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":[[0,1,82],[0,2,29],[0,3,39],[1,2,72],[1,3,9],[2,3,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,29],[0,3,39],[1,2,72],[1,3,9],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,29],[0,3,39],[1,2,72],[1,3,9],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,29],[0,3,39],[1,2,72],[1,3,9],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (0,2)=29, w=38\",\"Add (0,3)=39, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,29],[0,3,39],[1,2,72],[1,3,9],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (0,2)=29 Succeeded, w=38\",\"Add (0,3)=39 Succeeded, w=77\",\"Add (1,2)=72 Failed, w=77\",\"Add (2,3)=75 Failed, w=77\",\"Add (0,1)=82 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,29],[0,3,39],[1,2,72],[1,3,9],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(0,2)=29,(0,3)=39,(1,2)=72,(2,3)=75,(0,1)=82]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=38\",\"Find(0)=0, Find(3)=1, Add (0,3)=39 Succeeded, w=77\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=77\",\"Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=77\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,29],[0,3,39],[1,2,72],[1,3,9],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(0,2)=29,(0,3)=39,(1,2)=72,(2,3)=75,(0,1)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=39 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,47],[0,2,42],[0,5,0],[1,2,55],[1,5,61],[1,6,52],[2,3,2],[2,4,26],[3,4,69],[5,6,65]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,42],[0,5,0],[1,2,55],[1,5,61],[1,6,52],[2,3,2],[2,4,26],[3,4,69],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,42],[0,5,0],[1,2,55],[1,5,61],[1,6,52],[2,3,2],[2,4,26],[3,4,69],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (1,6)\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,42],[0,5,0],[1,2,55],[1,5,61],[1,6,52],[2,3,2],[2,4,26],[3,4,69],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (2,3)=2, w=2\",\"Add (2,4)=26, w=28\",\"Add (0,2)=42, w=70\",\"Add (0,1)=47, w=117\",\"Add (1,6)=52, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,42],[0,5,0],[1,2,55],[1,5,61],[1,6,52],[2,3,2],[2,4,26],[3,4,69],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (2,3)=2 Succeeded, w=2\",\"Add (2,4)=26 Succeeded, w=28\",\"Add (0,2)=42 Succeeded, w=70\",\"Add (0,1)=47 Succeeded, w=117\",\"Add (1,6)=52 Succeeded, w=169\",\"Add (1,2)=55 Failed, w=169\",\"Add (1,5)=61 Failed, w=169\",\"Add (5,6)=65 Failed, w=169\",\"Add (3,4)=69 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,42],[0,5,0],[1,2,55],[1,5,61],[1,6,52],[2,3,2],[2,4,26],[3,4,69],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,3)=2,(2,4)=26,(0,2)=42,(0,1)=47,(1,6)=52,(1,2)=55,(1,5)=61,(5,6)=65,(3,4)=69]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=70\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=117\",\"Find(1)=0, Find(6)=6, Add (1,6)=52 Succeeded, w=169\",\"Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=169\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=169\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=169\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,42],[0,5,0],[1,2,55],[1,5,61],[1,6,52],[2,3,2],[2,4,26],[3,4,69],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,3)=2,(2,4)=26,(0,2)=42,(0,1)=47,(1,6)=52,(1,2)=55,(1,5)=61,(5,6)=65,(3,4)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 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: 0, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 2, 5: 0, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=52 Succeeded, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,4,70],[0,5,3],[1,2,98],[1,3,98],[1,5,40],[2,3,67],[3,4,49],[3,5,61],[4,5,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,70],[0,5,3],[1,2,98],[1,3,98],[1,5,40],[2,3,67],[3,4,49],[3,5,61],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,70],[0,5,3],[1,2,98],[1,3,98],[1,5,40],[2,3,67],[3,4,49],[3,5,61],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (2,3)\"],\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,70],[0,5,3],[1,2,98],[1,3,98],[1,5,40],[2,3,67],[3,4,49],[3,5,61],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (0,1)=33, w=36\",\"Add (3,4)=49, w=85\",\"Add (3,5)=61, w=146\",\"Add (2,3)=67, w=213\"],\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,70],[0,5,3],[1,2,98],[1,3,98],[1,5,40],[2,3,67],[3,4,49],[3,5,61],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (0,1)=33 Succeeded, w=36\",\"Add (1,5)=40 Failed, w=36\",\"Add (3,4)=49 Succeeded, w=85\",\"Add (3,5)=61 Succeeded, w=146\",\"Add (2,3)=67 Succeeded, w=213\",\"Add (0,4)=70 Failed, w=213\",\"Add (4,5)=78 Failed, w=213\",\"Add (1,2)=98 Failed, w=213\",\"Add (1,3)=98 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,70],[0,5,3],[1,2,98],[1,3,98],[1,5,40],[2,3,67],[3,4,49],[3,5,61],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(0,1)=33,(1,5)=40,(3,4)=49,(3,5)=61,(2,3)=67,(0,4)=70,(4,5)=78,(1,2)=98,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=36\",\"Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=36\",\"Find(3)=3, Find(4)=4, Add (3,4)=49 Succeeded, w=85\",\"Find(3)=3, Find(5)=0, Add (3,5)=61 Succeeded, w=146\",\"Find(2)=2, Find(3)=3, Add (2,3)=67 Succeeded, w=213\",\"Find(0)=3, Find(4)=3, Add (0,4)=70 Failed, w=213\",\"Find(4)=3, Find(5)=3, Add (4,5)=78 Failed, w=213\",\"Find(1)=3, Find(2)=3, Add (1,2)=98 Failed, w=213\",\"Find(1)=3, Find(3)=3, Add (1,3)=98 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,70],[0,5,3],[1,2,98],[1,3,98],[1,5,40],[2,3,67],[3,4,49],[3,5,61],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(0,1)=33,(1,5)=40,(3,4)=49,(3,5)=61,(2,3)=67,(0,4)=70,(4,5)=78,(1,2)=98,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=49 Succeeded, w=85\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=61 Succeeded, w=146\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=67 Succeeded, w=213\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(4)=3, Add (0,4)=70 Failed, w=213\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=78 Failed, w=213\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=98 Failed, w=213\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=98 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,61],[0,2,97],[0,3,71],[0,4,86],[1,2,19],[1,3,3],[1,4,15],[2,3,22],[2,4,26],[3,4,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,97],[0,3,71],[0,4,86],[1,2,19],[1,3,3],[1,4,15],[2,3,22],[2,4,26],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,97],[0,3,71],[0,4,86],[1,2,19],[1,3,3],[1,4,15],[2,3,22],[2,4,26],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,97],[0,3,71],[0,4,86],[1,2,19],[1,3,3],[1,4,15],[2,3,22],[2,4,26],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (1,4)=15, w=18\",\"Add (1,2)=19, w=37\",\"Add (0,1)=61, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,97],[0,3,71],[0,4,86],[1,2,19],[1,3,3],[1,4,15],[2,3,22],[2,4,26],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (1,4)=15 Succeeded, w=18\",\"Add (1,2)=19 Succeeded, w=37\",\"Add (2,3)=22 Failed, w=37\",\"Add (2,4)=26 Failed, w=37\",\"Add (3,4)=41 Failed, w=37\",\"Add (0,1)=61 Succeeded, w=98\",\"Add (0,3)=71 Failed, w=98\",\"Add (0,4)=86 Failed, w=98\",\"Add (0,2)=97 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,97],[0,3,71],[0,4,86],[1,2,19],[1,3,3],[1,4,15],[2,3,22],[2,4,26],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,4)=15,(1,2)=19,(2,3)=22,(2,4)=26,(3,4)=41,(0,1)=61,(0,3)=71,(0,4)=86,(0,2)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=37\",\"Find(2)=1, Find(3)=1, Add (2,3)=22 Failed, w=37\",\"Find(2)=1, Find(4)=1, Add (2,4)=26 Failed, w=37\",\"Find(3)=1, Find(4)=1, Add (3,4)=41 Failed, w=37\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=98\",\"Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=98\",\"Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=98\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,97],[0,3,71],[0,4,86],[1,2,19],[1,3,3],[1,4,15],[2,3,22],[2,4,26],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,4)=15,(1,2)=19,(2,3)=22,(2,4)=26,(3,4)=41,(0,1)=61,(0,3)=71,(0,4)=86,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=22 Failed, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=26 Failed, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=41 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,51],[0,2,28],[0,3,85],[1,2,10],[1,3,68],[2,3,75],[2,4,37],[3,4,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,28],[0,3,85],[1,2,10],[1,3,68],[2,3,75],[2,4,37],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,28],[0,3,85],[1,2,10],[1,3,68],[2,3,75],[2,4,37],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,28],[0,3,85],[1,2,10],[1,3,68],[2,3,75],[2,4,37],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (0,2)=28, w=38\",\"Add (2,4)=37, w=75\",\"Add (1,3)=68, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,28],[0,3,85],[1,2,10],[1,3,68],[2,3,75],[2,4,37],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (0,2)=28 Succeeded, w=38\",\"Add (2,4)=37 Succeeded, w=75\",\"Add (0,1)=51 Failed, w=75\",\"Add (1,3)=68 Succeeded, w=143\",\"Add (2,3)=75 Failed, w=143\",\"Add (0,3)=85 Failed, w=143\",\"Add (3,4)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,28],[0,3,85],[1,2,10],[1,3,68],[2,3,75],[2,4,37],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,2)=28,(2,4)=37,(0,1)=51,(1,3)=68,(2,3)=75,(0,3)=85,(3,4)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=38\",\"Find(2)=1, Find(4)=4, Add (2,4)=37 Succeeded, w=75\",\"Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=75\",\"Find(1)=1, Find(3)=3, Add (1,3)=68 Succeeded, w=143\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=143\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=143\",\"Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,28],[0,3,85],[1,2,10],[1,3,68],[2,3,75],[2,4,37],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,2)=28,(2,4)=37,(0,1)=51,(1,3)=68,(2,3)=75,(0,3)=85,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=37 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=68 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,97],[0,2,57],[0,3,52],[0,4,45],[1,2,62],[1,3,81],[1,5,64],[2,3,48],[2,4,72],[3,4,49],[3,5,77],[4,5,82]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,57],[0,3,52],[0,4,45],[1,2,62],[1,3,81],[1,5,64],[2,3,48],[2,4,72],[3,4,49],[3,5,77],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":268}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,57],[0,3,52],[0,4,45],[1,2,62],[1,3,81],[1,5,64],[2,3,48],[2,4,72],[3,4,49],[3,5,77],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,5)\"],\"Answer\":268}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,57],[0,3,52],[0,4,45],[1,2,62],[1,3,81],[1,5,64],[2,3,48],[2,4,72],[3,4,49],[3,5,77],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=45, w=45\",\"Add (2,3)=48, w=93\",\"Add (3,4)=49, w=142\",\"Add (1,2)=62, w=204\",\"Add (1,5)=64, w=268\"],\"Answer\":268}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,57],[0,3,52],[0,4,45],[1,2,62],[1,3,81],[1,5,64],[2,3,48],[2,4,72],[3,4,49],[3,5,77],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=45 Succeeded, w=45\",\"Add (2,3)=48 Succeeded, w=93\",\"Add (3,4)=49 Succeeded, w=142\",\"Add (0,3)=52 Failed, w=142\",\"Add (0,2)=57 Failed, w=142\",\"Add (1,2)=62 Succeeded, w=204\",\"Add (1,5)=64 Succeeded, w=268\",\"Add (2,4)=72 Failed, w=268\",\"Add (3,5)=77 Failed, w=268\",\"Add (1,3)=81 Failed, w=268\",\"Add (4,5)=82 Failed, w=268\",\"Add (0,1)=97 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,57],[0,3,52],[0,4,45],[1,2,62],[1,3,81],[1,5,64],[2,3,48],[2,4,72],[3,4,49],[3,5,77],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=45,(2,3)=48,(3,4)=49,(0,3)=52,(0,2)=57,(1,2)=62,(1,5)=64,(2,4)=72,(3,5)=77,(1,3)=81,(4,5)=82,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=45 Succeeded, w=45\",\"Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=93\",\"Find(3)=2, Find(4)=0, Add (3,4)=49 Succeeded, w=142\",\"Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=142\",\"Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=142\",\"Find(1)=1, Find(2)=2, Add (1,2)=62 Succeeded, w=204\",\"Find(1)=2, Find(5)=5, Add (1,5)=64 Succeeded, w=268\",\"Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=268\",\"Find(3)=2, Find(5)=2, Add (3,5)=77 Failed, w=268\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=268\",\"Find(4)=2, Find(5)=2, Add (4,5)=82 Failed, w=268\",\"Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,57],[0,3,52],[0,4,45],[1,2,62],[1,3,81],[1,5,64],[2,3,48],[2,4,72],[3,4,49],[3,5,77],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=45,(2,3)=48,(3,4)=49,(0,3)=52,(0,2)=57,(1,2)=62,(1,5)=64,(2,4)=72,(3,5)=77,(1,3)=81,(4,5)=82,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=93\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(3)=2, Find(4)=0, Add (3,4)=49 Succeeded, w=142\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=142\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=62 Succeeded, w=204\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=64 Succeeded, w=268\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=268\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=77 Failed, w=268\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=268\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=82 Failed, w=268\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,45],[0,3,52],[0,4,69],[0,6,35],[1,2,44],[1,4,98],[2,3,7],[2,4,90],[2,5,75],[2,6,100],[3,4,6],[3,5,31],[3,6,53],[4,5,48],[4,6,3],[5,6,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,3,52],[0,4,69],[0,6,35],[1,2,44],[1,4,98],[2,3,7],[2,4,90],[2,5,75],[2,6,100],[3,4,6],[3,5,31],[3,6,53],[4,5,48],[4,6,3],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,3,52],[0,4,69],[0,6,35],[1,2,44],[1,4,98],[2,3,7],[2,4,90],[2,5,75],[2,6,100],[3,4,6],[3,5,31],[3,6,53],[4,5,48],[4,6,3],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (1,2)\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,3,52],[0,4,69],[0,6,35],[1,2,44],[1,4,98],[2,3,7],[2,4,90],[2,5,75],[2,6,100],[3,4,6],[3,5,31],[3,6,53],[4,5,48],[4,6,3],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (4,6)=3, w=3\",\"Add (3,4)=6, w=9\",\"Add (2,3)=7, w=16\",\"Add (0,6)=35, w=51\",\"Add (1,2)=44, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,3,52],[0,4,69],[0,6,35],[1,2,44],[1,4,98],[2,3,7],[2,4,90],[2,5,75],[2,6,100],[3,4,6],[3,5,31],[3,6,53],[4,5,48],[4,6,3],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (4,6)=3 Succeeded, w=3\",\"Add (3,4)=6 Succeeded, w=9\",\"Add (2,3)=7 Succeeded, w=16\",\"Add (3,5)=31 Failed, w=16\",\"Add (0,6)=35 Succeeded, w=51\",\"Add (1,2)=44 Succeeded, w=95\",\"Add (0,2)=45 Failed, w=95\",\"Add (4,5)=48 Failed, w=95\",\"Add (0,3)=52 Failed, w=95\",\"Add (3,6)=53 Failed, w=95\",\"Add (0,4)=69 Failed, w=95\",\"Add (2,5)=75 Failed, w=95\",\"Add (2,4)=90 Failed, w=95\",\"Add (1,4)=98 Failed, w=95\",\"Add (2,6)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,3,52],[0,4,69],[0,6,35],[1,2,44],[1,4,98],[2,3,7],[2,4,90],[2,5,75],[2,6,100],[3,4,6],[3,5,31],[3,6,53],[4,5,48],[4,6,3],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(4,6)=3,(3,4)=6,(2,3)=7,(3,5)=31,(0,6)=35,(1,2)=44,(0,2)=45,(4,5)=48,(0,3)=52,(3,6)=53,(0,4)=69,(2,5)=75,(2,4)=90,(1,4)=98,(2,6)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=5, Add (4,6)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=5, Add (3,4)=6 Succeeded, w=9\",\"Find(2)=2, Find(3)=5, Add (2,3)=7 Succeeded, w=16\",\"Find(3)=5, Find(5)=5, Add (3,5)=31 Failed, w=16\",\"Find(0)=0, Find(6)=5, Add (0,6)=35 Succeeded, w=51\",\"Find(1)=1, Find(2)=5, Add (1,2)=44 Succeeded, w=95\",\"Find(0)=5, Find(2)=5, Add (0,2)=45 Failed, w=95\",\"Find(4)=5, Find(5)=5, Add (4,5)=48 Failed, w=95\",\"Find(0)=5, Find(3)=5, Add (0,3)=52 Failed, w=95\",\"Find(3)=5, Find(6)=5, Add (3,6)=53 Failed, w=95\",\"Find(0)=5, Find(4)=5, Add (0,4)=69 Failed, w=95\",\"Find(2)=5, Find(5)=5, Add (2,5)=75 Failed, w=95\",\"Find(2)=5, Find(4)=5, Add (2,4)=90 Failed, w=95\",\"Find(1)=5, Find(4)=5, Add (1,4)=98 Failed, w=95\",\"Find(2)=5, Find(6)=5, Add (2,6)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,3,52],[0,4,69],[0,6,35],[1,2,44],[1,4,98],[2,3,7],[2,4,90],[2,5,75],[2,6,100],[3,4,6],[3,5,31],[3,6,53],[4,5,48],[4,6,3],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(4,6)=3,(3,4)=6,(2,3)=7,(3,5)=31,(0,6)=35,(1,2)=44,(0,2)=45,(4,5)=48,(0,3)=52,(3,6)=53,(0,4)=69,(2,5)=75,(2,4)=90,(1,4)=98,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(6)=5, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=3, Find(4)=5, Add (3,4)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=2, Find(3)=5, Add (2,3)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=31 Failed, w=16\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=35 Succeeded, w=51\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=1, Find(2)=5, Add (1,2)=44 Succeeded, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(2)=5, Add (0,2)=45 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=48 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=52 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=53 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=69 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=75 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=90 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=5, Add (1,4)=98 Failed, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,54],[0,2,66],[0,3,97],[0,5,67],[0,6,88],[1,2,78],[1,3,41],[1,4,19],[1,5,53],[2,4,53],[2,5,88],[3,4,35],[3,5,76],[4,5,60],[4,6,28],[5,6,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,66],[0,3,97],[0,5,67],[0,6,88],[1,2,78],[1,3,41],[1,4,19],[1,5,53],[2,4,53],[2,5,88],[3,4,35],[3,5,76],[4,5,60],[4,6,28],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":231}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,66],[0,3,97],[0,5,67],[0,6,88],[1,2,78],[1,3,41],[1,4,19],[1,5,53],[2,4,53],[2,5,88],[3,4,35],[3,5,76],[4,5,60],[4,6,28],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":231}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,66],[0,3,97],[0,5,67],[0,6,88],[1,2,78],[1,3,41],[1,4,19],[1,5,53],[2,4,53],[2,5,88],[3,4,35],[3,5,76],[4,5,60],[4,6,28],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=19, w=19\",\"Add (4,6)=28, w=47\",\"Add (3,4)=35, w=82\",\"Add (5,6)=42, w=124\",\"Add (2,4)=53, w=177\",\"Add (0,1)=54, w=231\"],\"Answer\":231}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,66],[0,3,97],[0,5,67],[0,6,88],[1,2,78],[1,3,41],[1,4,19],[1,5,53],[2,4,53],[2,5,88],[3,4,35],[3,5,76],[4,5,60],[4,6,28],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=19 Succeeded, w=19\",\"Add (4,6)=28 Succeeded, w=47\",\"Add (3,4)=35 Succeeded, w=82\",\"Add (1,3)=41 Failed, w=82\",\"Add (5,6)=42 Succeeded, w=124\",\"Add (1,5)=53 Failed, w=124\",\"Add (2,4)=53 Succeeded, w=177\",\"Add (0,1)=54 Succeeded, w=231\",\"Add (4,5)=60 Failed, w=231\",\"Add (0,2)=66 Failed, w=231\",\"Add (0,5)=67 Failed, w=231\",\"Add (3,5)=76 Failed, w=231\",\"Add (1,2)=78 Failed, w=231\",\"Add (0,6)=88 Failed, w=231\",\"Add (2,5)=88 Failed, w=231\",\"Add (0,3)=97 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,66],[0,3,97],[0,5,67],[0,6,88],[1,2,78],[1,3,41],[1,4,19],[1,5,53],[2,4,53],[2,5,88],[3,4,35],[3,5,76],[4,5,60],[4,6,28],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=19,(4,6)=28,(3,4)=35,(1,3)=41,(5,6)=42,(1,5)=53,(2,4)=53,(0,1)=54,(4,5)=60,(0,2)=66,(0,5)=67,(3,5)=76,(1,2)=78,(0,6)=88,(2,5)=88,(0,3)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=19\",\"Find(4)=1, Find(6)=6, Add (4,6)=28 Succeeded, w=47\",\"Find(3)=3, Find(4)=1, Add (3,4)=35 Succeeded, w=82\",\"Find(1)=1, Find(3)=1, Add (1,3)=41 Failed, w=82\",\"Find(5)=5, Find(6)=1, Add (5,6)=42 Succeeded, w=124\",\"Find(1)=1, Find(5)=1, Add (1,5)=53 Failed, w=124\",\"Find(2)=2, Find(4)=1, Add (2,4)=53 Succeeded, w=177\",\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=231\",\"Find(4)=1, Find(5)=1, Add (4,5)=60 Failed, w=231\",\"Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=231\",\"Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=231\",\"Find(3)=1, Find(5)=1, Add (3,5)=76 Failed, w=231\",\"Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=231\",\"Find(0)=1, Find(6)=1, Add (0,6)=88 Failed, w=231\",\"Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=231\",\"Find(0)=1, Find(3)=1, Add (0,3)=97 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,66],[0,3,97],[0,5,67],[0,6,88],[1,2,78],[1,3,41],[1,4,19],[1,5,53],[2,4,53],[2,5,88],[3,4,35],[3,5,76],[4,5,60],[4,6,28],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=19,(4,6)=28,(3,4)=35,(1,3)=41,(5,6)=42,(1,5)=53,(2,4)=53,(0,1)=54,(4,5)=60,(0,2)=66,(0,5)=67,(3,5)=76,(1,2)=78,(0,6)=88,(2,5)=88,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=28 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=3, Find(4)=1, Add (3,4)=35 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=41 Failed, w=82\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=42 Succeeded, w=124\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=53 Failed, w=124\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=53 Succeeded, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=60 Failed, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=76 Failed, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=88 Failed, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=97 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,31],[0,2,79],[0,3,69],[0,4,14],[0,5,97],[0,7,94],[1,2,72],[1,3,58],[1,4,78],[1,5,49],[1,7,87],[2,4,0],[2,5,93],[2,6,69],[2,7,58],[3,7,59],[4,5,35],[5,6,15],[5,7,29],[6,7,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,79],[0,3,69],[0,4,14],[0,5,97],[0,7,94],[1,2,72],[1,3,58],[1,4,78],[1,5,49],[1,7,87],[2,4,0],[2,5,93],[2,6,69],[2,7,58],[3,7,59],[4,5,35],[5,6,15],[5,7,29],[6,7,56]]}",
"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\":[[0,1,31],[0,2,79],[0,3,69],[0,4,14],[0,5,97],[0,7,94],[1,2,72],[1,3,58],[1,4,78],[1,5,49],[1,7,87],[2,4,0],[2,5,93],[2,6,69],[2,7,58],[3,7,59],[4,5,35],[5,6,15],[5,7,29],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (5,7)\",\"Add (0,1)\",\"Add (4,5)\",\"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\":[[0,1,31],[0,2,79],[0,3,69],[0,4,14],[0,5,97],[0,7,94],[1,2,72],[1,3,58],[1,4,78],[1,5,49],[1,7,87],[2,4,0],[2,5,93],[2,6,69],[2,7,58],[3,7,59],[4,5,35],[5,6,15],[5,7,29],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (0,4)=14, w=14\",\"Add (5,6)=15, w=29\",\"Add (5,7)=29, w=58\",\"Add (0,1)=31, w=89\",\"Add (4,5)=35, w=124\",\"Add (1,3)=58, 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\":[[0,1,31],[0,2,79],[0,3,69],[0,4,14],[0,5,97],[0,7,94],[1,2,72],[1,3,58],[1,4,78],[1,5,49],[1,7,87],[2,4,0],[2,5,93],[2,6,69],[2,7,58],[3,7,59],[4,5,35],[5,6,15],[5,7,29],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (0,4)=14 Succeeded, w=14\",\"Add (5,6)=15 Succeeded, w=29\",\"Add (5,7)=29 Succeeded, w=58\",\"Add (0,1)=31 Succeeded, w=89\",\"Add (4,5)=35 Succeeded, w=124\",\"Add (1,5)=49 Failed, w=124\",\"Add (6,7)=56 Failed, w=124\",\"Add (1,3)=58 Succeeded, w=182\",\"Add (2,7)=58 Failed, w=182\",\"Add (3,7)=59 Failed, w=182\",\"Add (0,3)=69 Failed, w=182\",\"Add (2,6)=69 Failed, w=182\",\"Add (1,2)=72 Failed, w=182\",\"Add (1,4)=78 Failed, w=182\",\"Add (0,2)=79 Failed, w=182\",\"Add (1,7)=87 Failed, w=182\",\"Add (2,5)=93 Failed, w=182\",\"Add (0,7)=94 Failed, w=182\",\"Add (0,5)=97 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,79],[0,3,69],[0,4,14],[0,5,97],[0,7,94],[1,2,72],[1,3,58],[1,4,78],[1,5,49],[1,7,87],[2,4,0],[2,5,93],[2,6,69],[2,7,58],[3,7,59],[4,5,35],[5,6,15],[5,7,29],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,4)=14,(5,6)=15,(5,7)=29,(0,1)=31,(4,5)=35,(1,5)=49,(6,7)=56,(1,3)=58,(2,7)=58,(3,7)=59,(0,3)=69,(2,6)=69,(1,2)=72,(1,4)=78,(0,2)=79,(1,7)=87,(2,5)=93,(0,7)=94,(0,5)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=2, Add (0,4)=14 Succeeded, w=14\",\"Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=29\",\"Find(5)=5, Find(7)=7, Add (5,7)=29 Succeeded, w=58\",\"Find(0)=2, Find(1)=1, Add (0,1)=31 Succeeded, w=89\",\"Find(4)=2, Find(5)=5, Add (4,5)=35 Succeeded, w=124\",\"Find(1)=2, Find(5)=2, Add (1,5)=49 Failed, w=124\",\"Find(6)=2, Find(7)=2, Add (6,7)=56 Failed, w=124\",\"Find(1)=2, Find(3)=3, Add (1,3)=58 Succeeded, w=182\",\"Find(2)=2, Find(7)=2, Add (2,7)=58 Failed, w=182\",\"Find(3)=2, Find(7)=2, Add (3,7)=59 Failed, w=182\",\"Find(0)=2, Find(3)=2, Add (0,3)=69 Failed, w=182\",\"Find(2)=2, Find(6)=2, Add (2,6)=69 Failed, w=182\",\"Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=182\",\"Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=182\",\"Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=182\",\"Find(1)=2, Find(7)=2, Add (1,7)=87 Failed, w=182\",\"Find(2)=2, Find(5)=2, Add (2,5)=93 Failed, w=182\",\"Find(0)=2, Find(7)=2, Add (0,7)=94 Failed, w=182\",\"Find(0)=2, Find(5)=2, Add (0,5)=97 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,79],[0,3,69],[0,4,14],[0,5,97],[0,7,94],[1,2,72],[1,3,58],[1,4,78],[1,5,49],[1,7,87],[2,4,0],[2,5,93],[2,6,69],[2,7,58],[3,7,59],[4,5,35],[5,6,15],[5,7,29],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,4)=14,(5,6)=15,(5,7)=29,(0,1)=31,(4,5)=35,(1,5)=49,(6,7)=56,(1,3)=58,(2,7)=58,(3,7)=59,(0,3)=69,(2,6)=69,(1,2)=72,(1,4)=78,(0,2)=79,(1,7)=87,(2,5)=93,(0,7)=94,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=14 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=29 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=2, Find(1)=1, Add (0,1)=31 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 5, 7: 5}, Find(4)=2, Find(5)=5, Add (4,5)=35 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 5, 7: 5}, Find(1)=2, Find(5)=2, Add (1,5)=49 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=56 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=3, Add (1,3)=58 Succeeded, w=182\",\"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)=58 Failed, w=182\",\"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)=59 Failed, w=182\",\"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)=69 Failed, w=182\",\"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)=69 Failed, w=182\",\"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=182\",\"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)=78 Failed, w=182\",\"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)=79 Failed, w=182\",\"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)=87 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=93 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=94 Failed, w=182\",\"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)=97 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,2,81],[0,3,34],[0,4,34],[1,2,79],[1,3,6],[1,4,21],[2,3,62],[2,4,82],[3,4,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,81],[0,3,34],[0,4,34],[1,2,79],[1,3,6],[1,4,21],[2,3,62],[2,4,82],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,81],[0,3,34],[0,4,34],[1,2,79],[1,3,6],[1,4,21],[2,3,62],[2,4,82],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,81],[0,3,34],[0,4,34],[1,2,79],[1,3,6],[1,4,21],[2,3,62],[2,4,82],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (3,4)=11, w=17\",\"Add (0,3)=34, w=51\",\"Add (2,3)=62, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,81],[0,3,34],[0,4,34],[1,2,79],[1,3,6],[1,4,21],[2,3,62],[2,4,82],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (3,4)=11 Succeeded, w=17\",\"Add (1,4)=21 Failed, w=17\",\"Add (0,3)=34 Succeeded, w=51\",\"Add (0,4)=34 Failed, w=51\",\"Add (2,3)=62 Succeeded, w=113\",\"Add (0,1)=77 Failed, w=113\",\"Add (1,2)=79 Failed, w=113\",\"Add (0,2)=81 Failed, w=113\",\"Add (2,4)=82 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,81],[0,3,34],[0,4,34],[1,2,79],[1,3,6],[1,4,21],[2,3,62],[2,4,82],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(3,4)=11,(1,4)=21,(0,3)=34,(0,4)=34,(2,3)=62,(0,1)=77,(1,2)=79,(0,2)=81,(2,4)=82]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(3)=1, Find(4)=4, Add (3,4)=11 Succeeded, w=17\",\"Find(1)=1, Find(4)=1, Add (1,4)=21 Failed, w=17\",\"Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=51\",\"Find(0)=1, Find(4)=1, Add (0,4)=34 Failed, w=51\",\"Find(2)=2, Find(3)=1, Add (2,3)=62 Succeeded, w=113\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=113\",\"Find(1)=1, Find(2)=1, Add (1,2)=79 Failed, w=113\",\"Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=113\",\"Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,81],[0,3,34],[0,4,34],[1,2,79],[1,3,6],[1,4,21],[2,3,62],[2,4,82],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(3,4)=11,(1,4)=21,(0,3)=34,(0,4)=34,(2,3)=62,(0,1)=77,(1,2)=79,(0,2)=81,(2,4)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=21 Failed, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=34 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=62 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=79 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,2,81],[0,3,82],[0,4,26],[0,5,79],[1,2,92],[1,3,45],[1,4,91],[1,5,25],[2,3,23],[2,5,33],[3,4,64],[3,5,55],[4,5,82]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,81],[0,3,82],[0,4,26],[0,5,79],[1,2,92],[1,3,45],[1,4,91],[1,5,25],[2,3,23],[2,5,33],[3,4,64],[3,5,55],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,81],[0,3,82],[0,4,26],[0,5,79],[1,2,92],[1,3,45],[1,4,91],[1,5,25],[2,3,23],[2,5,33],[3,4,64],[3,5,55],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,81],[0,3,82],[0,4,26],[0,5,79],[1,2,92],[1,3,45],[1,4,91],[1,5,25],[2,3,23],[2,5,33],[3,4,64],[3,5,55],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23, w=23\",\"Add (1,5)=25, w=48\",\"Add (0,4)=26, w=74\",\"Add (2,5)=33, w=107\",\"Add (0,1)=50, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,81],[0,3,82],[0,4,26],[0,5,79],[1,2,92],[1,3,45],[1,4,91],[1,5,25],[2,3,23],[2,5,33],[3,4,64],[3,5,55],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23 Succeeded, w=23\",\"Add (1,5)=25 Succeeded, w=48\",\"Add (0,4)=26 Succeeded, w=74\",\"Add (2,5)=33 Succeeded, w=107\",\"Add (1,3)=45 Failed, w=107\",\"Add (0,1)=50 Succeeded, w=157\",\"Add (3,5)=55 Failed, w=157\",\"Add (3,4)=64 Failed, w=157\",\"Add (0,5)=79 Failed, w=157\",\"Add (0,2)=81 Failed, w=157\",\"Add (0,3)=82 Failed, w=157\",\"Add (4,5)=82 Failed, w=157\",\"Add (1,4)=91 Failed, w=157\",\"Add (1,2)=92 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,81],[0,3,82],[0,4,26],[0,5,79],[1,2,92],[1,3,45],[1,4,91],[1,5,25],[2,3,23],[2,5,33],[3,4,64],[3,5,55],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(1,5)=25,(0,4)=26,(2,5)=33,(1,3)=45,(0,1)=50,(3,5)=55,(3,4)=64,(0,5)=79,(0,2)=81,(0,3)=82,(4,5)=82,(1,4)=91,(1,2)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Find(1)=1, Find(5)=5, Add (1,5)=25 Succeeded, w=48\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=74\",\"Find(2)=2, Find(5)=1, Add (2,5)=33 Succeeded, w=107\",\"Find(1)=2, Find(3)=2, Add (1,3)=45 Failed, w=107\",\"Find(0)=0, Find(1)=2, Add (0,1)=50 Succeeded, w=157\",\"Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=157\",\"Find(3)=2, Find(4)=2, Add (3,4)=64 Failed, w=157\",\"Find(0)=2, Find(5)=2, Add (0,5)=79 Failed, w=157\",\"Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=157\",\"Find(0)=2, Find(3)=2, Add (0,3)=82 Failed, w=157\",\"Find(4)=2, Find(5)=2, Add (4,5)=82 Failed, w=157\",\"Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=157\",\"Find(1)=2, Find(2)=2, Add (1,2)=92 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,81],[0,3,82],[0,4,26],[0,5,79],[1,2,92],[1,3,45],[1,4,91],[1,5,25],[2,3,23],[2,5,33],[3,4,64],[3,5,55],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(1,5)=25,(0,4)=26,(2,5)=33,(1,3)=45,(0,1)=50,(3,5)=55,(3,4)=64,(0,5)=79,(0,2)=81,(0,3)=82,(4,5)=82,(1,4)=91,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=25 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=74\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=33 Succeeded, w=107\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1}, Find(1)=2, Find(3)=2, Add (1,3)=45 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1}, Find(0)=0, Find(1)=2, Add (0,1)=50 Succeeded, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=64 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=79 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=82 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=82 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=92 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,92],[0,3,30],[0,4,77],[1,2,10],[1,3,67],[1,4,37],[2,3,95],[2,4,27],[3,4,74]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,92],[0,3,30],[0,4,77],[1,2,10],[1,3,67],[1,4,37],[2,3,95],[2,4,27],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,92],[0,3,30],[0,4,77],[1,2,10],[1,3,67],[1,4,37],[2,3,95],[2,4,27],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,92],[0,3,30],[0,4,77],[1,2,10],[1,3,67],[1,4,37],[2,3,95],[2,4,27],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (2,4)=27, w=37\",\"Add (0,3)=30, w=67\",\"Add (0,1)=66, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,92],[0,3,30],[0,4,77],[1,2,10],[1,3,67],[1,4,37],[2,3,95],[2,4,27],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (2,4)=27 Succeeded, w=37\",\"Add (0,3)=30 Succeeded, w=67\",\"Add (1,4)=37 Failed, w=67\",\"Add (0,1)=66 Succeeded, w=133\",\"Add (1,3)=67 Failed, w=133\",\"Add (3,4)=74 Failed, w=133\",\"Add (0,4)=77 Failed, w=133\",\"Add (0,2)=92 Failed, w=133\",\"Add (2,3)=95 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,92],[0,3,30],[0,4,77],[1,2,10],[1,3,67],[1,4,37],[2,3,95],[2,4,27],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,4)=27,(0,3)=30,(1,4)=37,(0,1)=66,(1,3)=67,(3,4)=74,(0,4)=77,(0,2)=92,(2,3)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(2)=1, Find(4)=4, Add (2,4)=27 Succeeded, w=37\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=67\",\"Find(1)=1, Find(4)=1, Add (1,4)=37 Failed, w=67\",\"Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=133\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=133\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=133\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=133\",\"Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=133\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,92],[0,3,30],[0,4,77],[1,2,10],[1,3,67],[1,4,37],[2,3,95],[2,4,27],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,4)=27,(0,3)=30,(1,4)=37,(0,1)=66,(1,3)=67,(3,4)=74,(0,4)=77,(0,2)=92,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=27 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=37 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,17],[0,2,45],[0,3,2],[0,4,52],[0,5,67],[0,6,45],[1,2,57],[1,3,2],[1,4,88],[1,5,38],[1,6,44],[2,3,65],[2,4,92],[2,5,91],[2,6,87],[3,4,19],[3,5,10],[3,6,58],[4,5,15],[4,6,89],[5,6,6]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,45],[0,3,2],[0,4,52],[0,5,67],[0,6,45],[1,2,57],[1,3,2],[1,4,88],[1,5,38],[1,6,44],[2,3,65],[2,4,92],[2,5,91],[2,6,87],[3,4,19],[3,5,10],[3,6,58],[4,5,15],[4,6,89],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,45],[0,3,2],[0,4,52],[0,5,67],[0,6,45],[1,2,57],[1,3,2],[1,4,88],[1,5,38],[1,6,44],[2,3,65],[2,4,92],[2,5,91],[2,6,87],[3,4,19],[3,5,10],[3,6,58],[4,5,15],[4,6,89],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,45],[0,3,2],[0,4,52],[0,5,67],[0,6,45],[1,2,57],[1,3,2],[1,4,88],[1,5,38],[1,6,44],[2,3,65],[2,4,92],[2,5,91],[2,6,87],[3,4,19],[3,5,10],[3,6,58],[4,5,15],[4,6,89],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,3)=2, w=4\",\"Add (5,6)=6, w=10\",\"Add (3,5)=10, w=20\",\"Add (4,5)=15, w=35\",\"Add (0,2)=45, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,45],[0,3,2],[0,4,52],[0,5,67],[0,6,45],[1,2,57],[1,3,2],[1,4,88],[1,5,38],[1,6,44],[2,3,65],[2,4,92],[2,5,91],[2,6,87],[3,4,19],[3,5,10],[3,6,58],[4,5,15],[4,6,89],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,3)=2 Succeeded, w=4\",\"Add (5,6)=6 Succeeded, w=10\",\"Add (3,5)=10 Succeeded, w=20\",\"Add (4,5)=15 Succeeded, w=35\",\"Add (0,1)=17 Failed, w=35\",\"Add (3,4)=19 Failed, w=35\",\"Add (1,5)=38 Failed, w=35\",\"Add (1,6)=44 Failed, w=35\",\"Add (0,2)=45 Succeeded, w=80\",\"Add (0,6)=45 Failed, w=80\",\"Add (0,4)=52 Failed, w=80\",\"Add (1,2)=57 Failed, w=80\",\"Add (3,6)=58 Failed, w=80\",\"Add (2,3)=65 Failed, w=80\",\"Add (0,5)=67 Failed, w=80\",\"Add (2,6)=87 Failed, w=80\",\"Add (1,4)=88 Failed, w=80\",\"Add (4,6)=89 Failed, w=80\",\"Add (2,5)=91 Failed, w=80\",\"Add (2,4)=92 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,45],[0,3,2],[0,4,52],[0,5,67],[0,6,45],[1,2,57],[1,3,2],[1,4,88],[1,5,38],[1,6,44],[2,3,65],[2,4,92],[2,5,91],[2,6,87],[3,4,19],[3,5,10],[3,6,58],[4,5,15],[4,6,89],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=2,(5,6)=6,(3,5)=10,(4,5)=15,(0,1)=17,(3,4)=19,(1,5)=38,(1,6)=44,(0,2)=45,(0,6)=45,(0,4)=52,(1,2)=57,(3,6)=58,(2,3)=65,(0,5)=67,(2,6)=87,(1,4)=88,(4,6)=89,(2,5)=91,(2,4)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=0, Add (1,3)=2 Succeeded, w=4\",\"Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=10\",\"Find(3)=0, Find(5)=5, Add (3,5)=10 Succeeded, w=20\",\"Find(4)=4, Find(5)=0, Add (4,5)=15 Succeeded, w=35\",\"Find(0)=0, Find(1)=0, Add (0,1)=17 Failed, w=35\",\"Find(3)=0, Find(4)=0, Add (3,4)=19 Failed, w=35\",\"Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=35\",\"Find(1)=0, Find(6)=0, Add (1,6)=44 Failed, w=35\",\"Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=80\",\"Find(0)=0, Find(6)=0, Add (0,6)=45 Failed, w=80\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=80\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=80\",\"Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=80\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=80\",\"Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=80\",\"Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=80\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=80\",\"Find(4)=0, Find(6)=0, Add (4,6)=89 Failed, w=80\",\"Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=80\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,45],[0,3,2],[0,4,52],[0,5,67],[0,6,45],[1,2,57],[1,3,2],[1,4,88],[1,5,38],[1,6,44],[2,3,65],[2,4,92],[2,5,91],[2,6,87],[3,4,19],[3,5,10],[3,6,58],[4,5,15],[4,6,89],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=2,(5,6)=6,(3,5)=10,(4,5)=15,(0,1)=17,(3,4)=19,(1,5)=38,(1,6)=44,(0,2)=45,(0,6)=45,(0,4)=52,(1,2)=57,(3,6)=58,(2,3)=65,(0,5)=67,(2,6)=87,(1,4)=88,(4,6)=89,(2,5)=91,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 5}, Find(3)=0, Find(5)=5, Add (3,5)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(4)=4, Find(5)=0, Add (4,5)=15 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(1)=0, Add (0,1)=17 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(4)=0, Add (3,4)=19 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=44 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=45 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=80\",\"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=80\",\"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=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,21],[0,2,14],[0,3,19],[0,4,70],[0,5,57],[1,2,49],[1,3,94],[1,4,70],[1,5,67],[2,3,81],[2,4,97],[2,5,30],[3,4,72],[3,5,72],[4,5,65]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,14],[0,3,19],[0,4,70],[0,5,57],[1,2,49],[1,3,94],[1,4,70],[1,5,67],[2,3,81],[2,4,97],[2,5,30],[3,4,72],[3,5,72],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,14],[0,3,19],[0,4,70],[0,5,57],[1,2,49],[1,3,94],[1,4,70],[1,5,67],[2,3,81],[2,4,97],[2,5,30],[3,4,72],[3,5,72],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (4,5)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,14],[0,3,19],[0,4,70],[0,5,57],[1,2,49],[1,3,94],[1,4,70],[1,5,67],[2,3,81],[2,4,97],[2,5,30],[3,4,72],[3,5,72],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (0,3)=19, w=33\",\"Add (0,1)=21, w=54\",\"Add (2,5)=30, w=84\",\"Add (4,5)=65, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,14],[0,3,19],[0,4,70],[0,5,57],[1,2,49],[1,3,94],[1,4,70],[1,5,67],[2,3,81],[2,4,97],[2,5,30],[3,4,72],[3,5,72],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (0,3)=19 Succeeded, w=33\",\"Add (0,1)=21 Succeeded, w=54\",\"Add (2,5)=30 Succeeded, w=84\",\"Add (1,2)=49 Failed, w=84\",\"Add (0,5)=57 Failed, w=84\",\"Add (4,5)=65 Succeeded, w=149\",\"Add (1,5)=67 Failed, w=149\",\"Add (0,4)=70 Failed, w=149\",\"Add (1,4)=70 Failed, w=149\",\"Add (3,4)=72 Failed, w=149\",\"Add (3,5)=72 Failed, w=149\",\"Add (2,3)=81 Failed, w=149\",\"Add (1,3)=94 Failed, w=149\",\"Add (2,4)=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],\"edges\":[[0,1,21],[0,2,14],[0,3,19],[0,4,70],[0,5,57],[1,2,49],[1,3,94],[1,4,70],[1,5,67],[2,3,81],[2,4,97],[2,5,30],[3,4,72],[3,5,72],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(0,3)=19,(0,1)=21,(2,5)=30,(1,2)=49,(0,5)=57,(4,5)=65,(1,5)=67,(0,4)=70,(1,4)=70,(3,4)=72,(3,5)=72,(2,3)=81,(1,3)=94,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=54\",\"Find(2)=0, Find(5)=5, Add (2,5)=30 Succeeded, w=84\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=84\",\"Find(0)=0, Find(5)=0, Add (0,5)=57 Failed, w=84\",\"Find(4)=4, Find(5)=0, Add (4,5)=65 Succeeded, w=149\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=149\",\"Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=149\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=149\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=149\",\"Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=149\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=149\",\"Find(2)=0, Find(4)=0, Add (2,4)=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],\"edges\":[[0,1,21],[0,2,14],[0,3,19],[0,4,70],[0,5,57],[1,2,49],[1,3,94],[1,4,70],[1,5,67],[2,3,81],[2,4,97],[2,5,30],[3,4,72],[3,5,72],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(0,3)=19,(0,1)=21,(2,5)=30,(1,2)=49,(0,5)=57,(4,5)=65,(1,5)=67,(0,4)=70,(1,4)=70,(3,4)=72,(3,5)=72,(2,3)=81,(1,3)=94,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=30 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=57 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=65 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,88],[0,4,78],[1,2,49],[1,3,90],[1,4,90],[1,5,94],[1,6,98],[2,3,86],[2,4,44],[2,5,19],[2,6,85],[3,4,42],[3,5,73],[3,6,87],[4,5,40],[4,6,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,88],[0,4,78],[1,2,49],[1,3,90],[1,4,90],[1,5,94],[1,6,98],[2,3,86],[2,4,44],[2,5,19],[2,6,85],[3,4,42],[3,5,73],[3,6,87],[4,5,40],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":273}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,88],[0,4,78],[1,2,49],[1,3,90],[1,4,90],[1,5,94],[1,6,98],[2,3,86],[2,4,44],[2,5,19],[2,6,85],[3,4,42],[3,5,73],[3,6,87],[4,5,40],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":273}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,88],[0,4,78],[1,2,49],[1,3,90],[1,4,90],[1,5,94],[1,6,98],[2,3,86],[2,4,44],[2,5,19],[2,6,85],[3,4,42],[3,5,73],[3,6,87],[4,5,40],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=19, w=19\",\"Add (4,5)=40, w=59\",\"Add (3,4)=42, w=101\",\"Add (4,6)=45, w=146\",\"Add (1,2)=49, w=195\",\"Add (0,4)=78, w=273\"],\"Answer\":273}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,88],[0,4,78],[1,2,49],[1,3,90],[1,4,90],[1,5,94],[1,6,98],[2,3,86],[2,4,44],[2,5,19],[2,6,85],[3,4,42],[3,5,73],[3,6,87],[4,5,40],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=19 Succeeded, w=19\",\"Add (4,5)=40 Succeeded, w=59\",\"Add (3,4)=42 Succeeded, w=101\",\"Add (2,4)=44 Failed, w=101\",\"Add (4,6)=45 Succeeded, w=146\",\"Add (1,2)=49 Succeeded, w=195\",\"Add (3,5)=73 Failed, w=195\",\"Add (0,4)=78 Succeeded, w=273\",\"Add (2,6)=85 Failed, w=273\",\"Add (2,3)=86 Failed, w=273\",\"Add (3,6)=87 Failed, w=273\",\"Add (0,2)=88 Failed, w=273\",\"Add (1,3)=90 Failed, w=273\",\"Add (1,4)=90 Failed, w=273\",\"Add (1,5)=94 Failed, w=273\",\"Add (1,6)=98 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,88],[0,4,78],[1,2,49],[1,3,90],[1,4,90],[1,5,94],[1,6,98],[2,3,86],[2,4,44],[2,5,19],[2,6,85],[3,4,42],[3,5,73],[3,6,87],[4,5,40],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=19,(4,5)=40,(3,4)=42,(2,4)=44,(4,6)=45,(1,2)=49,(3,5)=73,(0,4)=78,(2,6)=85,(2,3)=86,(3,6)=87,(0,2)=88,(1,3)=90,(1,4)=90,(1,5)=94,(1,6)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=19\",\"Find(4)=4, Find(5)=2, Add (4,5)=40 Succeeded, w=59\",\"Find(3)=3, Find(4)=2, Add (3,4)=42 Succeeded, w=101\",\"Find(2)=2, Find(4)=2, Add (2,4)=44 Failed, w=101\",\"Find(4)=2, Find(6)=6, Add (4,6)=45 Succeeded, w=146\",\"Find(1)=1, Find(2)=2, Add (1,2)=49 Succeeded, w=195\",\"Find(3)=2, Find(5)=2, Add (3,5)=73 Failed, w=195\",\"Find(0)=0, Find(4)=2, Add (0,4)=78 Succeeded, w=273\",\"Find(2)=2, Find(6)=2, Add (2,6)=85 Failed, w=273\",\"Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=273\",\"Find(3)=2, Find(6)=2, Add (3,6)=87 Failed, w=273\",\"Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=273\",\"Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=273\",\"Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=273\",\"Find(1)=2, Find(5)=2, Add (1,5)=94 Failed, w=273\",\"Find(1)=2, Find(6)=2, Add (1,6)=98 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,88],[0,4,78],[1,2,49],[1,3,90],[1,4,90],[1,5,94],[1,6,98],[2,3,86],[2,4,44],[2,5,19],[2,6,85],[3,4,42],[3,5,73],[3,6,87],[4,5,40],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=19,(4,5)=40,(3,4)=42,(2,4)=44,(4,6)=45,(1,2)=49,(3,5)=73,(0,4)=78,(2,6)=85,(2,3)=86,(3,6)=87,(0,2)=88,(1,3)=90,(1,4)=90,(1,5)=94,(1,6)=98]\",\"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)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(4)=4, Find(5)=2, Add (4,5)=40 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(3)=3, Find(4)=2, Add (3,4)=42 Succeeded, w=101\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(4)=2, Add (2,4)=44 Failed, w=101\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=45 Succeeded, w=146\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=49 Succeeded, w=195\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=73 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=78 Succeeded, w=273\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=85 Failed, w=273\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=273\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=87 Failed, w=273\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=273\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=273\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=273\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=94 Failed, w=273\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=98 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,18],[0,3,42],[2,3,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,42],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,42],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,42],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18, w=18\",\"Add (0,3)=42, w=60\",\"Add (2,3)=83, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,42],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18 Succeeded, w=18\",\"Add (0,3)=42 Succeeded, w=60\",\"Add (2,3)=83 Succeeded, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,42],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(0,3)=42,(2,3)=83]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=60\",\"Find(2)=2, Find(3)=0, Add (2,3)=83 Succeeded, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,42],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(0,3)=42,(2,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=83 Succeeded, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[1,3,36],[1,6,71],[2,4,85],[2,5,54],[3,4,39],[3,6,80],[4,6,36]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[1,3,36],[1,6,71],[2,4,85],[2,5,54],[3,4,39],[3,6,80],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":321}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[1,3,36],[1,6,71],[2,4,85],[2,5,54],[3,4,39],[3,6,80],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":321}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[1,3,36],[1,6,71],[2,4,85],[2,5,54],[3,4,39],[3,6,80],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=36, w=36\",\"Add (4,6)=36, w=72\",\"Add (3,4)=39, w=111\",\"Add (2,5)=54, w=165\",\"Add (0,1)=71, w=236\",\"Add (2,4)=85, w=321\"],\"Answer\":321}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[1,3,36],[1,6,71],[2,4,85],[2,5,54],[3,4,39],[3,6,80],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=36 Succeeded, w=36\",\"Add (4,6)=36 Succeeded, w=72\",\"Add (3,4)=39 Succeeded, w=111\",\"Add (2,5)=54 Succeeded, w=165\",\"Add (0,1)=71 Succeeded, w=236\",\"Add (1,6)=71 Failed, w=236\",\"Add (3,6)=80 Failed, w=236\",\"Add (2,4)=85 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[1,3,36],[1,6,71],[2,4,85],[2,5,54],[3,4,39],[3,6,80],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=36,(4,6)=36,(3,4)=39,(2,5)=54,(0,1)=71,(1,6)=71,(3,6)=80,(2,4)=85]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=36\",\"Find(4)=4, Find(6)=6, Add (4,6)=36 Succeeded, w=72\",\"Find(3)=1, Find(4)=4, Add (3,4)=39 Succeeded, w=111\",\"Find(2)=2, Find(5)=5, Add (2,5)=54 Succeeded, w=165\",\"Find(0)=0, Find(1)=1, Add (0,1)=71 Succeeded, w=236\",\"Find(1)=1, Find(6)=1, Add (1,6)=71 Failed, w=236\",\"Find(3)=1, Find(6)=1, Add (3,6)=80 Failed, w=236\",\"Find(2)=2, Find(4)=1, Add (2,4)=85 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[1,3,36],[1,6,71],[2,4,85],[2,5,54],[3,4,39],[3,6,80],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=36,(4,6)=36,(3,4)=39,(2,5)=54,(0,1)=71,(1,6)=71,(3,6)=80,(2,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=36 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4}, Find(3)=1, Find(4)=4, Add (3,4)=39 Succeeded, w=111\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 4}, Find(2)=2, Find(5)=5, Add (2,5)=54 Succeeded, w=165\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=71 Succeeded, w=236\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=71 Failed, w=236\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=80 Failed, w=236\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=85 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,23],[0,3,43],[0,5,78],[0,6,13],[0,7,91],[1,2,7],[1,3,44],[1,7,16],[2,4,47],[2,6,47],[2,7,79],[3,4,4],[3,5,16],[3,6,89],[3,7,73],[4,5,32],[4,6,28],[5,6,70],[6,7,6]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,23],[0,3,43],[0,5,78],[0,6,13],[0,7,91],[1,2,7],[1,3,44],[1,7,16],[2,4,47],[2,6,47],[2,7,79],[3,4,4],[3,5,16],[3,6,89],[3,7,73],[4,5,32],[4,6,28],[5,6,70],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,23],[0,3,43],[0,5,78],[0,6,13],[0,7,91],[1,2,7],[1,3,44],[1,7,16],[2,4,47],[2,6,47],[2,7,79],[3,4,4],[3,5,16],[3,6,89],[3,7,73],[4,5,32],[4,6,28],[5,6,70],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (6,7)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (1,7)\",\"Add (3,5)\",\"Add (4,6)\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,23],[0,3,43],[0,5,78],[0,6,13],[0,7,91],[1,2,7],[1,3,44],[1,7,16],[2,4,47],[2,6,47],[2,7,79],[3,4,4],[3,5,16],[3,6,89],[3,7,73],[4,5,32],[4,6,28],[5,6,70],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (6,7)=6, w=10\",\"Add (1,2)=7, w=17\",\"Add (0,6)=13, w=30\",\"Add (1,7)=16, w=46\",\"Add (3,5)=16, w=62\",\"Add (4,6)=28, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,23],[0,3,43],[0,5,78],[0,6,13],[0,7,91],[1,2,7],[1,3,44],[1,7,16],[2,4,47],[2,6,47],[2,7,79],[3,4,4],[3,5,16],[3,6,89],[3,7,73],[4,5,32],[4,6,28],[5,6,70],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (6,7)=6 Succeeded, w=10\",\"Add (1,2)=7 Succeeded, w=17\",\"Add (0,6)=13 Succeeded, w=30\",\"Add (1,7)=16 Succeeded, w=46\",\"Add (3,5)=16 Succeeded, w=62\",\"Add (0,2)=23 Failed, w=62\",\"Add (4,6)=28 Succeeded, w=90\",\"Add (4,5)=32 Failed, w=90\",\"Add (0,3)=43 Failed, w=90\",\"Add (1,3)=44 Failed, w=90\",\"Add (2,4)=47 Failed, w=90\",\"Add (2,6)=47 Failed, w=90\",\"Add (0,1)=60 Failed, w=90\",\"Add (5,6)=70 Failed, w=90\",\"Add (3,7)=73 Failed, w=90\",\"Add (0,5)=78 Failed, w=90\",\"Add (2,7)=79 Failed, w=90\",\"Add (3,6)=89 Failed, w=90\",\"Add (0,7)=91 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,23],[0,3,43],[0,5,78],[0,6,13],[0,7,91],[1,2,7],[1,3,44],[1,7,16],[2,4,47],[2,6,47],[2,7,79],[3,4,4],[3,5,16],[3,6,89],[3,7,73],[4,5,32],[4,6,28],[5,6,70],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(6,7)=6,(1,2)=7,(0,6)=13,(1,7)=16,(3,5)=16,(0,2)=23,(4,6)=28,(4,5)=32,(0,3)=43,(1,3)=44,(2,4)=47,(2,6)=47,(0,1)=60,(5,6)=70,(3,7)=73,(0,5)=78,(2,7)=79,(3,6)=89,(0,7)=91]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=17\",\"Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=30\",\"Find(1)=1, Find(7)=6, Add (1,7)=16 Succeeded, w=46\",\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=62\",\"Find(0)=1, Find(2)=1, Add (0,2)=23 Failed, w=62\",\"Find(4)=3, Find(6)=1, Add (4,6)=28 Succeeded, w=90\",\"Find(4)=1, Find(5)=1, Add (4,5)=32 Failed, w=90\",\"Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=90\",\"Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=90\",\"Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=90\",\"Find(2)=1, Find(6)=1, Add (2,6)=47 Failed, w=90\",\"Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=90\",\"Find(5)=1, Find(6)=1, Add (5,6)=70 Failed, w=90\",\"Find(3)=1, Find(7)=1, Add (3,7)=73 Failed, w=90\",\"Find(0)=1, Find(5)=1, Add (0,5)=78 Failed, w=90\",\"Find(2)=1, Find(7)=1, Add (2,7)=79 Failed, w=90\",\"Find(3)=1, Find(6)=1, Add (3,6)=89 Failed, w=90\",\"Find(0)=1, Find(7)=1, Add (0,7)=91 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,23],[0,3,43],[0,5,78],[0,6,13],[0,7,91],[1,2,7],[1,3,44],[1,7,16],[2,4,47],[2,6,47],[2,7,79],[3,4,4],[3,5,16],[3,6,89],[3,7,73],[4,5,32],[4,6,28],[5,6,70],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(6,7)=6,(1,2)=7,(0,6)=13,(1,7)=16,(3,5)=16,(0,2)=23,(4,6)=28,(4,5)=32,(0,3)=43,(1,3)=44,(2,4)=47,(2,6)=47,(0,1)=60,(5,6)=70,(3,7)=73,(0,5)=78,(2,7)=79,(3,6)=89,(0,7)=91]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=17\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=30\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 1, 7: 6}, Find(1)=1, Find(7)=6, Add (1,7)=16 Succeeded, w=46\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1, 7: 6}, Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1, 7: 6}, Find(0)=1, Find(2)=1, Add (0,2)=23 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3, 6: 1, 7: 6}, Find(4)=3, Find(6)=1, Add (4,6)=28 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(4)=1, Find(5)=1, Add (4,5)=32 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(6)=1, Add (2,6)=47 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(5)=1, Find(6)=1, Add (5,6)=70 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=73 Failed, w=90\",\"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)=78 Failed, w=90\",\"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)=79 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=89 Failed, w=90\",\"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)=91 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,41],[1,2,12],[2,3,96],[2,4,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[1,2,12],[2,3,96],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[1,2,12],[2,3,96],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[1,2,12],[2,3,96],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (1,2)=12, w=14\",\"Add (0,2)=41, w=55\",\"Add (2,3)=96, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[1,2,12],[2,3,96],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (1,2)=12 Succeeded, w=14\",\"Add (0,2)=41 Succeeded, w=55\",\"Add (2,3)=96 Succeeded, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[1,2,12],[2,3,96],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,2)=12,(0,2)=41,(2,3)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=55\",\"Find(2)=2, Find(3)=3, Add (2,3)=96 Succeeded, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[1,2,12],[2,3,96],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,2)=12,(0,2)=41,(2,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=96 Succeeded, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,45],[0,4,43],[0,5,74],[0,6,15],[0,7,53],[1,2,33],[1,5,89],[1,6,82],[1,7,8],[2,3,3],[2,4,79],[2,5,100],[2,6,88],[2,7,86],[3,5,1],[3,6,97],[3,7,13],[4,6,83],[4,7,14],[6,7,1]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,45],[0,4,43],[0,5,74],[0,6,15],[0,7,53],[1,2,33],[1,5,89],[1,6,82],[1,7,8],[2,3,3],[2,4,79],[2,5,100],[2,6,88],[2,7,86],[3,5,1],[3,6,97],[3,7,13],[4,6,83],[4,7,14],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,45],[0,4,43],[0,5,74],[0,6,15],[0,7,53],[1,2,33],[1,5,89],[1,6,82],[1,7,8],[2,3,3],[2,4,79],[2,5,100],[2,6,88],[2,7,86],[3,5,1],[3,6,97],[3,7,13],[4,6,83],[4,7,14],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (6,7)\",\"Add (2,3)\",\"Add (1,7)\",\"Add (3,7)\",\"Add (4,7)\",\"Add (0,6)\"],\"Answer\":55}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,45],[0,4,43],[0,5,74],[0,6,15],[0,7,53],[1,2,33],[1,5,89],[1,6,82],[1,7,8],[2,3,3],[2,4,79],[2,5,100],[2,6,88],[2,7,86],[3,5,1],[3,6,97],[3,7,13],[4,6,83],[4,7,14],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (6,7)=1, w=2\",\"Add (2,3)=3, w=5\",\"Add (1,7)=8, w=13\",\"Add (3,7)=13, w=26\",\"Add (4,7)=14, w=40\",\"Add (0,6)=15, w=55\"],\"Answer\":55}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,45],[0,4,43],[0,5,74],[0,6,15],[0,7,53],[1,2,33],[1,5,89],[1,6,82],[1,7,8],[2,3,3],[2,4,79],[2,5,100],[2,6,88],[2,7,86],[3,5,1],[3,6,97],[3,7,13],[4,6,83],[4,7,14],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (6,7)=1 Succeeded, w=2\",\"Add (2,3)=3 Succeeded, w=5\",\"Add (1,7)=8 Succeeded, w=13\",\"Add (3,7)=13 Succeeded, w=26\",\"Add (4,7)=14 Succeeded, w=40\",\"Add (0,6)=15 Succeeded, w=55\",\"Add (1,2)=33 Failed, w=55\",\"Add (0,4)=43 Failed, w=55\",\"Add (0,2)=45 Failed, w=55\",\"Add (0,7)=53 Failed, w=55\",\"Add (0,1)=60 Failed, w=55\",\"Add (0,5)=74 Failed, w=55\",\"Add (2,4)=79 Failed, w=55\",\"Add (1,6)=82 Failed, w=55\",\"Add (4,6)=83 Failed, w=55\",\"Add (2,7)=86 Failed, w=55\",\"Add (2,6)=88 Failed, w=55\",\"Add (1,5)=89 Failed, w=55\",\"Add (3,6)=97 Failed, w=55\",\"Add (2,5)=100 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,45],[0,4,43],[0,5,74],[0,6,15],[0,7,53],[1,2,33],[1,5,89],[1,6,82],[1,7,8],[2,3,3],[2,4,79],[2,5,100],[2,6,88],[2,7,86],[3,5,1],[3,6,97],[3,7,13],[4,6,83],[4,7,14],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(6,7)=1,(2,3)=3,(1,7)=8,(3,7)=13,(4,7)=14,(0,6)=15,(1,2)=33,(0,4)=43,(0,2)=45,(0,7)=53,(0,1)=60,(0,5)=74,(2,4)=79,(1,6)=82,(4,6)=83,(2,7)=86,(2,6)=88,(1,5)=89,(3,6)=97,(2,5)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(6)=6, Find(7)=7, Add (6,7)=1 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=5\",\"Find(1)=1, Find(7)=6, Add (1,7)=8 Succeeded, w=13\",\"Find(3)=3, Find(7)=6, Add (3,7)=13 Succeeded, w=26\",\"Find(4)=4, Find(7)=3, Add (4,7)=14 Succeeded, w=40\",\"Find(0)=0, Find(6)=3, Add (0,6)=15 Succeeded, w=55\",\"Find(1)=3, Find(2)=3, Add (1,2)=33 Failed, w=55\",\"Find(0)=3, Find(4)=3, Add (0,4)=43 Failed, w=55\",\"Find(0)=3, Find(2)=3, Add (0,2)=45 Failed, w=55\",\"Find(0)=3, Find(7)=3, Add (0,7)=53 Failed, w=55\",\"Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=55\",\"Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=55\",\"Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=55\",\"Find(1)=3, Find(6)=3, Add (1,6)=82 Failed, w=55\",\"Find(4)=3, Find(6)=3, Add (4,6)=83 Failed, w=55\",\"Find(2)=3, Find(7)=3, Add (2,7)=86 Failed, w=55\",\"Find(2)=3, Find(6)=3, Add (2,6)=88 Failed, w=55\",\"Find(1)=3, Find(5)=3, Add (1,5)=89 Failed, w=55\",\"Find(3)=3, Find(6)=3, Add (3,6)=97 Failed, w=55\",\"Find(2)=3, Find(5)=3, Add (2,5)=100 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,45],[0,4,43],[0,5,74],[0,6,15],[0,7,53],[1,2,33],[1,5,89],[1,6,82],[1,7,8],[2,3,3],[2,4,79],[2,5,100],[2,6,88],[2,7,86],[3,5,1],[3,6,97],[3,7,13],[4,6,83],[4,7,14],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(6,7)=1,(2,3)=3,(1,7)=8,(3,7)=13,(4,7)=14,(0,6)=15,(1,2)=33,(0,4)=43,(0,2)=45,(0,7)=53,(0,1)=60,(0,5)=74,(2,4)=79,(1,6)=82,(4,6)=83,(2,7)=86,(2,6)=88,(1,5)=89,(3,6)=97,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 6, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(1)=1, Find(7)=6, Add (1,7)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 6, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 6, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=14 Succeeded, w=40\",\"Parent: {0: 3, 1: 6, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(6)=3, Add (0,6)=15 Succeeded, w=55\",\"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)=33 Failed, w=55\",\"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)=43 Failed, w=55\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=45 Failed, w=55\",\"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)=53 Failed, w=55\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=55\",\"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)=74 Failed, w=55\",\"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)=79 Failed, w=55\",\"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)=82 Failed, w=55\",\"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)=83 Failed, w=55\",\"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)=86 Failed, w=55\",\"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)=88 Failed, w=55\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=89 Failed, w=55\",\"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)=97 Failed, w=55\",\"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)=100 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,67],[0,3,5],[1,2,5],[1,3,59],[1,4,90],[2,4,5],[3,4,53]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,67],[0,3,5],[1,2,5],[1,3,59],[1,4,90],[2,4,5],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":33}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,67],[0,3,5],[1,2,5],[1,3,59],[1,4,90],[2,4,5],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":33}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,67],[0,3,5],[1,2,5],[1,3,59],[1,4,90],[2,4,5],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (1,2)=5, w=10\",\"Add (2,4)=5, w=15\",\"Add (0,1)=18, w=33\"],\"Answer\":33}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,67],[0,3,5],[1,2,5],[1,3,59],[1,4,90],[2,4,5],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,2)=5 Succeeded, w=10\",\"Add (2,4)=5 Succeeded, w=15\",\"Add (0,1)=18 Succeeded, w=33\",\"Add (3,4)=53 Failed, w=33\",\"Add (1,3)=59 Failed, w=33\",\"Add (0,2)=67 Failed, w=33\",\"Add (1,4)=90 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,67],[0,3,5],[1,2,5],[1,3,59],[1,4,90],[2,4,5],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=5,(2,4)=5,(0,1)=18,(3,4)=53,(1,3)=59,(0,2)=67,(1,4)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=10\",\"Find(2)=1, Find(4)=4, Add (2,4)=5 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=33\",\"Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=33\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=33\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=33\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,67],[0,3,5],[1,2,5],[1,3,59],[1,4,90],[2,4,5],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=5,(2,4)=5,(0,1)=18,(3,4)=53,(1,3)=59,(0,2)=67,(1,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=5 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,12],[0,2,55],[1,2,100],[1,3,23],[2,3,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[1,2,100],[1,3,23],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[1,2,100],[1,3,23],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[1,2,100],[1,3,23],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (1,3)=23, w=35\",\"Add (2,3)=34, w=69\"],\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[1,2,100],[1,3,23],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (1,3)=23 Succeeded, w=35\",\"Add (2,3)=34 Succeeded, w=69\",\"Add (0,2)=55 Failed, w=69\",\"Add (1,2)=100 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[1,2,100],[1,3,23],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(1,3)=23,(2,3)=34,(0,2)=55,(1,2)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(1)=0, Find(3)=3, Add (1,3)=23 Succeeded, w=35\",\"Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=69\",\"Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=69\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[1,2,100],[1,3,23],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(1,3)=23,(2,3)=34,(0,2)=55,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=23 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,2,25],[0,4,87],[0,5,27],[0,6,68],[1,5,39],[1,6,58],[2,5,29],[2,6,56],[3,5,63],[3,6,87],[5,6,70]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,25],[0,4,87],[0,5,27],[0,6,68],[1,5,39],[1,6,58],[2,5,29],[2,6,56],[3,5,63],[3,6,87],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":297}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,25],[0,4,87],[0,5,27],[0,6,68],[1,5,39],[1,6,58],[2,5,29],[2,6,56],[3,5,63],[3,6,87],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":297}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,25],[0,4,87],[0,5,27],[0,6,68],[1,5,39],[1,6,58],[2,5,29],[2,6,56],[3,5,63],[3,6,87],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=25, w=25\",\"Add (0,5)=27, w=52\",\"Add (1,5)=39, w=91\",\"Add (2,6)=56, w=147\",\"Add (3,5)=63, w=210\",\"Add (0,4)=87, w=297\"],\"Answer\":297}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,25],[0,4,87],[0,5,27],[0,6,68],[1,5,39],[1,6,58],[2,5,29],[2,6,56],[3,5,63],[3,6,87],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=25 Succeeded, w=25\",\"Add (0,5)=27 Succeeded, w=52\",\"Add (2,5)=29 Failed, w=52\",\"Add (1,5)=39 Succeeded, w=91\",\"Add (2,6)=56 Succeeded, w=147\",\"Add (1,6)=58 Failed, w=147\",\"Add (3,5)=63 Succeeded, w=210\",\"Add (0,6)=68 Failed, w=210\",\"Add (5,6)=70 Failed, w=210\",\"Add (0,1)=82 Failed, w=210\",\"Add (0,4)=87 Succeeded, w=297\",\"Add (3,6)=87 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,25],[0,4,87],[0,5,27],[0,6,68],[1,5,39],[1,6,58],[2,5,29],[2,6,56],[3,5,63],[3,6,87],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=25,(0,5)=27,(2,5)=29,(1,5)=39,(2,6)=56,(1,6)=58,(3,5)=63,(0,6)=68,(5,6)=70,(0,1)=82,(0,4)=87,(3,6)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=52\",\"Find(2)=0, Find(5)=0, Add (2,5)=29 Failed, w=52\",\"Find(1)=1, Find(5)=0, Add (1,5)=39 Succeeded, w=91\",\"Find(2)=0, Find(6)=6, Add (2,6)=56 Succeeded, w=147\",\"Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=147\",\"Find(3)=3, Find(5)=0, Add (3,5)=63 Succeeded, w=210\",\"Find(0)=0, Find(6)=0, Add (0,6)=68 Failed, w=210\",\"Find(5)=0, Find(6)=0, Add (5,6)=70 Failed, w=210\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=210\",\"Find(0)=0, Find(4)=4, Add (0,4)=87 Succeeded, w=297\",\"Find(3)=0, Find(6)=0, Add (3,6)=87 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,25],[0,4,87],[0,5,27],[0,6,68],[1,5,39],[1,6,58],[2,5,29],[2,6,56],[3,5,63],[3,6,87],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=25,(0,5)=27,(2,5)=29,(1,5)=39,(2,6)=56,(1,6)=58,(3,5)=63,(0,6)=68,(5,6)=70,(0,1)=82,(0,4)=87,(3,6)=87]\",\"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)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=0, Add (2,5)=29 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=39 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=56 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=63 Succeeded, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=68 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=70 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=87 Succeeded, w=297\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=87 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,71],[0,2,38],[0,3,85],[0,4,16],[0,5,78],[1,2,68],[1,3,18],[2,3,16],[2,4,40],[2,5,30],[3,4,41],[3,5,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,85],[0,4,16],[0,5,78],[1,2,68],[1,3,18],[2,3,16],[2,4,40],[2,5,30],[3,4,41],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,85],[0,4,16],[0,5,78],[1,2,68],[1,3,18],[2,3,16],[2,4,40],[2,5,30],[3,4,41],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (0,2)\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,85],[0,4,16],[0,5,78],[1,2,68],[1,3,18],[2,3,16],[2,4,40],[2,5,30],[3,4,41],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16, w=16\",\"Add (2,3)=16, w=32\",\"Add (1,3)=18, w=50\",\"Add (2,5)=30, w=80\",\"Add (0,2)=38, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,85],[0,4,16],[0,5,78],[1,2,68],[1,3,18],[2,3,16],[2,4,40],[2,5,30],[3,4,41],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16 Succeeded, w=16\",\"Add (2,3)=16 Succeeded, w=32\",\"Add (1,3)=18 Succeeded, w=50\",\"Add (2,5)=30 Succeeded, w=80\",\"Add (0,2)=38 Succeeded, w=118\",\"Add (2,4)=40 Failed, w=118\",\"Add (3,4)=41 Failed, w=118\",\"Add (3,5)=45 Failed, w=118\",\"Add (1,2)=68 Failed, w=118\",\"Add (0,1)=71 Failed, w=118\",\"Add (0,5)=78 Failed, w=118\",\"Add (0,3)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,85],[0,4,16],[0,5,78],[1,2,68],[1,3,18],[2,3,16],[2,4,40],[2,5,30],[3,4,41],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(2,3)=16,(1,3)=18,(2,5)=30,(0,2)=38,(2,4)=40,(3,4)=41,(3,5)=45,(1,2)=68,(0,1)=71,(0,5)=78,(0,3)=85]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=32\",\"Find(1)=1, Find(3)=2, Add (1,3)=18 Succeeded, w=50\",\"Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=80\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=118\",\"Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=118\",\"Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=118\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=118\",\"Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=118\",\"Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=118\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,85],[0,4,16],[0,5,78],[1,2,68],[1,3,18],[2,3,16],[2,4,40],[2,5,30],[3,4,41],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(2,3)=16,(1,3)=18,(2,5)=30,(0,2)=38,(2,4)=40,(3,4)=41,(3,5)=45,(1,2)=68,(0,1)=71,(0,5)=78,(0,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 5}, Find(1)=1, Find(3)=2, Add (1,3)=18 Succeeded, w=50\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=80\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=118\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 2}, Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=118\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=118\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,2,61],[0,3,17],[0,4,83],[0,5,50],[0,7,30],[1,2,62],[1,3,46],[1,4,64],[2,3,26],[2,4,87],[2,5,37],[3,5,53],[3,6,9],[3,7,23],[4,5,9],[4,6,53],[4,7,39],[5,6,40],[5,7,61],[6,7,65]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,61],[0,3,17],[0,4,83],[0,5,50],[0,7,30],[1,2,62],[1,3,46],[1,4,64],[2,3,26],[2,4,87],[2,5,37],[3,5,53],[3,6,9],[3,7,23],[4,5,9],[4,6,53],[4,7,39],[5,6,40],[5,7,61],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,61],[0,3,17],[0,4,83],[0,5,50],[0,7,30],[1,2,62],[1,3,46],[1,4,64],[2,3,26],[2,4,87],[2,5,37],[3,5,53],[3,6,9],[3,7,23],[4,5,9],[4,6,53],[4,7,39],[5,6,40],[5,7,61],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (3,7)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,61],[0,3,17],[0,4,83],[0,5,50],[0,7,30],[1,2,62],[1,3,46],[1,4,64],[2,3,26],[2,4,87],[2,5,37],[3,5,53],[3,6,9],[3,7,23],[4,5,9],[4,6,53],[4,7,39],[5,6,40],[5,7,61],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=9, w=9\",\"Add (4,5)=9, w=18\",\"Add (0,3)=17, w=35\",\"Add (3,7)=23, w=58\",\"Add (2,3)=26, w=84\",\"Add (2,5)=37, w=121\",\"Add (1,3)=46, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,61],[0,3,17],[0,4,83],[0,5,50],[0,7,30],[1,2,62],[1,3,46],[1,4,64],[2,3,26],[2,4,87],[2,5,37],[3,5,53],[3,6,9],[3,7,23],[4,5,9],[4,6,53],[4,7,39],[5,6,40],[5,7,61],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=9 Succeeded, w=9\",\"Add (4,5)=9 Succeeded, w=18\",\"Add (0,3)=17 Succeeded, w=35\",\"Add (3,7)=23 Succeeded, w=58\",\"Add (2,3)=26 Succeeded, w=84\",\"Add (0,7)=30 Failed, w=84\",\"Add (2,5)=37 Succeeded, w=121\",\"Add (4,7)=39 Failed, w=121\",\"Add (5,6)=40 Failed, w=121\",\"Add (1,3)=46 Succeeded, w=167\",\"Add (0,5)=50 Failed, w=167\",\"Add (0,1)=51 Failed, w=167\",\"Add (3,5)=53 Failed, w=167\",\"Add (4,6)=53 Failed, w=167\",\"Add (0,2)=61 Failed, w=167\",\"Add (5,7)=61 Failed, w=167\",\"Add (1,2)=62 Failed, w=167\",\"Add (1,4)=64 Failed, w=167\",\"Add (6,7)=65 Failed, w=167\",\"Add (0,4)=83 Failed, w=167\",\"Add (2,4)=87 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,61],[0,3,17],[0,4,83],[0,5,50],[0,7,30],[1,2,62],[1,3,46],[1,4,64],[2,3,26],[2,4,87],[2,5,37],[3,5,53],[3,6,9],[3,7,23],[4,5,9],[4,6,53],[4,7,39],[5,6,40],[5,7,61],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=9,(4,5)=9,(0,3)=17,(3,7)=23,(2,3)=26,(0,7)=30,(2,5)=37,(4,7)=39,(5,6)=40,(1,3)=46,(0,5)=50,(0,1)=51,(3,5)=53,(4,6)=53,(0,2)=61,(5,7)=61,(1,2)=62,(1,4)=64,(6,7)=65,(0,4)=83,(2,4)=87]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=9\",\"Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=35\",\"Find(3)=3, Find(7)=7, Add (3,7)=23 Succeeded, w=58\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=84\",\"Find(0)=3, Find(7)=3, Add (0,7)=30 Failed, w=84\",\"Find(2)=3, Find(5)=4, Add (2,5)=37 Succeeded, w=121\",\"Find(4)=3, Find(7)=3, Add (4,7)=39 Failed, w=121\",\"Find(5)=3, Find(6)=3, Add (5,6)=40 Failed, w=121\",\"Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=167\",\"Find(0)=3, Find(5)=3, Add (0,5)=50 Failed, w=167\",\"Find(0)=3, Find(1)=3, Add (0,1)=51 Failed, w=167\",\"Find(3)=3, Find(5)=3, Add (3,5)=53 Failed, w=167\",\"Find(4)=3, Find(6)=3, Add (4,6)=53 Failed, w=167\",\"Find(0)=3, Find(2)=3, Add (0,2)=61 Failed, w=167\",\"Find(5)=3, Find(7)=3, Add (5,7)=61 Failed, w=167\",\"Find(1)=3, Find(2)=3, Add (1,2)=62 Failed, w=167\",\"Find(1)=3, Find(4)=3, Add (1,4)=64 Failed, w=167\",\"Find(6)=3, Find(7)=3, Add (6,7)=65 Failed, w=167\",\"Find(0)=3, Find(4)=3, Add (0,4)=83 Failed, w=167\",\"Find(2)=3, Find(4)=3, Add (2,4)=87 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,61],[0,3,17],[0,4,83],[0,5,50],[0,7,30],[1,2,62],[1,3,46],[1,4,64],[2,3,26],[2,4,87],[2,5,37],[3,5,53],[3,6,9],[3,7,23],[4,5,9],[4,6,53],[4,7,39],[5,6,40],[5,7,61],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=9,(4,5)=9,(0,3)=17,(3,7)=23,(2,3)=26,(0,7)=30,(2,5)=37,(4,7)=39,(5,6)=40,(1,3)=46,(0,5)=50,(0,1)=51,(3,5)=53,(4,6)=53,(0,2)=61,(5,7)=61,(1,2)=62,(1,4)=64,(6,7)=65,(0,4)=83,(2,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=18\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=35\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=23 Succeeded, w=58\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 4, 6: 3, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=84\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 4, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=30 Failed, w=84\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(2)=3, Find(5)=4, Add (2,5)=37 Succeeded, w=121\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=39 Failed, w=121\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=40 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=167\",\"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)=50 Failed, w=167\",\"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)=51 Failed, w=167\",\"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)=53 Failed, w=167\",\"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)=53 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=61 Failed, w=167\",\"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)=61 Failed, w=167\",\"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)=62 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=64 Failed, w=167\",\"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)=65 Failed, w=167\",\"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)=83 Failed, w=167\",\"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)=87 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,99],[0,2,4],[0,3,51],[0,4,50],[0,7,51],[1,3,31],[1,4,31],[1,5,12],[1,6,48],[1,7,41],[2,3,34],[3,4,68],[3,5,96],[4,5,75],[4,6,53],[4,7,0],[5,7,29],[6,7,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,51],[0,4,50],[0,7,51],[1,3,31],[1,4,31],[1,5,12],[1,6,48],[1,7,41],[2,3,34],[3,4,68],[3,5,96],[4,5,75],[4,6,53],[4,7,0],[5,7,29],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,51],[0,4,50],[0,7,51],[1,3,31],[1,4,31],[1,5,12],[1,6,48],[1,7,41],[2,3,34],[3,4,68],[3,5,96],[4,5,75],[4,6,53],[4,7,0],[5,7,29],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (6,7)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (5,7)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,51],[0,4,50],[0,7,51],[1,3,31],[1,4,31],[1,5,12],[1,6,48],[1,7,41],[2,3,34],[3,4,68],[3,5,96],[4,5,75],[4,6,53],[4,7,0],[5,7,29],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=0, w=0\",\"Add (6,7)=3, w=3\",\"Add (0,2)=4, w=7\",\"Add (1,5)=12, w=19\",\"Add (5,7)=29, w=48\",\"Add (1,3)=31, w=79\",\"Add (2,3)=34, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,51],[0,4,50],[0,7,51],[1,3,31],[1,4,31],[1,5,12],[1,6,48],[1,7,41],[2,3,34],[3,4,68],[3,5,96],[4,5,75],[4,6,53],[4,7,0],[5,7,29],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=0 Succeeded, w=0\",\"Add (6,7)=3 Succeeded, w=3\",\"Add (0,2)=4 Succeeded, w=7\",\"Add (1,5)=12 Succeeded, w=19\",\"Add (5,7)=29 Succeeded, w=48\",\"Add (1,3)=31 Succeeded, w=79\",\"Add (1,4)=31 Failed, w=79\",\"Add (2,3)=34 Succeeded, w=113\",\"Add (1,7)=41 Failed, w=113\",\"Add (1,6)=48 Failed, w=113\",\"Add (0,4)=50 Failed, w=113\",\"Add (0,3)=51 Failed, w=113\",\"Add (0,7)=51 Failed, w=113\",\"Add (4,6)=53 Failed, w=113\",\"Add (3,4)=68 Failed, w=113\",\"Add (4,5)=75 Failed, w=113\",\"Add (3,5)=96 Failed, w=113\",\"Add (0,1)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,51],[0,4,50],[0,7,51],[1,3,31],[1,4,31],[1,5,12],[1,6,48],[1,7,41],[2,3,34],[3,4,68],[3,5,96],[4,5,75],[4,6,53],[4,7,0],[5,7,29],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=0,(6,7)=3,(0,2)=4,(1,5)=12,(5,7)=29,(1,3)=31,(1,4)=31,(2,3)=34,(1,7)=41,(1,6)=48,(0,4)=50,(0,3)=51,(0,7)=51,(4,6)=53,(3,4)=68,(4,5)=75,(3,5)=96,(0,1)=99]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Find(6)=6, Find(7)=4, Add (6,7)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=7\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=19\",\"Find(5)=1, Find(7)=4, Add (5,7)=29 Succeeded, w=48\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=79\",\"Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=79\",\"Find(2)=0, Find(3)=1, Add (2,3)=34 Succeeded, w=113\",\"Find(1)=1, Find(7)=1, Add (1,7)=41 Failed, w=113\",\"Find(1)=1, Find(6)=1, Add (1,6)=48 Failed, w=113\",\"Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=113\",\"Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=113\",\"Find(0)=1, Find(7)=1, Add (0,7)=51 Failed, w=113\",\"Find(4)=1, Find(6)=1, Add (4,6)=53 Failed, w=113\",\"Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=113\",\"Find(4)=1, Find(5)=1, Add (4,5)=75 Failed, w=113\",\"Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=113\",\"Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,51],[0,4,50],[0,7,51],[1,3,31],[1,4,31],[1,5,12],[1,6,48],[1,7,41],[2,3,34],[3,4,68],[3,5,96],[4,5,75],[4,6,53],[4,7,0],[5,7,29],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=0,(6,7)=3,(0,2)=4,(1,5)=12,(5,7)=29,(1,3)=31,(1,4)=31,(2,3)=34,(1,7)=41,(1,6)=48,(0,4)=50,(0,3)=51,(0,7)=51,(4,6)=53,(3,4)=68,(4,5)=75,(3,5)=96,(0,1)=99]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(6)=6, Find(7)=4, Add (6,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 4, 7: 4}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 4, 7: 4}, Find(5)=1, Find(7)=4, Add (5,7)=29 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 4, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 4, 7: 4}, Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 4, 7: 4}, Find(2)=0, Find(3)=1, Add (2,3)=34 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=41 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=48 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=51 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=53 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=75 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,21],[0,2,72],[0,3,46],[1,3,18],[2,3,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,72],[0,3,46],[1,3,18],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":46}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,72],[0,3,46],[1,3,18],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":46}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,72],[0,3,46],[1,3,18],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (1,3)=18, w=25\",\"Add (0,1)=21, w=46\"],\"Answer\":46}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,72],[0,3,46],[1,3,18],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (1,3)=18 Succeeded, w=25\",\"Add (0,1)=21 Succeeded, w=46\",\"Add (0,3)=46 Failed, w=46\",\"Add (0,2)=72 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,72],[0,3,46],[1,3,18],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(1,3)=18,(0,1)=21,(0,3)=46,(0,2)=72]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=2, Add (1,3)=18 Succeeded, w=25\",\"Find(0)=0, Find(1)=2, Add (0,1)=21 Succeeded, w=46\",\"Find(0)=2, Find(3)=2, Add (0,3)=46 Failed, w=46\",\"Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,72],[0,3,46],[1,3,18],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(1,3)=18,(0,1)=21,(0,3)=46,(0,2)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=18 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=21 Succeeded, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=46 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,29],[0,3,40],[0,4,36],[0,5,18],[0,6,74],[1,3,78],[1,5,47],[1,6,36],[2,3,95],[2,4,32],[2,5,44],[3,4,82],[3,5,1],[3,6,60],[4,5,32],[4,6,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,3,40],[0,4,36],[0,5,18],[0,6,74],[1,3,78],[1,5,47],[1,6,36],[2,3,95],[2,4,32],[2,5,44],[3,4,82],[3,5,1],[3,6,60],[4,5,32],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,3,40],[0,4,36],[0,5,18],[0,6,74],[1,3,78],[1,5,47],[1,6,36],[2,3,95],[2,4,32],[2,5,44],[3,4,82],[3,5,1],[3,6,60],[4,5,32],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (4,6)\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,3,40],[0,4,36],[0,5,18],[0,6,74],[1,3,78],[1,5,47],[1,6,36],[2,3,95],[2,4,32],[2,5,44],[3,4,82],[3,5,1],[3,6,60],[4,5,32],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (0,5)=18, w=19\",\"Add (0,1)=29, w=48\",\"Add (2,4)=32, w=80\",\"Add (4,5)=32, w=112\",\"Add (4,6)=32, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,3,40],[0,4,36],[0,5,18],[0,6,74],[1,3,78],[1,5,47],[1,6,36],[2,3,95],[2,4,32],[2,5,44],[3,4,82],[3,5,1],[3,6,60],[4,5,32],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (0,5)=18 Succeeded, w=19\",\"Add (0,1)=29 Succeeded, w=48\",\"Add (2,4)=32 Succeeded, w=80\",\"Add (4,5)=32 Succeeded, w=112\",\"Add (4,6)=32 Succeeded, w=144\",\"Add (0,4)=36 Failed, w=144\",\"Add (1,6)=36 Failed, w=144\",\"Add (0,3)=40 Failed, w=144\",\"Add (2,5)=44 Failed, w=144\",\"Add (1,5)=47 Failed, w=144\",\"Add (3,6)=60 Failed, w=144\",\"Add (0,6)=74 Failed, w=144\",\"Add (1,3)=78 Failed, w=144\",\"Add (3,4)=82 Failed, w=144\",\"Add (2,3)=95 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,3,40],[0,4,36],[0,5,18],[0,6,74],[1,3,78],[1,5,47],[1,6,36],[2,3,95],[2,4,32],[2,5,44],[3,4,82],[3,5,1],[3,6,60],[4,5,32],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,5)=18,(0,1)=29,(2,4)=32,(4,5)=32,(4,6)=32,(0,4)=36,(1,6)=36,(0,3)=40,(2,5)=44,(1,5)=47,(3,6)=60,(0,6)=74,(1,3)=78,(3,4)=82,(2,3)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=3, Add (0,5)=18 Succeeded, w=19\",\"Find(0)=3, Find(1)=1, Add (0,1)=29 Succeeded, w=48\",\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=80\",\"Find(4)=2, Find(5)=3, Add (4,5)=32 Succeeded, w=112\",\"Find(4)=2, Find(6)=6, Add (4,6)=32 Succeeded, w=144\",\"Find(0)=2, Find(4)=2, Add (0,4)=36 Failed, w=144\",\"Find(1)=2, Find(6)=2, Add (1,6)=36 Failed, w=144\",\"Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=144\",\"Find(2)=2, Find(5)=2, Add (2,5)=44 Failed, w=144\",\"Find(1)=2, Find(5)=2, Add (1,5)=47 Failed, w=144\",\"Find(3)=2, Find(6)=2, Add (3,6)=60 Failed, w=144\",\"Find(0)=2, Find(6)=2, Add (0,6)=74 Failed, w=144\",\"Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=144\",\"Find(3)=2, Find(4)=2, Add (3,4)=82 Failed, w=144\",\"Find(2)=2, Find(3)=2, Add (2,3)=95 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,3,40],[0,4,36],[0,5,18],[0,6,74],[1,3,78],[1,5,47],[1,6,36],[2,3,95],[2,4,32],[2,5,44],[3,4,82],[3,5,1],[3,6,60],[4,5,32],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,5)=18,(0,1)=29,(2,4)=32,(4,5)=32,(4,6)=32,(0,4)=36,(1,6)=36,(0,3)=40,(2,5)=44,(1,5)=47,(3,6)=60,(0,6)=74,(1,3)=78,(3,4)=82,(2,3)=95]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(5)=3, Add (0,5)=18 Succeeded, w=19\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(0)=3, Find(1)=1, Add (0,1)=29 Succeeded, w=48\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=80\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 2, 4: 2, 5: 3, 6: 6}, Find(4)=2, Find(5)=3, Add (4,5)=32 Succeeded, w=112\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=32 Succeeded, w=144\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=36 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=36 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=44 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=47 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=60 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=74 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=82 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=95 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=96, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=96 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=96 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=96 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,2,35],[0,3,25],[0,4,28],[1,2,23],[1,4,31],[2,3,40],[2,4,30],[3,4,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,35],[0,3,25],[0,4,28],[1,2,23],[1,4,31],[2,3,40],[2,4,30],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,35],[0,3,25],[0,4,28],[1,2,23],[1,4,31],[2,3,40],[2,4,30],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,35],[0,3,25],[0,4,28],[1,2,23],[1,4,31],[2,3,40],[2,4,30],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23, w=23\",\"Add (0,3)=25, w=48\",\"Add (0,4)=28, w=76\",\"Add (2,4)=30, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,35],[0,3,25],[0,4,28],[1,2,23],[1,4,31],[2,3,40],[2,4,30],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23 Succeeded, w=23\",\"Add (0,3)=25 Succeeded, w=48\",\"Add (0,4)=28 Succeeded, w=76\",\"Add (2,4)=30 Succeeded, w=106\",\"Add (1,4)=31 Failed, w=106\",\"Add (0,2)=35 Failed, w=106\",\"Add (2,3)=40 Failed, w=106\",\"Add (3,4)=56 Failed, w=106\",\"Add (0,1)=74 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,35],[0,3,25],[0,4,28],[1,2,23],[1,4,31],[2,3,40],[2,4,30],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(0,3)=25,(0,4)=28,(2,4)=30,(1,4)=31,(0,2)=35,(2,3)=40,(3,4)=56,(0,1)=74]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=48\",\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=76\",\"Find(2)=1, Find(4)=0, Add (2,4)=30 Succeeded, w=106\",\"Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=106\",\"Find(0)=1, Find(2)=1, Add (0,2)=35 Failed, w=106\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=56 Failed, w=106\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,35],[0,3,25],[0,4,28],[1,2,23],[1,4,31],[2,3,40],[2,4,30],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(0,3)=25,(0,4)=28,(2,4)=30,(1,4)=31,(0,2)=35,(2,3)=40,(3,4)=56,(0,1)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(2)=1, Find(4)=0, Add (2,4)=30 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=35 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=56 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,87],[0,3,70],[0,4,13],[2,3,63],[3,4,93]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,87],[0,3,70],[0,4,13],[2,3,63],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,87],[0,3,70],[0,4,13],[2,3,63],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,87],[0,3,70],[0,4,13],[2,3,63],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=13, w=13\",\"Add (0,1)=18, w=31\",\"Add (2,3)=63, w=94\",\"Add (0,3)=70, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,87],[0,3,70],[0,4,13],[2,3,63],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=13 Succeeded, w=13\",\"Add (0,1)=18 Succeeded, w=31\",\"Add (2,3)=63 Succeeded, w=94\",\"Add (0,3)=70 Succeeded, w=164\",\"Add (0,2)=87 Failed, w=164\",\"Add (3,4)=93 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,87],[0,3,70],[0,4,13],[2,3,63],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=13,(0,1)=18,(2,3)=63,(0,3)=70,(0,2)=87,(3,4)=93]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=31\",\"Find(2)=2, Find(3)=3, Add (2,3)=63 Succeeded, w=94\",\"Find(0)=0, Find(3)=2, Add (0,3)=70 Succeeded, w=164\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=164\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,87],[0,3,70],[0,4,13],[2,3,63],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=13,(0,1)=18,(2,3)=63,(0,3)=70,(0,2)=87,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=63 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(3)=2, Add (0,3)=70 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,0],[0,2,37],[0,3,59],[1,2,37],[1,3,41],[1,4,43],[2,3,60]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,37],[0,3,59],[1,2,37],[1,3,41],[1,4,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,37],[0,3,59],[1,2,37],[1,3,41],[1,4,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,37],[0,3,59],[1,2,37],[1,3,41],[1,4,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (0,2)=37, w=37\",\"Add (1,3)=41, w=78\",\"Add (1,4)=43, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,37],[0,3,59],[1,2,37],[1,3,41],[1,4,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (0,2)=37 Succeeded, w=37\",\"Add (1,2)=37 Failed, w=37\",\"Add (1,3)=41 Succeeded, w=78\",\"Add (1,4)=43 Succeeded, w=121\",\"Add (0,3)=59 Failed, w=121\",\"Add (2,3)=60 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,37],[0,3,59],[1,2,37],[1,3,41],[1,4,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,2)=37,(1,2)=37,(1,3)=41,(1,4)=43,(0,3)=59,(2,3)=60]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=37\",\"Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=37\",\"Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=78\",\"Find(1)=0, Find(4)=4, Add (1,4)=43 Succeeded, w=121\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=121\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,37],[0,3,59],[1,2,37],[1,3,41],[1,4,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,2)=37,(1,2)=37,(1,3)=41,(1,4)=43,(0,3)=59,(2,3)=60]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=43 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,65],[1,2,70],[2,3,18],[2,4,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,65],[1,2,70],[2,3,18],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":242}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,65],[1,2,70],[2,3,18],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":242}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,65],[1,2,70],[2,3,18],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (0,4)=65, w=83\",\"Add (1,2)=70, w=153\",\"Add (2,4)=89, w=242\"],\"Answer\":242}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,65],[1,2,70],[2,3,18],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (0,4)=65 Succeeded, w=83\",\"Add (1,2)=70 Succeeded, w=153\",\"Add (2,4)=89 Succeeded, w=242\"],\"Answer\":242}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,65],[1,2,70],[2,3,18],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(0,4)=65,(1,2)=70,(2,4)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(4)=4, Add (0,4)=65 Succeeded, w=83\",\"Find(1)=1, Find(2)=2, Add (1,2)=70 Succeeded, w=153\",\"Find(2)=2, Find(4)=0, Add (2,4)=89 Succeeded, w=242\"],\"Answer\":242}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,65],[1,2,70],[2,3,18],[2,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(0,4)=65,(1,2)=70,(2,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=65 Succeeded, w=83\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=70 Succeeded, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=89 Succeeded, w=242\"],\"Answer\":242}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,2,74],[0,3,75],[1,3,93],[2,3,84]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,74],[0,3,75],[1,3,93],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,74],[0,3,75],[1,3,93],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,74],[0,3,75],[1,3,93],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=74, w=74\",\"Add (0,3)=75, w=149\",\"Add (0,1)=91, w=240\"],\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,74],[0,3,75],[1,3,93],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=74 Succeeded, w=74\",\"Add (0,3)=75 Succeeded, w=149\",\"Add (2,3)=84 Failed, w=149\",\"Add (0,1)=91 Succeeded, w=240\",\"Add (1,3)=93 Failed, w=240\"],\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,74],[0,3,75],[1,3,93],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=74,(0,3)=75,(2,3)=84,(0,1)=91,(1,3)=93]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=74 Succeeded, w=74\",\"Find(0)=0, Find(3)=3, Add (0,3)=75 Succeeded, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=149\",\"Find(0)=0, Find(1)=1, Add (0,1)=91 Succeeded, w=240\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=240\"],\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,74],[0,3,75],[1,3,93],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=74,(0,3)=75,(2,3)=84,(0,1)=91,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=74 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=75 Succeeded, w=149\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=91 Succeeded, w=240\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=240\"],\"Answer\":240}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,23],[0,2,7],[0,3,51],[0,4,41],[0,5,48],[1,2,8],[1,4,57],[2,4,97],[3,4,7],[3,6,27],[4,5,93],[4,6,25],[5,6,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,7],[0,3,51],[0,4,41],[0,5,48],[1,2,8],[1,4,57],[2,4,97],[3,4,7],[3,6,27],[4,5,93],[4,6,25],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,7],[0,3,51],[0,4,41],[0,5,48],[1,2,8],[1,4,57],[2,4,97],[3,4,7],[3,6,27],[4,5,93],[4,6,25],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,7],[0,3,51],[0,4,41],[0,5,48],[1,2,8],[1,4,57],[2,4,97],[3,4,7],[3,6,27],[4,5,93],[4,6,25],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (3,4)=7, w=14\",\"Add (1,2)=8, w=22\",\"Add (4,6)=25, w=47\",\"Add (0,4)=41, w=88\",\"Add (0,5)=48, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,7],[0,3,51],[0,4,41],[0,5,48],[1,2,8],[1,4,57],[2,4,97],[3,4,7],[3,6,27],[4,5,93],[4,6,25],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (3,4)=7 Succeeded, w=14\",\"Add (1,2)=8 Succeeded, w=22\",\"Add (0,1)=23 Failed, w=22\",\"Add (4,6)=25 Succeeded, w=47\",\"Add (3,6)=27 Failed, w=47\",\"Add (0,4)=41 Succeeded, w=88\",\"Add (0,5)=48 Succeeded, w=136\",\"Add (0,3)=51 Failed, w=136\",\"Add (1,4)=57 Failed, w=136\",\"Add (4,5)=93 Failed, w=136\",\"Add (5,6)=96 Failed, w=136\",\"Add (2,4)=97 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,7],[0,3,51],[0,4,41],[0,5,48],[1,2,8],[1,4,57],[2,4,97],[3,4,7],[3,6,27],[4,5,93],[4,6,25],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(3,4)=7,(1,2)=8,(0,1)=23,(4,6)=25,(3,6)=27,(0,4)=41,(0,5)=48,(0,3)=51,(1,4)=57,(4,5)=93,(5,6)=96,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=14\",\"Find(1)=1, Find(2)=0, Add (1,2)=8 Succeeded, w=22\",\"Find(0)=0, Find(1)=0, Add (0,1)=23 Failed, w=22\",\"Find(4)=3, Find(6)=6, Add (4,6)=25 Succeeded, w=47\",\"Find(3)=3, Find(6)=3, Add (3,6)=27 Failed, w=47\",\"Find(0)=0, Find(4)=3, Add (0,4)=41 Succeeded, w=88\",\"Find(0)=0, Find(5)=5, Add (0,5)=48 Succeeded, w=136\",\"Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=136\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=136\",\"Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=136\",\"Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=136\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,7],[0,3,51],[0,4,41],[0,5,48],[1,2,8],[1,4,57],[2,4,97],[3,4,7],[3,6,27],[4,5,93],[4,6,25],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(3,4)=7,(1,2)=8,(0,1)=23,(4,6)=25,(3,6)=27,(0,4)=41,(0,5)=48,(0,3)=51,(1,4)=57,(4,5)=93,(5,6)=96,(2,4)=97]\",\"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: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=8 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=23 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=25 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=27 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(4)=3, Add (0,4)=41 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=48 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 3}, Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,85],[0,2,99],[0,3,12],[0,4,22],[1,2,31],[1,3,88],[2,3,93]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,99],[0,3,12],[0,4,22],[1,2,31],[1,3,88],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,99],[0,3,12],[0,4,22],[1,2,31],[1,3,88],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,99],[0,3,12],[0,4,22],[1,2,31],[1,3,88],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12, w=12\",\"Add (0,4)=22, w=34\",\"Add (1,2)=31, w=65\",\"Add (0,1)=85, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,99],[0,3,12],[0,4,22],[1,2,31],[1,3,88],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12 Succeeded, w=12\",\"Add (0,4)=22 Succeeded, w=34\",\"Add (1,2)=31 Succeeded, w=65\",\"Add (0,1)=85 Succeeded, w=150\",\"Add (1,3)=88 Failed, w=150\",\"Add (2,3)=93 Failed, w=150\",\"Add (0,2)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,99],[0,3,12],[0,4,22],[1,2,31],[1,3,88],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(0,4)=22,(1,2)=31,(0,1)=85,(1,3)=88,(2,3)=93,(0,2)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=34\",\"Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=65\",\"Find(0)=0, Find(1)=1, Add (0,1)=85 Succeeded, w=150\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=150\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=150\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,99],[0,3,12],[0,4,22],[1,2,31],[1,3,88],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(0,4)=22,(1,2)=31,(0,1)=85,(1,3)=88,(2,3)=93,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=85 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,68],[0,4,53],[2,3,89],[3,4,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,68],[0,4,53],[2,3,89],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,68],[0,4,53],[2,3,89],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,68],[0,4,53],[2,3,89],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=53, w=53\",\"Add (0,3)=68, w=121\",\"Add (2,3)=89, w=210\"],\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,68],[0,4,53],[2,3,89],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=53 Succeeded, w=53\",\"Add (0,3)=68 Succeeded, w=121\",\"Add (3,4)=69 Failed, w=121\",\"Add (2,3)=89 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,68],[0,4,53],[2,3,89],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=53,(0,3)=68,(3,4)=69,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=53 Succeeded, w=53\",\"Find(0)=0, Find(3)=3, Add (0,3)=68 Succeeded, w=121\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=121\",\"Find(2)=2, Find(3)=0, Add (2,3)=89 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,68],[0,4,53],[2,3,89],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=53,(0,3)=68,(3,4)=69,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=53 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=68 Succeeded, w=121\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=121\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=89 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,45],[0,3,85],[0,5,86],[1,2,49],[1,3,69],[2,3,60],[2,4,30],[3,4,77],[3,5,4],[4,5,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,85],[0,5,86],[1,2,49],[1,3,69],[2,3,60],[2,4,30],[3,4,77],[3,5,4],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,85],[0,5,86],[1,2,49],[1,3,69],[2,3,60],[2,4,30],[3,4,77],[3,5,4],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (4,5)\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,85],[0,5,86],[1,2,49],[1,3,69],[2,3,60],[2,4,30],[3,4,77],[3,5,4],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (2,4)=30, w=34\",\"Add (0,1)=45, w=79\",\"Add (1,2)=49, w=128\",\"Add (4,5)=57, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,85],[0,5,86],[1,2,49],[1,3,69],[2,3,60],[2,4,30],[3,4,77],[3,5,4],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (2,4)=30 Succeeded, w=34\",\"Add (0,1)=45 Succeeded, w=79\",\"Add (1,2)=49 Succeeded, w=128\",\"Add (4,5)=57 Succeeded, w=185\",\"Add (2,3)=60 Failed, w=185\",\"Add (1,3)=69 Failed, w=185\",\"Add (3,4)=77 Failed, w=185\",\"Add (0,3)=85 Failed, w=185\",\"Add (0,5)=86 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,85],[0,5,86],[1,2,49],[1,3,69],[2,3,60],[2,4,30],[3,4,77],[3,5,4],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(2,4)=30,(0,1)=45,(1,2)=49,(4,5)=57,(2,3)=60,(1,3)=69,(3,4)=77,(0,3)=85,(0,5)=86]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=79\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=128\",\"Find(4)=0, Find(5)=3, Add (4,5)=57 Succeeded, w=185\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=185\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=185\",\"Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=185\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=185\",\"Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,85],[0,5,86],[1,2,49],[1,3,69],[2,3,60],[2,4,30],[3,4,77],[3,5,4],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(2,4)=30,(0,1)=45,(1,2)=49,(4,5)=57,(2,3)=60,(1,3)=69,(3,4)=77,(0,3)=85,(0,5)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 3}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(4)=0, Find(5)=3, Add (4,5)=57 Succeeded, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,2,52],[0,3,73],[0,6,7],[1,2,63],[1,3,91],[1,4,14],[1,6,30],[2,5,13],[2,7,0],[3,4,74],[3,5,76],[3,6,47],[3,7,9],[4,5,36],[4,6,74],[4,7,85],[5,6,75],[5,7,6],[6,7,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,52],[0,3,73],[0,6,7],[1,2,63],[1,3,91],[1,4,14],[1,6,30],[2,5,13],[2,7,0],[3,4,74],[3,5,76],[3,6,47],[3,7,9],[4,5,36],[4,6,74],[4,7,85],[5,6,75],[5,7,6],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,52],[0,3,73],[0,6,7],[1,2,63],[1,3,91],[1,4,14],[1,6,30],[2,5,13],[2,7,0],[3,4,74],[3,5,76],[3,6,47],[3,7,9],[4,5,36],[4,6,74],[4,7,85],[5,6,75],[5,7,6],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (5,7)\",\"Add (0,6)\",\"Add (3,7)\",\"Add (1,4)\",\"Add (6,7)\",\"Add (1,6)\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,52],[0,3,73],[0,6,7],[1,2,63],[1,3,91],[1,4,14],[1,6,30],[2,5,13],[2,7,0],[3,4,74],[3,5,76],[3,6,47],[3,7,9],[4,5,36],[4,6,74],[4,7,85],[5,6,75],[5,7,6],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=0, w=0\",\"Add (5,7)=6, w=6\",\"Add (0,6)=7, w=13\",\"Add (3,7)=9, w=22\",\"Add (1,4)=14, w=36\",\"Add (6,7)=25, w=61\",\"Add (1,6)=30, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,52],[0,3,73],[0,6,7],[1,2,63],[1,3,91],[1,4,14],[1,6,30],[2,5,13],[2,7,0],[3,4,74],[3,5,76],[3,6,47],[3,7,9],[4,5,36],[4,6,74],[4,7,85],[5,6,75],[5,7,6],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=0 Succeeded, w=0\",\"Add (5,7)=6 Succeeded, w=6\",\"Add (0,6)=7 Succeeded, w=13\",\"Add (3,7)=9 Succeeded, w=22\",\"Add (2,5)=13 Failed, w=22\",\"Add (1,4)=14 Succeeded, w=36\",\"Add (6,7)=25 Succeeded, w=61\",\"Add (1,6)=30 Succeeded, w=91\",\"Add (4,5)=36 Failed, w=91\",\"Add (3,6)=47 Failed, w=91\",\"Add (0,1)=48 Failed, w=91\",\"Add (0,2)=52 Failed, w=91\",\"Add (1,2)=63 Failed, w=91\",\"Add (0,3)=73 Failed, w=91\",\"Add (3,4)=74 Failed, w=91\",\"Add (4,6)=74 Failed, w=91\",\"Add (5,6)=75 Failed, w=91\",\"Add (3,5)=76 Failed, w=91\",\"Add (4,7)=85 Failed, w=91\",\"Add (1,3)=91 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,52],[0,3,73],[0,6,7],[1,2,63],[1,3,91],[1,4,14],[1,6,30],[2,5,13],[2,7,0],[3,4,74],[3,5,76],[3,6,47],[3,7,9],[4,5,36],[4,6,74],[4,7,85],[5,6,75],[5,7,6],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=0,(5,7)=6,(0,6)=7,(3,7)=9,(2,5)=13,(1,4)=14,(6,7)=25,(1,6)=30,(4,5)=36,(3,6)=47,(0,1)=48,(0,2)=52,(1,2)=63,(0,3)=73,(3,4)=74,(4,6)=74,(5,6)=75,(3,5)=76,(4,7)=85,(1,3)=91]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Find(5)=5, Find(7)=2, Add (5,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=13\",\"Find(3)=3, Find(7)=2, Add (3,7)=9 Succeeded, w=22\",\"Find(2)=2, Find(5)=2, Add (2,5)=13 Failed, w=22\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=36\",\"Find(6)=0, Find(7)=2, Add (6,7)=25 Succeeded, w=61\",\"Find(1)=1, Find(6)=0, Add (1,6)=30 Succeeded, w=91\",\"Find(4)=0, Find(5)=0, Add (4,5)=36 Failed, w=91\",\"Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=91\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=91\",\"Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=91\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=91\",\"Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=91\",\"Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=91\",\"Find(5)=0, Find(6)=0, Add (5,6)=75 Failed, w=91\",\"Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=91\",\"Find(4)=0, Find(7)=0, Add (4,7)=85 Failed, w=91\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,52],[0,3,73],[0,6,7],[1,2,63],[1,3,91],[1,4,14],[1,6,30],[2,5,13],[2,7,0],[3,4,74],[3,5,76],[3,6,47],[3,7,9],[4,5,36],[4,6,74],[4,7,85],[5,6,75],[5,7,6],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=0,(5,7)=6,(0,6)=7,(3,7)=9,(2,5)=13,(1,4)=14,(6,7)=25,(1,6)=30,(4,5)=36,(3,6)=47,(0,1)=48,(0,2)=52,(1,2)=63,(0,3)=73,(3,4)=74,(4,6)=74,(5,6)=75,(3,5)=76,(4,7)=85,(1,3)=91]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 2}, Find(5)=5, Find(7)=2, Add (5,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 2}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 0, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=9 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=13 Failed, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 0, 7: 2}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 1, 5: 2, 6: 0, 7: 2}, Find(6)=0, Find(7)=2, Add (6,7)=25 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 1, 5: 2, 6: 0, 7: 2}, Find(1)=1, Find(6)=0, Add (1,6)=30 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 2}, Find(4)=0, Find(5)=0, Add (4,5)=36 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(5)=0, Find(6)=0, Add (5,6)=75 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=85 Failed, w=91\",\"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)=91 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,87],[0,2,85],[0,3,20],[0,4,23],[1,2,88],[1,3,82],[1,4,82],[2,3,38],[2,4,14]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,85],[0,3,20],[0,4,23],[1,2,88],[1,3,82],[1,4,82],[2,3,38],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,85],[0,3,20],[0,4,23],[1,2,88],[1,3,82],[1,4,82],[2,3,38],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,85],[0,3,20],[0,4,23],[1,2,88],[1,3,82],[1,4,82],[2,3,38],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14, w=14\",\"Add (0,3)=20, w=34\",\"Add (0,4)=23, w=57\",\"Add (1,3)=82, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,85],[0,3,20],[0,4,23],[1,2,88],[1,3,82],[1,4,82],[2,3,38],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14 Succeeded, w=14\",\"Add (0,3)=20 Succeeded, w=34\",\"Add (0,4)=23 Succeeded, w=57\",\"Add (2,3)=38 Failed, w=57\",\"Add (1,3)=82 Succeeded, w=139\",\"Add (1,4)=82 Failed, w=139\",\"Add (0,2)=85 Failed, w=139\",\"Add (0,1)=87 Failed, w=139\",\"Add (1,2)=88 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,85],[0,3,20],[0,4,23],[1,2,88],[1,3,82],[1,4,82],[2,3,38],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(0,3)=20,(0,4)=23,(2,3)=38,(1,3)=82,(1,4)=82,(0,2)=85,(0,1)=87,(1,2)=88]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=34\",\"Find(0)=0, Find(4)=2, Add (0,4)=23 Succeeded, w=57\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=57\",\"Find(1)=1, Find(3)=0, Add (1,3)=82 Succeeded, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=139\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=139\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=139\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,85],[0,3,20],[0,4,23],[1,2,88],[1,3,82],[1,4,82],[2,3,38],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(0,3)=20,(0,4)=23,(2,3)=38,(1,3)=82,(1,4)=82,(0,2)=85,(0,1)=87,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=23 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=1, Find(3)=0, Add (1,3)=82 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,7],[0,2,79],[0,3,24],[0,4,61],[0,5,64],[0,6,94],[0,7,20],[1,2,38],[1,3,18],[1,4,38],[1,5,32],[1,6,86],[1,7,48],[2,3,65],[2,4,61],[2,5,35],[2,6,2],[2,7,98],[3,4,58],[3,5,19],[3,6,32],[3,7,9],[4,5,29],[4,6,54],[4,7,34],[5,6,55],[5,7,52],[6,7,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,79],[0,3,24],[0,4,61],[0,5,64],[0,6,94],[0,7,20],[1,2,38],[1,3,18],[1,4,38],[1,5,32],[1,6,86],[1,7,48],[2,3,65],[2,4,61],[2,5,35],[2,6,2],[2,7,98],[3,4,58],[3,5,19],[3,6,32],[3,7,9],[4,5,29],[4,6,54],[4,7,34],[5,6,55],[5,7,52],[6,7,52]]}",
"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\":[[0,1,7],[0,2,79],[0,3,24],[0,4,61],[0,5,64],[0,6,94],[0,7,20],[1,2,38],[1,3,18],[1,4,38],[1,5,32],[1,6,86],[1,7,48],[2,3,65],[2,4,61],[2,5,35],[2,6,2],[2,7,98],[3,4,58],[3,5,19],[3,6,32],[3,7,9],[4,5,29],[4,6,54],[4,7,34],[5,6,55],[5,7,52],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,1)\",\"Add (3,7)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,79],[0,3,24],[0,4,61],[0,5,64],[0,6,94],[0,7,20],[1,2,38],[1,3,18],[1,4,38],[1,5,32],[1,6,86],[1,7,48],[2,3,65],[2,4,61],[2,5,35],[2,6,2],[2,7,98],[3,4,58],[3,5,19],[3,6,32],[3,7,9],[4,5,29],[4,6,54],[4,7,34],[5,6,55],[5,7,52],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2, w=2\",\"Add (0,1)=7, w=9\",\"Add (3,7)=9, w=18\",\"Add (1,3)=18, w=36\",\"Add (3,5)=19, w=55\",\"Add (4,5)=29, w=84\",\"Add (3,6)=32, 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\":[[0,1,7],[0,2,79],[0,3,24],[0,4,61],[0,5,64],[0,6,94],[0,7,20],[1,2,38],[1,3,18],[1,4,38],[1,5,32],[1,6,86],[1,7,48],[2,3,65],[2,4,61],[2,5,35],[2,6,2],[2,7,98],[3,4,58],[3,5,19],[3,6,32],[3,7,9],[4,5,29],[4,6,54],[4,7,34],[5,6,55],[5,7,52],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2 Succeeded, w=2\",\"Add (0,1)=7 Succeeded, w=9\",\"Add (3,7)=9 Succeeded, w=18\",\"Add (1,3)=18 Succeeded, w=36\",\"Add (3,5)=19 Succeeded, w=55\",\"Add (0,7)=20 Failed, w=55\",\"Add (0,3)=24 Failed, w=55\",\"Add (4,5)=29 Succeeded, w=84\",\"Add (1,5)=32 Failed, w=84\",\"Add (3,6)=32 Succeeded, w=116\",\"Add (4,7)=34 Failed, w=116\",\"Add (2,5)=35 Failed, w=116\",\"Add (1,2)=38 Failed, w=116\",\"Add (1,4)=38 Failed, w=116\",\"Add (1,7)=48 Failed, w=116\",\"Add (5,7)=52 Failed, w=116\",\"Add (6,7)=52 Failed, w=116\",\"Add (4,6)=54 Failed, w=116\",\"Add (5,6)=55 Failed, w=116\",\"Add (3,4)=58 Failed, w=116\",\"Add (0,4)=61 Failed, w=116\",\"Add (2,4)=61 Failed, w=116\",\"Add (0,5)=64 Failed, w=116\",\"Add (2,3)=65 Failed, w=116\",\"Add (0,2)=79 Failed, w=116\",\"Add (1,6)=86 Failed, w=116\",\"Add (0,6)=94 Failed, w=116\",\"Add (2,7)=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\":[[0,1,7],[0,2,79],[0,3,24],[0,4,61],[0,5,64],[0,6,94],[0,7,20],[1,2,38],[1,3,18],[1,4,38],[1,5,32],[1,6,86],[1,7,48],[2,3,65],[2,4,61],[2,5,35],[2,6,2],[2,7,98],[3,4,58],[3,5,19],[3,6,32],[3,7,9],[4,5,29],[4,6,54],[4,7,34],[5,6,55],[5,7,52],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(0,1)=7,(3,7)=9,(1,3)=18,(3,5)=19,(0,7)=20,(0,3)=24,(4,5)=29,(1,5)=32,(3,6)=32,(4,7)=34,(2,5)=35,(1,2)=38,(1,4)=38,(1,7)=48,(5,7)=52,(6,7)=52,(4,6)=54,(5,6)=55,(3,4)=58,(0,4)=61,(2,4)=61,(0,5)=64,(2,3)=65,(0,2)=79,(1,6)=86,(0,6)=94,(2,7)=98]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=9\",\"Find(3)=3, Find(7)=7, Add (3,7)=9 Succeeded, w=18\",\"Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=36\",\"Find(3)=0, Find(5)=5, Add (3,5)=19 Succeeded, w=55\",\"Find(0)=0, Find(7)=0, Add (0,7)=20 Failed, w=55\",\"Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=55\",\"Find(4)=4, Find(5)=0, Add (4,5)=29 Succeeded, w=84\",\"Find(1)=0, Find(5)=0, Add (1,5)=32 Failed, w=84\",\"Find(3)=0, Find(6)=2, Add (3,6)=32 Succeeded, w=116\",\"Find(4)=0, Find(7)=0, Add (4,7)=34 Failed, w=116\",\"Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=116\",\"Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=116\",\"Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=116\",\"Find(1)=0, Find(7)=0, Add (1,7)=48 Failed, w=116\",\"Find(5)=0, Find(7)=0, Add (5,7)=52 Failed, w=116\",\"Find(6)=0, Find(7)=0, Add (6,7)=52 Failed, w=116\",\"Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=116\",\"Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=116\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=116\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=116\",\"Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=116\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=116\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=116\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=116\",\"Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=116\",\"Find(0)=0, Find(6)=0, Add (0,6)=94 Failed, w=116\",\"Find(2)=0, Find(7)=0, Add (2,7)=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\":[[0,1,7],[0,2,79],[0,3,24],[0,4,61],[0,5,64],[0,6,94],[0,7,20],[1,2,38],[1,3,18],[1,4,38],[1,5,32],[1,6,86],[1,7,48],[2,3,65],[2,4,61],[2,5,35],[2,6,2],[2,7,98],[3,4,58],[3,5,19],[3,6,32],[3,7,9],[4,5,29],[4,6,54],[4,7,34],[5,6,55],[5,7,52],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(0,1)=7,(3,7)=9,(1,3)=18,(3,5)=19,(0,7)=20,(0,3)=24,(4,5)=29,(1,5)=32,(3,6)=32,(4,7)=34,(2,5)=35,(1,2)=38,(1,4)=38,(1,7)=48,(5,7)=52,(6,7)=52,(4,6)=54,(5,6)=55,(3,4)=58,(0,4)=61,(2,4)=61,(0,5)=64,(2,3)=65,(0,2)=79,(1,6)=86,(0,6)=94,(2,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 3}, Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2, 7: 3}, Find(3)=0, Find(5)=5, Add (3,5)=19 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=20 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(4)=4, Find(5)=0, Add (4,5)=29 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=32 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(6)=2, Add (3,6)=32 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=34 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=48 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=52 Failed, w=116\",\"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)=52 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=116\",\"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)=55 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=94 Failed, w=116\",\"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)=98 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,55],[0,2,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=34, w=34\",\"Add (0,1)=55, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=34 Succeeded, w=34\",\"Add (0,1)=55 Succeeded, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=34,(0,1)=55]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=34,(0,1)=55]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,59],[0,4,38],[1,3,21],[2,3,63],[2,4,99]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,59],[0,4,38],[1,3,21],[2,3,63],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,59],[0,4,38],[1,3,21],[2,3,63],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,59],[0,4,38],[1,3,21],[2,3,63],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21, w=21\",\"Add (0,4)=38, w=59\",\"Add (0,2)=59, w=118\",\"Add (2,3)=63, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,59],[0,4,38],[1,3,21],[2,3,63],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21 Succeeded, w=21\",\"Add (0,4)=38 Succeeded, w=59\",\"Add (0,2)=59 Succeeded, w=118\",\"Add (2,3)=63 Succeeded, w=181\",\"Add (2,4)=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],\"edges\":[[0,2,59],[0,4,38],[1,3,21],[2,3,63],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(0,4)=38,(0,2)=59,(2,3)=63,(2,4)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=59\",\"Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=118\",\"Find(2)=0, Find(3)=1, Add (2,3)=63 Succeeded, w=181\",\"Find(2)=0, Find(4)=0, Add (2,4)=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],\"edges\":[[0,2,59],[0,4,38],[1,3,21],[2,3,63],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(0,4)=38,(0,2)=59,(2,3)=63,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(3)=1, Add (2,3)=63 Succeeded, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,64],[0,2,94],[0,3,15],[1,2,40],[1,3,15],[2,3,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,94],[0,3,15],[1,2,40],[1,3,15],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,94],[0,3,15],[1,2,40],[1,3,15],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,94],[0,3,15],[1,2,40],[1,3,15],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (1,3)=15, w=30\",\"Add (1,2)=40, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,94],[0,3,15],[1,2,40],[1,3,15],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (1,3)=15 Succeeded, w=30\",\"Add (1,2)=40 Succeeded, w=70\",\"Add (0,1)=64 Failed, w=70\",\"Add (2,3)=72 Failed, w=70\",\"Add (0,2)=94 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,94],[0,3,15],[1,2,40],[1,3,15],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(1,3)=15,(1,2)=40,(0,1)=64,(2,3)=72,(0,2)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=0, Add (1,3)=15 Succeeded, w=30\",\"Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=70\",\"Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=70\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=70\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,94],[0,3,15],[1,2,40],[1,3,15],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(1,3)=15,(1,2)=40,(0,1)=64,(2,3)=72,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,21],[0,4,36],[0,5,95],[0,6,31],[0,7,50],[1,2,38],[1,4,78],[1,5,43],[1,7,24],[2,3,100],[2,4,43],[2,5,19],[2,6,76],[3,4,88],[3,5,78],[3,6,11],[3,7,43],[4,5,36],[6,7,93]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,4,36],[0,5,95],[0,6,31],[0,7,50],[1,2,38],[1,4,78],[1,5,43],[1,7,24],[2,3,100],[2,4,43],[2,5,19],[2,6,76],[3,4,88],[3,5,78],[3,6,11],[3,7,43],[4,5,36],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,4,36],[0,5,95],[0,6,31],[0,7,50],[1,2,38],[1,4,78],[1,5,43],[1,7,24],[2,3,100],[2,4,43],[2,5,19],[2,6,76],[3,4,88],[3,5,78],[3,6,11],[3,7,43],[4,5,36],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,4,36],[0,5,95],[0,6,31],[0,7,50],[1,2,38],[1,4,78],[1,5,43],[1,7,24],[2,3,100],[2,4,43],[2,5,19],[2,6,76],[3,4,88],[3,5,78],[3,6,11],[3,7,43],[4,5,36],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=11, w=11\",\"Add (2,5)=19, w=30\",\"Add (0,3)=21, w=51\",\"Add (1,7)=24, w=75\",\"Add (0,4)=36, w=111\",\"Add (4,5)=36, w=147\",\"Add (1,2)=38, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,4,36],[0,5,95],[0,6,31],[0,7,50],[1,2,38],[1,4,78],[1,5,43],[1,7,24],[2,3,100],[2,4,43],[2,5,19],[2,6,76],[3,4,88],[3,5,78],[3,6,11],[3,7,43],[4,5,36],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=11 Succeeded, w=11\",\"Add (2,5)=19 Succeeded, w=30\",\"Add (0,3)=21 Succeeded, w=51\",\"Add (1,7)=24 Succeeded, w=75\",\"Add (0,6)=31 Failed, w=75\",\"Add (0,4)=36 Succeeded, w=111\",\"Add (4,5)=36 Succeeded, w=147\",\"Add (1,2)=38 Succeeded, w=185\",\"Add (1,5)=43 Failed, w=185\",\"Add (2,4)=43 Failed, w=185\",\"Add (3,7)=43 Failed, w=185\",\"Add (0,7)=50 Failed, w=185\",\"Add (2,6)=76 Failed, w=185\",\"Add (1,4)=78 Failed, w=185\",\"Add (3,5)=78 Failed, w=185\",\"Add (3,4)=88 Failed, w=185\",\"Add (6,7)=93 Failed, w=185\",\"Add (0,5)=95 Failed, w=185\",\"Add (2,3)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,4,36],[0,5,95],[0,6,31],[0,7,50],[1,2,38],[1,4,78],[1,5,43],[1,7,24],[2,3,100],[2,4,43],[2,5,19],[2,6,76],[3,4,88],[3,5,78],[3,6,11],[3,7,43],[4,5,36],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=11,(2,5)=19,(0,3)=21,(1,7)=24,(0,6)=31,(0,4)=36,(4,5)=36,(1,2)=38,(1,5)=43,(2,4)=43,(3,7)=43,(0,7)=50,(2,6)=76,(1,4)=78,(3,5)=78,(3,4)=88,(6,7)=93,(0,5)=95,(2,3)=100]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=11\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=51\",\"Find(1)=1, Find(7)=7, Add (1,7)=24 Succeeded, w=75\",\"Find(0)=3, Find(6)=3, Add (0,6)=31 Failed, w=75\",\"Find(0)=3, Find(4)=4, Add (0,4)=36 Succeeded, w=111\",\"Find(4)=3, Find(5)=2, Add (4,5)=36 Succeeded, w=147\",\"Find(1)=1, Find(2)=3, Add (1,2)=38 Succeeded, w=185\",\"Find(1)=3, Find(5)=3, Add (1,5)=43 Failed, w=185\",\"Find(2)=3, Find(4)=3, Add (2,4)=43 Failed, w=185\",\"Find(3)=3, Find(7)=3, Add (3,7)=43 Failed, w=185\",\"Find(0)=3, Find(7)=3, Add (0,7)=50 Failed, w=185\",\"Find(2)=3, Find(6)=3, Add (2,6)=76 Failed, w=185\",\"Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=185\",\"Find(3)=3, Find(5)=3, Add (3,5)=78 Failed, w=185\",\"Find(3)=3, Find(4)=3, Add (3,4)=88 Failed, w=185\",\"Find(6)=3, Find(7)=3, Add (6,7)=93 Failed, w=185\",\"Find(0)=3, Find(5)=3, Add (0,5)=95 Failed, w=185\",\"Find(2)=3, Find(3)=3, Add (2,3)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,4,36],[0,5,95],[0,6,31],[0,7,50],[1,2,38],[1,4,78],[1,5,43],[1,7,24],[2,3,100],[2,4,43],[2,5,19],[2,6,76],[3,4,88],[3,5,78],[3,6,11],[3,7,43],[4,5,36],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=11,(2,5)=19,(0,3)=21,(1,7)=24,(0,6)=31,(0,4)=36,(4,5)=36,(1,2)=38,(1,5)=43,(2,4)=43,(3,7)=43,(0,7)=50,(2,6)=76,(1,4)=78,(3,5)=78,(3,4)=88,(6,7)=93,(0,5)=95,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=30\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=51\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=24 Succeeded, w=75\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 1}, Find(0)=3, Find(6)=3, Add (0,6)=31 Failed, w=75\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 3, 7: 1}, Find(0)=3, Find(4)=4, Add (0,4)=36 Succeeded, w=111\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 1}, Find(4)=3, Find(5)=2, Add (4,5)=36 Succeeded, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 1}, Find(1)=1, Find(2)=3, Add (1,2)=38 Succeeded, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(5)=3, Add (1,5)=43 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(2)=3, Find(4)=3, Add (2,4)=43 Failed, w=185\",\"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)=43 Failed, w=185\",\"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)=50 Failed, w=185\",\"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)=76 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=185\",\"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)=78 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=88 Failed, w=185\",\"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=185\",\"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)=95 Failed, w=185\",\"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)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,81],[1,2,26],[1,3,76],[1,5,9],[2,3,11],[2,4,22],[3,4,13],[3,5,34],[4,5,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,81],[1,2,26],[1,3,76],[1,5,9],[2,3,11],[2,4,22],[3,4,13],[3,5,34],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,81],[1,2,26],[1,3,76],[1,5,9],[2,3,11],[2,4,22],[3,4,13],[3,5,34],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,81],[1,2,26],[1,3,76],[1,5,9],[2,3,11],[2,4,22],[3,4,13],[3,5,34],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9, w=9\",\"Add (2,3)=11, w=20\",\"Add (3,4)=13, w=33\",\"Add (1,2)=26, w=59\",\"Add (0,3)=81, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,81],[1,2,26],[1,3,76],[1,5,9],[2,3,11],[2,4,22],[3,4,13],[3,5,34],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9 Succeeded, w=9\",\"Add (2,3)=11 Succeeded, w=20\",\"Add (3,4)=13 Succeeded, w=33\",\"Add (2,4)=22 Failed, w=33\",\"Add (1,2)=26 Succeeded, w=59\",\"Add (3,5)=34 Failed, w=59\",\"Add (1,3)=76 Failed, w=59\",\"Add (4,5)=79 Failed, w=59\",\"Add (0,3)=81 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,81],[1,2,26],[1,3,76],[1,5,9],[2,3,11],[2,4,22],[3,4,13],[3,5,34],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(2,3)=11,(3,4)=13,(2,4)=22,(1,2)=26,(3,5)=34,(1,3)=76,(4,5)=79,(0,3)=81]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=20\",\"Find(3)=2, Find(4)=4, Add (3,4)=13 Succeeded, w=33\",\"Find(2)=2, Find(4)=2, Add (2,4)=22 Failed, w=33\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=59\",\"Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=59\",\"Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=59\",\"Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=59\",\"Find(0)=0, Find(3)=1, Add (0,3)=81 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,81],[1,2,26],[1,3,76],[1,5,9],[2,3,11],[2,4,22],[3,4,13],[3,5,34],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(2,3)=11,(3,4)=13,(2,4)=22,(1,2)=26,(3,5)=34,(1,3)=76,(4,5)=79,(0,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(4)=4, Add (3,4)=13 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(2)=2, Find(4)=2, Add (2,4)=22 Failed, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=81 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,56],[0,3,96],[1,3,19],[2,3,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[0,3,96],[1,3,19],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[0,3,96],[1,3,19],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[0,3,96],[1,3,19],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19, w=19\",\"Add (2,3)=26, w=45\",\"Add (0,2)=56, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[0,3,96],[1,3,19],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19 Succeeded, w=19\",\"Add (2,3)=26 Succeeded, w=45\",\"Add (0,2)=56 Succeeded, w=101\",\"Add (0,3)=96 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[0,3,96],[1,3,19],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(2,3)=26,(0,2)=56,(0,3)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Find(2)=2, Find(3)=1, Add (2,3)=26 Succeeded, w=45\",\"Find(0)=0, Find(2)=1, Add (0,2)=56 Succeeded, w=101\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,56],[0,3,96],[1,3,19],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(2,3)=26,(0,2)=56,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=26 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=56 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,83],[0,5,40],[0,7,88],[1,2,73],[1,5,17],[1,6,90],[2,4,57],[2,5,61],[2,7,31],[3,5,78],[4,6,32],[4,7,16],[5,6,81],[5,7,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,83],[0,5,40],[0,7,88],[1,2,73],[1,5,17],[1,6,90],[2,4,57],[2,5,61],[2,7,31],[3,5,78],[4,6,32],[4,7,16],[5,6,81],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,83],[0,5,40],[0,7,88],[1,2,73],[1,5,17],[1,6,90],[2,4,57],[2,5,61],[2,7,31],[3,5,78],[4,6,32],[4,7,16],[5,6,81],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (1,5)\",\"Add (2,7)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (5,7)\",\"Add (3,5)\"],\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,83],[0,5,40],[0,7,88],[1,2,73],[1,5,17],[1,6,90],[2,4,57],[2,5,61],[2,7,31],[3,5,78],[4,6,32],[4,7,16],[5,6,81],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=16, w=16\",\"Add (1,5)=17, w=33\",\"Add (2,7)=31, w=64\",\"Add (4,6)=32, w=96\",\"Add (0,5)=40, w=136\",\"Add (5,7)=57, w=193\",\"Add (3,5)=78, w=271\"],\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,83],[0,5,40],[0,7,88],[1,2,73],[1,5,17],[1,6,90],[2,4,57],[2,5,61],[2,7,31],[3,5,78],[4,6,32],[4,7,16],[5,6,81],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=16 Succeeded, w=16\",\"Add (1,5)=17 Succeeded, w=33\",\"Add (2,7)=31 Succeeded, w=64\",\"Add (4,6)=32 Succeeded, w=96\",\"Add (0,5)=40 Succeeded, w=136\",\"Add (2,4)=57 Failed, w=136\",\"Add (5,7)=57 Succeeded, w=193\",\"Add (2,5)=61 Failed, w=193\",\"Add (1,2)=73 Failed, w=193\",\"Add (3,5)=78 Succeeded, w=271\",\"Add (5,6)=81 Failed, w=271\",\"Add (0,2)=83 Failed, w=271\",\"Add (0,7)=88 Failed, w=271\",\"Add (1,6)=90 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,83],[0,5,40],[0,7,88],[1,2,73],[1,5,17],[1,6,90],[2,4,57],[2,5,61],[2,7,31],[3,5,78],[4,6,32],[4,7,16],[5,6,81],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=16,(1,5)=17,(2,7)=31,(4,6)=32,(0,5)=40,(2,4)=57,(5,7)=57,(2,5)=61,(1,2)=73,(3,5)=78,(5,6)=81,(0,2)=83,(0,7)=88,(1,6)=90]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=16 Succeeded, w=16\",\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=33\",\"Find(2)=2, Find(7)=4, Add (2,7)=31 Succeeded, w=64\",\"Find(4)=4, Find(6)=6, Add (4,6)=32 Succeeded, w=96\",\"Find(0)=0, Find(5)=1, Add (0,5)=40 Succeeded, w=136\",\"Find(2)=4, Find(4)=4, Add (2,4)=57 Failed, w=136\",\"Find(5)=1, Find(7)=4, Add (5,7)=57 Succeeded, w=193\",\"Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=193\",\"Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=193\",\"Find(3)=3, Find(5)=1, Add (3,5)=78 Succeeded, w=271\",\"Find(5)=1, Find(6)=1, Add (5,6)=81 Failed, w=271\",\"Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=271\",\"Find(0)=1, Find(7)=1, Add (0,7)=88 Failed, w=271\",\"Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,83],[0,5,40],[0,7,88],[1,2,73],[1,5,17],[1,6,90],[2,4,57],[2,5,61],[2,7,31],[3,5,78],[4,6,32],[4,7,16],[5,6,81],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=16,(1,5)=17,(2,7)=31,(4,6)=32,(0,5)=40,(2,4)=57,(5,7)=57,(2,5)=61,(1,2)=73,(3,5)=78,(5,6)=81,(0,2)=83,(0,7)=88,(1,6)=90]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 4}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 1, 6: 6, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=31 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 1, 6: 4, 7: 4}, Find(4)=4, Find(6)=6, Add (4,6)=32 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 3, 4: 4, 5: 1, 6: 4, 7: 4}, Find(0)=0, Find(5)=1, Add (0,5)=40 Succeeded, w=136\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 3, 4: 4, 5: 1, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=57 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 3, 4: 1, 5: 1, 6: 4, 7: 4}, Find(5)=1, Find(7)=4, Add (5,7)=57 Succeeded, w=193\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 4, 7: 4}, Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=193\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 4, 7: 4}, Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=193\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 4}, Find(3)=3, Find(5)=1, Add (3,5)=78 Succeeded, w=271\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(5)=1, Find(6)=1, Add (5,6)=81 Failed, w=271\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=271\",\"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)=88 Failed, w=271\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,2,42],[0,3,77],[0,4,98],[1,2,68],[1,3,87],[1,4,99],[3,4,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,42],[0,3,77],[0,4,98],[1,2,68],[1,3,87],[1,4,99],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":251}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,42],[0,3,77],[0,4,98],[1,2,68],[1,3,87],[1,4,99],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":251}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,42],[0,3,77],[0,4,98],[1,2,68],[1,3,87],[1,4,99],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=42, w=42\",\"Add (3,4)=64, w=106\",\"Add (1,2)=68, w=174\",\"Add (0,3)=77, w=251\"],\"Answer\":251}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,42],[0,3,77],[0,4,98],[1,2,68],[1,3,87],[1,4,99],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=42 Succeeded, w=42\",\"Add (3,4)=64 Succeeded, w=106\",\"Add (1,2)=68 Succeeded, w=174\",\"Add (0,1)=76 Failed, w=174\",\"Add (0,3)=77 Succeeded, w=251\",\"Add (1,3)=87 Failed, w=251\",\"Add (0,4)=98 Failed, w=251\",\"Add (1,4)=99 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,42],[0,3,77],[0,4,98],[1,2,68],[1,3,87],[1,4,99],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=42,(3,4)=64,(1,2)=68,(0,1)=76,(0,3)=77,(1,3)=87,(0,4)=98,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=42\",\"Find(3)=3, Find(4)=4, Add (3,4)=64 Succeeded, w=106\",\"Find(1)=1, Find(2)=0, Add (1,2)=68 Succeeded, w=174\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=174\",\"Find(0)=0, Find(3)=3, Add (0,3)=77 Succeeded, w=251\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=251\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=251\",\"Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,42],[0,3,77],[0,4,98],[1,2,68],[1,3,87],[1,4,99],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=42,(3,4)=64,(1,2)=68,(0,1)=76,(0,3)=77,(1,3)=87,(0,4)=98,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=64 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(2)=0, Add (1,2)=68 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=77 Succeeded, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,87],[0,2,35],[0,3,26],[0,4,47],[0,6,69],[0,7,1],[1,2,26],[1,3,25],[1,4,100],[1,5,41],[1,6,22],[1,7,27],[2,4,18],[2,5,90],[2,6,75],[2,7,20],[3,4,77],[3,5,28],[3,6,21],[3,7,43],[4,5,97],[4,6,34],[4,7,82],[5,6,23],[5,7,22],[6,7,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,35],[0,3,26],[0,4,47],[0,6,69],[0,7,1],[1,2,26],[1,3,25],[1,4,100],[1,5,41],[1,6,22],[1,7,27],[2,4,18],[2,5,90],[2,6,75],[2,7,20],[3,4,77],[3,5,28],[3,6,21],[3,7,43],[4,5,97],[4,6,34],[4,7,82],[5,6,23],[5,7,22],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,35],[0,3,26],[0,4,47],[0,6,69],[0,7,1],[1,2,26],[1,3,25],[1,4,100],[1,5,41],[1,6,22],[1,7,27],[2,4,18],[2,5,90],[2,6,75],[2,7,20],[3,4,77],[3,5,28],[3,6,21],[3,7,43],[4,5,97],[4,6,34],[4,7,82],[5,6,23],[5,7,22],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (6,7)\",\"Add (2,4)\",\"Add (2,7)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (5,7)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,35],[0,3,26],[0,4,47],[0,6,69],[0,7,1],[1,2,26],[1,3,25],[1,4,100],[1,5,41],[1,6,22],[1,7,27],[2,4,18],[2,5,90],[2,6,75],[2,7,20],[3,4,77],[3,5,28],[3,6,21],[3,7,43],[4,5,97],[4,6,34],[4,7,82],[5,6,23],[5,7,22],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1, w=1\",\"Add (6,7)=11, w=12\",\"Add (2,4)=18, w=30\",\"Add (2,7)=20, w=50\",\"Add (3,6)=21, w=71\",\"Add (1,6)=22, w=93\",\"Add (5,7)=22, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,35],[0,3,26],[0,4,47],[0,6,69],[0,7,1],[1,2,26],[1,3,25],[1,4,100],[1,5,41],[1,6,22],[1,7,27],[2,4,18],[2,5,90],[2,6,75],[2,7,20],[3,4,77],[3,5,28],[3,6,21],[3,7,43],[4,5,97],[4,6,34],[4,7,82],[5,6,23],[5,7,22],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1 Succeeded, w=1\",\"Add (6,7)=11 Succeeded, w=12\",\"Add (2,4)=18 Succeeded, w=30\",\"Add (2,7)=20 Succeeded, w=50\",\"Add (3,6)=21 Succeeded, w=71\",\"Add (1,6)=22 Succeeded, w=93\",\"Add (5,7)=22 Succeeded, w=115\",\"Add (5,6)=23 Failed, w=115\",\"Add (1,3)=25 Failed, w=115\",\"Add (0,3)=26 Failed, w=115\",\"Add (1,2)=26 Failed, w=115\",\"Add (1,7)=27 Failed, w=115\",\"Add (3,5)=28 Failed, w=115\",\"Add (4,6)=34 Failed, w=115\",\"Add (0,2)=35 Failed, w=115\",\"Add (1,5)=41 Failed, w=115\",\"Add (3,7)=43 Failed, w=115\",\"Add (0,4)=47 Failed, w=115\",\"Add (0,6)=69 Failed, w=115\",\"Add (2,6)=75 Failed, w=115\",\"Add (3,4)=77 Failed, w=115\",\"Add (4,7)=82 Failed, w=115\",\"Add (0,1)=87 Failed, w=115\",\"Add (2,5)=90 Failed, w=115\",\"Add (4,5)=97 Failed, w=115\",\"Add (1,4)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,35],[0,3,26],[0,4,47],[0,6,69],[0,7,1],[1,2,26],[1,3,25],[1,4,100],[1,5,41],[1,6,22],[1,7,27],[2,4,18],[2,5,90],[2,6,75],[2,7,20],[3,4,77],[3,5,28],[3,6,21],[3,7,43],[4,5,97],[4,6,34],[4,7,82],[5,6,23],[5,7,22],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(6,7)=11,(2,4)=18,(2,7)=20,(3,6)=21,(1,6)=22,(5,7)=22,(5,6)=23,(1,3)=25,(0,3)=26,(1,2)=26,(1,7)=27,(3,5)=28,(4,6)=34,(0,2)=35,(1,5)=41,(3,7)=43,(0,4)=47,(0,6)=69,(2,6)=75,(3,4)=77,(4,7)=82,(0,1)=87,(2,5)=90,(4,5)=97,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=1 Succeeded, w=1\",\"Find(6)=6, Find(7)=0, Add (6,7)=11 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=30\",\"Find(2)=2, Find(7)=0, Add (2,7)=20 Succeeded, w=50\",\"Find(3)=3, Find(6)=2, Add (3,6)=21 Succeeded, w=71\",\"Find(1)=1, Find(6)=2, Add (1,6)=22 Succeeded, w=93\",\"Find(5)=5, Find(7)=2, Add (5,7)=22 Succeeded, w=115\",\"Find(5)=2, Find(6)=2, Add (5,6)=23 Failed, w=115\",\"Find(1)=2, Find(3)=2, Add (1,3)=25 Failed, w=115\",\"Find(0)=2, Find(3)=2, Add (0,3)=26 Failed, w=115\",\"Find(1)=2, Find(2)=2, Add (1,2)=26 Failed, w=115\",\"Find(1)=2, Find(7)=2, Add (1,7)=27 Failed, w=115\",\"Find(3)=2, Find(5)=2, Add (3,5)=28 Failed, w=115\",\"Find(4)=2, Find(6)=2, Add (4,6)=34 Failed, w=115\",\"Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=115\",\"Find(1)=2, Find(5)=2, Add (1,5)=41 Failed, w=115\",\"Find(3)=2, Find(7)=2, Add (3,7)=43 Failed, w=115\",\"Find(0)=2, Find(4)=2, Add (0,4)=47 Failed, w=115\",\"Find(0)=2, Find(6)=2, Add (0,6)=69 Failed, w=115\",\"Find(2)=2, Find(6)=2, Add (2,6)=75 Failed, w=115\",\"Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=115\",\"Find(4)=2, Find(7)=2, Add (4,7)=82 Failed, w=115\",\"Find(0)=2, Find(1)=2, Add (0,1)=87 Failed, w=115\",\"Find(2)=2, Find(5)=2, Add (2,5)=90 Failed, w=115\",\"Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=115\",\"Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,35],[0,3,26],[0,4,47],[0,6,69],[0,7,1],[1,2,26],[1,3,25],[1,4,100],[1,5,41],[1,6,22],[1,7,27],[2,4,18],[2,5,90],[2,6,75],[2,7,20],[3,4,77],[3,5,28],[3,6,21],[3,7,43],[4,5,97],[4,6,34],[4,7,82],[5,6,23],[5,7,22],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(6,7)=11,(2,4)=18,(2,7)=20,(3,6)=21,(1,6)=22,(5,7)=22,(5,6)=23,(1,3)=25,(0,3)=26,(1,2)=26,(1,7)=27,(3,5)=28,(4,6)=34,(0,2)=35,(1,5)=41,(3,7)=43,(0,4)=47,(0,6)=69,(2,6)=75,(3,4)=77,(4,7)=82,(0,1)=87,(2,5)=90,(4,5)=97,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=30\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=20 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 0}, Find(3)=3, Find(6)=2, Add (3,6)=21 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 0}, Find(1)=1, Find(6)=2, Add (1,6)=22 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=5, Find(7)=2, Add (5,7)=22 Succeeded, w=115\",\"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)=23 Failed, w=115\",\"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)=25 Failed, w=115\",\"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)=26 Failed, w=115\",\"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)=26 Failed, w=115\",\"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)=27 Failed, w=115\",\"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)=28 Failed, w=115\",\"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)=34 Failed, w=115\",\"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)=35 Failed, w=115\",\"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)=41 Failed, w=115\",\"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)=43 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=47 Failed, w=115\",\"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)=69 Failed, w=115\",\"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)=75 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=115\",\"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)=82 Failed, w=115\",\"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)=87 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=90 Failed, w=115\",\"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)=97 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,2,60],[0,3,90],[1,2,72],[1,3,29],[2,3,4]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,60],[0,3,90],[1,2,72],[1,3,29],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,60],[0,3,90],[1,2,72],[1,3,29],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,60],[0,3,90],[1,2,72],[1,3,29],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (1,3)=29, w=33\",\"Add (0,2)=60, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,60],[0,3,90],[1,2,72],[1,3,29],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (1,3)=29 Succeeded, w=33\",\"Add (0,2)=60 Succeeded, w=93\",\"Add (1,2)=72 Failed, w=93\",\"Add (0,1)=88 Failed, w=93\",\"Add (0,3)=90 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,60],[0,3,90],[1,2,72],[1,3,29],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(1,3)=29,(0,2)=60,(1,2)=72,(0,1)=88,(0,3)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=2, Add (1,3)=29 Succeeded, w=33\",\"Find(0)=0, Find(2)=2, Add (0,2)=60 Succeeded, w=93\",\"Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=93\",\"Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=93\",\"Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,60],[0,3,90],[1,2,72],[1,3,29],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(1,3)=29,(0,2)=60,(1,2)=72,(0,1)=88,(0,3)=90]\",\"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: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=29 Succeeded, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=60 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,64],[1,3,63],[2,4,91],[3,4,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[1,3,63],[2,4,91],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":250}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[1,3,63],[2,4,91],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":250}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[1,3,63],[2,4,91],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=32, w=32\",\"Add (1,3)=63, w=95\",\"Add (0,2)=64, w=159\",\"Add (2,4)=91, w=250\"],\"Answer\":250}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[1,3,63],[2,4,91],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=32 Succeeded, w=32\",\"Add (1,3)=63 Succeeded, w=95\",\"Add (0,2)=64 Succeeded, w=159\",\"Add (2,4)=91 Succeeded, w=250\"],\"Answer\":250}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[1,3,63],[2,4,91],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=32,(1,3)=63,(0,2)=64,(2,4)=91]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=32 Succeeded, w=32\",\"Find(1)=1, Find(3)=3, Add (1,3)=63 Succeeded, w=95\",\"Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=159\",\"Find(2)=0, Find(4)=3, Add (2,4)=91 Succeeded, w=250\"],\"Answer\":250}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[1,3,63],[2,4,91],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=32,(1,3)=63,(0,2)=64,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=63 Succeeded, w=95\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=159\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=91 Succeeded, w=250\"],\"Answer\":250}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,56],[0,2,64],[0,3,76],[0,4,29],[0,5,67],[1,2,39],[1,3,5],[1,4,23],[1,5,87],[2,3,8],[2,4,16],[2,5,43],[3,4,7],[3,5,32],[4,5,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,64],[0,3,76],[0,4,29],[0,5,67],[1,2,39],[1,3,5],[1,4,23],[1,5,87],[2,3,8],[2,4,16],[2,5,43],[3,4,7],[3,5,32],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,64],[0,3,76],[0,4,29],[0,5,67],[1,2,39],[1,3,5],[1,4,23],[1,5,87],[2,3,8],[2,4,16],[2,5,43],[3,4,7],[3,5,32],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,64],[0,3,76],[0,4,29],[0,5,67],[1,2,39],[1,3,5],[1,4,23],[1,5,87],[2,3,8],[2,4,16],[2,5,43],[3,4,7],[3,5,32],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (3,4)=7, w=12\",\"Add (2,3)=8, w=20\",\"Add (0,4)=29, w=49\",\"Add (3,5)=32, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,64],[0,3,76],[0,4,29],[0,5,67],[1,2,39],[1,3,5],[1,4,23],[1,5,87],[2,3,8],[2,4,16],[2,5,43],[3,4,7],[3,5,32],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (3,4)=7 Succeeded, w=12\",\"Add (2,3)=8 Succeeded, w=20\",\"Add (2,4)=16 Failed, w=20\",\"Add (1,4)=23 Failed, w=20\",\"Add (0,4)=29 Succeeded, w=49\",\"Add (3,5)=32 Succeeded, w=81\",\"Add (1,2)=39 Failed, w=81\",\"Add (2,5)=43 Failed, w=81\",\"Add (0,1)=56 Failed, w=81\",\"Add (0,2)=64 Failed, w=81\",\"Add (0,5)=67 Failed, w=81\",\"Add (0,3)=76 Failed, w=81\",\"Add (4,5)=81 Failed, w=81\",\"Add (1,5)=87 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,64],[0,3,76],[0,4,29],[0,5,67],[1,2,39],[1,3,5],[1,4,23],[1,5,87],[2,3,8],[2,4,16],[2,5,43],[3,4,7],[3,5,32],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(3,4)=7,(2,3)=8,(2,4)=16,(1,4)=23,(0,4)=29,(3,5)=32,(1,2)=39,(2,5)=43,(0,1)=56,(0,2)=64,(0,5)=67,(0,3)=76,(4,5)=81,(1,5)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(3)=1, Find(4)=4, Add (3,4)=7 Succeeded, w=12\",\"Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=20\",\"Find(2)=1, Find(4)=1, Add (2,4)=16 Failed, w=20\",\"Find(1)=1, Find(4)=1, Add (1,4)=23 Failed, w=20\",\"Find(0)=0, Find(4)=1, Add (0,4)=29 Succeeded, w=49\",\"Find(3)=1, Find(5)=5, Add (3,5)=32 Succeeded, w=81\",\"Find(1)=1, Find(2)=1, Add (1,2)=39 Failed, w=81\",\"Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=81\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=81\",\"Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=81\",\"Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=81\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=81\",\"Find(4)=1, Find(5)=1, Add (4,5)=81 Failed, w=81\",\"Find(1)=1, Find(5)=1, Add (1,5)=87 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,64],[0,3,76],[0,4,29],[0,5,67],[1,2,39],[1,3,5],[1,4,23],[1,5,87],[2,3,8],[2,4,16],[2,5,43],[3,4,7],[3,5,32],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(3,4)=7,(2,3)=8,(2,4)=16,(1,4)=23,(0,4)=29,(3,5)=32,(1,2)=39,(2,5)=43,(0,1)=56,(0,2)=64,(0,5)=67,(0,3)=76,(4,5)=81,(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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(4)=1, Add (2,4)=16 Failed, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=1, Add (1,4)=23 Failed, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=29 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=32 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=39 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=81 Failed, w=81\",\"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=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,14],[0,3,28],[1,3,21],[1,4,21],[1,5,70],[2,3,61],[2,4,81],[2,6,87],[3,4,98],[3,6,64],[4,5,50]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,28],[1,3,21],[1,4,21],[1,5,70],[2,3,61],[2,4,81],[2,6,87],[3,4,98],[3,6,64],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,28],[1,3,21],[1,4,21],[1,5,70],[2,3,61],[2,4,81],[2,6,87],[3,4,98],[3,6,64],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,28],[1,3,21],[1,4,21],[1,5,70],[2,3,61],[2,4,81],[2,6,87],[3,4,98],[3,6,64],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (1,3)=21, w=35\",\"Add (1,4)=21, w=56\",\"Add (0,3)=28, w=84\",\"Add (4,5)=50, w=134\",\"Add (3,6)=64, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,28],[1,3,21],[1,4,21],[1,5,70],[2,3,61],[2,4,81],[2,6,87],[3,4,98],[3,6,64],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (1,3)=21 Succeeded, w=35\",\"Add (1,4)=21 Succeeded, w=56\",\"Add (0,3)=28 Succeeded, w=84\",\"Add (4,5)=50 Succeeded, w=134\",\"Add (2,3)=61 Failed, w=134\",\"Add (3,6)=64 Succeeded, w=198\",\"Add (1,5)=70 Failed, w=198\",\"Add (2,4)=81 Failed, w=198\",\"Add (2,6)=87 Failed, w=198\",\"Add (3,4)=98 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,28],[1,3,21],[1,4,21],[1,5,70],[2,3,61],[2,4,81],[2,6,87],[3,4,98],[3,6,64],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(1,3)=21,(1,4)=21,(0,3)=28,(4,5)=50,(2,3)=61,(3,6)=64,(1,5)=70,(2,4)=81,(2,6)=87,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=56\",\"Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=84\",\"Find(4)=0, Find(5)=5, Add (4,5)=50 Succeeded, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=61 Failed, w=134\",\"Find(3)=0, Find(6)=6, Add (3,6)=64 Succeeded, w=198\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=198\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=198\",\"Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=198\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,28],[1,3,21],[1,4,21],[1,5,70],[2,3,61],[2,4,81],[2,6,87],[3,4,98],[3,6,64],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(1,3)=21,(1,4)=21,(0,3)=28,(4,5)=50,(2,3)=61,(3,6)=64,(1,5)=70,(2,4)=81,(2,6)=87,(3,4)=98]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=5, Add (4,5)=50 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=61 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=64 Succeeded, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,5,92],[1,2,21],[1,4,5],[1,5,18],[2,4,48],[2,5,9],[3,5,24],[4,5,36]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,5,92],[1,2,21],[1,4,5],[1,5,18],[2,4,48],[2,5,9],[3,5,24],[4,5,36]]}",
"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\":[[0,1,68],[0,5,92],[1,2,21],[1,4,5],[1,5,18],[2,4,48],[2,5,9],[3,5,24],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (3,5)\",\"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\":[[0,1,68],[0,5,92],[1,2,21],[1,4,5],[1,5,18],[2,4,48],[2,5,9],[3,5,24],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (2,5)=9, w=14\",\"Add (1,5)=18, w=32\",\"Add (3,5)=24, w=56\",\"Add (0,1)=68, 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\":[[0,1,68],[0,5,92],[1,2,21],[1,4,5],[1,5,18],[2,4,48],[2,5,9],[3,5,24],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (2,5)=9 Succeeded, w=14\",\"Add (1,5)=18 Succeeded, w=32\",\"Add (1,2)=21 Failed, w=32\",\"Add (3,5)=24 Succeeded, w=56\",\"Add (4,5)=36 Failed, w=56\",\"Add (2,4)=48 Failed, w=56\",\"Add (0,1)=68 Succeeded, w=124\",\"Add (0,5)=92 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\":[[0,1,68],[0,5,92],[1,2,21],[1,4,5],[1,5,18],[2,4,48],[2,5,9],[3,5,24],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(2,5)=9,(1,5)=18,(1,2)=21,(3,5)=24,(4,5)=36,(2,4)=48,(0,1)=68,(0,5)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=14\",\"Find(1)=1, Find(5)=2, Add (1,5)=18 Succeeded, w=32\",\"Find(1)=1, Find(2)=1, Add (1,2)=21 Failed, w=32\",\"Find(3)=3, Find(5)=1, Add (3,5)=24 Succeeded, w=56\",\"Find(4)=1, Find(5)=1, Add (4,5)=36 Failed, w=56\",\"Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=56\",\"Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=124\",\"Find(0)=1, Find(5)=1, Add (0,5)=92 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\":[[0,1,68],[0,5,92],[1,2,21],[1,4,5],[1,5,18],[2,4,48],[2,5,9],[3,5,24],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(2,5)=9,(1,5)=18,(1,2)=21,(3,5)=24,(4,5)=36,(2,4)=48,(0,1)=68,(0,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2}, Find(1)=1, Find(2)=1, Add (1,2)=21 Failed, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=24 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=36 Failed, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=92 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,2,17],[0,3,22],[0,4,15],[0,5,85],[1,3,74],[1,4,7],[2,3,54],[2,5,28],[3,4,34],[3,5,82],[4,5,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,17],[0,3,22],[0,4,15],[0,5,85],[1,3,74],[1,4,7],[2,3,54],[2,5,28],[3,4,34],[3,5,82],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,17],[0,3,22],[0,4,15],[0,5,85],[1,3,74],[1,4,7],[2,3,54],[2,5,28],[3,4,34],[3,5,82],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (2,5)\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,17],[0,3,22],[0,4,15],[0,5,85],[1,3,74],[1,4,7],[2,3,54],[2,5,28],[3,4,34],[3,5,82],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7, w=7\",\"Add (0,4)=15, w=22\",\"Add (0,2)=17, w=39\",\"Add (0,3)=22, w=61\",\"Add (2,5)=28, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,17],[0,3,22],[0,4,15],[0,5,85],[1,3,74],[1,4,7],[2,3,54],[2,5,28],[3,4,34],[3,5,82],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7 Succeeded, w=7\",\"Add (0,4)=15 Succeeded, w=22\",\"Add (0,2)=17 Succeeded, w=39\",\"Add (0,3)=22 Succeeded, w=61\",\"Add (2,5)=28 Succeeded, w=89\",\"Add (3,4)=34 Failed, w=89\",\"Add (0,1)=48 Failed, w=89\",\"Add (2,3)=54 Failed, w=89\",\"Add (1,3)=74 Failed, w=89\",\"Add (4,5)=78 Failed, w=89\",\"Add (3,5)=82 Failed, w=89\",\"Add (0,5)=85 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,17],[0,3,22],[0,4,15],[0,5,85],[1,3,74],[1,4,7],[2,3,54],[2,5,28],[3,4,34],[3,5,82],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7,(0,4)=15,(0,2)=17,(0,3)=22,(2,5)=28,(3,4)=34,(0,1)=48,(2,3)=54,(1,3)=74,(4,5)=78,(3,5)=82,(0,5)=85]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(4)=1, Add (0,4)=15 Succeeded, w=22\",\"Find(0)=1, Find(2)=2, Add (0,2)=17 Succeeded, w=39\",\"Find(0)=1, Find(3)=3, Add (0,3)=22 Succeeded, w=61\",\"Find(2)=1, Find(5)=5, Add (2,5)=28 Succeeded, w=89\",\"Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=89\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=89\",\"Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=89\",\"Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=89\",\"Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=89\",\"Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=89\",\"Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,17],[0,3,22],[0,4,15],[0,5,85],[1,3,74],[1,4,7],[2,3,54],[2,5,28],[3,4,34],[3,5,82],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7,(0,4)=15,(0,2)=17,(0,3)=22,(2,5)=28,(3,4)=34,(0,1)=48,(2,3)=54,(1,3)=74,(4,5)=78,(3,5)=82,(0,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=15 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=1, Find(2)=2, Add (0,2)=17 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(3)=3, Add (0,3)=22 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=28 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,93],[1,2,22],[1,3,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,93],[1,2,22],[1,3,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,93],[1,2,22],[1,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,93],[1,2,22],[1,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (0,3)=93, w=115\",\"Add (1,3)=96, w=211\"],\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,93],[1,2,22],[1,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (0,3)=93 Succeeded, w=115\",\"Add (1,3)=96 Succeeded, w=211\"],\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,93],[1,2,22],[1,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,3)=93,(1,3)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=93 Succeeded, w=115\",\"Find(1)=1, Find(3)=0, Add (1,3)=96 Succeeded, w=211\"],\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,93],[1,2,22],[1,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,3)=93,(1,3)=96]\",\"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: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=93 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=96 Succeeded, w=211\"],\"Answer\":211}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,37],[0,3,71]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,3,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=37, w=37\",\"Add (0,3)=71, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=37 Succeeded, w=37\",\"Add (0,3)=71 Succeeded, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=37,(0,3)=71]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=37\",\"Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=37,(0,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,83],[0,5,68],[0,6,85],[0,7,99],[1,2,21],[1,5,24],[1,6,35],[2,3,6],[2,5,98],[2,6,26],[2,7,25],[3,5,83],[3,6,72],[4,5,21],[4,6,93],[4,7,66],[5,6,79],[5,7,22],[6,7,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,83],[0,5,68],[0,6,85],[0,7,99],[1,2,21],[1,5,24],[1,6,35],[2,3,6],[2,5,98],[2,6,26],[2,7,25],[3,5,83],[3,6,72],[4,5,21],[4,6,93],[4,7,66],[5,6,79],[5,7,22],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,83],[0,5,68],[0,6,85],[0,7,99],[1,2,21],[1,5,24],[1,6,35],[2,3,6],[2,5,98],[2,6,26],[2,7,25],[3,5,83],[3,6,72],[4,5,21],[4,6,93],[4,7,66],[5,6,79],[5,7,22],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (5,7)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (0,5)\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,83],[0,5,68],[0,6,85],[0,7,99],[1,2,21],[1,5,24],[1,6,35],[2,3,6],[2,5,98],[2,6,26],[2,7,25],[3,5,83],[3,6,72],[4,5,21],[4,6,93],[4,7,66],[5,6,79],[5,7,22],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (1,2)=21, w=27\",\"Add (4,5)=21, w=48\",\"Add (5,7)=22, w=70\",\"Add (1,5)=24, w=94\",\"Add (2,6)=26, w=120\",\"Add (0,5)=68, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,83],[0,5,68],[0,6,85],[0,7,99],[1,2,21],[1,5,24],[1,6,35],[2,3,6],[2,5,98],[2,6,26],[2,7,25],[3,5,83],[3,6,72],[4,5,21],[4,6,93],[4,7,66],[5,6,79],[5,7,22],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (1,2)=21 Succeeded, w=27\",\"Add (4,5)=21 Succeeded, w=48\",\"Add (5,7)=22 Succeeded, w=70\",\"Add (1,5)=24 Succeeded, w=94\",\"Add (2,7)=25 Failed, w=94\",\"Add (2,6)=26 Succeeded, w=120\",\"Add (1,6)=35 Failed, w=120\",\"Add (4,7)=66 Failed, w=120\",\"Add (0,5)=68 Succeeded, w=188\",\"Add (3,6)=72 Failed, w=188\",\"Add (5,6)=79 Failed, w=188\",\"Add (0,3)=83 Failed, w=188\",\"Add (3,5)=83 Failed, w=188\",\"Add (0,6)=85 Failed, w=188\",\"Add (6,7)=85 Failed, w=188\",\"Add (4,6)=93 Failed, w=188\",\"Add (2,5)=98 Failed, w=188\",\"Add (0,7)=99 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,83],[0,5,68],[0,6,85],[0,7,99],[1,2,21],[1,5,24],[1,6,35],[2,3,6],[2,5,98],[2,6,26],[2,7,25],[3,5,83],[3,6,72],[4,5,21],[4,6,93],[4,7,66],[5,6,79],[5,7,22],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(1,2)=21,(4,5)=21,(5,7)=22,(1,5)=24,(2,7)=25,(2,6)=26,(1,6)=35,(4,7)=66,(0,5)=68,(3,6)=72,(5,6)=79,(0,3)=83,(3,5)=83,(0,6)=85,(6,7)=85,(4,6)=93,(2,5)=98,(0,7)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=27\",\"Find(4)=4, Find(5)=5, Add (4,5)=21 Succeeded, w=48\",\"Find(5)=4, Find(7)=7, Add (5,7)=22 Succeeded, w=70\",\"Find(1)=2, Find(5)=4, Add (1,5)=24 Succeeded, w=94\",\"Find(2)=2, Find(7)=2, Add (2,7)=25 Failed, w=94\",\"Find(2)=2, Find(6)=6, Add (2,6)=26 Succeeded, w=120\",\"Find(1)=2, Find(6)=2, Add (1,6)=35 Failed, w=120\",\"Find(4)=2, Find(7)=2, Add (4,7)=66 Failed, w=120\",\"Find(0)=0, Find(5)=2, Add (0,5)=68 Succeeded, w=188\",\"Find(3)=2, Find(6)=2, Add (3,6)=72 Failed, w=188\",\"Find(5)=2, Find(6)=2, Add (5,6)=79 Failed, w=188\",\"Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=188\",\"Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=188\",\"Find(0)=2, Find(6)=2, Add (0,6)=85 Failed, w=188\",\"Find(6)=2, Find(7)=2, Add (6,7)=85 Failed, w=188\",\"Find(4)=2, Find(6)=2, Add (4,6)=93 Failed, w=188\",\"Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=188\",\"Find(0)=2, Find(7)=2, Add (0,7)=99 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,83],[0,5,68],[0,6,85],[0,7,99],[1,2,21],[1,5,24],[1,6,35],[2,3,6],[2,5,98],[2,6,26],[2,7,25],[3,5,83],[3,6,72],[4,5,21],[4,6,93],[4,7,66],[5,6,79],[5,7,22],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(1,2)=21,(4,5)=21,(5,7)=22,(1,5)=24,(2,7)=25,(2,6)=26,(1,6)=35,(4,7)=66,(0,5)=68,(3,6)=72,(5,6)=79,(0,3)=83,(3,5)=83,(0,6)=85,(6,7)=85,(4,6)=93,(2,5)=98,(0,7)=99]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=21 Succeeded, w=48\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=22 Succeeded, w=70\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 4}, Find(1)=2, Find(5)=4, Add (1,5)=24 Succeeded, w=94\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=25 Failed, w=94\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(2)=2, Find(6)=6, Add (2,6)=26 Succeeded, w=120\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=35 Failed, w=120\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=66 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=68 Succeeded, w=188\",\"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)=72 Failed, w=188\",\"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)=79 Failed, w=188\",\"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=188\",\"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)=83 Failed, w=188\",\"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)=85 Failed, w=188\",\"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)=85 Failed, w=188\",\"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)=93 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=99 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,42],[0,2,71],[0,3,94],[0,4,57],[1,3,53],[1,4,79],[1,5,11],[2,3,77],[2,4,12],[2,5,56],[3,4,51],[3,5,80],[4,5,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,71],[0,3,94],[0,4,57],[1,3,53],[1,4,79],[1,5,11],[2,3,77],[2,4,12],[2,5,56],[3,4,51],[3,5,80],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,71],[0,3,94],[0,4,57],[1,3,53],[1,4,79],[1,5,11],[2,3,77],[2,4,12],[2,5,56],[3,4,51],[3,5,80],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,71],[0,3,94],[0,4,57],[1,3,53],[1,4,79],[1,5,11],[2,3,77],[2,4,12],[2,5,56],[3,4,51],[3,5,80],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11, w=11\",\"Add (2,4)=12, w=23\",\"Add (0,1)=42, w=65\",\"Add (3,4)=51, w=116\",\"Add (1,3)=53, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,71],[0,3,94],[0,4,57],[1,3,53],[1,4,79],[1,5,11],[2,3,77],[2,4,12],[2,5,56],[3,4,51],[3,5,80],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11 Succeeded, w=11\",\"Add (2,4)=12 Succeeded, w=23\",\"Add (0,1)=42 Succeeded, w=65\",\"Add (3,4)=51 Succeeded, w=116\",\"Add (1,3)=53 Succeeded, w=169\",\"Add (2,5)=56 Failed, w=169\",\"Add (0,4)=57 Failed, w=169\",\"Add (0,2)=71 Failed, w=169\",\"Add (2,3)=77 Failed, w=169\",\"Add (1,4)=79 Failed, w=169\",\"Add (4,5)=79 Failed, w=169\",\"Add (3,5)=80 Failed, w=169\",\"Add (0,3)=94 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,71],[0,3,94],[0,4,57],[1,3,53],[1,4,79],[1,5,11],[2,3,77],[2,4,12],[2,5,56],[3,4,51],[3,5,80],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(2,4)=12,(0,1)=42,(3,4)=51,(1,3)=53,(2,5)=56,(0,4)=57,(0,2)=71,(2,3)=77,(1,4)=79,(4,5)=79,(3,5)=80,(0,3)=94]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=65\",\"Find(3)=3, Find(4)=2, Add (3,4)=51 Succeeded, w=116\",\"Find(1)=1, Find(3)=2, Add (1,3)=53 Succeeded, w=169\",\"Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=169\",\"Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=169\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=169\",\"Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=169\",\"Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=169\",\"Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=169\",\"Find(3)=1, Find(5)=1, Add (3,5)=80 Failed, w=169\",\"Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,71],[0,3,94],[0,4,57],[1,3,53],[1,4,79],[1,5,11],[2,3,77],[2,4,12],[2,5,56],[3,4,51],[3,5,80],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(2,4)=12,(0,1)=42,(3,4)=51,(1,3)=53,(2,5)=56,(0,4)=57,(0,2)=71,(2,3)=77,(1,4)=79,(4,5)=79,(3,5)=80,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=3, Find(4)=2, Add (3,4)=51 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1}, Find(1)=1, Find(3)=2, Add (1,3)=53 Succeeded, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=80 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,21],[0,3,98],[0,4,13],[0,5,64],[1,2,32],[1,3,77],[1,4,16],[1,5,0],[2,3,27],[2,4,73],[2,5,83],[3,4,74],[4,5,65]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,3,98],[0,4,13],[0,5,64],[1,2,32],[1,3,77],[1,4,16],[1,5,0],[2,3,27],[2,4,73],[2,5,83],[3,4,74],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,3,98],[0,4,13],[0,5,64],[1,2,32],[1,3,77],[1,4,16],[1,5,0],[2,3,27],[2,4,73],[2,5,83],[3,4,74],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,3,98],[0,4,13],[0,5,64],[1,2,32],[1,3,77],[1,4,16],[1,5,0],[2,3,27],[2,4,73],[2,5,83],[3,4,74],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (0,4)=13, w=13\",\"Add (1,4)=16, w=29\",\"Add (0,2)=21, w=50\",\"Add (2,3)=27, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,3,98],[0,4,13],[0,5,64],[1,2,32],[1,3,77],[1,4,16],[1,5,0],[2,3,27],[2,4,73],[2,5,83],[3,4,74],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (0,4)=13 Succeeded, w=13\",\"Add (1,4)=16 Succeeded, w=29\",\"Add (0,2)=21 Succeeded, w=50\",\"Add (2,3)=27 Succeeded, w=77\",\"Add (1,2)=32 Failed, w=77\",\"Add (0,5)=64 Failed, w=77\",\"Add (4,5)=65 Failed, w=77\",\"Add (2,4)=73 Failed, w=77\",\"Add (3,4)=74 Failed, w=77\",\"Add (1,3)=77 Failed, w=77\",\"Add (2,5)=83 Failed, w=77\",\"Add (0,3)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,3,98],[0,4,13],[0,5,64],[1,2,32],[1,3,77],[1,4,16],[1,5,0],[2,3,27],[2,4,73],[2,5,83],[3,4,74],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(0,4)=13,(1,4)=16,(0,2)=21,(2,3)=27,(1,2)=32,(0,5)=64,(4,5)=65,(2,4)=73,(3,4)=74,(1,3)=77,(2,5)=83,(0,3)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=29\",\"Find(0)=1, Find(2)=2, Add (0,2)=21 Succeeded, w=50\",\"Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=77\",\"Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=77\",\"Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=77\",\"Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=77\",\"Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=77\",\"Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=77\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=77\",\"Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=77\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,3,98],[0,4,13],[0,5,64],[1,2,32],[1,3,77],[1,4,16],[1,5,0],[2,3,27],[2,4,73],[2,5,83],[3,4,74],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(0,4)=13,(1,4)=16,(0,2)=21,(2,3)=27,(1,2)=32,(0,5)=64,(4,5)=65,(2,4)=73,(3,4)=74,(1,3)=77,(2,5)=83,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(0)=1, Find(2)=2, Add (0,2)=21 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=77\",\"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=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,5,14],[1,2,4],[1,3,51],[2,3,7],[2,4,58],[2,5,3],[3,5,73],[4,5,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,5,14],[1,2,4],[1,3,51],[2,3,7],[2,4,58],[2,5,3],[3,5,73],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,5,14],[1,2,4],[1,3,51],[2,3,7],[2,4,58],[2,5,3],[3,5,73],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (2,4)\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,5,14],[1,2,4],[1,3,51],[2,3,7],[2,4,58],[2,5,3],[3,5,73],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (1,2)=4, w=7\",\"Add (2,3)=7, w=14\",\"Add (0,5)=14, w=28\",\"Add (2,4)=58, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,5,14],[1,2,4],[1,3,51],[2,3,7],[2,4,58],[2,5,3],[3,5,73],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (1,2)=4 Succeeded, w=7\",\"Add (2,3)=7 Succeeded, w=14\",\"Add (0,5)=14 Succeeded, w=28\",\"Add (0,1)=48 Failed, w=28\",\"Add (1,3)=51 Failed, w=28\",\"Add (2,4)=58 Succeeded, w=86\",\"Add (3,5)=73 Failed, w=86\",\"Add (4,5)=85 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,5,14],[1,2,4],[1,3,51],[2,3,7],[2,4,58],[2,5,3],[3,5,73],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(1,2)=4,(2,3)=7,(0,5)=14,(0,1)=48,(1,3)=51,(2,4)=58,(3,5)=73,(4,5)=85]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=14\",\"Find(0)=0, Find(5)=2, Add (0,5)=14 Succeeded, w=28\",\"Find(0)=2, Find(1)=2, Add (0,1)=48 Failed, w=28\",\"Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=28\",\"Find(2)=2, Find(4)=4, Add (2,4)=58 Succeeded, w=86\",\"Find(3)=2, Find(5)=2, Add (3,5)=73 Failed, w=86\",\"Find(4)=2, Find(5)=2, Add (4,5)=85 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,5,14],[1,2,4],[1,3,51],[2,3,7],[2,4,58],[2,5,3],[3,5,73],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(1,2)=4,(2,3)=7,(0,5)=14,(0,1)=48,(1,3)=51,(2,4)=58,(3,5)=73,(4,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=14 Succeeded, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=48 Failed, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=58 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=73 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=85 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,11],[0,3,54],[1,2,14],[1,4,30],[2,3,4],[2,4,10],[3,4,13]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,54],[1,2,14],[1,4,30],[2,3,4],[2,4,10],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,54],[1,2,14],[1,4,30],[2,3,4],[2,4,10],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,54],[1,2,14],[1,4,30],[2,3,4],[2,4,10],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (2,4)=10, w=14\",\"Add (0,2)=11, w=25\",\"Add (1,2)=14, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,54],[1,2,14],[1,4,30],[2,3,4],[2,4,10],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (2,4)=10 Succeeded, w=14\",\"Add (0,2)=11 Succeeded, w=25\",\"Add (3,4)=13 Failed, w=25\",\"Add (1,2)=14 Succeeded, w=39\",\"Add (1,4)=30 Failed, w=39\",\"Add (0,3)=54 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,54],[1,2,14],[1,4,30],[2,3,4],[2,4,10],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(2,4)=10,(0,2)=11,(3,4)=13,(1,2)=14,(1,4)=30,(0,3)=54]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=25\",\"Find(3)=2, Find(4)=2, Add (3,4)=13 Failed, w=25\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=39\",\"Find(1)=2, Find(4)=2, Add (1,4)=30 Failed, w=39\",\"Find(0)=2, Find(3)=2, Add (0,3)=54 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,54],[1,2,14],[1,4,30],[2,3,4],[2,4,10],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(2,4)=10,(0,2)=11,(3,4)=13,(1,2)=14,(1,4)=30,(0,3)=54]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=25\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=13 Failed, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=30 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=54 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,88],[0,2,1],[0,3,79],[0,4,57],[0,5,75],[1,2,92],[1,3,56],[1,5,86],[1,6,61],[2,3,42],[2,4,35],[2,6,52],[3,4,65],[3,5,6],[4,6,19]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,1],[0,3,79],[0,4,57],[0,5,75],[1,2,92],[1,3,56],[1,5,86],[1,6,61],[2,3,42],[2,4,35],[2,6,52],[3,4,65],[3,5,6],[4,6,19]]}",
"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\":[[0,1,88],[0,2,1],[0,3,79],[0,4,57],[0,5,75],[1,2,92],[1,3,56],[1,5,86],[1,6,61],[2,3,42],[2,4,35],[2,6,52],[3,4,65],[3,5,6],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,1],[0,3,79],[0,4,57],[0,5,75],[1,2,92],[1,3,56],[1,5,86],[1,6,61],[2,3,42],[2,4,35],[2,6,52],[3,4,65],[3,5,6],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (3,5)=6, w=7\",\"Add (4,6)=19, w=26\",\"Add (2,4)=35, w=61\",\"Add (2,3)=42, w=103\",\"Add (1,3)=56, 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\":[[0,1,88],[0,2,1],[0,3,79],[0,4,57],[0,5,75],[1,2,92],[1,3,56],[1,5,86],[1,6,61],[2,3,42],[2,4,35],[2,6,52],[3,4,65],[3,5,6],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (3,5)=6 Succeeded, w=7\",\"Add (4,6)=19 Succeeded, w=26\",\"Add (2,4)=35 Succeeded, w=61\",\"Add (2,3)=42 Succeeded, w=103\",\"Add (2,6)=52 Failed, w=103\",\"Add (1,3)=56 Succeeded, w=159\",\"Add (0,4)=57 Failed, w=159\",\"Add (1,6)=61 Failed, w=159\",\"Add (3,4)=65 Failed, w=159\",\"Add (0,5)=75 Failed, w=159\",\"Add (0,3)=79 Failed, w=159\",\"Add (1,5)=86 Failed, w=159\",\"Add (0,1)=88 Failed, w=159\",\"Add (1,2)=92 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\":[[0,1,88],[0,2,1],[0,3,79],[0,4,57],[0,5,75],[1,2,92],[1,3,56],[1,5,86],[1,6,61],[2,3,42],[2,4,35],[2,6,52],[3,4,65],[3,5,6],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(3,5)=6,(4,6)=19,(2,4)=35,(2,3)=42,(2,6)=52,(1,3)=56,(0,4)=57,(1,6)=61,(3,4)=65,(0,5)=75,(0,3)=79,(1,5)=86,(0,1)=88,(1,2)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=7\",\"Find(4)=4, Find(6)=6, Add (4,6)=19 Succeeded, w=26\",\"Find(2)=0, Find(4)=4, Add (2,4)=35 Succeeded, w=61\",\"Find(2)=0, Find(3)=3, Add (2,3)=42 Succeeded, w=103\",\"Find(2)=0, Find(6)=0, Add (2,6)=52 Failed, w=103\",\"Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=159\",\"Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=159\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=159\",\"Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=159\",\"Find(0)=0, Find(5)=0, Add (0,5)=75 Failed, w=159\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=159\",\"Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=159\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=159\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 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\":[[0,1,88],[0,2,1],[0,3,79],[0,4,57],[0,5,75],[1,2,92],[1,3,56],[1,5,86],[1,6,61],[2,3,42],[2,4,35],[2,6,52],[3,4,65],[3,5,6],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(3,5)=6,(4,6)=19,(2,4)=35,(2,3)=42,(2,6)=52,(1,3)=56,(0,4)=57,(1,6)=61,(3,4)=65,(0,5)=75,(0,3)=79,(1,5)=86,(0,1)=88,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=19 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 4}, Find(2)=0, Find(4)=4, Add (2,4)=35 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(2)=0, Find(3)=3, Add (2,3)=42 Succeeded, w=103\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=52 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=75 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=86 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)=88 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,41],[0,4,66],[1,2,42],[1,3,39],[1,4,26],[1,5,57],[2,3,60],[2,4,3],[2,5,20],[3,4,71],[4,5,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,41],[0,4,66],[1,2,42],[1,3,39],[1,4,26],[1,5,57],[2,3,60],[2,4,3],[2,5,20],[3,4,71],[4,5,76]]}",
"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],\"edges\":[[0,1,41],[0,2,41],[0,4,66],[1,2,42],[1,3,39],[1,4,26],[1,5,57],[2,3,60],[2,4,3],[2,5,20],[3,4,71],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,41],[0,4,66],[1,2,42],[1,3,39],[1,4,26],[1,5,57],[2,3,60],[2,4,3],[2,5,20],[3,4,71],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (2,5)=20, w=23\",\"Add (1,4)=26, w=49\",\"Add (1,3)=39, w=88\",\"Add (0,1)=41, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,41],[0,4,66],[1,2,42],[1,3,39],[1,4,26],[1,5,57],[2,3,60],[2,4,3],[2,5,20],[3,4,71],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (2,5)=20 Succeeded, w=23\",\"Add (1,4)=26 Succeeded, w=49\",\"Add (1,3)=39 Succeeded, w=88\",\"Add (0,1)=41 Succeeded, w=129\",\"Add (0,2)=41 Failed, w=129\",\"Add (1,2)=42 Failed, w=129\",\"Add (1,5)=57 Failed, w=129\",\"Add (2,3)=60 Failed, w=129\",\"Add (0,4)=66 Failed, w=129\",\"Add (3,4)=71 Failed, w=129\",\"Add (4,5)=76 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],\"edges\":[[0,1,41],[0,2,41],[0,4,66],[1,2,42],[1,3,39],[1,4,26],[1,5,57],[2,3,60],[2,4,3],[2,5,20],[3,4,71],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(2,5)=20,(1,4)=26,(1,3)=39,(0,1)=41,(0,2)=41,(1,2)=42,(1,5)=57,(2,3)=60,(0,4)=66,(3,4)=71,(4,5)=76]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=23\",\"Find(1)=1, Find(4)=2, Add (1,4)=26 Succeeded, w=49\",\"Find(1)=2, Find(3)=3, Add (1,3)=39 Succeeded, w=88\",\"Find(0)=0, Find(1)=2, Add (0,1)=41 Succeeded, w=129\",\"Find(0)=2, Find(2)=2, Add (0,2)=41 Failed, w=129\",\"Find(1)=2, Find(2)=2, Add (1,2)=42 Failed, w=129\",\"Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=129\",\"Find(2)=2, Find(3)=2, Add (2,3)=60 Failed, w=129\",\"Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=129\",\"Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=129\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 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],\"edges\":[[0,1,41],[0,2,41],[0,4,66],[1,2,42],[1,3,39],[1,4,26],[1,5,57],[2,3,60],[2,4,3],[2,5,20],[3,4,71],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(2,5)=20,(1,4)=26,(1,3)=39,(0,1)=41,(0,2)=41,(1,2)=42,(1,5)=57,(2,3)=60,(0,4)=66,(3,4)=71,(4,5)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=26 Succeeded, w=49\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=3, Add (1,3)=39 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(1)=2, Add (0,1)=41 Succeeded, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=41 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=42 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=60 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,52],[0,2,87],[0,3,5],[0,4,7],[1,2,55],[1,3,81],[1,4,0],[2,4,100],[3,4,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,87],[0,3,5],[0,4,7],[1,2,55],[1,3,81],[1,4,0],[2,4,100],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,87],[0,3,5],[0,4,7],[1,2,55],[1,3,81],[1,4,0],[2,4,100],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,87],[0,3,5],[0,4,7],[1,2,55],[1,3,81],[1,4,0],[2,4,100],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,3)=5, w=5\",\"Add (0,4)=7, w=12\",\"Add (1,2)=55, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,87],[0,3,5],[0,4,7],[1,2,55],[1,3,81],[1,4,0],[2,4,100],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,3)=5 Succeeded, w=5\",\"Add (0,4)=7 Succeeded, w=12\",\"Add (0,1)=52 Failed, w=12\",\"Add (1,2)=55 Succeeded, w=67\",\"Add (1,3)=81 Failed, w=67\",\"Add (0,2)=87 Failed, w=67\",\"Add (3,4)=89 Failed, w=67\",\"Add (2,4)=100 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,87],[0,3,5],[0,4,7],[1,2,55],[1,3,81],[1,4,0],[2,4,100],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,3)=5,(0,4)=7,(0,1)=52,(1,2)=55,(1,3)=81,(0,2)=87,(3,4)=89,(2,4)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=1, Add (0,4)=7 Succeeded, w=12\",\"Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=12\",\"Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=67\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=67\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=67\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=67\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,87],[0,3,5],[0,4,7],[1,2,55],[1,3,81],[1,4,0],[2,4,100],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,3)=5,(0,4)=7,(0,1)=52,(1,2)=55,(1,3)=81,(0,2)=87,(3,4)=89,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,24],[0,3,41],[0,4,62],[0,5,56],[0,7,71],[1,2,18],[1,5,82],[1,7,13],[2,6,28],[2,7,66],[3,6,54],[4,5,23],[4,6,48],[4,7,89],[5,6,82],[5,7,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,41],[0,4,62],[0,5,56],[0,7,71],[1,2,18],[1,5,82],[1,7,13],[2,6,28],[2,7,66],[3,6,54],[4,5,23],[4,6,48],[4,7,89],[5,6,82],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,41],[0,4,62],[0,5,56],[0,7,71],[1,2,18],[1,5,82],[1,7,13],[2,6,28],[2,7,66],[3,6,54],[4,5,23],[4,6,48],[4,7,89],[5,6,82],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (5,7)\",\"Add (0,3)\"],\"Answer\":181}",
"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],[0,3,41],[0,4,62],[0,5,56],[0,7,71],[1,2,18],[1,5,82],[1,7,13],[2,6,28],[2,7,66],[3,6,54],[4,5,23],[4,6,48],[4,7,89],[5,6,82],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=13, w=13\",\"Add (1,2)=18, w=31\",\"Add (4,5)=23, w=54\",\"Add (0,2)=24, w=78\",\"Add (2,6)=28, w=106\",\"Add (5,7)=34, w=140\",\"Add (0,3)=41, w=181\"],\"Answer\":181}",
"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],[0,3,41],[0,4,62],[0,5,56],[0,7,71],[1,2,18],[1,5,82],[1,7,13],[2,6,28],[2,7,66],[3,6,54],[4,5,23],[4,6,48],[4,7,89],[5,6,82],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=13 Succeeded, w=13\",\"Add (1,2)=18 Succeeded, w=31\",\"Add (4,5)=23 Succeeded, w=54\",\"Add (0,2)=24 Succeeded, w=78\",\"Add (2,6)=28 Succeeded, w=106\",\"Add (5,7)=34 Succeeded, w=140\",\"Add (0,3)=41 Succeeded, w=181\",\"Add (4,6)=48 Failed, w=181\",\"Add (3,6)=54 Failed, w=181\",\"Add (0,5)=56 Failed, w=181\",\"Add (0,4)=62 Failed, w=181\",\"Add (2,7)=66 Failed, w=181\",\"Add (0,7)=71 Failed, w=181\",\"Add (1,5)=82 Failed, w=181\",\"Add (5,6)=82 Failed, w=181\",\"Add (4,7)=89 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,41],[0,4,62],[0,5,56],[0,7,71],[1,2,18],[1,5,82],[1,7,13],[2,6,28],[2,7,66],[3,6,54],[4,5,23],[4,6,48],[4,7,89],[5,6,82],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=13,(1,2)=18,(4,5)=23,(0,2)=24,(2,6)=28,(5,7)=34,(0,3)=41,(4,6)=48,(3,6)=54,(0,5)=56,(0,4)=62,(2,7)=66,(0,7)=71,(1,5)=82,(5,6)=82,(4,7)=89]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=31\",\"Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=54\",\"Find(0)=0, Find(2)=1, Add (0,2)=24 Succeeded, w=78\",\"Find(2)=1, Find(6)=6, Add (2,6)=28 Succeeded, w=106\",\"Find(5)=4, Find(7)=1, Add (5,7)=34 Succeeded, w=140\",\"Find(0)=4, Find(3)=3, Add (0,3)=41 Succeeded, w=181\",\"Find(4)=4, Find(6)=4, Add (4,6)=48 Failed, w=181\",\"Find(3)=4, Find(6)=4, Add (3,6)=54 Failed, w=181\",\"Find(0)=4, Find(5)=4, Add (0,5)=56 Failed, w=181\",\"Find(0)=4, Find(4)=4, Add (0,4)=62 Failed, w=181\",\"Find(2)=4, Find(7)=4, Add (2,7)=66 Failed, w=181\",\"Find(0)=4, Find(7)=4, Add (0,7)=71 Failed, w=181\",\"Find(1)=4, Find(5)=4, Add (1,5)=82 Failed, w=181\",\"Find(5)=4, Find(6)=4, Add (5,6)=82 Failed, w=181\",\"Find(4)=4, Find(7)=4, Add (4,7)=89 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,41],[0,4,62],[0,5,56],[0,7,71],[1,2,18],[1,5,82],[1,7,13],[2,6,28],[2,7,66],[3,6,54],[4,5,23],[4,6,48],[4,7,89],[5,6,82],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=13,(1,2)=18,(4,5)=23,(0,2)=24,(2,6)=28,(5,7)=34,(0,3)=41,(4,6)=48,(3,6)=54,(0,5)=56,(0,4)=62,(2,7)=66,(0,7)=71,(1,5)=82,(5,6)=82,(4,7)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 1}, Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=24 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=28 Succeeded, w=106\",\"Parent: {0: 1, 1: 4, 2: 1, 3: 3, 4: 4, 5: 4, 6: 1, 7: 1}, Find(5)=4, Find(7)=1, Add (5,7)=34 Succeeded, w=140\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4, 6: 1, 7: 1}, Find(0)=4, Find(3)=3, Add (0,3)=41 Succeeded, w=181\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(4)=4, Find(6)=4, Add (4,6)=48 Failed, w=181\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(3)=4, Find(6)=4, Add (3,6)=54 Failed, w=181\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(0)=4, Find(5)=4, Add (0,5)=56 Failed, w=181\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(0)=4, Find(4)=4, Add (0,4)=62 Failed, w=181\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=66 Failed, w=181\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=71 Failed, w=181\",\"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)=82 Failed, w=181\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=82 Failed, w=181\",\"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)=89 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,51],[0,3,23],[1,3,58],[2,3,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,23],[1,3,58],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,23],[1,3,58],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,23],[1,3,58],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23, w=23\",\"Add (0,2)=51, w=74\",\"Add (1,3)=58, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,23],[1,3,58],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23 Succeeded, w=23\",\"Add (0,2)=51 Succeeded, w=74\",\"Add (1,3)=58 Succeeded, w=132\",\"Add (2,3)=72 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,23],[1,3,58],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,2)=51,(1,3)=58,(2,3)=72]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=74\",\"Find(1)=1, Find(3)=0, Add (1,3)=58 Succeeded, w=132\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,23],[1,3,58],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,2)=51,(1,3)=58,(2,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=58 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,88],[0,2,51],[0,3,28],[0,5,38],[0,6,51],[1,2,44],[1,3,28],[1,4,52],[1,5,55],[1,6,48],[2,3,14],[2,4,22],[2,5,4],[2,6,9],[3,4,16],[3,5,16],[3,6,51],[4,6,18],[5,6,33]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,51],[0,3,28],[0,5,38],[0,6,51],[1,2,44],[1,3,28],[1,4,52],[1,5,55],[1,6,48],[2,3,14],[2,4,22],[2,5,4],[2,6,9],[3,4,16],[3,5,16],[3,6,51],[4,6,18],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,51],[0,3,28],[0,5,38],[0,6,51],[1,2,44],[1,3,28],[1,4,52],[1,5,55],[1,6,48],[2,3,14],[2,4,22],[2,5,4],[2,6,9],[3,4,16],[3,5,16],[3,6,51],[4,6,18],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,51],[0,3,28],[0,5,38],[0,6,51],[1,2,44],[1,3,28],[1,4,52],[1,5,55],[1,6,48],[2,3,14],[2,4,22],[2,5,4],[2,6,9],[3,4,16],[3,5,16],[3,6,51],[4,6,18],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (2,6)=9, w=13\",\"Add (2,3)=14, w=27\",\"Add (3,4)=16, w=43\",\"Add (0,3)=28, w=71\",\"Add (1,3)=28, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,51],[0,3,28],[0,5,38],[0,6,51],[1,2,44],[1,3,28],[1,4,52],[1,5,55],[1,6,48],[2,3,14],[2,4,22],[2,5,4],[2,6,9],[3,4,16],[3,5,16],[3,6,51],[4,6,18],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (2,6)=9 Succeeded, w=13\",\"Add (2,3)=14 Succeeded, w=27\",\"Add (3,4)=16 Succeeded, w=43\",\"Add (3,5)=16 Failed, w=43\",\"Add (4,6)=18 Failed, w=43\",\"Add (2,4)=22 Failed, w=43\",\"Add (0,3)=28 Succeeded, w=71\",\"Add (1,3)=28 Succeeded, w=99\",\"Add (5,6)=33 Failed, w=99\",\"Add (0,5)=38 Failed, w=99\",\"Add (1,2)=44 Failed, w=99\",\"Add (1,6)=48 Failed, w=99\",\"Add (0,2)=51 Failed, w=99\",\"Add (0,6)=51 Failed, w=99\",\"Add (3,6)=51 Failed, w=99\",\"Add (1,4)=52 Failed, w=99\",\"Add (1,5)=55 Failed, w=99\",\"Add (0,1)=88 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,51],[0,3,28],[0,5,38],[0,6,51],[1,2,44],[1,3,28],[1,4,52],[1,5,55],[1,6,48],[2,3,14],[2,4,22],[2,5,4],[2,6,9],[3,4,16],[3,5,16],[3,6,51],[4,6,18],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(2,6)=9,(2,3)=14,(3,4)=16,(3,5)=16,(4,6)=18,(2,4)=22,(0,3)=28,(1,3)=28,(5,6)=33,(0,5)=38,(1,2)=44,(1,6)=48,(0,2)=51,(0,6)=51,(3,6)=51,(1,4)=52,(1,5)=55,(0,1)=88]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=13\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=27\",\"Find(3)=2, Find(4)=4, Add (3,4)=16 Succeeded, w=43\",\"Find(3)=2, Find(5)=2, Add (3,5)=16 Failed, w=43\",\"Find(4)=2, Find(6)=2, Add (4,6)=18 Failed, w=43\",\"Find(2)=2, Find(4)=2, Add (2,4)=22 Failed, w=43\",\"Find(0)=0, Find(3)=2, Add (0,3)=28 Succeeded, w=71\",\"Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=99\",\"Find(5)=2, Find(6)=2, Add (5,6)=33 Failed, w=99\",\"Find(0)=2, Find(5)=2, Add (0,5)=38 Failed, w=99\",\"Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=99\",\"Find(1)=2, Find(6)=2, Add (1,6)=48 Failed, w=99\",\"Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=99\",\"Find(0)=2, Find(6)=2, Add (0,6)=51 Failed, w=99\",\"Find(3)=2, Find(6)=2, Add (3,6)=51 Failed, w=99\",\"Find(1)=2, Find(4)=2, Add (1,4)=52 Failed, w=99\",\"Find(1)=2, Find(5)=2, Add (1,5)=55 Failed, w=99\",\"Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,51],[0,3,28],[0,5,38],[0,6,51],[1,2,44],[1,3,28],[1,4,52],[1,5,55],[1,6,48],[2,3,14],[2,4,22],[2,5,4],[2,6,9],[3,4,16],[3,5,16],[3,6,51],[4,6,18],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(2,6)=9,(2,3)=14,(3,4)=16,(3,5)=16,(4,6)=18,(2,4)=22,(0,3)=28,(1,3)=28,(5,6)=33,(0,5)=38,(1,2)=44,(1,6)=48,(0,2)=51,(0,6)=51,(3,6)=51,(1,4)=52,(1,5)=55,(0,1)=88]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=4, Add (3,4)=16 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=16 Failed, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=18 Failed, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=22 Failed, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=28 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=33 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=38 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=48 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=51 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=51 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=52 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=55 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,99],[0,5,72],[1,2,84],[1,3,50],[1,5,50],[2,5,46],[2,6,47],[3,4,67],[3,5,71],[3,6,19],[4,6,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,5,72],[1,2,84],[1,3,50],[1,5,50],[2,5,46],[2,6,47],[3,4,67],[3,5,71],[3,6,19],[4,6,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":260}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,5,72],[1,2,84],[1,3,50],[1,5,50],[2,5,46],[2,6,47],[3,4,67],[3,5,71],[3,6,19],[4,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (0,5)\"],\"Answer\":260}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,5,72],[1,2,84],[1,3,50],[1,5,50],[2,5,46],[2,6,47],[3,4,67],[3,5,71],[3,6,19],[4,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=19, w=19\",\"Add (4,6)=26, w=45\",\"Add (2,5)=46, w=91\",\"Add (2,6)=47, w=138\",\"Add (1,3)=50, w=188\",\"Add (0,5)=72, w=260\"],\"Answer\":260}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,5,72],[1,2,84],[1,3,50],[1,5,50],[2,5,46],[2,6,47],[3,4,67],[3,5,71],[3,6,19],[4,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=19 Succeeded, w=19\",\"Add (4,6)=26 Succeeded, w=45\",\"Add (2,5)=46 Succeeded, w=91\",\"Add (2,6)=47 Succeeded, w=138\",\"Add (1,3)=50 Succeeded, w=188\",\"Add (1,5)=50 Failed, w=188\",\"Add (3,4)=67 Failed, w=188\",\"Add (3,5)=71 Failed, w=188\",\"Add (0,5)=72 Succeeded, w=260\",\"Add (1,2)=84 Failed, w=260\",\"Add (0,1)=99 Failed, w=260\"],\"Answer\":260}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,5,72],[1,2,84],[1,3,50],[1,5,50],[2,5,46],[2,6,47],[3,4,67],[3,5,71],[3,6,19],[4,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=19,(4,6)=26,(2,5)=46,(2,6)=47,(1,3)=50,(1,5)=50,(3,4)=67,(3,5)=71,(0,5)=72,(1,2)=84,(0,1)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=19 Succeeded, w=19\",\"Find(4)=4, Find(6)=3, Add (4,6)=26 Succeeded, w=45\",\"Find(2)=2, Find(5)=5, Add (2,5)=46 Succeeded, w=91\",\"Find(2)=2, Find(6)=3, Add (2,6)=47 Succeeded, w=138\",\"Find(1)=1, Find(3)=2, Add (1,3)=50 Succeeded, w=188\",\"Find(1)=2, Find(5)=2, Add (1,5)=50 Failed, w=188\",\"Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=188\",\"Find(3)=2, Find(5)=2, Add (3,5)=71 Failed, w=188\",\"Find(0)=0, Find(5)=2, Add (0,5)=72 Succeeded, w=260\",\"Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=260\",\"Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=260\"],\"Answer\":260}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,5,72],[1,2,84],[1,3,50],[1,5,50],[2,5,46],[2,6,47],[3,4,67],[3,5,71],[3,6,19],[4,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=19,(4,6)=26,(2,5)=46,(2,6)=47,(1,3)=50,(1,5)=50,(3,4)=67,(3,5)=71,(0,5)=72,(1,2)=84,(0,1)=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)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=26 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 3}, Find(2)=2, Find(5)=5, Add (2,5)=46 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=47 Succeeded, w=138\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 3}, Find(1)=1, Find(3)=2, Add (1,3)=50 Succeeded, w=188\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 3}, Find(1)=2, Find(5)=2, Add (1,5)=50 Failed, w=188\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=188\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(3)=2, Find(5)=2, Add (3,5)=71 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(0)=0, Find(5)=2, Add (0,5)=72 Succeeded, w=260\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=260\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=260\"],\"Answer\":260}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,27],[0,2,23],[0,3,72],[0,4,67],[0,5,71],[0,6,25],[0,7,69],[1,2,93],[1,4,51],[1,6,53],[1,7,25],[2,3,80],[2,4,21],[2,5,39],[2,6,15],[3,4,67],[3,5,20],[3,6,40],[3,7,85],[4,5,31],[4,6,10],[4,7,57],[5,6,52],[5,7,21],[6,7,21]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,23],[0,3,72],[0,4,67],[0,5,71],[0,6,25],[0,7,69],[1,2,93],[1,4,51],[1,6,53],[1,7,25],[2,3,80],[2,4,21],[2,5,39],[2,6,15],[3,4,67],[3,5,20],[3,6,40],[3,7,85],[4,5,31],[4,6,10],[4,7,57],[5,6,52],[5,7,21],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,23],[0,3,72],[0,4,67],[0,5,71],[0,6,25],[0,7,69],[1,2,93],[1,4,51],[1,6,53],[1,7,25],[2,3,80],[2,4,21],[2,5,39],[2,6,15],[3,4,67],[3,5,20],[3,6,40],[3,7,85],[4,5,31],[4,6,10],[4,7,57],[5,6,52],[5,7,21],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (5,7)\",\"Add (6,7)\",\"Add (0,2)\",\"Add (1,7)\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,23],[0,3,72],[0,4,67],[0,5,71],[0,6,25],[0,7,69],[1,2,93],[1,4,51],[1,6,53],[1,7,25],[2,3,80],[2,4,21],[2,5,39],[2,6,15],[3,4,67],[3,5,20],[3,6,40],[3,7,85],[4,5,31],[4,6,10],[4,7,57],[5,6,52],[5,7,21],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=10, w=10\",\"Add (2,6)=15, w=25\",\"Add (3,5)=20, w=45\",\"Add (5,7)=21, w=66\",\"Add (6,7)=21, w=87\",\"Add (0,2)=23, w=110\",\"Add (1,7)=25, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,23],[0,3,72],[0,4,67],[0,5,71],[0,6,25],[0,7,69],[1,2,93],[1,4,51],[1,6,53],[1,7,25],[2,3,80],[2,4,21],[2,5,39],[2,6,15],[3,4,67],[3,5,20],[3,6,40],[3,7,85],[4,5,31],[4,6,10],[4,7,57],[5,6,52],[5,7,21],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=10 Succeeded, w=10\",\"Add (2,6)=15 Succeeded, w=25\",\"Add (3,5)=20 Succeeded, w=45\",\"Add (2,4)=21 Failed, w=45\",\"Add (5,7)=21 Succeeded, w=66\",\"Add (6,7)=21 Succeeded, w=87\",\"Add (0,2)=23 Succeeded, w=110\",\"Add (0,6)=25 Failed, w=110\",\"Add (1,7)=25 Succeeded, w=135\",\"Add (0,1)=27 Failed, w=135\",\"Add (4,5)=31 Failed, w=135\",\"Add (2,5)=39 Failed, w=135\",\"Add (3,6)=40 Failed, w=135\",\"Add (1,4)=51 Failed, w=135\",\"Add (5,6)=52 Failed, w=135\",\"Add (1,6)=53 Failed, w=135\",\"Add (4,7)=57 Failed, w=135\",\"Add (0,4)=67 Failed, w=135\",\"Add (3,4)=67 Failed, w=135\",\"Add (0,7)=69 Failed, w=135\",\"Add (0,5)=71 Failed, w=135\",\"Add (0,3)=72 Failed, w=135\",\"Add (2,3)=80 Failed, w=135\",\"Add (3,7)=85 Failed, w=135\",\"Add (1,2)=93 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,23],[0,3,72],[0,4,67],[0,5,71],[0,6,25],[0,7,69],[1,2,93],[1,4,51],[1,6,53],[1,7,25],[2,3,80],[2,4,21],[2,5,39],[2,6,15],[3,4,67],[3,5,20],[3,6,40],[3,7,85],[4,5,31],[4,6,10],[4,7,57],[5,6,52],[5,7,21],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=10,(2,6)=15,(3,5)=20,(2,4)=21,(5,7)=21,(6,7)=21,(0,2)=23,(0,6)=25,(1,7)=25,(0,1)=27,(4,5)=31,(2,5)=39,(3,6)=40,(1,4)=51,(5,6)=52,(1,6)=53,(4,7)=57,(0,4)=67,(3,4)=67,(0,7)=69,(0,5)=71,(0,3)=72,(2,3)=80,(3,7)=85,(1,2)=93]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=10 Succeeded, w=10\",\"Find(2)=2, Find(6)=4, Add (2,6)=15 Succeeded, w=25\",\"Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=45\",\"Find(2)=4, Find(4)=4, Add (2,4)=21 Failed, w=45\",\"Find(5)=3, Find(7)=7, Add (5,7)=21 Succeeded, w=66\",\"Find(6)=4, Find(7)=3, Add (6,7)=21 Succeeded, w=87\",\"Find(0)=0, Find(2)=4, Add (0,2)=23 Succeeded, w=110\",\"Find(0)=4, Find(6)=4, Add (0,6)=25 Failed, w=110\",\"Find(1)=1, Find(7)=4, Add (1,7)=25 Succeeded, w=135\",\"Find(0)=4, Find(1)=4, Add (0,1)=27 Failed, w=135\",\"Find(4)=4, Find(5)=4, Add (4,5)=31 Failed, w=135\",\"Find(2)=4, Find(5)=4, Add (2,5)=39 Failed, w=135\",\"Find(3)=4, Find(6)=4, Add (3,6)=40 Failed, w=135\",\"Find(1)=4, Find(4)=4, Add (1,4)=51 Failed, w=135\",\"Find(5)=4, Find(6)=4, Add (5,6)=52 Failed, w=135\",\"Find(1)=4, Find(6)=4, Add (1,6)=53 Failed, w=135\",\"Find(4)=4, Find(7)=4, Add (4,7)=57 Failed, w=135\",\"Find(0)=4, Find(4)=4, Add (0,4)=67 Failed, w=135\",\"Find(3)=4, Find(4)=4, Add (3,4)=67 Failed, w=135\",\"Find(0)=4, Find(7)=4, Add (0,7)=69 Failed, w=135\",\"Find(0)=4, Find(5)=4, Add (0,5)=71 Failed, w=135\",\"Find(0)=4, Find(3)=4, Add (0,3)=72 Failed, w=135\",\"Find(2)=4, Find(3)=4, Add (2,3)=80 Failed, w=135\",\"Find(3)=4, Find(7)=4, Add (3,7)=85 Failed, w=135\",\"Find(1)=4, Find(2)=4, Add (1,2)=93 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,23],[0,3,72],[0,4,67],[0,5,71],[0,6,25],[0,7,69],[1,2,93],[1,4,51],[1,6,53],[1,7,25],[2,3,80],[2,4,21],[2,5,39],[2,6,15],[3,4,67],[3,5,20],[3,6,40],[3,7,85],[4,5,31],[4,6,10],[4,7,57],[5,6,52],[5,7,21],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=10,(2,6)=15,(3,5)=20,(2,4)=21,(5,7)=21,(6,7)=21,(0,2)=23,(0,6)=25,(1,7)=25,(0,1)=27,(4,5)=31,(2,5)=39,(3,6)=40,(1,4)=51,(5,6)=52,(1,6)=53,(4,7)=57,(0,4)=67,(3,4)=67,(0,7)=69,(0,5)=71,(0,3)=72,(2,3)=80,(3,7)=85,(1,2)=93]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(2)=2, Find(6)=4, Add (2,6)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 3, 6: 4, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 3, 6: 4, 7: 7}, Find(2)=4, Find(4)=4, Add (2,4)=21 Failed, w=45\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 3, 6: 4, 7: 3}, Find(5)=3, Find(7)=7, Add (5,7)=21 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 3, 6: 4, 7: 3}, Find(6)=4, Find(7)=3, Add (6,7)=21 Succeeded, w=87\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 3, 6: 4, 7: 3}, Find(0)=0, Find(2)=4, Add (0,2)=23 Succeeded, w=110\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 3, 6: 4, 7: 3}, Find(0)=4, Find(6)=4, Add (0,6)=25 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 3, 6: 4, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=25 Succeeded, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 3, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=27 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=4, Add (4,5)=31 Failed, w=135\",\"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)=39 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=40 Failed, w=135\",\"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)=51 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=52 Failed, w=135\",\"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)=53 Failed, w=135\",\"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)=57 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=67 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=67 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=69 Failed, w=135\",\"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)=71 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=72 Failed, w=135\",\"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)=80 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=85 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=93 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,2,62],[0,3,4],[0,4,60],[1,2,8],[1,3,13],[1,4,99],[2,4,13],[3,4,97]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,62],[0,3,4],[0,4,60],[1,2,8],[1,3,13],[1,4,99],[2,4,13],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,62],[0,3,4],[0,4,60],[1,2,8],[1,3,13],[1,4,99],[2,4,13],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,62],[0,3,4],[0,4,60],[1,2,8],[1,3,13],[1,4,99],[2,4,13],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (1,2)=8, w=12\",\"Add (1,3)=13, w=25\",\"Add (2,4)=13, w=38\"],\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,62],[0,3,4],[0,4,60],[1,2,8],[1,3,13],[1,4,99],[2,4,13],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (1,2)=8 Succeeded, w=12\",\"Add (1,3)=13 Succeeded, w=25\",\"Add (2,4)=13 Succeeded, w=38\",\"Add (0,4)=60 Failed, w=38\",\"Add (0,2)=62 Failed, w=38\",\"Add (3,4)=97 Failed, w=38\",\"Add (1,4)=99 Failed, w=38\",\"Add (0,1)=100 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,62],[0,3,4],[0,4,60],[1,2,8],[1,3,13],[1,4,99],[2,4,13],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,2)=8,(1,3)=13,(2,4)=13,(0,4)=60,(0,2)=62,(3,4)=97,(1,4)=99,(0,1)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=12\",\"Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=25\",\"Find(2)=1, Find(4)=4, Add (2,4)=13 Succeeded, w=38\",\"Find(0)=1, Find(4)=1, Add (0,4)=60 Failed, w=38\",\"Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=38\",\"Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=38\",\"Find(1)=1, Find(4)=1, Add (1,4)=99 Failed, w=38\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,62],[0,3,4],[0,4,60],[1,2,8],[1,3,13],[1,4,99],[2,4,13],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,2)=8,(1,3)=13,(2,4)=13,(0,4)=60,(0,2)=62,(3,4)=97,(1,4)=99,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=13 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=60 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=99 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,6],[0,2,18],[0,3,72],[0,4,91],[0,5,33],[0,7,69],[1,3,43],[1,4,96],[1,5,39],[1,6,48],[1,7,67],[2,3,51],[2,4,1],[2,6,8],[2,7,78],[3,5,68],[3,6,54],[3,7,70],[4,6,12],[4,7,89],[5,6,80],[5,7,29],[6,7,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,18],[0,3,72],[0,4,91],[0,5,33],[0,7,69],[1,3,43],[1,4,96],[1,5,39],[1,6,48],[1,7,67],[2,3,51],[2,4,1],[2,6,8],[2,7,78],[3,5,68],[3,6,54],[3,7,70],[4,6,12],[4,7,89],[5,6,80],[5,7,29],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,18],[0,3,72],[0,4,91],[0,5,33],[0,7,69],[1,3,43],[1,4,96],[1,5,39],[1,6,48],[1,7,67],[2,3,51],[2,4,1],[2,6,8],[2,7,78],[3,5,68],[3,6,54],[3,7,70],[4,6,12],[4,7,89],[5,6,80],[5,7,29],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (5,7)\",\"Add (0,5)\",\"Add (1,3)\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,18],[0,3,72],[0,4,91],[0,5,33],[0,7,69],[1,3,43],[1,4,96],[1,5,39],[1,6,48],[1,7,67],[2,3,51],[2,4,1],[2,6,8],[2,7,78],[3,5,68],[3,6,54],[3,7,70],[4,6,12],[4,7,89],[5,6,80],[5,7,29],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,1)=6, w=7\",\"Add (2,6)=8, w=15\",\"Add (0,2)=18, w=33\",\"Add (5,7)=29, w=62\",\"Add (0,5)=33, w=95\",\"Add (1,3)=43, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,18],[0,3,72],[0,4,91],[0,5,33],[0,7,69],[1,3,43],[1,4,96],[1,5,39],[1,6,48],[1,7,67],[2,3,51],[2,4,1],[2,6,8],[2,7,78],[3,5,68],[3,6,54],[3,7,70],[4,6,12],[4,7,89],[5,6,80],[5,7,29],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,1)=6 Succeeded, w=7\",\"Add (2,6)=8 Succeeded, w=15\",\"Add (4,6)=12 Failed, w=15\",\"Add (0,2)=18 Succeeded, w=33\",\"Add (5,7)=29 Succeeded, w=62\",\"Add (0,5)=33 Succeeded, w=95\",\"Add (1,5)=39 Failed, w=95\",\"Add (1,3)=43 Succeeded, w=138\",\"Add (1,6)=48 Failed, w=138\",\"Add (2,3)=51 Failed, w=138\",\"Add (3,6)=54 Failed, w=138\",\"Add (6,7)=64 Failed, w=138\",\"Add (1,7)=67 Failed, w=138\",\"Add (3,5)=68 Failed, w=138\",\"Add (0,7)=69 Failed, w=138\",\"Add (3,7)=70 Failed, w=138\",\"Add (0,3)=72 Failed, w=138\",\"Add (2,7)=78 Failed, w=138\",\"Add (5,6)=80 Failed, w=138\",\"Add (4,7)=89 Failed, w=138\",\"Add (0,4)=91 Failed, w=138\",\"Add (1,4)=96 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,18],[0,3,72],[0,4,91],[0,5,33],[0,7,69],[1,3,43],[1,4,96],[1,5,39],[1,6,48],[1,7,67],[2,3,51],[2,4,1],[2,6,8],[2,7,78],[3,5,68],[3,6,54],[3,7,70],[4,6,12],[4,7,89],[5,6,80],[5,7,29],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,1)=6,(2,6)=8,(4,6)=12,(0,2)=18,(5,7)=29,(0,5)=33,(1,5)=39,(1,3)=43,(1,6)=48,(2,3)=51,(3,6)=54,(6,7)=64,(1,7)=67,(3,5)=68,(0,7)=69,(3,7)=70,(0,3)=72,(2,7)=78,(5,6)=80,(4,7)=89,(0,4)=91,(1,4)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=15\",\"Find(4)=2, Find(6)=2, Add (4,6)=12 Failed, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=33\",\"Find(5)=5, Find(7)=7, Add (5,7)=29 Succeeded, w=62\",\"Find(0)=0, Find(5)=5, Add (0,5)=33 Succeeded, w=95\",\"Find(1)=0, Find(5)=0, Add (1,5)=39 Failed, w=95\",\"Find(1)=0, Find(3)=3, Add (1,3)=43 Succeeded, w=138\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=138\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=138\",\"Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=138\",\"Find(6)=0, Find(7)=0, Add (6,7)=64 Failed, w=138\",\"Find(1)=0, Find(7)=0, Add (1,7)=67 Failed, w=138\",\"Find(3)=0, Find(5)=0, Add (3,5)=68 Failed, w=138\",\"Find(0)=0, Find(7)=0, Add (0,7)=69 Failed, w=138\",\"Find(3)=0, Find(7)=0, Add (3,7)=70 Failed, w=138\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=138\",\"Find(2)=0, Find(7)=0, Add (2,7)=78 Failed, w=138\",\"Find(5)=0, Find(6)=0, Add (5,6)=80 Failed, w=138\",\"Find(4)=0, Find(7)=0, Add (4,7)=89 Failed, w=138\",\"Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=138\",\"Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,18],[0,3,72],[0,4,91],[0,5,33],[0,7,69],[1,3,43],[1,4,96],[1,5,39],[1,6,48],[1,7,67],[2,3,51],[2,4,1],[2,6,8],[2,7,78],[3,5,68],[3,6,54],[3,7,70],[4,6,12],[4,7,89],[5,6,80],[5,7,29],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,1)=6,(2,6)=8,(4,6)=12,(0,2)=18,(5,7)=29,(0,5)=33,(1,5)=39,(1,3)=43,(1,6)=48,(2,3)=51,(3,6)=54,(6,7)=64,(1,7)=67,(3,5)=68,(0,7)=69,(3,7)=70,(0,3)=72,(2,7)=78,(5,6)=80,(4,7)=89,(0,4)=91,(1,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(4)=2, Find(6)=2, Add (4,6)=12 Failed, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5, 6: 2, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=29 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 2, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=33 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 2, 7: 5}, Find(1)=0, Find(5)=0, Add (1,5)=39 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2, 7: 5}, Find(1)=0, Find(3)=3, Add (1,3)=43 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 5}, Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=64 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=67 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=68 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=69 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=70 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=78 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=80 Failed, w=138\",\"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=138\",\"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)=91 Failed, w=138\",\"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)=96 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,12],[0,3,14],[0,4,59],[0,5,61],[1,3,48],[1,4,55],[2,4,23],[2,5,31],[3,5,90],[4,5,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,3,14],[0,4,59],[0,5,61],[1,3,48],[1,4,55],[2,4,23],[2,5,31],[3,5,90],[4,5,78]]}",
"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\":[[0,1,12],[0,3,14],[0,4,59],[0,5,61],[1,3,48],[1,4,55],[2,4,23],[2,5,31],[3,5,90],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,3,14],[0,4,59],[0,5,61],[1,3,48],[1,4,55],[2,4,23],[2,5,31],[3,5,90],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (0,3)=14, w=26\",\"Add (2,4)=23, w=49\",\"Add (2,5)=31, w=80\",\"Add (1,4)=55, 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\":[[0,1,12],[0,3,14],[0,4,59],[0,5,61],[1,3,48],[1,4,55],[2,4,23],[2,5,31],[3,5,90],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (0,3)=14 Succeeded, w=26\",\"Add (2,4)=23 Succeeded, w=49\",\"Add (2,5)=31 Succeeded, w=80\",\"Add (1,3)=48 Failed, w=80\",\"Add (1,4)=55 Succeeded, w=135\",\"Add (0,4)=59 Failed, w=135\",\"Add (0,5)=61 Failed, w=135\",\"Add (4,5)=78 Failed, w=135\",\"Add (3,5)=90 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\":[[0,1,12],[0,3,14],[0,4,59],[0,5,61],[1,3,48],[1,4,55],[2,4,23],[2,5,31],[3,5,90],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(0,3)=14,(2,4)=23,(2,5)=31,(1,3)=48,(1,4)=55,(0,4)=59,(0,5)=61,(4,5)=78,(3,5)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=26\",\"Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=49\",\"Find(2)=2, Find(5)=5, Add (2,5)=31 Succeeded, w=80\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=80\",\"Find(1)=0, Find(4)=2, Add (1,4)=55 Succeeded, w=135\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=135\",\"Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=135\",\"Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=135\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 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\":[[0,1,12],[0,3,14],[0,4,59],[0,5,61],[1,3,48],[1,4,55],[2,4,23],[2,5,31],[3,5,90],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(0,3)=14,(2,4)=23,(2,5)=31,(1,3)=48,(1,4)=55,(0,4)=59,(0,5)=61,(4,5)=78,(3,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=31 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(1)=0, Find(4)=2, Add (1,4)=55 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,2,62],[0,4,62],[0,5,15],[2,3,20],[2,5,69],[3,4,17],[4,5,29]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,62],[0,4,62],[0,5,15],[2,3,20],[2,5,69],[3,4,17],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,62],[0,4,62],[0,5,15],[2,3,20],[2,5,69],[3,4,17],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (0,1)\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,62],[0,4,62],[0,5,15],[2,3,20],[2,5,69],[3,4,17],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=15, w=15\",\"Add (3,4)=17, w=32\",\"Add (2,3)=20, w=52\",\"Add (4,5)=29, w=81\",\"Add (0,1)=55, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,62],[0,4,62],[0,5,15],[2,3,20],[2,5,69],[3,4,17],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=15 Succeeded, w=15\",\"Add (3,4)=17 Succeeded, w=32\",\"Add (2,3)=20 Succeeded, w=52\",\"Add (4,5)=29 Succeeded, w=81\",\"Add (0,1)=55 Succeeded, w=136\",\"Add (0,2)=62 Failed, w=136\",\"Add (0,4)=62 Failed, w=136\",\"Add (2,5)=69 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,62],[0,4,62],[0,5,15],[2,3,20],[2,5,69],[3,4,17],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=15,(3,4)=17,(2,3)=20,(4,5)=29,(0,1)=55,(0,2)=62,(0,4)=62,(2,5)=69]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=15\",\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=32\",\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=52\",\"Find(4)=3, Find(5)=0, Add (4,5)=29 Succeeded, w=81\",\"Find(0)=3, Find(1)=1, Add (0,1)=55 Succeeded, w=136\",\"Find(0)=3, Find(2)=3, Add (0,2)=62 Failed, w=136\",\"Find(0)=3, Find(4)=3, Add (0,4)=62 Failed, w=136\",\"Find(2)=3, Find(5)=3, Add (2,5)=69 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,62],[0,4,62],[0,5,15],[2,3,20],[2,5,69],[3,4,17],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=15,(3,4)=17,(2,3)=20,(4,5)=29,(0,1)=55,(0,2)=62,(0,4)=62,(2,5)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=52\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(4)=3, Find(5)=0, Add (4,5)=29 Succeeded, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(1)=1, Add (0,1)=55 Succeeded, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(2)=3, Add (0,2)=62 Failed, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(4)=3, Add (0,4)=62 Failed, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=69 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,2,73],[0,3,76],[0,4,93],[0,5,23],[0,7,62],[1,2,3],[1,3,14],[1,4,9],[1,5,9],[1,6,97],[1,7,59],[2,3,9],[2,4,44],[2,6,37],[2,7,44],[3,4,82],[3,7,4],[4,5,71],[4,7,100],[5,6,53],[5,7,20]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,73],[0,3,76],[0,4,93],[0,5,23],[0,7,62],[1,2,3],[1,3,14],[1,4,9],[1,5,9],[1,6,97],[1,7,59],[2,3,9],[2,4,44],[2,6,37],[2,7,44],[3,4,82],[3,7,4],[4,5,71],[4,7,100],[5,6,53],[5,7,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,73],[0,3,76],[0,4,93],[0,5,23],[0,7,62],[1,2,3],[1,3,14],[1,4,9],[1,5,9],[1,6,97],[1,7,59],[2,3,9],[2,4,44],[2,6,37],[2,7,44],[3,4,82],[3,7,4],[4,5,71],[4,7,100],[5,6,53],[5,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,7)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (2,6)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,73],[0,3,76],[0,4,93],[0,5,23],[0,7,62],[1,2,3],[1,3,14],[1,4,9],[1,5,9],[1,6,97],[1,7,59],[2,3,9],[2,4,44],[2,6,37],[2,7,44],[3,4,82],[3,7,4],[4,5,71],[4,7,100],[5,6,53],[5,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (3,7)=4, w=7\",\"Add (1,4)=9, w=16\",\"Add (1,5)=9, w=25\",\"Add (2,3)=9, w=34\",\"Add (0,5)=23, w=57\",\"Add (2,6)=37, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,73],[0,3,76],[0,4,93],[0,5,23],[0,7,62],[1,2,3],[1,3,14],[1,4,9],[1,5,9],[1,6,97],[1,7,59],[2,3,9],[2,4,44],[2,6,37],[2,7,44],[3,4,82],[3,7,4],[4,5,71],[4,7,100],[5,6,53],[5,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (3,7)=4 Succeeded, w=7\",\"Add (1,4)=9 Succeeded, w=16\",\"Add (1,5)=9 Succeeded, w=25\",\"Add (2,3)=9 Succeeded, w=34\",\"Add (1,3)=14 Failed, w=34\",\"Add (5,7)=20 Failed, w=34\",\"Add (0,5)=23 Succeeded, w=57\",\"Add (2,6)=37 Succeeded, w=94\",\"Add (2,4)=44 Failed, w=94\",\"Add (2,7)=44 Failed, w=94\",\"Add (5,6)=53 Failed, w=94\",\"Add (0,1)=56 Failed, w=94\",\"Add (1,7)=59 Failed, w=94\",\"Add (0,7)=62 Failed, w=94\",\"Add (4,5)=71 Failed, w=94\",\"Add (0,2)=73 Failed, w=94\",\"Add (0,3)=76 Failed, w=94\",\"Add (3,4)=82 Failed, w=94\",\"Add (0,4)=93 Failed, w=94\",\"Add (1,6)=97 Failed, w=94\",\"Add (4,7)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,73],[0,3,76],[0,4,93],[0,5,23],[0,7,62],[1,2,3],[1,3,14],[1,4,9],[1,5,9],[1,6,97],[1,7,59],[2,3,9],[2,4,44],[2,6,37],[2,7,44],[3,4,82],[3,7,4],[4,5,71],[4,7,100],[5,6,53],[5,7,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(3,7)=4,(1,4)=9,(1,5)=9,(2,3)=9,(1,3)=14,(5,7)=20,(0,5)=23,(2,6)=37,(2,4)=44,(2,7)=44,(5,6)=53,(0,1)=56,(1,7)=59,(0,7)=62,(4,5)=71,(0,2)=73,(0,3)=76,(3,4)=82,(0,4)=93,(1,6)=97,(4,7)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=16\",\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=25\",\"Find(2)=1, Find(3)=3, Add (2,3)=9 Succeeded, w=34\",\"Find(1)=1, Find(3)=1, Add (1,3)=14 Failed, w=34\",\"Find(5)=1, Find(7)=1, Add (5,7)=20 Failed, w=34\",\"Find(0)=0, Find(5)=1, Add (0,5)=23 Succeeded, w=57\",\"Find(2)=1, Find(6)=6, Add (2,6)=37 Succeeded, w=94\",\"Find(2)=1, Find(4)=1, Add (2,4)=44 Failed, w=94\",\"Find(2)=1, Find(7)=1, Add (2,7)=44 Failed, w=94\",\"Find(5)=1, Find(6)=1, Add (5,6)=53 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=94\",\"Find(1)=1, Find(7)=1, Add (1,7)=59 Failed, w=94\",\"Find(0)=1, Find(7)=1, Add (0,7)=62 Failed, w=94\",\"Find(4)=1, Find(5)=1, Add (4,5)=71 Failed, w=94\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=94\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=94\",\"Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=94\",\"Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=94\",\"Find(1)=1, Find(6)=1, Add (1,6)=97 Failed, w=94\",\"Find(4)=1, Find(7)=1, Add (4,7)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,73],[0,3,76],[0,4,93],[0,5,23],[0,7,62],[1,2,3],[1,3,14],[1,4,9],[1,5,9],[1,6,97],[1,7,59],[2,3,9],[2,4,44],[2,6,37],[2,7,44],[3,4,82],[3,7,4],[4,5,71],[4,7,100],[5,6,53],[5,7,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(3,7)=4,(1,4)=9,(1,5)=9,(2,3)=9,(1,3)=14,(5,7)=20,(0,5)=23,(2,6)=37,(2,4)=44,(2,7)=44,(5,6)=53,(0,1)=56,(1,7)=59,(0,7)=62,(4,5)=71,(0,2)=73,(0,3)=76,(3,4)=82,(0,4)=93,(1,6)=97,(4,7)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 3}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(2)=1, Find(3)=3, Add (2,3)=9 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(1)=1, Find(3)=1, Add (1,3)=14 Failed, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=20 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=23 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=37 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=44 Failed, w=94\",\"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)=44 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=53 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=94\",\"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)=59 Failed, w=94\",\"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)=62 Failed, w=94\",\"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)=71 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=97 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,24],[0,2,19],[0,3,76],[1,3,55]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,19],[0,3,76],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,19],[0,3,76],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,19],[0,3,76],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (0,1)=24, w=43\",\"Add (1,3)=55, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,19],[0,3,76],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (0,1)=24 Succeeded, w=43\",\"Add (1,3)=55 Succeeded, w=98\",\"Add (0,3)=76 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,19],[0,3,76],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,1)=24,(1,3)=55,(0,3)=76]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=43\",\"Find(1)=0, Find(3)=3, Add (1,3)=55 Succeeded, w=98\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,19],[0,3,76],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,1)=24,(1,3)=55,(0,3)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=55 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,35],[0,2,69],[0,3,78],[0,4,40],[0,5,74],[1,2,68],[1,3,53],[1,4,21],[1,5,31],[2,3,15],[2,5,6],[3,4,86],[3,5,37],[4,5,50]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,69],[0,3,78],[0,4,40],[0,5,74],[1,2,68],[1,3,53],[1,4,21],[1,5,31],[2,3,15],[2,5,6],[3,4,86],[3,5,37],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,69],[0,3,78],[0,4,40],[0,5,74],[1,2,68],[1,3,53],[1,4,21],[1,5,31],[2,3,15],[2,5,6],[3,4,86],[3,5,37],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (0,1)\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,69],[0,3,78],[0,4,40],[0,5,74],[1,2,68],[1,3,53],[1,4,21],[1,5,31],[2,3,15],[2,5,6],[3,4,86],[3,5,37],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6, w=6\",\"Add (2,3)=15, w=21\",\"Add (1,4)=21, w=42\",\"Add (1,5)=31, w=73\",\"Add (0,1)=35, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,69],[0,3,78],[0,4,40],[0,5,74],[1,2,68],[1,3,53],[1,4,21],[1,5,31],[2,3,15],[2,5,6],[3,4,86],[3,5,37],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6 Succeeded, w=6\",\"Add (2,3)=15 Succeeded, w=21\",\"Add (1,4)=21 Succeeded, w=42\",\"Add (1,5)=31 Succeeded, w=73\",\"Add (0,1)=35 Succeeded, w=108\",\"Add (3,5)=37 Failed, w=108\",\"Add (0,4)=40 Failed, w=108\",\"Add (4,5)=50 Failed, w=108\",\"Add (1,3)=53 Failed, w=108\",\"Add (1,2)=68 Failed, w=108\",\"Add (0,2)=69 Failed, w=108\",\"Add (0,5)=74 Failed, w=108\",\"Add (0,3)=78 Failed, w=108\",\"Add (3,4)=86 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,69],[0,3,78],[0,4,40],[0,5,74],[1,2,68],[1,3,53],[1,4,21],[1,5,31],[2,3,15],[2,5,6],[3,4,86],[3,5,37],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(2,3)=15,(1,4)=21,(1,5)=31,(0,1)=35,(3,5)=37,(0,4)=40,(4,5)=50,(1,3)=53,(1,2)=68,(0,2)=69,(0,5)=74,(0,3)=78,(3,4)=86]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=21\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=42\",\"Find(1)=1, Find(5)=2, Add (1,5)=31 Succeeded, w=73\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=108\",\"Find(3)=1, Find(5)=1, Add (3,5)=37 Failed, w=108\",\"Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=108\",\"Find(4)=1, Find(5)=1, Add (4,5)=50 Failed, w=108\",\"Find(1)=1, Find(3)=1, Add (1,3)=53 Failed, w=108\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=108\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=108\",\"Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=108\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=108\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,69],[0,3,78],[0,4,40],[0,5,74],[1,2,68],[1,3,53],[1,4,21],[1,5,31],[2,3,15],[2,5,6],[3,4,86],[3,5,37],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(2,3)=15,(1,4)=21,(1,5)=31,(0,1)=35,(3,5)=37,(0,4)=40,(4,5)=50,(1,3)=53,(1,2)=68,(0,2)=69,(0,5)=74,(0,3)=78,(3,4)=86]\",\"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: 2, 4: 4, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=31 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=37 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=50 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=53 Failed, w=108\",\"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=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=108\",\"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=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,18],[0,3,84],[0,4,78],[0,6,9],[0,7,53],[1,3,71],[1,4,59],[1,5,98],[1,7,92],[2,5,58],[2,6,43],[2,7,25],[3,5,21],[4,5,61],[4,6,47],[4,7,59],[5,6,91],[6,7,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,84],[0,4,78],[0,6,9],[0,7,53],[1,3,71],[1,4,59],[1,5,98],[1,7,92],[2,5,58],[2,6,43],[2,7,25],[3,5,21],[4,5,61],[4,6,47],[4,7,59],[5,6,91],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":237}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,84],[0,4,78],[0,6,9],[0,7,53],[1,3,71],[1,4,59],[1,5,98],[1,7,92],[2,5,58],[2,6,43],[2,7,25],[3,5,21],[4,5,61],[4,6,47],[4,7,59],[5,6,91],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (2,7)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":237}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,84],[0,4,78],[0,6,9],[0,7,53],[1,3,71],[1,4,59],[1,5,98],[1,7,92],[2,5,58],[2,6,43],[2,7,25],[3,5,21],[4,5,61],[4,6,47],[4,7,59],[5,6,91],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9, w=9\",\"Add (0,2)=18, w=27\",\"Add (3,5)=21, w=48\",\"Add (2,7)=25, w=73\",\"Add (4,6)=47, w=120\",\"Add (2,5)=58, w=178\",\"Add (1,4)=59, w=237\"],\"Answer\":237}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,84],[0,4,78],[0,6,9],[0,7,53],[1,3,71],[1,4,59],[1,5,98],[1,7,92],[2,5,58],[2,6,43],[2,7,25],[3,5,21],[4,5,61],[4,6,47],[4,7,59],[5,6,91],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9 Succeeded, w=9\",\"Add (0,2)=18 Succeeded, w=27\",\"Add (3,5)=21 Succeeded, w=48\",\"Add (2,7)=25 Succeeded, w=73\",\"Add (6,7)=26 Failed, w=73\",\"Add (2,6)=43 Failed, w=73\",\"Add (4,6)=47 Succeeded, w=120\",\"Add (0,7)=53 Failed, w=120\",\"Add (2,5)=58 Succeeded, w=178\",\"Add (1,4)=59 Succeeded, w=237\",\"Add (4,7)=59 Failed, w=237\",\"Add (4,5)=61 Failed, w=237\",\"Add (1,3)=71 Failed, w=237\",\"Add (0,4)=78 Failed, w=237\",\"Add (0,3)=84 Failed, w=237\",\"Add (5,6)=91 Failed, w=237\",\"Add (1,7)=92 Failed, w=237\",\"Add (1,5)=98 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,84],[0,4,78],[0,6,9],[0,7,53],[1,3,71],[1,4,59],[1,5,98],[1,7,92],[2,5,58],[2,6,43],[2,7,25],[3,5,21],[4,5,61],[4,6,47],[4,7,59],[5,6,91],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(0,2)=18,(3,5)=21,(2,7)=25,(6,7)=26,(2,6)=43,(4,6)=47,(0,7)=53,(2,5)=58,(1,4)=59,(4,7)=59,(4,5)=61,(1,3)=71,(0,4)=78,(0,3)=84,(5,6)=91,(1,7)=92,(1,5)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=27\",\"Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=48\",\"Find(2)=0, Find(7)=7, Add (2,7)=25 Succeeded, w=73\",\"Find(6)=0, Find(7)=0, Add (6,7)=26 Failed, w=73\",\"Find(2)=0, Find(6)=0, Add (2,6)=43 Failed, w=73\",\"Find(4)=4, Find(6)=0, Add (4,6)=47 Succeeded, w=120\",\"Find(0)=0, Find(7)=0, Add (0,7)=53 Failed, w=120\",\"Find(2)=0, Find(5)=3, Add (2,5)=58 Succeeded, w=178\",\"Find(1)=1, Find(4)=0, Add (1,4)=59 Succeeded, w=237\",\"Find(4)=0, Find(7)=0, Add (4,7)=59 Failed, w=237\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=237\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=237\",\"Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=237\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=237\",\"Find(5)=0, Find(6)=0, Add (5,6)=91 Failed, w=237\",\"Find(1)=0, Find(7)=0, Add (1,7)=92 Failed, w=237\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,84],[0,4,78],[0,6,9],[0,7,53],[1,3,71],[1,4,59],[1,5,98],[1,7,92],[2,5,58],[2,6,43],[2,7,25],[3,5,21],[4,5,61],[4,6,47],[4,7,59],[5,6,91],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(0,2)=18,(3,5)=21,(2,7)=25,(6,7)=26,(2,6)=43,(4,6)=47,(0,7)=53,(2,5)=58,(1,4)=59,(4,7)=59,(4,5)=61,(1,3)=71,(0,4)=78,(0,3)=84,(5,6)=91,(1,7)=92,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 0, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 0, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=25 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=26 Failed, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=43 Failed, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=47 Succeeded, w=120\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=53 Failed, w=120\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(2)=0, Find(5)=3, Add (2,5)=58 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(1)=1, Find(4)=0, Add (1,4)=59 Succeeded, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=59 Failed, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=237\",\"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)=78 Failed, w=237\",\"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)=84 Failed, w=237\",\"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)=91 Failed, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=92 Failed, w=237\",\"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)=98 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,54],[0,2,13],[0,3,74],[1,2,73],[1,3,48],[2,3,80]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,13],[0,3,74],[1,2,73],[1,3,48],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,13],[0,3,74],[1,2,73],[1,3,48],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,13],[0,3,74],[1,2,73],[1,3,48],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (1,3)=48, w=61\",\"Add (0,1)=54, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,13],[0,3,74],[1,2,73],[1,3,48],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (1,3)=48 Succeeded, w=61\",\"Add (0,1)=54 Succeeded, w=115\",\"Add (1,2)=73 Failed, w=115\",\"Add (0,3)=74 Failed, w=115\",\"Add (2,3)=80 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,13],[0,3,74],[1,2,73],[1,3,48],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=48,(0,1)=54,(1,2)=73,(0,3)=74,(2,3)=80]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=48 Succeeded, w=61\",\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=115\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,13],[0,3,74],[1,2,73],[1,3,48],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=48,(0,1)=54,(1,2)=73,(0,3)=74,(2,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=48 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,3],[0,3,50],[0,4,89],[1,2,91],[1,3,42],[1,4,74],[2,4,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,50],[0,4,89],[1,2,91],[1,3,42],[1,4,74],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,50],[0,4,89],[1,2,91],[1,3,42],[1,4,74],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,50],[0,4,89],[1,2,91],[1,3,42],[1,4,74],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (2,4)=31, w=34\",\"Add (1,3)=42, w=76\",\"Add (1,4)=74, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,50],[0,4,89],[1,2,91],[1,3,42],[1,4,74],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (2,4)=31 Succeeded, w=34\",\"Add (1,3)=42 Succeeded, w=76\",\"Add (0,3)=50 Failed, w=76\",\"Add (1,4)=74 Succeeded, w=150\",\"Add (0,4)=89 Failed, w=150\",\"Add (1,2)=91 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,50],[0,4,89],[1,2,91],[1,3,42],[1,4,74],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,4)=31,(1,3)=42,(0,3)=50,(1,4)=74,(0,4)=89,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=34\",\"Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=76\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=76\",\"Find(1)=0, Find(4)=2, Add (1,4)=74 Succeeded, w=150\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=150\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,50],[0,4,89],[1,2,91],[1,3,42],[1,4,74],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,4)=31,(1,3)=42,(0,3)=50,(1,4)=74,(0,4)=89,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=74 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,92],[0,2,66],[0,3,64],[1,3,90],[2,3,1]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,66],[0,3,64],[1,3,90],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,66],[0,3,64],[1,3,90],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,66],[0,3,64],[1,3,90],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,3)=64, w=65\",\"Add (1,3)=90, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,66],[0,3,64],[1,3,90],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,3)=64 Succeeded, w=65\",\"Add (0,2)=66 Failed, w=65\",\"Add (1,3)=90 Succeeded, w=155\",\"Add (0,1)=92 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,66],[0,3,64],[1,3,90],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=64,(0,2)=66,(1,3)=90,(0,1)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=2, Add (0,3)=64 Succeeded, w=65\",\"Find(0)=2, Find(2)=2, Add (0,2)=66 Failed, w=65\",\"Find(1)=1, Find(3)=2, Add (1,3)=90 Succeeded, w=155\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,66],[0,3,64],[1,3,90],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=64,(0,2)=66,(1,3)=90,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=64 Succeeded, w=65\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=66 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=90 Succeeded, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,52],[0,2,74],[0,4,44],[0,5,61],[1,2,5],[1,4,16],[2,3,22],[2,4,94],[3,4,36],[3,5,90],[4,5,66]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,74],[0,4,44],[0,5,61],[1,2,5],[1,4,16],[2,3,22],[2,4,94],[3,4,36],[3,5,90],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,74],[0,4,44],[0,5,61],[1,2,5],[1,4,16],[2,3,22],[2,4,94],[3,4,36],[3,5,90],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,74],[0,4,44],[0,5,61],[1,2,5],[1,4,16],[2,3,22],[2,4,94],[3,4,36],[3,5,90],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (1,4)=16, w=21\",\"Add (2,3)=22, w=43\",\"Add (0,4)=44, w=87\",\"Add (0,5)=61, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,74],[0,4,44],[0,5,61],[1,2,5],[1,4,16],[2,3,22],[2,4,94],[3,4,36],[3,5,90],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (1,4)=16 Succeeded, w=21\",\"Add (2,3)=22 Succeeded, w=43\",\"Add (3,4)=36 Failed, w=43\",\"Add (0,4)=44 Succeeded, w=87\",\"Add (0,1)=52 Failed, w=87\",\"Add (0,5)=61 Succeeded, w=148\",\"Add (4,5)=66 Failed, w=148\",\"Add (0,2)=74 Failed, w=148\",\"Add (3,5)=90 Failed, w=148\",\"Add (2,4)=94 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,74],[0,4,44],[0,5,61],[1,2,5],[1,4,16],[2,3,22],[2,4,94],[3,4,36],[3,5,90],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(1,4)=16,(2,3)=22,(3,4)=36,(0,4)=44,(0,1)=52,(0,5)=61,(4,5)=66,(0,2)=74,(3,5)=90,(2,4)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=21\",\"Find(2)=1, Find(3)=3, Add (2,3)=22 Succeeded, w=43\",\"Find(3)=1, Find(4)=1, Add (3,4)=36 Failed, w=43\",\"Find(0)=0, Find(4)=1, Add (0,4)=44 Succeeded, w=87\",\"Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=87\",\"Find(0)=1, Find(5)=5, Add (0,5)=61 Succeeded, w=148\",\"Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=148\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=148\",\"Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=148\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,74],[0,4,44],[0,5,61],[1,2,5],[1,4,16],[2,3,22],[2,4,94],[3,4,36],[3,5,90],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(1,4)=16,(2,3)=22,(3,4)=36,(0,4)=44,(0,1)=52,(0,5)=61,(4,5)=66,(0,2)=74,(3,5)=90,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=3, Add (2,3)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=1, Add (3,4)=36 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=44 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=61 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,87],[0,3,10],[0,4,18],[1,2,10],[1,3,91],[1,4,75],[1,5,38],[2,3,51],[2,5,81],[3,4,54],[3,5,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,10],[0,4,18],[1,2,10],[1,3,91],[1,4,75],[1,5,38],[2,3,51],[2,5,81],[3,4,54],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,10],[0,4,18],[1,2,10],[1,3,91],[1,4,75],[1,5,38],[2,3,51],[2,5,81],[3,4,54],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,5)\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,10],[0,4,18],[1,2,10],[1,3,91],[1,4,75],[1,5,38],[2,3,51],[2,5,81],[3,4,54],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,2)=10, w=20\",\"Add (0,4)=18, w=38\",\"Add (3,5)=25, w=63\",\"Add (1,5)=38, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,10],[0,4,18],[1,2,10],[1,3,91],[1,4,75],[1,5,38],[2,3,51],[2,5,81],[3,4,54],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,2)=10 Succeeded, w=20\",\"Add (0,4)=18 Succeeded, w=38\",\"Add (3,5)=25 Succeeded, w=63\",\"Add (1,5)=38 Succeeded, w=101\",\"Add (2,3)=51 Failed, w=101\",\"Add (3,4)=54 Failed, w=101\",\"Add (1,4)=75 Failed, w=101\",\"Add (2,5)=81 Failed, w=101\",\"Add (0,2)=87 Failed, w=101\",\"Add (1,3)=91 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,10],[0,4,18],[1,2,10],[1,3,91],[1,4,75],[1,5,38],[2,3,51],[2,5,81],[3,4,54],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,2)=10,(0,4)=18,(3,5)=25,(1,5)=38,(2,3)=51,(3,4)=54,(1,4)=75,(2,5)=81,(0,2)=87,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=20\",\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=38\",\"Find(3)=0, Find(5)=5, Add (3,5)=25 Succeeded, w=63\",\"Find(1)=1, Find(5)=0, Add (1,5)=38 Succeeded, w=101\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=101\",\"Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=101\",\"Find(1)=1, Find(4)=1, Add (1,4)=75 Failed, w=101\",\"Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=101\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=101\",\"Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,10],[0,4,18],[1,2,10],[1,3,91],[1,4,75],[1,5,38],[2,3,51],[2,5,81],[3,4,54],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,2)=10,(0,4)=18,(3,5)=25,(1,5)=38,(2,3)=51,(3,4)=54,(1,4)=75,(2,5)=81,(0,2)=87,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=25 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=38 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(4)=1, Add (1,4)=75 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,35],[0,2,20],[0,3,74],[0,4,87],[0,5,86],[0,6,79],[1,2,74],[1,3,13],[1,4,53],[1,5,65],[2,3,69],[2,4,67],[2,5,64],[2,6,5],[3,4,39],[3,5,57],[3,6,1],[4,5,45],[4,6,38],[5,6,97]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,20],[0,3,74],[0,4,87],[0,5,86],[0,6,79],[1,2,74],[1,3,13],[1,4,53],[1,5,65],[2,3,69],[2,4,67],[2,5,64],[2,6,5],[3,4,39],[3,5,57],[3,6,1],[4,5,45],[4,6,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,20],[0,3,74],[0,4,87],[0,5,86],[0,6,79],[1,2,74],[1,3,13],[1,4,53],[1,5,65],[2,3,69],[2,4,67],[2,5,64],[2,6,5],[3,4,39],[3,5,57],[3,6,1],[4,5,45],[4,6,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (4,5)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,20],[0,3,74],[0,4,87],[0,5,86],[0,6,79],[1,2,74],[1,3,13],[1,4,53],[1,5,65],[2,3,69],[2,4,67],[2,5,64],[2,6,5],[3,4,39],[3,5,57],[3,6,1],[4,5,45],[4,6,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (2,6)=5, w=6\",\"Add (1,3)=13, w=19\",\"Add (0,2)=20, w=39\",\"Add (4,6)=38, w=77\",\"Add (4,5)=45, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,20],[0,3,74],[0,4,87],[0,5,86],[0,6,79],[1,2,74],[1,3,13],[1,4,53],[1,5,65],[2,3,69],[2,4,67],[2,5,64],[2,6,5],[3,4,39],[3,5,57],[3,6,1],[4,5,45],[4,6,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (2,6)=5 Succeeded, w=6\",\"Add (1,3)=13 Succeeded, w=19\",\"Add (0,2)=20 Succeeded, w=39\",\"Add (0,1)=35 Failed, w=39\",\"Add (4,6)=38 Succeeded, w=77\",\"Add (3,4)=39 Failed, w=77\",\"Add (4,5)=45 Succeeded, w=122\",\"Add (1,4)=53 Failed, w=122\",\"Add (3,5)=57 Failed, w=122\",\"Add (2,5)=64 Failed, w=122\",\"Add (1,5)=65 Failed, w=122\",\"Add (2,4)=67 Failed, w=122\",\"Add (2,3)=69 Failed, w=122\",\"Add (0,3)=74 Failed, w=122\",\"Add (1,2)=74 Failed, w=122\",\"Add (0,6)=79 Failed, w=122\",\"Add (0,5)=86 Failed, w=122\",\"Add (0,4)=87 Failed, w=122\",\"Add (5,6)=97 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,20],[0,3,74],[0,4,87],[0,5,86],[0,6,79],[1,2,74],[1,3,13],[1,4,53],[1,5,65],[2,3,69],[2,4,67],[2,5,64],[2,6,5],[3,4,39],[3,5,57],[3,6,1],[4,5,45],[4,6,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(2,6)=5,(1,3)=13,(0,2)=20,(0,1)=35,(4,6)=38,(3,4)=39,(4,5)=45,(1,4)=53,(3,5)=57,(2,5)=64,(1,5)=65,(2,4)=67,(2,3)=69,(0,3)=74,(1,2)=74,(0,6)=79,(0,5)=86,(0,4)=87,(5,6)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(6)=3, Add (2,6)=5 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=19\",\"Find(0)=0, Find(2)=3, Add (0,2)=20 Succeeded, w=39\",\"Find(0)=3, Find(1)=3, Add (0,1)=35 Failed, w=39\",\"Find(4)=4, Find(6)=3, Add (4,6)=38 Succeeded, w=77\",\"Find(3)=3, Find(4)=3, Add (3,4)=39 Failed, w=77\",\"Find(4)=3, Find(5)=5, Add (4,5)=45 Succeeded, w=122\",\"Find(1)=3, Find(4)=3, Add (1,4)=53 Failed, w=122\",\"Find(3)=3, Find(5)=3, Add (3,5)=57 Failed, w=122\",\"Find(2)=3, Find(5)=3, Add (2,5)=64 Failed, w=122\",\"Find(1)=3, Find(5)=3, Add (1,5)=65 Failed, w=122\",\"Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=122\",\"Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=122\",\"Find(0)=3, Find(3)=3, Add (0,3)=74 Failed, w=122\",\"Find(1)=3, Find(2)=3, Add (1,2)=74 Failed, w=122\",\"Find(0)=3, Find(6)=3, Add (0,6)=79 Failed, w=122\",\"Find(0)=3, Find(5)=3, Add (0,5)=86 Failed, w=122\",\"Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=122\",\"Find(5)=3, Find(6)=3, Add (5,6)=97 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,20],[0,3,74],[0,4,87],[0,5,86],[0,6,79],[1,2,74],[1,3,13],[1,4,53],[1,5,65],[2,3,69],[2,4,67],[2,5,64],[2,6,5],[3,4,39],[3,5,57],[3,6,1],[4,5,45],[4,6,38],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(2,6)=5,(1,3)=13,(0,2)=20,(0,1)=35,(4,6)=38,(3,4)=39,(4,5)=45,(1,4)=53,(3,5)=57,(2,5)=64,(1,5)=65,(2,4)=67,(2,3)=69,(0,3)=74,(1,2)=74,(0,6)=79,(0,5)=86,(0,4)=87,(5,6)=97]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=19\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(2)=3, Add (0,2)=20 Succeeded, w=39\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=35 Failed, w=39\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=38 Succeeded, w=77\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=39 Failed, w=77\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=5, Add (4,5)=45 Succeeded, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=53 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=57 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=64 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=65 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=74 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=74 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=79 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=86 Failed, w=122\",\"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=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=97 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,15],[0,2,96],[0,4,55],[0,5,0],[1,2,13],[1,3,83],[1,4,42],[1,5,29],[2,3,47],[2,4,29],[2,5,48],[3,4,96],[3,5,77],[4,5,17]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,96],[0,4,55],[0,5,0],[1,2,13],[1,3,83],[1,4,42],[1,5,29],[2,3,47],[2,4,29],[2,5,48],[3,4,96],[3,5,77],[4,5,17]]}",
"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],\"edges\":[[0,1,15],[0,2,96],[0,4,55],[0,5,0],[1,2,13],[1,3,83],[1,4,42],[1,5,29],[2,3,47],[2,4,29],[2,5,48],[3,4,96],[3,5,77],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,96],[0,4,55],[0,5,0],[1,2,13],[1,3,83],[1,4,42],[1,5,29],[2,3,47],[2,4,29],[2,5,48],[3,4,96],[3,5,77],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (1,2)=13, w=13\",\"Add (0,1)=15, w=28\",\"Add (4,5)=17, w=45\",\"Add (2,3)=47, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,96],[0,4,55],[0,5,0],[1,2,13],[1,3,83],[1,4,42],[1,5,29],[2,3,47],[2,4,29],[2,5,48],[3,4,96],[3,5,77],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (1,2)=13 Succeeded, w=13\",\"Add (0,1)=15 Succeeded, w=28\",\"Add (4,5)=17 Succeeded, w=45\",\"Add (1,5)=29 Failed, w=45\",\"Add (2,4)=29 Failed, w=45\",\"Add (1,4)=42 Failed, w=45\",\"Add (2,3)=47 Succeeded, w=92\",\"Add (2,5)=48 Failed, w=92\",\"Add (0,4)=55 Failed, w=92\",\"Add (3,5)=77 Failed, w=92\",\"Add (1,3)=83 Failed, w=92\",\"Add (0,2)=96 Failed, w=92\",\"Add (3,4)=96 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],\"edges\":[[0,1,15],[0,2,96],[0,4,55],[0,5,0],[1,2,13],[1,3,83],[1,4,42],[1,5,29],[2,3,47],[2,4,29],[2,5,48],[3,4,96],[3,5,77],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,2)=13,(0,1)=15,(4,5)=17,(1,5)=29,(2,4)=29,(1,4)=42,(2,3)=47,(2,5)=48,(0,4)=55,(3,5)=77,(1,3)=83,(0,2)=96,(3,4)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=28\",\"Find(4)=4, Find(5)=0, Add (4,5)=17 Succeeded, w=45\",\"Find(1)=0, Find(5)=0, Add (1,5)=29 Failed, w=45\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=45\",\"Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=45\",\"Find(2)=0, Find(3)=3, Add (2,3)=47 Succeeded, w=92\",\"Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=92\",\"Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=92\",\"Find(3)=0, Find(5)=0, Add (3,5)=77 Failed, w=92\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=92\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=92\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 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],\"edges\":[[0,1,15],[0,2,96],[0,4,55],[0,5,0],[1,2,13],[1,3,83],[1,4,42],[1,5,29],[2,3,47],[2,4,29],[2,5,48],[3,4,96],[3,5,77],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,2)=13,(0,1)=15,(4,5)=17,(1,5)=29,(2,4)=29,(1,4)=42,(2,3)=47,(2,5)=48,(0,4)=55,(3,5)=77,(1,3)=83,(0,2)=96,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=17 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=29 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=47 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=77 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,15],[0,3,78],[0,4,86],[0,6,96],[1,2,15],[1,3,33],[1,4,86],[1,5,70],[1,6,99],[2,3,55],[2,4,20],[2,5,33],[3,4,2],[3,5,94],[4,5,96],[5,6,90]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,78],[0,4,86],[0,6,96],[1,2,15],[1,3,33],[1,4,86],[1,5,70],[1,6,99],[2,3,55],[2,4,20],[2,5,33],[3,4,2],[3,5,94],[4,5,96],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,78],[0,4,86],[0,6,96],[1,2,15],[1,3,33],[1,4,86],[1,5,70],[1,6,99],[2,3,55],[2,4,20],[2,5,33],[3,4,2],[3,5,94],[4,5,96],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (5,6)\"],\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,78],[0,4,86],[0,6,96],[1,2,15],[1,3,33],[1,4,86],[1,5,70],[1,6,99],[2,3,55],[2,4,20],[2,5,33],[3,4,2],[3,5,94],[4,5,96],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (0,2)=15, w=17\",\"Add (1,2)=15, w=32\",\"Add (2,4)=20, w=52\",\"Add (2,5)=33, w=85\",\"Add (5,6)=90, w=175\"],\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,78],[0,4,86],[0,6,96],[1,2,15],[1,3,33],[1,4,86],[1,5,70],[1,6,99],[2,3,55],[2,4,20],[2,5,33],[3,4,2],[3,5,94],[4,5,96],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,2)=15 Succeeded, w=17\",\"Add (1,2)=15 Succeeded, w=32\",\"Add (2,4)=20 Succeeded, w=52\",\"Add (1,3)=33 Failed, w=52\",\"Add (2,5)=33 Succeeded, w=85\",\"Add (2,3)=55 Failed, w=85\",\"Add (1,5)=70 Failed, w=85\",\"Add (0,3)=78 Failed, w=85\",\"Add (0,4)=86 Failed, w=85\",\"Add (1,4)=86 Failed, w=85\",\"Add (5,6)=90 Succeeded, w=175\",\"Add (3,5)=94 Failed, w=175\",\"Add (0,6)=96 Failed, w=175\",\"Add (4,5)=96 Failed, w=175\",\"Add (1,6)=99 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,78],[0,4,86],[0,6,96],[1,2,15],[1,3,33],[1,4,86],[1,5,70],[1,6,99],[2,3,55],[2,4,20],[2,5,33],[3,4,2],[3,5,94],[4,5,96],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,2)=15,(1,2)=15,(2,4)=20,(1,3)=33,(2,5)=33,(2,3)=55,(1,5)=70,(0,3)=78,(0,4)=86,(1,4)=86,(5,6)=90,(3,5)=94,(0,6)=96,(4,5)=96,(1,6)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=17\",\"Find(1)=1, Find(2)=0, Add (1,2)=15 Succeeded, w=32\",\"Find(2)=0, Find(4)=3, Add (2,4)=20 Succeeded, w=52\",\"Find(1)=0, Find(3)=0, Add (1,3)=33 Failed, w=52\",\"Find(2)=0, Find(5)=5, Add (2,5)=33 Succeeded, w=85\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=85\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=85\",\"Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=85\",\"Find(5)=0, Find(6)=6, Add (5,6)=90 Succeeded, w=175\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=175\",\"Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=175\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=175\",\"Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,78],[0,4,86],[0,6,96],[1,2,15],[1,3,33],[1,4,86],[1,5,70],[1,6,99],[2,3,55],[2,4,20],[2,5,33],[3,4,2],[3,5,94],[4,5,96],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,2)=15,(1,2)=15,(2,4)=20,(1,3)=33,(2,5)=33,(2,3)=55,(1,5)=70,(0,3)=78,(0,4)=86,(1,4)=86,(5,6)=90,(3,5)=94,(0,6)=96,(4,5)=96,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 5, 6: 6}, Find(2)=0, Find(4)=3, Add (2,4)=20 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 5, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=33 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(2)=0, Find(5)=5, Add (2,5)=33 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=90 Succeeded, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=175\",\"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=175\"],\"Answer\":175}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=64, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=64 Succeeded, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=64]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=64]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,96],[0,3,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=32, w=32\",\"Add (0,1)=96, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=32 Succeeded, w=32\",\"Add (0,1)=96 Succeeded, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=32,(0,1)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=96 Succeeded, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=32,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=96 Succeeded, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,2,77],[1,3,16],[1,4,97],[2,3,40],[2,4,10],[3,4,43]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,77],[1,3,16],[1,4,97],[2,3,40],[2,4,10],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,77],[1,3,16],[1,4,97],[2,3,40],[2,4,10],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,77],[1,3,16],[1,4,97],[2,3,40],[2,4,10],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (1,3)=16, w=26\",\"Add (2,3)=40, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,77],[1,3,16],[1,4,97],[2,3,40],[2,4,10],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (1,3)=16 Succeeded, w=26\",\"Add (2,3)=40 Succeeded, w=66\",\"Add (3,4)=43 Failed, w=66\",\"Add (1,2)=77 Failed, w=66\",\"Add (1,4)=97 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,77],[1,3,16],[1,4,97],[2,3,40],[2,4,10],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(1,3)=16,(2,3)=40,(3,4)=43,(1,2)=77,(1,4)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=26\",\"Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=66\",\"Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=66\",\"Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=66\",\"Find(1)=2, Find(4)=2, Add (1,4)=97 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,77],[1,3,16],[1,4,97],[2,3,40],[2,4,10],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(1,3)=16,(2,3)=40,(3,4)=43,(1,2)=77,(1,4)=97]\",\"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: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=66\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=66\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=66\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=97 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,5],[0,2,17],[0,3,62],[0,6,89],[0,7,40],[1,2,64],[1,3,60],[1,4,17],[1,5,6],[1,6,19],[1,7,93],[2,4,49],[2,5,25],[2,6,76],[2,7,24],[3,4,88],[3,5,25],[3,6,31],[3,7,65],[4,5,22],[4,6,41],[4,7,41],[5,6,65],[5,7,69],[6,7,43]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,17],[0,3,62],[0,6,89],[0,7,40],[1,2,64],[1,3,60],[1,4,17],[1,5,6],[1,6,19],[1,7,93],[2,4,49],[2,5,25],[2,6,76],[2,7,24],[3,4,88],[3,5,25],[3,6,31],[3,7,65],[4,5,22],[4,6,41],[4,7,41],[5,6,65],[5,7,69],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,17],[0,3,62],[0,6,89],[0,7,40],[1,2,64],[1,3,60],[1,4,17],[1,5,6],[1,6,19],[1,7,93],[2,4,49],[2,5,25],[2,6,76],[2,7,24],[3,4,88],[3,5,25],[3,6,31],[3,7,65],[4,5,22],[4,6,41],[4,7,41],[5,6,65],[5,7,69],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (3,5)\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,17],[0,3,62],[0,6,89],[0,7,40],[1,2,64],[1,3,60],[1,4,17],[1,5,6],[1,6,19],[1,7,93],[2,4,49],[2,5,25],[2,6,76],[2,7,24],[3,4,88],[3,5,25],[3,6,31],[3,7,65],[4,5,22],[4,6,41],[4,7,41],[5,6,65],[5,7,69],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,5)=6, w=11\",\"Add (0,2)=17, w=28\",\"Add (1,4)=17, w=45\",\"Add (1,6)=19, w=64\",\"Add (2,7)=24, w=88\",\"Add (3,5)=25, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,17],[0,3,62],[0,6,89],[0,7,40],[1,2,64],[1,3,60],[1,4,17],[1,5,6],[1,6,19],[1,7,93],[2,4,49],[2,5,25],[2,6,76],[2,7,24],[3,4,88],[3,5,25],[3,6,31],[3,7,65],[4,5,22],[4,6,41],[4,7,41],[5,6,65],[5,7,69],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,5)=6 Succeeded, w=11\",\"Add (0,2)=17 Succeeded, w=28\",\"Add (1,4)=17 Succeeded, w=45\",\"Add (1,6)=19 Succeeded, w=64\",\"Add (4,5)=22 Failed, w=64\",\"Add (2,7)=24 Succeeded, w=88\",\"Add (2,5)=25 Failed, w=88\",\"Add (3,5)=25 Succeeded, w=113\",\"Add (3,6)=31 Failed, w=113\",\"Add (0,7)=40 Failed, w=113\",\"Add (4,6)=41 Failed, w=113\",\"Add (4,7)=41 Failed, w=113\",\"Add (6,7)=43 Failed, w=113\",\"Add (2,4)=49 Failed, w=113\",\"Add (1,3)=60 Failed, w=113\",\"Add (0,3)=62 Failed, w=113\",\"Add (1,2)=64 Failed, w=113\",\"Add (3,7)=65 Failed, w=113\",\"Add (5,6)=65 Failed, w=113\",\"Add (5,7)=69 Failed, w=113\",\"Add (2,6)=76 Failed, w=113\",\"Add (3,4)=88 Failed, w=113\",\"Add (0,6)=89 Failed, w=113\",\"Add (1,7)=93 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,17],[0,3,62],[0,6,89],[0,7,40],[1,2,64],[1,3,60],[1,4,17],[1,5,6],[1,6,19],[1,7,93],[2,4,49],[2,5,25],[2,6,76],[2,7,24],[3,4,88],[3,5,25],[3,6,31],[3,7,65],[4,5,22],[4,6,41],[4,7,41],[5,6,65],[5,7,69],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,5)=6,(0,2)=17,(1,4)=17,(1,6)=19,(4,5)=22,(2,7)=24,(2,5)=25,(3,5)=25,(3,6)=31,(0,7)=40,(4,6)=41,(4,7)=41,(6,7)=43,(2,4)=49,(1,3)=60,(0,3)=62,(1,2)=64,(3,7)=65,(5,6)=65,(5,7)=69,(2,6)=76,(3,4)=88,(0,6)=89,(1,7)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(5)=5, Add (1,5)=6 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=28\",\"Find(1)=0, Find(4)=4, Add (1,4)=17 Succeeded, w=45\",\"Find(1)=0, Find(6)=6, Add (1,6)=19 Succeeded, w=64\",\"Find(4)=0, Find(5)=0, Add (4,5)=22 Failed, w=64\",\"Find(2)=0, Find(7)=7, Add (2,7)=24 Succeeded, w=88\",\"Find(2)=0, Find(5)=0, Add (2,5)=25 Failed, w=88\",\"Find(3)=3, Find(5)=0, Add (3,5)=25 Succeeded, w=113\",\"Find(3)=0, Find(6)=0, Add (3,6)=31 Failed, w=113\",\"Find(0)=0, Find(7)=0, Add (0,7)=40 Failed, w=113\",\"Find(4)=0, Find(6)=0, Add (4,6)=41 Failed, w=113\",\"Find(4)=0, Find(7)=0, Add (4,7)=41 Failed, w=113\",\"Find(6)=0, Find(7)=0, Add (6,7)=43 Failed, w=113\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=113\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=113\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=113\",\"Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=113\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=113\",\"Find(5)=0, Find(7)=0, Add (5,7)=69 Failed, w=113\",\"Find(2)=0, Find(6)=0, Add (2,6)=76 Failed, w=113\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=113\",\"Find(0)=0, Find(6)=0, Add (0,6)=89 Failed, w=113\",\"Find(1)=0, Find(7)=0, Add (1,7)=93 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,17],[0,3,62],[0,6,89],[0,7,40],[1,2,64],[1,3,60],[1,4,17],[1,5,6],[1,6,19],[1,7,93],[2,4,49],[2,5,25],[2,6,76],[2,7,24],[3,4,88],[3,5,25],[3,6,31],[3,7,65],[4,5,22],[4,6,41],[4,7,41],[5,6,65],[5,7,69],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,5)=6,(0,2)=17,(1,4)=17,(1,6)=19,(4,5)=22,(2,7)=24,(2,5)=25,(3,5)=25,(3,6)=31,(0,7)=40,(4,6)=41,(4,7)=41,(6,7)=43,(2,4)=49,(1,3)=60,(0,3)=62,(1,2)=64,(3,7)=65,(5,6)=65,(5,7)=69,(2,6)=76,(3,4)=88,(0,6)=89,(1,7)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(4)=4, Add (1,4)=17 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(6)=6, Add (1,6)=19 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=22 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=24 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=25 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(5)=0, Add (3,5)=25 Succeeded, w=113\",\"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)=31 Failed, w=113\",\"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)=40 Failed, w=113\",\"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)=41 Failed, w=113\",\"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)=41 Failed, w=113\",\"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)=43 Failed, w=113\",\"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)=49 Failed, w=113\",\"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)=60 Failed, w=113\",\"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)=62 Failed, w=113\",\"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)=64 Failed, w=113\",\"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=113\",\"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)=65 Failed, w=113\",\"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)=69 Failed, w=113\",\"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)=76 Failed, w=113\",\"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)=88 Failed, w=113\",\"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)=89 Failed, w=113\",\"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)=93 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,75],[0,3,34],[0,4,59],[1,2,20],[1,3,0],[2,4,63],[3,4,37]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,75],[0,3,34],[0,4,59],[1,2,20],[1,3,0],[2,4,63],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,75],[0,3,34],[0,4,59],[1,2,20],[1,3,0],[2,4,63],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,75],[0,3,34],[0,4,59],[1,2,20],[1,3,0],[2,4,63],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,2)=20, w=20\",\"Add (0,3)=34, w=54\",\"Add (3,4)=37, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,75],[0,3,34],[0,4,59],[1,2,20],[1,3,0],[2,4,63],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,2)=20 Succeeded, w=20\",\"Add (0,3)=34 Succeeded, w=54\",\"Add (3,4)=37 Succeeded, w=91\",\"Add (0,4)=59 Failed, w=91\",\"Add (2,4)=63 Failed, w=91\",\"Add (0,2)=75 Failed, w=91\",\"Add (0,1)=89 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,75],[0,3,34],[0,4,59],[1,2,20],[1,3,0],[2,4,63],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=20,(0,3)=34,(3,4)=37,(0,4)=59,(2,4)=63,(0,2)=75,(0,1)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=20\",\"Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=54\",\"Find(3)=1, Find(4)=4, Add (3,4)=37 Succeeded, w=91\",\"Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=91\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=91\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=91\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,75],[0,3,34],[0,4,59],[1,2,20],[1,3,0],[2,4,63],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=20,(0,3)=34,(3,4)=37,(0,4)=59,(2,4)=63,(0,2)=75,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=37 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,3,14],[0,5,12],[0,6,20],[0,7,20],[1,3,23],[1,4,1],[1,5,10],[1,6,85],[1,7,24],[2,3,15],[2,6,29],[3,4,85],[3,5,60],[3,7,11],[4,5,74],[4,6,3],[4,7,68],[5,7,8]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,3,14],[0,5,12],[0,6,20],[0,7,20],[1,3,23],[1,4,1],[1,5,10],[1,6,85],[1,7,24],[2,3,15],[2,6,29],[3,4,85],[3,5,60],[3,7,11],[4,5,74],[4,6,3],[4,7,68],[5,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,3,14],[0,5,12],[0,6,20],[0,7,20],[1,3,23],[1,4,1],[1,5,10],[1,6,85],[1,7,24],[2,3,15],[2,6,29],[3,4,85],[3,5,60],[3,7,11],[4,5,74],[4,6,3],[4,7,68],[5,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,6)\",\"Add (5,7)\",\"Add (1,5)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":60}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,3,14],[0,5,12],[0,6,20],[0,7,20],[1,3,23],[1,4,1],[1,5,10],[1,6,85],[1,7,24],[2,3,15],[2,6,29],[3,4,85],[3,5,60],[3,7,11],[4,5,74],[4,6,3],[4,7,68],[5,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (4,6)=3, w=4\",\"Add (5,7)=8, w=12\",\"Add (1,5)=10, w=22\",\"Add (3,7)=11, w=33\",\"Add (0,5)=12, w=45\",\"Add (2,3)=15, w=60\"],\"Answer\":60}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,3,14],[0,5,12],[0,6,20],[0,7,20],[1,3,23],[1,4,1],[1,5,10],[1,6,85],[1,7,24],[2,3,15],[2,6,29],[3,4,85],[3,5,60],[3,7,11],[4,5,74],[4,6,3],[4,7,68],[5,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (4,6)=3 Succeeded, w=4\",\"Add (5,7)=8 Succeeded, w=12\",\"Add (1,5)=10 Succeeded, w=22\",\"Add (3,7)=11 Succeeded, w=33\",\"Add (0,5)=12 Succeeded, w=45\",\"Add (0,3)=14 Failed, w=45\",\"Add (2,3)=15 Succeeded, w=60\",\"Add (0,6)=20 Failed, w=60\",\"Add (0,7)=20 Failed, w=60\",\"Add (1,3)=23 Failed, w=60\",\"Add (1,7)=24 Failed, w=60\",\"Add (2,6)=29 Failed, w=60\",\"Add (0,1)=51 Failed, w=60\",\"Add (3,5)=60 Failed, w=60\",\"Add (4,7)=68 Failed, w=60\",\"Add (4,5)=74 Failed, w=60\",\"Add (1,6)=85 Failed, w=60\",\"Add (3,4)=85 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,3,14],[0,5,12],[0,6,20],[0,7,20],[1,3,23],[1,4,1],[1,5,10],[1,6,85],[1,7,24],[2,3,15],[2,6,29],[3,4,85],[3,5,60],[3,7,11],[4,5,74],[4,6,3],[4,7,68],[5,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(4,6)=3,(5,7)=8,(1,5)=10,(3,7)=11,(0,5)=12,(0,3)=14,(2,3)=15,(0,6)=20,(0,7)=20,(1,3)=23,(1,7)=24,(2,6)=29,(0,1)=51,(3,5)=60,(4,7)=68,(4,5)=74,(1,6)=85,(3,4)=85]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(4)=1, Find(6)=6, Add (4,6)=3 Succeeded, w=4\",\"Find(5)=5, Find(7)=7, Add (5,7)=8 Succeeded, w=12\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=22\",\"Find(3)=3, Find(7)=1, Add (3,7)=11 Succeeded, w=33\",\"Find(0)=0, Find(5)=1, Add (0,5)=12 Succeeded, w=45\",\"Find(0)=1, Find(3)=1, Add (0,3)=14 Failed, w=45\",\"Find(2)=2, Find(3)=1, Add (2,3)=15 Succeeded, w=60\",\"Find(0)=1, Find(6)=1, Add (0,6)=20 Failed, w=60\",\"Find(0)=1, Find(7)=1, Add (0,7)=20 Failed, w=60\",\"Find(1)=1, Find(3)=1, Add (1,3)=23 Failed, w=60\",\"Find(1)=1, Find(7)=1, Add (1,7)=24 Failed, w=60\",\"Find(2)=1, Find(6)=1, Add (2,6)=29 Failed, w=60\",\"Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=60\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=60\",\"Find(4)=1, Find(7)=1, Add (4,7)=68 Failed, w=60\",\"Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=60\",\"Find(1)=1, Find(6)=1, Add (1,6)=85 Failed, w=60\",\"Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,3,14],[0,5,12],[0,6,20],[0,7,20],[1,3,23],[1,4,1],[1,5,10],[1,6,85],[1,7,24],[2,3,15],[2,6,29],[3,4,85],[3,5,60],[3,7,11],[4,5,74],[4,6,3],[4,7,68],[5,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(4,6)=3,(5,7)=8,(1,5)=10,(3,7)=11,(0,5)=12,(0,3)=14,(2,3)=15,(0,6)=20,(0,7)=20,(1,3)=23,(1,7)=24,(2,6)=29,(0,1)=51,(3,5)=60,(4,7)=68,(4,5)=74,(1,6)=85,(3,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=1, Find(6)=6, Add (4,6)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=11 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=12 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=14 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(3)=1, Add (2,3)=15 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=20 Failed, w=60\",\"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)=20 Failed, w=60\",\"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)=23 Failed, w=60\",\"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)=24 Failed, w=60\",\"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)=29 Failed, w=60\",\"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)=51 Failed, w=60\",\"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=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=68 Failed, w=60\",\"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)=74 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=85 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,93],[0,5,81],[2,4,62],[2,5,89],[3,5,19],[4,5,68]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,5,81],[2,4,62],[2,5,89],[3,5,19],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,5,81],[2,4,62],[2,5,89],[3,5,19],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (0,5)\"],\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,5,81],[2,4,62],[2,5,89],[3,5,19],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=19, w=19\",\"Add (2,4)=62, w=81\",\"Add (4,5)=68, w=149\",\"Add (0,5)=81, w=230\"],\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,5,81],[2,4,62],[2,5,89],[3,5,19],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=19 Succeeded, w=19\",\"Add (2,4)=62 Succeeded, w=81\",\"Add (4,5)=68 Succeeded, w=149\",\"Add (0,5)=81 Succeeded, w=230\",\"Add (2,5)=89 Failed, w=230\",\"Add (0,2)=93 Failed, w=230\"],\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,5,81],[2,4,62],[2,5,89],[3,5,19],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=19,(2,4)=62,(4,5)=68,(0,5)=81,(2,5)=89,(0,2)=93]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=19\",\"Find(2)=2, Find(4)=4, Add (2,4)=62 Succeeded, w=81\",\"Find(4)=2, Find(5)=3, Add (4,5)=68 Succeeded, w=149\",\"Find(0)=0, Find(5)=2, Add (0,5)=81 Succeeded, w=230\",\"Find(2)=2, Find(5)=2, Add (2,5)=89 Failed, w=230\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=230\"],\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,5,81],[2,4,62],[2,5,89],[3,5,19],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=19,(2,4)=62,(4,5)=68,(0,5)=81,(2,5)=89,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=62 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3}, Find(4)=2, Find(5)=3, Add (4,5)=68 Succeeded, w=149\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=81 Succeeded, w=230\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=89 Failed, w=230\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=230\"],\"Answer\":230}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,21],[0,4,36],[1,3,30],[1,4,62],[2,3,59],[2,4,22]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,21],[0,4,36],[1,3,30],[1,4,62],[2,3,59],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,21],[0,4,36],[1,3,30],[1,4,62],[2,3,59],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,21],[0,4,36],[1,3,30],[1,4,62],[2,3,59],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=21, w=21\",\"Add (2,4)=22, w=43\",\"Add (1,3)=30, w=73\",\"Add (0,1)=33, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,21],[0,4,36],[1,3,30],[1,4,62],[2,3,59],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=21 Succeeded, w=21\",\"Add (2,4)=22 Succeeded, w=43\",\"Add (1,3)=30 Succeeded, w=73\",\"Add (0,1)=33 Succeeded, w=106\",\"Add (0,4)=36 Failed, w=106\",\"Add (2,3)=59 Failed, w=106\",\"Add (1,4)=62 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,21],[0,4,36],[1,3,30],[1,4,62],[2,3,59],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=21,(2,4)=22,(1,3)=30,(0,1)=33,(0,4)=36,(2,3)=59,(1,4)=62]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=21\",\"Find(2)=0, Find(4)=4, Add (2,4)=22 Succeeded, w=43\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=73\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=106\",\"Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=106\",\"Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=106\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,21],[0,4,36],[1,3,30],[1,4,62],[2,3,59],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=21,(2,4)=22,(1,3)=30,(0,1)=33,(0,4)=36,(2,3)=59,(1,4)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,27],[0,3,50],[1,2,73],[1,3,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,50],[1,2,73],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,50],[1,2,73],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,50],[1,2,73],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27, w=27\",\"Add (1,3)=41, w=68\",\"Add (0,3)=50, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,50],[1,2,73],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27 Succeeded, w=27\",\"Add (1,3)=41 Succeeded, w=68\",\"Add (0,3)=50 Succeeded, w=118\",\"Add (1,2)=73 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,50],[1,2,73],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(1,3)=41,(0,3)=50,(1,2)=73]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=68\",\"Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=118\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,50],[1,2,73],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(1,3)=41,(0,3)=50,(1,2)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,11],[0,2,57],[0,3,8],[1,2,41],[1,3,89],[1,4,4],[2,3,78],[2,4,10],[3,4,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,57],[0,3,8],[1,2,41],[1,3,89],[1,4,4],[2,3,78],[2,4,10],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,57],[0,3,8],[1,2,41],[1,3,89],[1,4,4],[2,3,78],[2,4,10],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,57],[0,3,8],[1,2,41],[1,3,89],[1,4,4],[2,3,78],[2,4,10],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (1,4)=4, w=4\",\"Add (0,3)=8, w=12\",\"Add (2,4)=10, w=22\"],\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,57],[0,3,8],[1,2,41],[1,3,89],[1,4,4],[2,3,78],[2,4,10],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (1,4)=4 Succeeded, w=4\",\"Add (0,3)=8 Succeeded, w=12\",\"Add (2,4)=10 Succeeded, w=22\",\"Add (0,1)=11 Failed, w=22\",\"Add (1,2)=41 Failed, w=22\",\"Add (0,2)=57 Failed, w=22\",\"Add (2,3)=78 Failed, w=22\",\"Add (1,3)=89 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,57],[0,3,8],[1,2,41],[1,3,89],[1,4,4],[2,3,78],[2,4,10],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(1,4)=4,(0,3)=8,(2,4)=10,(0,1)=11,(1,2)=41,(0,2)=57,(2,3)=78,(1,3)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=3, Add (1,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=12\",\"Find(2)=2, Find(4)=3, Add (2,4)=10 Succeeded, w=22\",\"Find(0)=3, Find(1)=3, Add (0,1)=11 Failed, w=22\",\"Find(1)=3, Find(2)=3, Add (1,2)=41 Failed, w=22\",\"Find(0)=3, Find(2)=3, Add (0,2)=57 Failed, w=22\",\"Find(2)=3, Find(3)=3, Add (2,3)=78 Failed, w=22\",\"Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,57],[0,3,8],[1,2,41],[1,3,89],[1,4,4],[2,3,78],[2,4,10],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(1,4)=4,(0,3)=8,(2,4)=10,(0,1)=11,(1,2)=41,(0,2)=57,(2,3)=78,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=12\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=10 Succeeded, w=22\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=11 Failed, w=22\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=41 Failed, w=22\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=57 Failed, w=22\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=78 Failed, w=22\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,93],[0,2,6],[0,3,31],[0,4,95],[1,2,17],[1,3,69],[1,4,7],[2,3,91],[2,4,34],[3,4,10]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,6],[0,3,31],[0,4,95],[1,2,17],[1,3,69],[1,4,7],[2,3,91],[2,4,34],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,6],[0,3,31],[0,4,95],[1,2,17],[1,3,69],[1,4,7],[2,3,91],[2,4,34],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,6],[0,3,31],[0,4,95],[1,2,17],[1,3,69],[1,4,7],[2,3,91],[2,4,34],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (1,4)=7, w=13\",\"Add (3,4)=10, w=23\",\"Add (1,2)=17, w=40\"],\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,6],[0,3,31],[0,4,95],[1,2,17],[1,3,69],[1,4,7],[2,3,91],[2,4,34],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (1,4)=7 Succeeded, w=13\",\"Add (3,4)=10 Succeeded, w=23\",\"Add (1,2)=17 Succeeded, w=40\",\"Add (0,3)=31 Failed, w=40\",\"Add (2,4)=34 Failed, w=40\",\"Add (1,3)=69 Failed, w=40\",\"Add (2,3)=91 Failed, w=40\",\"Add (0,1)=93 Failed, w=40\",\"Add (0,4)=95 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,6],[0,3,31],[0,4,95],[1,2,17],[1,3,69],[1,4,7],[2,3,91],[2,4,34],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,4)=7,(3,4)=10,(1,2)=17,(0,3)=31,(2,4)=34,(1,3)=69,(2,3)=91,(0,1)=93,(0,4)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=13\",\"Find(3)=3, Find(4)=1, Add (3,4)=10 Succeeded, w=23\",\"Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=40\",\"Find(0)=1, Find(3)=1, Add (0,3)=31 Failed, w=40\",\"Find(2)=1, Find(4)=1, Add (2,4)=34 Failed, w=40\",\"Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=40\",\"Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=40\",\"Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=40\",\"Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,6],[0,3,31],[0,4,95],[1,2,17],[1,3,69],[1,4,7],[2,3,91],[2,4,34],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,4)=7,(3,4)=10,(1,2)=17,(0,3)=31,(2,4)=34,(1,3)=69,(2,3)=91,(0,1)=93,(0,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=10 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=31 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=34 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,84],[0,4,91],[0,5,93],[0,6,65],[1,2,68],[1,3,34],[1,4,99],[1,5,9],[2,4,13],[2,5,14],[2,6,43],[3,4,48],[3,5,80],[3,6,27]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,4,91],[0,5,93],[0,6,65],[1,2,68],[1,3,34],[1,4,99],[1,5,9],[2,4,13],[2,5,14],[2,6,43],[3,4,48],[3,5,80],[3,6,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,4,91],[0,5,93],[0,6,65],[1,2,68],[1,3,34],[1,4,99],[1,5,9],[2,4,13],[2,5,14],[2,6,43],[3,4,48],[3,5,80],[3,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (0,6)\"],\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,4,91],[0,5,93],[0,6,65],[1,2,68],[1,3,34],[1,4,99],[1,5,9],[2,4,13],[2,5,14],[2,6,43],[3,4,48],[3,5,80],[3,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9, w=9\",\"Add (2,4)=13, w=22\",\"Add (2,5)=14, w=36\",\"Add (3,6)=27, w=63\",\"Add (1,3)=34, w=97\",\"Add (0,6)=65, w=162\"],\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,4,91],[0,5,93],[0,6,65],[1,2,68],[1,3,34],[1,4,99],[1,5,9],[2,4,13],[2,5,14],[2,6,43],[3,4,48],[3,5,80],[3,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9 Succeeded, w=9\",\"Add (2,4)=13 Succeeded, w=22\",\"Add (2,5)=14 Succeeded, w=36\",\"Add (3,6)=27 Succeeded, w=63\",\"Add (1,3)=34 Succeeded, w=97\",\"Add (2,6)=43 Failed, w=97\",\"Add (3,4)=48 Failed, w=97\",\"Add (0,6)=65 Succeeded, w=162\",\"Add (1,2)=68 Failed, w=162\",\"Add (3,5)=80 Failed, w=162\",\"Add (0,2)=84 Failed, w=162\",\"Add (0,4)=91 Failed, w=162\",\"Add (0,5)=93 Failed, w=162\",\"Add (1,4)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,4,91],[0,5,93],[0,6,65],[1,2,68],[1,3,34],[1,4,99],[1,5,9],[2,4,13],[2,5,14],[2,6,43],[3,4,48],[3,5,80],[3,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(2,4)=13,(2,5)=14,(3,6)=27,(1,3)=34,(2,6)=43,(3,4)=48,(0,6)=65,(1,2)=68,(3,5)=80,(0,2)=84,(0,4)=91,(0,5)=93,(1,4)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=22\",\"Find(2)=2, Find(5)=1, Add (2,5)=14 Succeeded, w=36\",\"Find(3)=3, Find(6)=6, Add (3,6)=27 Succeeded, w=63\",\"Find(1)=2, Find(3)=3, Add (1,3)=34 Succeeded, w=97\",\"Find(2)=2, Find(6)=2, Add (2,6)=43 Failed, w=97\",\"Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=97\",\"Find(0)=0, Find(6)=2, Add (0,6)=65 Succeeded, w=162\",\"Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=162\",\"Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=162\",\"Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=162\",\"Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=162\",\"Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=162\",\"Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,4,91],[0,5,93],[0,6,65],[1,2,68],[1,3,34],[1,4,99],[1,5,9],[2,4,13],[2,5,14],[2,6,43],[3,4,48],[3,5,80],[3,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(2,4)=13,(2,5)=14,(3,6)=27,(1,3)=34,(2,6)=43,(3,4)=48,(0,6)=65,(1,2)=68,(3,5)=80,(0,2)=84,(0,4)=91,(0,5)=93,(1,4)=99]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6}, Find(2)=2, Find(5)=1, Add (2,5)=14 Succeeded, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=27 Succeeded, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 3}, Find(1)=2, Find(3)=3, Add (1,3)=34 Succeeded, w=97\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=43 Failed, w=97\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=65 Succeeded, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,39],[0,3,76],[0,4,18],[0,5,87],[0,6,8],[0,7,24],[1,2,32],[1,3,43],[1,4,18],[1,5,7],[1,6,67],[1,7,34],[2,3,48],[2,4,1],[2,5,54],[2,6,40],[2,7,10],[3,4,43],[3,5,57],[3,6,25],[3,7,9],[4,5,75],[4,6,53],[4,7,32],[5,6,32],[5,7,59],[6,7,40]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,39],[0,3,76],[0,4,18],[0,5,87],[0,6,8],[0,7,24],[1,2,32],[1,3,43],[1,4,18],[1,5,7],[1,6,67],[1,7,34],[2,3,48],[2,4,1],[2,5,54],[2,6,40],[2,7,10],[3,4,43],[3,5,57],[3,6,25],[3,7,9],[4,5,75],[4,6,53],[4,7,32],[5,6,32],[5,7,59],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,39],[0,3,76],[0,4,18],[0,5,87],[0,6,8],[0,7,24],[1,2,32],[1,3,43],[1,4,18],[1,5,7],[1,6,67],[1,7,34],[2,3,48],[2,4,1],[2,5,54],[2,6,40],[2,7,10],[3,4,43],[3,5,57],[3,6,25],[3,7,9],[4,5,75],[4,6,53],[4,7,32],[5,6,32],[5,7,59],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (3,7)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,39],[0,3,76],[0,4,18],[0,5,87],[0,6,8],[0,7,24],[1,2,32],[1,3,43],[1,4,18],[1,5,7],[1,6,67],[1,7,34],[2,3,48],[2,4,1],[2,5,54],[2,6,40],[2,7,10],[3,4,43],[3,5,57],[3,6,25],[3,7,9],[4,5,75],[4,6,53],[4,7,32],[5,6,32],[5,7,59],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (1,5)=7, w=8\",\"Add (0,6)=8, w=16\",\"Add (3,7)=9, w=25\",\"Add (2,7)=10, w=35\",\"Add (0,4)=18, w=53\",\"Add (1,4)=18, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,39],[0,3,76],[0,4,18],[0,5,87],[0,6,8],[0,7,24],[1,2,32],[1,3,43],[1,4,18],[1,5,7],[1,6,67],[1,7,34],[2,3,48],[2,4,1],[2,5,54],[2,6,40],[2,7,10],[3,4,43],[3,5,57],[3,6,25],[3,7,9],[4,5,75],[4,6,53],[4,7,32],[5,6,32],[5,7,59],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (1,5)=7 Succeeded, w=8\",\"Add (0,6)=8 Succeeded, w=16\",\"Add (3,7)=9 Succeeded, w=25\",\"Add (2,7)=10 Succeeded, w=35\",\"Add (0,4)=18 Succeeded, w=53\",\"Add (1,4)=18 Succeeded, w=71\",\"Add (0,7)=24 Failed, w=71\",\"Add (3,6)=25 Failed, w=71\",\"Add (1,2)=32 Failed, w=71\",\"Add (4,7)=32 Failed, w=71\",\"Add (5,6)=32 Failed, w=71\",\"Add (1,7)=34 Failed, w=71\",\"Add (0,2)=39 Failed, w=71\",\"Add (2,6)=40 Failed, w=71\",\"Add (6,7)=40 Failed, w=71\",\"Add (1,3)=43 Failed, w=71\",\"Add (3,4)=43 Failed, w=71\",\"Add (2,3)=48 Failed, w=71\",\"Add (4,6)=53 Failed, w=71\",\"Add (2,5)=54 Failed, w=71\",\"Add (3,5)=57 Failed, w=71\",\"Add (5,7)=59 Failed, w=71\",\"Add (0,1)=60 Failed, w=71\",\"Add (1,6)=67 Failed, w=71\",\"Add (4,5)=75 Failed, w=71\",\"Add (0,3)=76 Failed, w=71\",\"Add (0,5)=87 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,39],[0,3,76],[0,4,18],[0,5,87],[0,6,8],[0,7,24],[1,2,32],[1,3,43],[1,4,18],[1,5,7],[1,6,67],[1,7,34],[2,3,48],[2,4,1],[2,5,54],[2,6,40],[2,7,10],[3,4,43],[3,5,57],[3,6,25],[3,7,9],[4,5,75],[4,6,53],[4,7,32],[5,6,32],[5,7,59],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,5)=7,(0,6)=8,(3,7)=9,(2,7)=10,(0,4)=18,(1,4)=18,(0,7)=24,(3,6)=25,(1,2)=32,(4,7)=32,(5,6)=32,(1,7)=34,(0,2)=39,(2,6)=40,(6,7)=40,(1,3)=43,(3,4)=43,(2,3)=48,(4,6)=53,(2,5)=54,(3,5)=57,(5,7)=59,(0,1)=60,(1,6)=67,(4,5)=75,(0,3)=76,(0,5)=87]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=16\",\"Find(3)=3, Find(7)=7, Add (3,7)=9 Succeeded, w=25\",\"Find(2)=2, Find(7)=3, Add (2,7)=10 Succeeded, w=35\",\"Find(0)=0, Find(4)=2, Add (0,4)=18 Succeeded, w=53\",\"Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=71\",\"Find(0)=2, Find(7)=2, Add (0,7)=24 Failed, w=71\",\"Find(3)=2, Find(6)=2, Add (3,6)=25 Failed, w=71\",\"Find(1)=2, Find(2)=2, Add (1,2)=32 Failed, w=71\",\"Find(4)=2, Find(7)=2, Add (4,7)=32 Failed, w=71\",\"Find(5)=2, Find(6)=2, Add (5,6)=32 Failed, w=71\",\"Find(1)=2, Find(7)=2, Add (1,7)=34 Failed, w=71\",\"Find(0)=2, Find(2)=2, Add (0,2)=39 Failed, w=71\",\"Find(2)=2, Find(6)=2, Add (2,6)=40 Failed, w=71\",\"Find(6)=2, Find(7)=2, Add (6,7)=40 Failed, w=71\",\"Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=71\",\"Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=71\",\"Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=71\",\"Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=71\",\"Find(2)=2, Find(5)=2, Add (2,5)=54 Failed, w=71\",\"Find(3)=2, Find(5)=2, Add (3,5)=57 Failed, w=71\",\"Find(5)=2, Find(7)=2, Add (5,7)=59 Failed, w=71\",\"Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=71\",\"Find(1)=2, Find(6)=2, Add (1,6)=67 Failed, w=71\",\"Find(4)=2, Find(5)=2, Add (4,5)=75 Failed, w=71\",\"Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=71\",\"Find(0)=2, Find(5)=2, Add (0,5)=87 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,39],[0,3,76],[0,4,18],[0,5,87],[0,6,8],[0,7,24],[1,2,32],[1,3,43],[1,4,18],[1,5,7],[1,6,67],[1,7,34],[2,3,48],[2,4,1],[2,5,54],[2,6,40],[2,7,10],[3,4,43],[3,5,57],[3,6,25],[3,7,9],[4,5,75],[4,6,53],[4,7,32],[5,6,32],[5,7,59],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,5)=7,(0,6)=8,(3,7)=9,(2,7)=10,(0,4)=18,(1,4)=18,(0,7)=24,(3,6)=25,(1,2)=32,(4,7)=32,(5,6)=32,(1,7)=34,(0,2)=39,(2,6)=40,(6,7)=40,(1,3)=43,(3,4)=43,(2,3)=48,(4,6)=53,(2,5)=54,(3,5)=57,(5,7)=59,(0,1)=60,(1,6)=67,(4,5)=75,(0,3)=76,(0,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 0, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=9 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 0, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=10 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 0, 7: 3}, Find(0)=0, Find(4)=2, Add (0,4)=18 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 0, 7: 3}, Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 0, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=24 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=25 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=32 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=32 Failed, w=71\",\"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)=32 Failed, w=71\",\"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)=34 Failed, w=71\",\"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)=39 Failed, w=71\",\"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)=40 Failed, w=71\",\"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)=40 Failed, w=71\",\"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)=43 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=71\",\"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)=48 Failed, w=71\",\"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)=53 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=54 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=57 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=59 Failed, w=71\",\"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)=60 Failed, w=71\",\"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)=67 Failed, w=71\",\"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)=75 Failed, w=71\",\"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)=76 Failed, w=71\",\"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)=87 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
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