graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,2,88],[0,3,5],[0,4,45],[1,2,45],[1,3,61],[1,4,75],[2,3,84],[2,4,43],[3,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,88],[0,3,5],[0,4,45],[1,2,45],[1,3,61],[1,4,75],[2,3,84],[2,4,43],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,88],[0,3,5],[0,4,45],[1,2,45],[1,3,61],[1,4,75],[2,3,84],[2,4,43],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,88],[0,3,5],[0,4,45],[1,2,45],[1,3,61],[1,4,75],[2,3,84],[2,4,43],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (2,4)=43, w=48\",\"Add (0,4)=45, w=93\",\"Add (1,2)=45, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,88],[0,3,5],[0,4,45],[1,2,45],[1,3,61],[1,4,75],[2,3,84],[2,4,43],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (2,4)=43 Succeeded, w=48\",\"Add (0,4)=45 Succeeded, w=93\",\"Add (1,2)=45 Succeeded, w=138\",\"Add (3,4)=48 Failed, w=138\",\"Add (1,3)=61 Failed, w=138\",\"Add (1,4)=75 Failed, w=138\",\"Add (0,1)=77 Failed, w=138\",\"Add (2,3)=84 Failed, w=138\",\"Add (0,2)=88 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,88],[0,3,5],[0,4,45],[1,2,45],[1,3,61],[1,4,75],[2,3,84],[2,4,43],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,4)=43,(0,4)=45,(1,2)=45,(3,4)=48,(1,3)=61,(1,4)=75,(0,1)=77,(2,3)=84,(0,2)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=43 Succeeded, w=48\",\"Find(0)=0, Find(4)=2, Add (0,4)=45 Succeeded, w=93\",\"Find(1)=1, Find(2)=0, Add (1,2)=45 Succeeded, w=138\",\"Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=138\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=138\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=138\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=138\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=138\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,88],[0,3,5],[0,4,45],[1,2,45],[1,3,61],[1,4,75],[2,3,84],[2,4,43],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,4)=43,(0,4)=45,(1,2)=45,(3,4)=48,(1,3)=61,(1,4)=75,(0,1)=77,(2,3)=84,(0,2)=88]\",\"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: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=43 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=45 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=1, Find(2)=0, Add (1,2)=45 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,26],[0,4,78],[2,3,17],[2,4,15],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,26],[0,4,78],[2,3,17],[2,4,15],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,26],[0,4,78],[2,3,17],[2,4,15],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,26],[0,4,78],[2,3,17],[2,4,15],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15, w=15\",\"Add (2,3)=17, w=32\",\"Add (0,3)=26, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,26],[0,4,78],[2,3,17],[2,4,15],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15 Succeeded, w=15\",\"Add (2,3)=17 Succeeded, w=32\",\"Add (0,3)=26 Succeeded, w=58\",\"Add (0,4)=78 Failed, w=58\",\"Add (3,4)=94 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,26],[0,4,78],[2,3,17],[2,4,15],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(2,3)=17,(0,3)=26,(0,4)=78,(3,4)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=32\",\"Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=58\",\"Find(0)=2, Find(4)=2, Add (0,4)=78 Failed, w=58\",\"Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,26],[0,4,78],[2,3,17],[2,4,15],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(2,3)=17,(0,3)=26,(0,4)=78,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=78 Failed, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,47],[0,2,76],[0,3,19],[0,4,32],[1,2,50],[1,3,95],[1,4,85],[2,3,87],[2,4,2],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,76],[0,3,19],[0,4,32],[1,2,50],[1,3,95],[1,4,85],[2,3,87],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,76],[0,3,19],[0,4,32],[1,2,50],[1,3,95],[1,4,85],[2,3,87],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,76],[0,3,19],[0,4,32],[1,2,50],[1,3,95],[1,4,85],[2,3,87],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,3)=19, w=21\",\"Add (3,4)=19, w=40\",\"Add (0,1)=47, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,76],[0,3,19],[0,4,32],[1,2,50],[1,3,95],[1,4,85],[2,3,87],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,3)=19 Succeeded, w=21\",\"Add (3,4)=19 Succeeded, w=40\",\"Add (0,4)=32 Failed, w=40\",\"Add (0,1)=47 Succeeded, w=87\",\"Add (1,2)=50 Failed, w=87\",\"Add (0,2)=76 Failed, w=87\",\"Add (1,4)=85 Failed, w=87\",\"Add (2,3)=87 Failed, w=87\",\"Add (1,3)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,76],[0,3,19],[0,4,32],[1,2,50],[1,3,95],[1,4,85],[2,3,87],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,3)=19,(3,4)=19,(0,4)=32,(0,1)=47,(1,2)=50,(0,2)=76,(1,4)=85,(2,3)=87,(1,3)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=21\",\"Find(3)=0, Find(4)=2, Add (3,4)=19 Succeeded, w=40\",\"Find(0)=0, Find(4)=0, Add (0,4)=32 Failed, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=87\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=87\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=87\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=87\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,76],[0,3,19],[0,4,32],[1,2,50],[1,3,95],[1,4,85],[2,3,87],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,3)=19,(3,4)=19,(0,4)=32,(0,1)=47,(1,2)=50,(0,2)=76,(1,4)=85,(2,3)=87,(1,3)=95]\",\"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: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2}, Find(3)=0, Find(4)=2, Add (3,4)=19 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=32 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,73],[0,2,14],[0,5,77],[1,2,4],[1,3,81],[1,4,39],[2,3,20],[3,4,50],[3,5,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,14],[0,5,77],[1,2,4],[1,3,81],[1,4,39],[2,3,20],[3,4,50],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,14],[0,5,77],[1,2,4],[1,3,81],[1,4,39],[2,3,20],[3,4,50],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (3,5)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,14],[0,5,77],[1,2,4],[1,3,81],[1,4,39],[2,3,20],[3,4,50],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,2)=14, w=18\",\"Add (2,3)=20, w=38\",\"Add (1,4)=39, w=77\",\"Add (3,5)=70, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,14],[0,5,77],[1,2,4],[1,3,81],[1,4,39],[2,3,20],[3,4,50],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,2)=14 Succeeded, w=18\",\"Add (2,3)=20 Succeeded, w=38\",\"Add (1,4)=39 Succeeded, w=77\",\"Add (3,4)=50 Failed, w=77\",\"Add (3,5)=70 Succeeded, w=147\",\"Add (0,1)=73 Failed, w=147\",\"Add (0,5)=77 Failed, w=147\",\"Add (1,3)=81 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,14],[0,5,77],[1,2,4],[1,3,81],[1,4,39],[2,3,20],[3,4,50],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,2)=14,(2,3)=20,(1,4)=39,(3,4)=50,(3,5)=70,(0,1)=73,(0,5)=77,(1,3)=81]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=1, Add (0,2)=14 Succeeded, w=18\",\"Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=38\",\"Find(1)=1, Find(4)=4, Add (1,4)=39 Succeeded, w=77\",\"Find(3)=1, Find(4)=1, Add (3,4)=50 Failed, w=77\",\"Find(3)=1, Find(5)=5, Add (3,5)=70 Succeeded, w=147\",\"Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=147\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=147\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,14],[0,5,77],[1,2,4],[1,3,81],[1,4,39],[2,3,20],[3,4,50],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,2)=14,(2,3)=20,(1,4)=39,(3,4)=50,(3,5)=70,(0,1)=73,(0,5)=77,(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=14 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=39 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=1, Add (3,4)=50 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=70 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,54],[0,3,20],[0,4,47],[1,3,59],[1,4,72],[2,3,63],[2,4,56],[3,4,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,54],[0,3,20],[0,4,47],[1,3,59],[1,4,72],[2,3,63],[2,4,56],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,54],[0,3,20],[0,4,47],[1,3,59],[1,4,72],[2,3,63],[2,4,56],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,54],[0,3,20],[0,4,47],[1,3,59],[1,4,72],[2,3,63],[2,4,56],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=20, w=20\",\"Add (3,4)=45, w=65\",\"Add (0,2)=54, w=119\",\"Add (0,1)=57, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,54],[0,3,20],[0,4,47],[1,3,59],[1,4,72],[2,3,63],[2,4,56],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=20 Succeeded, w=20\",\"Add (3,4)=45 Succeeded, w=65\",\"Add (0,4)=47 Failed, w=65\",\"Add (0,2)=54 Succeeded, w=119\",\"Add (2,4)=56 Failed, w=119\",\"Add (0,1)=57 Succeeded, w=176\",\"Add (1,3)=59 Failed, w=176\",\"Add (2,3)=63 Failed, w=176\",\"Add (1,4)=72 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,54],[0,3,20],[0,4,47],[1,3,59],[1,4,72],[2,3,63],[2,4,56],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=20,(3,4)=45,(0,4)=47,(0,2)=54,(2,4)=56,(0,1)=57,(1,3)=59,(2,3)=63,(1,4)=72]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=20\",\"Find(3)=0, Find(4)=4, Add (3,4)=45 Succeeded, w=65\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=65\",\"Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=119\",\"Find(2)=0, Find(4)=0, Add (2,4)=56 Failed, w=119\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=176\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=176\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=176\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,54],[0,3,20],[0,4,47],[1,3,59],[1,4,72],[2,3,63],[2,4,56],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=20,(3,4)=45,(0,4)=47,(0,2)=54,(2,4)=56,(0,1)=57,(1,3)=59,(2,3)=63,(1,4)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=45 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=119\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=56 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,60],[0,2,97],[0,3,7],[0,4,1],[1,2,79],[1,3,96],[1,4,82],[2,4,75],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,97],[0,3,7],[0,4,1],[1,2,79],[1,3,96],[1,4,82],[2,4,75],[3,4,54]]}",
"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\":[[0,1,60],[0,2,97],[0,3,7],[0,4,1],[1,2,79],[1,3,96],[1,4,82],[2,4,75],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,97],[0,3,7],[0,4,1],[1,2,79],[1,3,96],[1,4,82],[2,4,75],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (0,3)=7, w=8\",\"Add (0,1)=60, w=68\",\"Add (2,4)=75, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,97],[0,3,7],[0,4,1],[1,2,79],[1,3,96],[1,4,82],[2,4,75],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (0,3)=7 Succeeded, w=8\",\"Add (3,4)=54 Failed, w=8\",\"Add (0,1)=60 Succeeded, w=68\",\"Add (2,4)=75 Succeeded, w=143\",\"Add (1,2)=79 Failed, w=143\",\"Add (1,4)=82 Failed, w=143\",\"Add (1,3)=96 Failed, w=143\",\"Add (0,2)=97 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\":[[0,1,60],[0,2,97],[0,3,7],[0,4,1],[1,2,79],[1,3,96],[1,4,82],[2,4,75],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,3)=7,(3,4)=54,(0,1)=60,(2,4)=75,(1,2)=79,(1,4)=82,(1,3)=96,(0,2)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=8\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=60 Succeeded, w=68\",\"Find(2)=2, Find(4)=0, Add (2,4)=75 Succeeded, w=143\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=143\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=143\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=143\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 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\":[[0,1,60],[0,2,97],[0,3,7],[0,4,1],[1,2,79],[1,3,96],[1,4,82],[2,4,75],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,3)=7,(3,4)=54,(0,1)=60,(2,4)=75,(1,2)=79,(1,4)=82,(1,3)=96,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=60 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=75 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,88],[0,2,65],[0,3,52],[0,4,8],[0,5,19],[0,6,10],[0,7,77],[1,2,14],[1,3,13],[1,5,71],[1,6,74],[1,7,91],[2,3,33],[2,4,12],[2,5,65],[2,6,69],[2,7,37],[3,4,50],[3,5,36],[3,6,29],[3,7,36],[4,5,95],[4,6,68],[4,7,30],[5,6,85],[5,7,35],[6,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,65],[0,3,52],[0,4,8],[0,5,19],[0,6,10],[0,7,77],[1,2,14],[1,3,13],[1,5,71],[1,6,74],[1,7,91],[2,3,33],[2,4,12],[2,5,65],[2,6,69],[2,7,37],[3,4,50],[3,5,36],[3,6,29],[3,7,36],[4,5,95],[4,6,68],[4,7,30],[5,6,85],[5,7,35],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,65],[0,3,52],[0,4,8],[0,5,19],[0,6,10],[0,7,77],[1,2,14],[1,3,13],[1,5,71],[1,6,74],[1,7,91],[2,3,33],[2,4,12],[2,5,65],[2,6,69],[2,7,37],[3,4,50],[3,5,36],[3,6,29],[3,7,36],[4,5,95],[4,6,68],[4,7,30],[5,6,85],[5,7,35],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (4,7)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,65],[0,3,52],[0,4,8],[0,5,19],[0,6,10],[0,7,77],[1,2,14],[1,3,13],[1,5,71],[1,6,74],[1,7,91],[2,3,33],[2,4,12],[2,5,65],[2,6,69],[2,7,37],[3,4,50],[3,5,36],[3,6,29],[3,7,36],[4,5,95],[4,6,68],[4,7,30],[5,6,85],[5,7,35],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8, w=8\",\"Add (0,6)=10, w=18\",\"Add (2,4)=12, w=30\",\"Add (1,3)=13, w=43\",\"Add (1,2)=14, w=57\",\"Add (0,5)=19, w=76\",\"Add (4,7)=30, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,65],[0,3,52],[0,4,8],[0,5,19],[0,6,10],[0,7,77],[1,2,14],[1,3,13],[1,5,71],[1,6,74],[1,7,91],[2,3,33],[2,4,12],[2,5,65],[2,6,69],[2,7,37],[3,4,50],[3,5,36],[3,6,29],[3,7,36],[4,5,95],[4,6,68],[4,7,30],[5,6,85],[5,7,35],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8 Succeeded, w=8\",\"Add (0,6)=10 Succeeded, w=18\",\"Add (2,4)=12 Succeeded, w=30\",\"Add (1,3)=13 Succeeded, w=43\",\"Add (1,2)=14 Succeeded, w=57\",\"Add (0,5)=19 Succeeded, w=76\",\"Add (3,6)=29 Failed, w=76\",\"Add (4,7)=30 Succeeded, w=106\",\"Add (2,3)=33 Failed, w=106\",\"Add (5,7)=35 Failed, w=106\",\"Add (3,5)=36 Failed, w=106\",\"Add (3,7)=36 Failed, w=106\",\"Add (2,7)=37 Failed, w=106\",\"Add (6,7)=49 Failed, w=106\",\"Add (3,4)=50 Failed, w=106\",\"Add (0,3)=52 Failed, w=106\",\"Add (0,2)=65 Failed, w=106\",\"Add (2,5)=65 Failed, w=106\",\"Add (4,6)=68 Failed, w=106\",\"Add (2,6)=69 Failed, w=106\",\"Add (1,5)=71 Failed, w=106\",\"Add (1,6)=74 Failed, w=106\",\"Add (0,7)=77 Failed, w=106\",\"Add (5,6)=85 Failed, w=106\",\"Add (0,1)=88 Failed, w=106\",\"Add (1,7)=91 Failed, w=106\",\"Add (4,5)=95 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,65],[0,3,52],[0,4,8],[0,5,19],[0,6,10],[0,7,77],[1,2,14],[1,3,13],[1,5,71],[1,6,74],[1,7,91],[2,3,33],[2,4,12],[2,5,65],[2,6,69],[2,7,37],[3,4,50],[3,5,36],[3,6,29],[3,7,36],[4,5,95],[4,6,68],[4,7,30],[5,6,85],[5,7,35],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(0,6)=10,(2,4)=12,(1,3)=13,(1,2)=14,(0,5)=19,(3,6)=29,(4,7)=30,(2,3)=33,(5,7)=35,(3,5)=36,(3,7)=36,(2,7)=37,(6,7)=49,(3,4)=50,(0,3)=52,(0,2)=65,(2,5)=65,(4,6)=68,(2,6)=69,(1,5)=71,(1,6)=74,(0,7)=77,(5,6)=85,(0,1)=88,(1,7)=91,(4,5)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=18\",\"Find(2)=2, Find(4)=0, Add (2,4)=12 Succeeded, w=30\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=43\",\"Find(1)=1, Find(2)=0, Add (1,2)=14 Succeeded, w=57\",\"Find(0)=1, Find(5)=5, Add (0,5)=19 Succeeded, w=76\",\"Find(3)=1, Find(6)=1, Add (3,6)=29 Failed, w=76\",\"Find(4)=1, Find(7)=7, Add (4,7)=30 Succeeded, w=106\",\"Find(2)=1, Find(3)=1, Add (2,3)=33 Failed, w=106\",\"Find(5)=1, Find(7)=1, Add (5,7)=35 Failed, w=106\",\"Find(3)=1, Find(5)=1, Add (3,5)=36 Failed, w=106\",\"Find(3)=1, Find(7)=1, Add (3,7)=36 Failed, w=106\",\"Find(2)=1, Find(7)=1, Add (2,7)=37 Failed, w=106\",\"Find(6)=1, Find(7)=1, Add (6,7)=49 Failed, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=50 Failed, w=106\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=106\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=106\",\"Find(2)=1, Find(5)=1, Add (2,5)=65 Failed, w=106\",\"Find(4)=1, Find(6)=1, Add (4,6)=68 Failed, w=106\",\"Find(2)=1, Find(6)=1, Add (2,6)=69 Failed, w=106\",\"Find(1)=1, Find(5)=1, Add (1,5)=71 Failed, w=106\",\"Find(1)=1, Find(6)=1, Add (1,6)=74 Failed, w=106\",\"Find(0)=1, Find(7)=1, Add (0,7)=77 Failed, w=106\",\"Find(5)=1, Find(6)=1, Add (5,6)=85 Failed, w=106\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=106\",\"Find(1)=1, Find(7)=1, Add (1,7)=91 Failed, w=106\",\"Find(4)=1, Find(5)=1, Add (4,5)=95 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,65],[0,3,52],[0,4,8],[0,5,19],[0,6,10],[0,7,77],[1,2,14],[1,3,13],[1,5,71],[1,6,74],[1,7,91],[2,3,33],[2,4,12],[2,5,65],[2,6,69],[2,7,37],[3,4,50],[3,5,36],[3,6,29],[3,7,36],[4,5,95],[4,6,68],[4,7,30],[5,6,85],[5,7,35],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(0,6)=10,(2,4)=12,(1,3)=13,(1,2)=14,(0,5)=19,(3,6)=29,(4,7)=30,(2,3)=33,(5,7)=35,(3,5)=36,(3,7)=36,(2,7)=37,(6,7)=49,(3,4)=50,(0,3)=52,(0,2)=65,(2,5)=65,(4,6)=68,(2,6)=69,(1,5)=71,(1,6)=74,(0,7)=77,(5,6)=85,(0,1)=88,(1,7)=91,(4,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=12 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=14 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0, 7: 7}, Find(0)=1, Find(5)=5, Add (0,5)=19 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(6)=1, Add (3,6)=29 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=30 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=33 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=35 Failed, w=106\",\"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)=36 Failed, w=106\",\"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)=36 Failed, w=106\",\"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)=37 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=49 Failed, w=106\",\"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)=50 Failed, w=106\",\"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)=52 Failed, w=106\",\"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)=65 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=65 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=68 Failed, w=106\",\"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)=69 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=71 Failed, w=106\",\"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)=74 Failed, w=106\",\"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)=77 Failed, w=106\",\"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)=85 Failed, w=106\",\"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)=88 Failed, w=106\",\"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)=91 Failed, w=106\",\"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)=95 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,32],[0,3,79],[0,4,7],[0,5,17],[1,2,81],[1,3,71],[1,4,21],[1,5,44],[2,4,28],[2,5,80],[3,4,32],[3,5,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,32],[0,3,79],[0,4,7],[0,5,17],[1,2,81],[1,3,71],[1,4,21],[1,5,44],[2,4,28],[2,5,80],[3,4,32],[3,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,32],[0,3,79],[0,4,7],[0,5,17],[1,2,81],[1,3,71],[1,4,21],[1,5,44],[2,4,28],[2,5,80],[3,4,32],[3,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,32],[0,3,79],[0,4,7],[0,5,17],[1,2,81],[1,3,71],[1,4,21],[1,5,44],[2,4,28],[2,5,80],[3,4,32],[3,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (0,5)=17, w=24\",\"Add (1,4)=21, w=45\",\"Add (2,4)=28, w=73\",\"Add (3,4)=32, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,32],[0,3,79],[0,4,7],[0,5,17],[1,2,81],[1,3,71],[1,4,21],[1,5,44],[2,4,28],[2,5,80],[3,4,32],[3,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (0,5)=17 Succeeded, w=24\",\"Add (1,4)=21 Succeeded, w=45\",\"Add (2,4)=28 Succeeded, w=73\",\"Add (0,2)=32 Failed, w=73\",\"Add (3,4)=32 Succeeded, w=105\",\"Add (0,1)=41 Failed, w=105\",\"Add (1,5)=44 Failed, w=105\",\"Add (3,5)=61 Failed, w=105\",\"Add (1,3)=71 Failed, w=105\",\"Add (0,3)=79 Failed, w=105\",\"Add (2,5)=80 Failed, w=105\",\"Add (1,2)=81 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,32],[0,3,79],[0,4,7],[0,5,17],[1,2,81],[1,3,71],[1,4,21],[1,5,44],[2,4,28],[2,5,80],[3,4,32],[3,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(0,5)=17,(1,4)=21,(2,4)=28,(0,2)=32,(3,4)=32,(0,1)=41,(1,5)=44,(3,5)=61,(1,3)=71,(0,3)=79,(2,5)=80,(1,2)=81]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=24\",\"Find(1)=1, Find(4)=0, Add (1,4)=21 Succeeded, w=45\",\"Find(2)=2, Find(4)=0, Add (2,4)=28 Succeeded, w=73\",\"Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=73\",\"Find(3)=3, Find(4)=0, Add (3,4)=32 Succeeded, w=105\",\"Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=105\",\"Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=105\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=105\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,32],[0,3,79],[0,4,7],[0,5,17],[1,2,81],[1,3,71],[1,4,21],[1,5,44],[2,4,28],[2,5,80],[3,4,32],[3,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(0,5)=17,(1,4)=21,(2,4)=28,(0,2)=32,(3,4)=32,(0,1)=41,(1,5)=44,(3,5)=61,(1,3)=71,(0,3)=79,(2,5)=80,(1,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=21 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=28 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=32 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,2,7],[0,4,100],[0,6,29],[1,2,82],[1,3,11],[2,3,3],[2,4,92],[3,4,8],[3,5,49],[4,6,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,7],[0,4,100],[0,6,29],[1,2,82],[1,3,11],[2,3,3],[2,4,92],[3,4,8],[3,5,49],[4,6,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,7],[0,4,100],[0,6,29],[1,2,82],[1,3,11],[2,3,3],[2,4,92],[3,4,8],[3,5,49],[4,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,6)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (3,5)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,7],[0,4,100],[0,6,29],[1,2,82],[1,3,11],[2,3,3],[2,4,92],[3,4,8],[3,5,49],[4,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (4,6)=5, w=8\",\"Add (0,2)=7, w=15\",\"Add (3,4)=8, w=23\",\"Add (1,3)=11, w=34\",\"Add (3,5)=49, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,7],[0,4,100],[0,6,29],[1,2,82],[1,3,11],[2,3,3],[2,4,92],[3,4,8],[3,5,49],[4,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (4,6)=5 Succeeded, w=8\",\"Add (0,2)=7 Succeeded, w=15\",\"Add (3,4)=8 Succeeded, w=23\",\"Add (1,3)=11 Succeeded, w=34\",\"Add (0,6)=29 Failed, w=34\",\"Add (0,1)=43 Failed, w=34\",\"Add (3,5)=49 Succeeded, w=83\",\"Add (1,2)=82 Failed, w=83\",\"Add (2,4)=92 Failed, w=83\",\"Add (0,4)=100 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,7],[0,4,100],[0,6,29],[1,2,82],[1,3,11],[2,3,3],[2,4,92],[3,4,8],[3,5,49],[4,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(4,6)=5,(0,2)=7,(3,4)=8,(1,3)=11,(0,6)=29,(0,1)=43,(3,5)=49,(1,2)=82,(2,4)=92,(0,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=15\",\"Find(3)=2, Find(4)=4, Add (3,4)=8 Succeeded, w=23\",\"Find(1)=1, Find(3)=2, Add (1,3)=11 Succeeded, w=34\",\"Find(0)=2, Find(6)=2, Add (0,6)=29 Failed, w=34\",\"Find(0)=2, Find(1)=2, Add (0,1)=43 Failed, w=34\",\"Find(3)=2, Find(5)=5, Add (3,5)=49 Succeeded, w=83\",\"Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=83\",\"Find(2)=2, Find(4)=2, Add (2,4)=92 Failed, w=83\",\"Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,7],[0,4,100],[0,6,29],[1,2,82],[1,3,11],[2,3,3],[2,4,92],[3,4,8],[3,5,49],[4,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(4,6)=5,(0,2)=7,(3,4)=8,(1,3)=11,(0,6)=29,(0,1)=43,(3,5)=49,(1,2)=82,(2,4)=92,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 4}, Find(3)=2, Find(4)=4, Add (3,4)=8 Succeeded, w=23\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 4}, Find(1)=1, Find(3)=2, Add (1,3)=11 Succeeded, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=29 Failed, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=43 Failed, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=49 Succeeded, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=92 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,82],[0,2,91],[0,3,66],[1,2,79],[1,3,53],[2,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,91],[0,3,66],[1,2,79],[1,3,53],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,91],[0,3,66],[1,2,79],[1,3,53],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,91],[0,3,66],[1,2,79],[1,3,53],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (1,3)=53, w=61\",\"Add (0,3)=66, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,91],[0,3,66],[1,2,79],[1,3,53],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (1,3)=53 Succeeded, w=61\",\"Add (0,3)=66 Succeeded, w=127\",\"Add (1,2)=79 Failed, w=127\",\"Add (0,1)=82 Failed, w=127\",\"Add (0,2)=91 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,91],[0,3,66],[1,2,79],[1,3,53],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,3)=53,(0,3)=66,(1,2)=79,(0,1)=82,(0,2)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=2, Add (1,3)=53 Succeeded, w=61\",\"Find(0)=0, Find(3)=2, Add (0,3)=66 Succeeded, w=127\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=127\",\"Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=127\",\"Find(0)=2, Find(2)=2, Add (0,2)=91 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,91],[0,3,66],[1,2,79],[1,3,53],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,3)=53,(0,3)=66,(1,2)=79,(0,1)=82,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=53 Succeeded, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=66 Succeeded, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=91 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,2,39],[0,3,36],[0,4,21],[0,5,41],[0,6,3],[1,2,45],[1,4,50],[2,3,56],[2,5,71],[3,5,46],[3,6,74],[4,5,96],[4,6,32],[5,6,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,39],[0,3,36],[0,4,21],[0,5,41],[0,6,3],[1,2,45],[1,4,50],[2,3,56],[2,5,71],[3,5,46],[3,6,74],[4,5,96],[4,6,32],[5,6,66]]}",
"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],\"edges\":[[0,1,82],[0,2,39],[0,3,36],[0,4,21],[0,5,41],[0,6,3],[1,2,45],[1,4,50],[2,3,56],[2,5,71],[3,5,46],[3,6,74],[4,5,96],[4,6,32],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,5)\",\"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],\"edges\":[[0,1,82],[0,2,39],[0,3,36],[0,4,21],[0,5,41],[0,6,3],[1,2,45],[1,4,50],[2,3,56],[2,5,71],[3,5,46],[3,6,74],[4,5,96],[4,6,32],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=3, w=3\",\"Add (0,4)=21, w=24\",\"Add (0,3)=36, w=60\",\"Add (0,2)=39, w=99\",\"Add (0,5)=41, w=140\",\"Add (1,2)=45, 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],\"edges\":[[0,1,82],[0,2,39],[0,3,36],[0,4,21],[0,5,41],[0,6,3],[1,2,45],[1,4,50],[2,3,56],[2,5,71],[3,5,46],[3,6,74],[4,5,96],[4,6,32],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=3 Succeeded, w=3\",\"Add (0,4)=21 Succeeded, w=24\",\"Add (4,6)=32 Failed, w=24\",\"Add (0,3)=36 Succeeded, w=60\",\"Add (0,2)=39 Succeeded, w=99\",\"Add (0,5)=41 Succeeded, w=140\",\"Add (1,2)=45 Succeeded, w=185\",\"Add (3,5)=46 Failed, w=185\",\"Add (1,4)=50 Failed, w=185\",\"Add (2,3)=56 Failed, w=185\",\"Add (5,6)=66 Failed, w=185\",\"Add (2,5)=71 Failed, w=185\",\"Add (3,6)=74 Failed, w=185\",\"Add (0,1)=82 Failed, w=185\",\"Add (4,5)=96 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],\"edges\":[[0,1,82],[0,2,39],[0,3,36],[0,4,21],[0,5,41],[0,6,3],[1,2,45],[1,4,50],[2,3,56],[2,5,71],[3,5,46],[3,6,74],[4,5,96],[4,6,32],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=3,(0,4)=21,(4,6)=32,(0,3)=36,(0,2)=39,(0,5)=41,(1,2)=45,(3,5)=46,(1,4)=50,(2,3)=56,(5,6)=66,(2,5)=71,(3,6)=74,(0,1)=82,(4,5)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=24\",\"Find(4)=0, Find(6)=0, Add (4,6)=32 Failed, w=24\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=60\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=99\",\"Find(0)=0, Find(5)=5, Add (0,5)=41 Succeeded, w=140\",\"Find(1)=1, Find(2)=0, Add (1,2)=45 Succeeded, w=185\",\"Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=185\",\"Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=185\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=185\",\"Find(5)=0, Find(6)=0, Add (5,6)=66 Failed, w=185\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=185\",\"Find(3)=0, Find(6)=0, Add (3,6)=74 Failed, w=185\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=185\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 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],\"edges\":[[0,1,82],[0,2,39],[0,3,36],[0,4,21],[0,5,41],[0,6,3],[1,2,45],[1,4,50],[2,3,56],[2,5,71],[3,5,46],[3,6,74],[4,5,96],[4,6,32],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=3,(0,4)=21,(4,6)=32,(0,3)=36,(0,2)=39,(0,5)=41,(1,2)=45,(3,5)=46,(1,4)=50,(2,3)=56,(5,6)=66,(2,5)=71,(3,6)=74,(0,1)=82,(4,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=32 Failed, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=99\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=41 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=45 Succeeded, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=66 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=74 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=185\",\"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=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,49],[0,2,30],[0,3,97],[0,4,10],[0,5,59],[0,6,13],[1,2,71],[1,3,99],[1,5,32],[1,6,97],[2,3,3],[2,4,79],[2,5,33],[2,6,3],[3,4,48],[3,5,59],[3,6,74],[4,5,37],[4,6,86],[5,6,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,30],[0,3,97],[0,4,10],[0,5,59],[0,6,13],[1,2,71],[1,3,99],[1,5,32],[1,6,97],[2,3,3],[2,4,79],[2,5,33],[2,6,3],[3,4,48],[3,5,59],[3,6,74],[4,5,37],[4,6,86],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,30],[0,3,97],[0,4,10],[0,5,59],[0,6,13],[1,2,71],[1,3,99],[1,5,32],[1,6,97],[2,3,3],[2,4,79],[2,5,33],[2,6,3],[3,4,48],[3,5,59],[3,6,74],[4,5,37],[4,6,86],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (2,5)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,30],[0,3,97],[0,4,10],[0,5,59],[0,6,13],[1,2,71],[1,3,99],[1,5,32],[1,6,97],[2,3,3],[2,4,79],[2,5,33],[2,6,3],[3,4,48],[3,5,59],[3,6,74],[4,5,37],[4,6,86],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (2,6)=3, w=6\",\"Add (0,4)=10, w=16\",\"Add (0,6)=13, w=29\",\"Add (1,5)=32, w=61\",\"Add (2,5)=33, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,30],[0,3,97],[0,4,10],[0,5,59],[0,6,13],[1,2,71],[1,3,99],[1,5,32],[1,6,97],[2,3,3],[2,4,79],[2,5,33],[2,6,3],[3,4,48],[3,5,59],[3,6,74],[4,5,37],[4,6,86],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (2,6)=3 Succeeded, w=6\",\"Add (0,4)=10 Succeeded, w=16\",\"Add (0,6)=13 Succeeded, w=29\",\"Add (0,2)=30 Failed, w=29\",\"Add (1,5)=32 Succeeded, w=61\",\"Add (2,5)=33 Succeeded, w=94\",\"Add (4,5)=37 Failed, w=94\",\"Add (3,4)=48 Failed, w=94\",\"Add (0,1)=49 Failed, w=94\",\"Add (0,5)=59 Failed, w=94\",\"Add (3,5)=59 Failed, w=94\",\"Add (1,2)=71 Failed, w=94\",\"Add (3,6)=74 Failed, w=94\",\"Add (5,6)=75 Failed, w=94\",\"Add (2,4)=79 Failed, w=94\",\"Add (4,6)=86 Failed, w=94\",\"Add (0,3)=97 Failed, w=94\",\"Add (1,6)=97 Failed, w=94\",\"Add (1,3)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,30],[0,3,97],[0,4,10],[0,5,59],[0,6,13],[1,2,71],[1,3,99],[1,5,32],[1,6,97],[2,3,3],[2,4,79],[2,5,33],[2,6,3],[3,4,48],[3,5,59],[3,6,74],[4,5,37],[4,6,86],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(2,6)=3,(0,4)=10,(0,6)=13,(0,2)=30,(1,5)=32,(2,5)=33,(4,5)=37,(3,4)=48,(0,1)=49,(0,5)=59,(3,5)=59,(1,2)=71,(3,6)=74,(5,6)=75,(2,4)=79,(4,6)=86,(0,3)=97,(1,6)=97,(1,3)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=6\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=16\",\"Find(0)=0, Find(6)=2, Add (0,6)=13 Succeeded, w=29\",\"Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=29\",\"Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=61\",\"Find(2)=0, Find(5)=1, Add (2,5)=33 Succeeded, w=94\",\"Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=94\",\"Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=94\",\"Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=94\",\"Find(0)=0, Find(5)=0, Add (0,5)=59 Failed, w=94\",\"Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=94\",\"Find(3)=0, Find(6)=0, Add (3,6)=74 Failed, w=94\",\"Find(5)=0, Find(6)=0, Add (5,6)=75 Failed, w=94\",\"Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=94\",\"Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=94\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=94\",\"Find(1)=0, Find(6)=0, Add (1,6)=97 Failed, w=94\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,30],[0,3,97],[0,4,10],[0,5,59],[0,6,13],[1,2,71],[1,3,99],[1,5,32],[1,6,97],[2,3,3],[2,4,79],[2,5,33],[2,6,3],[3,4,48],[3,5,59],[3,6,74],[4,5,37],[4,6,86],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(2,6)=3,(0,4)=10,(0,6)=13,(0,2)=30,(1,5)=32,(2,5)=33,(4,5)=37,(3,4)=48,(0,1)=49,(0,5)=59,(3,5)=59,(1,2)=71,(3,6)=74,(5,6)=75,(2,4)=79,(4,6)=86,(0,3)=97,(1,6)=97,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 1, 6: 2}, Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 1, 6: 2}, Find(2)=0, Find(5)=1, Add (2,5)=33 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 2}, Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(5)=0, Add (0,5)=59 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=74 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=75 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=97 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,56],[1,2,52],[1,3,67],[2,3,26],[3,4,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,56],[1,2,52],[1,3,67],[2,3,26],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,56],[1,2,52],[1,3,67],[2,3,26],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,56],[1,2,52],[1,3,67],[2,3,26],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26, w=26\",\"Add (1,2)=52, w=78\",\"Add (0,4)=56, w=134\",\"Add (3,4)=69, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,56],[1,2,52],[1,3,67],[2,3,26],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26 Succeeded, w=26\",\"Add (1,2)=52 Succeeded, w=78\",\"Add (0,4)=56 Succeeded, w=134\",\"Add (1,3)=67 Failed, w=134\",\"Add (3,4)=69 Succeeded, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,56],[1,2,52],[1,3,67],[2,3,26],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(1,2)=52,(0,4)=56,(1,3)=67,(3,4)=69]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=52 Succeeded, w=78\",\"Find(0)=0, Find(4)=4, Add (0,4)=56 Succeeded, w=134\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=134\",\"Find(3)=2, Find(4)=0, Add (3,4)=69 Succeeded, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,56],[1,2,52],[1,3,67],[2,3,26],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(1,2)=52,(0,4)=56,(1,3)=67,(3,4)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=52 Succeeded, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=56 Succeeded, w=134\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(3)=2, Find(4)=0, Add (3,4)=69 Succeeded, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,3,69],[1,2,3],[1,3,7],[2,4,72],[3,4,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,69],[1,2,3],[1,3,7],[2,4,72],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,69],[1,2,3],[1,3,7],[2,4,72],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,69],[1,2,3],[1,3,7],[2,4,72],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (1,3)=7, w=10\",\"Add (3,4)=40, w=50\",\"Add (0,1)=65, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,69],[1,2,3],[1,3,7],[2,4,72],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (1,3)=7 Succeeded, w=10\",\"Add (3,4)=40 Succeeded, w=50\",\"Add (0,1)=65 Succeeded, w=115\",\"Add (0,3)=69 Failed, w=115\",\"Add (2,4)=72 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,69],[1,2,3],[1,3,7],[2,4,72],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,3)=7,(3,4)=40,(0,1)=65,(0,3)=69,(2,4)=72]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=10\",\"Find(3)=1, Find(4)=4, Add (3,4)=40 Succeeded, w=50\",\"Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=115\",\"Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=115\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,69],[1,2,3],[1,3,7],[2,4,72],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,3)=7,(3,4)=40,(0,1)=65,(0,3)=69,(2,4)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=40 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,100],[0,3,6],[1,2,24],[2,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,3,6],[1,2,24],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,3,6],[1,2,24],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,3,6],[1,2,24],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (1,2)=24, w=30\",\"Add (2,3)=52, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,3,6],[1,2,24],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,2)=24 Succeeded, w=30\",\"Add (2,3)=52 Succeeded, w=82\",\"Add (0,1)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,3,6],[1,2,24],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,2)=24,(2,3)=52,(0,1)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=30\",\"Find(2)=1, Find(3)=0, Add (2,3)=52 Succeeded, w=82\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,3,6],[1,2,24],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,2)=24,(2,3)=52,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=52 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,26],[0,4,76],[0,5,88],[1,2,58],[1,3,46],[1,5,29],[1,6,85],[2,4,19],[2,5,28],[2,6,35],[3,4,16],[3,5,64],[4,5,12],[4,6,62],[5,6,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,76],[0,5,88],[1,2,58],[1,3,46],[1,5,29],[1,6,85],[2,4,19],[2,5,28],[2,6,35],[3,4,16],[3,5,64],[4,5,12],[4,6,62],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,76],[0,5,88],[1,2,58],[1,3,46],[1,5,29],[1,6,85],[2,4,19],[2,5,28],[2,6,35],[3,4,16],[3,5,64],[4,5,12],[4,6,62],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (5,6)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,76],[0,5,88],[1,2,58],[1,3,46],[1,5,29],[1,6,85],[2,4,19],[2,5,28],[2,6,35],[3,4,16],[3,5,64],[4,5,12],[4,6,62],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=12, w=12\",\"Add (3,4)=16, w=28\",\"Add (2,4)=19, w=47\",\"Add (0,3)=26, w=73\",\"Add (1,5)=29, w=102\",\"Add (5,6)=29, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,76],[0,5,88],[1,2,58],[1,3,46],[1,5,29],[1,6,85],[2,4,19],[2,5,28],[2,6,35],[3,4,16],[3,5,64],[4,5,12],[4,6,62],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=12 Succeeded, w=12\",\"Add (3,4)=16 Succeeded, w=28\",\"Add (2,4)=19 Succeeded, w=47\",\"Add (0,3)=26 Succeeded, w=73\",\"Add (2,5)=28 Failed, w=73\",\"Add (1,5)=29 Succeeded, w=102\",\"Add (5,6)=29 Succeeded, w=131\",\"Add (2,6)=35 Failed, w=131\",\"Add (1,3)=46 Failed, w=131\",\"Add (1,2)=58 Failed, w=131\",\"Add (4,6)=62 Failed, w=131\",\"Add (3,5)=64 Failed, w=131\",\"Add (0,4)=76 Failed, w=131\",\"Add (1,6)=85 Failed, w=131\",\"Add (0,5)=88 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,76],[0,5,88],[1,2,58],[1,3,46],[1,5,29],[1,6,85],[2,4,19],[2,5,28],[2,6,35],[3,4,16],[3,5,64],[4,5,12],[4,6,62],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=12,(3,4)=16,(2,4)=19,(0,3)=26,(2,5)=28,(1,5)=29,(5,6)=29,(2,6)=35,(1,3)=46,(1,2)=58,(4,6)=62,(3,5)=64,(0,4)=76,(1,6)=85,(0,5)=88]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=12\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=28\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=47\",\"Find(0)=0, Find(3)=4, Add (0,3)=26 Succeeded, w=73\",\"Find(2)=4, Find(5)=4, Add (2,5)=28 Failed, w=73\",\"Find(1)=1, Find(5)=4, Add (1,5)=29 Succeeded, w=102\",\"Find(5)=4, Find(6)=6, Add (5,6)=29 Succeeded, w=131\",\"Find(2)=4, Find(6)=4, Add (2,6)=35 Failed, w=131\",\"Find(1)=4, Find(3)=4, Add (1,3)=46 Failed, w=131\",\"Find(1)=4, Find(2)=4, Add (1,2)=58 Failed, w=131\",\"Find(4)=4, Find(6)=4, Add (4,6)=62 Failed, w=131\",\"Find(3)=4, Find(5)=4, Add (3,5)=64 Failed, w=131\",\"Find(0)=4, Find(4)=4, Add (0,4)=76 Failed, w=131\",\"Find(1)=4, Find(6)=4, Add (1,6)=85 Failed, w=131\",\"Find(0)=4, Find(5)=4, Add (0,5)=88 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,76],[0,5,88],[1,2,58],[1,3,46],[1,5,29],[1,6,85],[2,4,19],[2,5,28],[2,6,35],[3,4,16],[3,5,64],[4,5,12],[4,6,62],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=12,(3,4)=16,(2,4)=19,(0,3)=26,(2,5)=28,(1,5)=29,(5,6)=29,(2,6)=35,(1,3)=46,(1,2)=58,(4,6)=62,(3,5)=64,(0,4)=76,(1,6)=85,(0,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=47\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(3)=4, Add (0,3)=26 Succeeded, w=73\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=4, Find(5)=4, Add (2,5)=28 Failed, w=73\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(5)=4, Add (1,5)=29 Succeeded, w=102\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=6, Add (5,6)=29 Succeeded, w=131\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=35 Failed, w=131\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=46 Failed, w=131\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=58 Failed, w=131\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=62 Failed, w=131\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=64 Failed, w=131\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=76 Failed, w=131\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=85 Failed, w=131\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=88 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,3,21],[0,5,46],[0,6,99],[1,2,66],[1,3,45],[1,6,85],[2,3,35],[2,4,94],[2,6,37],[3,6,14],[4,5,60],[4,6,94],[5,6,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,3,21],[0,5,46],[0,6,99],[1,2,66],[1,3,45],[1,6,85],[2,3,35],[2,4,94],[2,6,37],[3,6,14],[4,5,60],[4,6,94],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,3,21],[0,5,46],[0,6,99],[1,2,66],[1,3,45],[1,6,85],[2,3,35],[2,4,94],[2,6,37],[3,6,14],[4,5,60],[4,6,94],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,3)\",\"Add (5,6)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (4,5)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,3,21],[0,5,46],[0,6,99],[1,2,66],[1,3,45],[1,6,85],[2,3,35],[2,4,94],[2,6,37],[3,6,14],[4,5,60],[4,6,94],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=14, w=14\",\"Add (0,3)=21, w=35\",\"Add (5,6)=30, w=65\",\"Add (2,3)=35, w=100\",\"Add (0,1)=40, w=140\",\"Add (4,5)=60, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,3,21],[0,5,46],[0,6,99],[1,2,66],[1,3,45],[1,6,85],[2,3,35],[2,4,94],[2,6,37],[3,6,14],[4,5,60],[4,6,94],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=14 Succeeded, w=14\",\"Add (0,3)=21 Succeeded, w=35\",\"Add (5,6)=30 Succeeded, w=65\",\"Add (2,3)=35 Succeeded, w=100\",\"Add (2,6)=37 Failed, w=100\",\"Add (0,1)=40 Succeeded, w=140\",\"Add (1,3)=45 Failed, w=140\",\"Add (0,5)=46 Failed, w=140\",\"Add (4,5)=60 Succeeded, w=200\",\"Add (1,2)=66 Failed, w=200\",\"Add (1,6)=85 Failed, w=200\",\"Add (2,4)=94 Failed, w=200\",\"Add (4,6)=94 Failed, w=200\",\"Add (0,6)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,3,21],[0,5,46],[0,6,99],[1,2,66],[1,3,45],[1,6,85],[2,3,35],[2,4,94],[2,6,37],[3,6,14],[4,5,60],[4,6,94],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=14,(0,3)=21,(5,6)=30,(2,3)=35,(2,6)=37,(0,1)=40,(1,3)=45,(0,5)=46,(4,5)=60,(1,2)=66,(1,6)=85,(2,4)=94,(4,6)=94,(0,6)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=35\",\"Find(5)=5, Find(6)=3, Add (5,6)=30 Succeeded, w=65\",\"Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=100\",\"Find(2)=3, Find(6)=3, Add (2,6)=37 Failed, w=100\",\"Find(0)=3, Find(1)=1, Add (0,1)=40 Succeeded, w=140\",\"Find(1)=3, Find(3)=3, Add (1,3)=45 Failed, w=140\",\"Find(0)=3, Find(5)=3, Add (0,5)=46 Failed, w=140\",\"Find(4)=4, Find(5)=3, Add (4,5)=60 Succeeded, w=200\",\"Find(1)=3, Find(2)=3, Add (1,2)=66 Failed, w=200\",\"Find(1)=3, Find(6)=3, Add (1,6)=85 Failed, w=200\",\"Find(2)=3, Find(4)=3, Add (2,4)=94 Failed, w=200\",\"Find(4)=3, Find(6)=3, Add (4,6)=94 Failed, w=200\",\"Find(0)=3, Find(6)=3, Add (0,6)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,3,21],[0,5,46],[0,6,99],[1,2,66],[1,3,45],[1,6,85],[2,3,35],[2,4,94],[2,6,37],[3,6,14],[4,5,60],[4,6,94],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=14,(0,3)=21,(5,6)=30,(2,3)=35,(2,6)=37,(0,1)=40,(1,3)=45,(0,5)=46,(4,5)=60,(1,2)=66,(1,6)=85,(2,4)=94,(4,6)=94,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=14\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=35\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=30 Succeeded, w=65\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=100\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=37 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=3, Find(1)=1, Add (0,1)=40 Succeeded, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=45 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=46 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=4, Find(5)=3, Add (4,5)=60 Succeeded, w=200\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=66 Failed, w=200\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=85 Failed, w=200\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=94 Failed, w=200\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=94 Failed, w=200\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,25],[0,4,38],[0,5,92],[1,2,64],[1,3,8],[1,4,1],[1,6,35],[2,3,46],[2,6,76],[3,4,60],[5,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,25],[0,4,38],[0,5,92],[1,2,64],[1,3,8],[1,4,1],[1,6,35],[2,3,46],[2,6,76],[3,4,60],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,25],[0,4,38],[0,5,92],[1,2,64],[1,3,8],[1,4,1],[1,6,35],[2,3,46],[2,6,76],[3,4,60],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (0,4)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,25],[0,4,38],[0,5,92],[1,2,64],[1,3,8],[1,4,1],[1,6,35],[2,3,46],[2,6,76],[3,4,60],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (1,3)=8, w=9\",\"Add (5,6)=12, w=21\",\"Add (0,2)=25, w=46\",\"Add (1,6)=35, w=81\",\"Add (0,4)=38, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,25],[0,4,38],[0,5,92],[1,2,64],[1,3,8],[1,4,1],[1,6,35],[2,3,46],[2,6,76],[3,4,60],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (1,3)=8 Succeeded, w=9\",\"Add (5,6)=12 Succeeded, w=21\",\"Add (0,2)=25 Succeeded, w=46\",\"Add (1,6)=35 Succeeded, w=81\",\"Add (0,4)=38 Succeeded, w=119\",\"Add (2,3)=46 Failed, w=119\",\"Add (3,4)=60 Failed, w=119\",\"Add (1,2)=64 Failed, w=119\",\"Add (2,6)=76 Failed, w=119\",\"Add (0,5)=92 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,25],[0,4,38],[0,5,92],[1,2,64],[1,3,8],[1,4,1],[1,6,35],[2,3,46],[2,6,76],[3,4,60],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(1,3)=8,(5,6)=12,(0,2)=25,(1,6)=35,(0,4)=38,(2,3)=46,(3,4)=60,(1,2)=64,(2,6)=76,(0,5)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=9\",\"Find(5)=5, Find(6)=6, Add (5,6)=12 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=46\",\"Find(1)=1, Find(6)=5, Add (1,6)=35 Succeeded, w=81\",\"Find(0)=0, Find(4)=1, Add (0,4)=38 Succeeded, w=119\",\"Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=119\",\"Find(3)=1, Find(4)=1, Add (3,4)=60 Failed, w=119\",\"Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=119\",\"Find(2)=1, Find(6)=1, Add (2,6)=76 Failed, w=119\",\"Find(0)=1, Find(5)=1, Add (0,5)=92 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,25],[0,4,38],[0,5,92],[1,2,64],[1,3,8],[1,4,1],[1,6,35],[2,3,46],[2,6,76],[3,4,60],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(1,3)=8,(5,6)=12,(0,2)=25,(1,6)=35,(0,4)=38,(2,3)=46,(3,4)=60,(1,2)=64,(2,6)=76,(0,5)=92]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=35 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 5}, Find(0)=0, Find(4)=1, Add (0,4)=38 Succeeded, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(3)=1, Find(4)=1, Add (3,4)=60 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=76 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=92 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,47],[0,2,59],[0,4,16],[0,5,10],[1,2,61],[1,3,49],[2,3,42],[2,4,19],[2,5,22],[3,4,93],[4,5,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,59],[0,4,16],[0,5,10],[1,2,61],[1,3,49],[2,3,42],[2,4,19],[2,5,22],[3,4,93],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,59],[0,4,16],[0,5,10],[1,2,61],[1,3,49],[2,3,42],[2,4,19],[2,5,22],[3,4,93],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,59],[0,4,16],[0,5,10],[1,2,61],[1,3,49],[2,3,42],[2,4,19],[2,5,22],[3,4,93],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=10, w=10\",\"Add (0,4)=16, w=26\",\"Add (2,4)=19, w=45\",\"Add (2,3)=42, w=87\",\"Add (0,1)=47, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,59],[0,4,16],[0,5,10],[1,2,61],[1,3,49],[2,3,42],[2,4,19],[2,5,22],[3,4,93],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=10 Succeeded, w=10\",\"Add (0,4)=16 Succeeded, w=26\",\"Add (2,4)=19 Succeeded, w=45\",\"Add (2,5)=22 Failed, w=45\",\"Add (2,3)=42 Succeeded, w=87\",\"Add (0,1)=47 Succeeded, w=134\",\"Add (1,3)=49 Failed, w=134\",\"Add (4,5)=51 Failed, w=134\",\"Add (0,2)=59 Failed, w=134\",\"Add (1,2)=61 Failed, w=134\",\"Add (3,4)=93 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,59],[0,4,16],[0,5,10],[1,2,61],[1,3,49],[2,3,42],[2,4,19],[2,5,22],[3,4,93],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=10,(0,4)=16,(2,4)=19,(2,5)=22,(2,3)=42,(0,1)=47,(1,3)=49,(4,5)=51,(0,2)=59,(1,2)=61,(3,4)=93]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=26\",\"Find(2)=2, Find(4)=0, Add (2,4)=19 Succeeded, w=45\",\"Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=45\",\"Find(2)=0, Find(3)=3, Add (2,3)=42 Succeeded, w=87\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=134\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=134\",\"Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=134\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=134\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=134\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,59],[0,4,16],[0,5,10],[1,2,61],[1,3,49],[2,3,42],[2,4,19],[2,5,22],[3,4,93],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=10,(0,4)=16,(2,4)=19,(2,5)=22,(2,3)=42,(0,1)=47,(1,3)=49,(4,5)=51,(0,2)=59,(1,2)=61,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=19 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=42 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,2,27],[0,3,20],[0,4,59],[0,5,4],[0,6,57],[0,7,77],[1,2,86],[1,3,50],[1,4,8],[1,5,71],[1,6,15],[1,7,25],[2,3,68],[2,4,14],[2,5,37],[2,6,31],[2,7,76],[3,5,47],[3,6,24],[4,5,88],[4,7,61],[5,6,35],[5,7,58],[6,7,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,27],[0,3,20],[0,4,59],[0,5,4],[0,6,57],[0,7,77],[1,2,86],[1,3,50],[1,4,8],[1,5,71],[1,6,15],[1,7,25],[2,3,68],[2,4,14],[2,5,37],[2,6,31],[2,7,76],[3,5,47],[3,6,24],[4,5,88],[4,7,61],[5,6,35],[5,7,58],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,27],[0,3,20],[0,4,59],[0,5,4],[0,6,57],[0,7,77],[1,2,86],[1,3,50],[1,4,8],[1,5,71],[1,6,15],[1,7,25],[2,3,68],[2,4,14],[2,5,37],[2,6,31],[2,7,76],[3,5,47],[3,6,24],[4,5,88],[4,7,61],[5,6,35],[5,7,58],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (1,7)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,27],[0,3,20],[0,4,59],[0,5,4],[0,6,57],[0,7,77],[1,2,86],[1,3,50],[1,4,8],[1,5,71],[1,6,15],[1,7,25],[2,3,68],[2,4,14],[2,5,37],[2,6,31],[2,7,76],[3,5,47],[3,6,24],[4,5,88],[4,7,61],[5,6,35],[5,7,58],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4, w=4\",\"Add (1,4)=8, w=12\",\"Add (2,4)=14, w=26\",\"Add (1,6)=15, w=41\",\"Add (0,3)=20, w=61\",\"Add (3,6)=24, w=85\",\"Add (1,7)=25, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,27],[0,3,20],[0,4,59],[0,5,4],[0,6,57],[0,7,77],[1,2,86],[1,3,50],[1,4,8],[1,5,71],[1,6,15],[1,7,25],[2,3,68],[2,4,14],[2,5,37],[2,6,31],[2,7,76],[3,5,47],[3,6,24],[4,5,88],[4,7,61],[5,6,35],[5,7,58],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4 Succeeded, w=4\",\"Add (1,4)=8 Succeeded, w=12\",\"Add (2,4)=14 Succeeded, w=26\",\"Add (1,6)=15 Succeeded, w=41\",\"Add (0,3)=20 Succeeded, w=61\",\"Add (3,6)=24 Succeeded, w=85\",\"Add (1,7)=25 Succeeded, w=110\",\"Add (0,1)=26 Failed, w=110\",\"Add (0,2)=27 Failed, w=110\",\"Add (2,6)=31 Failed, w=110\",\"Add (5,6)=35 Failed, w=110\",\"Add (2,5)=37 Failed, w=110\",\"Add (3,5)=47 Failed, w=110\",\"Add (1,3)=50 Failed, w=110\",\"Add (6,7)=56 Failed, w=110\",\"Add (0,6)=57 Failed, w=110\",\"Add (5,7)=58 Failed, w=110\",\"Add (0,4)=59 Failed, w=110\",\"Add (4,7)=61 Failed, w=110\",\"Add (2,3)=68 Failed, w=110\",\"Add (1,5)=71 Failed, w=110\",\"Add (2,7)=76 Failed, w=110\",\"Add (0,7)=77 Failed, w=110\",\"Add (1,2)=86 Failed, w=110\",\"Add (4,5)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,27],[0,3,20],[0,4,59],[0,5,4],[0,6,57],[0,7,77],[1,2,86],[1,3,50],[1,4,8],[1,5,71],[1,6,15],[1,7,25],[2,3,68],[2,4,14],[2,5,37],[2,6,31],[2,7,76],[3,5,47],[3,6,24],[4,5,88],[4,7,61],[5,6,35],[5,7,58],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(1,4)=8,(2,4)=14,(1,6)=15,(0,3)=20,(3,6)=24,(1,7)=25,(0,1)=26,(0,2)=27,(2,6)=31,(5,6)=35,(2,5)=37,(3,5)=47,(1,3)=50,(6,7)=56,(0,6)=57,(5,7)=58,(0,4)=59,(4,7)=61,(2,3)=68,(1,5)=71,(2,7)=76,(0,7)=77,(1,2)=86,(4,5)=88]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=12\",\"Find(2)=2, Find(4)=1, Add (2,4)=14 Succeeded, w=26\",\"Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=41\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=61\",\"Find(3)=0, Find(6)=1, Add (3,6)=24 Succeeded, w=85\",\"Find(1)=0, Find(7)=7, Add (1,7)=25 Succeeded, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=26 Failed, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=27 Failed, w=110\",\"Find(2)=0, Find(6)=0, Add (2,6)=31 Failed, w=110\",\"Find(5)=0, Find(6)=0, Add (5,6)=35 Failed, w=110\",\"Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=110\",\"Find(6)=0, Find(7)=0, Add (6,7)=56 Failed, w=110\",\"Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=110\",\"Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=110\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=110\",\"Find(4)=0, Find(7)=0, Add (4,7)=61 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=110\",\"Find(2)=0, Find(7)=0, Add (2,7)=76 Failed, w=110\",\"Find(0)=0, Find(7)=0, Add (0,7)=77 Failed, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,27],[0,3,20],[0,4,59],[0,5,4],[0,6,57],[0,7,77],[1,2,86],[1,3,50],[1,4,8],[1,5,71],[1,6,15],[1,7,25],[2,3,68],[2,4,14],[2,5,37],[2,6,31],[2,7,76],[3,5,47],[3,6,24],[4,5,88],[4,7,61],[5,6,35],[5,7,58],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(1,4)=8,(2,4)=14,(1,6)=15,(0,3)=20,(3,6)=24,(1,7)=25,(0,1)=26,(0,2)=27,(2,6)=31,(5,6)=35,(2,5)=37,(3,5)=47,(1,3)=50,(6,7)=56,(0,6)=57,(5,7)=58,(0,4)=59,(4,7)=61,(2,3)=68,(1,5)=71,(2,7)=76,(0,7)=77,(1,2)=86,(4,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 6, 7: 7}, Find(2)=2, Find(4)=1, Add (2,4)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 1, 7: 7}, Find(3)=0, Find(6)=1, Add (3,6)=24 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=25 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=26 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=27 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=31 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=35 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=56 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=110\",\"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)=59 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=61 Failed, w=110\",\"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)=68 Failed, w=110\",\"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)=71 Failed, w=110\",\"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)=76 Failed, w=110\",\"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)=77 Failed, w=110\",\"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)=86 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,9],[0,2,73],[0,3,61],[0,4,80],[0,5,25],[1,2,77],[1,3,31],[1,4,22],[1,5,11],[2,3,44],[2,4,72],[2,5,54],[3,4,3],[3,5,28],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,2,73],[0,3,61],[0,4,80],[0,5,25],[1,2,77],[1,3,31],[1,4,22],[1,5,11],[2,3,44],[2,4,72],[2,5,54],[3,4,3],[3,5,28],[4,5,31]]}",
"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\":[[0,1,9],[0,2,73],[0,3,61],[0,4,80],[0,5,25],[1,2,77],[1,3,31],[1,4,22],[1,5,11],[2,3,44],[2,4,72],[2,5,54],[3,4,3],[3,5,28],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,2,73],[0,3,61],[0,4,80],[0,5,25],[1,2,77],[1,3,31],[1,4,22],[1,5,11],[2,3,44],[2,4,72],[2,5,54],[3,4,3],[3,5,28],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (0,1)=9, w=12\",\"Add (1,5)=11, w=23\",\"Add (1,4)=22, w=45\",\"Add (2,3)=44, 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\":[[0,1,9],[0,2,73],[0,3,61],[0,4,80],[0,5,25],[1,2,77],[1,3,31],[1,4,22],[1,5,11],[2,3,44],[2,4,72],[2,5,54],[3,4,3],[3,5,28],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (0,1)=9 Succeeded, w=12\",\"Add (1,5)=11 Succeeded, w=23\",\"Add (1,4)=22 Succeeded, w=45\",\"Add (0,5)=25 Failed, w=45\",\"Add (3,5)=28 Failed, w=45\",\"Add (1,3)=31 Failed, w=45\",\"Add (4,5)=31 Failed, w=45\",\"Add (2,3)=44 Succeeded, w=89\",\"Add (2,5)=54 Failed, w=89\",\"Add (0,3)=61 Failed, w=89\",\"Add (2,4)=72 Failed, w=89\",\"Add (0,2)=73 Failed, w=89\",\"Add (1,2)=77 Failed, w=89\",\"Add (0,4)=80 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\":[[0,1,9],[0,2,73],[0,3,61],[0,4,80],[0,5,25],[1,2,77],[1,3,31],[1,4,22],[1,5,11],[2,3,44],[2,4,72],[2,5,54],[3,4,3],[3,5,28],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,1)=9,(1,5)=11,(1,4)=22,(0,5)=25,(3,5)=28,(1,3)=31,(4,5)=31,(2,3)=44,(2,5)=54,(0,3)=61,(2,4)=72,(0,2)=73,(1,2)=77,(0,4)=80]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=12\",\"Find(1)=0, Find(5)=5, Add (1,5)=11 Succeeded, w=23\",\"Find(1)=0, Find(4)=3, Add (1,4)=22 Succeeded, w=45\",\"Find(0)=0, Find(5)=0, Add (0,5)=25 Failed, w=45\",\"Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=45\",\"Find(1)=0, Find(3)=0, Add (1,3)=31 Failed, w=45\",\"Find(4)=0, Find(5)=0, Add (4,5)=31 Failed, w=45\",\"Find(2)=2, Find(3)=0, Add (2,3)=44 Succeeded, w=89\",\"Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=89\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=89\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=89\",\"Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=89\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=89\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 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\":[[0,1,9],[0,2,73],[0,3,61],[0,4,80],[0,5,25],[1,2,77],[1,3,31],[1,4,22],[1,5,11],[2,3,44],[2,4,72],[2,5,54],[3,4,3],[3,5,28],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,1)=9,(1,5)=11,(1,4)=22,(0,5)=25,(3,5)=28,(1,3)=31,(4,5)=31,(2,3)=44,(2,5)=54,(0,3)=61,(2,4)=72,(0,2)=73,(1,2)=77,(0,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(4)=3, Add (1,4)=22 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=25 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=31 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=31 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=44 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,12],[0,2,60],[0,3,64],[0,4,48],[0,5,95],[0,6,88],[0,7,10],[1,2,60],[1,4,33],[1,5,93],[2,3,99],[2,4,27],[2,5,32],[2,7,31],[3,5,89],[3,6,35],[4,5,91],[4,6,85],[5,6,5],[5,7,49],[6,7,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,60],[0,3,64],[0,4,48],[0,5,95],[0,6,88],[0,7,10],[1,2,60],[1,4,33],[1,5,93],[2,3,99],[2,4,27],[2,5,32],[2,7,31],[3,5,89],[3,6,35],[4,5,91],[4,6,85],[5,6,5],[5,7,49],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,60],[0,3,64],[0,4,48],[0,5,95],[0,6,88],[0,7,10],[1,2,60],[1,4,33],[1,5,93],[2,3,99],[2,4,27],[2,5,32],[2,7,31],[3,5,89],[3,6,35],[4,5,91],[4,6,85],[5,6,5],[5,7,49],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,7)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (2,7)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,60],[0,3,64],[0,4,48],[0,5,95],[0,6,88],[0,7,10],[1,2,60],[1,4,33],[1,5,93],[2,3,99],[2,4,27],[2,5,32],[2,7,31],[3,5,89],[3,6,35],[4,5,91],[4,6,85],[5,6,5],[5,7,49],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=5, w=5\",\"Add (0,7)=10, w=15\",\"Add (0,1)=12, w=27\",\"Add (2,4)=27, w=54\",\"Add (2,7)=31, w=85\",\"Add (2,5)=32, w=117\",\"Add (3,6)=35, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,60],[0,3,64],[0,4,48],[0,5,95],[0,6,88],[0,7,10],[1,2,60],[1,4,33],[1,5,93],[2,3,99],[2,4,27],[2,5,32],[2,7,31],[3,5,89],[3,6,35],[4,5,91],[4,6,85],[5,6,5],[5,7,49],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=5 Succeeded, w=5\",\"Add (0,7)=10 Succeeded, w=15\",\"Add (0,1)=12 Succeeded, w=27\",\"Add (2,4)=27 Succeeded, w=54\",\"Add (2,7)=31 Succeeded, w=85\",\"Add (2,5)=32 Succeeded, w=117\",\"Add (1,4)=33 Failed, w=117\",\"Add (3,6)=35 Succeeded, w=152\",\"Add (6,7)=38 Failed, w=152\",\"Add (0,4)=48 Failed, w=152\",\"Add (5,7)=49 Failed, w=152\",\"Add (0,2)=60 Failed, w=152\",\"Add (1,2)=60 Failed, w=152\",\"Add (0,3)=64 Failed, w=152\",\"Add (4,6)=85 Failed, w=152\",\"Add (0,6)=88 Failed, w=152\",\"Add (3,5)=89 Failed, w=152\",\"Add (4,5)=91 Failed, w=152\",\"Add (1,5)=93 Failed, w=152\",\"Add (0,5)=95 Failed, w=152\",\"Add (2,3)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,60],[0,3,64],[0,4,48],[0,5,95],[0,6,88],[0,7,10],[1,2,60],[1,4,33],[1,5,93],[2,3,99],[2,4,27],[2,5,32],[2,7,31],[3,5,89],[3,6,35],[4,5,91],[4,6,85],[5,6,5],[5,7,49],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=5,(0,7)=10,(0,1)=12,(2,4)=27,(2,7)=31,(2,5)=32,(1,4)=33,(3,6)=35,(6,7)=38,(0,4)=48,(5,7)=49,(0,2)=60,(1,2)=60,(0,3)=64,(4,6)=85,(0,6)=88,(3,5)=89,(4,5)=91,(1,5)=93,(0,5)=95,(2,3)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(7)=7, Add (0,7)=10 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=27\",\"Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=54\",\"Find(2)=2, Find(7)=0, Add (2,7)=31 Succeeded, w=85\",\"Find(2)=2, Find(5)=5, Add (2,5)=32 Succeeded, w=117\",\"Find(1)=2, Find(4)=2, Add (1,4)=33 Failed, w=117\",\"Find(3)=3, Find(6)=2, Add (3,6)=35 Succeeded, w=152\",\"Find(6)=2, Find(7)=2, Add (6,7)=38 Failed, w=152\",\"Find(0)=2, Find(4)=2, Add (0,4)=48 Failed, w=152\",\"Find(5)=2, Find(7)=2, Add (5,7)=49 Failed, w=152\",\"Find(0)=2, Find(2)=2, Add (0,2)=60 Failed, w=152\",\"Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=152\",\"Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=152\",\"Find(4)=2, Find(6)=2, Add (4,6)=85 Failed, w=152\",\"Find(0)=2, Find(6)=2, Add (0,6)=88 Failed, w=152\",\"Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=152\",\"Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=152\",\"Find(1)=2, Find(5)=2, Add (1,5)=93 Failed, w=152\",\"Find(0)=2, Find(5)=2, Add (0,5)=95 Failed, w=152\",\"Find(2)=2, Find(3)=2, Add (2,3)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,60],[0,3,64],[0,4,48],[0,5,95],[0,6,88],[0,7,10],[1,2,60],[1,4,33],[1,5,93],[2,3,99],[2,4,27],[2,5,32],[2,7,31],[3,5,89],[3,6,35],[4,5,91],[4,6,85],[5,6,5],[5,7,49],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=5,(0,7)=10,(0,1)=12,(2,4)=27,(2,7)=31,(2,5)=32,(1,4)=33,(3,6)=35,(6,7)=38,(0,4)=48,(5,7)=49,(0,2)=60,(1,2)=60,(0,3)=64,(4,6)=85,(0,6)=88,(3,5)=89,(4,5)=91,(1,5)=93,(0,5)=95,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=54\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=31 Succeeded, w=85\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 5, 7: 0}, Find(2)=2, Find(5)=5, Add (2,5)=32 Succeeded, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 5, 7: 0}, Find(1)=2, Find(4)=2, Add (1,4)=33 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(3)=3, Find(6)=2, Add (3,6)=35 Succeeded, w=152\",\"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)=38 Failed, w=152\",\"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)=48 Failed, w=152\",\"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)=49 Failed, w=152\",\"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)=60 Failed, w=152\",\"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)=60 Failed, w=152\",\"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)=64 Failed, w=152\",\"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)=85 Failed, w=152\",\"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)=88 Failed, w=152\",\"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)=89 Failed, w=152\",\"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)=91 Failed, w=152\",\"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)=93 Failed, w=152\",\"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)=95 Failed, w=152\",\"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)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,9],[0,2,83],[0,3,93],[2,3,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,83],[0,3,93],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,83],[0,3,93],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,83],[0,3,93],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (0,2)=83, w=92\",\"Add (0,3)=93, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,83],[0,3,93],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (0,2)=83 Succeeded, w=92\",\"Add (0,3)=93 Succeeded, w=185\",\"Add (2,3)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,83],[0,3,93],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=83,(0,3)=93,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=83 Succeeded, w=92\",\"Find(0)=0, Find(3)=3, Add (0,3)=93 Succeeded, w=185\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,83],[0,3,93],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=83,(0,3)=93,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=83 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=93 Succeeded, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,89],[0,3,19],[0,4,28],[0,5,8],[0,6,27],[1,2,41],[1,3,81],[1,4,32],[1,5,51],[1,6,66],[2,3,93],[2,4,35],[2,5,89],[2,6,81],[3,4,93],[3,5,53],[3,6,63],[4,5,91],[4,6,61],[5,6,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,89],[0,3,19],[0,4,28],[0,5,8],[0,6,27],[1,2,41],[1,3,81],[1,4,32],[1,5,51],[1,6,66],[2,3,93],[2,4,35],[2,5,89],[2,6,81],[3,4,93],[3,5,53],[3,6,63],[4,5,91],[4,6,61],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,89],[0,3,19],[0,4,28],[0,5,8],[0,6,27],[1,2,41],[1,3,81],[1,4,32],[1,5,51],[1,6,66],[2,3,93],[2,4,35],[2,5,89],[2,6,81],[3,4,93],[3,5,53],[3,6,63],[4,5,91],[4,6,61],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,89],[0,3,19],[0,4,28],[0,5,8],[0,6,27],[1,2,41],[1,3,81],[1,4,32],[1,5,51],[1,6,66],[2,3,93],[2,4,35],[2,5,89],[2,6,81],[3,4,93],[3,5,53],[3,6,63],[4,5,91],[4,6,61],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8, w=8\",\"Add (0,3)=19, w=27\",\"Add (0,6)=27, w=54\",\"Add (0,4)=28, w=82\",\"Add (1,4)=32, w=114\",\"Add (2,4)=35, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,89],[0,3,19],[0,4,28],[0,5,8],[0,6,27],[1,2,41],[1,3,81],[1,4,32],[1,5,51],[1,6,66],[2,3,93],[2,4,35],[2,5,89],[2,6,81],[3,4,93],[3,5,53],[3,6,63],[4,5,91],[4,6,61],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8 Succeeded, w=8\",\"Add (0,3)=19 Succeeded, w=27\",\"Add (0,6)=27 Succeeded, w=54\",\"Add (0,4)=28 Succeeded, w=82\",\"Add (1,4)=32 Succeeded, w=114\",\"Add (2,4)=35 Succeeded, w=149\",\"Add (5,6)=39 Failed, w=149\",\"Add (1,2)=41 Failed, w=149\",\"Add (1,5)=51 Failed, w=149\",\"Add (3,5)=53 Failed, w=149\",\"Add (4,6)=61 Failed, w=149\",\"Add (3,6)=63 Failed, w=149\",\"Add (1,6)=66 Failed, w=149\",\"Add (1,3)=81 Failed, w=149\",\"Add (2,6)=81 Failed, w=149\",\"Add (0,2)=89 Failed, w=149\",\"Add (2,5)=89 Failed, w=149\",\"Add (4,5)=91 Failed, w=149\",\"Add (2,3)=93 Failed, w=149\",\"Add (3,4)=93 Failed, w=149\",\"Add (0,1)=94 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,89],[0,3,19],[0,4,28],[0,5,8],[0,6,27],[1,2,41],[1,3,81],[1,4,32],[1,5,51],[1,6,66],[2,3,93],[2,4,35],[2,5,89],[2,6,81],[3,4,93],[3,5,53],[3,6,63],[4,5,91],[4,6,61],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(0,3)=19,(0,6)=27,(0,4)=28,(1,4)=32,(2,4)=35,(5,6)=39,(1,2)=41,(1,5)=51,(3,5)=53,(4,6)=61,(3,6)=63,(1,6)=66,(1,3)=81,(2,6)=81,(0,2)=89,(2,5)=89,(4,5)=91,(2,3)=93,(3,4)=93,(0,1)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=27\",\"Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=54\",\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=82\",\"Find(1)=1, Find(4)=0, Add (1,4)=32 Succeeded, w=114\",\"Find(2)=2, Find(4)=0, Add (2,4)=35 Succeeded, w=149\",\"Find(5)=0, Find(6)=0, Add (5,6)=39 Failed, w=149\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=149\",\"Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=149\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=149\",\"Find(4)=0, Find(6)=0, Add (4,6)=61 Failed, w=149\",\"Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=149\",\"Find(1)=0, Find(6)=0, Add (1,6)=66 Failed, w=149\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=149\",\"Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=149\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=149\",\"Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=149\",\"Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=149\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=149\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,89],[0,3,19],[0,4,28],[0,5,8],[0,6,27],[1,2,41],[1,3,81],[1,4,32],[1,5,51],[1,6,66],[2,3,93],[2,4,35],[2,5,89],[2,6,81],[3,4,93],[3,5,53],[3,6,63],[4,5,91],[4,6,61],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(0,3)=19,(0,6)=27,(0,4)=28,(1,4)=32,(2,4)=35,(5,6)=39,(1,2)=41,(1,5)=51,(3,5)=53,(4,6)=61,(3,6)=63,(1,6)=66,(1,3)=81,(2,6)=81,(0,2)=89,(2,5)=89,(4,5)=91,(2,3)=93,(3,4)=93,(0,1)=94]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=32 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=35 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=39 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=61 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=66 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,2,5],[0,3,4],[0,4,85],[0,5,52],[1,2,18],[1,3,97],[1,4,70],[1,5,63],[2,4,8],[2,5,13],[3,4,34],[3,5,99],[4,5,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,5],[0,3,4],[0,4,85],[0,5,52],[1,2,18],[1,3,97],[1,4,70],[1,5,63],[2,4,8],[2,5,13],[3,4,34],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,5],[0,3,4],[0,4,85],[0,5,52],[1,2,18],[1,3,97],[1,4,70],[1,5,63],[2,4,8],[2,5,13],[3,4,34],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,5],[0,3,4],[0,4,85],[0,5,52],[1,2,18],[1,3,97],[1,4,70],[1,5,63],[2,4,8],[2,5,13],[3,4,34],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (0,2)=5, w=9\",\"Add (2,4)=8, w=17\",\"Add (4,5)=10, w=27\",\"Add (1,2)=18, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,5],[0,3,4],[0,4,85],[0,5,52],[1,2,18],[1,3,97],[1,4,70],[1,5,63],[2,4,8],[2,5,13],[3,4,34],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (0,2)=5 Succeeded, w=9\",\"Add (2,4)=8 Succeeded, w=17\",\"Add (4,5)=10 Succeeded, w=27\",\"Add (2,5)=13 Failed, w=27\",\"Add (1,2)=18 Succeeded, w=45\",\"Add (3,4)=34 Failed, w=45\",\"Add (0,5)=52 Failed, w=45\",\"Add (0,1)=60 Failed, w=45\",\"Add (1,5)=63 Failed, w=45\",\"Add (1,4)=70 Failed, w=45\",\"Add (0,4)=85 Failed, w=45\",\"Add (1,3)=97 Failed, w=45\",\"Add (3,5)=99 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,5],[0,3,4],[0,4,85],[0,5,52],[1,2,18],[1,3,97],[1,4,70],[1,5,63],[2,4,8],[2,5,13],[3,4,34],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,2)=5,(2,4)=8,(4,5)=10,(2,5)=13,(1,2)=18,(3,4)=34,(0,5)=52,(0,1)=60,(1,5)=63,(1,4)=70,(0,4)=85,(1,3)=97,(3,5)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=9\",\"Find(2)=0, Find(4)=4, Add (2,4)=8 Succeeded, w=17\",\"Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=27\",\"Find(2)=0, Find(5)=0, Add (2,5)=13 Failed, w=27\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=45\",\"Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=45\",\"Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=45\",\"Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=45\",\"Find(1)=0, Find(5)=0, Add (1,5)=63 Failed, w=45\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=45\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=45\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=45\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,5],[0,3,4],[0,4,85],[0,5,52],[1,2,18],[1,3,97],[1,4,70],[1,5,63],[2,4,8],[2,5,13],[3,4,34],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,2)=5,(2,4)=8,(4,5)=10,(2,5)=13,(1,2)=18,(3,4)=34,(0,5)=52,(0,1)=60,(1,5)=63,(1,4)=70,(0,4)=85,(1,3)=97,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(4)=4, Add (2,4)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=13 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=63 Failed, w=45\",\"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=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,2,61],[0,3,97],[0,4,32],[1,2,87],[1,3,83],[1,4,3],[2,3,7],[2,4,43],[3,4,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,61],[0,3,97],[0,4,32],[1,2,87],[1,3,83],[1,4,3],[2,3,7],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,61],[0,3,97],[0,4,32],[1,2,87],[1,3,83],[1,4,3],[2,3,7],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,61],[0,3,97],[0,4,32],[1,2,87],[1,3,83],[1,4,3],[2,3,7],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (2,3)=7, w=10\",\"Add (0,4)=32, w=42\",\"Add (2,4)=43, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,61],[0,3,97],[0,4,32],[1,2,87],[1,3,83],[1,4,3],[2,3,7],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (2,3)=7 Succeeded, w=10\",\"Add (0,4)=32 Succeeded, w=42\",\"Add (2,4)=43 Succeeded, w=85\",\"Add (0,2)=61 Failed, w=85\",\"Add (1,3)=83 Failed, w=85\",\"Add (0,1)=86 Failed, w=85\",\"Add (1,2)=87 Failed, w=85\",\"Add (3,4)=87 Failed, w=85\",\"Add (0,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,61],[0,3,97],[0,4,32],[1,2,87],[1,3,83],[1,4,3],[2,3,7],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(2,3)=7,(0,4)=32,(2,4)=43,(0,2)=61,(1,3)=83,(0,1)=86,(1,2)=87,(3,4)=87,(0,3)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=10\",\"Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=42\",\"Find(2)=2, Find(4)=1, Add (2,4)=43 Succeeded, w=85\",\"Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=85\",\"Find(1)=2, Find(3)=2, Add (1,3)=83 Failed, w=85\",\"Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=85\",\"Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=85\",\"Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=85\",\"Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,61],[0,3,97],[0,4,32],[1,2,87],[1,3,83],[1,4,3],[2,3,7],[2,4,43],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(2,3)=7,(0,4)=32,(2,4)=43,(0,2)=61,(1,3)=83,(0,1)=86,(1,2)=87,(3,4)=87,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=42\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=43 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(3)=2, Add (1,3)=83 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,37],[0,4,72],[0,7,35],[1,2,66],[1,5,90],[1,7,62],[2,3,71],[2,6,15],[2,7,47],[3,4,61],[4,5,76],[4,6,21],[4,7,51],[5,7,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,37],[0,4,72],[0,7,35],[1,2,66],[1,5,90],[1,7,62],[2,3,71],[2,6,15],[2,7,47],[3,4,61],[4,5,76],[4,6,21],[4,7,51],[5,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,37],[0,4,72],[0,7,35],[1,2,66],[1,5,90],[1,7,62],[2,3,71],[2,6,15],[2,7,47],[3,4,61],[4,5,76],[4,6,21],[4,7,51],[5,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (0,7)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,7)\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,37],[0,4,72],[0,7,35],[1,2,66],[1,5,90],[1,7,62],[2,3,71],[2,6,15],[2,7,47],[3,4,61],[4,5,76],[4,6,21],[4,7,51],[5,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=15, w=15\",\"Add (5,7)=16, w=31\",\"Add (4,6)=21, w=52\",\"Add (0,7)=35, w=87\",\"Add (0,2)=37, w=124\",\"Add (3,4)=61, w=185\",\"Add (1,7)=62, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,37],[0,4,72],[0,7,35],[1,2,66],[1,5,90],[1,7,62],[2,3,71],[2,6,15],[2,7,47],[3,4,61],[4,5,76],[4,6,21],[4,7,51],[5,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=15 Succeeded, w=15\",\"Add (5,7)=16 Succeeded, w=31\",\"Add (4,6)=21 Succeeded, w=52\",\"Add (0,7)=35 Succeeded, w=87\",\"Add (0,2)=37 Succeeded, w=124\",\"Add (2,7)=47 Failed, w=124\",\"Add (4,7)=51 Failed, w=124\",\"Add (3,4)=61 Succeeded, w=185\",\"Add (1,7)=62 Succeeded, w=247\",\"Add (1,2)=66 Failed, w=247\",\"Add (2,3)=71 Failed, w=247\",\"Add (0,4)=72 Failed, w=247\",\"Add (4,5)=76 Failed, w=247\",\"Add (1,5)=90 Failed, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,37],[0,4,72],[0,7,35],[1,2,66],[1,5,90],[1,7,62],[2,3,71],[2,6,15],[2,7,47],[3,4,61],[4,5,76],[4,6,21],[4,7,51],[5,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=15,(5,7)=16,(4,6)=21,(0,7)=35,(0,2)=37,(2,7)=47,(4,7)=51,(3,4)=61,(1,7)=62,(1,2)=66,(2,3)=71,(0,4)=72,(4,5)=76,(1,5)=90]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=15\",\"Find(5)=5, Find(7)=7, Add (5,7)=16 Succeeded, w=31\",\"Find(4)=4, Find(6)=2, Add (4,6)=21 Succeeded, w=52\",\"Find(0)=0, Find(7)=5, Add (0,7)=35 Succeeded, w=87\",\"Find(0)=5, Find(2)=2, Add (0,2)=37 Succeeded, w=124\",\"Find(2)=5, Find(7)=5, Add (2,7)=47 Failed, w=124\",\"Find(4)=5, Find(7)=5, Add (4,7)=51 Failed, w=124\",\"Find(3)=3, Find(4)=5, Add (3,4)=61 Succeeded, w=185\",\"Find(1)=1, Find(7)=5, Add (1,7)=62 Succeeded, w=247\",\"Find(1)=5, Find(2)=5, Add (1,2)=66 Failed, w=247\",\"Find(2)=5, Find(3)=5, Add (2,3)=71 Failed, w=247\",\"Find(0)=5, Find(4)=5, Add (0,4)=72 Failed, w=247\",\"Find(4)=5, Find(5)=5, Add (4,5)=76 Failed, w=247\",\"Find(1)=5, Find(5)=5, Add (1,5)=90 Failed, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,37],[0,4,72],[0,7,35],[1,2,66],[1,5,90],[1,7,62],[2,3,71],[2,6,15],[2,7,47],[3,4,61],[4,5,76],[4,6,21],[4,7,51],[5,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=15,(5,7)=16,(4,6)=21,(0,7)=35,(0,2)=37,(2,7)=47,(4,7)=51,(3,4)=61,(1,7)=62,(1,2)=66,(2,3)=71,(0,4)=72,(4,5)=76,(1,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 5}, Find(4)=4, Find(6)=2, Add (4,6)=21 Succeeded, w=52\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=35 Succeeded, w=87\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 2, 5: 5, 6: 2, 7: 5}, Find(0)=5, Find(2)=2, Add (0,2)=37 Succeeded, w=124\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 2, 5: 5, 6: 2, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=47 Failed, w=124\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 2, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=51 Failed, w=124\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(3)=3, Find(4)=5, Add (3,4)=61 Succeeded, w=185\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=62 Succeeded, w=247\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=66 Failed, w=247\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=71 Failed, w=247\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=72 Failed, w=247\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=76 Failed, w=247\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=90 Failed, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,81],[0,3,94],[0,4,71],[0,5,73],[1,2,58],[1,3,33],[1,4,96],[1,5,62],[2,3,72],[2,4,41],[2,5,93],[3,4,89],[3,5,39],[4,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,3,94],[0,4,71],[0,5,73],[1,2,58],[1,3,33],[1,4,96],[1,5,62],[2,3,72],[2,4,41],[2,5,93],[3,4,89],[3,5,39],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,3,94],[0,4,71],[0,5,73],[1,2,58],[1,3,33],[1,4,96],[1,5,62],[2,3,72],[2,4,41],[2,5,93],[3,4,89],[3,5,39],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,3,94],[0,4,71],[0,5,73],[1,2,58],[1,3,33],[1,4,96],[1,5,62],[2,3,72],[2,4,41],[2,5,93],[3,4,89],[3,5,39],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=33, w=33\",\"Add (3,5)=39, w=72\",\"Add (2,4)=41, w=113\",\"Add (1,2)=58, w=171\",\"Add (0,4)=71, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,3,94],[0,4,71],[0,5,73],[1,2,58],[1,3,33],[1,4,96],[1,5,62],[2,3,72],[2,4,41],[2,5,93],[3,4,89],[3,5,39],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=33 Succeeded, w=33\",\"Add (3,5)=39 Succeeded, w=72\",\"Add (2,4)=41 Succeeded, w=113\",\"Add (1,2)=58 Succeeded, w=171\",\"Add (1,5)=62 Failed, w=171\",\"Add (0,4)=71 Succeeded, w=242\",\"Add (2,3)=72 Failed, w=242\",\"Add (0,5)=73 Failed, w=242\",\"Add (4,5)=73 Failed, w=242\",\"Add (0,1)=81 Failed, w=242\",\"Add (3,4)=89 Failed, w=242\",\"Add (2,5)=93 Failed, w=242\",\"Add (0,3)=94 Failed, w=242\",\"Add (1,4)=96 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,3,94],[0,4,71],[0,5,73],[1,2,58],[1,3,33],[1,4,96],[1,5,62],[2,3,72],[2,4,41],[2,5,93],[3,4,89],[3,5,39],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=33,(3,5)=39,(2,4)=41,(1,2)=58,(1,5)=62,(0,4)=71,(2,3)=72,(0,5)=73,(4,5)=73,(0,1)=81,(3,4)=89,(2,5)=93,(0,3)=94,(1,4)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=33\",\"Find(3)=1, Find(5)=5, Add (3,5)=39 Succeeded, w=72\",\"Find(2)=2, Find(4)=4, Add (2,4)=41 Succeeded, w=113\",\"Find(1)=1, Find(2)=2, Add (1,2)=58 Succeeded, w=171\",\"Find(1)=1, Find(5)=1, Add (1,5)=62 Failed, w=171\",\"Find(0)=0, Find(4)=1, Add (0,4)=71 Succeeded, w=242\",\"Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=242\",\"Find(0)=1, Find(5)=1, Add (0,5)=73 Failed, w=242\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=242\",\"Find(0)=1, Find(1)=1, Add (0,1)=81 Failed, w=242\",\"Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=242\",\"Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=242\",\"Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=242\",\"Find(1)=1, Find(4)=1, Add (1,4)=96 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,3,94],[0,4,71],[0,5,73],[1,2,58],[1,3,33],[1,4,96],[1,5,62],[2,3,72],[2,4,41],[2,5,93],[3,4,89],[3,5,39],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=33,(3,5)=39,(2,4)=41,(1,2)=58,(1,5)=62,(0,4)=71,(2,3)=72,(0,5)=73,(4,5)=73,(0,1)=81,(3,4)=89,(2,5)=93,(0,3)=94,(1,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=39 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=41 Succeeded, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=58 Succeeded, w=171\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=62 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=71 Succeeded, w=242\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=242\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=73 Failed, w=242\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=242\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=81 Failed, w=242\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=242\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=242\",\"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=242\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=96 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,20],[1,2,49],[1,3,74],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,2,49],[1,3,74],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,2,49],[1,3,74],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,2,49],[1,3,74],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (2,3)=29, w=49\",\"Add (1,2)=49, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,2,49],[1,3,74],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (2,3)=29 Succeeded, w=49\",\"Add (1,2)=49 Succeeded, w=98\",\"Add (1,3)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,2,49],[1,3,74],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(2,3)=29,(1,2)=49,(1,3)=74]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=49\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,2,49],[1,3,74],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(2,3)=29,(1,2)=49,(1,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,84],[0,6,10],[1,2,47],[1,5,83],[1,6,28],[2,3,29],[2,4,48],[2,6,13],[3,4,99],[3,6,12],[4,5,38],[4,6,16],[5,6,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,6,10],[1,2,47],[1,5,83],[1,6,28],[2,3,29],[2,4,48],[2,6,13],[3,4,99],[3,6,12],[4,5,38],[4,6,16],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,6,10],[1,2,47],[1,5,83],[1,6,28],[2,3,29],[2,4,48],[2,6,13],[3,4,99],[3,6,12],[4,5,38],[4,6,16],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (4,5)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,6,10],[1,2,47],[1,5,83],[1,6,28],[2,3,29],[2,4,48],[2,6,13],[3,4,99],[3,6,12],[4,5,38],[4,6,16],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=10, w=10\",\"Add (3,6)=12, w=22\",\"Add (2,6)=13, w=35\",\"Add (4,6)=16, w=51\",\"Add (1,6)=28, w=79\",\"Add (4,5)=38, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,6,10],[1,2,47],[1,5,83],[1,6,28],[2,3,29],[2,4,48],[2,6,13],[3,4,99],[3,6,12],[4,5,38],[4,6,16],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=10 Succeeded, w=10\",\"Add (3,6)=12 Succeeded, w=22\",\"Add (2,6)=13 Succeeded, w=35\",\"Add (4,6)=16 Succeeded, w=51\",\"Add (1,6)=28 Succeeded, w=79\",\"Add (2,3)=29 Failed, w=79\",\"Add (4,5)=38 Succeeded, w=117\",\"Add (1,2)=47 Failed, w=117\",\"Add (2,4)=48 Failed, w=117\",\"Add (1,5)=83 Failed, w=117\",\"Add (0,3)=84 Failed, w=117\",\"Add (5,6)=98 Failed, w=117\",\"Add (3,4)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,6,10],[1,2,47],[1,5,83],[1,6,28],[2,3,29],[2,4,48],[2,6,13],[3,4,99],[3,6,12],[4,5,38],[4,6,16],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=10,(3,6)=12,(2,6)=13,(4,6)=16,(1,6)=28,(2,3)=29,(4,5)=38,(1,2)=47,(2,4)=48,(1,5)=83,(0,3)=84,(5,6)=98,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=10\",\"Find(3)=3, Find(6)=0, Add (3,6)=12 Succeeded, w=22\",\"Find(2)=2, Find(6)=0, Add (2,6)=13 Succeeded, w=35\",\"Find(4)=4, Find(6)=0, Add (4,6)=16 Succeeded, w=51\",\"Find(1)=1, Find(6)=0, Add (1,6)=28 Succeeded, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=79\",\"Find(4)=0, Find(5)=5, Add (4,5)=38 Succeeded, w=117\",\"Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=117\",\"Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=117\",\"Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=117\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=117\",\"Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=117\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,84],[0,6,10],[1,2,47],[1,5,83],[1,6,28],[2,3,29],[2,4,48],[2,6,13],[3,4,99],[3,6,12],[4,5,38],[4,6,16],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=10,(3,6)=12,(2,6)=13,(4,6)=16,(1,6)=28,(2,3)=29,(4,5)=38,(1,2)=47,(2,4)=48,(1,5)=83,(0,3)=84,(5,6)=98,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=13 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=16 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=28 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=38 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,10],[0,3,65],[0,4,42],[0,5,3],[1,3,46],[1,4,2],[2,3,16],[2,4,55],[2,5,69],[3,4,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,65],[0,4,42],[0,5,3],[1,3,46],[1,4,2],[2,3,16],[2,4,55],[2,5,69],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,65],[0,4,42],[0,5,3],[1,3,46],[1,4,2],[2,3,16],[2,4,55],[2,5,69],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,65],[0,4,42],[0,5,3],[1,3,46],[1,4,2],[2,3,16],[2,4,55],[2,5,69],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (0,5)=3, w=5\",\"Add (0,2)=10, w=15\",\"Add (2,3)=16, w=31\",\"Add (3,4)=38, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,65],[0,4,42],[0,5,3],[1,3,46],[1,4,2],[2,3,16],[2,4,55],[2,5,69],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (0,5)=3 Succeeded, w=5\",\"Add (0,2)=10 Succeeded, w=15\",\"Add (2,3)=16 Succeeded, w=31\",\"Add (3,4)=38 Succeeded, w=69\",\"Add (0,4)=42 Failed, w=69\",\"Add (1,3)=46 Failed, w=69\",\"Add (2,4)=55 Failed, w=69\",\"Add (0,3)=65 Failed, w=69\",\"Add (2,5)=69 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,65],[0,4,42],[0,5,3],[1,3,46],[1,4,2],[2,3,16],[2,4,55],[2,5,69],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,5)=3,(0,2)=10,(2,3)=16,(3,4)=38,(0,4)=42,(1,3)=46,(2,4)=55,(0,3)=65,(2,5)=69]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=15\",\"Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=31\",\"Find(3)=0, Find(4)=1, Add (3,4)=38 Succeeded, w=69\",\"Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=69\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=69\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=69\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=69\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,65],[0,4,42],[0,5,3],[1,3,46],[1,4,2],[2,3,16],[2,4,55],[2,5,69],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,5)=3,(0,2)=10,(2,3)=16,(3,4)=38,(0,4)=42,(1,3)=46,(2,4)=55,(0,3)=65,(2,5)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(3)=0, Find(4)=1, Add (3,4)=38 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,64],[0,2,78],[0,3,11],[0,4,12],[1,2,60],[1,3,80],[1,4,28],[2,3,27],[2,4,13],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,78],[0,3,11],[0,4,12],[1,2,60],[1,3,80],[1,4,28],[2,3,27],[2,4,13],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,78],[0,3,11],[0,4,12],[1,2,60],[1,3,80],[1,4,28],[2,3,27],[2,4,13],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,78],[0,3,11],[0,4,12],[1,2,60],[1,3,80],[1,4,28],[2,3,27],[2,4,13],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (0,4)=12, w=23\",\"Add (2,4)=13, w=36\",\"Add (1,4)=28, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,78],[0,3,11],[0,4,12],[1,2,60],[1,3,80],[1,4,28],[2,3,27],[2,4,13],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (0,4)=12 Succeeded, w=23\",\"Add (2,4)=13 Succeeded, w=36\",\"Add (2,3)=27 Failed, w=36\",\"Add (1,4)=28 Succeeded, w=64\",\"Add (1,2)=60 Failed, w=64\",\"Add (0,1)=64 Failed, w=64\",\"Add (0,2)=78 Failed, w=64\",\"Add (1,3)=80 Failed, w=64\",\"Add (3,4)=99 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,78],[0,3,11],[0,4,12],[1,2,60],[1,3,80],[1,4,28],[2,3,27],[2,4,13],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,4)=12,(2,4)=13,(2,3)=27,(1,4)=28,(1,2)=60,(0,1)=64,(0,2)=78,(1,3)=80,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=23\",\"Find(2)=2, Find(4)=0, Add (2,4)=13 Succeeded, w=36\",\"Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=36\",\"Find(1)=1, Find(4)=0, Add (1,4)=28 Succeeded, w=64\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=64\",\"Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=64\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=64\",\"Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=64\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,78],[0,3,11],[0,4,12],[1,2,60],[1,3,80],[1,4,28],[2,3,27],[2,4,13],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,4)=12,(2,4)=13,(2,3)=27,(1,4)=28,(1,2)=60,(0,1)=64,(0,2)=78,(1,3)=80,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=13 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=28 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,81],[0,3,99],[0,4,28],[0,5,4],[0,6,87],[1,2,0],[1,4,8],[1,5,51],[1,6,80],[2,3,79],[2,4,52],[2,5,76],[3,4,18],[3,5,92],[3,6,25],[4,5,63],[4,6,25],[5,6,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,99],[0,4,28],[0,5,4],[0,6,87],[1,2,0],[1,4,8],[1,5,51],[1,6,80],[2,3,79],[2,4,52],[2,5,76],[3,4,18],[3,5,92],[3,6,25],[4,5,63],[4,6,25],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,99],[0,4,28],[0,5,4],[0,6,87],[1,2,0],[1,4,8],[1,5,51],[1,6,80],[2,3,79],[2,4,52],[2,5,76],[3,4,18],[3,5,92],[3,6,25],[4,5,63],[4,6,25],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (3,6)\",\"Add (0,4)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,99],[0,4,28],[0,5,4],[0,6,87],[1,2,0],[1,4,8],[1,5,51],[1,6,80],[2,3,79],[2,4,52],[2,5,76],[3,4,18],[3,5,92],[3,6,25],[4,5,63],[4,6,25],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,5)=4, w=4\",\"Add (1,4)=8, w=12\",\"Add (3,4)=18, w=30\",\"Add (3,6)=25, w=55\",\"Add (0,4)=28, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,99],[0,4,28],[0,5,4],[0,6,87],[1,2,0],[1,4,8],[1,5,51],[1,6,80],[2,3,79],[2,4,52],[2,5,76],[3,4,18],[3,5,92],[3,6,25],[4,5,63],[4,6,25],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,5)=4 Succeeded, w=4\",\"Add (1,4)=8 Succeeded, w=12\",\"Add (3,4)=18 Succeeded, w=30\",\"Add (3,6)=25 Succeeded, w=55\",\"Add (4,6)=25 Failed, w=55\",\"Add (0,4)=28 Succeeded, w=83\",\"Add (1,5)=51 Failed, w=83\",\"Add (2,4)=52 Failed, w=83\",\"Add (4,5)=63 Failed, w=83\",\"Add (2,5)=76 Failed, w=83\",\"Add (2,3)=79 Failed, w=83\",\"Add (1,6)=80 Failed, w=83\",\"Add (0,2)=81 Failed, w=83\",\"Add (0,6)=87 Failed, w=83\",\"Add (5,6)=88 Failed, w=83\",\"Add (3,5)=92 Failed, w=83\",\"Add (0,3)=99 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,99],[0,4,28],[0,5,4],[0,6,87],[1,2,0],[1,4,8],[1,5,51],[1,6,80],[2,3,79],[2,4,52],[2,5,76],[3,4,18],[3,5,92],[3,6,25],[4,5,63],[4,6,25],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,5)=4,(1,4)=8,(3,4)=18,(3,6)=25,(4,6)=25,(0,4)=28,(1,5)=51,(2,4)=52,(4,5)=63,(2,5)=76,(2,3)=79,(1,6)=80,(0,2)=81,(0,6)=87,(5,6)=88,(3,5)=92,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=12\",\"Find(3)=3, Find(4)=1, Add (3,4)=18 Succeeded, w=30\",\"Find(3)=1, Find(6)=6, Add (3,6)=25 Succeeded, w=55\",\"Find(4)=1, Find(6)=1, Add (4,6)=25 Failed, w=55\",\"Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=83\",\"Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=83\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=83\",\"Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=83\",\"Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=83\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=83\",\"Find(0)=0, Find(6)=0, Add (0,6)=87 Failed, w=83\",\"Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=83\",\"Find(3)=0, Find(5)=0, Add (3,5)=92 Failed, w=83\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,99],[0,4,28],[0,5,4],[0,6,87],[1,2,0],[1,4,8],[1,5,51],[1,6,80],[2,3,79],[2,4,52],[2,5,76],[3,4,18],[3,5,92],[3,6,25],[4,5,63],[4,6,25],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,5)=4,(1,4)=8,(3,4)=18,(3,6)=25,(4,6)=25,(0,4)=28,(1,5)=51,(2,4)=52,(4,5)=63,(2,5)=76,(2,3)=79,(1,6)=80,(0,2)=81,(0,6)=87,(5,6)=88,(3,5)=92,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 6}, Find(3)=3, Find(4)=1, Add (3,4)=18 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=25 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=25 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=87 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=92 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,87],[0,3,3],[0,4,98],[0,5,79],[1,3,13],[1,5,66],[2,3,68],[2,4,0],[2,5,53],[3,4,46],[3,5,46],[4,5,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,3],[0,4,98],[0,5,79],[1,3,13],[1,5,66],[2,3,68],[2,4,0],[2,5,53],[3,4,46],[3,5,46],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,3],[0,4,98],[0,5,79],[1,3,13],[1,5,66],[2,3,68],[2,4,0],[2,5,53],[3,4,46],[3,5,46],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (3,4)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,3],[0,4,98],[0,5,79],[1,3,13],[1,5,66],[2,3,68],[2,4,0],[2,5,53],[3,4,46],[3,5,46],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (0,3)=3, w=3\",\"Add (1,3)=13, w=16\",\"Add (4,5)=13, w=29\",\"Add (3,4)=46, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,3],[0,4,98],[0,5,79],[1,3,13],[1,5,66],[2,3,68],[2,4,0],[2,5,53],[3,4,46],[3,5,46],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,3)=13 Succeeded, w=16\",\"Add (4,5)=13 Succeeded, w=29\",\"Add (3,4)=46 Succeeded, w=75\",\"Add (3,5)=46 Failed, w=75\",\"Add (2,5)=53 Failed, w=75\",\"Add (1,5)=66 Failed, w=75\",\"Add (2,3)=68 Failed, w=75\",\"Add (0,5)=79 Failed, w=75\",\"Add (0,2)=87 Failed, w=75\",\"Add (0,4)=98 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,3],[0,4,98],[0,5,79],[1,3,13],[1,5,66],[2,3,68],[2,4,0],[2,5,53],[3,4,46],[3,5,46],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,3)=3,(1,3)=13,(4,5)=13,(3,4)=46,(3,5)=46,(2,5)=53,(1,5)=66,(2,3)=68,(0,5)=79,(0,2)=87,(0,4)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=16\",\"Find(4)=2, Find(5)=5, Add (4,5)=13 Succeeded, w=29\",\"Find(3)=0, Find(4)=2, Add (3,4)=46 Succeeded, w=75\",\"Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=75\",\"Find(2)=0, Find(5)=0, Add (2,5)=53 Failed, w=75\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=75\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=75\",\"Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=75\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=75\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,87],[0,3,3],[0,4,98],[0,5,79],[1,3,13],[1,5,66],[2,3,68],[2,4,0],[2,5,53],[3,4,46],[3,5,46],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,3)=3,(1,3)=13,(4,5)=13,(3,4)=46,(3,5)=46,(2,5)=53,(1,5)=66,(2,3)=68,(0,5)=79,(0,2)=87,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(3)=0, Find(4)=2, Add (3,4)=46 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=53 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,85],[0,2,35],[0,3,7],[1,2,45],[1,3,81],[1,4,6],[1,5,40],[2,3,74],[2,4,22],[2,5,11],[3,4,6],[3,5,74],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,35],[0,3,7],[1,2,45],[1,3,81],[1,4,6],[1,5,40],[2,3,74],[2,4,22],[2,5,11],[3,4,6],[3,5,74],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,35],[0,3,7],[1,2,45],[1,3,81],[1,4,6],[1,5,40],[2,3,74],[2,4,22],[2,5,11],[3,4,6],[3,5,74],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (2,4)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,35],[0,3,7],[1,2,45],[1,3,81],[1,4,6],[1,5,40],[2,3,74],[2,4,22],[2,5,11],[3,4,6],[3,5,74],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6, w=6\",\"Add (3,4)=6, w=12\",\"Add (0,3)=7, w=19\",\"Add (2,5)=11, w=30\",\"Add (2,4)=22, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,35],[0,3,7],[1,2,45],[1,3,81],[1,4,6],[1,5,40],[2,3,74],[2,4,22],[2,5,11],[3,4,6],[3,5,74],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6 Succeeded, w=6\",\"Add (3,4)=6 Succeeded, w=12\",\"Add (0,3)=7 Succeeded, w=19\",\"Add (2,5)=11 Succeeded, w=30\",\"Add (2,4)=22 Succeeded, w=52\",\"Add (0,2)=35 Failed, w=52\",\"Add (1,5)=40 Failed, w=52\",\"Add (1,2)=45 Failed, w=52\",\"Add (4,5)=56 Failed, w=52\",\"Add (2,3)=74 Failed, w=52\",\"Add (3,5)=74 Failed, w=52\",\"Add (1,3)=81 Failed, w=52\",\"Add (0,1)=85 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,35],[0,3,7],[1,2,45],[1,3,81],[1,4,6],[1,5,40],[2,3,74],[2,4,22],[2,5,11],[3,4,6],[3,5,74],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(3,4)=6,(0,3)=7,(2,5)=11,(2,4)=22,(0,2)=35,(1,5)=40,(1,2)=45,(4,5)=56,(2,3)=74,(3,5)=74,(1,3)=81,(0,1)=85]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(3)=3, Find(4)=1, Add (3,4)=6 Succeeded, w=12\",\"Find(0)=0, Find(3)=1, Add (0,3)=7 Succeeded, w=19\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=30\",\"Find(2)=2, Find(4)=1, Add (2,4)=22 Succeeded, w=52\",\"Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=52\",\"Find(1)=2, Find(5)=2, Add (1,5)=40 Failed, w=52\",\"Find(1)=2, Find(2)=2, Add (1,2)=45 Failed, w=52\",\"Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=52\",\"Find(2)=2, Find(3)=2, Add (2,3)=74 Failed, w=52\",\"Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=52\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=52\",\"Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,35],[0,3,7],[1,2,45],[1,3,81],[1,4,6],[1,5,40],[2,3,74],[2,4,22],[2,5,11],[3,4,6],[3,5,74],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(3,4)=6,(0,3)=7,(2,5)=11,(2,4)=22,(0,2)=35,(1,5)=40,(1,2)=45,(4,5)=56,(2,3)=74,(3,5)=74,(1,3)=81,(0,1)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=6 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=7 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=30\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(2)=2, Find(4)=1, Add (2,4)=22 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=40 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=45 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=74 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=52\",\"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=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,46],[0,2,53],[0,3,24],[0,4,75],[0,6,24],[1,2,86],[1,4,46],[2,4,44],[2,5,11],[2,6,76],[3,4,50],[3,5,7],[3,6,1],[4,5,98],[4,6,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,53],[0,3,24],[0,4,75],[0,6,24],[1,2,86],[1,4,46],[2,4,44],[2,5,11],[2,6,76],[3,4,50],[3,5,7],[3,6,1],[4,5,98],[4,6,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,53],[0,3,24],[0,4,75],[0,6,24],[1,2,86],[1,4,46],[2,4,44],[2,5,11],[2,6,76],[3,4,50],[3,5,7],[3,6,1],[4,5,98],[4,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,53],[0,3,24],[0,4,75],[0,6,24],[1,2,86],[1,4,46],[2,4,44],[2,5,11],[2,6,76],[3,4,50],[3,5,7],[3,6,1],[4,5,98],[4,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (3,5)=7, w=8\",\"Add (2,5)=11, w=19\",\"Add (0,3)=24, w=43\",\"Add (2,4)=44, w=87\",\"Add (0,1)=46, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,53],[0,3,24],[0,4,75],[0,6,24],[1,2,86],[1,4,46],[2,4,44],[2,5,11],[2,6,76],[3,4,50],[3,5,7],[3,6,1],[4,5,98],[4,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (3,5)=7 Succeeded, w=8\",\"Add (2,5)=11 Succeeded, w=19\",\"Add (0,3)=24 Succeeded, w=43\",\"Add (0,6)=24 Failed, w=43\",\"Add (2,4)=44 Succeeded, w=87\",\"Add (0,1)=46 Succeeded, w=133\",\"Add (1,4)=46 Failed, w=133\",\"Add (4,6)=49 Failed, w=133\",\"Add (3,4)=50 Failed, w=133\",\"Add (0,2)=53 Failed, w=133\",\"Add (0,4)=75 Failed, w=133\",\"Add (2,6)=76 Failed, w=133\",\"Add (1,2)=86 Failed, w=133\",\"Add (4,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,53],[0,3,24],[0,4,75],[0,6,24],[1,2,86],[1,4,46],[2,4,44],[2,5,11],[2,6,76],[3,4,50],[3,5,7],[3,6,1],[4,5,98],[4,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(3,5)=7,(2,5)=11,(0,3)=24,(0,6)=24,(2,4)=44,(0,1)=46,(1,4)=46,(4,6)=49,(3,4)=50,(0,2)=53,(0,4)=75,(2,6)=76,(1,2)=86,(4,5)=98]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=8\",\"Find(2)=2, Find(5)=3, Add (2,5)=11 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=43\",\"Find(0)=3, Find(6)=3, Add (0,6)=24 Failed, w=43\",\"Find(2)=3, Find(4)=4, Add (2,4)=44 Succeeded, w=87\",\"Find(0)=3, Find(1)=1, Add (0,1)=46 Succeeded, w=133\",\"Find(1)=3, Find(4)=3, Add (1,4)=46 Failed, w=133\",\"Find(4)=3, Find(6)=3, Add (4,6)=49 Failed, w=133\",\"Find(3)=3, Find(4)=3, Add (3,4)=50 Failed, w=133\",\"Find(0)=3, Find(2)=3, Add (0,2)=53 Failed, w=133\",\"Find(0)=3, Find(4)=3, Add (0,4)=75 Failed, w=133\",\"Find(2)=3, Find(6)=3, Add (2,6)=76 Failed, w=133\",\"Find(1)=3, Find(2)=3, Add (1,2)=86 Failed, w=133\",\"Find(4)=3, Find(5)=3, Add (4,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,53],[0,3,24],[0,4,75],[0,6,24],[1,2,86],[1,4,46],[2,4,44],[2,5,11],[2,6,76],[3,4,50],[3,5,7],[3,6,1],[4,5,98],[4,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(3,5)=7,(2,5)=11,(0,3)=24,(0,6)=24,(2,4)=44,(0,1)=46,(1,4)=46,(4,6)=49,(3,4)=50,(0,2)=53,(0,4)=75,(2,6)=76,(1,2)=86,(4,5)=98]\",\"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: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=2, Find(5)=3, Add (2,5)=11 Succeeded, w=19\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=43\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=24 Failed, w=43\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=4, Add (2,4)=44 Succeeded, w=87\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=1, Add (0,1)=46 Succeeded, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=46 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=49 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=50 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=53 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=75 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=76 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=86 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,0],[0,3,8],[0,4,83],[0,5,69],[0,7,21],[1,2,71],[1,3,85],[1,5,43],[2,4,99],[2,5,72],[2,6,26],[2,7,64],[3,4,40],[3,5,66],[3,7,16],[4,5,2],[4,7,66],[5,6,12],[5,7,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,8],[0,4,83],[0,5,69],[0,7,21],[1,2,71],[1,3,85],[1,5,43],[2,4,99],[2,5,72],[2,6,26],[2,7,64],[3,4,40],[3,5,66],[3,7,16],[4,5,2],[4,7,66],[5,6,12],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,8],[0,4,83],[0,5,69],[0,7,21],[1,2,71],[1,3,85],[1,5,43],[2,4,99],[2,5,72],[2,6,26],[2,7,64],[3,4,40],[3,5,66],[3,7,16],[4,5,2],[4,7,66],[5,6,12],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (5,6)\",\"Add (3,7)\",\"Add (5,7)\",\"Add (1,5)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,8],[0,4,83],[0,5,69],[0,7,21],[1,2,71],[1,3,85],[1,5,43],[2,4,99],[2,5,72],[2,6,26],[2,7,64],[3,4,40],[3,5,66],[3,7,16],[4,5,2],[4,7,66],[5,6,12],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (4,5)=2, w=2\",\"Add (0,3)=8, w=10\",\"Add (5,6)=12, w=22\",\"Add (3,7)=16, w=38\",\"Add (5,7)=21, w=59\",\"Add (1,5)=43, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,8],[0,4,83],[0,5,69],[0,7,21],[1,2,71],[1,3,85],[1,5,43],[2,4,99],[2,5,72],[2,6,26],[2,7,64],[3,4,40],[3,5,66],[3,7,16],[4,5,2],[4,7,66],[5,6,12],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (4,5)=2 Succeeded, w=2\",\"Add (0,3)=8 Succeeded, w=10\",\"Add (5,6)=12 Succeeded, w=22\",\"Add (3,7)=16 Succeeded, w=38\",\"Add (0,7)=21 Failed, w=38\",\"Add (5,7)=21 Succeeded, w=59\",\"Add (2,6)=26 Failed, w=59\",\"Add (3,4)=40 Failed, w=59\",\"Add (1,5)=43 Succeeded, w=102\",\"Add (2,7)=64 Failed, w=102\",\"Add (3,5)=66 Failed, w=102\",\"Add (4,7)=66 Failed, w=102\",\"Add (0,5)=69 Failed, w=102\",\"Add (1,2)=71 Failed, w=102\",\"Add (2,5)=72 Failed, w=102\",\"Add (0,4)=83 Failed, w=102\",\"Add (1,3)=85 Failed, w=102\",\"Add (2,4)=99 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,8],[0,4,83],[0,5,69],[0,7,21],[1,2,71],[1,3,85],[1,5,43],[2,4,99],[2,5,72],[2,6,26],[2,7,64],[3,4,40],[3,5,66],[3,7,16],[4,5,2],[4,7,66],[5,6,12],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(4,5)=2,(0,3)=8,(5,6)=12,(3,7)=16,(0,7)=21,(5,7)=21,(2,6)=26,(3,4)=40,(1,5)=43,(2,7)=64,(3,5)=66,(4,7)=66,(0,5)=69,(1,2)=71,(2,5)=72,(0,4)=83,(1,3)=85,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=10\",\"Find(5)=4, Find(6)=6, Add (5,6)=12 Succeeded, w=22\",\"Find(3)=0, Find(7)=7, Add (3,7)=16 Succeeded, w=38\",\"Find(0)=0, Find(7)=0, Add (0,7)=21 Failed, w=38\",\"Find(5)=4, Find(7)=0, Add (5,7)=21 Succeeded, w=59\",\"Find(2)=4, Find(6)=4, Add (2,6)=26 Failed, w=59\",\"Find(3)=4, Find(4)=4, Add (3,4)=40 Failed, w=59\",\"Find(1)=1, Find(5)=4, Add (1,5)=43 Succeeded, w=102\",\"Find(2)=4, Find(7)=4, Add (2,7)=64 Failed, w=102\",\"Find(3)=4, Find(5)=4, Add (3,5)=66 Failed, w=102\",\"Find(4)=4, Find(7)=4, Add (4,7)=66 Failed, w=102\",\"Find(0)=4, Find(5)=4, Add (0,5)=69 Failed, w=102\",\"Find(1)=4, Find(2)=4, Add (1,2)=71 Failed, w=102\",\"Find(2)=4, Find(5)=4, Add (2,5)=72 Failed, w=102\",\"Find(0)=4, Find(4)=4, Add (0,4)=83 Failed, w=102\",\"Find(1)=4, Find(3)=4, Add (1,3)=85 Failed, w=102\",\"Find(2)=4, Find(4)=4, Add (2,4)=99 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,8],[0,4,83],[0,5,69],[0,7,21],[1,2,71],[1,3,85],[1,5,43],[2,4,99],[2,5,72],[2,6,26],[2,7,64],[3,4,40],[3,5,66],[3,7,16],[4,5,2],[4,7,66],[5,6,12],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(4,5)=2,(0,3)=8,(5,6)=12,(3,7)=16,(0,7)=21,(5,7)=21,(2,6)=26,(3,4)=40,(1,5)=43,(2,7)=64,(3,5)=66,(4,7)=66,(0,5)=69,(1,2)=71,(2,5)=72,(0,4)=83,(1,3)=85,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=4, Find(6)=6, Add (5,6)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=21 Failed, w=38\",\"Parent: {0: 4, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(5)=4, Find(7)=0, Add (5,7)=21 Succeeded, w=59\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(2)=4, Find(6)=4, Add (2,6)=26 Failed, w=59\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(3)=4, Find(4)=4, Add (3,4)=40 Failed, w=59\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(1)=1, Find(5)=4, Add (1,5)=43 Succeeded, w=102\",\"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)=64 Failed, w=102\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=66 Failed, w=102\",\"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)=66 Failed, w=102\",\"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)=69 Failed, w=102\",\"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)=71 Failed, w=102\",\"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)=72 Failed, w=102\",\"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)=83 Failed, w=102\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=85 Failed, w=102\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=99 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,92],[0,2,97],[0,4,40],[0,5,14],[1,2,85],[1,3,9],[1,4,1],[2,4,61],[2,5,2],[4,5,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,97],[0,4,40],[0,5,14],[1,2,85],[1,3,9],[1,4,1],[2,4,61],[2,5,2],[4,5,34]]}",
"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],\"edges\":[[0,1,92],[0,2,97],[0,4,40],[0,5,14],[1,2,85],[1,3,9],[1,4,1],[2,4,61],[2,5,2],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (4,5)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,97],[0,4,40],[0,5,14],[1,2,85],[1,3,9],[1,4,1],[2,4,61],[2,5,2],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (2,5)=2, w=3\",\"Add (1,3)=9, w=12\",\"Add (0,5)=14, w=26\",\"Add (4,5)=34, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,97],[0,4,40],[0,5,14],[1,2,85],[1,3,9],[1,4,1],[2,4,61],[2,5,2],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (2,5)=2 Succeeded, w=3\",\"Add (1,3)=9 Succeeded, w=12\",\"Add (0,5)=14 Succeeded, w=26\",\"Add (4,5)=34 Succeeded, w=60\",\"Add (0,4)=40 Failed, w=60\",\"Add (2,4)=61 Failed, w=60\",\"Add (1,2)=85 Failed, w=60\",\"Add (0,1)=92 Failed, w=60\",\"Add (0,2)=97 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],\"edges\":[[0,1,92],[0,2,97],[0,4,40],[0,5,14],[1,2,85],[1,3,9],[1,4,1],[2,4,61],[2,5,2],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(2,5)=2,(1,3)=9,(0,5)=14,(4,5)=34,(0,4)=40,(2,4)=61,(1,2)=85,(0,1)=92,(0,2)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=12\",\"Find(0)=0, Find(5)=2, Add (0,5)=14 Succeeded, w=26\",\"Find(4)=1, Find(5)=2, Add (4,5)=34 Succeeded, w=60\",\"Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=60\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=60\",\"Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=60\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=60\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 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],\"edges\":[[0,1,92],[0,2,97],[0,4,40],[0,5,14],[1,2,85],[1,3,9],[1,4,1],[2,4,61],[2,5,2],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(2,5)=2,(1,3)=9,(0,5)=14,(4,5)=34,(0,4)=40,(2,4)=61,(1,2)=85,(0,1)=92,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, 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: 2}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=14 Succeeded, w=26\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(4)=1, Find(5)=2, Add (4,5)=34 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,2,30],[0,3,75],[0,4,60],[0,5,82],[1,3,11],[1,4,81],[1,5,37],[2,3,99],[2,4,17],[2,5,36],[3,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,30],[0,3,75],[0,4,60],[0,5,82],[1,3,11],[1,4,81],[1,5,37],[2,3,99],[2,4,17],[2,5,36],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,30],[0,3,75],[0,4,60],[0,5,82],[1,3,11],[1,4,81],[1,5,37],[2,3,99],[2,4,17],[2,5,36],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,30],[0,3,75],[0,4,60],[0,5,82],[1,3,11],[1,4,81],[1,5,37],[2,3,99],[2,4,17],[2,5,36],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (2,4)=17, w=28\",\"Add (0,2)=30, w=58\",\"Add (0,1)=34, w=92\",\"Add (2,5)=36, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,30],[0,3,75],[0,4,60],[0,5,82],[1,3,11],[1,4,81],[1,5,37],[2,3,99],[2,4,17],[2,5,36],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (2,4)=17 Succeeded, w=28\",\"Add (0,2)=30 Succeeded, w=58\",\"Add (0,1)=34 Succeeded, w=92\",\"Add (2,5)=36 Succeeded, w=128\",\"Add (1,5)=37 Failed, w=128\",\"Add (3,5)=38 Failed, w=128\",\"Add (0,4)=60 Failed, w=128\",\"Add (0,3)=75 Failed, w=128\",\"Add (1,4)=81 Failed, w=128\",\"Add (0,5)=82 Failed, w=128\",\"Add (2,3)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,30],[0,3,75],[0,4,60],[0,5,82],[1,3,11],[1,4,81],[1,5,37],[2,3,99],[2,4,17],[2,5,36],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(2,4)=17,(0,2)=30,(0,1)=34,(2,5)=36,(1,5)=37,(3,5)=38,(0,4)=60,(0,3)=75,(1,4)=81,(0,5)=82,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=58\",\"Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=92\",\"Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=128\",\"Find(1)=2, Find(5)=2, Add (1,5)=37 Failed, w=128\",\"Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=128\",\"Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=128\",\"Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=128\",\"Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=128\",\"Find(0)=2, Find(5)=2, Add (0,5)=82 Failed, w=128\",\"Find(2)=2, Find(3)=2, Add (2,3)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,30],[0,3,75],[0,4,60],[0,5,82],[1,3,11],[1,4,81],[1,5,37],[2,3,99],[2,4,17],[2,5,36],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(2,4)=17,(0,2)=30,(0,1)=34,(2,5)=36,(1,5)=37,(3,5)=38,(0,4)=60,(0,3)=75,(1,4)=81,(0,5)=82,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=37 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=82 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,42],[0,2,85],[0,3,22],[0,4,6],[0,5,50],[1,2,89],[1,3,93],[1,4,39],[1,5,98],[2,3,87],[2,4,75],[2,5,50],[3,4,49],[3,5,62],[4,5,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,85],[0,3,22],[0,4,6],[0,5,50],[1,2,89],[1,3,93],[1,4,39],[1,5,98],[2,3,87],[2,4,75],[2,5,50],[3,4,49],[3,5,62],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,85],[0,3,22],[0,4,6],[0,5,50],[1,2,89],[1,3,93],[1,4,39],[1,5,98],[2,3,87],[2,4,75],[2,5,50],[3,4,49],[3,5,62],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (2,5)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,85],[0,3,22],[0,4,6],[0,5,50],[1,2,89],[1,3,93],[1,4,39],[1,5,98],[2,3,87],[2,4,75],[2,5,50],[3,4,49],[3,5,62],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (0,3)=22, w=28\",\"Add (1,4)=39, w=67\",\"Add (4,5)=44, w=111\",\"Add (2,5)=50, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,85],[0,3,22],[0,4,6],[0,5,50],[1,2,89],[1,3,93],[1,4,39],[1,5,98],[2,3,87],[2,4,75],[2,5,50],[3,4,49],[3,5,62],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (0,3)=22 Succeeded, w=28\",\"Add (1,4)=39 Succeeded, w=67\",\"Add (0,1)=42 Failed, w=67\",\"Add (4,5)=44 Succeeded, w=111\",\"Add (3,4)=49 Failed, w=111\",\"Add (0,5)=50 Failed, w=111\",\"Add (2,5)=50 Succeeded, w=161\",\"Add (3,5)=62 Failed, w=161\",\"Add (2,4)=75 Failed, w=161\",\"Add (0,2)=85 Failed, w=161\",\"Add (2,3)=87 Failed, w=161\",\"Add (1,2)=89 Failed, w=161\",\"Add (1,3)=93 Failed, w=161\",\"Add (1,5)=98 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,85],[0,3,22],[0,4,6],[0,5,50],[1,2,89],[1,3,93],[1,4,39],[1,5,98],[2,3,87],[2,4,75],[2,5,50],[3,4,49],[3,5,62],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(0,3)=22,(1,4)=39,(0,1)=42,(4,5)=44,(3,4)=49,(0,5)=50,(2,5)=50,(3,5)=62,(2,4)=75,(0,2)=85,(2,3)=87,(1,2)=89,(1,3)=93,(1,5)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=28\",\"Find(1)=1, Find(4)=0, Add (1,4)=39 Succeeded, w=67\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=67\",\"Find(4)=0, Find(5)=5, Add (4,5)=44 Succeeded, w=111\",\"Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=111\",\"Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=111\",\"Find(2)=2, Find(5)=0, Add (2,5)=50 Succeeded, w=161\",\"Find(3)=0, Find(5)=0, Add (3,5)=62 Failed, w=161\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=161\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=161\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=161\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=161\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=161\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,85],[0,3,22],[0,4,6],[0,5,50],[1,2,89],[1,3,93],[1,4,39],[1,5,98],[2,3,87],[2,4,75],[2,5,50],[3,4,49],[3,5,62],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(0,3)=22,(1,4)=39,(0,1)=42,(4,5)=44,(3,4)=49,(0,5)=50,(2,5)=50,(3,5)=62,(2,4)=75,(0,2)=85,(2,3)=87,(1,2)=89,(1,3)=93,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=39 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=44 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=50 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=62 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,30],[0,3,23],[0,5,26],[1,2,61],[1,3,52],[1,4,85],[1,5,58],[2,3,70],[2,4,45],[2,5,20],[3,5,26],[4,5,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,30],[0,3,23],[0,5,26],[1,2,61],[1,3,52],[1,4,85],[1,5,58],[2,3,70],[2,4,45],[2,5,20],[3,5,26],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,30],[0,3,23],[0,5,26],[1,2,61],[1,3,52],[1,4,85],[1,5,58],[2,3,70],[2,4,45],[2,5,20],[3,5,26],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (0,1)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,30],[0,3,23],[0,5,26],[1,2,61],[1,3,52],[1,4,85],[1,5,58],[2,3,70],[2,4,45],[2,5,20],[3,5,26],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=20, w=20\",\"Add (0,3)=23, w=43\",\"Add (0,5)=26, w=69\",\"Add (4,5)=37, w=106\",\"Add (0,1)=38, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,30],[0,3,23],[0,5,26],[1,2,61],[1,3,52],[1,4,85],[1,5,58],[2,3,70],[2,4,45],[2,5,20],[3,5,26],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=20 Succeeded, w=20\",\"Add (0,3)=23 Succeeded, w=43\",\"Add (0,5)=26 Succeeded, w=69\",\"Add (3,5)=26 Failed, w=69\",\"Add (0,2)=30 Failed, w=69\",\"Add (4,5)=37 Succeeded, w=106\",\"Add (0,1)=38 Succeeded, w=144\",\"Add (2,4)=45 Failed, w=144\",\"Add (1,3)=52 Failed, w=144\",\"Add (1,5)=58 Failed, w=144\",\"Add (1,2)=61 Failed, w=144\",\"Add (2,3)=70 Failed, w=144\",\"Add (1,4)=85 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,30],[0,3,23],[0,5,26],[1,2,61],[1,3,52],[1,4,85],[1,5,58],[2,3,70],[2,4,45],[2,5,20],[3,5,26],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=20,(0,3)=23,(0,5)=26,(3,5)=26,(0,2)=30,(4,5)=37,(0,1)=38,(2,4)=45,(1,3)=52,(1,5)=58,(1,2)=61,(2,3)=70,(1,4)=85]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=20\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=43\",\"Find(0)=0, Find(5)=2, Add (0,5)=26 Succeeded, w=69\",\"Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=69\",\"Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=69\",\"Find(4)=4, Find(5)=0, Add (4,5)=37 Succeeded, w=106\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=144\",\"Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=144\",\"Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=144\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=144\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=144\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,30],[0,3,23],[0,5,26],[1,2,61],[1,3,52],[1,4,85],[1,5,58],[2,3,70],[2,4,45],[2,5,20],[3,5,26],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=20,(0,3)=23,(0,5)=26,(3,5)=26,(0,2)=30,(4,5)=37,(0,1)=38,(2,4)=45,(1,3)=52,(1,5)=58,(1,2)=61,(2,3)=70,(1,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=26 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=37 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,13],[0,3,82],[1,2,53],[1,3,95],[2,3,10],[2,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,3,82],[1,2,53],[1,3,95],[2,3,10],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,3,82],[1,2,53],[1,3,95],[2,3,10],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,3,82],[1,2,53],[1,3,95],[2,3,10],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (2,3)=10, w=15\",\"Add (0,1)=13, w=28\",\"Add (1,2)=53, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,3,82],[1,2,53],[1,3,95],[2,3,10],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (2,3)=10 Succeeded, w=15\",\"Add (0,1)=13 Succeeded, w=28\",\"Add (1,2)=53 Succeeded, w=81\",\"Add (0,3)=82 Failed, w=81\",\"Add (1,3)=95 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,3,82],[1,2,53],[1,3,95],[2,3,10],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(2,3)=10,(0,1)=13,(1,2)=53,(0,3)=82,(1,3)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=28\",\"Find(1)=0, Find(2)=2, Add (1,2)=53 Succeeded, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=81\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,3,82],[1,2,53],[1,3,95],[2,3,10],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(2,3)=10,(0,1)=13,(1,2)=53,(0,3)=82,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=53 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,2,63],[0,3,41],[0,4,95],[0,5,18],[0,6,83],[1,2,28],[1,3,56],[1,4,71],[1,5,91],[1,6,10],[2,3,54],[2,4,21],[2,5,22],[2,6,1],[3,4,83],[3,5,19],[3,6,67],[4,5,85],[4,6,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,63],[0,3,41],[0,4,95],[0,5,18],[0,6,83],[1,2,28],[1,3,56],[1,4,71],[1,5,91],[1,6,10],[2,3,54],[2,4,21],[2,5,22],[2,6,1],[3,4,83],[3,5,19],[3,6,67],[4,5,85],[4,6,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,63],[0,3,41],[0,4,95],[0,5,18],[0,6,83],[1,2,28],[1,3,56],[1,4,71],[1,5,91],[1,6,10],[2,3,54],[2,4,21],[2,5,22],[2,6,1],[3,4,83],[3,5,19],[3,6,67],[4,5,85],[4,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,4)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,63],[0,3,41],[0,4,95],[0,5,18],[0,6,83],[1,2,28],[1,3,56],[1,4,71],[1,5,91],[1,6,10],[2,3,54],[2,4,21],[2,5,22],[2,6,1],[3,4,83],[3,5,19],[3,6,67],[4,5,85],[4,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (0,1)=10, w=11\",\"Add (1,6)=10, w=21\",\"Add (0,5)=18, w=39\",\"Add (3,5)=19, w=58\",\"Add (2,4)=21, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,63],[0,3,41],[0,4,95],[0,5,18],[0,6,83],[1,2,28],[1,3,56],[1,4,71],[1,5,91],[1,6,10],[2,3,54],[2,4,21],[2,5,22],[2,6,1],[3,4,83],[3,5,19],[3,6,67],[4,5,85],[4,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (0,1)=10 Succeeded, w=11\",\"Add (1,6)=10 Succeeded, w=21\",\"Add (0,5)=18 Succeeded, w=39\",\"Add (3,5)=19 Succeeded, w=58\",\"Add (2,4)=21 Succeeded, w=79\",\"Add (2,5)=22 Failed, w=79\",\"Add (1,2)=28 Failed, w=79\",\"Add (0,3)=41 Failed, w=79\",\"Add (2,3)=54 Failed, w=79\",\"Add (1,3)=56 Failed, w=79\",\"Add (0,2)=63 Failed, w=79\",\"Add (3,6)=67 Failed, w=79\",\"Add (1,4)=71 Failed, w=79\",\"Add (0,6)=83 Failed, w=79\",\"Add (3,4)=83 Failed, w=79\",\"Add (4,5)=85 Failed, w=79\",\"Add (1,5)=91 Failed, w=79\",\"Add (4,6)=91 Failed, w=79\",\"Add (0,4)=95 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,63],[0,3,41],[0,4,95],[0,5,18],[0,6,83],[1,2,28],[1,3,56],[1,4,71],[1,5,91],[1,6,10],[2,3,54],[2,4,21],[2,5,22],[2,6,1],[3,4,83],[3,5,19],[3,6,67],[4,5,85],[4,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(0,1)=10,(1,6)=10,(0,5)=18,(3,5)=19,(2,4)=21,(2,5)=22,(1,2)=28,(0,3)=41,(2,3)=54,(1,3)=56,(0,2)=63,(3,6)=67,(1,4)=71,(0,6)=83,(3,4)=83,(4,5)=85,(1,5)=91,(4,6)=91,(0,4)=95]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=11\",\"Find(1)=0, Find(6)=2, Add (1,6)=10 Succeeded, w=21\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=39\",\"Find(3)=3, Find(5)=0, Add (3,5)=19 Succeeded, w=58\",\"Find(2)=0, Find(4)=4, Add (2,4)=21 Succeeded, w=79\",\"Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=79\",\"Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=79\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=79\",\"Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=79\",\"Find(0)=0, Find(6)=0, Add (0,6)=83 Failed, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=79\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=79\",\"Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=79\",\"Find(4)=0, Find(6)=0, Add (4,6)=91 Failed, w=79\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,63],[0,3,41],[0,4,95],[0,5,18],[0,6,83],[1,2,28],[1,3,56],[1,4,71],[1,5,91],[1,6,10],[2,3,54],[2,4,21],[2,5,22],[2,6,1],[3,4,83],[3,5,19],[3,6,67],[4,5,85],[4,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(0,1)=10,(1,6)=10,(0,5)=18,(3,5)=19,(2,4)=21,(2,5)=22,(1,2)=28,(0,3)=41,(2,3)=54,(1,3)=56,(0,2)=63,(3,6)=67,(1,4)=71,(0,6)=83,(3,4)=83,(4,5)=85,(1,5)=91,(4,6)=91,(0,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 2}, Find(1)=0, Find(6)=2, Add (1,6)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 2}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 2}, Find(3)=3, Find(5)=0, Add (3,5)=19 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(4)=4, Add (2,4)=21 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=83 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=91 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,5],[0,3,48],[0,4,100],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,5],[0,3,48],[0,4,100],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,5],[0,3,48],[0,4,100],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,5],[0,3,48],[0,4,100],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (0,3)=48, w=53\",\"Add (0,1)=57, w=110\",\"Add (3,4)=83, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,5],[0,3,48],[0,4,100],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (0,3)=48 Succeeded, w=53\",\"Add (0,1)=57 Succeeded, w=110\",\"Add (3,4)=83 Succeeded, w=193\",\"Add (0,4)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,5],[0,3,48],[0,4,100],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,3)=48,(0,1)=57,(3,4)=83,(0,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=110\",\"Find(3)=0, Find(4)=4, Add (3,4)=83 Succeeded, w=193\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,5],[0,3,48],[0,4,100],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,3)=48,(0,1)=57,(3,4)=83,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=83 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,20],[1,3,43],[2,3,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,3,43],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,3,43],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,3,43],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (2,3)=24, w=44\",\"Add (1,3)=43, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,3,43],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (2,3)=24 Succeeded, w=44\",\"Add (1,3)=43 Succeeded, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,3,43],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(2,3)=24,(1,3)=43]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=44\",\"Find(1)=0, Find(3)=2, Add (1,3)=43 Succeeded, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[1,3,43],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(2,3)=24,(1,3)=43]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(3)=2, Add (1,3)=43 Succeeded, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,2,86],[0,3,95],[0,5,94],[0,6,58],[0,7,7],[1,2,97],[1,3,42],[1,4,52],[1,5,49],[1,6,69],[1,7,84],[2,3,36],[2,4,68],[2,5,37],[2,6,14],[2,7,8],[3,4,15],[3,5,3],[3,6,33],[3,7,37],[4,5,9],[4,6,13],[4,7,59],[5,6,16],[5,7,54],[6,7,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,95],[0,5,94],[0,6,58],[0,7,7],[1,2,97],[1,3,42],[1,4,52],[1,5,49],[1,6,69],[1,7,84],[2,3,36],[2,4,68],[2,5,37],[2,6,14],[2,7,8],[3,4,15],[3,5,3],[3,6,33],[3,7,37],[4,5,9],[4,6,13],[4,7,59],[5,6,16],[5,7,54],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,95],[0,5,94],[0,6,58],[0,7,7],[1,2,97],[1,3,42],[1,4,52],[1,5,49],[1,6,69],[1,7,84],[2,3,36],[2,4,68],[2,5,37],[2,6,14],[2,7,8],[3,4,15],[3,5,3],[3,6,33],[3,7,37],[4,5,9],[4,6,13],[4,7,59],[5,6,16],[5,7,54],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,7)\",\"Add (2,7)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (6,7)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,95],[0,5,94],[0,6,58],[0,7,7],[1,2,97],[1,3,42],[1,4,52],[1,5,49],[1,6,69],[1,7,84],[2,3,36],[2,4,68],[2,5,37],[2,6,14],[2,7,8],[3,4,15],[3,5,3],[3,6,33],[3,7,37],[4,5,9],[4,6,13],[4,7,59],[5,6,16],[5,7,54],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (0,7)=7, w=10\",\"Add (2,7)=8, w=18\",\"Add (4,5)=9, w=27\",\"Add (0,1)=10, w=37\",\"Add (4,6)=13, w=50\",\"Add (6,7)=13, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,95],[0,5,94],[0,6,58],[0,7,7],[1,2,97],[1,3,42],[1,4,52],[1,5,49],[1,6,69],[1,7,84],[2,3,36],[2,4,68],[2,5,37],[2,6,14],[2,7,8],[3,4,15],[3,5,3],[3,6,33],[3,7,37],[4,5,9],[4,6,13],[4,7,59],[5,6,16],[5,7,54],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (0,7)=7 Succeeded, w=10\",\"Add (2,7)=8 Succeeded, w=18\",\"Add (4,5)=9 Succeeded, w=27\",\"Add (0,1)=10 Succeeded, w=37\",\"Add (4,6)=13 Succeeded, w=50\",\"Add (6,7)=13 Succeeded, w=63\",\"Add (2,6)=14 Failed, w=63\",\"Add (3,4)=15 Failed, w=63\",\"Add (5,6)=16 Failed, w=63\",\"Add (3,6)=33 Failed, w=63\",\"Add (2,3)=36 Failed, w=63\",\"Add (2,5)=37 Failed, w=63\",\"Add (3,7)=37 Failed, w=63\",\"Add (1,3)=42 Failed, w=63\",\"Add (1,5)=49 Failed, w=63\",\"Add (1,4)=52 Failed, w=63\",\"Add (5,7)=54 Failed, w=63\",\"Add (0,6)=58 Failed, w=63\",\"Add (4,7)=59 Failed, w=63\",\"Add (2,4)=68 Failed, w=63\",\"Add (1,6)=69 Failed, w=63\",\"Add (1,7)=84 Failed, w=63\",\"Add (0,2)=86 Failed, w=63\",\"Add (0,5)=94 Failed, w=63\",\"Add (0,3)=95 Failed, w=63\",\"Add (1,2)=97 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,95],[0,5,94],[0,6,58],[0,7,7],[1,2,97],[1,3,42],[1,4,52],[1,5,49],[1,6,69],[1,7,84],[2,3,36],[2,4,68],[2,5,37],[2,6,14],[2,7,8],[3,4,15],[3,5,3],[3,6,33],[3,7,37],[4,5,9],[4,6,13],[4,7,59],[5,6,16],[5,7,54],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(0,7)=7,(2,7)=8,(4,5)=9,(0,1)=10,(4,6)=13,(6,7)=13,(2,6)=14,(3,4)=15,(5,6)=16,(3,6)=33,(2,3)=36,(2,5)=37,(3,7)=37,(1,3)=42,(1,5)=49,(1,4)=52,(5,7)=54,(0,6)=58,(4,7)=59,(2,4)=68,(1,6)=69,(1,7)=84,(0,2)=86,(0,5)=94,(0,3)=95,(1,2)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(7)=7, Add (0,7)=7 Succeeded, w=10\",\"Find(2)=2, Find(7)=0, Add (2,7)=8 Succeeded, w=18\",\"Find(4)=4, Find(5)=3, Add (4,5)=9 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=37\",\"Find(4)=3, Find(6)=6, Add (4,6)=13 Succeeded, w=50\",\"Find(6)=3, Find(7)=0, Add (6,7)=13 Succeeded, w=63\",\"Find(2)=3, Find(6)=3, Add (2,6)=14 Failed, w=63\",\"Find(3)=3, Find(4)=3, Add (3,4)=15 Failed, w=63\",\"Find(5)=3, Find(6)=3, Add (5,6)=16 Failed, w=63\",\"Find(3)=3, Find(6)=3, Add (3,6)=33 Failed, w=63\",\"Find(2)=3, Find(3)=3, Add (2,3)=36 Failed, w=63\",\"Find(2)=3, Find(5)=3, Add (2,5)=37 Failed, w=63\",\"Find(3)=3, Find(7)=3, Add (3,7)=37 Failed, w=63\",\"Find(1)=3, Find(3)=3, Add (1,3)=42 Failed, w=63\",\"Find(1)=3, Find(5)=3, Add (1,5)=49 Failed, w=63\",\"Find(1)=3, Find(4)=3, Add (1,4)=52 Failed, w=63\",\"Find(5)=3, Find(7)=3, Add (5,7)=54 Failed, w=63\",\"Find(0)=3, Find(6)=3, Add (0,6)=58 Failed, w=63\",\"Find(4)=3, Find(7)=3, Add (4,7)=59 Failed, w=63\",\"Find(2)=3, Find(4)=3, Add (2,4)=68 Failed, w=63\",\"Find(1)=3, Find(6)=3, Add (1,6)=69 Failed, w=63\",\"Find(1)=3, Find(7)=3, Add (1,7)=84 Failed, w=63\",\"Find(0)=3, Find(2)=3, Add (0,2)=86 Failed, w=63\",\"Find(0)=3, Find(5)=3, Add (0,5)=94 Failed, w=63\",\"Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=63\",\"Find(1)=3, Find(2)=3, Add (1,2)=97 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,95],[0,5,94],[0,6,58],[0,7,7],[1,2,97],[1,3,42],[1,4,52],[1,5,49],[1,6,69],[1,7,84],[2,3,36],[2,4,68],[2,5,37],[2,6,14],[2,7,8],[3,4,15],[3,5,3],[3,6,33],[3,7,37],[4,5,9],[4,6,13],[4,7,59],[5,6,16],[5,7,54],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(0,7)=7,(2,7)=8,(4,5)=9,(0,1)=10,(4,6)=13,(6,7)=13,(2,6)=14,(3,4)=15,(5,6)=16,(3,6)=33,(2,3)=36,(2,5)=37,(3,7)=37,(1,3)=42,(1,5)=49,(1,4)=52,(5,7)=54,(0,6)=58,(4,7)=59,(2,4)=68,(1,6)=69,(1,7)=84,(0,2)=86,(0,5)=94,(0,3)=95,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6, 7: 0}, Find(4)=4, Find(5)=3, Add (4,5)=9 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(4)=3, Find(6)=6, Add (4,6)=13 Succeeded, w=50\",\"Parent: {0: 3, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(6)=3, Find(7)=0, Add (6,7)=13 Succeeded, w=63\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(2)=3, Find(6)=3, Add (2,6)=14 Failed, w=63\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(3)=3, Find(4)=3, Add (3,4)=15 Failed, w=63\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(5)=3, Find(6)=3, Add (5,6)=16 Failed, w=63\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(3)=3, Find(6)=3, Add (3,6)=33 Failed, w=63\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(2)=3, Find(3)=3, Add (2,3)=36 Failed, w=63\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(2)=3, Find(5)=3, Add (2,5)=37 Failed, w=63\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=37 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=42 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=49 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=52 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=54 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=58 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=59 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=68 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=69 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=84 Failed, w=63\",\"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)=86 Failed, w=63\",\"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)=94 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=97 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,43],[0,2,25],[0,5,59],[1,3,1],[1,4,66],[1,5,92],[2,3,7],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,25],[0,5,59],[1,3,1],[1,4,66],[1,5,92],[2,3,7],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,25],[0,5,59],[1,3,1],[1,4,66],[1,5,92],[2,3,7],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,25],[0,5,59],[1,3,1],[1,4,66],[1,5,92],[2,3,7],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (2,3)=7, w=8\",\"Add (0,2)=25, w=33\",\"Add (0,5)=59, w=92\",\"Add (1,4)=66, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,25],[0,5,59],[1,3,1],[1,4,66],[1,5,92],[2,3,7],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (2,3)=7 Succeeded, w=8\",\"Add (0,2)=25 Succeeded, w=33\",\"Add (0,1)=43 Failed, w=33\",\"Add (0,5)=59 Succeeded, w=92\",\"Add (1,4)=66 Succeeded, w=158\",\"Add (3,4)=81 Failed, w=158\",\"Add (1,5)=92 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,25],[0,5,59],[1,3,1],[1,4,66],[1,5,92],[2,3,7],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(2,3)=7,(0,2)=25,(0,1)=43,(0,5)=59,(1,4)=66,(3,4)=81,(1,5)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=1, Add (2,3)=7 Succeeded, w=8\",\"Find(0)=0, Find(2)=1, Add (0,2)=25 Succeeded, w=33\",\"Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=33\",\"Find(0)=1, Find(5)=5, Add (0,5)=59 Succeeded, w=92\",\"Find(1)=1, Find(4)=4, Add (1,4)=66 Succeeded, w=158\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=158\",\"Find(1)=1, Find(5)=1, Add (1,5)=92 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,25],[0,5,59],[1,3,1],[1,4,66],[1,5,92],[2,3,7],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(2,3)=7,(0,2)=25,(0,1)=43,(0,5)=59,(1,4)=66,(3,4)=81,(1,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=2, Find(3)=1, Add (2,3)=7 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=25 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=59 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=66 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=92 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,5],[0,2,85],[0,3,49],[0,4,56],[0,5,30],[1,3,9],[1,5,54],[2,3,39],[2,4,81],[3,4,25],[3,5,53],[4,5,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,85],[0,3,49],[0,4,56],[0,5,30],[1,3,9],[1,5,54],[2,3,39],[2,4,81],[3,4,25],[3,5,53],[4,5,36]]}",
"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\":[[0,1,5],[0,2,85],[0,3,49],[0,4,56],[0,5,30],[1,3,9],[1,5,54],[2,3,39],[2,4,81],[3,4,25],[3,5,53],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,85],[0,3,49],[0,4,56],[0,5,30],[1,3,9],[1,5,54],[2,3,39],[2,4,81],[3,4,25],[3,5,53],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,3)=9, w=14\",\"Add (3,4)=25, w=39\",\"Add (0,5)=30, w=69\",\"Add (2,3)=39, 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\":[[0,1,5],[0,2,85],[0,3,49],[0,4,56],[0,5,30],[1,3,9],[1,5,54],[2,3,39],[2,4,81],[3,4,25],[3,5,53],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,3)=9 Succeeded, w=14\",\"Add (3,4)=25 Succeeded, w=39\",\"Add (0,5)=30 Succeeded, w=69\",\"Add (4,5)=36 Failed, w=69\",\"Add (2,3)=39 Succeeded, w=108\",\"Add (0,3)=49 Failed, w=108\",\"Add (3,5)=53 Failed, w=108\",\"Add (1,5)=54 Failed, w=108\",\"Add (0,4)=56 Failed, w=108\",\"Add (2,4)=81 Failed, w=108\",\"Add (0,2)=85 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\":[[0,1,5],[0,2,85],[0,3,49],[0,4,56],[0,5,30],[1,3,9],[1,5,54],[2,3,39],[2,4,81],[3,4,25],[3,5,53],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,3)=9,(3,4)=25,(0,5)=30,(4,5)=36,(2,3)=39,(0,3)=49,(3,5)=53,(1,5)=54,(0,4)=56,(2,4)=81,(0,2)=85]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(3)=3, Add (1,3)=9 Succeeded, w=14\",\"Find(3)=0, Find(4)=4, Add (3,4)=25 Succeeded, w=39\",\"Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=69\",\"Find(4)=0, Find(5)=0, Add (4,5)=36 Failed, w=69\",\"Find(2)=2, Find(3)=0, Add (2,3)=39 Succeeded, w=108\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=108\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=108\",\"Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=108\",\"Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=108\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=108\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 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\":[[0,1,5],[0,2,85],[0,3,49],[0,4,56],[0,5,30],[1,3,9],[1,5,54],[2,3,39],[2,4,81],[3,4,25],[3,5,53],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,3)=9,(3,4)=25,(0,5)=30,(4,5)=36,(2,3)=39,(0,3)=49,(3,5)=53,(1,5)=54,(0,4)=56,(2,4)=81,(0,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=25 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=36 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=39 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,85],[0,3,73],[0,4,97],[0,6,62],[0,7,47],[1,2,29],[1,3,99],[1,5,53],[1,6,84],[1,7,43],[2,3,50],[2,4,79],[2,6,91],[3,5,86],[3,6,40],[4,5,57],[4,6,88],[4,7,71],[5,6,31],[5,7,89],[6,7,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,73],[0,4,97],[0,6,62],[0,7,47],[1,2,29],[1,3,99],[1,5,53],[1,6,84],[1,7,43],[2,3,50],[2,4,79],[2,6,91],[3,5,86],[3,6,40],[4,5,57],[4,6,88],[4,7,71],[5,6,31],[5,7,89],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,73],[0,4,97],[0,6,62],[0,7,47],[1,2,29],[1,3,99],[1,5,53],[1,6,84],[1,7,43],[2,3,50],[2,4,79],[2,6,91],[3,5,86],[3,6,40],[4,5,57],[4,6,88],[4,7,71],[5,6,31],[5,7,89],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (5,6)\",\"Add (3,6)\",\"Add (1,7)\",\"Add (0,7)\",\"Add (2,3)\",\"Add (4,5)\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,73],[0,4,97],[0,6,62],[0,7,47],[1,2,29],[1,3,99],[1,5,53],[1,6,84],[1,7,43],[2,3,50],[2,4,79],[2,6,91],[3,5,86],[3,6,40],[4,5,57],[4,6,88],[4,7,71],[5,6,31],[5,7,89],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=29, w=29\",\"Add (5,6)=31, w=60\",\"Add (3,6)=40, w=100\",\"Add (1,7)=43, w=143\",\"Add (0,7)=47, w=190\",\"Add (2,3)=50, w=240\",\"Add (4,5)=57, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,73],[0,4,97],[0,6,62],[0,7,47],[1,2,29],[1,3,99],[1,5,53],[1,6,84],[1,7,43],[2,3,50],[2,4,79],[2,6,91],[3,5,86],[3,6,40],[4,5,57],[4,6,88],[4,7,71],[5,6,31],[5,7,89],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=29 Succeeded, w=29\",\"Add (5,6)=31 Succeeded, w=60\",\"Add (3,6)=40 Succeeded, w=100\",\"Add (1,7)=43 Succeeded, w=143\",\"Add (0,7)=47 Succeeded, w=190\",\"Add (2,3)=50 Succeeded, w=240\",\"Add (1,5)=53 Failed, w=240\",\"Add (4,5)=57 Succeeded, w=297\",\"Add (0,6)=62 Failed, w=297\",\"Add (4,7)=71 Failed, w=297\",\"Add (0,3)=73 Failed, w=297\",\"Add (2,4)=79 Failed, w=297\",\"Add (6,7)=81 Failed, w=297\",\"Add (1,6)=84 Failed, w=297\",\"Add (0,2)=85 Failed, w=297\",\"Add (3,5)=86 Failed, w=297\",\"Add (4,6)=88 Failed, w=297\",\"Add (5,7)=89 Failed, w=297\",\"Add (2,6)=91 Failed, w=297\",\"Add (0,4)=97 Failed, w=297\",\"Add (1,3)=99 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,73],[0,4,97],[0,6,62],[0,7,47],[1,2,29],[1,3,99],[1,5,53],[1,6,84],[1,7,43],[2,3,50],[2,4,79],[2,6,91],[3,5,86],[3,6,40],[4,5,57],[4,6,88],[4,7,71],[5,6,31],[5,7,89],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=29,(5,6)=31,(3,6)=40,(1,7)=43,(0,7)=47,(2,3)=50,(1,5)=53,(4,5)=57,(0,6)=62,(4,7)=71,(0,3)=73,(2,4)=79,(6,7)=81,(1,6)=84,(0,2)=85,(3,5)=86,(4,6)=88,(5,7)=89,(2,6)=91,(0,4)=97,(1,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=29\",\"Find(5)=5, Find(6)=6, Add (5,6)=31 Succeeded, w=60\",\"Find(3)=3, Find(6)=5, Add (3,6)=40 Succeeded, w=100\",\"Find(1)=1, Find(7)=7, Add (1,7)=43 Succeeded, w=143\",\"Find(0)=0, Find(7)=1, Add (0,7)=47 Succeeded, w=190\",\"Find(2)=1, Find(3)=5, Add (2,3)=50 Succeeded, w=240\",\"Find(1)=1, Find(5)=1, Add (1,5)=53 Failed, w=240\",\"Find(4)=4, Find(5)=1, Add (4,5)=57 Succeeded, w=297\",\"Find(0)=1, Find(6)=1, Add (0,6)=62 Failed, w=297\",\"Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=297\",\"Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=297\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=297\",\"Find(6)=1, Find(7)=1, Add (6,7)=81 Failed, w=297\",\"Find(1)=1, Find(6)=1, Add (1,6)=84 Failed, w=297\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=297\",\"Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=297\",\"Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=297\",\"Find(5)=1, Find(7)=1, Add (5,7)=89 Failed, w=297\",\"Find(2)=1, Find(6)=1, Add (2,6)=91 Failed, w=297\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=297\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,85],[0,3,73],[0,4,97],[0,6,62],[0,7,47],[1,2,29],[1,3,99],[1,5,53],[1,6,84],[1,7,43],[2,3,50],[2,4,79],[2,6,91],[3,5,86],[3,6,40],[4,5,57],[4,6,88],[4,7,71],[5,6,31],[5,7,89],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=29,(5,6)=31,(3,6)=40,(1,7)=43,(0,7)=47,(2,3)=50,(1,5)=53,(4,5)=57,(0,6)=62,(4,7)=71,(0,3)=73,(2,4)=79,(6,7)=81,(1,6)=84,(0,2)=85,(3,5)=86,(4,6)=88,(5,7)=89,(2,6)=91,(0,4)=97,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=31 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 7}, Find(3)=3, Find(6)=5, Add (3,6)=40 Succeeded, w=100\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=43 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=47 Succeeded, w=190\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 4, 5: 1, 6: 5, 7: 1}, Find(2)=1, Find(3)=5, Add (2,3)=50 Succeeded, w=240\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 4, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=53 Failed, w=240\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 5, 7: 1}, Find(4)=4, Find(5)=1, Add (4,5)=57 Succeeded, w=297\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=62 Failed, w=297\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=297\",\"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)=73 Failed, w=297\",\"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)=79 Failed, w=297\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=81 Failed, w=297\",\"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)=84 Failed, w=297\",\"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)=85 Failed, w=297\",\"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)=86 Failed, w=297\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=297\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=89 Failed, w=297\",\"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)=91 Failed, w=297\",\"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)=97 Failed, w=297\",\"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)=99 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,8],[0,3,72],[0,4,28],[1,2,70],[1,3,30],[1,4,41],[2,3,85],[2,4,11],[3,4,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,8],[0,3,72],[0,4,28],[1,2,70],[1,3,30],[1,4,41],[2,3,85],[2,4,11],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,8],[0,3,72],[0,4,28],[1,2,70],[1,3,30],[1,4,41],[2,3,85],[2,4,11],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,8],[0,3,72],[0,4,28],[1,2,70],[1,3,30],[1,4,41],[2,3,85],[2,4,11],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (2,4)=11, w=19\",\"Add (1,3)=30, w=49\",\"Add (0,1)=32, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,8],[0,3,72],[0,4,28],[1,2,70],[1,3,30],[1,4,41],[2,3,85],[2,4,11],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (2,4)=11 Succeeded, w=19\",\"Add (0,4)=28 Failed, w=19\",\"Add (1,3)=30 Succeeded, w=49\",\"Add (0,1)=32 Succeeded, w=81\",\"Add (1,4)=41 Failed, w=81\",\"Add (1,2)=70 Failed, w=81\",\"Add (0,3)=72 Failed, w=81\",\"Add (3,4)=73 Failed, w=81\",\"Add (2,3)=85 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,8],[0,3,72],[0,4,28],[1,2,70],[1,3,30],[1,4,41],[2,3,85],[2,4,11],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(2,4)=11,(0,4)=28,(1,3)=30,(0,1)=32,(1,4)=41,(1,2)=70,(0,3)=72,(3,4)=73,(2,3)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(2)=0, Find(4)=4, Add (2,4)=11 Succeeded, w=19\",\"Find(0)=0, Find(4)=0, Add (0,4)=28 Failed, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=49\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=81\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=81\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=81\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,8],[0,3,72],[0,4,28],[1,2,70],[1,3,30],[1,4,41],[2,3,85],[2,4,11],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(2,4)=11,(0,4)=28,(1,3)=30,(0,1)=32,(1,4)=41,(1,2)=70,(0,3)=72,(3,4)=73,(2,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=28 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,47],[0,2,99],[0,3,29],[0,6,36],[0,7,4],[1,2,35],[1,4,99],[1,5,8],[2,3,90],[2,4,71],[2,5,73],[3,4,23],[3,5,26],[3,6,79],[3,7,23],[4,5,5],[4,6,56],[4,7,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,99],[0,3,29],[0,6,36],[0,7,4],[1,2,35],[1,4,99],[1,5,8],[2,3,90],[2,4,71],[2,5,73],[3,4,23],[3,5,26],[3,6,79],[3,7,23],[4,5,5],[4,6,56],[4,7,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,99],[0,3,29],[0,6,36],[0,7,4],[1,2,35],[1,4,99],[1,5,8],[2,3,90],[2,4,71],[2,5,73],[3,4,23],[3,5,26],[3,6,79],[3,7,23],[4,5,5],[4,6,56],[4,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (3,7)\",\"Add (1,2)\",\"Add (0,6)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,99],[0,3,29],[0,6,36],[0,7,4],[1,2,35],[1,4,99],[1,5,8],[2,3,90],[2,4,71],[2,5,73],[3,4,23],[3,5,26],[3,6,79],[3,7,23],[4,5,5],[4,6,56],[4,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=4, w=4\",\"Add (4,5)=5, w=9\",\"Add (1,5)=8, w=17\",\"Add (3,4)=23, w=40\",\"Add (3,7)=23, w=63\",\"Add (1,2)=35, w=98\",\"Add (0,6)=36, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,99],[0,3,29],[0,6,36],[0,7,4],[1,2,35],[1,4,99],[1,5,8],[2,3,90],[2,4,71],[2,5,73],[3,4,23],[3,5,26],[3,6,79],[3,7,23],[4,5,5],[4,6,56],[4,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=4 Succeeded, w=4\",\"Add (4,5)=5 Succeeded, w=9\",\"Add (1,5)=8 Succeeded, w=17\",\"Add (3,4)=23 Succeeded, w=40\",\"Add (3,7)=23 Succeeded, w=63\",\"Add (3,5)=26 Failed, w=63\",\"Add (0,3)=29 Failed, w=63\",\"Add (1,2)=35 Succeeded, w=98\",\"Add (0,6)=36 Succeeded, w=134\",\"Add (0,1)=47 Failed, w=134\",\"Add (4,6)=56 Failed, w=134\",\"Add (2,4)=71 Failed, w=134\",\"Add (2,5)=73 Failed, w=134\",\"Add (3,6)=79 Failed, w=134\",\"Add (2,3)=90 Failed, w=134\",\"Add (4,7)=96 Failed, w=134\",\"Add (0,2)=99 Failed, w=134\",\"Add (1,4)=99 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,99],[0,3,29],[0,6,36],[0,7,4],[1,2,35],[1,4,99],[1,5,8],[2,3,90],[2,4,71],[2,5,73],[3,4,23],[3,5,26],[3,6,79],[3,7,23],[4,5,5],[4,6,56],[4,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=4,(4,5)=5,(1,5)=8,(3,4)=23,(3,7)=23,(3,5)=26,(0,3)=29,(1,2)=35,(0,6)=36,(0,1)=47,(4,6)=56,(2,4)=71,(2,5)=73,(3,6)=79,(2,3)=90,(4,7)=96,(0,2)=99,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=4\",\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=9\",\"Find(1)=1, Find(5)=4, Add (1,5)=8 Succeeded, w=17\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=40\",\"Find(3)=4, Find(7)=0, Add (3,7)=23 Succeeded, w=63\",\"Find(3)=4, Find(5)=4, Add (3,5)=26 Failed, w=63\",\"Find(0)=4, Find(3)=4, Add (0,3)=29 Failed, w=63\",\"Find(1)=4, Find(2)=2, Add (1,2)=35 Succeeded, w=98\",\"Find(0)=4, Find(6)=6, Add (0,6)=36 Succeeded, w=134\",\"Find(0)=4, Find(1)=4, Add (0,1)=47 Failed, w=134\",\"Find(4)=4, Find(6)=4, Add (4,6)=56 Failed, w=134\",\"Find(2)=4, Find(4)=4, Add (2,4)=71 Failed, w=134\",\"Find(2)=4, Find(5)=4, Add (2,5)=73 Failed, w=134\",\"Find(3)=4, Find(6)=4, Add (3,6)=79 Failed, w=134\",\"Find(2)=4, Find(3)=4, Add (2,3)=90 Failed, w=134\",\"Find(4)=4, Find(7)=4, Add (4,7)=96 Failed, w=134\",\"Find(0)=4, Find(2)=4, Add (0,2)=99 Failed, w=134\",\"Find(1)=4, Find(4)=4, Add (1,4)=99 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,99],[0,3,29],[0,6,36],[0,7,4],[1,2,35],[1,4,99],[1,5,8],[2,3,90],[2,4,71],[2,5,73],[3,4,23],[3,5,26],[3,6,79],[3,7,23],[4,5,5],[4,6,56],[4,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=4,(4,5)=5,(1,5)=8,(3,4)=23,(3,7)=23,(3,5)=26,(0,3)=29,(1,2)=35,(0,6)=36,(0,1)=47,(4,6)=56,(2,4)=71,(2,5)=73,(3,6)=79,(2,3)=90,(4,7)=96,(0,2)=99,(1,4)=99]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 0}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 0}, Find(1)=1, Find(5)=4, Add (1,5)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 0}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=40\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 0}, Find(3)=4, Find(7)=0, Add (3,7)=23 Succeeded, w=63\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 0}, Find(3)=4, Find(5)=4, Add (3,5)=26 Failed, w=63\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 0}, Find(0)=4, Find(3)=4, Add (0,3)=29 Failed, w=63\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 0}, Find(1)=4, Find(2)=2, Add (1,2)=35 Succeeded, w=98\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(0)=4, Find(6)=6, Add (0,6)=36 Succeeded, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(0)=4, Find(1)=4, Add (0,1)=47 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(4)=4, Find(6)=4, Add (4,6)=56 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(2)=4, Find(4)=4, Add (2,4)=71 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(2)=4, Find(5)=4, Add (2,5)=73 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(3)=4, Find(6)=4, Add (3,6)=79 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(2)=4, Find(3)=4, Add (2,3)=90 Failed, w=134\",\"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)=96 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=99 Failed, w=134\",\"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)=99 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,2,18],[0,4,22],[0,6,20],[1,2,79],[1,5,56],[1,6,39],[2,3,53],[2,4,99],[2,6,16],[3,4,27],[3,5,30],[4,5,69],[5,6,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,18],[0,4,22],[0,6,20],[1,2,79],[1,5,56],[1,6,39],[2,3,53],[2,4,99],[2,6,16],[3,4,27],[3,5,30],[4,5,69],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,18],[0,4,22],[0,6,20],[1,2,79],[1,5,56],[1,6,39],[2,3,53],[2,4,99],[2,6,16],[3,4,27],[3,5,30],[4,5,69],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (1,6)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,18],[0,4,22],[0,6,20],[1,2,79],[1,5,56],[1,6,39],[2,3,53],[2,4,99],[2,6,16],[3,4,27],[3,5,30],[4,5,69],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=16, w=16\",\"Add (0,2)=18, w=34\",\"Add (0,4)=22, w=56\",\"Add (3,4)=27, w=83\",\"Add (3,5)=30, w=113\",\"Add (1,6)=39, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,18],[0,4,22],[0,6,20],[1,2,79],[1,5,56],[1,6,39],[2,3,53],[2,4,99],[2,6,16],[3,4,27],[3,5,30],[4,5,69],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=16 Succeeded, w=16\",\"Add (0,2)=18 Succeeded, w=34\",\"Add (0,6)=20 Failed, w=34\",\"Add (0,4)=22 Succeeded, w=56\",\"Add (3,4)=27 Succeeded, w=83\",\"Add (3,5)=30 Succeeded, w=113\",\"Add (1,6)=39 Succeeded, w=152\",\"Add (2,3)=53 Failed, w=152\",\"Add (1,5)=56 Failed, w=152\",\"Add (5,6)=56 Failed, w=152\",\"Add (4,5)=69 Failed, w=152\",\"Add (0,1)=71 Failed, w=152\",\"Add (1,2)=79 Failed, w=152\",\"Add (2,4)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,18],[0,4,22],[0,6,20],[1,2,79],[1,5,56],[1,6,39],[2,3,53],[2,4,99],[2,6,16],[3,4,27],[3,5,30],[4,5,69],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=16,(0,2)=18,(0,6)=20,(0,4)=22,(3,4)=27,(3,5)=30,(1,6)=39,(2,3)=53,(1,5)=56,(5,6)=56,(4,5)=69,(0,1)=71,(1,2)=79,(2,4)=99]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=34\",\"Find(0)=2, Find(6)=2, Add (0,6)=20 Failed, w=34\",\"Find(0)=2, Find(4)=4, Add (0,4)=22 Succeeded, w=56\",\"Find(3)=3, Find(4)=2, Add (3,4)=27 Succeeded, w=83\",\"Find(3)=2, Find(5)=5, Add (3,5)=30 Succeeded, w=113\",\"Find(1)=1, Find(6)=2, Add (1,6)=39 Succeeded, w=152\",\"Find(2)=2, Find(3)=2, Add (2,3)=53 Failed, w=152\",\"Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=152\",\"Find(5)=2, Find(6)=2, Add (5,6)=56 Failed, w=152\",\"Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=152\",\"Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=152\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=152\",\"Find(2)=2, Find(4)=2, Add (2,4)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,18],[0,4,22],[0,6,20],[1,2,79],[1,5,56],[1,6,39],[2,3,53],[2,4,99],[2,6,16],[3,4,27],[3,5,30],[4,5,69],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=16,(0,2)=18,(0,6)=20,(0,4)=22,(3,4)=27,(3,5)=30,(1,6)=39,(2,3)=53,(1,5)=56,(5,6)=56,(4,5)=69,(0,1)=71,(1,2)=79,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=16 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=20 Failed, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(4)=4, Add (0,4)=22 Succeeded, w=56\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=3, Find(4)=2, Add (3,4)=27 Succeeded, w=83\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=30 Succeeded, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=39 Succeeded, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=53 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=56 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=99 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,96],[0,4,84],[0,5,75],[0,6,34],[1,2,65],[1,3,32],[1,4,22],[1,5,78],[1,6,53],[2,3,46],[2,4,13],[2,5,62],[2,6,41],[3,4,29],[3,5,75],[4,5,76],[4,6,43],[5,6,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,84],[0,5,75],[0,6,34],[1,2,65],[1,3,32],[1,4,22],[1,5,78],[1,6,53],[2,3,46],[2,4,13],[2,5,62],[2,6,41],[3,4,29],[3,5,75],[4,5,76],[4,6,43],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,84],[0,5,75],[0,6,34],[1,2,65],[1,3,32],[1,4,22],[1,5,78],[1,6,53],[2,3,46],[2,4,13],[2,5,62],[2,6,41],[3,4,29],[3,5,75],[4,5,76],[4,6,43],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (2,6)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,84],[0,5,75],[0,6,34],[1,2,65],[1,3,32],[1,4,22],[1,5,78],[1,6,53],[2,3,46],[2,4,13],[2,5,62],[2,6,41],[3,4,29],[3,5,75],[4,5,76],[4,6,43],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=13, w=13\",\"Add (1,4)=22, w=35\",\"Add (5,6)=24, w=59\",\"Add (3,4)=29, w=88\",\"Add (0,6)=34, w=122\",\"Add (2,6)=41, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,84],[0,5,75],[0,6,34],[1,2,65],[1,3,32],[1,4,22],[1,5,78],[1,6,53],[2,3,46],[2,4,13],[2,5,62],[2,6,41],[3,4,29],[3,5,75],[4,5,76],[4,6,43],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=13 Succeeded, w=13\",\"Add (1,4)=22 Succeeded, w=35\",\"Add (5,6)=24 Succeeded, w=59\",\"Add (3,4)=29 Succeeded, w=88\",\"Add (1,3)=32 Failed, w=88\",\"Add (0,6)=34 Succeeded, w=122\",\"Add (2,6)=41 Succeeded, w=163\",\"Add (4,6)=43 Failed, w=163\",\"Add (2,3)=46 Failed, w=163\",\"Add (1,6)=53 Failed, w=163\",\"Add (2,5)=62 Failed, w=163\",\"Add (1,2)=65 Failed, w=163\",\"Add (0,5)=75 Failed, w=163\",\"Add (3,5)=75 Failed, w=163\",\"Add (4,5)=76 Failed, w=163\",\"Add (1,5)=78 Failed, w=163\",\"Add (0,4)=84 Failed, w=163\",\"Add (0,1)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,84],[0,5,75],[0,6,34],[1,2,65],[1,3,32],[1,4,22],[1,5,78],[1,6,53],[2,3,46],[2,4,13],[2,5,62],[2,6,41],[3,4,29],[3,5,75],[4,5,76],[4,6,43],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=13,(1,4)=22,(5,6)=24,(3,4)=29,(1,3)=32,(0,6)=34,(2,6)=41,(4,6)=43,(2,3)=46,(1,6)=53,(2,5)=62,(1,2)=65,(0,5)=75,(3,5)=75,(4,5)=76,(1,5)=78,(0,4)=84,(0,1)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=13\",\"Find(1)=1, Find(4)=2, Add (1,4)=22 Succeeded, w=35\",\"Find(5)=5, Find(6)=6, Add (5,6)=24 Succeeded, w=59\",\"Find(3)=3, Find(4)=2, Add (3,4)=29 Succeeded, w=88\",\"Find(1)=2, Find(3)=2, Add (1,3)=32 Failed, w=88\",\"Find(0)=0, Find(6)=5, Add (0,6)=34 Succeeded, w=122\",\"Find(2)=2, Find(6)=5, Add (2,6)=41 Succeeded, w=163\",\"Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=163\",\"Find(2)=2, Find(3)=2, Add (2,3)=46 Failed, w=163\",\"Find(1)=2, Find(6)=2, Add (1,6)=53 Failed, w=163\",\"Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=163\",\"Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=163\",\"Find(0)=2, Find(5)=2, Add (0,5)=75 Failed, w=163\",\"Find(3)=2, Find(5)=2, Add (3,5)=75 Failed, w=163\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=163\",\"Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=163\",\"Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=163\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,84],[0,5,75],[0,6,34],[1,2,65],[1,3,32],[1,4,22],[1,5,78],[1,6,53],[2,3,46],[2,4,13],[2,5,62],[2,6,41],[3,4,29],[3,5,75],[4,5,76],[4,6,43],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=13,(1,4)=22,(5,6)=24,(3,4)=29,(1,3)=32,(0,6)=34,(2,6)=41,(4,6)=43,(2,3)=46,(1,6)=53,(2,5)=62,(1,2)=65,(0,5)=75,(3,5)=75,(4,5)=76,(1,5)=78,(0,4)=84,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(4)=2, Add (1,4)=22 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=24 Succeeded, w=59\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(3)=3, Find(4)=2, Add (3,4)=29 Succeeded, w=88\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(1)=2, Find(3)=2, Add (1,3)=32 Failed, w=88\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=34 Succeeded, w=122\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=41 Succeeded, w=163\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=163\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=46 Failed, w=163\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=53 Failed, w=163\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=163\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=75 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=75 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,13],[0,2,47],[0,3,13],[0,4,73],[1,2,69],[1,4,62],[2,3,24],[2,4,10],[3,4,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,47],[0,3,13],[0,4,73],[1,2,69],[1,4,62],[2,3,24],[2,4,10],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,47],[0,3,13],[0,4,73],[1,2,69],[1,4,62],[2,3,24],[2,4,10],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,47],[0,3,13],[0,4,73],[1,2,69],[1,4,62],[2,3,24],[2,4,10],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (0,1)=13, w=23\",\"Add (0,3)=13, w=36\",\"Add (2,3)=24, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,47],[0,3,13],[0,4,73],[1,2,69],[1,4,62],[2,3,24],[2,4,10],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (0,1)=13 Succeeded, w=23\",\"Add (0,3)=13 Succeeded, w=36\",\"Add (2,3)=24 Succeeded, w=60\",\"Add (0,2)=47 Failed, w=60\",\"Add (1,4)=62 Failed, w=60\",\"Add (1,2)=69 Failed, w=60\",\"Add (0,4)=73 Failed, w=60\",\"Add (3,4)=89 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,47],[0,3,13],[0,4,73],[1,2,69],[1,4,62],[2,3,24],[2,4,10],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(0,1)=13,(0,3)=13,(2,3)=24,(0,2)=47,(1,4)=62,(1,2)=69,(0,4)=73,(3,4)=89]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=36\",\"Find(2)=2, Find(3)=0, Add (2,3)=24 Succeeded, w=60\",\"Find(0)=2, Find(2)=2, Add (0,2)=47 Failed, w=60\",\"Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=60\",\"Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=60\",\"Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=60\",\"Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,47],[0,3,13],[0,4,73],[1,2,69],[1,4,62],[2,3,24],[2,4,10],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(0,1)=13,(0,3)=13,(2,3)=24,(0,2)=47,(1,4)=62,(1,2)=69,(0,4)=73,(3,4)=89]\",\"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: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=36\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=24 Succeeded, w=60\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=47 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,77],[0,2,76],[0,3,31],[0,5,47],[1,3,4],[2,3,65],[3,4,33],[4,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,76],[0,3,31],[0,5,47],[1,3,4],[2,3,65],[3,4,33],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,76],[0,3,31],[0,5,47],[1,3,4],[2,3,65],[3,4,33],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,76],[0,3,31],[0,5,47],[1,3,4],[2,3,65],[3,4,33],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,3)=31, w=35\",\"Add (3,4)=33, w=68\",\"Add (0,5)=47, w=115\",\"Add (2,3)=65, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,76],[0,3,31],[0,5,47],[1,3,4],[2,3,65],[3,4,33],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,3)=31 Succeeded, w=35\",\"Add (3,4)=33 Succeeded, w=68\",\"Add (0,5)=47 Succeeded, w=115\",\"Add (4,5)=54 Failed, w=115\",\"Add (2,3)=65 Succeeded, w=180\",\"Add (0,2)=76 Failed, w=180\",\"Add (0,1)=77 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,76],[0,3,31],[0,5,47],[1,3,4],[2,3,65],[3,4,33],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,3)=31,(3,4)=33,(0,5)=47,(4,5)=54,(2,3)=65,(0,2)=76,(0,1)=77]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=35\",\"Find(3)=1, Find(4)=4, Add (3,4)=33 Succeeded, w=68\",\"Find(0)=1, Find(5)=5, Add (0,5)=47 Succeeded, w=115\",\"Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=115\",\"Find(2)=2, Find(3)=1, Add (2,3)=65 Succeeded, w=180\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=180\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,76],[0,3,31],[0,5,47],[1,3,4],[2,3,65],[3,4,33],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,3)=31,(3,4)=33,(0,5)=47,(4,5)=54,(2,3)=65,(0,2)=76,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=33 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=47 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=65 Succeeded, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,2,90],[0,3,14],[0,4,100],[0,5,54],[0,6,61],[0,7,16],[1,2,78],[1,3,50],[1,4,75],[1,5,61],[1,6,73],[1,7,31],[2,3,73],[2,4,2],[2,5,65],[2,6,58],[2,7,88],[3,4,18],[3,6,8],[3,7,36],[4,5,43],[4,6,79],[4,7,20],[5,6,9],[6,7,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,90],[0,3,14],[0,4,100],[0,5,54],[0,6,61],[0,7,16],[1,2,78],[1,3,50],[1,4,75],[1,5,61],[1,6,73],[1,7,31],[2,3,73],[2,4,2],[2,5,65],[2,6,58],[2,7,88],[3,4,18],[3,6,8],[3,7,36],[4,5,43],[4,6,79],[4,7,20],[5,6,9],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,90],[0,3,14],[0,4,100],[0,5,54],[0,6,61],[0,7,16],[1,2,78],[1,3,50],[1,4,75],[1,5,61],[1,6,73],[1,7,31],[2,3,73],[2,4,2],[2,5,65],[2,6,58],[2,7,88],[3,4,18],[3,6,8],[3,7,36],[4,5,43],[4,6,79],[4,7,20],[5,6,9],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (0,7)\",\"Add (3,4)\",\"Add (1,7)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,90],[0,3,14],[0,4,100],[0,5,54],[0,6,61],[0,7,16],[1,2,78],[1,3,50],[1,4,75],[1,5,61],[1,6,73],[1,7,31],[2,3,73],[2,4,2],[2,5,65],[2,6,58],[2,7,88],[3,4,18],[3,6,8],[3,7,36],[4,5,43],[4,6,79],[4,7,20],[5,6,9],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (3,6)=8, w=10\",\"Add (5,6)=9, w=19\",\"Add (0,3)=14, w=33\",\"Add (0,7)=16, w=49\",\"Add (3,4)=18, w=67\",\"Add (1,7)=31, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,90],[0,3,14],[0,4,100],[0,5,54],[0,6,61],[0,7,16],[1,2,78],[1,3,50],[1,4,75],[1,5,61],[1,6,73],[1,7,31],[2,3,73],[2,4,2],[2,5,65],[2,6,58],[2,7,88],[3,4,18],[3,6,8],[3,7,36],[4,5,43],[4,6,79],[4,7,20],[5,6,9],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (3,6)=8 Succeeded, w=10\",\"Add (5,6)=9 Succeeded, w=19\",\"Add (0,3)=14 Succeeded, w=33\",\"Add (0,7)=16 Succeeded, w=49\",\"Add (3,4)=18 Succeeded, w=67\",\"Add (4,7)=20 Failed, w=67\",\"Add (1,7)=31 Succeeded, w=98\",\"Add (6,7)=34 Failed, w=98\",\"Add (3,7)=36 Failed, w=98\",\"Add (4,5)=43 Failed, w=98\",\"Add (0,1)=49 Failed, w=98\",\"Add (1,3)=50 Failed, w=98\",\"Add (0,5)=54 Failed, w=98\",\"Add (2,6)=58 Failed, w=98\",\"Add (0,6)=61 Failed, w=98\",\"Add (1,5)=61 Failed, w=98\",\"Add (2,5)=65 Failed, w=98\",\"Add (1,6)=73 Failed, w=98\",\"Add (2,3)=73 Failed, w=98\",\"Add (1,4)=75 Failed, w=98\",\"Add (1,2)=78 Failed, w=98\",\"Add (4,6)=79 Failed, w=98\",\"Add (2,7)=88 Failed, w=98\",\"Add (0,2)=90 Failed, w=98\",\"Add (0,4)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,90],[0,3,14],[0,4,100],[0,5,54],[0,6,61],[0,7,16],[1,2,78],[1,3,50],[1,4,75],[1,5,61],[1,6,73],[1,7,31],[2,3,73],[2,4,2],[2,5,65],[2,6,58],[2,7,88],[3,4,18],[3,6,8],[3,7,36],[4,5,43],[4,6,79],[4,7,20],[5,6,9],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(3,6)=8,(5,6)=9,(0,3)=14,(0,7)=16,(3,4)=18,(4,7)=20,(1,7)=31,(6,7)=34,(3,7)=36,(4,5)=43,(0,1)=49,(1,3)=50,(0,5)=54,(2,6)=58,(0,6)=61,(1,5)=61,(2,5)=65,(1,6)=73,(2,3)=73,(1,4)=75,(1,2)=78,(4,6)=79,(2,7)=88,(0,2)=90,(0,4)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=10\",\"Find(5)=5, Find(6)=3, Add (5,6)=9 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=33\",\"Find(0)=3, Find(7)=7, Add (0,7)=16 Succeeded, w=49\",\"Find(3)=3, Find(4)=2, Add (3,4)=18 Succeeded, w=67\",\"Find(4)=3, Find(7)=3, Add (4,7)=20 Failed, w=67\",\"Find(1)=1, Find(7)=3, Add (1,7)=31 Succeeded, w=98\",\"Find(6)=3, Find(7)=3, Add (6,7)=34 Failed, w=98\",\"Find(3)=3, Find(7)=3, Add (3,7)=36 Failed, w=98\",\"Find(4)=3, Find(5)=3, Add (4,5)=43 Failed, w=98\",\"Find(0)=3, Find(1)=3, Add (0,1)=49 Failed, w=98\",\"Find(1)=3, Find(3)=3, Add (1,3)=50 Failed, w=98\",\"Find(0)=3, Find(5)=3, Add (0,5)=54 Failed, w=98\",\"Find(2)=3, Find(6)=3, Add (2,6)=58 Failed, w=98\",\"Find(0)=3, Find(6)=3, Add (0,6)=61 Failed, w=98\",\"Find(1)=3, Find(5)=3, Add (1,5)=61 Failed, w=98\",\"Find(2)=3, Find(5)=3, Add (2,5)=65 Failed, w=98\",\"Find(1)=3, Find(6)=3, Add (1,6)=73 Failed, w=98\",\"Find(2)=3, Find(3)=3, Add (2,3)=73 Failed, w=98\",\"Find(1)=3, Find(4)=3, Add (1,4)=75 Failed, w=98\",\"Find(1)=3, Find(2)=3, Add (1,2)=78 Failed, w=98\",\"Find(4)=3, Find(6)=3, Add (4,6)=79 Failed, w=98\",\"Find(2)=3, Find(7)=3, Add (2,7)=88 Failed, w=98\",\"Find(0)=3, Find(2)=3, Add (0,2)=90 Failed, w=98\",\"Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,90],[0,3,14],[0,4,100],[0,5,54],[0,6,61],[0,7,16],[1,2,78],[1,3,50],[1,4,75],[1,5,61],[1,6,73],[1,7,31],[2,3,73],[2,4,2],[2,5,65],[2,6,58],[2,7,88],[3,4,18],[3,6,8],[3,7,36],[4,5,43],[4,6,79],[4,7,20],[5,6,9],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(3,6)=8,(5,6)=9,(0,3)=14,(0,7)=16,(3,4)=18,(4,7)=20,(1,7)=31,(6,7)=34,(3,7)=36,(4,5)=43,(0,1)=49,(1,3)=50,(0,5)=54,(2,6)=58,(0,6)=61,(1,5)=61,(2,5)=65,(1,6)=73,(2,3)=73,(1,4)=75,(1,2)=78,(4,6)=79,(2,7)=88,(0,2)=90,(0,4)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3, 7: 7}, Find(5)=5, Find(6)=3, Add (5,6)=9 Succeeded, w=19\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=33\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=7, Add (0,7)=16 Succeeded, w=49\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=2, Add (3,4)=18 Succeeded, w=67\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=20 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=31 Succeeded, w=98\",\"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)=34 Failed, w=98\",\"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)=36 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=43 Failed, w=98\",\"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)=49 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=50 Failed, w=98\",\"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)=54 Failed, w=98\",\"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)=58 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=61 Failed, w=98\",\"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)=61 Failed, w=98\",\"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)=65 Failed, w=98\",\"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)=73 Failed, w=98\",\"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)=73 Failed, w=98\",\"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)=75 Failed, w=98\",\"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)=78 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=79 Failed, w=98\",\"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)=88 Failed, w=98\",\"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)=90 Failed, w=98\",\"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)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,69],[0,3,94],[0,4,83],[1,2,28],[1,3,72],[2,3,63],[2,4,78],[3,4,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,3,94],[0,4,83],[1,2,28],[1,3,72],[2,3,63],[2,4,78],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,3,94],[0,4,83],[1,2,28],[1,3,72],[2,3,63],[2,4,78],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,3,94],[0,4,83],[1,2,28],[1,3,72],[2,3,63],[2,4,78],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=28, w=28\",\"Add (2,3)=63, w=91\",\"Add (0,2)=69, w=160\",\"Add (2,4)=78, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,3,94],[0,4,83],[1,2,28],[1,3,72],[2,3,63],[2,4,78],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=28 Succeeded, w=28\",\"Add (2,3)=63 Succeeded, w=91\",\"Add (0,2)=69 Succeeded, w=160\",\"Add (1,3)=72 Failed, w=160\",\"Add (2,4)=78 Succeeded, w=238\",\"Add (3,4)=80 Failed, w=238\",\"Add (0,4)=83 Failed, w=238\",\"Add (0,3)=94 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,3,94],[0,4,83],[1,2,28],[1,3,72],[2,3,63],[2,4,78],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=28,(2,3)=63,(0,2)=69,(1,3)=72,(2,4)=78,(3,4)=80,(0,4)=83,(0,3)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=28\",\"Find(2)=1, Find(3)=3, Add (2,3)=63 Succeeded, w=91\",\"Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=160\",\"Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=160\",\"Find(2)=1, Find(4)=4, Add (2,4)=78 Succeeded, w=238\",\"Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=238\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=238\",\"Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,3,94],[0,4,83],[1,2,28],[1,3,72],[2,3,63],[2,4,78],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=28,(2,3)=63,(0,2)=69,(1,3)=72,(2,4)=78,(3,4)=80,(0,4)=83,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=63 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=78 Succeeded, w=238\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=238\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=238\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,80],[0,2,43],[0,3,89],[0,4,44],[0,5,62],[0,6,72],[0,7,46],[1,2,32],[1,5,71],[1,6,31],[1,7,45],[2,3,38],[2,5,22],[2,6,95],[2,7,41],[3,5,78],[3,6,94],[4,5,26],[4,7,21],[5,6,26],[5,7,7],[6,7,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,80],[0,2,43],[0,3,89],[0,4,44],[0,5,62],[0,6,72],[0,7,46],[1,2,32],[1,5,71],[1,6,31],[1,7,45],[2,3,38],[2,5,22],[2,6,95],[2,7,41],[3,5,78],[3,6,94],[4,5,26],[4,7,21],[5,6,26],[5,7,7],[6,7,34]]}",
"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\":[[0,1,80],[0,2,43],[0,3,89],[0,4,44],[0,5,62],[0,6,72],[0,7,46],[1,2,32],[1,5,71],[1,6,31],[1,7,45],[2,3,38],[2,5,22],[2,6,95],[2,7,41],[3,5,78],[3,6,94],[4,5,26],[4,7,21],[5,6,26],[5,7,7],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (4,7)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (0,2)\"],\"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\":[[0,1,80],[0,2,43],[0,3,89],[0,4,44],[0,5,62],[0,6,72],[0,7,46],[1,2,32],[1,5,71],[1,6,31],[1,7,45],[2,3,38],[2,5,22],[2,6,95],[2,7,41],[3,5,78],[3,6,94],[4,5,26],[4,7,21],[5,6,26],[5,7,7],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=7, w=7\",\"Add (4,7)=21, w=28\",\"Add (2,5)=22, w=50\",\"Add (5,6)=26, w=76\",\"Add (1,6)=31, w=107\",\"Add (2,3)=38, w=145\",\"Add (0,2)=43, 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\":[[0,1,80],[0,2,43],[0,3,89],[0,4,44],[0,5,62],[0,6,72],[0,7,46],[1,2,32],[1,5,71],[1,6,31],[1,7,45],[2,3,38],[2,5,22],[2,6,95],[2,7,41],[3,5,78],[3,6,94],[4,5,26],[4,7,21],[5,6,26],[5,7,7],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=7 Succeeded, w=7\",\"Add (4,7)=21 Succeeded, w=28\",\"Add (2,5)=22 Succeeded, w=50\",\"Add (4,5)=26 Failed, w=50\",\"Add (5,6)=26 Succeeded, w=76\",\"Add (1,6)=31 Succeeded, w=107\",\"Add (1,2)=32 Failed, w=107\",\"Add (6,7)=34 Failed, w=107\",\"Add (2,3)=38 Succeeded, w=145\",\"Add (2,7)=41 Failed, w=145\",\"Add (0,2)=43 Succeeded, w=188\",\"Add (0,4)=44 Failed, w=188\",\"Add (1,7)=45 Failed, w=188\",\"Add (0,7)=46 Failed, w=188\",\"Add (0,5)=62 Failed, w=188\",\"Add (1,5)=71 Failed, w=188\",\"Add (0,6)=72 Failed, w=188\",\"Add (3,5)=78 Failed, w=188\",\"Add (0,1)=80 Failed, w=188\",\"Add (0,3)=89 Failed, w=188\",\"Add (3,6)=94 Failed, w=188\",\"Add (2,6)=95 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\":[[0,1,80],[0,2,43],[0,3,89],[0,4,44],[0,5,62],[0,6,72],[0,7,46],[1,2,32],[1,5,71],[1,6,31],[1,7,45],[2,3,38],[2,5,22],[2,6,95],[2,7,41],[3,5,78],[3,6,94],[4,5,26],[4,7,21],[5,6,26],[5,7,7],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=7,(4,7)=21,(2,5)=22,(4,5)=26,(5,6)=26,(1,6)=31,(1,2)=32,(6,7)=34,(2,3)=38,(2,7)=41,(0,2)=43,(0,4)=44,(1,7)=45,(0,7)=46,(0,5)=62,(1,5)=71,(0,6)=72,(3,5)=78,(0,1)=80,(0,3)=89,(3,6)=94,(2,6)=95]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=7\",\"Find(4)=4, Find(7)=5, Add (4,7)=21 Succeeded, w=28\",\"Find(2)=2, Find(5)=5, Add (2,5)=22 Succeeded, w=50\",\"Find(4)=5, Find(5)=5, Add (4,5)=26 Failed, w=50\",\"Find(5)=5, Find(6)=6, Add (5,6)=26 Succeeded, w=76\",\"Find(1)=1, Find(6)=5, Add (1,6)=31 Succeeded, w=107\",\"Find(1)=5, Find(2)=5, Add (1,2)=32 Failed, w=107\",\"Find(6)=5, Find(7)=5, Add (6,7)=34 Failed, w=107\",\"Find(2)=5, Find(3)=3, Add (2,3)=38 Succeeded, w=145\",\"Find(2)=5, Find(7)=5, Add (2,7)=41 Failed, w=145\",\"Find(0)=0, Find(2)=5, Add (0,2)=43 Succeeded, w=188\",\"Find(0)=5, Find(4)=5, Add (0,4)=44 Failed, w=188\",\"Find(1)=5, Find(7)=5, Add (1,7)=45 Failed, w=188\",\"Find(0)=5, Find(7)=5, Add (0,7)=46 Failed, w=188\",\"Find(0)=5, Find(5)=5, Add (0,5)=62 Failed, w=188\",\"Find(1)=5, Find(5)=5, Add (1,5)=71 Failed, w=188\",\"Find(0)=5, Find(6)=5, Add (0,6)=72 Failed, w=188\",\"Find(3)=5, Find(5)=5, Add (3,5)=78 Failed, w=188\",\"Find(0)=5, Find(1)=5, Add (0,1)=80 Failed, w=188\",\"Find(0)=5, Find(3)=5, Add (0,3)=89 Failed, w=188\",\"Find(3)=5, Find(6)=5, Add (3,6)=94 Failed, w=188\",\"Find(2)=5, Find(6)=5, Add (2,6)=95 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\":[[0,1,80],[0,2,43],[0,3,89],[0,4,44],[0,5,62],[0,6,72],[0,7,46],[1,2,32],[1,5,71],[1,6,31],[1,7,45],[2,3,38],[2,5,22],[2,6,95],[2,7,41],[3,5,78],[3,6,94],[4,5,26],[4,7,21],[5,6,26],[5,7,7],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=7,(4,7)=21,(2,5)=22,(4,5)=26,(5,6)=26,(1,6)=31,(1,2)=32,(6,7)=34,(2,3)=38,(2,7)=41,(0,2)=43,(0,4)=44,(1,7)=45,(0,7)=46,(0,5)=62,(1,5)=71,(0,6)=72,(3,5)=78,(0,1)=80,(0,3)=89,(3,6)=94,(2,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 6, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=21 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(5)=5, Add (2,5)=22 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 6, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=26 Failed, w=50\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=6, Add (5,6)=26 Succeeded, w=76\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(6)=5, Add (1,6)=31 Succeeded, w=107\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=32 Failed, w=107\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=34 Failed, w=107\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=3, Add (2,3)=38 Succeeded, w=145\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=41 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(2)=5, Add (0,2)=43 Succeeded, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=44 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=45 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=46 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=62 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=71 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=72 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=78 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=80 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=89 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=94 Failed, w=188\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=95 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,95],[0,2,38],[0,3,97],[0,4,50],[0,5,29],[0,6,67],[0,7,3],[1,2,11],[1,3,54],[1,4,42],[1,5,40],[1,6,55],[1,7,51],[2,3,85],[2,4,100],[2,5,5],[2,6,48],[2,7,25],[3,4,51],[3,5,31],[3,6,15],[3,7,88],[4,5,70],[4,6,38],[4,7,39],[5,6,66],[5,7,4],[6,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,38],[0,3,97],[0,4,50],[0,5,29],[0,6,67],[0,7,3],[1,2,11],[1,3,54],[1,4,42],[1,5,40],[1,6,55],[1,7,51],[2,3,85],[2,4,100],[2,5,5],[2,6,48],[2,7,25],[3,4,51],[3,5,31],[3,6,15],[3,7,88],[4,5,70],[4,6,38],[4,7,39],[5,6,66],[5,7,4],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,38],[0,3,97],[0,4,50],[0,5,29],[0,6,67],[0,7,3],[1,2,11],[1,3,54],[1,4,42],[1,5,40],[1,6,55],[1,7,51],[2,3,85],[2,4,100],[2,5,5],[2,6,48],[2,7,25],[3,4,51],[3,5,31],[3,6,15],[3,7,88],[4,5,70],[4,6,38],[4,7,39],[5,6,66],[5,7,4],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (5,7)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (6,7)\",\"Add (4,6)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,38],[0,3,97],[0,4,50],[0,5,29],[0,6,67],[0,7,3],[1,2,11],[1,3,54],[1,4,42],[1,5,40],[1,6,55],[1,7,51],[2,3,85],[2,4,100],[2,5,5],[2,6,48],[2,7,25],[3,4,51],[3,5,31],[3,6,15],[3,7,88],[4,5,70],[4,6,38],[4,7,39],[5,6,66],[5,7,4],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=3, w=3\",\"Add (5,7)=4, w=7\",\"Add (2,5)=5, w=12\",\"Add (1,2)=11, w=23\",\"Add (3,6)=15, w=38\",\"Add (6,7)=27, w=65\",\"Add (4,6)=38, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,38],[0,3,97],[0,4,50],[0,5,29],[0,6,67],[0,7,3],[1,2,11],[1,3,54],[1,4,42],[1,5,40],[1,6,55],[1,7,51],[2,3,85],[2,4,100],[2,5,5],[2,6,48],[2,7,25],[3,4,51],[3,5,31],[3,6,15],[3,7,88],[4,5,70],[4,6,38],[4,7,39],[5,6,66],[5,7,4],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=3 Succeeded, w=3\",\"Add (5,7)=4 Succeeded, w=7\",\"Add (2,5)=5 Succeeded, w=12\",\"Add (1,2)=11 Succeeded, w=23\",\"Add (3,6)=15 Succeeded, w=38\",\"Add (2,7)=25 Failed, w=38\",\"Add (6,7)=27 Succeeded, w=65\",\"Add (0,5)=29 Failed, w=65\",\"Add (3,5)=31 Failed, w=65\",\"Add (0,2)=38 Failed, w=65\",\"Add (4,6)=38 Succeeded, w=103\",\"Add (4,7)=39 Failed, w=103\",\"Add (1,5)=40 Failed, w=103\",\"Add (1,4)=42 Failed, w=103\",\"Add (2,6)=48 Failed, w=103\",\"Add (0,4)=50 Failed, w=103\",\"Add (1,7)=51 Failed, w=103\",\"Add (3,4)=51 Failed, w=103\",\"Add (1,3)=54 Failed, w=103\",\"Add (1,6)=55 Failed, w=103\",\"Add (5,6)=66 Failed, w=103\",\"Add (0,6)=67 Failed, w=103\",\"Add (4,5)=70 Failed, w=103\",\"Add (2,3)=85 Failed, w=103\",\"Add (3,7)=88 Failed, w=103\",\"Add (0,1)=95 Failed, w=103\",\"Add (0,3)=97 Failed, w=103\",\"Add (2,4)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,38],[0,3,97],[0,4,50],[0,5,29],[0,6,67],[0,7,3],[1,2,11],[1,3,54],[1,4,42],[1,5,40],[1,6,55],[1,7,51],[2,3,85],[2,4,100],[2,5,5],[2,6,48],[2,7,25],[3,4,51],[3,5,31],[3,6,15],[3,7,88],[4,5,70],[4,6,38],[4,7,39],[5,6,66],[5,7,4],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=3,(5,7)=4,(2,5)=5,(1,2)=11,(3,6)=15,(2,7)=25,(6,7)=27,(0,5)=29,(3,5)=31,(0,2)=38,(4,6)=38,(4,7)=39,(1,5)=40,(1,4)=42,(2,6)=48,(0,4)=50,(1,7)=51,(3,4)=51,(1,3)=54,(1,6)=55,(5,6)=66,(0,6)=67,(4,5)=70,(2,3)=85,(3,7)=88,(0,1)=95,(0,3)=97,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=3\",\"Find(5)=5, Find(7)=0, Add (5,7)=4 Succeeded, w=7\",\"Find(2)=2, Find(5)=0, Add (2,5)=5 Succeeded, w=12\",\"Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=23\",\"Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=38\",\"Find(2)=0, Find(7)=0, Add (2,7)=25 Failed, w=38\",\"Find(6)=3, Find(7)=0, Add (6,7)=27 Succeeded, w=65\",\"Find(0)=3, Find(5)=3, Add (0,5)=29 Failed, w=65\",\"Find(3)=3, Find(5)=3, Add (3,5)=31 Failed, w=65\",\"Find(0)=3, Find(2)=3, Add (0,2)=38 Failed, w=65\",\"Find(4)=4, Find(6)=3, Add (4,6)=38 Succeeded, w=103\",\"Find(4)=3, Find(7)=3, Add (4,7)=39 Failed, w=103\",\"Find(1)=3, Find(5)=3, Add (1,5)=40 Failed, w=103\",\"Find(1)=3, Find(4)=3, Add (1,4)=42 Failed, w=103\",\"Find(2)=3, Find(6)=3, Add (2,6)=48 Failed, w=103\",\"Find(0)=3, Find(4)=3, Add (0,4)=50 Failed, w=103\",\"Find(1)=3, Find(7)=3, Add (1,7)=51 Failed, w=103\",\"Find(3)=3, Find(4)=3, Add (3,4)=51 Failed, w=103\",\"Find(1)=3, Find(3)=3, Add (1,3)=54 Failed, w=103\",\"Find(1)=3, Find(6)=3, Add (1,6)=55 Failed, w=103\",\"Find(5)=3, Find(6)=3, Add (5,6)=66 Failed, w=103\",\"Find(0)=3, Find(6)=3, Add (0,6)=67 Failed, w=103\",\"Find(4)=3, Find(5)=3, Add (4,5)=70 Failed, w=103\",\"Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=103\",\"Find(3)=3, Find(7)=3, Add (3,7)=88 Failed, w=103\",\"Find(0)=3, Find(1)=3, Add (0,1)=95 Failed, w=103\",\"Find(0)=3, Find(3)=3, Add (0,3)=97 Failed, w=103\",\"Find(2)=3, Find(4)=3, Add (2,4)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,38],[0,3,97],[0,4,50],[0,5,29],[0,6,67],[0,7,3],[1,2,11],[1,3,54],[1,4,42],[1,5,40],[1,6,55],[1,7,51],[2,3,85],[2,4,100],[2,5,5],[2,6,48],[2,7,25],[3,4,51],[3,5,31],[3,6,15],[3,7,88],[4,5,70],[4,6,38],[4,7,39],[5,6,66],[5,7,4],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=3,(5,7)=4,(2,5)=5,(1,2)=11,(3,6)=15,(2,7)=25,(6,7)=27,(0,5)=29,(3,5)=31,(0,2)=38,(4,6)=38,(4,7)=39,(1,5)=40,(1,4)=42,(2,6)=48,(0,4)=50,(1,7)=51,(3,4)=51,(1,3)=54,(1,6)=55,(5,6)=66,(0,6)=67,(4,5)=70,(2,3)=85,(3,7)=88,(0,1)=95,(0,3)=97,(2,4)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(2)=2, Find(5)=0, Add (2,5)=5 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=25 Failed, w=38\",\"Parent: {0: 3, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3, 7: 0}, Find(6)=3, Find(7)=0, Add (6,7)=27 Succeeded, w=65\",\"Parent: {0: 3, 1: 0, 2: 0, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(5)=3, Add (0,5)=29 Failed, w=65\",\"Parent: {0: 3, 1: 0, 2: 0, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(3)=3, Find(5)=3, Add (3,5)=31 Failed, w=65\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(2)=3, Add (0,2)=38 Failed, w=65\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 0}, Find(4)=4, Find(6)=3, Add (4,6)=38 Succeeded, w=103\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=39 Failed, w=103\",\"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)=40 Failed, w=103\",\"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)=42 Failed, w=103\",\"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)=48 Failed, w=103\",\"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)=50 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=51 Failed, w=103\",\"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)=51 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=54 Failed, w=103\",\"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)=55 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=66 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=67 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=70 Failed, w=103\",\"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)=85 Failed, w=103\",\"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)=88 Failed, w=103\",\"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)=95 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=97 Failed, w=103\",\"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)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,68],[0,2,45],[1,2,16],[1,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,45],[1,2,16],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,45],[1,2,16],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,45],[1,2,16],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16, w=16\",\"Add (0,2)=45, w=61\",\"Add (1,3)=85, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,45],[1,2,16],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16 Succeeded, w=16\",\"Add (0,2)=45 Succeeded, w=61\",\"Add (0,1)=68 Failed, w=61\",\"Add (1,3)=85 Succeeded, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,45],[1,2,16],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(0,2)=45,(0,1)=68,(1,3)=85]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=61\",\"Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=61\",\"Find(1)=1, Find(3)=3, Add (1,3)=85 Succeeded, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,45],[1,2,16],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(0,2)=45,(0,1)=68,(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=85 Succeeded, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,2,12],[0,3,21],[0,4,60],[0,5,98],[0,6,2],[0,7,44],[1,2,96],[1,3,75],[1,4,47],[1,5,68],[1,6,48],[1,7,83],[2,3,29],[2,4,91],[2,5,95],[2,6,62],[2,7,9],[3,4,58],[3,5,61],[3,6,78],[3,7,44],[4,5,67],[4,6,29],[4,7,64],[5,6,9],[5,7,48],[6,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,12],[0,3,21],[0,4,60],[0,5,98],[0,6,2],[0,7,44],[1,2,96],[1,3,75],[1,4,47],[1,5,68],[1,6,48],[1,7,83],[2,3,29],[2,4,91],[2,5,95],[2,6,62],[2,7,9],[3,4,58],[3,5,61],[3,6,78],[3,7,44],[4,5,67],[4,6,29],[4,7,64],[5,6,9],[5,7,48],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,12],[0,3,21],[0,4,60],[0,5,98],[0,6,2],[0,7,44],[1,2,96],[1,3,75],[1,4,47],[1,5,68],[1,6,48],[1,7,83],[2,3,29],[2,4,91],[2,5,95],[2,6,62],[2,7,9],[3,4,58],[3,5,61],[3,6,78],[3,7,44],[4,5,67],[4,6,29],[4,7,64],[5,6,9],[5,7,48],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (6,7)\",\"Add (2,7)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (4,6)\",\"Add (1,4)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,12],[0,3,21],[0,4,60],[0,5,98],[0,6,2],[0,7,44],[1,2,96],[1,3,75],[1,4,47],[1,5,68],[1,6,48],[1,7,83],[2,3,29],[2,4,91],[2,5,95],[2,6,62],[2,7,9],[3,4,58],[3,5,61],[3,6,78],[3,7,44],[4,5,67],[4,6,29],[4,7,64],[5,6,9],[5,7,48],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (6,7)=4, w=6\",\"Add (2,7)=9, w=15\",\"Add (5,6)=9, w=24\",\"Add (0,3)=21, w=45\",\"Add (4,6)=29, w=74\",\"Add (1,4)=47, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,12],[0,3,21],[0,4,60],[0,5,98],[0,6,2],[0,7,44],[1,2,96],[1,3,75],[1,4,47],[1,5,68],[1,6,48],[1,7,83],[2,3,29],[2,4,91],[2,5,95],[2,6,62],[2,7,9],[3,4,58],[3,5,61],[3,6,78],[3,7,44],[4,5,67],[4,6,29],[4,7,64],[5,6,9],[5,7,48],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (6,7)=4 Succeeded, w=6\",\"Add (2,7)=9 Succeeded, w=15\",\"Add (5,6)=9 Succeeded, w=24\",\"Add (0,2)=12 Failed, w=24\",\"Add (0,3)=21 Succeeded, w=45\",\"Add (2,3)=29 Failed, w=45\",\"Add (4,6)=29 Succeeded, w=74\",\"Add (0,7)=44 Failed, w=74\",\"Add (3,7)=44 Failed, w=74\",\"Add (1,4)=47 Succeeded, w=121\",\"Add (1,6)=48 Failed, w=121\",\"Add (5,7)=48 Failed, w=121\",\"Add (3,4)=58 Failed, w=121\",\"Add (0,4)=60 Failed, w=121\",\"Add (3,5)=61 Failed, w=121\",\"Add (2,6)=62 Failed, w=121\",\"Add (4,7)=64 Failed, w=121\",\"Add (4,5)=67 Failed, w=121\",\"Add (1,5)=68 Failed, w=121\",\"Add (0,1)=75 Failed, w=121\",\"Add (1,3)=75 Failed, w=121\",\"Add (3,6)=78 Failed, w=121\",\"Add (1,7)=83 Failed, w=121\",\"Add (2,4)=91 Failed, w=121\",\"Add (2,5)=95 Failed, w=121\",\"Add (1,2)=96 Failed, w=121\",\"Add (0,5)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,12],[0,3,21],[0,4,60],[0,5,98],[0,6,2],[0,7,44],[1,2,96],[1,3,75],[1,4,47],[1,5,68],[1,6,48],[1,7,83],[2,3,29],[2,4,91],[2,5,95],[2,6,62],[2,7,9],[3,4,58],[3,5,61],[3,6,78],[3,7,44],[4,5,67],[4,6,29],[4,7,64],[5,6,9],[5,7,48],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(6,7)=4,(2,7)=9,(5,6)=9,(0,2)=12,(0,3)=21,(2,3)=29,(4,6)=29,(0,7)=44,(3,7)=44,(1,4)=47,(1,6)=48,(5,7)=48,(3,4)=58,(0,4)=60,(3,5)=61,(2,6)=62,(4,7)=64,(4,5)=67,(1,5)=68,(0,1)=75,(1,3)=75,(3,6)=78,(1,7)=83,(2,4)=91,(2,5)=95,(1,2)=96,(0,5)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(6)=0, Find(7)=7, Add (6,7)=4 Succeeded, w=6\",\"Find(2)=2, Find(7)=0, Add (2,7)=9 Succeeded, w=15\",\"Find(5)=5, Find(6)=0, Add (5,6)=9 Succeeded, w=24\",\"Find(0)=0, Find(2)=0, Add (0,2)=12 Failed, w=24\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=45\",\"Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=45\",\"Find(4)=4, Find(6)=0, Add (4,6)=29 Succeeded, w=74\",\"Find(0)=0, Find(7)=0, Add (0,7)=44 Failed, w=74\",\"Find(3)=0, Find(7)=0, Add (3,7)=44 Failed, w=74\",\"Find(1)=1, Find(4)=0, Add (1,4)=47 Succeeded, w=121\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=121\",\"Find(5)=0, Find(7)=0, Add (5,7)=48 Failed, w=121\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=121\",\"Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=121\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=121\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=121\",\"Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=121\",\"Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=121\",\"Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=121\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=121\",\"Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=121\",\"Find(1)=0, Find(7)=0, Add (1,7)=83 Failed, w=121\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=121\",\"Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=121\",\"Find(0)=0, Find(5)=0, Add (0,5)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,12],[0,3,21],[0,4,60],[0,5,98],[0,6,2],[0,7,44],[1,2,96],[1,3,75],[1,4,47],[1,5,68],[1,6,48],[1,7,83],[2,3,29],[2,4,91],[2,5,95],[2,6,62],[2,7,9],[3,4,58],[3,5,61],[3,6,78],[3,7,44],[4,5,67],[4,6,29],[4,7,64],[5,6,9],[5,7,48],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(6,7)=4,(2,7)=9,(5,6)=9,(0,2)=12,(0,3)=21,(2,3)=29,(4,6)=29,(0,7)=44,(3,7)=44,(1,4)=47,(1,6)=48,(5,7)=48,(3,4)=58,(0,4)=60,(3,5)=61,(2,6)=62,(4,7)=64,(4,5)=67,(1,5)=68,(0,1)=75,(1,3)=75,(3,6)=78,(1,7)=83,(2,4)=91,(2,5)=95,(1,2)=96,(0,5)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(6)=0, Add (5,6)=9 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=12 Failed, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=29 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=44 Failed, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=44 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(4)=0, Add (1,4)=47 Succeeded, w=121\",\"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)=48 Failed, w=121\",\"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)=48 Failed, w=121\",\"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=121\",\"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)=60 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=121\",\"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)=64 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=121\",\"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)=68 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=121\",\"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)=75 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=121\",\"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)=83 Failed, w=121\",\"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)=91 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=121\",\"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)=96 Failed, w=121\",\"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)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,93],[0,3,91],[0,4,30],[0,5,62],[1,2,23],[1,3,93],[1,4,81],[1,5,86],[2,3,78],[2,4,24],[2,5,43],[3,4,40],[3,5,62],[4,5,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,3,91],[0,4,30],[0,5,62],[1,2,23],[1,3,93],[1,4,81],[1,5,86],[2,3,78],[2,4,24],[2,5,43],[3,4,40],[3,5,62],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,3,91],[0,4,30],[0,5,62],[1,2,23],[1,3,93],[1,4,81],[1,5,86],[2,3,78],[2,4,24],[2,5,43],[3,4,40],[3,5,62],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,3,91],[0,4,30],[0,5,62],[1,2,23],[1,3,93],[1,4,81],[1,5,86],[2,3,78],[2,4,24],[2,5,43],[3,4,40],[3,5,62],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23, w=23\",\"Add (2,4)=24, w=47\",\"Add (0,4)=30, w=77\",\"Add (3,4)=40, w=117\",\"Add (2,5)=43, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,3,91],[0,4,30],[0,5,62],[1,2,23],[1,3,93],[1,4,81],[1,5,86],[2,3,78],[2,4,24],[2,5,43],[3,4,40],[3,5,62],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23 Succeeded, w=23\",\"Add (2,4)=24 Succeeded, w=47\",\"Add (0,4)=30 Succeeded, w=77\",\"Add (3,4)=40 Succeeded, w=117\",\"Add (2,5)=43 Succeeded, w=160\",\"Add (0,5)=62 Failed, w=160\",\"Add (3,5)=62 Failed, w=160\",\"Add (2,3)=78 Failed, w=160\",\"Add (1,4)=81 Failed, w=160\",\"Add (1,5)=86 Failed, w=160\",\"Add (0,3)=91 Failed, w=160\",\"Add (4,5)=92 Failed, w=160\",\"Add (0,1)=93 Failed, w=160\",\"Add (1,3)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,3,91],[0,4,30],[0,5,62],[1,2,23],[1,3,93],[1,4,81],[1,5,86],[2,3,78],[2,4,24],[2,5,43],[3,4,40],[3,5,62],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(2,4)=24,(0,4)=30,(3,4)=40,(2,5)=43,(0,5)=62,(3,5)=62,(2,3)=78,(1,4)=81,(1,5)=86,(0,3)=91,(4,5)=92,(0,1)=93,(1,3)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Find(2)=1, Find(4)=4, Add (2,4)=24 Succeeded, w=47\",\"Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=77\",\"Find(3)=3, Find(4)=1, Add (3,4)=40 Succeeded, w=117\",\"Find(2)=1, Find(5)=5, Add (2,5)=43 Succeeded, w=160\",\"Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=160\",\"Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=160\",\"Find(2)=1, Find(3)=1, Add (2,3)=78 Failed, w=160\",\"Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=160\",\"Find(1)=1, Find(5)=1, Add (1,5)=86 Failed, w=160\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=160\",\"Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=160\",\"Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=160\",\"Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,3,91],[0,4,30],[0,5,62],[1,2,23],[1,3,93],[1,4,81],[1,5,86],[2,3,78],[2,4,24],[2,5,43],[3,4,40],[3,5,62],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(2,4)=24,(0,4)=30,(3,4)=40,(2,5)=43,(0,5)=62,(3,5)=62,(2,3)=78,(1,4)=81,(1,5)=86,(0,3)=91,(4,5)=92,(0,1)=93,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=1, Find(4)=4, Add (2,4)=24 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=40 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=43 Succeeded, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=78 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=86 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,36],[0,3,92],[0,4,63],[1,2,37],[1,3,19],[2,3,51],[2,4,63],[3,4,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,92],[0,4,63],[1,2,37],[1,3,19],[2,3,51],[2,4,63],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,92],[0,4,63],[1,2,37],[1,3,19],[2,3,51],[2,4,63],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,92],[0,4,63],[1,2,37],[1,3,19],[2,3,51],[2,4,63],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19, w=19\",\"Add (0,2)=36, w=55\",\"Add (1,2)=37, w=92\",\"Add (3,4)=38, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,92],[0,4,63],[1,2,37],[1,3,19],[2,3,51],[2,4,63],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19 Succeeded, w=19\",\"Add (0,2)=36 Succeeded, w=55\",\"Add (1,2)=37 Succeeded, w=92\",\"Add (3,4)=38 Succeeded, w=130\",\"Add (2,3)=51 Failed, w=130\",\"Add (0,4)=63 Failed, w=130\",\"Add (2,4)=63 Failed, w=130\",\"Add (0,3)=92 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,92],[0,4,63],[1,2,37],[1,3,19],[2,3,51],[2,4,63],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(0,2)=36,(1,2)=37,(3,4)=38,(2,3)=51,(0,4)=63,(2,4)=63,(0,3)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=55\",\"Find(1)=1, Find(2)=0, Add (1,2)=37 Succeeded, w=92\",\"Find(3)=1, Find(4)=4, Add (3,4)=38 Succeeded, w=130\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=130\",\"Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=130\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=130\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,92],[0,4,63],[1,2,37],[1,3,19],[2,3,51],[2,4,63],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(0,2)=36,(1,2)=37,(3,4)=38,(2,3)=51,(0,4)=63,(2,4)=63,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=37 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=38 Succeeded, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,81],[0,2,91],[0,3,8],[0,4,83],[0,6,39],[0,7,91],[1,2,68],[1,3,64],[1,4,1],[1,5,26],[2,3,25],[2,4,7],[2,5,87],[2,6,64],[2,7,84],[3,5,39],[3,6,38],[3,7,59],[4,5,67],[4,6,13],[4,7,32],[5,6,91],[5,7,19],[6,7,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,91],[0,3,8],[0,4,83],[0,6,39],[0,7,91],[1,2,68],[1,3,64],[1,4,1],[1,5,26],[2,3,25],[2,4,7],[2,5,87],[2,6,64],[2,7,84],[3,5,39],[3,6,38],[3,7,59],[4,5,67],[4,6,13],[4,7,32],[5,6,91],[5,7,19],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,91],[0,3,8],[0,4,83],[0,6,39],[0,7,91],[1,2,68],[1,3,64],[1,4,1],[1,5,26],[2,3,25],[2,4,7],[2,5,87],[2,6,64],[2,7,84],[3,5,39],[3,6,38],[3,7,59],[4,5,67],[4,6,13],[4,7,32],[5,6,91],[5,7,19],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (4,6)\",\"Add (6,7)\",\"Add (5,7)\",\"Add (2,3)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,91],[0,3,8],[0,4,83],[0,6,39],[0,7,91],[1,2,68],[1,3,64],[1,4,1],[1,5,26],[2,3,25],[2,4,7],[2,5,87],[2,6,64],[2,7,84],[3,5,39],[3,6,38],[3,7,59],[4,5,67],[4,6,13],[4,7,32],[5,6,91],[5,7,19],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (2,4)=7, w=8\",\"Add (0,3)=8, w=16\",\"Add (4,6)=13, w=29\",\"Add (6,7)=16, w=45\",\"Add (5,7)=19, w=64\",\"Add (2,3)=25, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,91],[0,3,8],[0,4,83],[0,6,39],[0,7,91],[1,2,68],[1,3,64],[1,4,1],[1,5,26],[2,3,25],[2,4,7],[2,5,87],[2,6,64],[2,7,84],[3,5,39],[3,6,38],[3,7,59],[4,5,67],[4,6,13],[4,7,32],[5,6,91],[5,7,19],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (2,4)=7 Succeeded, w=8\",\"Add (0,3)=8 Succeeded, w=16\",\"Add (4,6)=13 Succeeded, w=29\",\"Add (6,7)=16 Succeeded, w=45\",\"Add (5,7)=19 Succeeded, w=64\",\"Add (2,3)=25 Succeeded, w=89\",\"Add (1,5)=26 Failed, w=89\",\"Add (4,7)=32 Failed, w=89\",\"Add (3,6)=38 Failed, w=89\",\"Add (0,6)=39 Failed, w=89\",\"Add (3,5)=39 Failed, w=89\",\"Add (3,7)=59 Failed, w=89\",\"Add (1,3)=64 Failed, w=89\",\"Add (2,6)=64 Failed, w=89\",\"Add (4,5)=67 Failed, w=89\",\"Add (1,2)=68 Failed, w=89\",\"Add (0,1)=81 Failed, w=89\",\"Add (0,4)=83 Failed, w=89\",\"Add (2,7)=84 Failed, w=89\",\"Add (2,5)=87 Failed, w=89\",\"Add (0,2)=91 Failed, w=89\",\"Add (0,7)=91 Failed, w=89\",\"Add (5,6)=91 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,91],[0,3,8],[0,4,83],[0,6,39],[0,7,91],[1,2,68],[1,3,64],[1,4,1],[1,5,26],[2,3,25],[2,4,7],[2,5,87],[2,6,64],[2,7,84],[3,5,39],[3,6,38],[3,7,59],[4,5,67],[4,6,13],[4,7,32],[5,6,91],[5,7,19],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(2,4)=7,(0,3)=8,(4,6)=13,(6,7)=16,(5,7)=19,(2,3)=25,(1,5)=26,(4,7)=32,(3,6)=38,(0,6)=39,(3,5)=39,(3,7)=59,(1,3)=64,(2,6)=64,(4,5)=67,(1,2)=68,(0,1)=81,(0,4)=83,(2,7)=84,(2,5)=87,(0,2)=91,(0,7)=91,(5,6)=91]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=1, Add (2,4)=7 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=16\",\"Find(4)=1, Find(6)=6, Add (4,6)=13 Succeeded, w=29\",\"Find(6)=1, Find(7)=7, Add (6,7)=16 Succeeded, w=45\",\"Find(5)=5, Find(7)=1, Add (5,7)=19 Succeeded, w=64\",\"Find(2)=1, Find(3)=0, Add (2,3)=25 Succeeded, w=89\",\"Find(1)=1, Find(5)=1, Add (1,5)=26 Failed, w=89\",\"Find(4)=1, Find(7)=1, Add (4,7)=32 Failed, w=89\",\"Find(3)=1, Find(6)=1, Add (3,6)=38 Failed, w=89\",\"Find(0)=1, Find(6)=1, Add (0,6)=39 Failed, w=89\",\"Find(3)=1, Find(5)=1, Add (3,5)=39 Failed, w=89\",\"Find(3)=1, Find(7)=1, Add (3,7)=59 Failed, w=89\",\"Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=89\",\"Find(2)=1, Find(6)=1, Add (2,6)=64 Failed, w=89\",\"Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=89\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=89\",\"Find(0)=1, Find(1)=1, Add (0,1)=81 Failed, w=89\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=89\",\"Find(2)=1, Find(7)=1, Add (2,7)=84 Failed, w=89\",\"Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=89\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=89\",\"Find(0)=1, Find(7)=1, Add (0,7)=91 Failed, w=89\",\"Find(5)=1, Find(6)=1, Add (5,6)=91 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,91],[0,3,8],[0,4,83],[0,6,39],[0,7,91],[1,2,68],[1,3,64],[1,4,1],[1,5,26],[2,3,25],[2,4,7],[2,5,87],[2,6,64],[2,7,84],[3,5,39],[3,6,38],[3,7,59],[4,5,67],[4,6,13],[4,7,32],[5,6,91],[5,7,19],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(2,4)=7,(0,3)=8,(4,6)=13,(6,7)=16,(5,7)=19,(2,3)=25,(1,5)=26,(4,7)=32,(3,6)=38,(0,6)=39,(3,5)=39,(3,7)=59,(1,3)=64,(2,6)=64,(4,5)=67,(1,2)=68,(0,1)=81,(0,4)=83,(2,7)=84,(2,5)=87,(0,2)=91,(0,7)=91,(5,6)=91]\",\"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: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=1, Add (2,4)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=1, Find(6)=6, Add (4,6)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 1, 7: 1}, Find(6)=1, Find(7)=7, Add (6,7)=16 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=19 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=0, Add (2,3)=25 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=26 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=32 Failed, w=89\",\"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)=38 Failed, w=89\",\"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)=39 Failed, w=89\",\"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)=39 Failed, w=89\",\"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)=59 Failed, w=89\",\"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)=64 Failed, w=89\",\"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)=64 Failed, w=89\",\"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)=67 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=89\",\"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)=81 Failed, w=89\",\"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)=83 Failed, w=89\",\"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)=84 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=89\",\"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)=91 Failed, w=89\",\"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=89\",\"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)=91 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,2,18],[0,3,13],[0,4,0],[0,5,100],[0,6,85],[0,7,15],[1,2,69],[1,3,66],[1,4,51],[1,5,95],[1,6,85],[1,7,51],[2,3,89],[2,4,74],[2,5,10],[2,6,85],[2,7,56],[3,4,27],[3,5,90],[3,6,11],[3,7,38],[4,5,10],[4,6,47],[4,7,54],[5,6,86],[5,7,35],[6,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,18],[0,3,13],[0,4,0],[0,5,100],[0,6,85],[0,7,15],[1,2,69],[1,3,66],[1,4,51],[1,5,95],[1,6,85],[1,7,51],[2,3,89],[2,4,74],[2,5,10],[2,6,85],[2,7,56],[3,4,27],[3,5,90],[3,6,11],[3,7,38],[4,5,10],[4,6,47],[4,7,54],[5,6,86],[5,7,35],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,18],[0,3,13],[0,4,0],[0,5,100],[0,6,85],[0,7,15],[1,2,69],[1,3,66],[1,4,51],[1,5,95],[1,6,85],[1,7,51],[2,3,89],[2,4,74],[2,5,10],[2,6,85],[2,7,56],[3,4,27],[3,5,90],[3,6,11],[3,7,38],[4,5,10],[4,6,47],[4,7,54],[5,6,86],[5,7,35],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (0,7)\",\"Add (0,1)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,18],[0,3,13],[0,4,0],[0,5,100],[0,6,85],[0,7,15],[1,2,69],[1,3,66],[1,4,51],[1,5,95],[1,6,85],[1,7,51],[2,3,89],[2,4,74],[2,5,10],[2,6,85],[2,7,56],[3,4,27],[3,5,90],[3,6,11],[3,7,38],[4,5,10],[4,6,47],[4,7,54],[5,6,86],[5,7,35],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (2,5)=10, w=10\",\"Add (4,5)=10, w=20\",\"Add (3,6)=11, w=31\",\"Add (0,3)=13, w=44\",\"Add (0,7)=15, w=59\",\"Add (0,1)=26, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,18],[0,3,13],[0,4,0],[0,5,100],[0,6,85],[0,7,15],[1,2,69],[1,3,66],[1,4,51],[1,5,95],[1,6,85],[1,7,51],[2,3,89],[2,4,74],[2,5,10],[2,6,85],[2,7,56],[3,4,27],[3,5,90],[3,6,11],[3,7,38],[4,5,10],[4,6,47],[4,7,54],[5,6,86],[5,7,35],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (2,5)=10 Succeeded, w=10\",\"Add (4,5)=10 Succeeded, w=20\",\"Add (3,6)=11 Succeeded, w=31\",\"Add (0,3)=13 Succeeded, w=44\",\"Add (0,7)=15 Succeeded, w=59\",\"Add (0,2)=18 Failed, w=59\",\"Add (0,1)=26 Succeeded, w=85\",\"Add (3,4)=27 Failed, w=85\",\"Add (5,7)=35 Failed, w=85\",\"Add (3,7)=38 Failed, w=85\",\"Add (4,6)=47 Failed, w=85\",\"Add (1,4)=51 Failed, w=85\",\"Add (1,7)=51 Failed, w=85\",\"Add (4,7)=54 Failed, w=85\",\"Add (2,7)=56 Failed, w=85\",\"Add (1,3)=66 Failed, w=85\",\"Add (1,2)=69 Failed, w=85\",\"Add (2,4)=74 Failed, w=85\",\"Add (0,6)=85 Failed, w=85\",\"Add (1,6)=85 Failed, w=85\",\"Add (2,6)=85 Failed, w=85\",\"Add (5,6)=86 Failed, w=85\",\"Add (2,3)=89 Failed, w=85\",\"Add (3,5)=90 Failed, w=85\",\"Add (6,7)=92 Failed, w=85\",\"Add (1,5)=95 Failed, w=85\",\"Add (0,5)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,18],[0,3,13],[0,4,0],[0,5,100],[0,6,85],[0,7,15],[1,2,69],[1,3,66],[1,4,51],[1,5,95],[1,6,85],[1,7,51],[2,3,89],[2,4,74],[2,5,10],[2,6,85],[2,7,56],[3,4,27],[3,5,90],[3,6,11],[3,7,38],[4,5,10],[4,6,47],[4,7,54],[5,6,86],[5,7,35],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,5)=10,(4,5)=10,(3,6)=11,(0,3)=13,(0,7)=15,(0,2)=18,(0,1)=26,(3,4)=27,(5,7)=35,(3,7)=38,(4,6)=47,(1,4)=51,(1,7)=51,(4,7)=54,(2,7)=56,(1,3)=66,(1,2)=69,(2,4)=74,(0,6)=85,(1,6)=85,(2,6)=85,(5,6)=86,(2,3)=89,(3,5)=90,(6,7)=92,(1,5)=95,(0,5)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Find(4)=0, Find(5)=2, Add (4,5)=10 Succeeded, w=20\",\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=31\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=44\",\"Find(0)=0, Find(7)=7, Add (0,7)=15 Succeeded, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=18 Failed, w=59\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=85\",\"Find(3)=0, Find(4)=0, Add (3,4)=27 Failed, w=85\",\"Find(5)=0, Find(7)=0, Add (5,7)=35 Failed, w=85\",\"Find(3)=0, Find(7)=0, Add (3,7)=38 Failed, w=85\",\"Find(4)=0, Find(6)=0, Add (4,6)=47 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=85\",\"Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=85\",\"Find(4)=0, Find(7)=0, Add (4,7)=54 Failed, w=85\",\"Find(2)=0, Find(7)=0, Add (2,7)=56 Failed, w=85\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=85\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=85\",\"Find(0)=0, Find(6)=0, Add (0,6)=85 Failed, w=85\",\"Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=85\",\"Find(2)=0, Find(6)=0, Add (2,6)=85 Failed, w=85\",\"Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=85\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=85\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=85\",\"Find(6)=0, Find(7)=0, Add (6,7)=92 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=85\",\"Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,18],[0,3,13],[0,4,0],[0,5,100],[0,6,85],[0,7,15],[1,2,69],[1,3,66],[1,4,51],[1,5,95],[1,6,85],[1,7,51],[2,3,89],[2,4,74],[2,5,10],[2,6,85],[2,7,56],[3,4,27],[3,5,90],[3,6,11],[3,7,38],[4,5,10],[4,6,47],[4,7,54],[5,6,86],[5,7,35],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,5)=10,(4,5)=10,(3,6)=11,(0,3)=13,(0,7)=15,(0,2)=18,(0,1)=26,(3,4)=27,(5,7)=35,(3,7)=38,(4,6)=47,(1,4)=51,(1,7)=51,(4,7)=54,(2,7)=56,(1,3)=66,(1,2)=69,(2,4)=74,(0,6)=85,(1,6)=85,(2,6)=85,(5,6)=86,(2,3)=89,(3,5)=90,(6,7)=92,(1,5)=95,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 2, 6: 6, 7: 7}, Find(4)=0, Find(5)=2, Add (4,5)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 2, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2, 6: 3, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=15 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2, 6: 3, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=18 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 3, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 3, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=27 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=35 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=38 Failed, w=85\",\"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)=47 Failed, w=85\",\"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)=51 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=54 Failed, w=85\",\"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)=56 Failed, w=85\",\"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)=66 Failed, w=85\",\"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)=69 Failed, w=85\",\"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)=74 Failed, w=85\",\"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)=85 Failed, w=85\",\"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)=85 Failed, w=85\",\"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)=85 Failed, w=85\",\"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)=86 Failed, w=85\",\"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)=89 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=85\",\"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)=92 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=85\",\"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)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,7],[0,2,83],[0,3,12],[0,4,20],[0,5,74],[0,7,88],[1,2,38],[1,3,82],[1,4,61],[1,5,12],[1,6,69],[1,7,53],[2,3,43],[2,4,73],[2,5,41],[2,6,60],[2,7,87],[3,4,88],[3,5,31],[3,7,74],[4,5,74],[4,6,77],[4,7,29],[5,6,54],[5,7,54],[6,7,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,83],[0,3,12],[0,4,20],[0,5,74],[0,7,88],[1,2,38],[1,3,82],[1,4,61],[1,5,12],[1,6,69],[1,7,53],[2,3,43],[2,4,73],[2,5,41],[2,6,60],[2,7,87],[3,4,88],[3,5,31],[3,7,74],[4,5,74],[4,6,77],[4,7,29],[5,6,54],[5,7,54],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,83],[0,3,12],[0,4,20],[0,5,74],[0,7,88],[1,2,38],[1,3,82],[1,4,61],[1,5,12],[1,6,69],[1,7,53],[2,3,43],[2,4,73],[2,5,41],[2,6,60],[2,7,87],[3,4,88],[3,5,31],[3,7,74],[4,5,74],[4,6,77],[4,7,29],[5,6,54],[5,7,54],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (4,7)\",\"Add (6,7)\",\"Add (1,2)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,83],[0,3,12],[0,4,20],[0,5,74],[0,7,88],[1,2,38],[1,3,82],[1,4,61],[1,5,12],[1,6,69],[1,7,53],[2,3,43],[2,4,73],[2,5,41],[2,6,60],[2,7,87],[3,4,88],[3,5,31],[3,7,74],[4,5,74],[4,6,77],[4,7,29],[5,6,54],[5,7,54],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (0,3)=12, w=19\",\"Add (1,5)=12, w=31\",\"Add (0,4)=20, w=51\",\"Add (4,7)=29, w=80\",\"Add (6,7)=37, w=117\",\"Add (1,2)=38, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,83],[0,3,12],[0,4,20],[0,5,74],[0,7,88],[1,2,38],[1,3,82],[1,4,61],[1,5,12],[1,6,69],[1,7,53],[2,3,43],[2,4,73],[2,5,41],[2,6,60],[2,7,87],[3,4,88],[3,5,31],[3,7,74],[4,5,74],[4,6,77],[4,7,29],[5,6,54],[5,7,54],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,3)=12 Succeeded, w=19\",\"Add (1,5)=12 Succeeded, w=31\",\"Add (0,4)=20 Succeeded, w=51\",\"Add (4,7)=29 Succeeded, w=80\",\"Add (3,5)=31 Failed, w=80\",\"Add (6,7)=37 Succeeded, w=117\",\"Add (1,2)=38 Succeeded, w=155\",\"Add (2,5)=41 Failed, w=155\",\"Add (2,3)=43 Failed, w=155\",\"Add (1,7)=53 Failed, w=155\",\"Add (5,6)=54 Failed, w=155\",\"Add (5,7)=54 Failed, w=155\",\"Add (2,6)=60 Failed, w=155\",\"Add (1,4)=61 Failed, w=155\",\"Add (1,6)=69 Failed, w=155\",\"Add (2,4)=73 Failed, w=155\",\"Add (0,5)=74 Failed, w=155\",\"Add (3,7)=74 Failed, w=155\",\"Add (4,5)=74 Failed, w=155\",\"Add (4,6)=77 Failed, w=155\",\"Add (1,3)=82 Failed, w=155\",\"Add (0,2)=83 Failed, w=155\",\"Add (2,7)=87 Failed, w=155\",\"Add (0,7)=88 Failed, w=155\",\"Add (3,4)=88 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,83],[0,3,12],[0,4,20],[0,5,74],[0,7,88],[1,2,38],[1,3,82],[1,4,61],[1,5,12],[1,6,69],[1,7,53],[2,3,43],[2,4,73],[2,5,41],[2,6,60],[2,7,87],[3,4,88],[3,5,31],[3,7,74],[4,5,74],[4,6,77],[4,7,29],[5,6,54],[5,7,54],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,3)=12,(1,5)=12,(0,4)=20,(4,7)=29,(3,5)=31,(6,7)=37,(1,2)=38,(2,5)=41,(2,3)=43,(1,7)=53,(5,6)=54,(5,7)=54,(2,6)=60,(1,4)=61,(1,6)=69,(2,4)=73,(0,5)=74,(3,7)=74,(4,5)=74,(4,6)=77,(1,3)=82,(0,2)=83,(2,7)=87,(0,7)=88,(3,4)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=19\",\"Find(1)=0, Find(5)=5, Add (1,5)=12 Succeeded, w=31\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=51\",\"Find(4)=0, Find(7)=7, Add (4,7)=29 Succeeded, w=80\",\"Find(3)=0, Find(5)=0, Add (3,5)=31 Failed, w=80\",\"Find(6)=6, Find(7)=0, Add (6,7)=37 Succeeded, w=117\",\"Find(1)=0, Find(2)=2, Add (1,2)=38 Succeeded, w=155\",\"Find(2)=0, Find(5)=0, Add (2,5)=41 Failed, w=155\",\"Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=155\",\"Find(1)=0, Find(7)=0, Add (1,7)=53 Failed, w=155\",\"Find(5)=0, Find(6)=0, Add (5,6)=54 Failed, w=155\",\"Find(5)=0, Find(7)=0, Add (5,7)=54 Failed, w=155\",\"Find(2)=0, Find(6)=0, Add (2,6)=60 Failed, w=155\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=155\",\"Find(1)=0, Find(6)=0, Add (1,6)=69 Failed, w=155\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=155\",\"Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=155\",\"Find(3)=0, Find(7)=0, Add (3,7)=74 Failed, w=155\",\"Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=155\",\"Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=155\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=155\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=155\",\"Find(2)=0, Find(7)=0, Add (2,7)=87 Failed, w=155\",\"Find(0)=0, Find(7)=0, Add (0,7)=88 Failed, w=155\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,83],[0,3,12],[0,4,20],[0,5,74],[0,7,88],[1,2,38],[1,3,82],[1,4,61],[1,5,12],[1,6,69],[1,7,53],[2,3,43],[2,4,73],[2,5,41],[2,6,60],[2,7,87],[3,4,88],[3,5,31],[3,7,74],[4,5,74],[4,6,77],[4,7,29],[5,6,54],[5,7,54],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,3)=12,(1,5)=12,(0,4)=20,(4,7)=29,(3,5)=31,(6,7)=37,(1,2)=38,(2,5)=41,(2,3)=43,(1,7)=53,(5,6)=54,(5,7)=54,(2,6)=60,(1,4)=61,(1,6)=69,(2,4)=73,(0,5)=74,(3,7)=74,(4,5)=74,(4,6)=77,(1,3)=82,(0,2)=83,(2,7)=87,(0,7)=88,(3,4)=88]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=12 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=29 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=31 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=37 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=38 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=41 Failed, w=155\",\"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)=43 Failed, w=155\",\"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)=53 Failed, w=155\",\"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)=54 Failed, w=155\",\"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)=54 Failed, w=155\",\"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)=60 Failed, w=155\",\"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)=61 Failed, w=155\",\"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)=69 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=155\",\"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)=74 Failed, w=155\",\"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)=74 Failed, w=155\",\"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)=74 Failed, w=155\",\"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)=77 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=155\",\"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)=83 Failed, w=155\",\"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)=87 Failed, w=155\",\"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)=88 Failed, w=155\",\"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=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,7],[0,5,68],[0,6,35],[1,3,35],[1,4,6],[2,3,18],[2,5,72],[3,4,82],[3,6,94],[4,5,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,5,68],[0,6,35],[1,3,35],[1,4,6],[2,3,18],[2,5,72],[3,4,82],[3,6,94],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,5,68],[0,6,35],[1,3,35],[1,4,6],[2,3,18],[2,5,72],[3,4,82],[3,6,94],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,5,68],[0,6,35],[1,3,35],[1,4,6],[2,3,18],[2,5,72],[3,4,82],[3,6,94],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6, w=6\",\"Add (0,3)=7, w=13\",\"Add (2,3)=18, w=31\",\"Add (0,6)=35, w=66\",\"Add (1,3)=35, w=101\",\"Add (4,5)=53, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,5,68],[0,6,35],[1,3,35],[1,4,6],[2,3,18],[2,5,72],[3,4,82],[3,6,94],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6 Succeeded, w=6\",\"Add (0,3)=7 Succeeded, w=13\",\"Add (2,3)=18 Succeeded, w=31\",\"Add (0,6)=35 Succeeded, w=66\",\"Add (1,3)=35 Succeeded, w=101\",\"Add (4,5)=53 Succeeded, w=154\",\"Add (0,5)=68 Failed, w=154\",\"Add (2,5)=72 Failed, w=154\",\"Add (3,4)=82 Failed, w=154\",\"Add (3,6)=94 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,5,68],[0,6,35],[1,3,35],[1,4,6],[2,3,18],[2,5,72],[3,4,82],[3,6,94],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(0,3)=7,(2,3)=18,(0,6)=35,(1,3)=35,(4,5)=53,(0,5)=68,(2,5)=72,(3,4)=82,(3,6)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=13\",\"Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=31\",\"Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=66\",\"Find(1)=1, Find(3)=0, Add (1,3)=35 Succeeded, w=101\",\"Find(4)=1, Find(5)=5, Add (4,5)=53 Succeeded, w=154\",\"Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=154\",\"Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=154\",\"Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=154\",\"Find(3)=1, Find(6)=1, Add (3,6)=94 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,5,68],[0,6,35],[1,3,35],[1,4,6],[2,3,18],[2,5,72],[3,4,82],[3,6,94],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(0,3)=7,(2,3)=18,(0,6)=35,(1,3)=35,(4,5)=53,(0,5)=68,(2,5)=72,(3,4)=82,(3,6)=94]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=35 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0}, Find(4)=1, Find(5)=5, Add (4,5)=53 Succeeded, w=154\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0}, Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=94 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,82],[0,3,63],[0,4,30],[1,2,10],[1,3,87],[2,3,85],[2,4,29],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,3,63],[0,4,30],[1,2,10],[1,3,87],[2,3,85],[2,4,29],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,3,63],[0,4,30],[1,2,10],[1,3,87],[2,3,85],[2,4,29],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,3,63],[0,4,30],[1,2,10],[1,3,87],[2,3,85],[2,4,29],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (2,4)=29, w=39\",\"Add (0,4)=30, w=69\",\"Add (0,3)=63, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,3,63],[0,4,30],[1,2,10],[1,3,87],[2,3,85],[2,4,29],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (2,4)=29 Succeeded, w=39\",\"Add (0,4)=30 Succeeded, w=69\",\"Add (0,3)=63 Succeeded, w=132\",\"Add (0,1)=82 Failed, w=132\",\"Add (2,3)=85 Failed, w=132\",\"Add (1,3)=87 Failed, w=132\",\"Add (3,4)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,3,63],[0,4,30],[1,2,10],[1,3,87],[2,3,85],[2,4,29],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,4)=29,(0,4)=30,(0,3)=63,(0,1)=82,(2,3)=85,(1,3)=87,(3,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(2)=1, Find(4)=4, Add (2,4)=29 Succeeded, w=39\",\"Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=69\",\"Find(0)=1, Find(3)=3, Add (0,3)=63 Succeeded, w=132\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=132\",\"Find(2)=1, Find(3)=1, Add (2,3)=85 Failed, w=132\",\"Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=132\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,3,63],[0,4,30],[1,2,10],[1,3,87],[2,3,85],[2,4,29],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,4)=29,(0,4)=30,(0,3)=63,(0,1)=82,(2,3)=85,(1,3)=87,(3,4)=99]\",\"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)=29 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=63 Succeeded, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=85 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,42],[0,2,76],[0,3,10],[0,4,44],[0,6,88],[0,7,22],[1,2,34],[1,3,59],[1,6,69],[1,7,64],[2,4,66],[2,6,38],[2,7,22],[3,5,48],[3,7,41],[4,5,35],[4,7,11],[5,6,22],[5,7,4],[6,7,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,76],[0,3,10],[0,4,44],[0,6,88],[0,7,22],[1,2,34],[1,3,59],[1,6,69],[1,7,64],[2,4,66],[2,6,38],[2,7,22],[3,5,48],[3,7,41],[4,5,35],[4,7,11],[5,6,22],[5,7,4],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,76],[0,3,10],[0,4,44],[0,6,88],[0,7,22],[1,2,34],[1,3,59],[1,6,69],[1,7,64],[2,4,66],[2,6,38],[2,7,22],[3,5,48],[3,7,41],[4,5,35],[4,7,11],[5,6,22],[5,7,4],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (0,3)\",\"Add (4,7)\",\"Add (0,7)\",\"Add (2,7)\",\"Add (5,6)\",\"Add (1,2)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,76],[0,3,10],[0,4,44],[0,6,88],[0,7,22],[1,2,34],[1,3,59],[1,6,69],[1,7,64],[2,4,66],[2,6,38],[2,7,22],[3,5,48],[3,7,41],[4,5,35],[4,7,11],[5,6,22],[5,7,4],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=4, w=4\",\"Add (0,3)=10, w=14\",\"Add (4,7)=11, w=25\",\"Add (0,7)=22, w=47\",\"Add (2,7)=22, w=69\",\"Add (5,6)=22, w=91\",\"Add (1,2)=34, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,76],[0,3,10],[0,4,44],[0,6,88],[0,7,22],[1,2,34],[1,3,59],[1,6,69],[1,7,64],[2,4,66],[2,6,38],[2,7,22],[3,5,48],[3,7,41],[4,5,35],[4,7,11],[5,6,22],[5,7,4],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=4 Succeeded, w=4\",\"Add (0,3)=10 Succeeded, w=14\",\"Add (4,7)=11 Succeeded, w=25\",\"Add (0,7)=22 Succeeded, w=47\",\"Add (2,7)=22 Succeeded, w=69\",\"Add (5,6)=22 Succeeded, w=91\",\"Add (1,2)=34 Succeeded, w=125\",\"Add (4,5)=35 Failed, w=125\",\"Add (2,6)=38 Failed, w=125\",\"Add (3,7)=41 Failed, w=125\",\"Add (0,1)=42 Failed, w=125\",\"Add (0,4)=44 Failed, w=125\",\"Add (3,5)=48 Failed, w=125\",\"Add (1,3)=59 Failed, w=125\",\"Add (1,7)=64 Failed, w=125\",\"Add (2,4)=66 Failed, w=125\",\"Add (1,6)=69 Failed, w=125\",\"Add (0,2)=76 Failed, w=125\",\"Add (6,7)=79 Failed, w=125\",\"Add (0,6)=88 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,76],[0,3,10],[0,4,44],[0,6,88],[0,7,22],[1,2,34],[1,3,59],[1,6,69],[1,7,64],[2,4,66],[2,6,38],[2,7,22],[3,5,48],[3,7,41],[4,5,35],[4,7,11],[5,6,22],[5,7,4],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=4,(0,3)=10,(4,7)=11,(0,7)=22,(2,7)=22,(5,6)=22,(1,2)=34,(4,5)=35,(2,6)=38,(3,7)=41,(0,1)=42,(0,4)=44,(3,5)=48,(1,3)=59,(1,7)=64,(2,4)=66,(1,6)=69,(0,2)=76,(6,7)=79,(0,6)=88]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=14\",\"Find(4)=4, Find(7)=5, Add (4,7)=11 Succeeded, w=25\",\"Find(0)=0, Find(7)=5, Add (0,7)=22 Succeeded, w=47\",\"Find(2)=2, Find(7)=0, Add (2,7)=22 Succeeded, w=69\",\"Find(5)=0, Find(6)=6, Add (5,6)=22 Succeeded, w=91\",\"Find(1)=1, Find(2)=0, Add (1,2)=34 Succeeded, w=125\",\"Find(4)=0, Find(5)=0, Add (4,5)=35 Failed, w=125\",\"Find(2)=0, Find(6)=0, Add (2,6)=38 Failed, w=125\",\"Find(3)=0, Find(7)=0, Add (3,7)=41 Failed, w=125\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=125\",\"Find(0)=0, Find(4)=0, Add (0,4)=44 Failed, w=125\",\"Find(3)=0, Find(5)=0, Add (3,5)=48 Failed, w=125\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=125\",\"Find(1)=0, Find(7)=0, Add (1,7)=64 Failed, w=125\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=125\",\"Find(1)=0, Find(6)=0, Add (1,6)=69 Failed, w=125\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=125\",\"Find(6)=0, Find(7)=0, Add (6,7)=79 Failed, w=125\",\"Find(0)=0, Find(6)=0, Add (0,6)=88 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,76],[0,3,10],[0,4,44],[0,6,88],[0,7,22],[1,2,34],[1,3,59],[1,6,69],[1,7,64],[2,4,66],[2,6,38],[2,7,22],[3,5,48],[3,7,41],[4,5,35],[4,7,11],[5,6,22],[5,7,4],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=4,(0,3)=10,(4,7)=11,(0,7)=22,(2,7)=22,(5,6)=22,(1,2)=34,(4,5)=35,(2,6)=38,(3,7)=41,(0,1)=42,(0,4)=44,(3,5)=48,(1,3)=59,(1,7)=64,(2,4)=66,(1,6)=69,(0,2)=76,(6,7)=79,(0,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 5, 5: 5, 6: 6, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=11 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 5, 5: 0, 6: 6, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=22 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 5, 5: 0, 6: 6, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=22 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 5, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=6, Add (5,6)=22 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=34 Succeeded, w=125\",\"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)=35 Failed, w=125\",\"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)=38 Failed, w=125\",\"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)=41 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=125\",\"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)=44 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=48 Failed, w=125\",\"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)=59 Failed, w=125\",\"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)=64 Failed, w=125\",\"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)=66 Failed, w=125\",\"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)=69 Failed, w=125\",\"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)=76 Failed, w=125\",\"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)=79 Failed, w=125\",\"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)=88 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,2,57],[1,2,51],[1,4,18],[2,3,53],[3,4,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,57],[1,2,51],[1,4,18],[2,3,53],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,57],[1,2,51],[1,4,18],[2,3,53],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,57],[1,2,51],[1,4,18],[2,3,53],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (1,4)=18, w=20\",\"Add (3,4)=31, w=51\",\"Add (1,2)=51, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,57],[1,2,51],[1,4,18],[2,3,53],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (1,4)=18 Succeeded, w=20\",\"Add (3,4)=31 Succeeded, w=51\",\"Add (1,2)=51 Succeeded, w=102\",\"Add (2,3)=53 Failed, w=102\",\"Add (0,2)=57 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,57],[1,2,51],[1,4,18],[2,3,53],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,4)=18,(3,4)=31,(1,2)=51,(2,3)=53,(0,2)=57]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=20\",\"Find(3)=3, Find(4)=0, Add (3,4)=31 Succeeded, w=51\",\"Find(1)=0, Find(2)=2, Add (1,2)=51 Succeeded, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,57],[1,2,51],[1,4,18],[2,3,53],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,4)=18,(3,4)=31,(1,2)=51,(2,3)=53,(0,2)=57]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=31 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=51 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,2,77],[0,3,6],[0,4,23],[0,5,74],[0,6,36],[1,2,61],[1,4,91],[1,5,75],[1,6,17],[1,7,50],[2,4,94],[2,5,0],[2,6,29],[2,7,45],[3,4,6],[3,5,88],[3,6,40],[3,7,12],[4,5,29],[4,6,21],[5,6,22],[5,7,76],[6,7,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,77],[0,3,6],[0,4,23],[0,5,74],[0,6,36],[1,2,61],[1,4,91],[1,5,75],[1,6,17],[1,7,50],[2,4,94],[2,5,0],[2,6,29],[2,7,45],[3,4,6],[3,5,88],[3,6,40],[3,7,12],[4,5,29],[4,6,21],[5,6,22],[5,7,76],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,77],[0,3,6],[0,4,23],[0,5,74],[0,6,36],[1,2,61],[1,4,91],[1,5,75],[1,6,17],[1,7,50],[2,4,94],[2,5,0],[2,6,29],[2,7,45],[3,4,6],[3,5,88],[3,6,40],[3,7,12],[4,5,29],[4,6,21],[5,6,22],[5,7,76],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (6,7)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (3,7)\",\"Add (1,6)\",\"Add (5,6)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,77],[0,3,6],[0,4,23],[0,5,74],[0,6,36],[1,2,61],[1,4,91],[1,5,75],[1,6,17],[1,7,50],[2,4,94],[2,5,0],[2,6,29],[2,7,45],[3,4,6],[3,5,88],[3,6,40],[3,7,12],[4,5,29],[4,6,21],[5,6,22],[5,7,76],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (6,7)=0, w=0\",\"Add (0,3)=6, w=6\",\"Add (3,4)=6, w=12\",\"Add (3,7)=12, w=24\",\"Add (1,6)=17, w=41\",\"Add (5,6)=22, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,77],[0,3,6],[0,4,23],[0,5,74],[0,6,36],[1,2,61],[1,4,91],[1,5,75],[1,6,17],[1,7,50],[2,4,94],[2,5,0],[2,6,29],[2,7,45],[3,4,6],[3,5,88],[3,6,40],[3,7,12],[4,5,29],[4,6,21],[5,6,22],[5,7,76],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (6,7)=0 Succeeded, w=0\",\"Add (0,3)=6 Succeeded, w=6\",\"Add (3,4)=6 Succeeded, w=12\",\"Add (3,7)=12 Succeeded, w=24\",\"Add (1,6)=17 Succeeded, w=41\",\"Add (4,6)=21 Failed, w=41\",\"Add (5,6)=22 Succeeded, w=63\",\"Add (0,4)=23 Failed, w=63\",\"Add (2,6)=29 Failed, w=63\",\"Add (4,5)=29 Failed, w=63\",\"Add (0,6)=36 Failed, w=63\",\"Add (3,6)=40 Failed, w=63\",\"Add (2,7)=45 Failed, w=63\",\"Add (1,7)=50 Failed, w=63\",\"Add (1,2)=61 Failed, w=63\",\"Add (0,1)=67 Failed, w=63\",\"Add (0,5)=74 Failed, w=63\",\"Add (1,5)=75 Failed, w=63\",\"Add (5,7)=76 Failed, w=63\",\"Add (0,2)=77 Failed, w=63\",\"Add (3,5)=88 Failed, w=63\",\"Add (1,4)=91 Failed, w=63\",\"Add (2,4)=94 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,77],[0,3,6],[0,4,23],[0,5,74],[0,6,36],[1,2,61],[1,4,91],[1,5,75],[1,6,17],[1,7,50],[2,4,94],[2,5,0],[2,6,29],[2,7,45],[3,4,6],[3,5,88],[3,6,40],[3,7,12],[4,5,29],[4,6,21],[5,6,22],[5,7,76],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(6,7)=0,(0,3)=6,(3,4)=6,(3,7)=12,(1,6)=17,(4,6)=21,(5,6)=22,(0,4)=23,(2,6)=29,(4,5)=29,(0,6)=36,(3,6)=40,(2,7)=45,(1,7)=50,(1,2)=61,(0,1)=67,(0,5)=74,(1,5)=75,(5,7)=76,(0,2)=77,(3,5)=88,(1,4)=91,(2,4)=94]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(3)=0, Find(4)=4, Add (3,4)=6 Succeeded, w=12\",\"Find(3)=0, Find(7)=6, Add (3,7)=12 Succeeded, w=24\",\"Find(1)=1, Find(6)=0, Add (1,6)=17 Succeeded, w=41\",\"Find(4)=0, Find(6)=0, Add (4,6)=21 Failed, w=41\",\"Find(5)=2, Find(6)=0, Add (5,6)=22 Succeeded, w=63\",\"Find(0)=0, Find(4)=0, Add (0,4)=23 Failed, w=63\",\"Find(2)=0, Find(6)=0, Add (2,6)=29 Failed, w=63\",\"Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=63\",\"Find(0)=0, Find(6)=0, Add (0,6)=36 Failed, w=63\",\"Find(3)=0, Find(6)=0, Add (3,6)=40 Failed, w=63\",\"Find(2)=0, Find(7)=0, Add (2,7)=45 Failed, w=63\",\"Find(1)=0, Find(7)=0, Add (1,7)=50 Failed, w=63\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=63\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=63\",\"Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=63\",\"Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=63\",\"Find(5)=0, Find(7)=0, Add (5,7)=76 Failed, w=63\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=63\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=63\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=63\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,77],[0,3,6],[0,4,23],[0,5,74],[0,6,36],[1,2,61],[1,4,91],[1,5,75],[1,6,17],[1,7,50],[2,4,94],[2,5,0],[2,6,29],[2,7,45],[3,4,6],[3,5,88],[3,6,40],[3,7,12],[4,5,29],[4,6,21],[5,6,22],[5,7,76],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(6,7)=0,(0,3)=6,(3,4)=6,(3,7)=12,(1,6)=17,(4,6)=21,(5,6)=22,(0,4)=23,(2,6)=29,(4,5)=29,(0,6)=36,(3,6)=40,(2,7)=45,(1,7)=50,(1,2)=61,(0,1)=67,(0,5)=74,(1,5)=75,(5,7)=76,(0,2)=77,(3,5)=88,(1,4)=91,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 6, 7: 6}, Find(3)=0, Find(4)=4, Add (3,4)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(3)=0, Find(7)=6, Add (3,7)=12 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(1)=1, Find(6)=0, Add (1,6)=17 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(4)=0, Find(6)=0, Add (4,6)=21 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(5)=2, Find(6)=0, Add (5,6)=22 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(0)=0, Find(4)=0, Add (0,4)=23 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(2)=0, Find(6)=0, Add (2,6)=29 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(6)=0, Add (0,6)=36 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(3)=0, Find(6)=0, Add (3,6)=40 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=45 Failed, w=63\",\"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)=50 Failed, w=63\",\"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)=61 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=63\",\"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)=74 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=63\",\"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)=76 Failed, w=63\",\"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)=77 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=63\",\"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)=91 Failed, w=63\",\"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)=94 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,77],[0,2,29],[0,3,98],[0,4,52],[0,5,46],[1,2,55],[1,3,75],[1,4,46],[2,3,76],[2,5,4],[3,4,43],[3,5,7],[4,5,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,29],[0,3,98],[0,4,52],[0,5,46],[1,2,55],[1,3,75],[1,4,46],[2,3,76],[2,5,4],[3,4,43],[3,5,7],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,29],[0,3,98],[0,4,52],[0,5,46],[1,2,55],[1,3,75],[1,4,46],[2,3,76],[2,5,4],[3,4,43],[3,5,7],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,29],[0,3,98],[0,4,52],[0,5,46],[1,2,55],[1,3,75],[1,4,46],[2,3,76],[2,5,4],[3,4,43],[3,5,7],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (3,5)=7, w=11\",\"Add (4,5)=7, w=18\",\"Add (0,2)=29, w=47\",\"Add (1,4)=46, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,29],[0,3,98],[0,4,52],[0,5,46],[1,2,55],[1,3,75],[1,4,46],[2,3,76],[2,5,4],[3,4,43],[3,5,7],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (3,5)=7 Succeeded, w=11\",\"Add (4,5)=7 Succeeded, w=18\",\"Add (0,2)=29 Succeeded, w=47\",\"Add (3,4)=43 Failed, w=47\",\"Add (0,5)=46 Failed, w=47\",\"Add (1,4)=46 Succeeded, w=93\",\"Add (0,4)=52 Failed, w=93\",\"Add (1,2)=55 Failed, w=93\",\"Add (1,3)=75 Failed, w=93\",\"Add (2,3)=76 Failed, w=93\",\"Add (0,1)=77 Failed, w=93\",\"Add (0,3)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,29],[0,3,98],[0,4,52],[0,5,46],[1,2,55],[1,3,75],[1,4,46],[2,3,76],[2,5,4],[3,4,43],[3,5,7],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(3,5)=7,(4,5)=7,(0,2)=29,(3,4)=43,(0,5)=46,(1,4)=46,(0,4)=52,(1,2)=55,(1,3)=75,(2,3)=76,(0,1)=77,(0,3)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=2, Add (3,5)=7 Succeeded, w=11\",\"Find(4)=4, Find(5)=2, Add (4,5)=7 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=47\",\"Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=47\",\"Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=47\",\"Find(1)=1, Find(4)=2, Add (1,4)=46 Succeeded, w=93\",\"Find(0)=2, Find(4)=2, Add (0,4)=52 Failed, w=93\",\"Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=93\",\"Find(1)=2, Find(3)=2, Add (1,3)=75 Failed, w=93\",\"Find(2)=2, Find(3)=2, Add (2,3)=76 Failed, w=93\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=93\",\"Find(0)=2, Find(3)=2, Add (0,3)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,29],[0,3,98],[0,4,52],[0,5,46],[1,2,55],[1,3,75],[1,4,46],[2,3,76],[2,5,4],[3,4,43],[3,5,7],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(3,5)=7,(4,5)=7,(0,2)=29,(3,4)=43,(0,5)=46,(1,4)=46,(0,4)=52,(1,2)=55,(1,3)=75,(2,3)=76,(0,1)=77,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=7 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=43 Failed, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=46 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=52 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=75 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=76 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,8],[0,2,79],[0,3,82],[0,6,28],[1,2,9],[1,3,83],[1,6,58],[2,4,59],[2,5,23],[2,6,91],[3,4,85],[3,5,57],[3,6,36],[4,5,36],[5,6,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,79],[0,3,82],[0,6,28],[1,2,9],[1,3,83],[1,6,58],[2,4,59],[2,5,23],[2,6,91],[3,4,85],[3,5,57],[3,6,36],[4,5,36],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,79],[0,3,82],[0,6,28],[1,2,9],[1,3,83],[1,6,58],[2,4,59],[2,5,23],[2,6,91],[3,4,85],[3,5,57],[3,6,36],[4,5,36],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (3,6)\",\"Add (4,5)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,79],[0,3,82],[0,6,28],[1,2,9],[1,3,83],[1,6,58],[2,4,59],[2,5,23],[2,6,91],[3,4,85],[3,5,57],[3,6,36],[4,5,36],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (1,2)=9, w=17\",\"Add (2,5)=23, w=40\",\"Add (0,6)=28, w=68\",\"Add (3,6)=36, w=104\",\"Add (4,5)=36, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,79],[0,3,82],[0,6,28],[1,2,9],[1,3,83],[1,6,58],[2,4,59],[2,5,23],[2,6,91],[3,4,85],[3,5,57],[3,6,36],[4,5,36],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (1,2)=9 Succeeded, w=17\",\"Add (2,5)=23 Succeeded, w=40\",\"Add (0,6)=28 Succeeded, w=68\",\"Add (3,6)=36 Succeeded, w=104\",\"Add (4,5)=36 Succeeded, w=140\",\"Add (3,5)=57 Failed, w=140\",\"Add (1,6)=58 Failed, w=140\",\"Add (2,4)=59 Failed, w=140\",\"Add (5,6)=77 Failed, w=140\",\"Add (0,2)=79 Failed, w=140\",\"Add (0,3)=82 Failed, w=140\",\"Add (1,3)=83 Failed, w=140\",\"Add (3,4)=85 Failed, w=140\",\"Add (2,6)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,79],[0,3,82],[0,6,28],[1,2,9],[1,3,83],[1,6,58],[2,4,59],[2,5,23],[2,6,91],[3,4,85],[3,5,57],[3,6,36],[4,5,36],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(1,2)=9,(2,5)=23,(0,6)=28,(3,6)=36,(4,5)=36,(3,5)=57,(1,6)=58,(2,4)=59,(5,6)=77,(0,2)=79,(0,3)=82,(1,3)=83,(3,4)=85,(2,6)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(1)=0, Find(2)=2, Add (1,2)=9 Succeeded, w=17\",\"Find(2)=0, Find(5)=5, Add (2,5)=23 Succeeded, w=40\",\"Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=68\",\"Find(3)=3, Find(6)=0, Add (3,6)=36 Succeeded, w=104\",\"Find(4)=4, Find(5)=0, Add (4,5)=36 Succeeded, w=140\",\"Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=140\",\"Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=140\",\"Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=140\",\"Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=140\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=140\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=140\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=140\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=140\",\"Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,79],[0,3,82],[0,6,28],[1,2,9],[1,3,83],[1,6,58],[2,4,59],[2,5,23],[2,6,91],[3,4,85],[3,5,57],[3,6,36],[4,5,36],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(1,2)=9,(2,5)=23,(0,6)=28,(3,6)=36,(4,5)=36,(3,5)=57,(1,6)=58,(2,4)=59,(5,6)=77,(0,2)=79,(0,3)=82,(1,3)=83,(3,4)=85,(2,6)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=5, Add (2,5)=23 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=36 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(5)=0, Add (4,5)=36 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,63],[0,2,79],[0,3,8],[0,4,31],[0,5,56],[0,6,90],[0,7,92],[1,2,79],[1,3,25],[1,4,13],[1,5,72],[1,7,72],[2,3,47],[2,4,71],[2,5,67],[2,6,99],[3,4,3],[3,5,67],[3,6,94],[3,7,24],[4,5,59],[4,6,6],[5,6,82],[5,7,2],[6,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,79],[0,3,8],[0,4,31],[0,5,56],[0,6,90],[0,7,92],[1,2,79],[1,3,25],[1,4,13],[1,5,72],[1,7,72],[2,3,47],[2,4,71],[2,5,67],[2,6,99],[3,4,3],[3,5,67],[3,6,94],[3,7,24],[4,5,59],[4,6,6],[5,6,82],[5,7,2],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,79],[0,3,8],[0,4,31],[0,5,56],[0,6,90],[0,7,92],[1,2,79],[1,3,25],[1,4,13],[1,5,72],[1,7,72],[2,3,47],[2,4,71],[2,5,67],[2,6,99],[3,4,3],[3,5,67],[3,6,94],[3,7,24],[4,5,59],[4,6,6],[5,6,82],[5,7,2],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (3,7)\",\"Add (2,3)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,79],[0,3,8],[0,4,31],[0,5,56],[0,6,90],[0,7,92],[1,2,79],[1,3,25],[1,4,13],[1,5,72],[1,7,72],[2,3,47],[2,4,71],[2,5,67],[2,6,99],[3,4,3],[3,5,67],[3,6,94],[3,7,24],[4,5,59],[4,6,6],[5,6,82],[5,7,2],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2, w=2\",\"Add (3,4)=3, w=5\",\"Add (4,6)=6, w=11\",\"Add (0,3)=8, w=19\",\"Add (1,4)=13, w=32\",\"Add (3,7)=24, w=56\",\"Add (2,3)=47, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,79],[0,3,8],[0,4,31],[0,5,56],[0,6,90],[0,7,92],[1,2,79],[1,3,25],[1,4,13],[1,5,72],[1,7,72],[2,3,47],[2,4,71],[2,5,67],[2,6,99],[3,4,3],[3,5,67],[3,6,94],[3,7,24],[4,5,59],[4,6,6],[5,6,82],[5,7,2],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2 Succeeded, w=2\",\"Add (3,4)=3 Succeeded, w=5\",\"Add (4,6)=6 Succeeded, w=11\",\"Add (0,3)=8 Succeeded, w=19\",\"Add (1,4)=13 Succeeded, w=32\",\"Add (3,7)=24 Succeeded, w=56\",\"Add (1,3)=25 Failed, w=56\",\"Add (0,4)=31 Failed, w=56\",\"Add (2,3)=47 Succeeded, w=103\",\"Add (0,5)=56 Failed, w=103\",\"Add (4,5)=59 Failed, w=103\",\"Add (6,7)=59 Failed, w=103\",\"Add (0,1)=63 Failed, w=103\",\"Add (2,5)=67 Failed, w=103\",\"Add (3,5)=67 Failed, w=103\",\"Add (2,4)=71 Failed, w=103\",\"Add (1,5)=72 Failed, w=103\",\"Add (1,7)=72 Failed, w=103\",\"Add (0,2)=79 Failed, w=103\",\"Add (1,2)=79 Failed, w=103\",\"Add (5,6)=82 Failed, w=103\",\"Add (0,6)=90 Failed, w=103\",\"Add (0,7)=92 Failed, w=103\",\"Add (3,6)=94 Failed, w=103\",\"Add (2,6)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,79],[0,3,8],[0,4,31],[0,5,56],[0,6,90],[0,7,92],[1,2,79],[1,3,25],[1,4,13],[1,5,72],[1,7,72],[2,3,47],[2,4,71],[2,5,67],[2,6,99],[3,4,3],[3,5,67],[3,6,94],[3,7,24],[4,5,59],[4,6,6],[5,6,82],[5,7,2],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(3,4)=3,(4,6)=6,(0,3)=8,(1,4)=13,(3,7)=24,(1,3)=25,(0,4)=31,(2,3)=47,(0,5)=56,(4,5)=59,(6,7)=59,(0,1)=63,(2,5)=67,(3,5)=67,(2,4)=71,(1,5)=72,(1,7)=72,(0,2)=79,(1,2)=79,(5,6)=82,(0,6)=90,(0,7)=92,(3,6)=94,(2,6)=99]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=5\",\"Find(4)=3, Find(6)=6, Add (4,6)=6 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=19\",\"Find(1)=1, Find(4)=3, Add (1,4)=13 Succeeded, w=32\",\"Find(3)=3, Find(7)=5, Add (3,7)=24 Succeeded, w=56\",\"Find(1)=3, Find(3)=3, Add (1,3)=25 Failed, w=56\",\"Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=56\",\"Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=103\",\"Find(0)=3, Find(5)=3, Add (0,5)=56 Failed, w=103\",\"Find(4)=3, Find(5)=3, Add (4,5)=59 Failed, w=103\",\"Find(6)=3, Find(7)=3, Add (6,7)=59 Failed, w=103\",\"Find(0)=3, Find(1)=3, Add (0,1)=63 Failed, w=103\",\"Find(2)=3, Find(5)=3, Add (2,5)=67 Failed, w=103\",\"Find(3)=3, Find(5)=3, Add (3,5)=67 Failed, w=103\",\"Find(2)=3, Find(4)=3, Add (2,4)=71 Failed, w=103\",\"Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=103\",\"Find(1)=3, Find(7)=3, Add (1,7)=72 Failed, w=103\",\"Find(0)=3, Find(2)=3, Add (0,2)=79 Failed, w=103\",\"Find(1)=3, Find(2)=3, Add (1,2)=79 Failed, w=103\",\"Find(5)=3, Find(6)=3, Add (5,6)=82 Failed, w=103\",\"Find(0)=3, Find(6)=3, Add (0,6)=90 Failed, w=103\",\"Find(0)=3, Find(7)=3, Add (0,7)=92 Failed, w=103\",\"Find(3)=3, Find(6)=3, Add (3,6)=94 Failed, w=103\",\"Find(2)=3, Find(6)=3, Add (2,6)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,79],[0,3,8],[0,4,31],[0,5,56],[0,6,90],[0,7,92],[1,2,79],[1,3,25],[1,4,13],[1,5,72],[1,7,72],[2,3,47],[2,4,71],[2,5,67],[2,6,99],[3,4,3],[3,5,67],[3,6,94],[3,7,24],[4,5,59],[4,6,6],[5,6,82],[5,7,2],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(3,4)=3,(4,6)=6,(0,3)=8,(1,4)=13,(3,7)=24,(1,3)=25,(0,4)=31,(2,3)=47,(0,5)=56,(4,5)=59,(6,7)=59,(0,1)=63,(2,5)=67,(3,5)=67,(2,4)=71,(1,5)=72,(1,7)=72,(0,2)=79,(1,2)=79,(5,6)=82,(0,6)=90,(0,7)=92,(3,6)=94,(2,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 5}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(4)=3, Find(6)=6, Add (4,6)=6 Succeeded, w=11\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=19\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(1)=1, Find(4)=3, Add (1,4)=13 Succeeded, w=32\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(3)=3, Find(7)=5, Add (3,7)=24 Succeeded, w=56\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(1)=3, Find(3)=3, Add (1,3)=25 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(0)=3, Find(5)=3, Add (0,5)=56 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(4)=3, Find(5)=3, Add (4,5)=59 Failed, w=103\",\"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)=59 Failed, w=103\",\"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)=63 Failed, w=103\",\"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)=67 Failed, w=103\",\"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)=67 Failed, w=103\",\"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)=71 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=72 Failed, w=103\",\"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)=79 Failed, w=103\",\"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)=79 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=82 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=90 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=92 Failed, w=103\",\"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)=94 Failed, w=103\",\"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)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=85, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=85 Succeeded, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=85]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=85 Succeeded, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=85 Succeeded, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,60],[0,2,56],[0,3,78],[1,2,27],[1,3,17],[2,3,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,56],[0,3,78],[1,2,27],[1,3,17],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,56],[0,3,78],[1,2,27],[1,3,17],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,56],[0,3,78],[1,2,27],[1,3,17],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (1,3)=17, w=21\",\"Add (0,2)=56, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,56],[0,3,78],[1,2,27],[1,3,17],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (1,3)=17 Succeeded, w=21\",\"Add (1,2)=27 Failed, w=21\",\"Add (0,2)=56 Succeeded, w=77\",\"Add (0,1)=60 Failed, w=77\",\"Add (0,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,56],[0,3,78],[1,2,27],[1,3,17],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(1,3)=17,(1,2)=27,(0,2)=56,(0,1)=60,(0,3)=78]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=2, Add (1,3)=17 Succeeded, w=21\",\"Find(1)=2, Find(2)=2, Add (1,2)=27 Failed, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=77\",\"Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=77\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,56],[0,3,78],[1,2,27],[1,3,17],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(1,3)=17,(1,2)=27,(0,2)=56,(0,1)=60,(0,3)=78]\",\"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)=17 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=27 Failed, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,78],[0,2,22],[0,3,62],[0,4,19],[0,5,84],[0,6,77],[0,7,86],[1,2,68],[1,3,37],[1,4,39],[1,5,30],[1,6,25],[1,7,38],[2,3,23],[2,4,37],[2,5,62],[2,6,27],[2,7,95],[3,4,59],[3,5,24],[3,6,89],[3,7,58],[4,5,83],[4,6,30],[4,7,23],[5,6,39],[5,7,42],[6,7,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,22],[0,3,62],[0,4,19],[0,5,84],[0,6,77],[0,7,86],[1,2,68],[1,3,37],[1,4,39],[1,5,30],[1,6,25],[1,7,38],[2,3,23],[2,4,37],[2,5,62],[2,6,27],[2,7,95],[3,4,59],[3,5,24],[3,6,89],[3,7,58],[4,5,83],[4,6,30],[4,7,23],[5,6,39],[5,7,42],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,22],[0,3,62],[0,4,19],[0,5,84],[0,6,77],[0,7,86],[1,2,68],[1,3,37],[1,4,39],[1,5,30],[1,6,25],[1,7,38],[2,3,23],[2,4,37],[2,5,62],[2,6,27],[2,7,95],[3,4,59],[3,5,24],[3,6,89],[3,7,58],[4,5,83],[4,6,30],[4,7,23],[5,6,39],[5,7,42],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (2,6)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,22],[0,3,62],[0,4,19],[0,5,84],[0,6,77],[0,7,86],[1,2,68],[1,3,37],[1,4,39],[1,5,30],[1,6,25],[1,7,38],[2,3,23],[2,4,37],[2,5,62],[2,6,27],[2,7,95],[3,4,59],[3,5,24],[3,6,89],[3,7,58],[4,5,83],[4,6,30],[4,7,23],[5,6,39],[5,7,42],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=19, w=19\",\"Add (0,2)=22, w=41\",\"Add (2,3)=23, w=64\",\"Add (4,7)=23, w=87\",\"Add (3,5)=24, w=111\",\"Add (1,6)=25, w=136\",\"Add (2,6)=27, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,22],[0,3,62],[0,4,19],[0,5,84],[0,6,77],[0,7,86],[1,2,68],[1,3,37],[1,4,39],[1,5,30],[1,6,25],[1,7,38],[2,3,23],[2,4,37],[2,5,62],[2,6,27],[2,7,95],[3,4,59],[3,5,24],[3,6,89],[3,7,58],[4,5,83],[4,6,30],[4,7,23],[5,6,39],[5,7,42],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=19 Succeeded, w=19\",\"Add (0,2)=22 Succeeded, w=41\",\"Add (2,3)=23 Succeeded, w=64\",\"Add (4,7)=23 Succeeded, w=87\",\"Add (3,5)=24 Succeeded, w=111\",\"Add (1,6)=25 Succeeded, w=136\",\"Add (2,6)=27 Succeeded, w=163\",\"Add (1,5)=30 Failed, w=163\",\"Add (4,6)=30 Failed, w=163\",\"Add (1,3)=37 Failed, w=163\",\"Add (2,4)=37 Failed, w=163\",\"Add (1,7)=38 Failed, w=163\",\"Add (1,4)=39 Failed, w=163\",\"Add (5,6)=39 Failed, w=163\",\"Add (5,7)=42 Failed, w=163\",\"Add (3,7)=58 Failed, w=163\",\"Add (3,4)=59 Failed, w=163\",\"Add (0,3)=62 Failed, w=163\",\"Add (2,5)=62 Failed, w=163\",\"Add (1,2)=68 Failed, w=163\",\"Add (0,6)=77 Failed, w=163\",\"Add (0,1)=78 Failed, w=163\",\"Add (4,5)=83 Failed, w=163\",\"Add (0,5)=84 Failed, w=163\",\"Add (0,7)=86 Failed, w=163\",\"Add (3,6)=89 Failed, w=163\",\"Add (2,7)=95 Failed, w=163\",\"Add (6,7)=98 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,22],[0,3,62],[0,4,19],[0,5,84],[0,6,77],[0,7,86],[1,2,68],[1,3,37],[1,4,39],[1,5,30],[1,6,25],[1,7,38],[2,3,23],[2,4,37],[2,5,62],[2,6,27],[2,7,95],[3,4,59],[3,5,24],[3,6,89],[3,7,58],[4,5,83],[4,6,30],[4,7,23],[5,6,39],[5,7,42],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=19,(0,2)=22,(2,3)=23,(4,7)=23,(3,5)=24,(1,6)=25,(2,6)=27,(1,5)=30,(4,6)=30,(1,3)=37,(2,4)=37,(1,7)=38,(1,4)=39,(5,6)=39,(5,7)=42,(3,7)=58,(3,4)=59,(0,3)=62,(2,5)=62,(1,2)=68,(0,6)=77,(0,1)=78,(4,5)=83,(0,5)=84,(0,7)=86,(3,6)=89,(2,7)=95,(6,7)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=41\",\"Find(2)=0, Find(3)=3, Add (2,3)=23 Succeeded, w=64\",\"Find(4)=0, Find(7)=7, Add (4,7)=23 Succeeded, w=87\",\"Find(3)=0, Find(5)=5, Add (3,5)=24 Succeeded, w=111\",\"Find(1)=1, Find(6)=6, Add (1,6)=25 Succeeded, w=136\",\"Find(2)=0, Find(6)=1, Add (2,6)=27 Succeeded, w=163\",\"Find(1)=0, Find(5)=0, Add (1,5)=30 Failed, w=163\",\"Find(4)=0, Find(6)=0, Add (4,6)=30 Failed, w=163\",\"Find(1)=0, Find(3)=0, Add (1,3)=37 Failed, w=163\",\"Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=163\",\"Find(1)=0, Find(7)=0, Add (1,7)=38 Failed, w=163\",\"Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=163\",\"Find(5)=0, Find(6)=0, Add (5,6)=39 Failed, w=163\",\"Find(5)=0, Find(7)=0, Add (5,7)=42 Failed, w=163\",\"Find(3)=0, Find(7)=0, Add (3,7)=58 Failed, w=163\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=163\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=163\",\"Find(2)=0, Find(5)=0, Add (2,5)=62 Failed, w=163\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=163\",\"Find(0)=0, Find(6)=0, Add (0,6)=77 Failed, w=163\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=163\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=163\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=163\",\"Find(0)=0, Find(7)=0, Add (0,7)=86 Failed, w=163\",\"Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=163\",\"Find(2)=0, Find(7)=0, Add (2,7)=95 Failed, w=163\",\"Find(6)=0, Find(7)=0, Add (6,7)=98 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,22],[0,3,62],[0,4,19],[0,5,84],[0,6,77],[0,7,86],[1,2,68],[1,3,37],[1,4,39],[1,5,30],[1,6,25],[1,7,38],[2,3,23],[2,4,37],[2,5,62],[2,6,27],[2,7,95],[3,4,59],[3,5,24],[3,6,89],[3,7,58],[4,5,83],[4,6,30],[4,7,23],[5,6,39],[5,7,42],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=19,(0,2)=22,(2,3)=23,(4,7)=23,(3,5)=24,(1,6)=25,(2,6)=27,(1,5)=30,(4,6)=30,(1,3)=37,(2,4)=37,(1,7)=38,(1,4)=39,(5,6)=39,(5,7)=42,(3,7)=58,(3,4)=59,(0,3)=62,(2,5)=62,(1,2)=68,(0,6)=77,(0,1)=78,(4,5)=83,(0,5)=84,(0,7)=86,(3,6)=89,(2,7)=95,(6,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=23 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=23 Succeeded, w=87\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=0, Find(5)=5, Add (3,5)=24 Succeeded, w=111\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(1)=1, Find(6)=6, Add (1,6)=25 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(2)=0, Find(6)=1, Add (2,6)=27 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=30 Failed, w=163\",\"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)=30 Failed, w=163\",\"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)=37 Failed, w=163\",\"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)=37 Failed, w=163\",\"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)=38 Failed, w=163\",\"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)=39 Failed, w=163\",\"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)=39 Failed, w=163\",\"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)=42 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=58 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=163\",\"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=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=62 Failed, w=163\",\"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)=68 Failed, w=163\",\"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)=77 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=163\",\"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)=84 Failed, w=163\",\"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)=86 Failed, w=163\",\"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)=89 Failed, w=163\",\"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)=95 Failed, w=163\",\"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)=98 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,0],[0,2,21],[0,3,60],[0,4,30],[0,5,95],[0,6,17],[1,3,97],[1,4,94],[1,5,36],[1,6,89],[2,3,8],[2,4,22],[2,5,70],[3,4,1],[3,6,61],[4,5,96],[4,6,71],[5,6,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,21],[0,3,60],[0,4,30],[0,5,95],[0,6,17],[1,3,97],[1,4,94],[1,5,36],[1,6,89],[2,3,8],[2,4,22],[2,5,70],[3,4,1],[3,6,61],[4,5,96],[4,6,71],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,21],[0,3,60],[0,4,30],[0,5,95],[0,6,17],[1,3,97],[1,4,94],[1,5,36],[1,6,89],[2,3,8],[2,4,22],[2,5,70],[3,4,1],[3,6,61],[4,5,96],[4,6,71],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,21],[0,3,60],[0,4,30],[0,5,95],[0,6,17],[1,3,97],[1,4,94],[1,5,36],[1,6,89],[2,3,8],[2,4,22],[2,5,70],[3,4,1],[3,6,61],[4,5,96],[4,6,71],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (3,4)=1, w=1\",\"Add (2,3)=8, w=9\",\"Add (0,6)=17, w=26\",\"Add (0,2)=21, w=47\",\"Add (1,5)=36, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,21],[0,3,60],[0,4,30],[0,5,95],[0,6,17],[1,3,97],[1,4,94],[1,5,36],[1,6,89],[2,3,8],[2,4,22],[2,5,70],[3,4,1],[3,6,61],[4,5,96],[4,6,71],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (3,4)=1 Succeeded, w=1\",\"Add (2,3)=8 Succeeded, w=9\",\"Add (0,6)=17 Succeeded, w=26\",\"Add (0,2)=21 Succeeded, w=47\",\"Add (2,4)=22 Failed, w=47\",\"Add (0,4)=30 Failed, w=47\",\"Add (1,5)=36 Succeeded, w=83\",\"Add (5,6)=49 Failed, w=83\",\"Add (0,3)=60 Failed, w=83\",\"Add (3,6)=61 Failed, w=83\",\"Add (2,5)=70 Failed, w=83\",\"Add (4,6)=71 Failed, w=83\",\"Add (1,6)=89 Failed, w=83\",\"Add (1,4)=94 Failed, w=83\",\"Add (0,5)=95 Failed, w=83\",\"Add (4,5)=96 Failed, w=83\",\"Add (1,3)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,21],[0,3,60],[0,4,30],[0,5,95],[0,6,17],[1,3,97],[1,4,94],[1,5,36],[1,6,89],[2,3,8],[2,4,22],[2,5,70],[3,4,1],[3,6,61],[4,5,96],[4,6,71],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(3,4)=1,(2,3)=8,(0,6)=17,(0,2)=21,(2,4)=22,(0,4)=30,(1,5)=36,(5,6)=49,(0,3)=60,(3,6)=61,(2,5)=70,(4,6)=71,(1,6)=89,(1,4)=94,(0,5)=95,(4,5)=96,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=9\",\"Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=26\",\"Find(0)=0, Find(2)=3, Add (0,2)=21 Succeeded, w=47\",\"Find(2)=0, Find(4)=0, Add (2,4)=22 Failed, w=47\",\"Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=47\",\"Find(1)=0, Find(5)=5, Add (1,5)=36 Succeeded, w=83\",\"Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=83\",\"Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=83\",\"Find(3)=0, Find(6)=0, Add (3,6)=61 Failed, w=83\",\"Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=83\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=83\",\"Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=83\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=83\",\"Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=83\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,21],[0,3,60],[0,4,30],[0,5,95],[0,6,17],[1,3,97],[1,4,94],[1,5,36],[1,6,89],[2,3,8],[2,4,22],[2,5,70],[3,4,1],[3,6,61],[4,5,96],[4,6,71],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(3,4)=1,(2,3)=8,(0,6)=17,(0,2)=21,(2,4)=22,(0,4)=30,(1,5)=36,(5,6)=49,(0,3)=60,(3,6)=61,(2,5)=70,(4,6)=71,(1,6)=89,(1,4)=94,(0,5)=95,(4,5)=96,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 5, 6: 0}, Find(0)=0, Find(2)=3, Add (0,2)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=22 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=5, Add (1,5)=36 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=61 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,79],[0,2,88],[0,3,34],[0,4,13],[0,5,35],[0,6,45],[0,7,46],[1,2,93],[1,4,83],[1,7,57],[2,3,58],[2,4,2],[2,6,9],[3,4,57],[3,5,75],[3,6,61],[3,7,64],[5,6,49],[5,7,98],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,88],[0,3,34],[0,4,13],[0,5,35],[0,6,45],[0,7,46],[1,2,93],[1,4,83],[1,7,57],[2,3,58],[2,4,2],[2,6,9],[3,4,57],[3,5,75],[3,6,61],[3,7,64],[5,6,49],[5,7,98],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,88],[0,3,34],[0,4,13],[0,5,35],[0,6,45],[0,7,46],[1,2,93],[1,4,83],[1,7,57],[2,3,58],[2,4,2],[2,6,9],[3,4,57],[3,5,75],[3,6,61],[3,7,64],[5,6,49],[5,7,98],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (6,7)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (1,7)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,88],[0,3,34],[0,4,13],[0,5,35],[0,6,45],[0,7,46],[1,2,93],[1,4,83],[1,7,57],[2,3,58],[2,4,2],[2,6,9],[3,4,57],[3,5,75],[3,6,61],[3,7,64],[5,6,49],[5,7,98],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (6,7)=8, w=10\",\"Add (2,6)=9, w=19\",\"Add (0,4)=13, w=32\",\"Add (0,3)=34, w=66\",\"Add (0,5)=35, w=101\",\"Add (1,7)=57, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,88],[0,3,34],[0,4,13],[0,5,35],[0,6,45],[0,7,46],[1,2,93],[1,4,83],[1,7,57],[2,3,58],[2,4,2],[2,6,9],[3,4,57],[3,5,75],[3,6,61],[3,7,64],[5,6,49],[5,7,98],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (6,7)=8 Succeeded, w=10\",\"Add (2,6)=9 Succeeded, w=19\",\"Add (0,4)=13 Succeeded, w=32\",\"Add (0,3)=34 Succeeded, w=66\",\"Add (0,5)=35 Succeeded, w=101\",\"Add (0,6)=45 Failed, w=101\",\"Add (0,7)=46 Failed, w=101\",\"Add (5,6)=49 Failed, w=101\",\"Add (1,7)=57 Succeeded, w=158\",\"Add (3,4)=57 Failed, w=158\",\"Add (2,3)=58 Failed, w=158\",\"Add (3,6)=61 Failed, w=158\",\"Add (3,7)=64 Failed, w=158\",\"Add (3,5)=75 Failed, w=158\",\"Add (0,1)=79 Failed, w=158\",\"Add (1,4)=83 Failed, w=158\",\"Add (0,2)=88 Failed, w=158\",\"Add (1,2)=93 Failed, w=158\",\"Add (5,7)=98 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,88],[0,3,34],[0,4,13],[0,5,35],[0,6,45],[0,7,46],[1,2,93],[1,4,83],[1,7,57],[2,3,58],[2,4,2],[2,6,9],[3,4,57],[3,5,75],[3,6,61],[3,7,64],[5,6,49],[5,7,98],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(6,7)=8,(2,6)=9,(0,4)=13,(0,3)=34,(0,5)=35,(0,6)=45,(0,7)=46,(5,6)=49,(1,7)=57,(3,4)=57,(2,3)=58,(3,6)=61,(3,7)=64,(3,5)=75,(0,1)=79,(1,4)=83,(0,2)=88,(1,2)=93,(5,7)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=19\",\"Find(0)=0, Find(4)=2, Add (0,4)=13 Succeeded, w=32\",\"Find(0)=2, Find(3)=3, Add (0,3)=34 Succeeded, w=66\",\"Find(0)=2, Find(5)=5, Add (0,5)=35 Succeeded, w=101\",\"Find(0)=2, Find(6)=2, Add (0,6)=45 Failed, w=101\",\"Find(0)=2, Find(7)=2, Add (0,7)=46 Failed, w=101\",\"Find(5)=2, Find(6)=2, Add (5,6)=49 Failed, w=101\",\"Find(1)=1, Find(7)=2, Add (1,7)=57 Succeeded, w=158\",\"Find(3)=2, Find(4)=2, Add (3,4)=57 Failed, w=158\",\"Find(2)=2, Find(3)=2, Add (2,3)=58 Failed, w=158\",\"Find(3)=2, Find(6)=2, Add (3,6)=61 Failed, w=158\",\"Find(3)=2, Find(7)=2, Add (3,7)=64 Failed, w=158\",\"Find(3)=2, Find(5)=2, Add (3,5)=75 Failed, w=158\",\"Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=158\",\"Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=158\",\"Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=158\",\"Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=158\",\"Find(5)=2, Find(7)=2, Add (5,7)=98 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,88],[0,3,34],[0,4,13],[0,5,35],[0,6,45],[0,7,46],[1,2,93],[1,4,83],[1,7,57],[2,3,58],[2,4,2],[2,6,9],[3,4,57],[3,5,75],[3,6,61],[3,7,64],[5,6,49],[5,7,98],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(6,7)=8,(2,6)=9,(0,4)=13,(0,3)=34,(0,5)=35,(0,6)=45,(0,7)=46,(5,6)=49,(1,7)=57,(3,4)=57,(2,3)=58,(3,6)=61,(3,7)=64,(3,5)=75,(0,1)=79,(1,4)=83,(0,2)=88,(1,2)=93,(5,7)=98]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 6}, Find(0)=0, Find(4)=2, Add (0,4)=13 Succeeded, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 6}, Find(0)=2, Find(3)=3, Add (0,3)=34 Succeeded, w=66\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(5)=5, Add (0,5)=35 Succeeded, w=101\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(6)=2, Add (0,6)=45 Failed, w=101\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=46 Failed, w=101\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=49 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=57 Succeeded, w=158\",\"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)=57 Failed, w=158\",\"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)=58 Failed, w=158\",\"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)=61 Failed, w=158\",\"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)=64 Failed, w=158\",\"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)=75 Failed, w=158\",\"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)=79 Failed, w=158\",\"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)=83 Failed, w=158\",\"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)=88 Failed, w=158\",\"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)=93 Failed, w=158\",\"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)=98 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,20],[0,2,44],[0,4,57],[0,5,90],[0,6,72],[0,7,43],[1,3,42],[1,5,88],[1,6,68],[1,7,65],[2,3,29],[2,4,7],[2,5,75],[2,7,48],[3,4,45],[3,5,60],[3,6,23],[4,5,45],[5,7,8],[6,7,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,44],[0,4,57],[0,5,90],[0,6,72],[0,7,43],[1,3,42],[1,5,88],[1,6,68],[1,7,65],[2,3,29],[2,4,7],[2,5,75],[2,7,48],[3,4,45],[3,5,60],[3,6,23],[4,5,45],[5,7,8],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,44],[0,4,57],[0,5,90],[0,6,72],[0,7,43],[1,3,42],[1,5,88],[1,6,68],[1,7,65],[2,3,29],[2,4,7],[2,5,75],[2,7,48],[3,4,45],[3,5,60],[3,6,23],[4,5,45],[5,7,8],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (5,7)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (6,7)\",\"Add (1,3)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,44],[0,4,57],[0,5,90],[0,6,72],[0,7,43],[1,3,42],[1,5,88],[1,6,68],[1,7,65],[2,3,29],[2,4,7],[2,5,75],[2,7,48],[3,4,45],[3,5,60],[3,6,23],[4,5,45],[5,7,8],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7, w=7\",\"Add (5,7)=8, w=15\",\"Add (0,1)=20, w=35\",\"Add (3,6)=23, w=58\",\"Add (2,3)=29, w=87\",\"Add (6,7)=40, w=127\",\"Add (1,3)=42, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,44],[0,4,57],[0,5,90],[0,6,72],[0,7,43],[1,3,42],[1,5,88],[1,6,68],[1,7,65],[2,3,29],[2,4,7],[2,5,75],[2,7,48],[3,4,45],[3,5,60],[3,6,23],[4,5,45],[5,7,8],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7 Succeeded, w=7\",\"Add (5,7)=8 Succeeded, w=15\",\"Add (0,1)=20 Succeeded, w=35\",\"Add (3,6)=23 Succeeded, w=58\",\"Add (2,3)=29 Succeeded, w=87\",\"Add (6,7)=40 Succeeded, w=127\",\"Add (1,3)=42 Succeeded, w=169\",\"Add (0,7)=43 Failed, w=169\",\"Add (0,2)=44 Failed, w=169\",\"Add (3,4)=45 Failed, w=169\",\"Add (4,5)=45 Failed, w=169\",\"Add (2,7)=48 Failed, w=169\",\"Add (0,4)=57 Failed, w=169\",\"Add (3,5)=60 Failed, w=169\",\"Add (1,7)=65 Failed, w=169\",\"Add (1,6)=68 Failed, w=169\",\"Add (0,6)=72 Failed, w=169\",\"Add (2,5)=75 Failed, w=169\",\"Add (1,5)=88 Failed, w=169\",\"Add (0,5)=90 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,44],[0,4,57],[0,5,90],[0,6,72],[0,7,43],[1,3,42],[1,5,88],[1,6,68],[1,7,65],[2,3,29],[2,4,7],[2,5,75],[2,7,48],[3,4,45],[3,5,60],[3,6,23],[4,5,45],[5,7,8],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(5,7)=8,(0,1)=20,(3,6)=23,(2,3)=29,(6,7)=40,(1,3)=42,(0,7)=43,(0,2)=44,(3,4)=45,(4,5)=45,(2,7)=48,(0,4)=57,(3,5)=60,(1,7)=65,(1,6)=68,(0,6)=72,(2,5)=75,(1,5)=88,(0,5)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(5)=5, Find(7)=7, Add (5,7)=8 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=35\",\"Find(3)=3, Find(6)=6, Add (3,6)=23 Succeeded, w=58\",\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=87\",\"Find(6)=2, Find(7)=5, Add (6,7)=40 Succeeded, w=127\",\"Find(1)=0, Find(3)=2, Add (1,3)=42 Succeeded, w=169\",\"Find(0)=2, Find(7)=2, Add (0,7)=43 Failed, w=169\",\"Find(0)=2, Find(2)=2, Add (0,2)=44 Failed, w=169\",\"Find(3)=2, Find(4)=2, Add (3,4)=45 Failed, w=169\",\"Find(4)=2, Find(5)=2, Add (4,5)=45 Failed, w=169\",\"Find(2)=2, Find(7)=2, Add (2,7)=48 Failed, w=169\",\"Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=169\",\"Find(3)=2, Find(5)=2, Add (3,5)=60 Failed, w=169\",\"Find(1)=2, Find(7)=2, Add (1,7)=65 Failed, w=169\",\"Find(1)=2, Find(6)=2, Add (1,6)=68 Failed, w=169\",\"Find(0)=2, Find(6)=2, Add (0,6)=72 Failed, w=169\",\"Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=169\",\"Find(1)=2, Find(5)=2, Add (1,5)=88 Failed, w=169\",\"Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,44],[0,4,57],[0,5,90],[0,6,72],[0,7,43],[1,3,42],[1,5,88],[1,6,68],[1,7,65],[2,3,29],[2,4,7],[2,5,75],[2,7,48],[3,4,45],[3,5,60],[3,6,23],[4,5,45],[5,7,8],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(5,7)=8,(0,1)=20,(3,6)=23,(2,3)=29,(6,7)=40,(1,3)=42,(0,7)=43,(0,2)=44,(3,4)=45,(4,5)=45,(2,7)=48,(0,4)=57,(3,5)=60,(1,7)=65,(1,6)=68,(0,6)=72,(2,5)=75,(1,5)=88,(0,5)=90]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 5}, Find(3)=3, Find(6)=6, Add (3,6)=23 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3, 7: 5}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(6)=2, Find(7)=5, Add (6,7)=40 Succeeded, w=127\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(1)=0, Find(3)=2, Add (1,3)=42 Succeeded, w=169\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=43 Failed, w=169\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=44 Failed, w=169\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=45 Failed, w=169\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=45 Failed, w=169\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=48 Failed, w=169\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=169\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=60 Failed, w=169\",\"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)=65 Failed, w=169\",\"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)=68 Failed, w=169\",\"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)=72 Failed, w=169\",\"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)=75 Failed, w=169\",\"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)=88 Failed, w=169\",\"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)=90 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,2,27],[0,3,28],[1,2,64],[1,3,44],[1,4,72],[2,3,88],[2,4,12],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,27],[0,3,28],[1,2,64],[1,3,44],[1,4,72],[2,3,88],[2,4,12],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,27],[0,3,28],[1,2,64],[1,3,44],[1,4,72],[2,3,88],[2,4,12],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,27],[0,3,28],[1,2,64],[1,3,44],[1,4,72],[2,3,88],[2,4,12],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=12, w=12\",\"Add (0,2)=27, w=39\",\"Add (0,3)=28, w=67\",\"Add (1,3)=44, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,27],[0,3,28],[1,2,64],[1,3,44],[1,4,72],[2,3,88],[2,4,12],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=12 Succeeded, w=12\",\"Add (0,2)=27 Succeeded, w=39\",\"Add (0,3)=28 Succeeded, w=67\",\"Add (1,3)=44 Succeeded, w=111\",\"Add (3,4)=58 Failed, w=111\",\"Add (1,2)=64 Failed, w=111\",\"Add (1,4)=72 Failed, w=111\",\"Add (2,3)=88 Failed, w=111\",\"Add (0,1)=96 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,27],[0,3,28],[1,2,64],[1,3,44],[1,4,72],[2,3,88],[2,4,12],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=12,(0,2)=27,(0,3)=28,(1,3)=44,(3,4)=58,(1,2)=64,(1,4)=72,(2,3)=88,(0,1)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=39\",\"Find(0)=2, Find(3)=3, Add (0,3)=28 Succeeded, w=67\",\"Find(1)=1, Find(3)=2, Add (1,3)=44 Succeeded, w=111\",\"Find(3)=2, Find(4)=2, Add (3,4)=58 Failed, w=111\",\"Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=111\",\"Find(1)=2, Find(4)=2, Add (1,4)=72 Failed, w=111\",\"Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=111\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,27],[0,3,28],[1,2,64],[1,3,44],[1,4,72],[2,3,88],[2,4,12],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=12,(0,2)=27,(0,3)=28,(1,3)=44,(3,4)=58,(1,2)=64,(1,4)=72,(2,3)=88,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=28 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=44 Succeeded, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=58 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=72 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,40],[0,2,44],[0,5,97],[0,6,90],[0,7,39],[1,3,93],[1,5,65],[1,6,14],[2,3,96],[2,4,68],[2,5,11],[2,6,18],[2,7,87],[3,5,34],[3,6,74],[3,7,45],[4,7,14],[5,6,73],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,44],[0,5,97],[0,6,90],[0,7,39],[1,3,93],[1,5,65],[1,6,14],[2,3,96],[2,4,68],[2,5,11],[2,6,18],[2,7,87],[3,5,34],[3,6,74],[3,7,45],[4,7,14],[5,6,73],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,44],[0,5,97],[0,6,90],[0,7,39],[1,3,93],[1,5,65],[1,6,14],[2,3,96],[2,4,68],[2,5,11],[2,6,18],[2,7,87],[3,5,34],[3,6,74],[3,7,45],[4,7,14],[5,6,73],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,6)\",\"Add (4,7)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (0,7)\",\"Add (0,1)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,44],[0,5,97],[0,6,90],[0,7,39],[1,3,93],[1,5,65],[1,6,14],[2,3,96],[2,4,68],[2,5,11],[2,6,18],[2,7,87],[3,5,34],[3,6,74],[3,7,45],[4,7,14],[5,6,73],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (1,6)=14, w=25\",\"Add (4,7)=14, w=39\",\"Add (2,6)=18, w=57\",\"Add (3,5)=34, w=91\",\"Add (0,7)=39, w=130\",\"Add (0,1)=40, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,44],[0,5,97],[0,6,90],[0,7,39],[1,3,93],[1,5,65],[1,6,14],[2,3,96],[2,4,68],[2,5,11],[2,6,18],[2,7,87],[3,5,34],[3,6,74],[3,7,45],[4,7,14],[5,6,73],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (1,6)=14 Succeeded, w=25\",\"Add (4,7)=14 Succeeded, w=39\",\"Add (2,6)=18 Succeeded, w=57\",\"Add (3,5)=34 Succeeded, w=91\",\"Add (0,7)=39 Succeeded, w=130\",\"Add (0,1)=40 Succeeded, w=170\",\"Add (0,2)=44 Failed, w=170\",\"Add (3,7)=45 Failed, w=170\",\"Add (6,7)=53 Failed, w=170\",\"Add (1,5)=65 Failed, w=170\",\"Add (2,4)=68 Failed, w=170\",\"Add (5,6)=73 Failed, w=170\",\"Add (3,6)=74 Failed, w=170\",\"Add (2,7)=87 Failed, w=170\",\"Add (0,6)=90 Failed, w=170\",\"Add (1,3)=93 Failed, w=170\",\"Add (2,3)=96 Failed, w=170\",\"Add (0,5)=97 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,44],[0,5,97],[0,6,90],[0,7,39],[1,3,93],[1,5,65],[1,6,14],[2,3,96],[2,4,68],[2,5,11],[2,6,18],[2,7,87],[3,5,34],[3,6,74],[3,7,45],[4,7,14],[5,6,73],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(1,6)=14,(4,7)=14,(2,6)=18,(3,5)=34,(0,7)=39,(0,1)=40,(0,2)=44,(3,7)=45,(6,7)=53,(1,5)=65,(2,4)=68,(5,6)=73,(3,6)=74,(2,7)=87,(0,6)=90,(1,3)=93,(2,3)=96,(0,5)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=25\",\"Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=39\",\"Find(2)=2, Find(6)=1, Add (2,6)=18 Succeeded, w=57\",\"Find(3)=3, Find(5)=2, Add (3,5)=34 Succeeded, w=91\",\"Find(0)=0, Find(7)=4, Add (0,7)=39 Succeeded, w=130\",\"Find(0)=4, Find(1)=2, Add (0,1)=40 Succeeded, w=170\",\"Find(0)=2, Find(2)=2, Add (0,2)=44 Failed, w=170\",\"Find(3)=2, Find(7)=2, Add (3,7)=45 Failed, w=170\",\"Find(6)=2, Find(7)=2, Add (6,7)=53 Failed, w=170\",\"Find(1)=2, Find(5)=2, Add (1,5)=65 Failed, w=170\",\"Find(2)=2, Find(4)=2, Add (2,4)=68 Failed, w=170\",\"Find(5)=2, Find(6)=2, Add (5,6)=73 Failed, w=170\",\"Find(3)=2, Find(6)=2, Add (3,6)=74 Failed, w=170\",\"Find(2)=2, Find(7)=2, Add (2,7)=87 Failed, w=170\",\"Find(0)=2, Find(6)=2, Add (0,6)=90 Failed, w=170\",\"Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=170\",\"Find(2)=2, Find(3)=2, Add (2,3)=96 Failed, w=170\",\"Find(0)=2, Find(5)=2, Add (0,5)=97 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,44],[0,5,97],[0,6,90],[0,7,39],[1,3,93],[1,5,65],[1,6,14],[2,3,96],[2,4,68],[2,5,11],[2,6,18],[2,7,87],[3,5,34],[3,6,74],[3,7,45],[4,7,14],[5,6,73],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(1,6)=14,(4,7)=14,(2,6)=18,(3,5)=34,(0,7)=39,(0,1)=40,(0,2)=44,(3,7)=45,(6,7)=53,(1,5)=65,(2,4)=68,(5,6)=73,(3,6)=74,(2,7)=87,(0,6)=90,(1,3)=93,(2,3)=96,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 4}, Find(2)=2, Find(6)=1, Add (2,6)=18 Succeeded, w=57\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1, 7: 4}, Find(3)=3, Find(5)=2, Add (3,5)=34 Succeeded, w=91\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=39 Succeeded, w=130\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 4}, Find(0)=4, Find(1)=2, Add (0,1)=40 Succeeded, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 4}, Find(0)=2, Find(2)=2, Add (0,2)=44 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=45 Failed, w=170\",\"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)=53 Failed, w=170\",\"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)=65 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=68 Failed, w=170\",\"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)=73 Failed, w=170\",\"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)=74 Failed, w=170\",\"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)=87 Failed, w=170\",\"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)=90 Failed, w=170\",\"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)=93 Failed, w=170\",\"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)=96 Failed, w=170\",\"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=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,61],[1,3,16],[1,4,29],[2,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[1,3,16],[1,4,29],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[1,3,16],[1,4,29],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[1,3,16],[1,4,29],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (1,3)=16, w=22\",\"Add (1,4)=29, w=51\",\"Add (0,2)=61, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[1,3,16],[1,4,29],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (1,3)=16 Succeeded, w=22\",\"Add (1,4)=29 Succeeded, w=51\",\"Add (0,2)=61 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[1,3,16],[1,4,29],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(1,3)=16,(1,4)=29,(0,2)=61]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=22\",\"Find(1)=1, Find(4)=2, Add (1,4)=29 Succeeded, w=51\",\"Find(0)=0, Find(2)=1, Add (0,2)=61 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[1,3,16],[1,4,29],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(1,3)=16,(1,4)=29,(0,2)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=29 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=0, Find(2)=1, Add (0,2)=61 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,80],[0,2,9],[0,3,9],[1,2,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,9],[0,3,9],[1,2,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,9],[0,3,9],[1,2,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,9],[0,3,9],[1,2,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,3)=9, w=18\",\"Add (0,1)=80, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,9],[0,3,9],[1,2,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,3)=9 Succeeded, w=18\",\"Add (0,1)=80 Succeeded, w=98\",\"Add (1,2)=94 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,9],[0,3,9],[1,2,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,3)=9,(0,1)=80,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,9],[0,3,9],[1,2,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,3)=9,(0,1)=80,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,39],[0,3,44],[0,4,52],[0,5,88],[1,2,69],[1,3,54],[1,4,1],[1,5,10],[2,3,3],[2,4,67],[2,5,19],[3,4,52],[3,5,52],[4,5,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,3,44],[0,4,52],[0,5,88],[1,2,69],[1,3,54],[1,4,1],[1,5,10],[2,3,3],[2,4,67],[2,5,19],[3,4,52],[3,5,52],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,3,44],[0,4,52],[0,5,88],[1,2,69],[1,3,54],[1,4,1],[1,5,10],[2,3,3],[2,4,67],[2,5,19],[3,4,52],[3,5,52],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (0,2)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,3,44],[0,4,52],[0,5,88],[1,2,69],[1,3,54],[1,4,1],[1,5,10],[2,3,3],[2,4,67],[2,5,19],[3,4,52],[3,5,52],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (2,3)=3, w=4\",\"Add (4,5)=4, w=8\",\"Add (2,5)=19, w=27\",\"Add (0,2)=39, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,3,44],[0,4,52],[0,5,88],[1,2,69],[1,3,54],[1,4,1],[1,5,10],[2,3,3],[2,4,67],[2,5,19],[3,4,52],[3,5,52],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (2,3)=3 Succeeded, w=4\",\"Add (4,5)=4 Succeeded, w=8\",\"Add (1,5)=10 Failed, w=8\",\"Add (2,5)=19 Succeeded, w=27\",\"Add (0,2)=39 Succeeded, w=66\",\"Add (0,3)=44 Failed, w=66\",\"Add (0,4)=52 Failed, w=66\",\"Add (3,4)=52 Failed, w=66\",\"Add (3,5)=52 Failed, w=66\",\"Add (1,3)=54 Failed, w=66\",\"Add (2,4)=67 Failed, w=66\",\"Add (1,2)=69 Failed, w=66\",\"Add (0,5)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,3,44],[0,4,52],[0,5,88],[1,2,69],[1,3,54],[1,4,1],[1,5,10],[2,3,3],[2,4,67],[2,5,19],[3,4,52],[3,5,52],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(2,3)=3,(4,5)=4,(1,5)=10,(2,5)=19,(0,2)=39,(0,3)=44,(0,4)=52,(3,4)=52,(3,5)=52,(1,3)=54,(2,4)=67,(1,2)=69,(0,5)=88]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=4\",\"Find(4)=1, Find(5)=5, Add (4,5)=4 Succeeded, w=8\",\"Find(1)=1, Find(5)=1, Add (1,5)=10 Failed, w=8\",\"Find(2)=2, Find(5)=1, Add (2,5)=19 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=66\",\"Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=66\",\"Find(0)=2, Find(4)=2, Add (0,4)=52 Failed, w=66\",\"Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=66\",\"Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=66\",\"Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=66\",\"Find(2)=2, Find(4)=2, Add (2,4)=67 Failed, w=66\",\"Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=66\",\"Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,39],[0,3,44],[0,4,52],[0,5,88],[1,2,69],[1,3,54],[1,4,1],[1,5,10],[2,3,3],[2,4,67],[2,5,19],[3,4,52],[3,5,52],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(2,3)=3,(4,5)=4,(1,5)=10,(2,5)=19,(0,2)=39,(0,3)=44,(0,4)=52,(3,4)=52,(3,5)=52,(1,3)=54,(2,4)=67,(1,2)=69,(0,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=10 Failed, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=19 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(4)=2, Add (0,4)=52 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=67 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[1,2,58],[1,5,7],[2,3,18],[2,4,87],[2,5,0],[3,4,49],[3,5,36],[4,5,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,58],[1,5,7],[2,3,18],[2,4,87],[2,5,0],[3,4,49],[3,5,36],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,58],[1,5,7],[2,3,18],[2,4,87],[2,5,0],[3,4,49],[3,5,36],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,58],[1,5,7],[2,3,18],[2,4,87],[2,5,0],[3,4,49],[3,5,36],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (1,5)=7, w=7\",\"Add (4,5)=10, w=17\",\"Add (2,3)=18, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,58],[1,5,7],[2,3,18],[2,4,87],[2,5,0],[3,4,49],[3,5,36],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (1,5)=7 Succeeded, w=7\",\"Add (4,5)=10 Succeeded, w=17\",\"Add (2,3)=18 Succeeded, w=35\",\"Add (3,5)=36 Failed, w=35\",\"Add (3,4)=49 Failed, w=35\",\"Add (1,2)=58 Failed, w=35\",\"Add (2,4)=87 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,58],[1,5,7],[2,3,18],[2,4,87],[2,5,0],[3,4,49],[3,5,36],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,5)=7,(4,5)=10,(2,3)=18,(3,5)=36,(3,4)=49,(1,2)=58,(2,4)=87]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=2, Add (1,5)=7 Succeeded, w=7\",\"Find(4)=4, Find(5)=2, Add (4,5)=10 Succeeded, w=17\",\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=35\",\"Find(3)=2, Find(5)=2, Add (3,5)=36 Failed, w=35\",\"Find(3)=2, Find(4)=2, Add (3,4)=49 Failed, w=35\",\"Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=35\",\"Find(2)=2, Find(4)=2, Add (2,4)=87 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,58],[1,5,7],[2,3,18],[2,4,87],[2,5,0],[3,4,49],[3,5,36],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,5)=7,(4,5)=10,(2,3)=18,(3,5)=36,(3,4)=49,(1,2)=58,(2,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=36 Failed, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=49 Failed, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=87 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,77],[0,3,40],[0,7,76],[1,2,82],[1,3,35],[1,5,25],[1,6,14],[2,3,11],[2,4,31],[2,5,29],[2,7,15],[3,4,100],[3,5,74],[3,6,70],[3,7,19],[4,5,1],[4,6,88],[4,7,99],[6,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,40],[0,7,76],[1,2,82],[1,3,35],[1,5,25],[1,6,14],[2,3,11],[2,4,31],[2,5,29],[2,7,15],[3,4,100],[3,5,74],[3,6,70],[3,7,19],[4,5,1],[4,6,88],[4,7,99],[6,7,92]]}",
"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\":[[0,2,77],[0,3,40],[0,7,76],[1,2,82],[1,3,35],[1,5,25],[1,6,14],[2,3,11],[2,4,31],[2,5,29],[2,7,15],[3,4,100],[3,5,74],[3,6,70],[3,7,19],[4,5,1],[4,6,88],[4,7,99],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (0,3)\"],\"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\":[[0,2,77],[0,3,40],[0,7,76],[1,2,82],[1,3,35],[1,5,25],[1,6,14],[2,3,11],[2,4,31],[2,5,29],[2,7,15],[3,4,100],[3,5,74],[3,6,70],[3,7,19],[4,5,1],[4,6,88],[4,7,99],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (2,3)=11, w=12\",\"Add (1,6)=14, w=26\",\"Add (2,7)=15, w=41\",\"Add (1,5)=25, w=66\",\"Add (2,5)=29, w=95\",\"Add (0,3)=40, 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\":[[0,2,77],[0,3,40],[0,7,76],[1,2,82],[1,3,35],[1,5,25],[1,6,14],[2,3,11],[2,4,31],[2,5,29],[2,7,15],[3,4,100],[3,5,74],[3,6,70],[3,7,19],[4,5,1],[4,6,88],[4,7,99],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (2,3)=11 Succeeded, w=12\",\"Add (1,6)=14 Succeeded, w=26\",\"Add (2,7)=15 Succeeded, w=41\",\"Add (3,7)=19 Failed, w=41\",\"Add (1,5)=25 Succeeded, w=66\",\"Add (2,5)=29 Succeeded, w=95\",\"Add (2,4)=31 Failed, w=95\",\"Add (1,3)=35 Failed, w=95\",\"Add (0,3)=40 Succeeded, w=135\",\"Add (3,6)=70 Failed, w=135\",\"Add (3,5)=74 Failed, w=135\",\"Add (0,7)=76 Failed, w=135\",\"Add (0,2)=77 Failed, w=135\",\"Add (1,2)=82 Failed, w=135\",\"Add (4,6)=88 Failed, w=135\",\"Add (6,7)=92 Failed, w=135\",\"Add (4,7)=99 Failed, w=135\",\"Add (3,4)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,40],[0,7,76],[1,2,82],[1,3,35],[1,5,25],[1,6,14],[2,3,11],[2,4,31],[2,5,29],[2,7,15],[3,4,100],[3,5,74],[3,6,70],[3,7,19],[4,5,1],[4,6,88],[4,7,99],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(2,3)=11,(1,6)=14,(2,7)=15,(3,7)=19,(1,5)=25,(2,5)=29,(2,4)=31,(1,3)=35,(0,3)=40,(3,6)=70,(3,5)=74,(0,7)=76,(0,2)=77,(1,2)=82,(4,6)=88,(6,7)=92,(4,7)=99,(3,4)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=12\",\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=26\",\"Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=41\",\"Find(3)=2, Find(7)=2, Add (3,7)=19 Failed, w=41\",\"Find(1)=1, Find(5)=4, Add (1,5)=25 Succeeded, w=66\",\"Find(2)=2, Find(5)=1, Add (2,5)=29 Succeeded, w=95\",\"Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=95\",\"Find(1)=1, Find(3)=1, Add (1,3)=35 Failed, w=95\",\"Find(0)=0, Find(3)=1, Add (0,3)=40 Succeeded, w=135\",\"Find(3)=1, Find(6)=1, Add (3,6)=70 Failed, w=135\",\"Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=135\",\"Find(0)=1, Find(7)=1, Add (0,7)=76 Failed, w=135\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=135\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=135\",\"Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=135\",\"Find(6)=1, Find(7)=1, Add (6,7)=92 Failed, w=135\",\"Find(4)=1, Find(7)=1, Add (4,7)=99 Failed, w=135\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,40],[0,7,76],[1,2,82],[1,3,35],[1,5,25],[1,6,14],[2,3,11],[2,4,31],[2,5,29],[2,7,15],[3,4,100],[3,5,74],[3,6,70],[3,7,19],[4,5,1],[4,6,88],[4,7,99],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(2,3)=11,(1,6)=14,(2,7)=15,(3,7)=19,(1,5)=25,(2,5)=29,(2,4)=31,(1,3)=35,(0,3)=40,(3,6)=70,(3,5)=74,(0,7)=76,(0,2)=77,(1,2)=82,(4,6)=88,(6,7)=92,(4,7)=99,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 1, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=19 Failed, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 4, 6: 1, 7: 2}, Find(1)=1, Find(5)=4, Add (1,5)=25 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=2, Find(5)=1, Add (2,5)=29 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=95\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(1)=1, Find(3)=1, Add (1,3)=35 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=0, Find(3)=1, Add (0,3)=40 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(6)=1, Add (3,6)=70 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=76 Failed, w=135\",\"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)=77 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=92 Failed, w=135\",\"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)=99 Failed, w=135\",\"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)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,99],[0,3,92],[0,5,16],[1,2,99],[1,3,59],[2,3,15],[2,5,1],[3,4,8],[3,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,3,92],[0,5,16],[1,2,99],[1,3,59],[2,3,15],[2,5,1],[3,4,8],[3,5,38]]}",
"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],\"edges\":[[0,1,99],[0,3,92],[0,5,16],[1,2,99],[1,3,59],[2,3,15],[2,5,1],[3,4,8],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,5)\",\"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],\"edges\":[[0,1,99],[0,3,92],[0,5,16],[1,2,99],[1,3,59],[2,3,15],[2,5,1],[3,4,8],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (3,4)=8, w=9\",\"Add (2,3)=15, w=24\",\"Add (0,5)=16, w=40\",\"Add (1,3)=59, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,3,92],[0,5,16],[1,2,99],[1,3,59],[2,3,15],[2,5,1],[3,4,8],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (3,4)=8 Succeeded, w=9\",\"Add (2,3)=15 Succeeded, w=24\",\"Add (0,5)=16 Succeeded, w=40\",\"Add (3,5)=38 Failed, w=40\",\"Add (1,3)=59 Succeeded, w=99\",\"Add (0,3)=92 Failed, w=99\",\"Add (0,1)=99 Failed, w=99\",\"Add (1,2)=99 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],\"edges\":[[0,1,99],[0,3,92],[0,5,16],[1,2,99],[1,3,59],[2,3,15],[2,5,1],[3,4,8],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(3,4)=8,(2,3)=15,(0,5)=16,(3,5)=38,(1,3)=59,(0,3)=92,(0,1)=99,(1,2)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=24\",\"Find(0)=0, Find(5)=2, Add (0,5)=16 Succeeded, w=40\",\"Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=40\",\"Find(1)=1, Find(3)=2, Add (1,3)=59 Succeeded, w=99\",\"Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=99\",\"Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=99\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 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],\"edges\":[[0,1,99],[0,3,92],[0,5,16],[1,2,99],[1,3,59],[2,3,15],[2,5,1],[3,4,8],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(3,4)=8,(2,3)=15,(0,5)=16,(3,5)=38,(1,3)=59,(0,3)=92,(0,1)=99,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=16 Succeeded, w=40\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=59 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,16],[0,3,98],[0,4,80],[1,2,32],[1,3,48],[1,4,94],[1,5,58],[2,4,46],[2,5,76],[3,4,48],[3,5,27],[4,5,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,16],[0,3,98],[0,4,80],[1,2,32],[1,3,48],[1,4,94],[1,5,58],[2,4,46],[2,5,76],[3,4,48],[3,5,27],[4,5,63]]}",
"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\":[[0,2,16],[0,3,98],[0,4,80],[1,2,32],[1,3,48],[1,4,94],[1,5,58],[2,4,46],[2,5,76],[3,4,48],[3,5,27],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (2,4)\",\"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\":[[0,2,16],[0,3,98],[0,4,80],[1,2,32],[1,3,48],[1,4,94],[1,5,58],[2,4,46],[2,5,76],[3,4,48],[3,5,27],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16, w=16\",\"Add (3,5)=27, w=43\",\"Add (1,2)=32, w=75\",\"Add (2,4)=46, w=121\",\"Add (1,3)=48, 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\":[[0,2,16],[0,3,98],[0,4,80],[1,2,32],[1,3,48],[1,4,94],[1,5,58],[2,4,46],[2,5,76],[3,4,48],[3,5,27],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16 Succeeded, w=16\",\"Add (3,5)=27 Succeeded, w=43\",\"Add (1,2)=32 Succeeded, w=75\",\"Add (2,4)=46 Succeeded, w=121\",\"Add (1,3)=48 Succeeded, w=169\",\"Add (3,4)=48 Failed, w=169\",\"Add (1,5)=58 Failed, w=169\",\"Add (4,5)=63 Failed, w=169\",\"Add (2,5)=76 Failed, w=169\",\"Add (0,4)=80 Failed, w=169\",\"Add (1,4)=94 Failed, w=169\",\"Add (0,3)=98 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\":[[0,2,16],[0,3,98],[0,4,80],[1,2,32],[1,3,48],[1,4,94],[1,5,58],[2,4,46],[2,5,76],[3,4,48],[3,5,27],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(3,5)=27,(1,2)=32,(2,4)=46,(1,3)=48,(3,4)=48,(1,5)=58,(4,5)=63,(2,5)=76,(0,4)=80,(1,4)=94,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Find(3)=3, Find(5)=5, Add (3,5)=27 Succeeded, w=43\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=75\",\"Find(2)=0, Find(4)=4, Add (2,4)=46 Succeeded, w=121\",\"Find(1)=0, Find(3)=3, Add (1,3)=48 Succeeded, w=169\",\"Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=169\",\"Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=169\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=169\",\"Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=169\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=169\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=169\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 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\":[[0,2,16],[0,3,98],[0,4,80],[1,2,32],[1,3,48],[1,4,94],[1,5,58],[2,4,46],[2,5,76],[3,4,48],[3,5,27],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(3,5)=27,(1,2)=32,(2,4)=46,(1,3)=48,(3,4)=48,(1,5)=58,(4,5)=63,(2,5)=76,(0,4)=80,(1,4)=94,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=27 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3}, Find(2)=0, Find(4)=4, Add (2,4)=46 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(3)=3, Add (1,3)=48 Succeeded, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,72],[0,2,15],[0,4,88],[1,2,76],[1,3,26],[1,4,74],[2,3,37],[2,4,49],[3,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,15],[0,4,88],[1,2,76],[1,3,26],[1,4,74],[2,3,37],[2,4,49],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,15],[0,4,88],[1,2,76],[1,3,26],[1,4,74],[2,3,37],[2,4,49],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,15],[0,4,88],[1,2,76],[1,3,26],[1,4,74],[2,3,37],[2,4,49],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,2)=15, w=16\",\"Add (1,3)=26, w=42\",\"Add (2,3)=37, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,15],[0,4,88],[1,2,76],[1,3,26],[1,4,74],[2,3,37],[2,4,49],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,2)=15 Succeeded, w=16\",\"Add (1,3)=26 Succeeded, w=42\",\"Add (2,3)=37 Succeeded, w=79\",\"Add (2,4)=49 Failed, w=79\",\"Add (0,1)=72 Failed, w=79\",\"Add (1,4)=74 Failed, w=79\",\"Add (1,2)=76 Failed, w=79\",\"Add (0,4)=88 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,15],[0,4,88],[1,2,76],[1,3,26],[1,4,74],[2,3,37],[2,4,49],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,2)=15,(1,3)=26,(2,3)=37,(2,4)=49,(0,1)=72,(1,4)=74,(1,2)=76,(0,4)=88]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=16\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=42\",\"Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=79\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,15],[0,4,88],[1,2,76],[1,3,26],[1,4,74],[2,3,37],[2,4,49],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,2)=15,(1,3)=26,(2,3)=37,(2,4)=49,(0,1)=72,(1,4)=74,(1,2)=76,(0,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=16\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=42\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=79\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,81],[0,4,96],[1,2,35],[2,3,91],[2,4,85],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,96],[1,2,35],[2,3,91],[2,4,85],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,96],[1,2,35],[2,3,91],[2,4,85],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,96],[1,2,35],[2,3,91],[2,4,85],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=35, w=35\",\"Add (0,3)=81, w=116\",\"Add (2,4)=85, w=201\",\"Add (2,3)=91, w=292\"],\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,96],[1,2,35],[2,3,91],[2,4,85],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=35 Succeeded, w=35\",\"Add (0,3)=81 Succeeded, w=116\",\"Add (2,4)=85 Succeeded, w=201\",\"Add (2,3)=91 Succeeded, w=292\",\"Add (0,4)=96 Failed, w=292\",\"Add (3,4)=97 Failed, w=292\"],\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,96],[1,2,35],[2,3,91],[2,4,85],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=35,(0,3)=81,(2,4)=85,(2,3)=91,(0,4)=96,(3,4)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=81 Succeeded, w=116\",\"Find(2)=1, Find(4)=4, Add (2,4)=85 Succeeded, w=201\",\"Find(2)=1, Find(3)=0, Add (2,3)=91 Succeeded, w=292\",\"Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=292\",\"Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=292\"],\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,81],[0,4,96],[1,2,35],[2,3,91],[2,4,85],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=35,(0,3)=81,(2,4)=85,(2,3)=91,(0,4)=96,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=81 Succeeded, w=116\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=85 Succeeded, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(3)=0, Add (2,3)=91 Succeeded, w=292\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=292\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=292\"],\"Answer\":292}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,62],[0,2,57],[0,3,68],[0,4,18],[0,5,16],[0,6,84],[0,7,17],[1,2,45],[1,3,100],[1,4,16],[1,5,63],[1,6,26],[1,7,21],[2,3,57],[2,4,73],[2,5,85],[2,6,66],[2,7,79],[3,4,43],[3,5,34],[3,6,13],[3,7,77],[4,5,7],[4,6,81],[5,6,0],[5,7,32],[6,7,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,57],[0,3,68],[0,4,18],[0,5,16],[0,6,84],[0,7,17],[1,2,45],[1,3,100],[1,4,16],[1,5,63],[1,6,26],[1,7,21],[2,3,57],[2,4,73],[2,5,85],[2,6,66],[2,7,79],[3,4,43],[3,5,34],[3,6,13],[3,7,77],[4,5,7],[4,6,81],[5,6,0],[5,7,32],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,57],[0,3,68],[0,4,18],[0,5,16],[0,6,84],[0,7,17],[1,2,45],[1,3,100],[1,4,16],[1,5,63],[1,6,26],[1,7,21],[2,3,57],[2,4,73],[2,5,85],[2,6,66],[2,7,79],[3,4,43],[3,5,34],[3,6,13],[3,7,77],[4,5,7],[4,6,81],[5,6,0],[5,7,32],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (0,7)\",\"Add (1,2)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,57],[0,3,68],[0,4,18],[0,5,16],[0,6,84],[0,7,17],[1,2,45],[1,3,100],[1,4,16],[1,5,63],[1,6,26],[1,7,21],[2,3,57],[2,4,73],[2,5,85],[2,6,66],[2,7,79],[3,4,43],[3,5,34],[3,6,13],[3,7,77],[4,5,7],[4,6,81],[5,6,0],[5,7,32],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (4,5)=7, w=7\",\"Add (3,6)=13, w=20\",\"Add (0,5)=16, w=36\",\"Add (1,4)=16, w=52\",\"Add (0,7)=17, w=69\",\"Add (1,2)=45, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,57],[0,3,68],[0,4,18],[0,5,16],[0,6,84],[0,7,17],[1,2,45],[1,3,100],[1,4,16],[1,5,63],[1,6,26],[1,7,21],[2,3,57],[2,4,73],[2,5,85],[2,6,66],[2,7,79],[3,4,43],[3,5,34],[3,6,13],[3,7,77],[4,5,7],[4,6,81],[5,6,0],[5,7,32],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (4,5)=7 Succeeded, w=7\",\"Add (3,6)=13 Succeeded, w=20\",\"Add (0,5)=16 Succeeded, w=36\",\"Add (1,4)=16 Succeeded, w=52\",\"Add (0,7)=17 Succeeded, w=69\",\"Add (0,4)=18 Failed, w=69\",\"Add (1,7)=21 Failed, w=69\",\"Add (1,6)=26 Failed, w=69\",\"Add (5,7)=32 Failed, w=69\",\"Add (3,5)=34 Failed, w=69\",\"Add (3,4)=43 Failed, w=69\",\"Add (1,2)=45 Succeeded, w=114\",\"Add (6,7)=56 Failed, w=114\",\"Add (0,2)=57 Failed, w=114\",\"Add (2,3)=57 Failed, w=114\",\"Add (0,1)=62 Failed, w=114\",\"Add (1,5)=63 Failed, w=114\",\"Add (2,6)=66 Failed, w=114\",\"Add (0,3)=68 Failed, w=114\",\"Add (2,4)=73 Failed, w=114\",\"Add (3,7)=77 Failed, w=114\",\"Add (2,7)=79 Failed, w=114\",\"Add (4,6)=81 Failed, w=114\",\"Add (0,6)=84 Failed, w=114\",\"Add (2,5)=85 Failed, w=114\",\"Add (1,3)=100 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,57],[0,3,68],[0,4,18],[0,5,16],[0,6,84],[0,7,17],[1,2,45],[1,3,100],[1,4,16],[1,5,63],[1,6,26],[1,7,21],[2,3,57],[2,4,73],[2,5,85],[2,6,66],[2,7,79],[3,4,43],[3,5,34],[3,6,13],[3,7,77],[4,5,7],[4,6,81],[5,6,0],[5,7,32],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(4,5)=7,(3,6)=13,(0,5)=16,(1,4)=16,(0,7)=17,(0,4)=18,(1,7)=21,(1,6)=26,(5,7)=32,(3,5)=34,(3,4)=43,(1,2)=45,(6,7)=56,(0,2)=57,(2,3)=57,(0,1)=62,(1,5)=63,(2,6)=66,(0,3)=68,(2,4)=73,(3,7)=77,(2,7)=79,(4,6)=81,(0,6)=84,(2,5)=85,(1,3)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(3)=3, Find(6)=5, Add (3,6)=13 Succeeded, w=20\",\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=36\",\"Find(1)=1, Find(4)=5, Add (1,4)=16 Succeeded, w=52\",\"Find(0)=5, Find(7)=7, Add (0,7)=17 Succeeded, w=69\",\"Find(0)=5, Find(4)=5, Add (0,4)=18 Failed, w=69\",\"Find(1)=5, Find(7)=5, Add (1,7)=21 Failed, w=69\",\"Find(1)=5, Find(6)=5, Add (1,6)=26 Failed, w=69\",\"Find(5)=5, Find(7)=5, Add (5,7)=32 Failed, w=69\",\"Find(3)=5, Find(5)=5, Add (3,5)=34 Failed, w=69\",\"Find(3)=5, Find(4)=5, Add (3,4)=43 Failed, w=69\",\"Find(1)=5, Find(2)=2, Add (1,2)=45 Succeeded, w=114\",\"Find(6)=5, Find(7)=5, Add (6,7)=56 Failed, w=114\",\"Find(0)=5, Find(2)=5, Add (0,2)=57 Failed, w=114\",\"Find(2)=5, Find(3)=5, Add (2,3)=57 Failed, w=114\",\"Find(0)=5, Find(1)=5, Add (0,1)=62 Failed, w=114\",\"Find(1)=5, Find(5)=5, Add (1,5)=63 Failed, w=114\",\"Find(2)=5, Find(6)=5, Add (2,6)=66 Failed, w=114\",\"Find(0)=5, Find(3)=5, Add (0,3)=68 Failed, w=114\",\"Find(2)=5, Find(4)=5, Add (2,4)=73 Failed, w=114\",\"Find(3)=5, Find(7)=5, Add (3,7)=77 Failed, w=114\",\"Find(2)=5, Find(7)=5, Add (2,7)=79 Failed, w=114\",\"Find(4)=5, Find(6)=5, Add (4,6)=81 Failed, w=114\",\"Find(0)=5, Find(6)=5, Add (0,6)=84 Failed, w=114\",\"Find(2)=5, Find(5)=5, Add (2,5)=85 Failed, w=114\",\"Find(1)=5, Find(3)=5, Add (1,3)=100 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,57],[0,3,68],[0,4,18],[0,5,16],[0,6,84],[0,7,17],[1,2,45],[1,3,100],[1,4,16],[1,5,63],[1,6,26],[1,7,21],[2,3,57],[2,4,73],[2,5,85],[2,6,66],[2,7,79],[3,4,43],[3,5,34],[3,6,13],[3,7,77],[4,5,7],[4,6,81],[5,6,0],[5,7,32],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(4,5)=7,(3,6)=13,(0,5)=16,(1,4)=16,(0,7)=17,(0,4)=18,(1,7)=21,(1,6)=26,(5,7)=32,(3,5)=34,(3,4)=43,(1,2)=45,(6,7)=56,(0,2)=57,(2,3)=57,(0,1)=62,(1,5)=63,(2,6)=66,(0,3)=68,(2,4)=73,(3,7)=77,(2,7)=79,(4,6)=81,(0,6)=84,(2,5)=85,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, 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, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 7}, Find(3)=3, Find(6)=5, Add (3,6)=13 Succeeded, w=20\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=36\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(4)=5, Add (1,4)=16 Succeeded, w=52\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=7, Add (0,7)=17 Succeeded, w=69\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=18 Failed, w=69\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=21 Failed, w=69\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=26 Failed, w=69\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=5, Add (5,7)=32 Failed, w=69\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=34 Failed, w=69\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=43 Failed, w=69\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=2, Add (1,2)=45 Succeeded, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=56 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=57 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=57 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=62 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=63 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=66 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=68 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=5, Add (2,4)=73 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=77 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=79 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(6)=5, Add (4,6)=81 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=84 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=85 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(3)=5, Add (1,3)=100 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,11],[0,3,98],[0,4,83],[0,5,36],[1,2,91],[1,3,49],[1,4,7],[1,5,85],[2,3,72],[2,4,24],[2,5,76],[3,4,83],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,3,98],[0,4,83],[0,5,36],[1,2,91],[1,3,49],[1,4,7],[1,5,85],[2,3,72],[2,4,24],[2,5,76],[3,4,83],[4,5,31]]}",
"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],\"edges\":[[0,1,11],[0,3,98],[0,4,83],[0,5,36],[1,2,91],[1,3,49],[1,4,7],[1,5,85],[2,3,72],[2,4,24],[2,5,76],[3,4,83],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,3)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,3,98],[0,4,83],[0,5,36],[1,2,91],[1,3,49],[1,4,7],[1,5,85],[2,3,72],[2,4,24],[2,5,76],[3,4,83],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7, w=7\",\"Add (0,1)=11, w=18\",\"Add (2,4)=24, w=42\",\"Add (4,5)=31, w=73\",\"Add (1,3)=49, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,3,98],[0,4,83],[0,5,36],[1,2,91],[1,3,49],[1,4,7],[1,5,85],[2,3,72],[2,4,24],[2,5,76],[3,4,83],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7 Succeeded, w=7\",\"Add (0,1)=11 Succeeded, w=18\",\"Add (2,4)=24 Succeeded, w=42\",\"Add (4,5)=31 Succeeded, w=73\",\"Add (0,5)=36 Failed, w=73\",\"Add (1,3)=49 Succeeded, w=122\",\"Add (2,3)=72 Failed, w=122\",\"Add (2,5)=76 Failed, w=122\",\"Add (0,4)=83 Failed, w=122\",\"Add (3,4)=83 Failed, w=122\",\"Add (1,5)=85 Failed, w=122\",\"Add (1,2)=91 Failed, w=122\",\"Add (0,3)=98 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],\"edges\":[[0,1,11],[0,3,98],[0,4,83],[0,5,36],[1,2,91],[1,3,49],[1,4,7],[1,5,85],[2,3,72],[2,4,24],[2,5,76],[3,4,83],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7,(0,1)=11,(2,4)=24,(4,5)=31,(0,5)=36,(1,3)=49,(2,3)=72,(2,5)=76,(0,4)=83,(3,4)=83,(1,5)=85,(1,2)=91,(0,3)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=18\",\"Find(2)=2, Find(4)=1, Add (2,4)=24 Succeeded, w=42\",\"Find(4)=1, Find(5)=5, Add (4,5)=31 Succeeded, w=73\",\"Find(0)=1, Find(5)=1, Add (0,5)=36 Failed, w=73\",\"Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=122\",\"Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=122\",\"Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=122\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=122\",\"Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=122\",\"Find(1)=1, Find(5)=1, Add (1,5)=85 Failed, w=122\",\"Find(1)=1, Find(2)=1, Add (1,2)=91 Failed, w=122\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 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],\"edges\":[[0,1,11],[0,3,98],[0,4,83],[0,5,36],[1,2,91],[1,3,49],[1,4,7],[1,5,85],[2,3,72],[2,4,24],[2,5,76],[3,4,83],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7,(0,1)=11,(2,4)=24,(4,5)=31,(0,5)=36,(1,3)=49,(2,3)=72,(2,5)=76,(0,4)=83,(3,4)=83,(1,5)=85,(1,2)=91,(0,3)=98]\",\"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(1)=1, Add (0,1)=11 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=24 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=31 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=36 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=85 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=91 Failed, w=122\",\"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=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,9],[1,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,9],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,9],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,9],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,1)=77, w=86\",\"Add (1,3)=87, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,9],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,1)=77 Succeeded, w=86\",\"Add (1,3)=87 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,9],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,1)=77,(1,3)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=86\",\"Find(1)=0, Find(3)=3, Add (1,3)=87 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,9],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,1)=77,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=87 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,4],[0,2,10],[0,3,36],[0,4,96],[0,5,100],[0,6,81],[1,2,10],[1,3,38],[1,4,38],[1,5,1],[1,6,15],[2,3,27],[2,4,75],[2,6,100],[3,4,64],[3,5,42],[3,6,73],[4,5,2],[4,6,12],[5,6,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,10],[0,3,36],[0,4,96],[0,5,100],[0,6,81],[1,2,10],[1,3,38],[1,4,38],[1,5,1],[1,6,15],[2,3,27],[2,4,75],[2,6,100],[3,4,64],[3,5,42],[3,6,73],[4,5,2],[4,6,12],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,10],[0,3,36],[0,4,96],[0,5,100],[0,6,81],[1,2,10],[1,3,38],[1,4,38],[1,5,1],[1,6,15],[2,3,27],[2,4,75],[2,6,100],[3,4,64],[3,5,42],[3,6,73],[4,5,2],[4,6,12],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (2,3)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,10],[0,3,36],[0,4,96],[0,5,100],[0,6,81],[1,2,10],[1,3,38],[1,4,38],[1,5,1],[1,6,15],[2,3,27],[2,4,75],[2,6,100],[3,4,64],[3,5,42],[3,6,73],[4,5,2],[4,6,12],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (4,5)=2, w=3\",\"Add (0,1)=4, w=7\",\"Add (0,2)=10, w=17\",\"Add (4,6)=12, w=29\",\"Add (2,3)=27, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,10],[0,3,36],[0,4,96],[0,5,100],[0,6,81],[1,2,10],[1,3,38],[1,4,38],[1,5,1],[1,6,15],[2,3,27],[2,4,75],[2,6,100],[3,4,64],[3,5,42],[3,6,73],[4,5,2],[4,6,12],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (4,5)=2 Succeeded, w=3\",\"Add (0,1)=4 Succeeded, w=7\",\"Add (0,2)=10 Succeeded, w=17\",\"Add (1,2)=10 Failed, w=17\",\"Add (4,6)=12 Succeeded, w=29\",\"Add (1,6)=15 Failed, w=29\",\"Add (2,3)=27 Succeeded, w=56\",\"Add (0,3)=36 Failed, w=56\",\"Add (1,3)=38 Failed, w=56\",\"Add (1,4)=38 Failed, w=56\",\"Add (3,5)=42 Failed, w=56\",\"Add (3,4)=64 Failed, w=56\",\"Add (5,6)=65 Failed, w=56\",\"Add (3,6)=73 Failed, w=56\",\"Add (2,4)=75 Failed, w=56\",\"Add (0,6)=81 Failed, w=56\",\"Add (0,4)=96 Failed, w=56\",\"Add (0,5)=100 Failed, w=56\",\"Add (2,6)=100 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,10],[0,3,36],[0,4,96],[0,5,100],[0,6,81],[1,2,10],[1,3,38],[1,4,38],[1,5,1],[1,6,15],[2,3,27],[2,4,75],[2,6,100],[3,4,64],[3,5,42],[3,6,73],[4,5,2],[4,6,12],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(4,5)=2,(0,1)=4,(0,2)=10,(1,2)=10,(4,6)=12,(1,6)=15,(2,3)=27,(0,3)=36,(1,3)=38,(1,4)=38,(3,5)=42,(3,4)=64,(5,6)=65,(3,6)=73,(2,4)=75,(0,6)=81,(0,4)=96,(0,5)=100,(2,6)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=1, Add (4,5)=2 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Find(0)=1, Find(2)=2, Add (0,2)=10 Succeeded, w=17\",\"Find(1)=1, Find(2)=1, Add (1,2)=10 Failed, w=17\",\"Find(4)=1, Find(6)=6, Add (4,6)=12 Succeeded, w=29\",\"Find(1)=1, Find(6)=1, Add (1,6)=15 Failed, w=29\",\"Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=56\",\"Find(0)=1, Find(3)=1, Add (0,3)=36 Failed, w=56\",\"Find(1)=1, Find(3)=1, Add (1,3)=38 Failed, w=56\",\"Find(1)=1, Find(4)=1, Add (1,4)=38 Failed, w=56\",\"Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=56\",\"Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=56\",\"Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=56\",\"Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=56\",\"Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=56\",\"Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=56\",\"Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=56\",\"Find(0)=1, Find(5)=1, Add (0,5)=100 Failed, w=56\",\"Find(2)=1, Find(6)=1, Add (2,6)=100 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,10],[0,3,36],[0,4,96],[0,5,100],[0,6,81],[1,2,10],[1,3,38],[1,4,38],[1,5,1],[1,6,15],[2,3,27],[2,4,75],[2,6,100],[3,4,64],[3,5,42],[3,6,73],[4,5,2],[4,6,12],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(4,5)=2,(0,1)=4,(0,2)=10,(1,2)=10,(4,6)=12,(1,6)=15,(2,3)=27,(0,3)=36,(1,3)=38,(1,4)=38,(3,5)=42,(3,4)=64,(5,6)=65,(3,6)=73,(2,4)=75,(0,6)=81,(0,4)=96,(0,5)=100,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(4)=4, Find(5)=1, Add (4,5)=2 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(2)=2, Add (0,2)=10 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(2)=1, Add (1,2)=10 Failed, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=12 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=15 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=36 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=38 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=38 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=100 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=100 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,2,15],[1,2,79],[1,3,7],[1,4,44],[1,5,30],[2,3,65],[2,5,7],[3,5,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,15],[1,2,79],[1,3,7],[1,4,44],[1,5,30],[2,3,65],[2,5,7],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,15],[1,2,79],[1,3,7],[1,4,44],[1,5,30],[2,3,65],[2,5,7],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (1,4)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,15],[1,2,79],[1,3,7],[1,4,44],[1,5,30],[2,3,65],[2,5,7],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (2,5)=7, w=14\",\"Add (0,2)=15, w=29\",\"Add (1,5)=30, w=59\",\"Add (1,4)=44, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,15],[1,2,79],[1,3,7],[1,4,44],[1,5,30],[2,3,65],[2,5,7],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (2,5)=7 Succeeded, w=14\",\"Add (0,2)=15 Succeeded, w=29\",\"Add (1,5)=30 Succeeded, w=59\",\"Add (1,4)=44 Succeeded, w=103\",\"Add (2,3)=65 Failed, w=103\",\"Add (0,1)=68 Failed, w=103\",\"Add (1,2)=79 Failed, w=103\",\"Add (3,5)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,15],[1,2,79],[1,3,7],[1,4,44],[1,5,30],[2,3,65],[2,5,7],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(2,5)=7,(0,2)=15,(1,5)=30,(1,4)=44,(2,3)=65,(0,1)=68,(1,2)=79,(3,5)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=29\",\"Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=59\",\"Find(1)=1, Find(4)=4, Add (1,4)=44 Succeeded, w=103\",\"Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=103\",\"Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=103\",\"Find(1)=1, Find(2)=1, Add (1,2)=79 Failed, w=103\",\"Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,15],[1,2,79],[1,3,7],[1,4,44],[1,5,30],[2,3,65],[2,5,7],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(2,5)=7,(0,2)=15,(1,5)=30,(1,4)=44,(2,3)=65,(0,1)=68,(1,2)=79,(3,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=59\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(4)=4, Add (1,4)=44 Succeeded, w=103\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(2)=1, Add (1,2)=79 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,14],[0,7,12],[1,2,6],[1,3,33],[1,5,68],[1,6,79],[2,3,60],[2,7,56],[3,5,56],[3,6,89],[4,7,83],[5,6,24],[6,7,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,7,12],[1,2,6],[1,3,33],[1,5,68],[1,6,79],[2,3,60],[2,7,56],[3,5,56],[3,6,89],[4,7,83],[5,6,24],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,7,12],[1,2,6],[1,3,33],[1,5,68],[1,6,79],[2,3,60],[2,7,56],[3,5,56],[3,6,89],[4,7,83],[5,6,24],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,7)\",\"Add (0,3)\",\"Add (5,6)\",\"Add (6,7)\",\"Add (1,3)\",\"Add (4,7)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,7,12],[1,2,6],[1,3,33],[1,5,68],[1,6,79],[2,3,60],[2,7,56],[3,5,56],[3,6,89],[4,7,83],[5,6,24],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (0,7)=12, w=18\",\"Add (0,3)=14, w=32\",\"Add (5,6)=24, w=56\",\"Add (6,7)=30, w=86\",\"Add (1,3)=33, w=119\",\"Add (4,7)=83, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,7,12],[1,2,6],[1,3,33],[1,5,68],[1,6,79],[2,3,60],[2,7,56],[3,5,56],[3,6,89],[4,7,83],[5,6,24],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (0,7)=12 Succeeded, w=18\",\"Add (0,3)=14 Succeeded, w=32\",\"Add (5,6)=24 Succeeded, w=56\",\"Add (6,7)=30 Succeeded, w=86\",\"Add (1,3)=33 Succeeded, w=119\",\"Add (2,7)=56 Failed, w=119\",\"Add (3,5)=56 Failed, w=119\",\"Add (2,3)=60 Failed, w=119\",\"Add (1,5)=68 Failed, w=119\",\"Add (1,6)=79 Failed, w=119\",\"Add (4,7)=83 Succeeded, w=202\",\"Add (3,6)=89 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,7,12],[1,2,6],[1,3,33],[1,5,68],[1,6,79],[2,3,60],[2,7,56],[3,5,56],[3,6,89],[4,7,83],[5,6,24],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,7)=12,(0,3)=14,(5,6)=24,(6,7)=30,(1,3)=33,(2,7)=56,(3,5)=56,(2,3)=60,(1,5)=68,(1,6)=79,(4,7)=83,(3,6)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(7)=7, Add (0,7)=12 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=32\",\"Find(5)=5, Find(6)=6, Add (5,6)=24 Succeeded, w=56\",\"Find(6)=5, Find(7)=0, Add (6,7)=30 Succeeded, w=86\",\"Find(1)=1, Find(3)=5, Add (1,3)=33 Succeeded, w=119\",\"Find(2)=5, Find(7)=5, Add (2,7)=56 Failed, w=119\",\"Find(3)=5, Find(5)=5, Add (3,5)=56 Failed, w=119\",\"Find(2)=5, Find(3)=5, Add (2,3)=60 Failed, w=119\",\"Find(1)=5, Find(5)=5, Add (1,5)=68 Failed, w=119\",\"Find(1)=5, Find(6)=5, Add (1,6)=79 Failed, w=119\",\"Find(4)=4, Find(7)=5, Add (4,7)=83 Succeeded, w=202\",\"Find(3)=5, Find(6)=5, Add (3,6)=89 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,14],[0,7,12],[1,2,6],[1,3,33],[1,5,68],[1,6,79],[2,3,60],[2,7,56],[3,5,56],[3,6,89],[4,7,83],[5,6,24],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,7)=12,(0,3)=14,(5,6)=24,(6,7)=30,(1,3)=33,(2,7)=56,(3,5)=56,(2,3)=60,(1,5)=68,(1,6)=79,(4,7)=83,(3,6)=89]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 5, 7: 0}, Find(5)=5, Find(6)=6, Add (5,6)=24 Succeeded, w=56\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 5, 7: 0}, Find(6)=5, Find(7)=0, Add (6,7)=30 Succeeded, w=86\",\"Parent: {0: 5, 1: 5, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 0}, Find(1)=1, Find(3)=5, Add (1,3)=33 Succeeded, w=119\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=56 Failed, w=119\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=56 Failed, w=119\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=60 Failed, w=119\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=68 Failed, w=119\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=79 Failed, w=119\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=83 Succeeded, w=202\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=89 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,75],[0,2,87],[0,3,28],[0,4,80],[0,5,77],[0,6,58],[1,2,52],[1,3,31],[1,4,31],[1,5,90],[1,6,34],[2,3,38],[2,4,9],[2,5,46],[2,6,1],[4,5,46],[4,6,39],[5,6,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,87],[0,3,28],[0,4,80],[0,5,77],[0,6,58],[1,2,52],[1,3,31],[1,4,31],[1,5,90],[1,6,34],[2,3,38],[2,4,9],[2,5,46],[2,6,1],[4,5,46],[4,6,39],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,87],[0,3,28],[0,4,80],[0,5,77],[0,6,58],[1,2,52],[1,3,31],[1,4,31],[1,5,90],[1,6,34],[2,3,38],[2,4,9],[2,5,46],[2,6,1],[4,5,46],[4,6,39],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,87],[0,3,28],[0,4,80],[0,5,77],[0,6,58],[1,2,52],[1,3,31],[1,4,31],[1,5,90],[1,6,34],[2,3,38],[2,4,9],[2,5,46],[2,6,1],[4,5,46],[4,6,39],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (2,4)=9, w=10\",\"Add (0,3)=28, w=38\",\"Add (1,3)=31, w=69\",\"Add (1,4)=31, w=100\",\"Add (2,5)=46, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,87],[0,3,28],[0,4,80],[0,5,77],[0,6,58],[1,2,52],[1,3,31],[1,4,31],[1,5,90],[1,6,34],[2,3,38],[2,4,9],[2,5,46],[2,6,1],[4,5,46],[4,6,39],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (2,4)=9 Succeeded, w=10\",\"Add (0,3)=28 Succeeded, w=38\",\"Add (1,3)=31 Succeeded, w=69\",\"Add (1,4)=31 Succeeded, w=100\",\"Add (1,6)=34 Failed, w=100\",\"Add (2,3)=38 Failed, w=100\",\"Add (4,6)=39 Failed, w=100\",\"Add (2,5)=46 Succeeded, w=146\",\"Add (4,5)=46 Failed, w=146\",\"Add (1,2)=52 Failed, w=146\",\"Add (0,6)=58 Failed, w=146\",\"Add (5,6)=65 Failed, w=146\",\"Add (0,1)=75 Failed, w=146\",\"Add (0,5)=77 Failed, w=146\",\"Add (0,4)=80 Failed, w=146\",\"Add (0,2)=87 Failed, w=146\",\"Add (1,5)=90 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,87],[0,3,28],[0,4,80],[0,5,77],[0,6,58],[1,2,52],[1,3,31],[1,4,31],[1,5,90],[1,6,34],[2,3,38],[2,4,9],[2,5,46],[2,6,1],[4,5,46],[4,6,39],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(2,4)=9,(0,3)=28,(1,3)=31,(1,4)=31,(1,6)=34,(2,3)=38,(4,6)=39,(2,5)=46,(4,5)=46,(1,2)=52,(0,6)=58,(5,6)=65,(0,1)=75,(0,5)=77,(0,4)=80,(0,2)=87,(1,5)=90]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=38\",\"Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=69\",\"Find(1)=0, Find(4)=2, Add (1,4)=31 Succeeded, w=100\",\"Find(1)=0, Find(6)=0, Add (1,6)=34 Failed, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=100\",\"Find(4)=0, Find(6)=0, Add (4,6)=39 Failed, w=100\",\"Find(2)=0, Find(5)=5, Add (2,5)=46 Succeeded, w=146\",\"Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=146\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=146\",\"Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=146\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=146\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=146\",\"Find(0)=0, Find(5)=0, Add (0,5)=77 Failed, w=146\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=146\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=146\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,87],[0,3,28],[0,4,80],[0,5,77],[0,6,58],[1,2,52],[1,3,31],[1,4,31],[1,5,90],[1,6,34],[2,3,38],[2,4,9],[2,5,46],[2,6,1],[4,5,46],[4,6,39],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(2,4)=9,(0,3)=28,(1,3)=31,(1,4)=31,(1,6)=34,(2,3)=38,(4,6)=39,(2,5)=46,(4,5)=46,(1,2)=52,(0,6)=58,(5,6)=65,(0,1)=75,(0,5)=77,(0,4)=80,(0,2)=87,(1,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2}, Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 2}, Find(1)=0, Find(4)=2, Add (1,4)=31 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=34 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=39 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=46 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=77 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,24],[0,3,35],[0,5,36],[0,6,38],[1,5,17],[1,6,82],[2,5,39],[2,6,38],[3,4,82],[3,5,65],[3,6,82],[4,5,100],[5,6,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,3,35],[0,5,36],[0,6,38],[1,5,17],[1,6,82],[2,5,39],[2,6,38],[3,4,82],[3,5,65],[3,6,82],[4,5,100],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,3,35],[0,5,36],[0,6,38],[1,5,17],[1,6,82],[2,5,39],[2,6,38],[3,4,82],[3,5,65],[3,6,82],[4,5,100],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (0,6)\",\"Add (3,4)\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,3,35],[0,5,36],[0,6,38],[1,5,17],[1,6,82],[2,5,39],[2,6,38],[3,4,82],[3,5,65],[3,6,82],[4,5,100],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=17, w=17\",\"Add (0,2)=24, w=41\",\"Add (0,3)=35, w=76\",\"Add (0,5)=36, w=112\",\"Add (0,6)=38, w=150\",\"Add (3,4)=82, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,3,35],[0,5,36],[0,6,38],[1,5,17],[1,6,82],[2,5,39],[2,6,38],[3,4,82],[3,5,65],[3,6,82],[4,5,100],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=17 Succeeded, w=17\",\"Add (0,2)=24 Succeeded, w=41\",\"Add (0,3)=35 Succeeded, w=76\",\"Add (0,5)=36 Succeeded, w=112\",\"Add (0,6)=38 Succeeded, w=150\",\"Add (2,6)=38 Failed, w=150\",\"Add (2,5)=39 Failed, w=150\",\"Add (5,6)=54 Failed, w=150\",\"Add (3,5)=65 Failed, w=150\",\"Add (1,6)=82 Failed, w=150\",\"Add (3,4)=82 Succeeded, w=232\",\"Add (3,6)=82 Failed, w=232\",\"Add (4,5)=100 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,3,35],[0,5,36],[0,6,38],[1,5,17],[1,6,82],[2,5,39],[2,6,38],[3,4,82],[3,5,65],[3,6,82],[4,5,100],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=17,(0,2)=24,(0,3)=35,(0,5)=36,(0,6)=38,(2,6)=38,(2,5)=39,(5,6)=54,(3,5)=65,(1,6)=82,(3,4)=82,(3,6)=82,(4,5)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=41\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=76\",\"Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=112\",\"Find(0)=0, Find(6)=6, Add (0,6)=38 Succeeded, w=150\",\"Find(2)=0, Find(6)=0, Add (2,6)=38 Failed, w=150\",\"Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=150\",\"Find(5)=0, Find(6)=0, Add (5,6)=54 Failed, w=150\",\"Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=150\",\"Find(1)=0, Find(6)=0, Add (1,6)=82 Failed, w=150\",\"Find(3)=0, Find(4)=4, Add (3,4)=82 Succeeded, w=232\",\"Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=232\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,3,35],[0,5,36],[0,6,38],[1,5,17],[1,6,82],[2,5,39],[2,6,38],[3,4,82],[3,5,65],[3,6,82],[4,5,100],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=17,(0,2)=24,(0,3)=35,(0,5)=36,(0,6)=38,(2,6)=38,(2,5)=39,(5,6)=54,(3,5)=65,(1,6)=82,(3,4)=82,(3,6)=82,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=38 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 1, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=38 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=54 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=82 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=4, Add (3,4)=82 Succeeded, w=232\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=232\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,86],[0,2,86],[0,3,64],[0,4,61],[0,5,84],[0,6,57],[1,2,50],[1,3,11],[1,4,37],[1,5,0],[1,6,84],[2,3,23],[2,4,21],[2,5,67],[2,6,52],[3,4,50],[3,5,69],[3,6,40],[4,5,22],[4,6,54],[5,6,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,86],[0,3,64],[0,4,61],[0,5,84],[0,6,57],[1,2,50],[1,3,11],[1,4,37],[1,5,0],[1,6,84],[2,3,23],[2,4,21],[2,5,67],[2,6,52],[3,4,50],[3,5,69],[3,6,40],[4,5,22],[4,6,54],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,86],[0,3,64],[0,4,61],[0,5,84],[0,6,57],[1,2,50],[1,3,11],[1,4,37],[1,5,0],[1,6,84],[2,3,23],[2,4,21],[2,5,67],[2,6,52],[3,4,50],[3,5,69],[3,6,40],[4,5,22],[4,6,54],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (0,6)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,86],[0,3,64],[0,4,61],[0,5,84],[0,6,57],[1,2,50],[1,3,11],[1,4,37],[1,5,0],[1,6,84],[2,3,23],[2,4,21],[2,5,67],[2,6,52],[3,4,50],[3,5,69],[3,6,40],[4,5,22],[4,6,54],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (1,3)=11, w=11\",\"Add (2,4)=21, w=32\",\"Add (4,5)=22, w=54\",\"Add (5,6)=24, w=78\",\"Add (0,6)=57, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,86],[0,3,64],[0,4,61],[0,5,84],[0,6,57],[1,2,50],[1,3,11],[1,4,37],[1,5,0],[1,6,84],[2,3,23],[2,4,21],[2,5,67],[2,6,52],[3,4,50],[3,5,69],[3,6,40],[4,5,22],[4,6,54],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (1,3)=11 Succeeded, w=11\",\"Add (2,4)=21 Succeeded, w=32\",\"Add (4,5)=22 Succeeded, w=54\",\"Add (2,3)=23 Failed, w=54\",\"Add (5,6)=24 Succeeded, w=78\",\"Add (1,4)=37 Failed, w=78\",\"Add (3,6)=40 Failed, w=78\",\"Add (1,2)=50 Failed, w=78\",\"Add (3,4)=50 Failed, w=78\",\"Add (2,6)=52 Failed, w=78\",\"Add (4,6)=54 Failed, w=78\",\"Add (0,6)=57 Succeeded, w=135\",\"Add (0,4)=61 Failed, w=135\",\"Add (0,3)=64 Failed, w=135\",\"Add (2,5)=67 Failed, w=135\",\"Add (3,5)=69 Failed, w=135\",\"Add (0,5)=84 Failed, w=135\",\"Add (1,6)=84 Failed, w=135\",\"Add (0,1)=86 Failed, w=135\",\"Add (0,2)=86 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,86],[0,3,64],[0,4,61],[0,5,84],[0,6,57],[1,2,50],[1,3,11],[1,4,37],[1,5,0],[1,6,84],[2,3,23],[2,4,21],[2,5,67],[2,6,52],[3,4,50],[3,5,69],[3,6,40],[4,5,22],[4,6,54],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(1,3)=11,(2,4)=21,(4,5)=22,(2,3)=23,(5,6)=24,(1,4)=37,(3,6)=40,(1,2)=50,(3,4)=50,(2,6)=52,(4,6)=54,(0,6)=57,(0,4)=61,(0,3)=64,(2,5)=67,(3,5)=69,(0,5)=84,(1,6)=84,(0,1)=86,(0,2)=86]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=32\",\"Find(4)=2, Find(5)=1, Add (4,5)=22 Succeeded, w=54\",\"Find(2)=2, Find(3)=2, Add (2,3)=23 Failed, w=54\",\"Find(5)=2, Find(6)=6, Add (5,6)=24 Succeeded, w=78\",\"Find(1)=2, Find(4)=2, Add (1,4)=37 Failed, w=78\",\"Find(3)=2, Find(6)=2, Add (3,6)=40 Failed, w=78\",\"Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=78\",\"Find(3)=2, Find(4)=2, Add (3,4)=50 Failed, w=78\",\"Find(2)=2, Find(6)=2, Add (2,6)=52 Failed, w=78\",\"Find(4)=2, Find(6)=2, Add (4,6)=54 Failed, w=78\",\"Find(0)=0, Find(6)=2, Add (0,6)=57 Succeeded, w=135\",\"Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=135\",\"Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=135\",\"Find(2)=2, Find(5)=2, Add (2,5)=67 Failed, w=135\",\"Find(3)=2, Find(5)=2, Add (3,5)=69 Failed, w=135\",\"Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=135\",\"Find(1)=2, Find(6)=2, Add (1,6)=84 Failed, w=135\",\"Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=135\",\"Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,86],[0,3,64],[0,4,61],[0,5,84],[0,6,57],[1,2,50],[1,3,11],[1,4,37],[1,5,0],[1,6,84],[2,3,23],[2,4,21],[2,5,67],[2,6,52],[3,4,50],[3,5,69],[3,6,40],[4,5,22],[4,6,54],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(1,3)=11,(2,4)=21,(4,5)=22,(2,3)=23,(5,6)=24,(1,4)=37,(3,6)=40,(1,2)=50,(3,4)=50,(2,6)=52,(4,6)=54,(0,6)=57,(0,4)=61,(0,3)=64,(2,5)=67,(3,5)=69,(0,5)=84,(1,6)=84,(0,1)=86,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6}, Find(4)=2, Find(5)=1, Add (4,5)=22 Succeeded, w=54\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6}, Find(2)=2, Find(3)=2, Add (2,3)=23 Failed, w=54\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=24 Succeeded, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=37 Failed, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=40 Failed, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=50 Failed, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=52 Failed, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=54 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=57 Succeeded, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=67 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=69 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=84 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
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