (2,4)=41, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,92],[0,5,9],[1,3,11],[1,4,84],[1,5,45],[2,3,88],[2,4,41],[2,5,60],[3,5,35],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (0,5)=9 Succeeded, w=11\",\"Add (1,3)=11 Succeeded, w=22\",\"Add (3,5)=35 Succeeded, w=57\",\"Add (2,4)=41 Succeeded, w=98\",\"Add (1,5)=45 Failed, w=98\",\"Add (2,5)=60 Failed, w=98\",\"Add (0,3)=70 Failed, w=98\",\"Add (1,4)=84 Failed, w=98\",\"Add (2,3)=88 Failed, w=98\",\"Add (0,4)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,92],[0,5,9],[1,3,11],[1,4,84],[1,5,45],[2,3,88],[2,4,41],[2,5,60],[3,5,35],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(0,5)=9,(1,3)=11,(3,5)=35,(2,4)=41,(1,5)=45,(2,5)=60,(0,3)=70,(1,4)=84,(2,3)=88,(0,4)=92]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=4, Add (0,5)=9 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=22\",\"Find(3)=1, Find(5)=4, Add (3,5)=35 Succeeded, w=57\",\"Find(2)=2, Find(4)=1, Add (2,4)=41 Succeeded, w=98\",\"Find(1)=1, Find(5)=1, Add (1,5)=45 Failed, w=98\",\"Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=98\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=98\",\"Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=98\",\"Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=98\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,92],[0,5,9],[1,3,11],[1,4,84],[1,5,45],[2,3,88],[2,4,41],[2,5,60],[3,5,35],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(0,5)=9,(1,3)=11,(3,5)=35,(2,4)=41,(1,5)=45,(2,5)=60,(0,3)=70,(1,4)=84,(2,3)=88,(0,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=9 Succeeded, w=11\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=22\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4}, Find(3)=1, Find(5)=4, Add (3,5)=35 Succeeded, w=57\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=2, Find(4)=1, Add (2,4)=41 Succeeded, w=98\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=45 Failed, w=98\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,13],[0,3,63],[1,2,53],[1,3,46],[2,3,11],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,63],[1,2,53],[1,3,46],[2,3,11],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,63],[1,2,53],[1,3,46],[2,3,11],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,63],[1,2,53],[1,3,46],[2,3,11],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (0,2)=13, w=24\",\"Add (3,4)=27, w=51\",\"Add (1,3)=46, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,63],[1,2,53],[1,3,46],[2,3,11],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (0,2)=13 Succeeded, w=24\",\"Add (3,4)=27 Succeeded, w=51\",\"Add (1,3)=46 Succeeded, w=97\",\"Add (1,2)=53 Failed, w=97\",\"Add (0,3)=63 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,63],[1,2,53],[1,3,46],[2,3,11],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,2)=13,(3,4)=27,(1,3)=46,(1,2)=53,(0,3)=63]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=24\",\"Find(3)=2, Find(4)=4, Add (3,4)=27 Succeeded, w=51\",\"Find(1)=1, Find(3)=2, Add (1,3)=46 Succeeded, w=97\",\"Find(1)=2, Find(2)=2, Add (1,2)=53 Failed, w=97\",\"Find(0)=2, Find(3)=2, Add (0,3)=63 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,13],[0,3,63],[1,2,53],[1,3,46],[2,3,11],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,2)=13,(3,4)=27,(1,3)=46,(1,2)=53,(0,3)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=27 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=46 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=53 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=63 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,25],[0,3,97],[0,4,16],[2,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,97],[0,4,16],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,97],[0,4,16],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,97],[0,4,16],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,4)=16, w=17\",\"Add (0,3)=97, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,97],[0,4,16],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,4)=16 Succeeded, w=17\",\"Add (0,2)=25 Failed, w=17\",\"Add (0,3)=97 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,97],[0,4,16],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,4)=16,(0,2)=25,(0,3)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=2, Add (0,4)=16 Succeeded, w=17\",\"Find(0)=2, Find(2)=2, Add (0,2)=25 Failed, w=17\",\"Find(0)=2, Find(3)=3, Add (0,3)=97 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,97],[0,4,16],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,4)=16,(0,2)=25,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=16 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=25 Failed, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=97 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,61],[0,2,60],[0,3,92],[1,2,51],[2,3,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,60],[0,3,92],[1,2,51],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,60],[0,3,92],[1,2,51],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,60],[0,3,92],[1,2,51],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (1,2)=51, w=64\",\"Add (0,2)=60, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,60],[0,3,92],[1,2,51],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (1,2)=51 Succeeded, w=64\",\"Add (0,2)=60 Succeeded, w=124\",\"Add (0,1)=61 Failed, w=124\",\"Add (0,3)=92 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,60],[0,3,92],[1,2,51],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,2)=51,(0,2)=60,(0,1)=61,(0,3)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=64\",\"Find(0)=0, Find(2)=2, Add (0,2)=60 Succeeded, w=124\",\"Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=124\",\"Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,60],[0,3,92],[1,2,51],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,2)=51,(0,2)=60,(0,1)=61,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=60 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,17],[0,3,77],[0,4,16],[1,2,15],[1,3,16],[1,4,95],[1,5,36],[2,5,22],[3,4,94],[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],[0,2,17],[0,3,77],[0,4,16],[1,2,15],[1,3,16],[1,4,95],[1,5,36],[2,5,22],[3,4,94],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,17],[0,3,77],[0,4,16],[1,2,15],[1,3,16],[1,4,95],[1,5,36],[2,5,22],[3,4,94],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,17],[0,3,77],[0,4,16],[1,2,15],[1,3,16],[1,4,95],[1,5,36],[2,5,22],[3,4,94],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (3,5)=15, w=30\",\"Add (0,4)=16, w=46\",\"Add (1,3)=16, w=62\",\"Add (0,2)=17, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,17],[0,3,77],[0,4,16],[1,2,15],[1,3,16],[1,4,95],[1,5,36],[2,5,22],[3,4,94],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (3,5)=15 Succeeded, w=30\",\"Add (0,4)=16 Succeeded, w=46\",\"Add (1,3)=16 Succeeded, w=62\",\"Add (0,2)=17 Succeeded, w=79\",\"Add (2,5)=22 Failed, w=79\",\"Add (1,5)=36 Failed, w=79\",\"Add (0,1)=41 Failed, w=79\",\"Add (0,3)=77 Failed, w=79\",\"Add (3,4)=94 Failed, w=79\",\"Add (1,4)=95 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,17],[0,3,77],[0,4,16],[1,2,15],[1,3,16],[1,4,95],[1,5,36],[2,5,22],[3,4,94],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(3,5)=15,(0,4)=16,(1,3)=16,(0,2)=17,(2,5)=22,(1,5)=36,(0,1)=41,(0,3)=77,(3,4)=94,(1,4)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=30\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=46\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=62\",\"Find(0)=0, Find(2)=1, Add (0,2)=17 Succeeded, w=79\",\"Find(2)=1, Find(5)=1, Add (2,5)=22 Failed, w=79\",\"Find(1)=1, Find(5)=1, Add (1,5)=36 Failed, w=79\",\"Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=79\",\"Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=79\",\"Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=79\",\"Find(1)=1, Find(4)=1, Add (1,4)=95 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,17],[0,3,77],[0,4,16],[1,2,15],[1,3,16],[1,4,95],[1,5,36],[2,5,22],[3,4,94],[3,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(3,5)=15,(0,4)=16,(1,3)=16,(0,2)=17,(2,5)=22,(1,5)=36,(0,1)=41,(0,3)=77,(3,4)=94,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3}, Find(0)=0, Find(2)=1, Add (0,2)=17 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=22 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=36 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=95 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,95],[0,2,81],[1,2,89],[1,3,2],[2,3,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,81],[1,2,89],[1,3,2],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,81],[1,2,89],[1,3,2],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,81],[1,2,89],[1,3,2],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,3)=54, w=56\",\"Add (0,2)=81, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,81],[1,2,89],[1,3,2],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=54 Succeeded, w=56\",\"Add (0,2)=81 Succeeded, w=137\",\"Add (1,2)=89 Failed, w=137\",\"Add (0,1)=95 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,81],[1,2,89],[1,3,2],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=54,(0,2)=81,(1,2)=89,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=54 Succeeded, w=56\",\"Find(0)=0, Find(2)=1, Add (0,2)=81 Succeeded, w=137\",\"Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=137\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,81],[1,2,89],[1,3,2],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=54,(0,2)=81,(1,2)=89,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=54 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=81 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,62],[0,2,29],[0,3,68],[0,4,42],[0,5,8],[0,6,98],[0,7,68],[1,2,0],[1,3,82],[1,7,25],[2,3,84],[2,5,73],[2,7,26],[3,4,22],[3,7,100],[4,5,41],[4,6,3],[4,7,35],[6,7,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,29],[0,3,68],[0,4,42],[0,5,8],[0,6,98],[0,7,68],[1,2,0],[1,3,82],[1,7,25],[2,3,84],[2,5,73],[2,7,26],[3,4,22],[3,7,100],[4,5,41],[4,6,3],[4,7,35],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,29],[0,3,68],[0,4,42],[0,5,8],[0,6,98],[0,7,68],[1,2,0],[1,3,82],[1,7,25],[2,3,84],[2,5,73],[2,7,26],[3,4,22],[3,7,100],[4,5,41],[4,6,3],[4,7,35],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (1,7)\",\"Add (0,2)\",\"Add (4,7)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,29],[0,3,68],[0,4,42],[0,5,8],[0,6,98],[0,7,68],[1,2,0],[1,3,82],[1,7,25],[2,3,84],[2,5,73],[2,7,26],[3,4,22],[3,7,100],[4,5,41],[4,6,3],[4,7,35],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (4,6)=3, w=3\",\"Add (0,5)=8, w=11\",\"Add (3,4)=22, w=33\",\"Add (1,7)=25, w=58\",\"Add (0,2)=29, w=87\",\"Add (4,7)=35, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,29],[0,3,68],[0,4,42],[0,5,8],[0,6,98],[0,7,68],[1,2,0],[1,3,82],[1,7,25],[2,3,84],[2,5,73],[2,7,26],[3,4,22],[3,7,100],[4,5,41],[4,6,3],[4,7,35],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (4,6)=3 Succeeded, w=3\",\"Add (0,5)=8 Succeeded, w=11\",\"Add (3,4)=22 Succeeded, w=33\",\"Add (1,7)=25 Succeeded, w=58\",\"Add (2,7)=26 Failed, w=58\",\"Add (0,2)=29 Succeeded, w=87\",\"Add (4,7)=35 Succeeded, w=122\",\"Add (4,5)=41 Failed, w=122\",\"Add (0,4)=42 Failed, w=122\",\"Add (0,1)=62 Failed, w=122\",\"Add (0,3)=68 Failed, w=122\",\"Add (0,7)=68 Failed, w=122\",\"Add (6,7)=70 Failed, w=122\",\"Add (2,5)=73 Failed, w=122\",\"Add (1,3)=82 Failed, w=122\",\"Add (2,3)=84 Failed, w=122\",\"Add (0,6)=98 Failed, w=122\",\"Add (3,7)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,29],[0,3,68],[0,4,42],[0,5,8],[0,6,98],[0,7,68],[1,2,0],[1,3,82],[1,7,25],[2,3,84],[2,5,73],[2,7,26],[3,4,22],[3,7,100],[4,5,41],[4,6,3],[4,7,35],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(4,6)=3,(0,5)=8,(3,4)=22,(1,7)=25,(2,7)=26,(0,2)=29,(4,7)=35,(4,5)=41,(0,4)=42,(0,1)=62,(0,3)=68,(0,7)=68,(6,7)=70,(2,5)=73,(1,3)=82,(2,3)=84,(0,6)=98,(3,7)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=33\",\"Find(1)=1, Find(7)=7, Add (1,7)=25 Succeeded, w=58\",\"Find(2)=1, Find(7)=1, Add (2,7)=26 Failed, w=58\",\"Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=87\",\"Find(4)=4, Find(7)=0, Add (4,7)=35 Succeeded, w=122\",\"Find(4)=0, Find(5)=0, Add (4,5)=41 Failed, w=122\",\"Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=122\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=122\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=122\",\"Find(0)=0, Find(7)=0, Add (0,7)=68 Failed, w=122\",\"Find(6)=0, Find(7)=0, Add (6,7)=70 Failed, w=122\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=122\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=122\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=122\",\"Find(0)=0, Find(6)=0, Add (0,6)=98 Failed, w=122\",\"Find(3)=0, Find(7)=0, Add (3,7)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,29],[0,3,68],[0,4,42],[0,5,8],[0,6,98],[0,7,68],[1,2,0],[1,3,82],[1,7,25],[2,3,84],[2,5,73],[2,7,26],[3,4,22],[3,7,100],[4,5,41],[4,6,3],[4,7,35],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(4,6)=3,(0,5)=8,(3,4)=22,(1,7)=25,(2,7)=26,(0,2)=29,(4,7)=35,(4,5)=41,(0,4)=42,(0,1)=62,(0,3)=68,(0,7)=68,(6,7)=70,(2,5)=73,(1,3)=82,(2,3)=84,(0,6)=98,(3,7)=100]\",\"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: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 4, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 4, 5: 0, 6: 4, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 4, 5: 0, 6: 4, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=25 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 4, 5: 0, 6: 4, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=26 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 4, 4: 4, 5: 0, 6: 4, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 4, 4: 0, 5: 0, 6: 4, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=35 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 4, 4: 0, 5: 0, 6: 4, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=41 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 4, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 4, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=68 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=70 Failed, w=122\",\"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=122\",\"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)=82 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=122\",\"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)=98 Failed, w=122\",\"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)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,84],[0,2,12],[0,3,16],[0,4,59],[1,2,63],[1,3,98],[1,4,73],[2,3,23],[2,4,44],[3,4,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,16],[0,4,59],[1,2,63],[1,3,98],[1,4,73],[2,3,23],[2,4,44],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,16],[0,4,59],[1,2,63],[1,3,98],[1,4,73],[2,3,23],[2,4,44],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,16],[0,4,59],[1,2,63],[1,3,98],[1,4,73],[2,3,23],[2,4,44],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (0,3)=16, w=28\",\"Add (2,4)=44, w=72\",\"Add (1,2)=63, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,16],[0,4,59],[1,2,63],[1,3,98],[1,4,73],[2,3,23],[2,4,44],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (0,3)=16 Succeeded, w=28\",\"Add (2,3)=23 Failed, w=28\",\"Add (2,4)=44 Succeeded, w=72\",\"Add (0,4)=59 Failed, w=72\",\"Add (1,2)=63 Succeeded, w=135\",\"Add (3,4)=72 Failed, w=135\",\"Add (1,4)=73 Failed, w=135\",\"Add (0,1)=84 Failed, w=135\",\"Add (1,3)=98 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,16],[0,4,59],[1,2,63],[1,3,98],[1,4,73],[2,3,23],[2,4,44],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(0,3)=16,(2,3)=23,(2,4)=44,(0,4)=59,(1,2)=63,(3,4)=72,(1,4)=73,(0,1)=84,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=28\",\"Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=28\",\"Find(2)=0, Find(4)=4, Add (2,4)=44 Succeeded, w=72\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=72\",\"Find(1)=1, Find(2)=0, Add (1,2)=63 Succeeded, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=135\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=135\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,16],[0,4,59],[1,2,63],[1,3,98],[1,4,73],[2,3,23],[2,4,44],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(0,3)=16,(2,3)=23,(2,4)=44,(0,4)=59,(1,2)=63,(3,4)=72,(1,4)=73,(0,1)=84,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=44 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=63 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,71],[0,3,66],[0,4,5],[1,2,84],[1,3,78],[1,5,55],[2,3,8],[3,4,24],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,71],[0,3,66],[0,4,5],[1,2,84],[1,3,78],[1,5,55],[2,3,8],[3,4,24],[4,5,31]]}",
"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\":[[0,2,71],[0,3,66],[0,4,5],[1,2,84],[1,3,78],[1,5,55],[2,3,8],[3,4,24],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (1,5)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,71],[0,3,66],[0,4,5],[1,2,84],[1,3,78],[1,5,55],[2,3,8],[3,4,24],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (2,3)=8, w=13\",\"Add (3,4)=24, w=37\",\"Add (4,5)=31, w=68\",\"Add (1,5)=55, 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\":[[0,2,71],[0,3,66],[0,4,5],[1,2,84],[1,3,78],[1,5,55],[2,3,8],[3,4,24],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (2,3)=8 Succeeded, w=13\",\"Add (3,4)=24 Succeeded, w=37\",\"Add (4,5)=31 Succeeded, w=68\",\"Add (1,5)=55 Succeeded, w=123\",\"Add (0,3)=66 Failed, w=123\",\"Add (0,2)=71 Failed, w=123\",\"Add (1,3)=78 Failed, w=123\",\"Add (1,2)=84 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\":[[0,2,71],[0,3,66],[0,4,5],[1,2,84],[1,3,78],[1,5,55],[2,3,8],[3,4,24],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(2,3)=8,(3,4)=24,(4,5)=31,(1,5)=55,(0,3)=66,(0,2)=71,(1,3)=78,(1,2)=84]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=13\",\"Find(3)=2, Find(4)=0, Add (3,4)=24 Succeeded, w=37\",\"Find(4)=2, Find(5)=5, Add (4,5)=31 Succeeded, w=68\",\"Find(1)=1, Find(5)=2, Add (1,5)=55 Succeeded, w=123\",\"Find(0)=2, Find(3)=2, Add (0,3)=66 Failed, w=123\",\"Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=123\",\"Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=123\",\"Find(1)=2, Find(2)=2, Add (1,2)=84 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\":[[0,2,71],[0,3,66],[0,4,5],[1,2,84],[1,3,78],[1,5,55],[2,3,8],[3,4,24],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(2,3)=8,(3,4)=24,(4,5)=31,(1,5)=55,(0,3)=66,(0,2)=71,(1,3)=78,(1,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(3)=2, Find(4)=0, Add (3,4)=24 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=31 Succeeded, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=55 Succeeded, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=66 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,70],[0,2,92],[0,4,1],[0,5,8],[0,6,67],[1,2,2],[1,3,10],[1,4,82],[1,5,20],[1,6,90],[2,3,14],[2,4,94],[2,5,61],[2,6,12],[3,4,3],[3,6,88],[4,5,38],[5,6,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,92],[0,4,1],[0,5,8],[0,6,67],[1,2,2],[1,3,10],[1,4,82],[1,5,20],[1,6,90],[2,3,14],[2,4,94],[2,5,61],[2,6,12],[3,4,3],[3,6,88],[4,5,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,92],[0,4,1],[0,5,8],[0,6,67],[1,2,2],[1,3,10],[1,4,82],[1,5,20],[1,6,90],[2,3,14],[2,4,94],[2,5,61],[2,6,12],[3,4,3],[3,6,88],[4,5,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,6)\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,92],[0,4,1],[0,5,8],[0,6,67],[1,2,2],[1,3,10],[1,4,82],[1,5,20],[1,6,90],[2,3,14],[2,4,94],[2,5,61],[2,6,12],[3,4,3],[3,6,88],[4,5,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (1,2)=2, w=3\",\"Add (3,4)=3, w=6\",\"Add (0,5)=8, w=14\",\"Add (1,3)=10, w=24\",\"Add (2,6)=12, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,92],[0,4,1],[0,5,8],[0,6,67],[1,2,2],[1,3,10],[1,4,82],[1,5,20],[1,6,90],[2,3,14],[2,4,94],[2,5,61],[2,6,12],[3,4,3],[3,6,88],[4,5,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (1,2)=2 Succeeded, w=3\",\"Add (3,4)=3 Succeeded, w=6\",\"Add (0,5)=8 Succeeded, w=14\",\"Add (1,3)=10 Succeeded, w=24\",\"Add (2,6)=12 Succeeded, w=36\",\"Add (2,3)=14 Failed, w=36\",\"Add (1,5)=20 Failed, w=36\",\"Add (4,5)=38 Failed, w=36\",\"Add (2,5)=61 Failed, w=36\",\"Add (0,6)=67 Failed, w=36\",\"Add (0,1)=70 Failed, w=36\",\"Add (1,4)=82 Failed, w=36\",\"Add (3,6)=88 Failed, w=36\",\"Add (1,6)=90 Failed, w=36\",\"Add (0,2)=92 Failed, w=36\",\"Add (2,4)=94 Failed, w=36\",\"Add (5,6)=97 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,92],[0,4,1],[0,5,8],[0,6,67],[1,2,2],[1,3,10],[1,4,82],[1,5,20],[1,6,90],[2,3,14],[2,4,94],[2,5,61],[2,6,12],[3,4,3],[3,6,88],[4,5,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,2)=2,(3,4)=3,(0,5)=8,(1,3)=10,(2,6)=12,(2,3)=14,(1,5)=20,(4,5)=38,(2,5)=61,(0,6)=67,(0,1)=70,(1,4)=82,(3,6)=88,(1,6)=90,(0,2)=92,(2,4)=94,(5,6)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=3\",\"Find(3)=3, Find(4)=0, Add (3,4)=3 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=14\",\"Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=24\",\"Find(2)=1, Find(6)=6, Add (2,6)=12 Succeeded, w=36\",\"Find(2)=1, Find(3)=1, Add (2,3)=14 Failed, w=36\",\"Find(1)=1, Find(5)=1, Add (1,5)=20 Failed, w=36\",\"Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=36\",\"Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=36\",\"Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=36\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=36\",\"Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=36\",\"Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=36\",\"Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=36\",\"Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=36\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=36\",\"Find(5)=1, Find(6)=1, Add (5,6)=97 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,92],[0,4,1],[0,5,8],[0,6,67],[1,2,2],[1,3,10],[1,4,82],[1,5,20],[1,6,90],[2,3,14],[2,4,94],[2,5,61],[2,6,12],[3,4,3],[3,6,88],[4,5,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,2)=2,(3,4)=3,(0,5)=8,(1,3)=10,(2,6)=12,(2,3)=14,(1,5)=20,(4,5)=38,(2,5)=61,(0,6)=67,(0,1)=70,(1,4)=82,(3,6)=88,(1,6)=90,(0,2)=92,(2,4)=94,(5,6)=97]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=12 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=14 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=20 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=36\",\"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=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=97 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,79],[0,2,25],[0,3,71],[0,4,35],[0,5,99],[0,6,92],[0,7,79],[1,2,100],[1,3,12],[1,4,45],[1,5,44],[1,6,57],[1,7,59],[2,3,64],[2,4,69],[2,5,62],[2,6,47],[2,7,52],[3,5,50],[3,6,10],[3,7,99],[4,5,88],[4,6,5],[4,7,30],[5,6,97],[5,7,66],[6,7,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,25],[0,3,71],[0,4,35],[0,5,99],[0,6,92],[0,7,79],[1,2,100],[1,3,12],[1,4,45],[1,5,44],[1,6,57],[1,7,59],[2,3,64],[2,4,69],[2,5,62],[2,6,47],[2,7,52],[3,5,50],[3,6,10],[3,7,99],[4,5,88],[4,6,5],[4,7,30],[5,6,97],[5,7,66],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,25],[0,3,71],[0,4,35],[0,5,99],[0,6,92],[0,7,79],[1,2,100],[1,3,12],[1,4,45],[1,5,44],[1,6,57],[1,7,59],[2,3,64],[2,4,69],[2,5,62],[2,6,47],[2,7,52],[3,5,50],[3,6,10],[3,7,99],[4,5,88],[4,6,5],[4,7,30],[5,6,97],[5,7,66],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,25],[0,3,71],[0,4,35],[0,5,99],[0,6,92],[0,7,79],[1,2,100],[1,3,12],[1,4,45],[1,5,44],[1,6,57],[1,7,59],[2,3,64],[2,4,69],[2,5,62],[2,6,47],[2,7,52],[3,5,50],[3,6,10],[3,7,99],[4,5,88],[4,6,5],[4,7,30],[5,6,97],[5,7,66],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=5, w=5\",\"Add (3,6)=10, w=15\",\"Add (1,3)=12, w=27\",\"Add (0,2)=25, w=52\",\"Add (4,7)=30, w=82\",\"Add (0,4)=35, w=117\",\"Add (1,5)=44, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,25],[0,3,71],[0,4,35],[0,5,99],[0,6,92],[0,7,79],[1,2,100],[1,3,12],[1,4,45],[1,5,44],[1,6,57],[1,7,59],[2,3,64],[2,4,69],[2,5,62],[2,6,47],[2,7,52],[3,5,50],[3,6,10],[3,7,99],[4,5,88],[4,6,5],[4,7,30],[5,6,97],[5,7,66],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=5 Succeeded, w=5\",\"Add (3,6)=10 Succeeded, w=15\",\"Add (1,3)=12 Succeeded, w=27\",\"Add (0,2)=25 Succeeded, w=52\",\"Add (4,7)=30 Succeeded, w=82\",\"Add (0,4)=35 Succeeded, w=117\",\"Add (1,5)=44 Succeeded, w=161\",\"Add (1,4)=45 Failed, w=161\",\"Add (2,6)=47 Failed, w=161\",\"Add (3,5)=50 Failed, w=161\",\"Add (2,7)=52 Failed, w=161\",\"Add (1,6)=57 Failed, w=161\",\"Add (1,7)=59 Failed, w=161\",\"Add (2,5)=62 Failed, w=161\",\"Add (2,3)=64 Failed, w=161\",\"Add (5,7)=66 Failed, w=161\",\"Add (2,4)=69 Failed, w=161\",\"Add (0,3)=71 Failed, w=161\",\"Add (0,1)=79 Failed, w=161\",\"Add (0,7)=79 Failed, w=161\",\"Add (4,5)=88 Failed, w=161\",\"Add (0,6)=92 Failed, w=161\",\"Add (5,6)=97 Failed, w=161\",\"Add (6,7)=97 Failed, w=161\",\"Add (0,5)=99 Failed, w=161\",\"Add (3,7)=99 Failed, w=161\",\"Add (1,2)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,25],[0,3,71],[0,4,35],[0,5,99],[0,6,92],[0,7,79],[1,2,100],[1,3,12],[1,4,45],[1,5,44],[1,6,57],[1,7,59],[2,3,64],[2,4,69],[2,5,62],[2,6,47],[2,7,52],[3,5,50],[3,6,10],[3,7,99],[4,5,88],[4,6,5],[4,7,30],[5,6,97],[5,7,66],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=5,(3,6)=10,(1,3)=12,(0,2)=25,(4,7)=30,(0,4)=35,(1,5)=44,(1,4)=45,(2,6)=47,(3,5)=50,(2,7)=52,(1,6)=57,(1,7)=59,(2,5)=62,(2,3)=64,(5,7)=66,(2,4)=69,(0,3)=71,(0,1)=79,(0,7)=79,(4,5)=88,(0,6)=92,(5,6)=97,(6,7)=97,(0,5)=99,(3,7)=99,(1,2)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Find(3)=3, Find(6)=4, Add (3,6)=10 Succeeded, w=15\",\"Find(1)=1, Find(3)=4, Add (1,3)=12 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=52\",\"Find(4)=4, Find(7)=7, Add (4,7)=30 Succeeded, w=82\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=117\",\"Find(1)=0, Find(5)=5, Add (1,5)=44 Succeeded, w=161\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=161\",\"Find(2)=0, Find(6)=0, Add (2,6)=47 Failed, w=161\",\"Find(3)=0, Find(5)=0, Add (3,5)=50 Failed, w=161\",\"Find(2)=0, Find(7)=0, Add (2,7)=52 Failed, w=161\",\"Find(1)=0, Find(6)=0, Add (1,6)=57 Failed, w=161\",\"Find(1)=0, Find(7)=0, Add (1,7)=59 Failed, w=161\",\"Find(2)=0, Find(5)=0, Add (2,5)=62 Failed, w=161\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=161\",\"Find(5)=0, Find(7)=0, Add (5,7)=66 Failed, w=161\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=161\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=161\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=161\",\"Find(0)=0, Find(7)=0, Add (0,7)=79 Failed, w=161\",\"Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=161\",\"Find(0)=0, Find(6)=0, Add (0,6)=92 Failed, w=161\",\"Find(5)=0, Find(6)=0, Add (5,6)=97 Failed, w=161\",\"Find(6)=0, Find(7)=0, Add (6,7)=97 Failed, w=161\",\"Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=161\",\"Find(3)=0, Find(7)=0, Add (3,7)=99 Failed, w=161\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,25],[0,3,71],[0,4,35],[0,5,99],[0,6,92],[0,7,79],[1,2,100],[1,3,12],[1,4,45],[1,5,44],[1,6,57],[1,7,59],[2,3,64],[2,4,69],[2,5,62],[2,6,47],[2,7,52],[3,5,50],[3,6,10],[3,7,99],[4,5,88],[4,6,5],[4,7,30],[5,6,97],[5,7,66],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=5,(3,6)=10,(1,3)=12,(0,2)=25,(4,7)=30,(0,4)=35,(1,5)=44,(1,4)=45,(2,6)=47,(3,5)=50,(2,7)=52,(1,6)=57,(1,7)=59,(2,5)=62,(2,3)=64,(5,7)=66,(2,4)=69,(0,3)=71,(0,1)=79,(0,7)=79,(4,5)=88,(0,6)=92,(5,6)=97,(6,7)=97,(0,5)=99,(3,7)=99,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(3)=3, Find(6)=4, Add (3,6)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(3)=4, Add (1,3)=12 Succeeded, w=27\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=52\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 4, 4: 4, 5: 5, 6: 4, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=30 Succeeded, w=82\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 4, 4: 0, 5: 5, 6: 4, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 4, 7: 4}, Find(1)=0, Find(5)=5, Add (1,5)=44 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 4, 7: 4}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=0, Find(6)=0, Add (2,6)=47 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(3)=0, Find(5)=0, Add (3,5)=50 Failed, w=161\",\"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)=52 Failed, w=161\",\"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)=57 Failed, w=161\",\"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)=59 Failed, w=161\",\"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)=62 Failed, w=161\",\"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)=64 Failed, w=161\",\"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)=66 Failed, w=161\",\"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)=69 Failed, w=161\",\"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)=71 Failed, w=161\",\"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)=79 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=79 Failed, w=161\",\"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)=88 Failed, w=161\",\"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)=92 Failed, w=161\",\"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)=97 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=97 Failed, w=161\",\"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)=99 Failed, w=161\",\"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)=99 Failed, w=161\",\"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)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,2,2],[0,3,30],[0,4,29],[1,4,11],[1,5,72],[2,3,30],[2,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,2],[0,3,30],[0,4,29],[1,4,11],[1,5,72],[2,3,30],[2,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,2],[0,3,30],[0,4,29],[1,4,11],[1,5,72],[2,3,30],[2,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,2],[0,3,30],[0,4,29],[1,4,11],[1,5,72],[2,3,30],[2,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (1,4)=11, w=13\",\"Add (2,4)=27, w=40\",\"Add (0,3)=30, w=70\",\"Add (1,5)=72, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,2],[0,3,30],[0,4,29],[1,4,11],[1,5,72],[2,3,30],[2,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,4)=11 Succeeded, w=13\",\"Add (2,4)=27 Succeeded, w=40\",\"Add (0,4)=29 Failed, w=40\",\"Add (0,3)=30 Succeeded, w=70\",\"Add (2,3)=30 Failed, w=70\",\"Add (1,5)=72 Succeeded, w=142\",\"Add (0,1)=91 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,2],[0,3,30],[0,4,29],[1,4,11],[1,5,72],[2,3,30],[2,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,4)=11,(2,4)=27,(0,4)=29,(0,3)=30,(2,3)=30,(1,5)=72,(0,1)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=13\",\"Find(2)=0, Find(4)=1, Add (2,4)=27 Succeeded, w=40\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=40\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=70\",\"Find(2)=0, Find(3)=0, Add (2,3)=30 Failed, w=70\",\"Find(1)=0, Find(5)=5, Add (1,5)=72 Succeeded, w=142\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,2],[0,3,30],[0,4,29],[1,4,11],[1,5,72],[2,3,30],[2,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,4)=11,(2,4)=27,(0,4)=29,(0,3)=30,(2,3)=30,(1,5)=72,(0,1)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 5}, Find(2)=0, Find(4)=1, Add (2,4)=27 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=30 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=72 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,64],[1,2,79],[1,4,35],[2,3,29],[2,4,10],[3,4,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,64],[1,2,79],[1,4,35],[2,3,29],[2,4,10],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,64],[1,2,79],[1,4,35],[2,3,29],[2,4,10],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,64],[1,2,79],[1,4,35],[2,3,29],[2,4,10],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (3,4)=16, w=26\",\"Add (1,4)=35, w=61\",\"Add (0,4)=64, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,64],[1,2,79],[1,4,35],[2,3,29],[2,4,10],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (3,4)=16 Succeeded, w=26\",\"Add (2,3)=29 Failed, w=26\",\"Add (1,4)=35 Succeeded, w=61\",\"Add (0,4)=64 Succeeded, w=125\",\"Add (1,2)=79 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,64],[1,2,79],[1,4,35],[2,3,29],[2,4,10],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(3,4)=16,(2,3)=29,(1,4)=35,(0,4)=64,(1,2)=79]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(3)=3, Find(4)=2, Add (3,4)=16 Succeeded, w=26\",\"Find(2)=2, Find(3)=2, Add (2,3)=29 Failed, w=26\",\"Find(1)=1, Find(4)=2, Add (1,4)=35 Succeeded, w=61\",\"Find(0)=0, Find(4)=2, Add (0,4)=64 Succeeded, w=125\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,64],[1,2,79],[1,4,35],[2,3,29],[2,4,10],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(3,4)=16,(2,3)=29,(1,4)=35,(0,4)=64,(1,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=29 Failed, w=26\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=35 Succeeded, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=64 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,5],[0,2,20],[0,3,11],[0,5,74],[0,7,0],[1,2,22],[1,3,67],[1,4,98],[1,5,29],[1,6,37],[2,3,25],[2,4,48],[2,5,1],[2,6,71],[2,7,96],[3,4,51],[3,5,22],[3,7,93],[4,5,52],[4,6,77],[5,6,76],[5,7,14],[6,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,20],[0,3,11],[0,5,74],[0,7,0],[1,2,22],[1,3,67],[1,4,98],[1,5,29],[1,6,37],[2,3,25],[2,4,48],[2,5,1],[2,6,71],[2,7,96],[3,4,51],[3,5,22],[3,7,93],[4,5,52],[4,6,77],[5,6,76],[5,7,14],[6,7,59]]}",
"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\":[[0,1,5],[0,2,20],[0,3,11],[0,5,74],[0,7,0],[1,2,22],[1,3,67],[1,4,98],[1,5,29],[1,6,37],[2,3,25],[2,4,48],[2,5,1],[2,6,71],[2,7,96],[3,4,51],[3,5,22],[3,7,93],[4,5,52],[4,6,77],[5,6,76],[5,7,14],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (5,7)\",\"Add (1,6)\",\"Add (2,4)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,20],[0,3,11],[0,5,74],[0,7,0],[1,2,22],[1,3,67],[1,4,98],[1,5,29],[1,6,37],[2,3,25],[2,4,48],[2,5,1],[2,6,71],[2,7,96],[3,4,51],[3,5,22],[3,7,93],[4,5,52],[4,6,77],[5,6,76],[5,7,14],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0, w=0\",\"Add (2,5)=1, w=1\",\"Add (0,1)=5, w=6\",\"Add (0,3)=11, w=17\",\"Add (5,7)=14, w=31\",\"Add (1,6)=37, w=68\",\"Add (2,4)=48, 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\":[[0,1,5],[0,2,20],[0,3,11],[0,5,74],[0,7,0],[1,2,22],[1,3,67],[1,4,98],[1,5,29],[1,6,37],[2,3,25],[2,4,48],[2,5,1],[2,6,71],[2,7,96],[3,4,51],[3,5,22],[3,7,93],[4,5,52],[4,6,77],[5,6,76],[5,7,14],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0 Succeeded, w=0\",\"Add (2,5)=1 Succeeded, w=1\",\"Add (0,1)=5 Succeeded, w=6\",\"Add (0,3)=11 Succeeded, w=17\",\"Add (5,7)=14 Succeeded, w=31\",\"Add (0,2)=20 Failed, w=31\",\"Add (1,2)=22 Failed, w=31\",\"Add (3,5)=22 Failed, w=31\",\"Add (2,3)=25 Failed, w=31\",\"Add (1,5)=29 Failed, w=31\",\"Add (1,6)=37 Succeeded, w=68\",\"Add (2,4)=48 Succeeded, w=116\",\"Add (3,4)=51 Failed, w=116\",\"Add (4,5)=52 Failed, w=116\",\"Add (6,7)=59 Failed, w=116\",\"Add (1,3)=67 Failed, w=116\",\"Add (2,6)=71 Failed, w=116\",\"Add (0,5)=74 Failed, w=116\",\"Add (5,6)=76 Failed, w=116\",\"Add (4,6)=77 Failed, w=116\",\"Add (3,7)=93 Failed, w=116\",\"Add (2,7)=96 Failed, w=116\",\"Add (1,4)=98 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\":[[0,1,5],[0,2,20],[0,3,11],[0,5,74],[0,7,0],[1,2,22],[1,3,67],[1,4,98],[1,5,29],[1,6,37],[2,3,25],[2,4,48],[2,5,1],[2,6,71],[2,7,96],[3,4,51],[3,5,22],[3,7,93],[4,5,52],[4,6,77],[5,6,76],[5,7,14],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(2,5)=1,(0,1)=5,(0,3)=11,(5,7)=14,(0,2)=20,(1,2)=22,(3,5)=22,(2,3)=25,(1,5)=29,(1,6)=37,(2,4)=48,(3,4)=51,(4,5)=52,(6,7)=59,(1,3)=67,(2,6)=71,(0,5)=74,(5,6)=76,(4,6)=77,(3,7)=93,(2,7)=96,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=17\",\"Find(5)=2, Find(7)=0, Add (5,7)=14 Succeeded, w=31\",\"Find(0)=2, Find(2)=2, Add (0,2)=20 Failed, w=31\",\"Find(1)=2, Find(2)=2, Add (1,2)=22 Failed, w=31\",\"Find(3)=2, Find(5)=2, Add (3,5)=22 Failed, w=31\",\"Find(2)=2, Find(3)=2, Add (2,3)=25 Failed, w=31\",\"Find(1)=2, Find(5)=2, Add (1,5)=29 Failed, w=31\",\"Find(1)=2, Find(6)=6, Add (1,6)=37 Succeeded, w=68\",\"Find(2)=2, Find(4)=4, Add (2,4)=48 Succeeded, w=116\",\"Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=116\",\"Find(4)=2, Find(5)=2, Add (4,5)=52 Failed, w=116\",\"Find(6)=2, Find(7)=2, Add (6,7)=59 Failed, w=116\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=116\",\"Find(2)=2, Find(6)=2, Add (2,6)=71 Failed, w=116\",\"Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=116\",\"Find(5)=2, Find(6)=2, Add (5,6)=76 Failed, w=116\",\"Find(4)=2, Find(6)=2, Add (4,6)=77 Failed, w=116\",\"Find(3)=2, Find(7)=2, Add (3,7)=93 Failed, w=116\",\"Find(2)=2, Find(7)=2, Add (2,7)=96 Failed, w=116\",\"Find(1)=2, Find(4)=2, Add (1,4)=98 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\":[[0,1,5],[0,2,20],[0,3,11],[0,5,74],[0,7,0],[1,2,22],[1,3,67],[1,4,98],[1,5,29],[1,6,37],[2,3,25],[2,4,48],[2,5,1],[2,6,71],[2,7,96],[3,4,51],[3,5,22],[3,7,93],[4,5,52],[4,6,77],[5,6,76],[5,7,14],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(2,5)=1,(0,1)=5,(0,3)=11,(5,7)=14,(0,2)=20,(1,2)=22,(3,5)=22,(2,3)=25,(1,5)=29,(1,6)=37,(2,4)=48,(3,4)=51,(4,5)=52,(6,7)=59,(1,3)=67,(2,6)=71,(0,5)=74,(5,6)=76,(4,6)=77,(3,7)=93,(2,7)=96,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 0}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=17\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 0}, Find(5)=2, Find(7)=0, Add (5,7)=14 Succeeded, w=31\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 0}, Find(0)=2, Find(2)=2, Add (0,2)=20 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 0}, Find(1)=2, Find(2)=2, Add (1,2)=22 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 0}, Find(3)=2, Find(5)=2, Add (3,5)=22 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 0}, Find(2)=2, Find(3)=2, Add (2,3)=25 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 0}, Find(1)=2, Find(5)=2, Add (1,5)=29 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 0}, Find(1)=2, Find(6)=6, Add (1,6)=37 Succeeded, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=48 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(4)=2, Find(5)=2, Add (4,5)=52 Failed, w=116\",\"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)=59 Failed, w=116\",\"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)=67 Failed, w=116\",\"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)=71 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=76 Failed, w=116\",\"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)=77 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=93 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=96 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,2,57],[0,3,76],[0,4,24],[1,2,52],[1,3,98],[1,4,11],[2,3,86],[2,4,52],[3,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,57],[0,3,76],[0,4,24],[1,2,52],[1,3,98],[1,4,11],[2,3,86],[2,4,52],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,57],[0,3,76],[0,4,24],[1,2,52],[1,3,98],[1,4,11],[2,3,86],[2,4,52],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,57],[0,3,76],[0,4,24],[1,2,52],[1,3,98],[1,4,11],[2,3,86],[2,4,52],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11, w=11\",\"Add (0,4)=24, w=35\",\"Add (3,4)=25, w=60\",\"Add (1,2)=52, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,57],[0,3,76],[0,4,24],[1,2,52],[1,3,98],[1,4,11],[2,3,86],[2,4,52],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11 Succeeded, w=11\",\"Add (0,4)=24 Succeeded, w=35\",\"Add (3,4)=25 Succeeded, w=60\",\"Add (0,1)=38 Failed, w=60\",\"Add (1,2)=52 Succeeded, w=112\",\"Add (2,4)=52 Failed, w=112\",\"Add (0,2)=57 Failed, w=112\",\"Add (0,3)=76 Failed, w=112\",\"Add (2,3)=86 Failed, w=112\",\"Add (1,3)=98 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,57],[0,3,76],[0,4,24],[1,2,52],[1,3,98],[1,4,11],[2,3,86],[2,4,52],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(0,4)=24,(3,4)=25,(0,1)=38,(1,2)=52,(2,4)=52,(0,2)=57,(0,3)=76,(2,3)=86,(1,3)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=35\",\"Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=60\",\"Find(0)=1, Find(1)=1, Add (0,1)=38 Failed, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=52 Succeeded, w=112\",\"Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=112\",\"Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=112\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=112\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=112\",\"Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,57],[0,3,76],[0,4,24],[1,2,52],[1,3,98],[1,4,11],[2,3,86],[2,4,52],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(0,4)=24,(3,4)=25,(0,1)=38,(1,2)=52,(2,4)=52,(0,2)=57,(0,3)=76,(2,3)=86,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=38 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=52 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,2,90],[0,3,13],[1,2,47],[1,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,90],[0,3,13],[1,2,47],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,90],[0,3,13],[1,2,47],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,90],[0,3,13],[1,2,47],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (0,1)=34, w=47\",\"Add (1,2)=47, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,90],[0,3,13],[1,2,47],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (0,1)=34 Succeeded, w=47\",\"Add (1,3)=45 Failed, w=47\",\"Add (1,2)=47 Succeeded, w=94\",\"Add (0,2)=90 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,90],[0,3,13],[1,2,47],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,1)=34,(1,3)=45,(1,2)=47,(0,2)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=47\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=47\",\"Find(1)=0, Find(2)=2, Add (1,2)=47 Succeeded, w=94\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,90],[0,3,13],[1,2,47],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,1)=34,(1,3)=45,(1,2)=47,(0,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=47 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,3],[0,2,57],[0,3,86],[1,2,85],[1,3,39],[2,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,57],[0,3,86],[1,2,85],[1,3,39],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,57],[0,3,86],[1,2,85],[1,3,39],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,57],[0,3,86],[1,2,85],[1,3,39],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (1,3)=39, w=42\",\"Add (2,3)=51, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,57],[0,3,86],[1,2,85],[1,3,39],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,3)=39 Succeeded, w=42\",\"Add (2,3)=51 Succeeded, w=93\",\"Add (0,2)=57 Failed, w=93\",\"Add (1,2)=85 Failed, w=93\",\"Add (0,3)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,57],[0,3,86],[1,2,85],[1,3,39],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,3)=39,(2,3)=51,(0,2)=57,(1,2)=85,(0,3)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=42\",\"Find(2)=2, Find(3)=0, Add (2,3)=51 Succeeded, w=93\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=93\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=93\",\"Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,57],[0,3,86],[1,2,85],[1,3,39],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,3)=39,(2,3)=51,(0,2)=57,(1,2)=85,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=51 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,26],[0,2,63],[0,4,65],[0,5,11],[1,2,43],[1,3,1],[1,5,25],[2,3,55],[2,4,85],[2,5,83],[3,4,2],[3,5,32],[4,5,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,63],[0,4,65],[0,5,11],[1,2,43],[1,3,1],[1,5,25],[2,3,55],[2,4,85],[2,5,83],[3,4,2],[3,5,32],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,63],[0,4,65],[0,5,11],[1,2,43],[1,3,1],[1,5,25],[2,3,55],[2,4,85],[2,5,83],[3,4,2],[3,5,32],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (1,2)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,63],[0,4,65],[0,5,11],[1,2,43],[1,3,1],[1,5,25],[2,3,55],[2,4,85],[2,5,83],[3,4,2],[3,5,32],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (3,4)=2, w=3\",\"Add (0,5)=11, w=14\",\"Add (1,5)=25, w=39\",\"Add (1,2)=43, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,63],[0,4,65],[0,5,11],[1,2,43],[1,3,1],[1,5,25],[2,3,55],[2,4,85],[2,5,83],[3,4,2],[3,5,32],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (3,4)=2 Succeeded, w=3\",\"Add (0,5)=11 Succeeded, w=14\",\"Add (1,5)=25 Succeeded, w=39\",\"Add (0,1)=26 Failed, w=39\",\"Add (3,5)=32 Failed, w=39\",\"Add (1,2)=43 Succeeded, w=82\",\"Add (2,3)=55 Failed, w=82\",\"Add (0,2)=63 Failed, w=82\",\"Add (0,4)=65 Failed, w=82\",\"Add (2,5)=83 Failed, w=82\",\"Add (4,5)=83 Failed, w=82\",\"Add (2,4)=85 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,63],[0,4,65],[0,5,11],[1,2,43],[1,3,1],[1,5,25],[2,3,55],[2,4,85],[2,5,83],[3,4,2],[3,5,32],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(3,4)=2,(0,5)=11,(1,5)=25,(0,1)=26,(3,5)=32,(1,2)=43,(2,3)=55,(0,2)=63,(0,4)=65,(2,5)=83,(4,5)=83,(2,4)=85]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(3)=1, Find(4)=4, Add (3,4)=2 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=14\",\"Find(1)=1, Find(5)=0, Add (1,5)=25 Succeeded, w=39\",\"Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=39\",\"Find(3)=1, Find(5)=1, Add (3,5)=32 Failed, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=82\",\"Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=82\",\"Find(0)=1, Find(2)=1, Add (0,2)=63 Failed, w=82\",\"Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=82\",\"Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=82\",\"Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=82\",\"Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,63],[0,4,65],[0,5,11],[1,2,43],[1,3,1],[1,5,25],[2,3,55],[2,4,85],[2,5,83],[3,4,2],[3,5,32],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(3,4)=2,(0,5)=11,(1,5)=25,(0,1)=26,(3,5)=32,(1,2)=43,(2,3)=55,(0,2)=63,(0,4)=65,(2,5)=83,(4,5)=83,(2,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=25 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=32 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=63 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,63],[0,3,50],[1,3,46],[2,3,75],[2,4,9],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,3,50],[1,3,46],[2,3,75],[2,4,9],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,3,50],[1,3,46],[2,3,75],[2,4,9],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,3,50],[1,3,46],[2,3,75],[2,4,9],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9, w=9\",\"Add (3,4)=11, w=20\",\"Add (1,3)=46, w=66\",\"Add (0,3)=50, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,3,50],[1,3,46],[2,3,75],[2,4,9],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9 Succeeded, w=9\",\"Add (3,4)=11 Succeeded, w=20\",\"Add (1,3)=46 Succeeded, w=66\",\"Add (0,3)=50 Succeeded, w=116\",\"Add (0,1)=63 Failed, w=116\",\"Add (2,3)=75 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,3,50],[1,3,46],[2,3,75],[2,4,9],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(3,4)=11,(1,3)=46,(0,3)=50,(0,1)=63,(2,3)=75]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Find(3)=3, Find(4)=2, Add (3,4)=11 Succeeded, w=20\",\"Find(1)=1, Find(3)=2, Add (1,3)=46 Succeeded, w=66\",\"Find(0)=0, Find(3)=2, Add (0,3)=50 Succeeded, w=116\",\"Find(0)=2, Find(1)=2, Add (0,1)=63 Failed, w=116\",\"Find(2)=2, Find(3)=2, Add (2,3)=75 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,3,50],[1,3,46],[2,3,75],[2,4,9],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(3,4)=11,(1,3)=46,(0,3)=50,(0,1)=63,(2,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=46 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=50 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=63 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=75 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,22],[0,5,85],[0,6,42],[0,7,76],[1,3,83],[1,6,75],[1,7,70],[2,6,55],[3,4,60],[3,5,70],[3,7,38],[4,5,16],[5,6,65],[6,7,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,22],[0,5,85],[0,6,42],[0,7,76],[1,3,83],[1,6,75],[1,7,70],[2,6,55],[3,4,60],[3,5,70],[3,7,38],[4,5,16],[5,6,65],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,22],[0,5,85],[0,6,42],[0,7,76],[1,3,83],[1,6,75],[1,7,70],[2,6,55],[3,4,60],[3,5,70],[3,7,38],[4,5,16],[5,6,65],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,2)\",\"Add (3,7)\",\"Add (0,6)\",\"Add (6,7)\",\"Add (3,4)\",\"Add (1,7)\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,22],[0,5,85],[0,6,42],[0,7,76],[1,3,83],[1,6,75],[1,7,70],[2,6,55],[3,4,60],[3,5,70],[3,7,38],[4,5,16],[5,6,65],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=16, w=16\",\"Add (0,2)=22, w=38\",\"Add (3,7)=38, w=76\",\"Add (0,6)=42, w=118\",\"Add (6,7)=42, w=160\",\"Add (3,4)=60, w=220\",\"Add (1,7)=70, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,22],[0,5,85],[0,6,42],[0,7,76],[1,3,83],[1,6,75],[1,7,70],[2,6,55],[3,4,60],[3,5,70],[3,7,38],[4,5,16],[5,6,65],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=16 Succeeded, w=16\",\"Add (0,2)=22 Succeeded, w=38\",\"Add (3,7)=38 Succeeded, w=76\",\"Add (0,6)=42 Succeeded, w=118\",\"Add (6,7)=42 Succeeded, w=160\",\"Add (2,6)=55 Failed, w=160\",\"Add (3,4)=60 Succeeded, w=220\",\"Add (5,6)=65 Failed, w=220\",\"Add (1,7)=70 Succeeded, w=290\",\"Add (3,5)=70 Failed, w=290\",\"Add (1,6)=75 Failed, w=290\",\"Add (0,7)=76 Failed, w=290\",\"Add (1,3)=83 Failed, w=290\",\"Add (0,5)=85 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,22],[0,5,85],[0,6,42],[0,7,76],[1,3,83],[1,6,75],[1,7,70],[2,6,55],[3,4,60],[3,5,70],[3,7,38],[4,5,16],[5,6,65],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=16,(0,2)=22,(3,7)=38,(0,6)=42,(6,7)=42,(2,6)=55,(3,4)=60,(5,6)=65,(1,7)=70,(3,5)=70,(1,6)=75,(0,7)=76,(1,3)=83,(0,5)=85]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=38\",\"Find(3)=3, Find(7)=7, Add (3,7)=38 Succeeded, w=76\",\"Find(0)=0, Find(6)=6, Add (0,6)=42 Succeeded, w=118\",\"Find(6)=0, Find(7)=3, Add (6,7)=42 Succeeded, w=160\",\"Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=160\",\"Find(3)=0, Find(4)=4, Add (3,4)=60 Succeeded, w=220\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=220\",\"Find(1)=1, Find(7)=0, Add (1,7)=70 Succeeded, w=290\",\"Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=290\",\"Find(1)=0, Find(6)=0, Add (1,6)=75 Failed, w=290\",\"Find(0)=0, Find(7)=0, Add (0,7)=76 Failed, w=290\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=290\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,22],[0,5,85],[0,6,42],[0,7,76],[1,3,83],[1,6,75],[1,7,70],[2,6,55],[3,4,60],[3,5,70],[3,7,38],[4,5,16],[5,6,65],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=16,(0,2)=22,(3,7)=38,(0,6)=42,(6,7)=42,(2,6)=55,(3,4)=60,(5,6)=65,(1,7)=70,(3,5)=70,(1,6)=75,(0,7)=76,(1,3)=83,(0,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=38 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 0, 7: 3}, Find(0)=0, Find(6)=6, Add (0,6)=42 Succeeded, w=118\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0, 7: 3}, Find(6)=0, Find(7)=3, Add (6,7)=42 Succeeded, w=160\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0, 7: 3}, Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=160\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 3}, Find(3)=0, Find(4)=4, Add (3,4)=60 Succeeded, w=220\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=220\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=70 Succeeded, w=290\",\"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)=70 Failed, w=290\",\"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=290\",\"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=290\",\"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)=83 Failed, w=290\",\"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)=85 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,80],[0,3,21],[1,2,71],[1,3,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[0,3,21],[1,2,71],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[0,3,21],[1,2,71],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[0,3,21],[1,2,71],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=20, w=20\",\"Add (0,3)=21, w=41\",\"Add (1,2)=71, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[0,3,21],[1,2,71],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=20 Succeeded, w=20\",\"Add (0,3)=21 Succeeded, w=41\",\"Add (1,2)=71 Succeeded, w=112\",\"Add (0,2)=80 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[0,3,21],[1,2,71],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=20,(0,3)=21,(1,2)=71,(0,2)=80]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=20\",\"Find(0)=0, Find(3)=1, Add (0,3)=21 Succeeded, w=41\",\"Find(1)=1, Find(2)=2, Add (1,2)=71 Succeeded, w=112\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[0,3,21],[1,2,71],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=20,(0,3)=21,(1,2)=71,(0,2)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=21 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=71 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,70],[0,2,24],[0,3,43],[0,4,65],[1,2,71],[2,3,72],[2,4,4],[3,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,24],[0,3,43],[0,4,65],[1,2,71],[2,3,72],[2,4,4],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,24],[0,3,43],[0,4,65],[1,2,71],[2,3,72],[2,4,4],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,24],[0,3,43],[0,4,65],[1,2,71],[2,3,72],[2,4,4],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (0,2)=24, w=28\",\"Add (0,3)=43, w=71\",\"Add (0,1)=70, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,24],[0,3,43],[0,4,65],[1,2,71],[2,3,72],[2,4,4],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (0,2)=24 Succeeded, w=28\",\"Add (0,3)=43 Succeeded, w=71\",\"Add (0,4)=65 Failed, w=71\",\"Add (0,1)=70 Succeeded, w=141\",\"Add (1,2)=71 Failed, w=141\",\"Add (2,3)=72 Failed, w=141\",\"Add (3,4)=91 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,24],[0,3,43],[0,4,65],[1,2,71],[2,3,72],[2,4,4],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=24,(0,3)=43,(0,4)=65,(0,1)=70,(1,2)=71,(2,3)=72,(3,4)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=28\",\"Find(0)=2, Find(3)=3, Add (0,3)=43 Succeeded, w=71\",\"Find(0)=2, Find(4)=2, Add (0,4)=65 Failed, w=71\",\"Find(0)=2, Find(1)=1, Add (0,1)=70 Succeeded, w=141\",\"Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=141\",\"Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=141\",\"Find(3)=2, Find(4)=2, Add (3,4)=91 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,24],[0,3,43],[0,4,65],[1,2,71],[2,3,72],[2,4,4],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=24,(0,3)=43,(0,4)=65,(0,1)=70,(1,2)=71,(2,3)=72,(3,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=43 Succeeded, w=71\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=65 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=70 Succeeded, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=91 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,2,57],[0,3,7],[0,4,84],[0,5,25],[1,2,78],[1,3,86],[1,4,84],[1,5,77],[2,3,5],[2,4,69],[2,5,91],[3,4,29],[3,5,83],[4,5,12]]} | [
{
"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],[0,3,7],[0,4,84],[0,5,25],[1,2,78],[1,3,86],[1,4,84],[1,5,77],[2,3,5],[2,4,69],[2,5,91],[3,4,29],[3,5,83],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,7],[0,4,84],[0,5,25],[1,2,78],[1,3,86],[1,4,84],[1,5,77],[2,3,5],[2,4,69],[2,5,91],[3,4,29],[3,5,83],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (0,1)\"],\"Answer\":124}",
"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],[0,3,7],[0,4,84],[0,5,25],[1,2,78],[1,3,86],[1,4,84],[1,5,77],[2,3,5],[2,4,69],[2,5,91],[3,4,29],[3,5,83],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,3)=7, w=12\",\"Add (4,5)=12, w=24\",\"Add (0,5)=25, w=49\",\"Add (0,1)=75, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,7],[0,4,84],[0,5,25],[1,2,78],[1,3,86],[1,4,84],[1,5,77],[2,3,5],[2,4,69],[2,5,91],[3,4,29],[3,5,83],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,3)=7 Succeeded, w=12\",\"Add (4,5)=12 Succeeded, w=24\",\"Add (0,5)=25 Succeeded, w=49\",\"Add (3,4)=29 Failed, w=49\",\"Add (0,2)=57 Failed, w=49\",\"Add (2,4)=69 Failed, w=49\",\"Add (0,1)=75 Succeeded, w=124\",\"Add (1,5)=77 Failed, w=124\",\"Add (1,2)=78 Failed, w=124\",\"Add (3,5)=83 Failed, w=124\",\"Add (0,4)=84 Failed, w=124\",\"Add (1,4)=84 Failed, w=124\",\"Add (1,3)=86 Failed, w=124\",\"Add (2,5)=91 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,7],[0,4,84],[0,5,25],[1,2,78],[1,3,86],[1,4,84],[1,5,77],[2,3,5],[2,4,69],[2,5,91],[3,4,29],[3,5,83],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,3)=7,(4,5)=12,(0,5)=25,(3,4)=29,(0,2)=57,(2,4)=69,(0,1)=75,(1,5)=77,(1,2)=78,(3,5)=83,(0,4)=84,(1,4)=84,(1,3)=86,(2,5)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=2, Add (0,3)=7 Succeeded, w=12\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=24\",\"Find(0)=2, Find(5)=4, Add (0,5)=25 Succeeded, w=49\",\"Find(3)=2, Find(4)=2, Add (3,4)=29 Failed, w=49\",\"Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=49\",\"Find(2)=2, Find(4)=2, Add (2,4)=69 Failed, w=49\",\"Find(0)=2, Find(1)=1, Add (0,1)=75 Succeeded, w=124\",\"Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=124\",\"Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=124\",\"Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=124\",\"Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=124\",\"Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=124\",\"Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=124\",\"Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,57],[0,3,7],[0,4,84],[0,5,25],[1,2,78],[1,3,86],[1,4,84],[1,5,77],[2,3,5],[2,4,69],[2,5,91],[3,4,29],[3,5,83],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,3)=7,(4,5)=12,(0,5)=25,(3,4)=29,(0,2)=57,(2,4)=69,(0,1)=75,(1,5)=77,(1,2)=78,(3,5)=83,(0,4)=84,(1,4)=84,(1,3)=86,(2,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(3)=2, Add (0,3)=7 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(5)=4, Add (0,5)=25 Succeeded, w=49\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(4)=2, Add (3,4)=29 Failed, w=49\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=49\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(2)=2, Find(4)=2, Add (2,4)=69 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(1)=1, Add (0,1)=75 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,35],[0,2,100],[0,3,52],[0,5,65],[0,6,72],[1,3,92],[1,5,52],[1,6,74],[2,3,26],[2,5,91],[2,6,6],[3,4,18],[3,6,5],[4,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,100],[0,3,52],[0,5,65],[0,6,72],[1,3,92],[1,5,52],[1,6,74],[2,3,26],[2,5,91],[2,6,6],[3,4,18],[3,6,5],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,100],[0,3,52],[0,5,65],[0,6,72],[1,3,92],[1,5,52],[1,6,74],[2,3,26],[2,5,91],[2,6,6],[3,4,18],[3,6,5],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,100],[0,3,52],[0,5,65],[0,6,72],[1,3,92],[1,5,52],[1,6,74],[2,3,26],[2,5,91],[2,6,6],[3,4,18],[3,6,5],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5, w=5\",\"Add (2,6)=6, w=11\",\"Add (3,4)=18, w=29\",\"Add (0,1)=35, w=64\",\"Add (0,3)=52, w=116\",\"Add (1,5)=52, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,100],[0,3,52],[0,5,65],[0,6,72],[1,3,92],[1,5,52],[1,6,74],[2,3,26],[2,5,91],[2,6,6],[3,4,18],[3,6,5],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5 Succeeded, w=5\",\"Add (2,6)=6 Succeeded, w=11\",\"Add (3,4)=18 Succeeded, w=29\",\"Add (2,3)=26 Failed, w=29\",\"Add (0,1)=35 Succeeded, w=64\",\"Add (4,6)=36 Failed, w=64\",\"Add (0,3)=52 Succeeded, w=116\",\"Add (1,5)=52 Succeeded, w=168\",\"Add (0,5)=65 Failed, w=168\",\"Add (0,6)=72 Failed, w=168\",\"Add (1,6)=74 Failed, w=168\",\"Add (2,5)=91 Failed, w=168\",\"Add (1,3)=92 Failed, w=168\",\"Add (0,2)=100 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,100],[0,3,52],[0,5,65],[0,6,72],[1,3,92],[1,5,52],[1,6,74],[2,3,26],[2,5,91],[2,6,6],[3,4,18],[3,6,5],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(2,6)=6,(3,4)=18,(2,3)=26,(0,1)=35,(4,6)=36,(0,3)=52,(1,5)=52,(0,5)=65,(0,6)=72,(1,6)=74,(2,5)=91,(1,3)=92,(0,2)=100]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=3, Add (2,6)=6 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=29\",\"Find(2)=3, Find(3)=3, Add (2,3)=26 Failed, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=64\",\"Find(4)=3, Find(6)=3, Add (4,6)=36 Failed, w=64\",\"Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=116\",\"Find(1)=0, Find(5)=5, Add (1,5)=52 Succeeded, w=168\",\"Find(0)=0, Find(5)=0, Add (0,5)=65 Failed, w=168\",\"Find(0)=0, Find(6)=0, Add (0,6)=72 Failed, w=168\",\"Find(1)=0, Find(6)=0, Add (1,6)=74 Failed, w=168\",\"Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=168\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=168\",\"Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,100],[0,3,52],[0,5,65],[0,6,72],[1,3,92],[1,5,52],[1,6,74],[2,3,26],[2,5,91],[2,6,6],[3,4,18],[3,6,5],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(2,6)=6,(3,4)=18,(2,3)=26,(0,1)=35,(4,6)=36,(0,3)=52,(1,5)=52,(0,5)=65,(0,6)=72,(1,6)=74,(2,5)=91,(1,3)=92,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=26 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=36 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0, 6: 3}, Find(1)=0, Find(5)=5, Add (1,5)=52 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0, 6: 3}, Find(0)=0, Find(5)=0, Add (0,5)=65 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=72 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=74 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,22],[0,2,74],[0,3,47],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,74],[0,3,47],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,74],[0,3,47],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,74],[0,3,47],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22, w=22\",\"Add (2,3)=29, w=51\",\"Add (0,3)=47, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,74],[0,3,47],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22 Succeeded, w=22\",\"Add (2,3)=29 Succeeded, w=51\",\"Add (0,3)=47 Succeeded, w=98\",\"Add (0,2)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,74],[0,3,47],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(2,3)=29,(0,3)=47,(0,2)=74]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=51\",\"Find(0)=0, Find(3)=2, Add (0,3)=47 Succeeded, w=98\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,74],[0,3,47],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(2,3)=29,(0,3)=47,(0,2)=74]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=47 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,29],[1,3,83],[1,5,95],[2,3,100],[2,5,96],[3,4,39],[3,6,79],[4,5,92],[5,6,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[1,3,83],[1,5,95],[2,3,100],[2,5,96],[3,4,39],[3,6,79],[4,5,92],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":378}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[1,3,83],[1,5,95],[2,3,100],[2,5,96],[3,4,39],[3,6,79],[4,5,92],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (2,5)\"],\"Answer\":378}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[1,3,83],[1,5,95],[2,3,100],[2,5,96],[3,4,39],[3,6,79],[4,5,92],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=29, w=29\",\"Add (3,4)=39, w=68\",\"Add (5,6)=52, w=120\",\"Add (3,6)=79, w=199\",\"Add (1,3)=83, w=282\",\"Add (2,5)=96, w=378\"],\"Answer\":378}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[1,3,83],[1,5,95],[2,3,100],[2,5,96],[3,4,39],[3,6,79],[4,5,92],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=29 Succeeded, w=29\",\"Add (3,4)=39 Succeeded, w=68\",\"Add (5,6)=52 Succeeded, w=120\",\"Add (3,6)=79 Succeeded, w=199\",\"Add (1,3)=83 Succeeded, w=282\",\"Add (4,5)=92 Failed, w=282\",\"Add (1,5)=95 Failed, w=282\",\"Add (2,5)=96 Succeeded, w=378\",\"Add (2,3)=100 Failed, w=378\"],\"Answer\":378}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[1,3,83],[1,5,95],[2,3,100],[2,5,96],[3,4,39],[3,6,79],[4,5,92],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=29,(3,4)=39,(5,6)=52,(3,6)=79,(1,3)=83,(4,5)=92,(1,5)=95,(2,5)=96,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=29\",\"Find(3)=3, Find(4)=4, Add (3,4)=39 Succeeded, w=68\",\"Find(5)=5, Find(6)=6, Add (5,6)=52 Succeeded, w=120\",\"Find(3)=3, Find(6)=5, Add (3,6)=79 Succeeded, w=199\",\"Find(1)=1, Find(3)=3, Add (1,3)=83 Succeeded, w=282\",\"Find(4)=3, Find(5)=3, Add (4,5)=92 Failed, w=282\",\"Find(1)=3, Find(5)=3, Add (1,5)=95 Failed, w=282\",\"Find(2)=0, Find(5)=3, Add (2,5)=96 Succeeded, w=378\",\"Find(2)=3, Find(3)=3, Add (2,3)=100 Failed, w=378\"],\"Answer\":378}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[1,3,83],[1,5,95],[2,3,100],[2,5,96],[3,4,39],[3,6,79],[4,5,92],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=29,(3,4)=39,(5,6)=52,(3,6)=79,(1,3)=83,(4,5)=92,(1,5)=95,(2,5)=96,(2,3)=100]\",\"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)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=39 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=52 Succeeded, w=120\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=79 Succeeded, w=199\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 5}, Find(1)=1, Find(3)=3, Add (1,3)=83 Succeeded, w=282\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 5}, Find(4)=3, Find(5)=3, Add (4,5)=92 Failed, w=282\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 5}, Find(1)=3, Find(5)=3, Add (1,5)=95 Failed, w=282\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 5}, Find(2)=0, Find(5)=3, Add (2,5)=96 Succeeded, w=378\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(2)=3, Find(3)=3, Add (2,3)=100 Failed, w=378\"],\"Answer\":378}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,67],[1,2,10],[1,3,97],[2,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,67],[1,2,10],[1,3,97],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,67],[1,2,10],[1,3,97],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,67],[1,2,10],[1,3,97],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (0,1)=36, w=46\",\"Add (2,3)=58, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,67],[1,2,10],[1,3,97],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (0,1)=36 Succeeded, w=46\",\"Add (2,3)=58 Succeeded, w=104\",\"Add (0,2)=67 Failed, w=104\",\"Add (1,3)=97 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,67],[1,2,10],[1,3,97],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,1)=36,(2,3)=58,(0,2)=67,(1,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=46\",\"Find(2)=1, Find(3)=3, Add (2,3)=58 Succeeded, w=104\",\"Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=104\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,67],[1,2,10],[1,3,97],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,1)=36,(2,3)=58,(0,2)=67,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=58 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,60],[0,3,52],[0,4,76],[0,5,74],[1,2,15],[1,3,3],[1,4,85],[1,5,49],[2,3,36],[2,4,57],[2,5,72],[3,4,43],[3,5,38],[4,5,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,60],[0,3,52],[0,4,76],[0,5,74],[1,2,15],[1,3,3],[1,4,85],[1,5,49],[2,3,36],[2,4,57],[2,5,72],[3,4,43],[3,5,38],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,60],[0,3,52],[0,4,76],[0,5,74],[1,2,15],[1,3,3],[1,4,85],[1,5,49],[2,3,36],[2,4,57],[2,5,72],[3,4,43],[3,5,38],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (0,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,60],[0,3,52],[0,4,76],[0,5,74],[1,2,15],[1,3,3],[1,4,85],[1,5,49],[2,3,36],[2,4,57],[2,5,72],[3,4,43],[3,5,38],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (1,2)=15, w=18\",\"Add (3,5)=38, w=56\",\"Add (4,5)=39, w=95\",\"Add (0,3)=52, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,60],[0,3,52],[0,4,76],[0,5,74],[1,2,15],[1,3,3],[1,4,85],[1,5,49],[2,3,36],[2,4,57],[2,5,72],[3,4,43],[3,5,38],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (1,2)=15 Succeeded, w=18\",\"Add (2,3)=36 Failed, w=18\",\"Add (3,5)=38 Succeeded, w=56\",\"Add (4,5)=39 Succeeded, w=95\",\"Add (3,4)=43 Failed, w=95\",\"Add (1,5)=49 Failed, w=95\",\"Add (0,3)=52 Succeeded, w=147\",\"Add (2,4)=57 Failed, w=147\",\"Add (0,2)=60 Failed, w=147\",\"Add (2,5)=72 Failed, w=147\",\"Add (0,5)=74 Failed, w=147\",\"Add (0,4)=76 Failed, w=147\",\"Add (1,4)=85 Failed, w=147\",\"Add (0,1)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,60],[0,3,52],[0,4,76],[0,5,74],[1,2,15],[1,3,3],[1,4,85],[1,5,49],[2,3,36],[2,4,57],[2,5,72],[3,4,43],[3,5,38],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=15,(2,3)=36,(3,5)=38,(4,5)=39,(3,4)=43,(1,5)=49,(0,3)=52,(2,4)=57,(0,2)=60,(2,5)=72,(0,5)=74,(0,4)=76,(1,4)=85,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=18\",\"Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=18\",\"Find(3)=1, Find(5)=5, Add (3,5)=38 Succeeded, w=56\",\"Find(4)=4, Find(5)=1, Add (4,5)=39 Succeeded, w=95\",\"Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=95\",\"Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=95\",\"Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=147\",\"Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=147\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=147\",\"Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=147\",\"Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=147\",\"Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=147\",\"Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=147\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,60],[0,3,52],[0,4,76],[0,5,74],[1,2,15],[1,3,3],[1,4,85],[1,5,49],[2,3,36],[2,4,57],[2,5,72],[3,4,43],[3,5,38],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=15,(2,3)=36,(3,5)=38,(4,5)=39,(3,4)=43,(1,5)=49,(0,3)=52,(2,4)=57,(0,2)=60,(2,5)=72,(0,5)=74,(0,4)=76,(1,4)=85,(0,1)=98]\",\"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: 1, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=38 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=39 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=95\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,60],[0,2,27],[0,3,37],[0,4,100],[0,5,82],[0,6,21],[1,2,53],[1,3,16],[1,4,65],[1,5,8],[1,6,75],[2,3,23],[2,4,55],[2,5,99],[2,6,29],[3,4,64],[3,5,10],[3,6,19],[4,5,69],[4,6,55],[5,6,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,27],[0,3,37],[0,4,100],[0,5,82],[0,6,21],[1,2,53],[1,3,16],[1,4,65],[1,5,8],[1,6,75],[2,3,23],[2,4,55],[2,5,99],[2,6,29],[3,4,64],[3,5,10],[3,6,19],[4,5,69],[4,6,55],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,27],[0,3,37],[0,4,100],[0,5,82],[0,6,21],[1,2,53],[1,3,16],[1,4,65],[1,5,8],[1,6,75],[2,3,23],[2,4,55],[2,5,99],[2,6,29],[3,4,64],[3,5,10],[3,6,19],[4,5,69],[4,6,55],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,27],[0,3,37],[0,4,100],[0,5,82],[0,6,21],[1,2,53],[1,3,16],[1,4,65],[1,5,8],[1,6,75],[2,3,23],[2,4,55],[2,5,99],[2,6,29],[3,4,64],[3,5,10],[3,6,19],[4,5,69],[4,6,55],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8, w=8\",\"Add (5,6)=9, w=17\",\"Add (3,5)=10, w=27\",\"Add (0,6)=21, w=48\",\"Add (2,3)=23, w=71\",\"Add (2,4)=55, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,27],[0,3,37],[0,4,100],[0,5,82],[0,6,21],[1,2,53],[1,3,16],[1,4,65],[1,5,8],[1,6,75],[2,3,23],[2,4,55],[2,5,99],[2,6,29],[3,4,64],[3,5,10],[3,6,19],[4,5,69],[4,6,55],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8 Succeeded, w=8\",\"Add (5,6)=9 Succeeded, w=17\",\"Add (3,5)=10 Succeeded, w=27\",\"Add (1,3)=16 Failed, w=27\",\"Add (3,6)=19 Failed, w=27\",\"Add (0,6)=21 Succeeded, w=48\",\"Add (2,3)=23 Succeeded, w=71\",\"Add (0,2)=27 Failed, w=71\",\"Add (2,6)=29 Failed, w=71\",\"Add (0,3)=37 Failed, w=71\",\"Add (1,2)=53 Failed, w=71\",\"Add (2,4)=55 Succeeded, w=126\",\"Add (4,6)=55 Failed, w=126\",\"Add (0,1)=60 Failed, w=126\",\"Add (3,4)=64 Failed, w=126\",\"Add (1,4)=65 Failed, w=126\",\"Add (4,5)=69 Failed, w=126\",\"Add (1,6)=75 Failed, w=126\",\"Add (0,5)=82 Failed, w=126\",\"Add (2,5)=99 Failed, w=126\",\"Add (0,4)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,27],[0,3,37],[0,4,100],[0,5,82],[0,6,21],[1,2,53],[1,3,16],[1,4,65],[1,5,8],[1,6,75],[2,3,23],[2,4,55],[2,5,99],[2,6,29],[3,4,64],[3,5,10],[3,6,19],[4,5,69],[4,6,55],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(5,6)=9,(3,5)=10,(1,3)=16,(3,6)=19,(0,6)=21,(2,3)=23,(0,2)=27,(2,6)=29,(0,3)=37,(1,2)=53,(2,4)=55,(4,6)=55,(0,1)=60,(3,4)=64,(1,4)=65,(4,5)=69,(1,6)=75,(0,5)=82,(2,5)=99,(0,4)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Find(5)=1, Find(6)=6, Add (5,6)=9 Succeeded, w=17\",\"Find(3)=3, Find(5)=1, Add (3,5)=10 Succeeded, w=27\",\"Find(1)=1, Find(3)=1, Add (1,3)=16 Failed, w=27\",\"Find(3)=1, Find(6)=1, Add (3,6)=19 Failed, w=27\",\"Find(0)=0, Find(6)=1, Add (0,6)=21 Succeeded, w=48\",\"Find(2)=2, Find(3)=1, Add (2,3)=23 Succeeded, w=71\",\"Find(0)=1, Find(2)=1, Add (0,2)=27 Failed, w=71\",\"Find(2)=1, Find(6)=1, Add (2,6)=29 Failed, w=71\",\"Find(0)=1, Find(3)=1, Add (0,3)=37 Failed, w=71\",\"Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=71\",\"Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=126\",\"Find(4)=1, Find(6)=1, Add (4,6)=55 Failed, w=126\",\"Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=126\",\"Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=126\",\"Find(1)=1, Find(4)=1, Add (1,4)=65 Failed, w=126\",\"Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=126\",\"Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=126\",\"Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=126\",\"Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=126\",\"Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,27],[0,3,37],[0,4,100],[0,5,82],[0,6,21],[1,2,53],[1,3,16],[1,4,65],[1,5,8],[1,6,75],[2,3,23],[2,4,55],[2,5,99],[2,6,29],[3,4,64],[3,5,10],[3,6,19],[4,5,69],[4,6,55],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(5,6)=9,(3,5)=10,(1,3)=16,(3,6)=19,(0,6)=21,(2,3)=23,(0,2)=27,(2,6)=29,(0,3)=37,(1,2)=53,(2,4)=55,(4,6)=55,(0,1)=60,(3,4)=64,(1,4)=65,(4,5)=69,(1,6)=75,(0,5)=82,(2,5)=99,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=3, Find(5)=1, Add (3,5)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=16 Failed, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=19 Failed, w=27\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=21 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=2, Find(3)=1, Add (2,3)=23 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=27 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=29 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=37 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=55 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=65 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,72],[0,2,97],[0,3,23],[0,5,22],[1,3,67],[1,4,22],[1,5,45],[2,3,20],[3,6,36],[4,5,93],[4,6,54],[5,6,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,97],[0,3,23],[0,5,22],[1,3,67],[1,4,22],[1,5,45],[2,3,20],[3,6,36],[4,5,93],[4,6,54],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"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],[0,2,97],[0,3,23],[0,5,22],[1,3,67],[1,4,22],[1,5,45],[2,3,20],[3,6,36],[4,5,93],[4,6,54],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (5,6)\",\"Add (1,5)\"],\"Answer\":159}",
"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],[0,2,97],[0,3,23],[0,5,22],[1,3,67],[1,4,22],[1,5,45],[2,3,20],[3,6,36],[4,5,93],[4,6,54],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20, w=20\",\"Add (0,5)=22, w=42\",\"Add (1,4)=22, w=64\",\"Add (0,3)=23, w=87\",\"Add (5,6)=27, w=114\",\"Add (1,5)=45, w=159\"],\"Answer\":159}",
"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],[0,2,97],[0,3,23],[0,5,22],[1,3,67],[1,4,22],[1,5,45],[2,3,20],[3,6,36],[4,5,93],[4,6,54],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20 Succeeded, w=20\",\"Add (0,5)=22 Succeeded, w=42\",\"Add (1,4)=22 Succeeded, w=64\",\"Add (0,3)=23 Succeeded, w=87\",\"Add (5,6)=27 Succeeded, w=114\",\"Add (3,6)=36 Failed, w=114\",\"Add (1,5)=45 Succeeded, w=159\",\"Add (4,6)=54 Failed, w=159\",\"Add (1,3)=67 Failed, w=159\",\"Add (0,1)=72 Failed, w=159\",\"Add (4,5)=93 Failed, w=159\",\"Add (0,2)=97 Failed, w=159\"],\"Answer\":159}",
"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],[0,2,97],[0,3,23],[0,5,22],[1,3,67],[1,4,22],[1,5,45],[2,3,20],[3,6,36],[4,5,93],[4,6,54],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(0,5)=22,(1,4)=22,(0,3)=23,(5,6)=27,(3,6)=36,(1,5)=45,(4,6)=54,(1,3)=67,(0,1)=72,(4,5)=93,(0,2)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=42\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=64\",\"Find(0)=0, Find(3)=2, Add (0,3)=23 Succeeded, w=87\",\"Find(5)=0, Find(6)=6, Add (5,6)=27 Succeeded, w=114\",\"Find(3)=0, Find(6)=0, Add (3,6)=36 Failed, w=114\",\"Find(1)=1, Find(5)=0, Add (1,5)=45 Succeeded, w=159\",\"Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=159\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=159\",\"Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=159\",\"Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=159\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=159\"],\"Answer\":159}",
"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],[0,2,97],[0,3,23],[0,5,22],[1,3,67],[1,4,22],[1,5,45],[2,3,20],[3,6,36],[4,5,93],[4,6,54],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(0,5)=22,(1,4)=22,(0,3)=23,(5,6)=27,(3,6)=36,(1,5)=45,(4,6)=54,(1,3)=67,(0,1)=72,(4,5)=93,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 1, 5: 0, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=23 Succeeded, w=87\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 1, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=27 Succeeded, w=114\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=36 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=1, Find(5)=0, Add (1,5)=45 Succeeded, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.