graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,12],[0,2,74],[0,3,85],[0,4,41],[0,5,2],[0,6,100],[1,2,90],[1,3,6],[1,4,6],[1,5,72],[1,6,23],[2,3,15],[2,4,48],[2,5,68],[2,6,94],[3,4,93],[3,5,7],[3,6,31],[4,5,42],[4,6,40],[5,6,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,74],[0,3,85],[0,4,41],[0,5,2],[0,6,100],[1,2,90],[1,3,6],[1,4,6],[1,5,72],[1,6,23],[2,3,15],[2,4,48],[2,5,68],[2,6,94],[3,4,93],[3,5,7],[3,6,31],[4,5,42],[4,6,40],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,74],[0,3,85],[0,4,41],[0,5,2],[0,6,100],[1,2,90],[1,3,6],[1,4,6],[1,5,72],[1,6,23],[2,3,15],[2,4,48],[2,5,68],[2,6,94],[3,4,93],[3,5,7],[3,6,31],[4,5,42],[4,6,40],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (1,6)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,74],[0,3,85],[0,4,41],[0,5,2],[0,6,100],[1,2,90],[1,3,6],[1,4,6],[1,5,72],[1,6,23],[2,3,15],[2,4,48],[2,5,68],[2,6,94],[3,4,93],[3,5,7],[3,6,31],[4,5,42],[4,6,40],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (1,3)=6, w=8\",\"Add (1,4)=6, w=14\",\"Add (3,5)=7, w=21\",\"Add (2,3)=15, w=36\",\"Add (1,6)=23, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,74],[0,3,85],[0,4,41],[0,5,2],[0,6,100],[1,2,90],[1,3,6],[1,4,6],[1,5,72],[1,6,23],[2,3,15],[2,4,48],[2,5,68],[2,6,94],[3,4,93],[3,5,7],[3,6,31],[4,5,42],[4,6,40],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (1,3)=6 Succeeded, w=8\",\"Add (1,4)=6 Succeeded, w=14\",\"Add (3,5)=7 Succeeded, w=21\",\"Add (0,1)=12 Failed, w=21\",\"Add (2,3)=15 Succeeded, w=36\",\"Add (1,6)=23 Succeeded, w=59\",\"Add (5,6)=30 Failed, w=59\",\"Add (3,6)=31 Failed, w=59\",\"Add (4,6)=40 Failed, w=59\",\"Add (0,4)=41 Failed, w=59\",\"Add (4,5)=42 Failed, w=59\",\"Add (2,4)=48 Failed, w=59\",\"Add (2,5)=68 Failed, w=59\",\"Add (1,5)=72 Failed, w=59\",\"Add (0,2)=74 Failed, w=59\",\"Add (0,3)=85 Failed, w=59\",\"Add (1,2)=90 Failed, w=59\",\"Add (3,4)=93 Failed, w=59\",\"Add (2,6)=94 Failed, w=59\",\"Add (0,6)=100 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,74],[0,3,85],[0,4,41],[0,5,2],[0,6,100],[1,2,90],[1,3,6],[1,4,6],[1,5,72],[1,6,23],[2,3,15],[2,4,48],[2,5,68],[2,6,94],[3,4,93],[3,5,7],[3,6,31],[4,5,42],[4,6,40],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(1,3)=6,(1,4)=6,(3,5)=7,(0,1)=12,(2,3)=15,(1,6)=23,(5,6)=30,(3,6)=31,(4,6)=40,(0,4)=41,(4,5)=42,(2,4)=48,(2,5)=68,(1,5)=72,(0,2)=74,(0,3)=85,(1,2)=90,(3,4)=93,(2,6)=94,(0,6)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=8\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=14\",\"Find(3)=1, Find(5)=0, Add (3,5)=7 Succeeded, w=21\",\"Find(0)=1, Find(1)=1, Add (0,1)=12 Failed, w=21\",\"Find(2)=2, Find(3)=1, Add (2,3)=15 Succeeded, w=36\",\"Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=59\",\"Find(5)=1, Find(6)=1, Add (5,6)=30 Failed, w=59\",\"Find(3)=1, Find(6)=1, Add (3,6)=31 Failed, w=59\",\"Find(4)=1, Find(6)=1, Add (4,6)=40 Failed, w=59\",\"Find(0)=1, Find(4)=1, Add (0,4)=41 Failed, w=59\",\"Find(4)=1, Find(5)=1, Add (4,5)=42 Failed, w=59\",\"Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=59\",\"Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=59\",\"Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=59\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=59\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=59\",\"Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=59\",\"Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=59\",\"Find(2)=1, Find(6)=1, Add (2,6)=94 Failed, w=59\",\"Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,74],[0,3,85],[0,4,41],[0,5,2],[0,6,100],[1,2,90],[1,3,6],[1,4,6],[1,5,72],[1,6,23],[2,3,15],[2,4,48],[2,5,68],[2,6,94],[3,4,93],[3,5,7],[3,6,31],[4,5,42],[4,6,40],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(1,3)=6,(1,4)=6,(3,5)=7,(0,1)=12,(2,3)=15,(1,6)=23,(5,6)=30,(3,6)=31,(4,6)=40,(0,4)=41,(4,5)=42,(2,4)=48,(2,5)=68,(1,5)=72,(0,2)=74,(0,3)=85,(1,2)=90,(3,4)=93,(2,6)=94,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 6}, Find(3)=1, Find(5)=0, Add (3,5)=7 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 6}, Find(0)=1, Find(1)=1, Add (0,1)=12 Failed, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 6}, Find(2)=2, Find(3)=1, Add (2,3)=15 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=30 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=31 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=40 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=41 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=42 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=94 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,46],[0,2,4],[0,3,100],[0,6,39],[1,2,7],[1,3,50],[1,4,6],[1,5,41],[1,6,22],[2,4,67],[2,5,64],[3,6,77],[5,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,4],[0,3,100],[0,6,39],[1,2,7],[1,3,50],[1,4,6],[1,5,41],[1,6,22],[2,4,67],[2,5,64],[3,6,77],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"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],[0,2,4],[0,3,100],[0,6,39],[1,2,7],[1,3,50],[1,4,6],[1,5,41],[1,6,22],[2,4,67],[2,5,64],[3,6,77],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (1,3)\"],\"Answer\":130}",
"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],[0,2,4],[0,3,100],[0,6,39],[1,2,7],[1,3,50],[1,4,6],[1,5,41],[1,6,22],[2,4,67],[2,5,64],[3,6,77],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (1,4)=6, w=10\",\"Add (1,2)=7, w=17\",\"Add (1,6)=22, w=39\",\"Add (1,5)=41, w=80\",\"Add (1,3)=50, w=130\"],\"Answer\":130}",
"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],[0,2,4],[0,3,100],[0,6,39],[1,2,7],[1,3,50],[1,4,6],[1,5,41],[1,6,22],[2,4,67],[2,5,64],[3,6,77],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (1,4)=6 Succeeded, w=10\",\"Add (1,2)=7 Succeeded, w=17\",\"Add (1,6)=22 Succeeded, w=39\",\"Add (0,6)=39 Failed, w=39\",\"Add (1,5)=41 Succeeded, w=80\",\"Add (0,1)=46 Failed, w=80\",\"Add (1,3)=50 Succeeded, w=130\",\"Add (2,5)=64 Failed, w=130\",\"Add (2,4)=67 Failed, w=130\",\"Add (3,6)=77 Failed, w=130\",\"Add (5,6)=99 Failed, w=130\",\"Add (0,3)=100 Failed, w=130\"],\"Answer\":130}",
"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],[0,2,4],[0,3,100],[0,6,39],[1,2,7],[1,3,50],[1,4,6],[1,5,41],[1,6,22],[2,4,67],[2,5,64],[3,6,77],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,4)=6,(1,2)=7,(1,6)=22,(0,6)=39,(1,5)=41,(0,1)=46,(1,3)=50,(2,5)=64,(2,4)=67,(3,6)=77,(5,6)=99,(0,3)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=10\",\"Find(1)=1, Find(2)=0, Add (1,2)=7 Succeeded, w=17\",\"Find(1)=1, Find(6)=6, Add (1,6)=22 Succeeded, w=39\",\"Find(0)=1, Find(6)=1, Add (0,6)=39 Failed, w=39\",\"Find(1)=1, Find(5)=5, Add (1,5)=41 Succeeded, w=80\",\"Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=80\",\"Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=130\",\"Find(2)=1, Find(5)=1, Add (2,5)=64 Failed, w=130\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=130\",\"Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=130\",\"Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=130\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=130\"],\"Answer\":130}",
"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],[0,2,4],[0,3,100],[0,6,39],[1,2,7],[1,3,50],[1,4,6],[1,5,41],[1,6,22],[2,4,67],[2,5,64],[3,6,77],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,4)=6,(1,2)=7,(1,6)=22,(0,6)=39,(1,5)=41,(0,1)=46,(1,3)=50,(2,5)=64,(2,4)=67,(3,6)=77,(5,6)=99,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=7 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=22 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=39 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=41 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=64 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,36],[0,2,60],[0,3,52],[0,4,35],[0,5,7],[0,6,17],[0,7,23],[1,2,52],[1,3,81],[1,4,51],[1,5,92],[1,6,81],[1,7,73],[2,3,53],[2,4,8],[2,5,27],[2,6,72],[2,7,66],[3,4,79],[3,5,19],[3,6,0],[3,7,20],[4,5,60],[4,6,84],[4,7,57],[5,6,98],[5,7,10],[6,7,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,60],[0,3,52],[0,4,35],[0,5,7],[0,6,17],[0,7,23],[1,2,52],[1,3,81],[1,4,51],[1,5,92],[1,6,81],[1,7,73],[2,3,53],[2,4,8],[2,5,27],[2,6,72],[2,7,66],[3,4,79],[3,5,19],[3,6,0],[3,7,20],[4,5,60],[4,6,84],[4,7,57],[5,6,98],[5,7,10],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,60],[0,3,52],[0,4,35],[0,5,7],[0,6,17],[0,7,23],[1,2,52],[1,3,81],[1,4,51],[1,5,92],[1,6,81],[1,7,73],[2,3,53],[2,4,8],[2,5,27],[2,6,72],[2,7,66],[3,4,79],[3,5,19],[3,6,0],[3,7,20],[4,5,60],[4,6,84],[4,7,57],[5,6,98],[5,7,10],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (5,7)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,60],[0,3,52],[0,4,35],[0,5,7],[0,6,17],[0,7,23],[1,2,52],[1,3,81],[1,4,51],[1,5,92],[1,6,81],[1,7,73],[2,3,53],[2,4,8],[2,5,27],[2,6,72],[2,7,66],[3,4,79],[3,5,19],[3,6,0],[3,7,20],[4,5,60],[4,6,84],[4,7,57],[5,6,98],[5,7,10],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (0,5)=7, w=7\",\"Add (2,4)=8, w=15\",\"Add (5,7)=10, w=25\",\"Add (0,6)=17, w=42\",\"Add (2,5)=27, w=69\",\"Add (0,1)=36, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,60],[0,3,52],[0,4,35],[0,5,7],[0,6,17],[0,7,23],[1,2,52],[1,3,81],[1,4,51],[1,5,92],[1,6,81],[1,7,73],[2,3,53],[2,4,8],[2,5,27],[2,6,72],[2,7,66],[3,4,79],[3,5,19],[3,6,0],[3,7,20],[4,5,60],[4,6,84],[4,7,57],[5,6,98],[5,7,10],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (0,5)=7 Succeeded, w=7\",\"Add (2,4)=8 Succeeded, w=15\",\"Add (5,7)=10 Succeeded, w=25\",\"Add (0,6)=17 Succeeded, w=42\",\"Add (3,5)=19 Failed, w=42\",\"Add (3,7)=20 Failed, w=42\",\"Add (0,7)=23 Failed, w=42\",\"Add (2,5)=27 Succeeded, w=69\",\"Add (0,4)=35 Failed, w=69\",\"Add (0,1)=36 Succeeded, w=105\",\"Add (1,4)=51 Failed, w=105\",\"Add (6,7)=51 Failed, w=105\",\"Add (0,3)=52 Failed, w=105\",\"Add (1,2)=52 Failed, w=105\",\"Add (2,3)=53 Failed, w=105\",\"Add (4,7)=57 Failed, w=105\",\"Add (0,2)=60 Failed, w=105\",\"Add (4,5)=60 Failed, w=105\",\"Add (2,7)=66 Failed, w=105\",\"Add (2,6)=72 Failed, w=105\",\"Add (1,7)=73 Failed, w=105\",\"Add (3,4)=79 Failed, w=105\",\"Add (1,3)=81 Failed, w=105\",\"Add (1,6)=81 Failed, w=105\",\"Add (4,6)=84 Failed, w=105\",\"Add (1,5)=92 Failed, w=105\",\"Add (5,6)=98 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,60],[0,3,52],[0,4,35],[0,5,7],[0,6,17],[0,7,23],[1,2,52],[1,3,81],[1,4,51],[1,5,92],[1,6,81],[1,7,73],[2,3,53],[2,4,8],[2,5,27],[2,6,72],[2,7,66],[3,4,79],[3,5,19],[3,6,0],[3,7,20],[4,5,60],[4,6,84],[4,7,57],[5,6,98],[5,7,10],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,5)=7,(2,4)=8,(5,7)=10,(0,6)=17,(3,5)=19,(3,7)=20,(0,7)=23,(2,5)=27,(0,4)=35,(0,1)=36,(1,4)=51,(6,7)=51,(0,3)=52,(1,2)=52,(2,3)=53,(4,7)=57,(0,2)=60,(4,5)=60,(2,7)=66,(2,6)=72,(1,7)=73,(3,4)=79,(1,3)=81,(1,6)=81,(4,6)=84,(1,5)=92,(5,6)=98]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=15\",\"Find(5)=0, Find(7)=7, Add (5,7)=10 Succeeded, w=25\",\"Find(0)=0, Find(6)=3, Add (0,6)=17 Succeeded, w=42\",\"Find(3)=0, Find(5)=0, Add (3,5)=19 Failed, w=42\",\"Find(3)=0, Find(7)=0, Add (3,7)=20 Failed, w=42\",\"Find(0)=0, Find(7)=0, Add (0,7)=23 Failed, w=42\",\"Find(2)=2, Find(5)=0, Add (2,5)=27 Succeeded, w=69\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=69\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=105\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=105\",\"Find(6)=0, Find(7)=0, Add (6,7)=51 Failed, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=105\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=105\",\"Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=105\",\"Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=105\",\"Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=105\",\"Find(2)=0, Find(7)=0, Add (2,7)=66 Failed, w=105\",\"Find(2)=0, Find(6)=0, Add (2,6)=72 Failed, w=105\",\"Find(1)=0, Find(7)=0, Add (1,7)=73 Failed, w=105\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=105\",\"Find(1)=0, Find(6)=0, Add (1,6)=81 Failed, w=105\",\"Find(4)=0, Find(6)=0, Add (4,6)=84 Failed, w=105\",\"Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=105\",\"Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,60],[0,3,52],[0,4,35],[0,5,7],[0,6,17],[0,7,23],[1,2,52],[1,3,81],[1,4,51],[1,5,92],[1,6,81],[1,7,73],[2,3,53],[2,4,8],[2,5,27],[2,6,72],[2,7,66],[3,4,79],[3,5,19],[3,6,0],[3,7,20],[4,5,60],[4,6,84],[4,7,57],[5,6,98],[5,7,10],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,5)=7,(2,4)=8,(5,7)=10,(0,6)=17,(3,5)=19,(3,7)=20,(0,7)=23,(2,5)=27,(0,4)=35,(0,1)=36,(1,4)=51,(6,7)=51,(0,3)=52,(1,2)=52,(2,3)=53,(4,7)=57,(0,2)=60,(4,5)=60,(2,7)=66,(2,6)=72,(1,7)=73,(3,4)=79,(1,3)=81,(1,6)=81,(4,6)=84,(1,5)=92,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 3, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 3, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(6)=3, Add (0,6)=17 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 3, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=19 Failed, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 3, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=20 Failed, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=23 Failed, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 0, 6: 3, 7: 0}, Find(2)=2, Find(5)=0, Add (2,5)=27 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=105\",\"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)=51 Failed, w=105\",\"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)=52 Failed, w=105\",\"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)=52 Failed, w=105\",\"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)=53 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=105\",\"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)=60 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=66 Failed, w=105\",\"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)=72 Failed, w=105\",\"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)=73 Failed, w=105\",\"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)=79 Failed, w=105\",\"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)=81 Failed, w=105\",\"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)=81 Failed, w=105\",\"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)=84 Failed, w=105\",\"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)=92 Failed, w=105\",\"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)=98 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,2,57],[1,2,13],[1,3,95],[2,3,67],[2,4,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[1,2,13],[1,3,95],[2,3,67],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[1,2,13],[1,3,95],[2,3,67],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[1,2,13],[1,3,95],[2,3,67],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (2,4)=35, w=48\",\"Add (0,2)=57, w=105\",\"Add (2,3)=67, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[1,2,13],[1,3,95],[2,3,67],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (2,4)=35 Succeeded, w=48\",\"Add (0,2)=57 Succeeded, w=105\",\"Add (0,1)=65 Failed, w=105\",\"Add (2,3)=67 Succeeded, w=172\",\"Add (1,3)=95 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[1,2,13],[1,3,95],[2,3,67],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(2,4)=35,(0,2)=57,(0,1)=65,(2,3)=67,(1,3)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(2)=1, Find(4)=4, Add (2,4)=35 Succeeded, w=48\",\"Find(0)=0, Find(2)=1, Add (0,2)=57 Succeeded, w=105\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=105\",\"Find(2)=1, Find(3)=3, Add (2,3)=67 Succeeded, w=172\",\"Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[1,2,13],[1,3,95],[2,3,67],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(2,4)=35,(0,2)=57,(0,1)=65,(2,3)=67,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=35 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=57 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=67 Succeeded, w=172\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,54],[0,2,27],[0,3,4],[0,5,61],[0,6,94],[1,2,48],[1,4,65],[1,6,63],[2,4,5],[2,5,19],[2,6,18],[3,4,95],[3,5,80],[4,5,72],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,27],[0,3,4],[0,5,61],[0,6,94],[1,2,48],[1,4,65],[1,6,63],[2,4,5],[2,5,19],[2,6,18],[3,4,95],[3,5,80],[4,5,72],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,27],[0,3,4],[0,5,61],[0,6,94],[1,2,48],[1,4,65],[1,6,63],[2,4,5],[2,5,19],[2,6,18],[3,4,95],[3,5,80],[4,5,72],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,27],[0,3,4],[0,5,61],[0,6,94],[1,2,48],[1,4,65],[1,6,63],[2,4,5],[2,5,19],[2,6,18],[3,4,95],[3,5,80],[4,5,72],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (2,4)=5, w=9\",\"Add (2,6)=18, w=27\",\"Add (2,5)=19, w=46\",\"Add (0,2)=27, w=73\",\"Add (1,2)=48, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,27],[0,3,4],[0,5,61],[0,6,94],[1,2,48],[1,4,65],[1,6,63],[2,4,5],[2,5,19],[2,6,18],[3,4,95],[3,5,80],[4,5,72],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (2,4)=5 Succeeded, w=9\",\"Add (2,6)=18 Succeeded, w=27\",\"Add (2,5)=19 Succeeded, w=46\",\"Add (0,2)=27 Succeeded, w=73\",\"Add (5,6)=41 Failed, w=73\",\"Add (1,2)=48 Succeeded, w=121\",\"Add (0,1)=54 Failed, w=121\",\"Add (0,5)=61 Failed, w=121\",\"Add (1,6)=63 Failed, w=121\",\"Add (1,4)=65 Failed, w=121\",\"Add (4,5)=72 Failed, w=121\",\"Add (3,5)=80 Failed, w=121\",\"Add (0,6)=94 Failed, w=121\",\"Add (3,4)=95 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,27],[0,3,4],[0,5,61],[0,6,94],[1,2,48],[1,4,65],[1,6,63],[2,4,5],[2,5,19],[2,6,18],[3,4,95],[3,5,80],[4,5,72],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(2,4)=5,(2,6)=18,(2,5)=19,(0,2)=27,(5,6)=41,(1,2)=48,(0,1)=54,(0,5)=61,(1,6)=63,(1,4)=65,(4,5)=72,(3,5)=80,(0,6)=94,(3,4)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=9\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=27\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=46\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=73\",\"Find(5)=0, Find(6)=0, Add (5,6)=41 Failed, w=73\",\"Find(1)=1, Find(2)=0, Add (1,2)=48 Succeeded, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=54 Failed, w=121\",\"Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=121\",\"Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=121\",\"Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=121\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=121\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=121\",\"Find(0)=0, Find(6)=0, Add (0,6)=94 Failed, w=121\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,27],[0,3,4],[0,5,61],[0,6,94],[1,2,48],[1,4,65],[1,6,63],[2,4,5],[2,5,19],[2,6,18],[3,4,95],[3,5,80],[4,5,72],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(2,4)=5,(2,6)=18,(2,5)=19,(0,2)=27,(5,6)=41,(1,2)=48,(0,1)=54,(0,5)=61,(1,6)=63,(1,4)=65,(4,5)=72,(3,5)=80,(0,6)=94,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=41 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=48 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=54 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=94 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,0],[0,2,55],[0,3,55],[0,4,36],[0,5,38],[0,6,38],[0,7,97],[1,2,96],[1,3,39],[1,4,78],[1,5,87],[1,6,84],[1,7,91],[2,3,13],[2,4,37],[2,5,97],[2,6,57],[2,7,0],[3,4,6],[3,5,18],[3,6,74],[3,7,42],[4,5,60],[4,6,96],[4,7,7],[5,6,94],[5,7,59],[6,7,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,55],[0,3,55],[0,4,36],[0,5,38],[0,6,38],[0,7,97],[1,2,96],[1,3,39],[1,4,78],[1,5,87],[1,6,84],[1,7,91],[2,3,13],[2,4,37],[2,5,97],[2,6,57],[2,7,0],[3,4,6],[3,5,18],[3,6,74],[3,7,42],[4,5,60],[4,6,96],[4,7,7],[5,6,94],[5,7,59],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,55],[0,3,55],[0,4,36],[0,5,38],[0,6,38],[0,7,97],[1,2,96],[1,3,39],[1,4,78],[1,5,87],[1,6,84],[1,7,91],[2,3,13],[2,4,37],[2,5,97],[2,6,57],[2,7,0],[3,4,6],[3,5,18],[3,6,74],[3,7,42],[4,5,60],[4,6,96],[4,7,7],[5,6,94],[5,7,59],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,7)\",\"Add (3,4)\",\"Add (4,7)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (0,6)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,55],[0,3,55],[0,4,36],[0,5,38],[0,6,38],[0,7,97],[1,2,96],[1,3,39],[1,4,78],[1,5,87],[1,6,84],[1,7,91],[2,3,13],[2,4,37],[2,5,97],[2,6,57],[2,7,0],[3,4,6],[3,5,18],[3,6,74],[3,7,42],[4,5,60],[4,6,96],[4,7,7],[5,6,94],[5,7,59],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (2,7)=0, w=0\",\"Add (3,4)=6, w=6\",\"Add (4,7)=7, w=13\",\"Add (3,5)=18, w=31\",\"Add (0,4)=36, w=67\",\"Add (0,6)=38, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,55],[0,3,55],[0,4,36],[0,5,38],[0,6,38],[0,7,97],[1,2,96],[1,3,39],[1,4,78],[1,5,87],[1,6,84],[1,7,91],[2,3,13],[2,4,37],[2,5,97],[2,6,57],[2,7,0],[3,4,6],[3,5,18],[3,6,74],[3,7,42],[4,5,60],[4,6,96],[4,7,7],[5,6,94],[5,7,59],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (2,7)=0 Succeeded, w=0\",\"Add (3,4)=6 Succeeded, w=6\",\"Add (4,7)=7 Succeeded, w=13\",\"Add (2,3)=13 Failed, w=13\",\"Add (3,5)=18 Succeeded, w=31\",\"Add (0,4)=36 Succeeded, w=67\",\"Add (2,4)=37 Failed, w=67\",\"Add (0,5)=38 Failed, w=67\",\"Add (0,6)=38 Succeeded, w=105\",\"Add (1,3)=39 Failed, w=105\",\"Add (3,7)=42 Failed, w=105\",\"Add (0,2)=55 Failed, w=105\",\"Add (0,3)=55 Failed, w=105\",\"Add (2,6)=57 Failed, w=105\",\"Add (5,7)=59 Failed, w=105\",\"Add (4,5)=60 Failed, w=105\",\"Add (6,7)=61 Failed, w=105\",\"Add (3,6)=74 Failed, w=105\",\"Add (1,4)=78 Failed, w=105\",\"Add (1,6)=84 Failed, w=105\",\"Add (1,5)=87 Failed, w=105\",\"Add (1,7)=91 Failed, w=105\",\"Add (5,6)=94 Failed, w=105\",\"Add (1,2)=96 Failed, w=105\",\"Add (4,6)=96 Failed, w=105\",\"Add (0,7)=97 Failed, w=105\",\"Add (2,5)=97 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,55],[0,3,55],[0,4,36],[0,5,38],[0,6,38],[0,7,97],[1,2,96],[1,3,39],[1,4,78],[1,5,87],[1,6,84],[1,7,91],[2,3,13],[2,4,37],[2,5,97],[2,6,57],[2,7,0],[3,4,6],[3,5,18],[3,6,74],[3,7,42],[4,5,60],[4,6,96],[4,7,7],[5,6,94],[5,7,59],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,7)=0,(3,4)=6,(4,7)=7,(2,3)=13,(3,5)=18,(0,4)=36,(2,4)=37,(0,5)=38,(0,6)=38,(1,3)=39,(3,7)=42,(0,2)=55,(0,3)=55,(2,6)=57,(5,7)=59,(4,5)=60,(6,7)=61,(3,6)=74,(1,4)=78,(1,6)=84,(1,5)=87,(1,7)=91,(5,6)=94,(1,2)=96,(4,6)=96,(0,7)=97,(2,5)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(4)=3, Find(7)=2, Add (4,7)=7 Succeeded, w=13\",\"Find(2)=3, Find(3)=3, Add (2,3)=13 Failed, w=13\",\"Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=31\",\"Find(0)=0, Find(4)=3, Add (0,4)=36 Succeeded, w=67\",\"Find(2)=3, Find(4)=3, Add (2,4)=37 Failed, w=67\",\"Find(0)=3, Find(5)=3, Add (0,5)=38 Failed, w=67\",\"Find(0)=3, Find(6)=6, Add (0,6)=38 Succeeded, w=105\",\"Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=105\",\"Find(3)=3, Find(7)=3, Add (3,7)=42 Failed, w=105\",\"Find(0)=3, Find(2)=3, Add (0,2)=55 Failed, w=105\",\"Find(0)=3, Find(3)=3, Add (0,3)=55 Failed, w=105\",\"Find(2)=3, Find(6)=3, Add (2,6)=57 Failed, w=105\",\"Find(5)=3, Find(7)=3, Add (5,7)=59 Failed, w=105\",\"Find(4)=3, Find(5)=3, Add (4,5)=60 Failed, w=105\",\"Find(6)=3, Find(7)=3, Add (6,7)=61 Failed, w=105\",\"Find(3)=3, Find(6)=3, Add (3,6)=74 Failed, w=105\",\"Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=105\",\"Find(1)=3, Find(6)=3, Add (1,6)=84 Failed, w=105\",\"Find(1)=3, Find(5)=3, Add (1,5)=87 Failed, w=105\",\"Find(1)=3, Find(7)=3, Add (1,7)=91 Failed, w=105\",\"Find(5)=3, Find(6)=3, Add (5,6)=94 Failed, w=105\",\"Find(1)=3, Find(2)=3, Add (1,2)=96 Failed, w=105\",\"Find(4)=3, Find(6)=3, Add (4,6)=96 Failed, w=105\",\"Find(0)=3, Find(7)=3, Add (0,7)=97 Failed, w=105\",\"Find(2)=3, Find(5)=3, Add (2,5)=97 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,55],[0,3,55],[0,4,36],[0,5,38],[0,6,38],[0,7,97],[1,2,96],[1,3,39],[1,4,78],[1,5,87],[1,6,84],[1,7,91],[2,3,13],[2,4,37],[2,5,97],[2,6,57],[2,7,0],[3,4,6],[3,5,18],[3,6,74],[3,7,42],[4,5,60],[4,6,96],[4,7,7],[5,6,94],[5,7,59],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,7)=0,(3,4)=6,(4,7)=7,(2,3)=13,(3,5)=18,(0,4)=36,(2,4)=37,(0,5)=38,(0,6)=38,(1,3)=39,(3,7)=42,(0,2)=55,(0,3)=55,(2,6)=57,(5,7)=59,(4,5)=60,(6,7)=61,(3,6)=74,(1,4)=78,(1,6)=84,(1,5)=87,(1,7)=91,(5,6)=94,(1,2)=96,(4,6)=96,(0,7)=97,(2,5)=97]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(4)=3, Find(7)=2, Add (4,7)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(2)=3, Find(3)=3, Add (2,3)=13 Failed, w=13\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=31\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(0)=0, Find(4)=3, Add (0,4)=36 Succeeded, w=67\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(2)=3, Find(4)=3, Add (2,4)=37 Failed, w=67\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(0)=3, Find(5)=3, Add (0,5)=38 Failed, w=67\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(0)=3, Find(6)=6, Add (0,6)=38 Succeeded, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=105\",\"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)=42 Failed, w=105\",\"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)=55 Failed, w=105\",\"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)=55 Failed, w=105\",\"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)=57 Failed, w=105\",\"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)=59 Failed, w=105\",\"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)=60 Failed, w=105\",\"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)=61 Failed, w=105\",\"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)=74 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=105\",\"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)=84 Failed, w=105\",\"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)=87 Failed, w=105\",\"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)=91 Failed, w=105\",\"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)=94 Failed, w=105\",\"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)=96 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=96 Failed, w=105\",\"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)=97 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=97 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,8],[0,7,44],[1,2,84],[1,3,49],[1,4,27],[2,3,80],[2,4,60],[2,6,20],[3,5,71],[3,6,94],[3,7,80],[6,7,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,7,44],[1,2,84],[1,3,49],[1,4,27],[2,3,80],[2,4,60],[2,6,20],[3,5,71],[3,6,94],[3,7,80],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,7,44],[1,2,84],[1,3,49],[1,4,27],[2,3,80],[2,4,60],[2,6,20],[3,5,71],[3,6,94],[3,7,80],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (3,5)\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,7,44],[1,2,84],[1,3,49],[1,4,27],[2,3,80],[2,4,60],[2,6,20],[3,5,71],[3,6,94],[3,7,80],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=2, w=2\",\"Add (0,2)=8, w=10\",\"Add (2,6)=20, w=30\",\"Add (1,4)=27, w=57\",\"Add (1,3)=49, w=106\",\"Add (2,4)=60, w=166\",\"Add (3,5)=71, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,7,44],[1,2,84],[1,3,49],[1,4,27],[2,3,80],[2,4,60],[2,6,20],[3,5,71],[3,6,94],[3,7,80],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=2 Succeeded, w=2\",\"Add (0,2)=8 Succeeded, w=10\",\"Add (2,6)=20 Succeeded, w=30\",\"Add (1,4)=27 Succeeded, w=57\",\"Add (0,7)=44 Failed, w=57\",\"Add (1,3)=49 Succeeded, w=106\",\"Add (2,4)=60 Succeeded, w=166\",\"Add (3,5)=71 Succeeded, w=237\",\"Add (2,3)=80 Failed, w=237\",\"Add (3,7)=80 Failed, w=237\",\"Add (1,2)=84 Failed, w=237\",\"Add (3,6)=94 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,7,44],[1,2,84],[1,3,49],[1,4,27],[2,3,80],[2,4,60],[2,6,20],[3,5,71],[3,6,94],[3,7,80],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=2,(0,2)=8,(2,6)=20,(1,4)=27,(0,7)=44,(1,3)=49,(2,4)=60,(3,5)=71,(2,3)=80,(3,7)=80,(1,2)=84,(3,6)=94]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=10\",\"Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=30\",\"Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=57\",\"Find(0)=0, Find(7)=0, Add (0,7)=44 Failed, w=57\",\"Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=106\",\"Find(2)=0, Find(4)=1, Add (2,4)=60 Succeeded, w=166\",\"Find(3)=0, Find(5)=5, Add (3,5)=71 Succeeded, w=237\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=237\",\"Find(3)=0, Find(7)=0, Add (3,7)=80 Failed, w=237\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=237\",\"Find(3)=0, Find(6)=0, Add (3,6)=94 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,7,44],[1,2,84],[1,3,49],[1,4,27],[2,3,80],[2,4,60],[2,6,20],[3,5,71],[3,6,94],[3,7,80],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=2,(0,2)=8,(2,6)=20,(1,4)=27,(0,7)=44,(1,3)=49,(2,4)=60,(3,5)=71,(2,3)=80,(3,7)=80,(1,2)=84,(3,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 6}, Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 6}, Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=44 Failed, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 0, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(4)=1, Add (2,4)=60 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=5, Add (3,5)=71 Succeeded, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=80 Failed, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=94 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,92],[1,3,83],[2,3,87],[2,4,81],[3,4,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[1,3,83],[2,3,87],[2,4,81],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[1,3,83],[2,3,87],[2,4,81],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[1,3,83],[2,3,87],[2,4,81],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=77, w=77\",\"Add (2,4)=81, w=158\",\"Add (1,3)=83, w=241\",\"Add (0,3)=92, w=333\"],\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[1,3,83],[2,3,87],[2,4,81],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=77 Succeeded, w=77\",\"Add (2,4)=81 Succeeded, w=158\",\"Add (1,3)=83 Succeeded, w=241\",\"Add (2,3)=87 Failed, w=241\",\"Add (0,3)=92 Succeeded, w=333\"],\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[1,3,83],[2,3,87],[2,4,81],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=77,(2,4)=81,(1,3)=83,(2,3)=87,(0,3)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=77 Succeeded, w=77\",\"Find(2)=2, Find(4)=3, Add (2,4)=81 Succeeded, w=158\",\"Find(1)=1, Find(3)=3, Add (1,3)=83 Succeeded, w=241\",\"Find(2)=3, Find(3)=3, Add (2,3)=87 Failed, w=241\",\"Find(0)=0, Find(3)=3, Add (0,3)=92 Succeeded, w=333\"],\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[1,3,83],[2,3,87],[2,4,81],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=77,(2,4)=81,(1,3)=83,(2,3)=87,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=77 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=81 Succeeded, w=158\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=83 Succeeded, w=241\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=87 Failed, w=241\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=92 Succeeded, w=333\"],\"Answer\":333}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,2,28],[0,3,4],[0,5,95],[0,6,9],[0,7,39],[1,2,22],[1,4,24],[1,5,83],[2,3,41],[2,6,90],[2,7,52],[3,5,99],[3,6,0],[4,5,57],[4,6,64],[5,6,50],[5,7,56],[6,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,28],[0,3,4],[0,5,95],[0,6,9],[0,7,39],[1,2,22],[1,4,24],[1,5,83],[2,3,41],[2,6,90],[2,7,52],[3,5,99],[3,6,0],[4,5,57],[4,6,64],[5,6,50],[5,7,56],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,28],[0,3,4],[0,5,95],[0,6,9],[0,7,39],[1,2,22],[1,4,24],[1,5,83],[2,3,41],[2,6,90],[2,7,52],[3,5,99],[3,6,0],[4,5,57],[4,6,64],[5,6,50],[5,7,56],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,7)\",\"Add (5,6)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,28],[0,3,4],[0,5,95],[0,6,9],[0,7,39],[1,2,22],[1,4,24],[1,5,83],[2,3,41],[2,6,90],[2,7,52],[3,5,99],[3,6,0],[4,5,57],[4,6,64],[5,6,50],[5,7,56],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (0,3)=4, w=4\",\"Add (1,2)=22, w=26\",\"Add (1,4)=24, w=50\",\"Add (0,2)=28, w=78\",\"Add (0,7)=39, w=117\",\"Add (5,6)=50, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,28],[0,3,4],[0,5,95],[0,6,9],[0,7,39],[1,2,22],[1,4,24],[1,5,83],[2,3,41],[2,6,90],[2,7,52],[3,5,99],[3,6,0],[4,5,57],[4,6,64],[5,6,50],[5,7,56],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (0,3)=4 Succeeded, w=4\",\"Add (0,6)=9 Failed, w=4\",\"Add (1,2)=22 Succeeded, w=26\",\"Add (1,4)=24 Succeeded, w=50\",\"Add (0,2)=28 Succeeded, w=78\",\"Add (0,7)=39 Succeeded, w=117\",\"Add (2,3)=41 Failed, w=117\",\"Add (5,6)=50 Succeeded, w=167\",\"Add (2,7)=52 Failed, w=167\",\"Add (6,7)=52 Failed, w=167\",\"Add (5,7)=56 Failed, w=167\",\"Add (4,5)=57 Failed, w=167\",\"Add (4,6)=64 Failed, w=167\",\"Add (0,1)=67 Failed, w=167\",\"Add (1,5)=83 Failed, w=167\",\"Add (2,6)=90 Failed, w=167\",\"Add (0,5)=95 Failed, w=167\",\"Add (3,5)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,28],[0,3,4],[0,5,95],[0,6,9],[0,7,39],[1,2,22],[1,4,24],[1,5,83],[2,3,41],[2,6,90],[2,7,52],[3,5,99],[3,6,0],[4,5,57],[4,6,64],[5,6,50],[5,7,56],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,3)=4,(0,6)=9,(1,2)=22,(1,4)=24,(0,2)=28,(0,7)=39,(2,3)=41,(5,6)=50,(2,7)=52,(6,7)=52,(5,7)=56,(4,5)=57,(4,6)=64,(0,1)=67,(1,5)=83,(2,6)=90,(0,5)=95,(3,5)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(0)=3, Find(6)=3, Add (0,6)=9 Failed, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=26\",\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=50\",\"Find(0)=3, Find(2)=1, Add (0,2)=28 Succeeded, w=78\",\"Find(0)=3, Find(7)=7, Add (0,7)=39 Succeeded, w=117\",\"Find(2)=3, Find(3)=3, Add (2,3)=41 Failed, w=117\",\"Find(5)=5, Find(6)=3, Add (5,6)=50 Succeeded, w=167\",\"Find(2)=3, Find(7)=3, Add (2,7)=52 Failed, w=167\",\"Find(6)=3, Find(7)=3, Add (6,7)=52 Failed, w=167\",\"Find(5)=3, Find(7)=3, Add (5,7)=56 Failed, w=167\",\"Find(4)=3, Find(5)=3, Add (4,5)=57 Failed, w=167\",\"Find(4)=3, Find(6)=3, Add (4,6)=64 Failed, w=167\",\"Find(0)=3, Find(1)=3, Add (0,1)=67 Failed, w=167\",\"Find(1)=3, Find(5)=3, Add (1,5)=83 Failed, w=167\",\"Find(2)=3, Find(6)=3, Add (2,6)=90 Failed, w=167\",\"Find(0)=3, Find(5)=3, Add (0,5)=95 Failed, w=167\",\"Find(3)=3, Find(5)=3, Add (3,5)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,28],[0,3,4],[0,5,95],[0,6,9],[0,7,39],[1,2,22],[1,4,24],[1,5,83],[2,3,41],[2,6,90],[2,7,52],[3,5,99],[3,6,0],[4,5,57],[4,6,64],[5,6,50],[5,7,56],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,3)=4,(0,6)=9,(1,2)=22,(1,4)=24,(0,2)=28,(0,7)=39,(2,3)=41,(5,6)=50,(2,7)=52,(6,7)=52,(5,7)=56,(4,5)=57,(4,6)=64,(0,1)=67,(1,5)=83,(2,6)=90,(0,5)=95,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(0)=3, Find(6)=3, Add (0,6)=9 Failed, w=4\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=26\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=50\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 7}, Find(0)=3, Find(2)=1, Add (0,2)=28 Succeeded, w=78\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(7)=7, Add (0,7)=39 Succeeded, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 5, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=41 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(5)=5, Find(6)=3, Add (5,6)=50 Succeeded, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=52 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=52 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=56 Failed, w=167\",\"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)=57 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=64 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=67 Failed, w=167\",\"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)=83 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=90 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=95 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,86],[0,3,26],[0,4,54],[1,2,52],[1,3,69],[1,4,58],[2,3,66],[2,4,27],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,86],[0,3,26],[0,4,54],[1,2,52],[1,3,69],[1,4,58],[2,3,66],[2,4,27],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,86],[0,3,26],[0,4,54],[1,2,52],[1,3,69],[1,4,58],[2,3,66],[2,4,27],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,86],[0,3,26],[0,4,54],[1,2,52],[1,3,69],[1,4,58],[2,3,66],[2,4,27],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=26, w=26\",\"Add (0,3)=26, w=52\",\"Add (2,4)=27, w=79\",\"Add (1,2)=52, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,86],[0,3,26],[0,4,54],[1,2,52],[1,3,69],[1,4,58],[2,3,66],[2,4,27],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=26 Succeeded, w=26\",\"Add (0,3)=26 Succeeded, w=52\",\"Add (2,4)=27 Succeeded, w=79\",\"Add (1,2)=52 Succeeded, w=131\",\"Add (0,4)=54 Failed, w=131\",\"Add (1,4)=58 Failed, w=131\",\"Add (2,3)=66 Failed, w=131\",\"Add (1,3)=69 Failed, w=131\",\"Add (0,2)=86 Failed, w=131\",\"Add (3,4)=94 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,86],[0,3,26],[0,4,54],[1,2,52],[1,3,69],[1,4,58],[2,3,66],[2,4,27],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=26,(0,3)=26,(2,4)=27,(1,2)=52,(0,4)=54,(1,4)=58,(2,3)=66,(1,3)=69,(0,2)=86,(3,4)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=52\",\"Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=79\",\"Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=131\",\"Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=131\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=131\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=131\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=131\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=131\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,86],[0,3,26],[0,4,54],[1,2,52],[1,3,69],[1,4,58],[2,3,66],[2,4,27],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=26,(0,3)=26,(2,4)=27,(1,2)=52,(0,4)=54,(1,4)=58,(2,3)=66,(1,3)=69,(0,2)=86,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,2,43],[0,3,13],[0,4,31],[1,5,46],[2,5,79],[3,5,39],[4,5,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,43],[0,3,13],[0,4,31],[1,5,46],[2,5,79],[3,5,39],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,43],[0,3,13],[0,4,31],[1,5,46],[2,5,79],[3,5,39],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,43],[0,3,13],[0,4,31],[1,5,46],[2,5,79],[3,5,39],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (0,4)=31, w=44\",\"Add (3,5)=39, w=83\",\"Add (0,2)=43, w=126\",\"Add (1,5)=46, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,43],[0,3,13],[0,4,31],[1,5,46],[2,5,79],[3,5,39],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (0,4)=31 Succeeded, w=44\",\"Add (3,5)=39 Succeeded, w=83\",\"Add (0,2)=43 Succeeded, w=126\",\"Add (1,5)=46 Succeeded, w=172\",\"Add (4,5)=69 Failed, w=172\",\"Add (0,1)=72 Failed, w=172\",\"Add (2,5)=79 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,43],[0,3,13],[0,4,31],[1,5,46],[2,5,79],[3,5,39],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,4)=31,(3,5)=39,(0,2)=43,(1,5)=46,(4,5)=69,(0,1)=72,(2,5)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=44\",\"Find(3)=0, Find(5)=5, Add (3,5)=39 Succeeded, w=83\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=126\",\"Find(1)=1, Find(5)=0, Add (1,5)=46 Succeeded, w=172\",\"Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=172\",\"Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=172\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,43],[0,3,13],[0,4,31],[1,5,46],[2,5,79],[3,5,39],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,4)=31,(3,5)=39,(0,2)=43,(1,5)=46,(4,5)=69,(0,1)=72,(2,5)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=39 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=46 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,50],[0,3,80],[0,4,39],[0,5,41],[1,2,34],[1,3,45],[1,4,50],[2,3,91],[2,4,88],[3,4,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,50],[0,3,80],[0,4,39],[0,5,41],[1,2,34],[1,3,45],[1,4,50],[2,3,91],[2,4,88],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,50],[0,3,80],[0,4,39],[0,5,41],[1,2,34],[1,3,45],[1,4,50],[2,3,91],[2,4,88],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (1,3)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,50],[0,3,80],[0,4,39],[0,5,41],[1,2,34],[1,3,45],[1,4,50],[2,3,91],[2,4,88],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=34, w=34\",\"Add (0,1)=38, w=72\",\"Add (0,4)=39, w=111\",\"Add (0,5)=41, w=152\",\"Add (1,3)=45, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,50],[0,3,80],[0,4,39],[0,5,41],[1,2,34],[1,3,45],[1,4,50],[2,3,91],[2,4,88],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=34 Succeeded, w=34\",\"Add (0,1)=38 Succeeded, w=72\",\"Add (0,4)=39 Succeeded, w=111\",\"Add (0,5)=41 Succeeded, w=152\",\"Add (1,3)=45 Succeeded, w=197\",\"Add (0,2)=50 Failed, w=197\",\"Add (1,4)=50 Failed, w=197\",\"Add (0,3)=80 Failed, w=197\",\"Add (3,4)=87 Failed, w=197\",\"Add (2,4)=88 Failed, w=197\",\"Add (2,3)=91 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,50],[0,3,80],[0,4,39],[0,5,41],[1,2,34],[1,3,45],[1,4,50],[2,3,91],[2,4,88],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=34,(0,1)=38,(0,4)=39,(0,5)=41,(1,3)=45,(0,2)=50,(1,4)=50,(0,3)=80,(3,4)=87,(2,4)=88,(2,3)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=72\",\"Find(0)=1, Find(4)=4, Add (0,4)=39 Succeeded, w=111\",\"Find(0)=1, Find(5)=5, Add (0,5)=41 Succeeded, w=152\",\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=197\",\"Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=197\",\"Find(1)=1, Find(4)=1, Add (1,4)=50 Failed, w=197\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=197\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=197\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=197\",\"Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,50],[0,3,80],[0,4,39],[0,5,41],[1,2,34],[1,3,45],[1,4,50],[2,3,91],[2,4,88],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=34,(0,1)=38,(0,4)=39,(0,5)=41,(1,3)=45,(0,2)=50,(1,4)=50,(0,3)=80,(3,4)=87,(2,4)=88,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=1, Find(4)=4, Add (0,4)=39 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=41 Succeeded, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=50 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,66],[0,4,45],[1,2,3],[1,5,45],[2,5,11],[3,4,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,4,45],[1,2,3],[1,5,45],[2,5,11],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,4,45],[1,2,3],[1,5,45],[2,5,11],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,4,45],[1,2,3],[1,5,45],[2,5,11],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (2,5)=11, w=14\",\"Add (0,4)=45, w=59\",\"Add (0,2)=66, w=125\",\"Add (3,4)=98, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,4,45],[1,2,3],[1,5,45],[2,5,11],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (2,5)=11 Succeeded, w=14\",\"Add (0,4)=45 Succeeded, w=59\",\"Add (1,5)=45 Failed, w=59\",\"Add (0,2)=66 Succeeded, w=125\",\"Add (3,4)=98 Succeeded, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,4,45],[1,2,3],[1,5,45],[2,5,11],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(2,5)=11,(0,4)=45,(1,5)=45,(0,2)=66,(3,4)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(2)=1, Find(5)=5, Add (2,5)=11 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=45 Succeeded, w=59\",\"Find(1)=1, Find(5)=1, Add (1,5)=45 Failed, w=59\",\"Find(0)=0, Find(2)=1, Add (0,2)=66 Succeeded, w=125\",\"Find(3)=3, Find(4)=0, Add (3,4)=98 Succeeded, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,4,45],[1,2,3],[1,5,45],[2,5,11],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(2,5)=11,(0,4)=45,(1,5)=45,(0,2)=66,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=45 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=45 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(2)=1, Add (0,2)=66 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1}, Find(3)=3, Find(4)=0, Add (3,4)=98 Succeeded, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,66],[0,2,11],[0,3,11],[1,2,40],[2,3,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,11],[0,3,11],[1,2,40],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,11],[0,3,11],[1,2,40],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,11],[0,3,11],[1,2,40],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,2)=11, w=15\",\"Add (1,2)=40, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,11],[0,3,11],[1,2,40],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,2)=11 Succeeded, w=15\",\"Add (0,3)=11 Failed, w=15\",\"Add (1,2)=40 Succeeded, w=55\",\"Add (0,1)=66 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,11],[0,3,11],[1,2,40],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,2)=11,(0,3)=11,(1,2)=40,(0,1)=66]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Find(0)=2, Find(3)=2, Add (0,3)=11 Failed, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=55\",\"Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,11],[0,3,11],[1,2,40],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,2)=11,(0,3)=11,(1,2)=40,(0,1)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=11 Failed, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,33],[0,2,77],[0,3,33],[0,4,72],[0,5,33],[0,6,63],[1,2,47],[1,3,84],[1,5,61],[2,4,1],[2,5,39],[2,6,17],[3,4,28],[3,6,51],[4,5,37],[4,6,20],[5,6,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,77],[0,3,33],[0,4,72],[0,5,33],[0,6,63],[1,2,47],[1,3,84],[1,5,61],[2,4,1],[2,5,39],[2,6,17],[3,4,28],[3,6,51],[4,5,37],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,77],[0,3,33],[0,4,72],[0,5,33],[0,6,63],[1,2,47],[1,3,84],[1,5,61],[2,4,1],[2,5,39],[2,6,17],[3,4,28],[3,6,51],[4,5,37],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,77],[0,3,33],[0,4,72],[0,5,33],[0,6,63],[1,2,47],[1,3,84],[1,5,61],[2,4,1],[2,5,39],[2,6,17],[3,4,28],[3,6,51],[4,5,37],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (2,6)=17, w=18\",\"Add (3,4)=28, w=46\",\"Add (0,1)=33, w=79\",\"Add (0,3)=33, w=112\",\"Add (0,5)=33, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,77],[0,3,33],[0,4,72],[0,5,33],[0,6,63],[1,2,47],[1,3,84],[1,5,61],[2,4,1],[2,5,39],[2,6,17],[3,4,28],[3,6,51],[4,5,37],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (2,6)=17 Succeeded, w=18\",\"Add (4,6)=20 Failed, w=18\",\"Add (3,4)=28 Succeeded, w=46\",\"Add (0,1)=33 Succeeded, w=79\",\"Add (0,3)=33 Succeeded, w=112\",\"Add (0,5)=33 Succeeded, w=145\",\"Add (4,5)=37 Failed, w=145\",\"Add (2,5)=39 Failed, w=145\",\"Add (1,2)=47 Failed, w=145\",\"Add (3,6)=51 Failed, w=145\",\"Add (1,5)=61 Failed, w=145\",\"Add (0,6)=63 Failed, w=145\",\"Add (0,4)=72 Failed, w=145\",\"Add (0,2)=77 Failed, w=145\",\"Add (1,3)=84 Failed, w=145\",\"Add (5,6)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,77],[0,3,33],[0,4,72],[0,5,33],[0,6,63],[1,2,47],[1,3,84],[1,5,61],[2,4,1],[2,5,39],[2,6,17],[3,4,28],[3,6,51],[4,5,37],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(2,6)=17,(4,6)=20,(3,4)=28,(0,1)=33,(0,3)=33,(0,5)=33,(4,5)=37,(2,5)=39,(1,2)=47,(3,6)=51,(1,5)=61,(0,6)=63,(0,4)=72,(0,2)=77,(1,3)=84,(5,6)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(6)=6, Add (2,6)=17 Succeeded, w=18\",\"Find(4)=2, Find(6)=2, Add (4,6)=20 Failed, w=18\",\"Find(3)=3, Find(4)=2, Add (3,4)=28 Succeeded, w=46\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=79\",\"Find(0)=0, Find(3)=2, Add (0,3)=33 Succeeded, w=112\",\"Find(0)=0, Find(5)=5, Add (0,5)=33 Succeeded, w=145\",\"Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=145\",\"Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=145\",\"Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=145\",\"Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=145\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=145\",\"Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=145\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=145\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=145\",\"Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,77],[0,3,33],[0,4,72],[0,5,33],[0,6,63],[1,2,47],[1,3,84],[1,5,61],[2,4,1],[2,5,39],[2,6,17],[3,4,28],[3,6,51],[4,5,37],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(2,6)=17,(4,6)=20,(3,4)=28,(0,1)=33,(0,3)=33,(0,5)=33,(4,5)=37,(2,5)=39,(1,2)=47,(3,6)=51,(1,5)=61,(0,6)=63,(0,4)=72,(0,2)=77,(1,3)=84,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=17 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=20 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=3, Find(4)=2, Add (3,4)=28 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=33 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 2}, Find(0)=0, Find(5)=5, Add (0,5)=33 Succeeded, w=145\",\"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=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=145\",\"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=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,30],[0,2,91],[0,3,37],[0,4,35],[0,6,75],[1,2,59],[1,3,87],[1,4,78],[1,5,82],[1,6,19],[2,3,92],[2,4,71],[2,5,8],[2,6,5],[3,4,14],[3,5,90],[3,6,28],[4,5,59],[5,6,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,91],[0,3,37],[0,4,35],[0,6,75],[1,2,59],[1,3,87],[1,4,78],[1,5,82],[1,6,19],[2,3,92],[2,4,71],[2,5,8],[2,6,5],[3,4,14],[3,5,90],[3,6,28],[4,5,59],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,91],[0,3,37],[0,4,35],[0,6,75],[1,2,59],[1,3,87],[1,4,78],[1,5,82],[1,6,19],[2,3,92],[2,4,71],[2,5,8],[2,6,5],[3,4,14],[3,5,90],[3,6,28],[4,5,59],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (0,1)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,91],[0,3,37],[0,4,35],[0,6,75],[1,2,59],[1,3,87],[1,4,78],[1,5,82],[1,6,19],[2,3,92],[2,4,71],[2,5,8],[2,6,5],[3,4,14],[3,5,90],[3,6,28],[4,5,59],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5, w=5\",\"Add (2,5)=8, w=13\",\"Add (3,4)=14, w=27\",\"Add (1,6)=19, w=46\",\"Add (3,6)=28, w=74\",\"Add (0,1)=30, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,91],[0,3,37],[0,4,35],[0,6,75],[1,2,59],[1,3,87],[1,4,78],[1,5,82],[1,6,19],[2,3,92],[2,4,71],[2,5,8],[2,6,5],[3,4,14],[3,5,90],[3,6,28],[4,5,59],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5 Succeeded, w=5\",\"Add (2,5)=8 Succeeded, w=13\",\"Add (3,4)=14 Succeeded, w=27\",\"Add (5,6)=14 Failed, w=27\",\"Add (1,6)=19 Succeeded, w=46\",\"Add (3,6)=28 Succeeded, w=74\",\"Add (0,1)=30 Succeeded, w=104\",\"Add (0,4)=35 Failed, w=104\",\"Add (0,3)=37 Failed, w=104\",\"Add (1,2)=59 Failed, w=104\",\"Add (4,5)=59 Failed, w=104\",\"Add (2,4)=71 Failed, w=104\",\"Add (0,6)=75 Failed, w=104\",\"Add (1,4)=78 Failed, w=104\",\"Add (1,5)=82 Failed, w=104\",\"Add (1,3)=87 Failed, w=104\",\"Add (3,5)=90 Failed, w=104\",\"Add (0,2)=91 Failed, w=104\",\"Add (2,3)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,91],[0,3,37],[0,4,35],[0,6,75],[1,2,59],[1,3,87],[1,4,78],[1,5,82],[1,6,19],[2,3,92],[2,4,71],[2,5,8],[2,6,5],[3,4,14],[3,5,90],[3,6,28],[4,5,59],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(2,5)=8,(3,4)=14,(5,6)=14,(1,6)=19,(3,6)=28,(0,1)=30,(0,4)=35,(0,3)=37,(1,2)=59,(4,5)=59,(2,4)=71,(0,6)=75,(1,4)=78,(1,5)=82,(1,3)=87,(3,5)=90,(0,2)=91,(2,3)=92]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=13\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=27\",\"Find(5)=2, Find(6)=2, Add (5,6)=14 Failed, w=27\",\"Find(1)=1, Find(6)=2, Add (1,6)=19 Succeeded, w=46\",\"Find(3)=3, Find(6)=2, Add (3,6)=28 Succeeded, w=74\",\"Find(0)=0, Find(1)=3, Add (0,1)=30 Succeeded, w=104\",\"Find(0)=3, Find(4)=3, Add (0,4)=35 Failed, w=104\",\"Find(0)=3, Find(3)=3, Add (0,3)=37 Failed, w=104\",\"Find(1)=3, Find(2)=3, Add (1,2)=59 Failed, w=104\",\"Find(4)=3, Find(5)=3, Add (4,5)=59 Failed, w=104\",\"Find(2)=3, Find(4)=3, Add (2,4)=71 Failed, w=104\",\"Find(0)=3, Find(6)=3, Add (0,6)=75 Failed, w=104\",\"Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=104\",\"Find(1)=3, Find(5)=3, Add (1,5)=82 Failed, w=104\",\"Find(1)=3, Find(3)=3, Add (1,3)=87 Failed, w=104\",\"Find(3)=3, Find(5)=3, Add (3,5)=90 Failed, w=104\",\"Find(0)=3, Find(2)=3, Add (0,2)=91 Failed, w=104\",\"Find(2)=3, Find(3)=3, Add (2,3)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,91],[0,3,37],[0,4,35],[0,6,75],[1,2,59],[1,3,87],[1,4,78],[1,5,82],[1,6,19],[2,3,92],[2,4,71],[2,5,8],[2,6,5],[3,4,14],[3,5,90],[3,6,28],[4,5,59],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(2,5)=8,(3,4)=14,(5,6)=14,(1,6)=19,(3,6)=28,(0,1)=30,(0,4)=35,(0,3)=37,(1,2)=59,(4,5)=59,(2,4)=71,(0,6)=75,(1,4)=78,(1,5)=82,(1,3)=87,(3,5)=90,(0,2)=91,(2,3)=92]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=14 Failed, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=19 Succeeded, w=46\",\"Parent: {0: 0, 1: 2, 2: 3, 3: 3, 4: 3, 5: 2, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=28 Succeeded, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 2}, Find(0)=0, Find(1)=3, Add (0,1)=30 Succeeded, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 2}, Find(0)=3, Find(4)=3, Add (0,4)=35 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 2}, Find(0)=3, Find(3)=3, Add (0,3)=37 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 2}, Find(1)=3, Find(2)=3, Add (1,2)=59 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2}, Find(4)=3, Find(5)=3, Add (4,5)=59 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2}, Find(2)=3, Find(4)=3, Add (2,4)=71 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=75 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=82 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=87 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=90 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=91 Failed, w=104\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,28],[0,2,59],[0,3,62],[0,4,100],[0,5,29],[0,6,4],[0,7,74],[1,2,67],[1,3,78],[1,4,14],[1,5,83],[1,6,77],[1,7,13],[2,3,64],[2,4,30],[2,5,11],[2,6,51],[2,7,100],[3,4,88],[3,5,83],[3,6,57],[3,7,40],[4,5,66],[4,6,83],[4,7,48],[5,6,85],[5,7,50],[6,7,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,59],[0,3,62],[0,4,100],[0,5,29],[0,6,4],[0,7,74],[1,2,67],[1,3,78],[1,4,14],[1,5,83],[1,6,77],[1,7,13],[2,3,64],[2,4,30],[2,5,11],[2,6,51],[2,7,100],[3,4,88],[3,5,83],[3,6,57],[3,7,40],[4,5,66],[4,6,83],[4,7,48],[5,6,85],[5,7,50],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,59],[0,3,62],[0,4,100],[0,5,29],[0,6,4],[0,7,74],[1,2,67],[1,3,78],[1,4,14],[1,5,83],[1,6,77],[1,7,13],[2,3,64],[2,4,30],[2,5,11],[2,6,51],[2,7,100],[3,4,88],[3,5,83],[3,6,57],[3,7,40],[4,5,66],[4,6,83],[4,7,48],[5,6,85],[5,7,50],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,5)\",\"Add (1,7)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (3,7)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,59],[0,3,62],[0,4,100],[0,5,29],[0,6,4],[0,7,74],[1,2,67],[1,3,78],[1,4,14],[1,5,83],[1,6,77],[1,7,13],[2,3,64],[2,4,30],[2,5,11],[2,6,51],[2,7,100],[3,4,88],[3,5,83],[3,6,57],[3,7,40],[4,5,66],[4,6,83],[4,7,48],[5,6,85],[5,7,50],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4, w=4\",\"Add (2,5)=11, w=15\",\"Add (1,7)=13, w=28\",\"Add (1,4)=14, w=42\",\"Add (0,1)=28, w=70\",\"Add (0,5)=29, w=99\",\"Add (3,7)=40, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,59],[0,3,62],[0,4,100],[0,5,29],[0,6,4],[0,7,74],[1,2,67],[1,3,78],[1,4,14],[1,5,83],[1,6,77],[1,7,13],[2,3,64],[2,4,30],[2,5,11],[2,6,51],[2,7,100],[3,4,88],[3,5,83],[3,6,57],[3,7,40],[4,5,66],[4,6,83],[4,7,48],[5,6,85],[5,7,50],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4 Succeeded, w=4\",\"Add (2,5)=11 Succeeded, w=15\",\"Add (1,7)=13 Succeeded, w=28\",\"Add (1,4)=14 Succeeded, w=42\",\"Add (0,1)=28 Succeeded, w=70\",\"Add (0,5)=29 Succeeded, w=99\",\"Add (2,4)=30 Failed, w=99\",\"Add (6,7)=38 Failed, w=99\",\"Add (3,7)=40 Succeeded, w=139\",\"Add (4,7)=48 Failed, w=139\",\"Add (5,7)=50 Failed, w=139\",\"Add (2,6)=51 Failed, w=139\",\"Add (3,6)=57 Failed, w=139\",\"Add (0,2)=59 Failed, w=139\",\"Add (0,3)=62 Failed, w=139\",\"Add (2,3)=64 Failed, w=139\",\"Add (4,5)=66 Failed, w=139\",\"Add (1,2)=67 Failed, w=139\",\"Add (0,7)=74 Failed, w=139\",\"Add (1,6)=77 Failed, w=139\",\"Add (1,3)=78 Failed, w=139\",\"Add (1,5)=83 Failed, w=139\",\"Add (3,5)=83 Failed, w=139\",\"Add (4,6)=83 Failed, w=139\",\"Add (5,6)=85 Failed, w=139\",\"Add (3,4)=88 Failed, w=139\",\"Add (0,4)=100 Failed, w=139\",\"Add (2,7)=100 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,59],[0,3,62],[0,4,100],[0,5,29],[0,6,4],[0,7,74],[1,2,67],[1,3,78],[1,4,14],[1,5,83],[1,6,77],[1,7,13],[2,3,64],[2,4,30],[2,5,11],[2,6,51],[2,7,100],[3,4,88],[3,5,83],[3,6,57],[3,7,40],[4,5,66],[4,6,83],[4,7,48],[5,6,85],[5,7,50],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(2,5)=11,(1,7)=13,(1,4)=14,(0,1)=28,(0,5)=29,(2,4)=30,(6,7)=38,(3,7)=40,(4,7)=48,(5,7)=50,(2,6)=51,(3,6)=57,(0,2)=59,(0,3)=62,(2,3)=64,(4,5)=66,(1,2)=67,(0,7)=74,(1,6)=77,(1,3)=78,(1,5)=83,(3,5)=83,(4,6)=83,(5,6)=85,(3,4)=88,(0,4)=100,(2,7)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=15\",\"Find(1)=1, Find(7)=7, Add (1,7)=13 Succeeded, w=28\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=42\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=70\",\"Find(0)=0, Find(5)=2, Add (0,5)=29 Succeeded, w=99\",\"Find(2)=0, Find(4)=0, Add (2,4)=30 Failed, w=99\",\"Find(6)=0, Find(7)=0, Add (6,7)=38 Failed, w=99\",\"Find(3)=3, Find(7)=0, Add (3,7)=40 Succeeded, w=139\",\"Find(4)=0, Find(7)=0, Add (4,7)=48 Failed, w=139\",\"Find(5)=0, Find(7)=0, Add (5,7)=50 Failed, w=139\",\"Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=139\",\"Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=139\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=139\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=139\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=139\",\"Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=139\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=139\",\"Find(0)=0, Find(7)=0, Add (0,7)=74 Failed, w=139\",\"Find(1)=0, Find(6)=0, Add (1,6)=77 Failed, w=139\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=139\",\"Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=139\",\"Find(3)=0, Find(5)=0, Add (3,5)=83 Failed, w=139\",\"Find(4)=0, Find(6)=0, Add (4,6)=83 Failed, w=139\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=139\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=139\",\"Find(2)=0, Find(7)=0, Add (2,7)=100 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,59],[0,3,62],[0,4,100],[0,5,29],[0,6,4],[0,7,74],[1,2,67],[1,3,78],[1,4,14],[1,5,83],[1,6,77],[1,7,13],[2,3,64],[2,4,30],[2,5,11],[2,6,51],[2,7,100],[3,4,88],[3,5,83],[3,6,57],[3,7,40],[4,5,66],[4,6,83],[4,7,48],[5,6,85],[5,7,50],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(2,5)=11,(1,7)=13,(1,4)=14,(0,1)=28,(0,5)=29,(2,4)=30,(6,7)=38,(3,7)=40,(4,7)=48,(5,7)=50,(2,6)=51,(3,6)=57,(0,2)=59,(0,3)=62,(2,3)=64,(4,5)=66,(1,2)=67,(0,7)=74,(1,6)=77,(1,3)=78,(1,5)=83,(3,5)=83,(4,6)=83,(5,6)=85,(3,4)=88,(0,4)=100,(2,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=13 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 0, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 2, 6: 0, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 2, 6: 0, 7: 1}, Find(0)=0, Find(5)=2, Add (0,5)=29 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 0, 7: 1}, Find(2)=0, Find(4)=0, Add (2,4)=30 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=38 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=40 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=48 Failed, w=139\",\"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)=50 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=139\",\"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)=57 Failed, w=139\",\"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)=59 Failed, w=139\",\"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=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=139\",\"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)=66 Failed, w=139\",\"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)=67 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=74 Failed, w=139\",\"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)=77 Failed, w=139\",\"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)=78 Failed, w=139\",\"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)=83 Failed, w=139\",\"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)=83 Failed, w=139\",\"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)=83 Failed, w=139\",\"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)=85 Failed, w=139\",\"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=139\",\"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)=100 Failed, w=139\",\"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)=100 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,3,100],[0,4,69],[1,2,98],[1,3,5],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,100],[0,4,69],[1,2,98],[1,3,5],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,100],[0,4,69],[1,2,98],[1,3,5],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,100],[0,4,69],[1,2,98],[1,3,5],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (0,1)=8, w=13\",\"Add (0,4)=69, w=82\",\"Add (2,3)=74, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,100],[0,4,69],[1,2,98],[1,3,5],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (0,1)=8 Succeeded, w=13\",\"Add (0,4)=69 Succeeded, w=82\",\"Add (2,3)=74 Succeeded, w=156\",\"Add (1,2)=98 Failed, w=156\",\"Add (0,3)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,100],[0,4,69],[1,2,98],[1,3,5],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,1)=8,(0,4)=69,(2,3)=74,(1,2)=98,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=13\",\"Find(0)=1, Find(4)=4, Add (0,4)=69 Succeeded, w=82\",\"Find(2)=2, Find(3)=1, Add (2,3)=74 Succeeded, w=156\",\"Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=156\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,100],[0,4,69],[1,2,98],[1,3,5],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,1)=8,(0,4)=69,(2,3)=74,(1,2)=98,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=69 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=74 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,37],[0,2,94],[0,3,55],[0,4,85],[0,5,64],[0,6,17],[1,2,41],[1,3,51],[1,4,24],[1,5,1],[1,6,50],[2,3,39],[2,4,98],[2,5,70],[2,6,58],[3,4,45],[3,5,7],[3,6,3],[4,5,1],[4,6,0],[5,6,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,94],[0,3,55],[0,4,85],[0,5,64],[0,6,17],[1,2,41],[1,3,51],[1,4,24],[1,5,1],[1,6,50],[2,3,39],[2,4,98],[2,5,70],[2,6,58],[3,4,45],[3,5,7],[3,6,3],[4,5,1],[4,6,0],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,94],[0,3,55],[0,4,85],[0,5,64],[0,6,17],[1,2,41],[1,3,51],[1,4,24],[1,5,1],[1,6,50],[2,3,39],[2,4,98],[2,5,70],[2,6,58],[3,4,45],[3,5,7],[3,6,3],[4,5,1],[4,6,0],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (2,3)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,94],[0,3,55],[0,4,85],[0,5,64],[0,6,17],[1,2,41],[1,3,51],[1,4,24],[1,5,1],[1,6,50],[2,3,39],[2,4,98],[2,5,70],[2,6,58],[3,4,45],[3,5,7],[3,6,3],[4,5,1],[4,6,0],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0, w=0\",\"Add (1,5)=1, w=1\",\"Add (4,5)=1, w=2\",\"Add (3,6)=3, w=5\",\"Add (0,6)=17, w=22\",\"Add (2,3)=39, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,94],[0,3,55],[0,4,85],[0,5,64],[0,6,17],[1,2,41],[1,3,51],[1,4,24],[1,5,1],[1,6,50],[2,3,39],[2,4,98],[2,5,70],[2,6,58],[3,4,45],[3,5,7],[3,6,3],[4,5,1],[4,6,0],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0 Succeeded, w=0\",\"Add (1,5)=1 Succeeded, w=1\",\"Add (4,5)=1 Succeeded, w=2\",\"Add (3,6)=3 Succeeded, w=5\",\"Add (3,5)=7 Failed, w=5\",\"Add (0,6)=17 Succeeded, w=22\",\"Add (1,4)=24 Failed, w=22\",\"Add (0,1)=37 Failed, w=22\",\"Add (2,3)=39 Succeeded, w=61\",\"Add (1,2)=41 Failed, w=61\",\"Add (3,4)=45 Failed, w=61\",\"Add (1,6)=50 Failed, w=61\",\"Add (5,6)=50 Failed, w=61\",\"Add (1,3)=51 Failed, w=61\",\"Add (0,3)=55 Failed, w=61\",\"Add (2,6)=58 Failed, w=61\",\"Add (0,5)=64 Failed, w=61\",\"Add (2,5)=70 Failed, w=61\",\"Add (0,4)=85 Failed, w=61\",\"Add (0,2)=94 Failed, w=61\",\"Add (2,4)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,94],[0,3,55],[0,4,85],[0,5,64],[0,6,17],[1,2,41],[1,3,51],[1,4,24],[1,5,1],[1,6,50],[2,3,39],[2,4,98],[2,5,70],[2,6,58],[3,4,45],[3,5,7],[3,6,3],[4,5,1],[4,6,0],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(1,5)=1,(4,5)=1,(3,6)=3,(3,5)=7,(0,6)=17,(1,4)=24,(0,1)=37,(2,3)=39,(1,2)=41,(3,4)=45,(1,6)=50,(5,6)=50,(1,3)=51,(0,3)=55,(2,6)=58,(0,5)=64,(2,5)=70,(0,4)=85,(0,2)=94,(2,4)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=1, Add (4,5)=1 Succeeded, w=2\",\"Find(3)=3, Find(6)=4, Add (3,6)=3 Succeeded, w=5\",\"Find(3)=4, Find(5)=4, Add (3,5)=7 Failed, w=5\",\"Find(0)=0, Find(6)=4, Add (0,6)=17 Succeeded, w=22\",\"Find(1)=4, Find(4)=4, Add (1,4)=24 Failed, w=22\",\"Find(0)=4, Find(1)=4, Add (0,1)=37 Failed, w=22\",\"Find(2)=2, Find(3)=4, Add (2,3)=39 Succeeded, w=61\",\"Find(1)=4, Find(2)=4, Add (1,2)=41 Failed, w=61\",\"Find(3)=4, Find(4)=4, Add (3,4)=45 Failed, w=61\",\"Find(1)=4, Find(6)=4, Add (1,6)=50 Failed, w=61\",\"Find(5)=4, Find(6)=4, Add (5,6)=50 Failed, w=61\",\"Find(1)=4, Find(3)=4, Add (1,3)=51 Failed, w=61\",\"Find(0)=4, Find(3)=4, Add (0,3)=55 Failed, w=61\",\"Find(2)=4, Find(6)=4, Add (2,6)=58 Failed, w=61\",\"Find(0)=4, Find(5)=4, Add (0,5)=64 Failed, w=61\",\"Find(2)=4, Find(5)=4, Add (2,5)=70 Failed, w=61\",\"Find(0)=4, Find(4)=4, Add (0,4)=85 Failed, w=61\",\"Find(0)=4, Find(2)=4, Add (0,2)=94 Failed, w=61\",\"Find(2)=4, Find(4)=4, Add (2,4)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,94],[0,3,55],[0,4,85],[0,5,64],[0,6,17],[1,2,41],[1,3,51],[1,4,24],[1,5,1],[1,6,50],[2,3,39],[2,4,98],[2,5,70],[2,6,58],[3,4,45],[3,5,7],[3,6,3],[4,5,1],[4,6,0],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(1,5)=1,(4,5)=1,(3,6)=3,(3,5)=7,(0,6)=17,(1,4)=24,(0,1)=37,(2,3)=39,(1,2)=41,(3,4)=45,(1,6)=50,(5,6)=50,(1,3)=51,(0,3)=55,(2,6)=58,(0,5)=64,(2,5)=70,(0,4)=85,(0,2)=94,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 4}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 1, 6: 4}, Find(4)=4, Find(5)=1, Add (4,5)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 1, 6: 4}, Find(3)=3, Find(6)=4, Add (3,6)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=7 Failed, w=5\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=17 Succeeded, w=22\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=24 Failed, w=22\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=37 Failed, w=22\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(3)=4, Add (2,3)=39 Succeeded, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=41 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=45 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=50 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=50 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=51 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=55 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=58 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=64 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=70 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=85 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=94 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,2,42],[0,3,96],[0,4,9],[0,5,10],[1,2,93],[1,4,29],[1,5,27],[2,3,78],[2,4,90],[2,5,44],[3,4,32],[3,5,86],[4,5,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,42],[0,3,96],[0,4,9],[0,5,10],[1,2,93],[1,4,29],[1,5,27],[2,3,78],[2,4,90],[2,5,44],[3,4,32],[3,5,86],[4,5,39]]}",
"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\":[[0,1,10],[0,2,42],[0,3,96],[0,4,9],[0,5,10],[1,2,93],[1,4,29],[1,5,27],[2,3,78],[2,4,90],[2,5,44],[3,4,32],[3,5,86],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,42],[0,3,96],[0,4,9],[0,5,10],[1,2,93],[1,4,29],[1,5,27],[2,3,78],[2,4,90],[2,5,44],[3,4,32],[3,5,86],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (0,1)=10, w=19\",\"Add (0,5)=10, w=29\",\"Add (3,4)=32, w=61\",\"Add (0,2)=42, 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\":[[0,1,10],[0,2,42],[0,3,96],[0,4,9],[0,5,10],[1,2,93],[1,4,29],[1,5,27],[2,3,78],[2,4,90],[2,5,44],[3,4,32],[3,5,86],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (0,1)=10 Succeeded, w=19\",\"Add (0,5)=10 Succeeded, w=29\",\"Add (1,5)=27 Failed, w=29\",\"Add (1,4)=29 Failed, w=29\",\"Add (3,4)=32 Succeeded, w=61\",\"Add (4,5)=39 Failed, w=61\",\"Add (0,2)=42 Succeeded, w=103\",\"Add (2,5)=44 Failed, w=103\",\"Add (2,3)=78 Failed, w=103\",\"Add (3,5)=86 Failed, w=103\",\"Add (2,4)=90 Failed, w=103\",\"Add (1,2)=93 Failed, w=103\",\"Add (0,3)=96 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\":[[0,1,10],[0,2,42],[0,3,96],[0,4,9],[0,5,10],[1,2,93],[1,4,29],[1,5,27],[2,3,78],[2,4,90],[2,5,44],[3,4,32],[3,5,86],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(0,1)=10,(0,5)=10,(1,5)=27,(1,4)=29,(3,4)=32,(4,5)=39,(0,2)=42,(2,5)=44,(2,3)=78,(3,5)=86,(2,4)=90,(1,2)=93,(0,3)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=19\",\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=29\",\"Find(1)=0, Find(5)=0, Add (1,5)=27 Failed, w=29\",\"Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=29\",\"Find(3)=3, Find(4)=0, Add (3,4)=32 Succeeded, w=61\",\"Find(4)=0, Find(5)=0, Add (4,5)=39 Failed, w=61\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=103\",\"Find(2)=0, Find(5)=0, Add (2,5)=44 Failed, w=103\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=103\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=103\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=103\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=103\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 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\":[[0,1,10],[0,2,42],[0,3,96],[0,4,9],[0,5,10],[1,2,93],[1,4,29],[1,5,27],[2,3,78],[2,4,90],[2,5,44],[3,4,32],[3,5,86],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(0,1)=10,(0,5)=10,(1,5)=27,(1,4)=29,(3,4)=32,(4,5)=39,(0,2)=42,(2,5)=44,(2,3)=78,(3,5)=86,(2,4)=90,(1,2)=93,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=27 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=32 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=39 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=44 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,99],[0,2,48],[0,3,55],[0,4,1],[0,5,53],[1,2,70],[1,3,65],[1,4,11],[1,5,0],[1,6,14],[2,3,38],[2,4,66],[2,5,26],[2,6,5],[3,5,25],[4,5,15],[4,6,82],[5,6,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,2,48],[0,3,55],[0,4,1],[0,5,53],[1,2,70],[1,3,65],[1,4,11],[1,5,0],[1,6,14],[2,3,38],[2,4,66],[2,5,26],[2,6,5],[3,5,25],[4,5,15],[4,6,82],[5,6,60]]}",
"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\":[[0,1,99],[0,2,48],[0,3,55],[0,4,1],[0,5,53],[1,2,70],[1,3,65],[1,4,11],[1,5,0],[1,6,14],[2,3,38],[2,4,66],[2,5,26],[2,6,5],[3,5,25],[4,5,15],[4,6,82],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (3,5)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,2,48],[0,3,55],[0,4,1],[0,5,53],[1,2,70],[1,3,65],[1,4,11],[1,5,0],[1,6,14],[2,3,38],[2,4,66],[2,5,26],[2,6,5],[3,5,25],[4,5,15],[4,6,82],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (0,4)=1, w=1\",\"Add (2,6)=5, w=6\",\"Add (1,4)=11, w=17\",\"Add (1,6)=14, w=31\",\"Add (3,5)=25, 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\":[[0,1,99],[0,2,48],[0,3,55],[0,4,1],[0,5,53],[1,2,70],[1,3,65],[1,4,11],[1,5,0],[1,6,14],[2,3,38],[2,4,66],[2,5,26],[2,6,5],[3,5,25],[4,5,15],[4,6,82],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (0,4)=1 Succeeded, w=1\",\"Add (2,6)=5 Succeeded, w=6\",\"Add (1,4)=11 Succeeded, w=17\",\"Add (1,6)=14 Succeeded, w=31\",\"Add (4,5)=15 Failed, w=31\",\"Add (3,5)=25 Succeeded, w=56\",\"Add (2,5)=26 Failed, w=56\",\"Add (2,3)=38 Failed, w=56\",\"Add (0,2)=48 Failed, w=56\",\"Add (0,5)=53 Failed, w=56\",\"Add (0,3)=55 Failed, w=56\",\"Add (5,6)=60 Failed, w=56\",\"Add (1,3)=65 Failed, w=56\",\"Add (2,4)=66 Failed, w=56\",\"Add (1,2)=70 Failed, w=56\",\"Add (4,6)=82 Failed, w=56\",\"Add (0,1)=99 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\":[[0,1,99],[0,2,48],[0,3,55],[0,4,1],[0,5,53],[1,2,70],[1,3,65],[1,4,11],[1,5,0],[1,6,14],[2,3,38],[2,4,66],[2,5,26],[2,6,5],[3,5,25],[4,5,15],[4,6,82],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(0,4)=1,(2,6)=5,(1,4)=11,(1,6)=14,(4,5)=15,(3,5)=25,(2,5)=26,(2,3)=38,(0,2)=48,(0,5)=53,(0,3)=55,(5,6)=60,(1,3)=65,(2,4)=66,(1,2)=70,(4,6)=82,(0,1)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=6\",\"Find(1)=1, Find(4)=0, Add (1,4)=11 Succeeded, w=17\",\"Find(1)=1, Find(6)=2, Add (1,6)=14 Succeeded, w=31\",\"Find(4)=1, Find(5)=1, Add (4,5)=15 Failed, w=31\",\"Find(3)=3, Find(5)=1, Add (3,5)=25 Succeeded, w=56\",\"Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=56\",\"Find(2)=1, Find(3)=1, Add (2,3)=38 Failed, w=56\",\"Find(0)=1, Find(2)=1, Add (0,2)=48 Failed, w=56\",\"Find(0)=1, Find(5)=1, Add (0,5)=53 Failed, w=56\",\"Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=56\",\"Find(5)=1, Find(6)=1, Add (5,6)=60 Failed, w=56\",\"Find(1)=1, Find(3)=1, Add (1,3)=65 Failed, w=56\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=56\",\"Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=56\",\"Find(4)=1, Find(6)=1, Add (4,6)=82 Failed, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=99 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\":[[0,1,99],[0,2,48],[0,3,55],[0,4,1],[0,5,53],[1,2,70],[1,3,65],[1,4,11],[1,5,0],[1,6,14],[2,3,38],[2,4,66],[2,5,26],[2,6,5],[3,5,25],[4,5,15],[4,6,82],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(0,4)=1,(2,6)=5,(1,4)=11,(1,6)=14,(4,5)=15,(3,5)=25,(2,5)=26,(2,3)=38,(0,2)=48,(0,5)=53,(0,3)=55,(5,6)=60,(1,3)=65,(2,4)=66,(1,2)=70,(4,6)=82,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 2}, Find(1)=1, Find(4)=0, Add (1,4)=11 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=14 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 2}, Find(4)=1, Find(5)=1, Add (4,5)=15 Failed, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(3)=3, Find(5)=1, Add (3,5)=25 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(3)=1, Add (2,3)=38 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(2)=1, Add (0,2)=48 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(5)=1, Add (0,5)=53 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(3)=1, Add (0,3)=55 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)=60 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)=65 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)=66 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=82 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,2,85],[0,4,32],[0,5,77],[1,2,96],[1,3,9],[1,4,0],[1,5,23],[2,3,69],[2,4,7],[3,4,65],[4,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,85],[0,4,32],[0,5,77],[1,2,96],[1,3,9],[1,4,0],[1,5,23],[2,3,69],[2,4,7],[3,4,65],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,85],[0,4,32],[0,5,77],[1,2,96],[1,3,9],[1,4,0],[1,5,23],[2,3,69],[2,4,7],[3,4,65],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,85],[0,4,32],[0,5,77],[1,2,96],[1,3,9],[1,4,0],[1,5,23],[2,3,69],[2,4,7],[3,4,65],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (2,4)=7, w=7\",\"Add (1,3)=9, w=16\",\"Add (1,5)=23, w=39\",\"Add (0,4)=32, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,85],[0,4,32],[0,5,77],[1,2,96],[1,3,9],[1,4,0],[1,5,23],[2,3,69],[2,4,7],[3,4,65],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (2,4)=7 Succeeded, w=7\",\"Add (1,3)=9 Succeeded, w=16\",\"Add (1,5)=23 Succeeded, w=39\",\"Add (0,4)=32 Succeeded, w=71\",\"Add (0,1)=34 Failed, w=71\",\"Add (4,5)=45 Failed, w=71\",\"Add (3,4)=65 Failed, w=71\",\"Add (2,3)=69 Failed, w=71\",\"Add (0,5)=77 Failed, w=71\",\"Add (0,2)=85 Failed, w=71\",\"Add (1,2)=96 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,85],[0,4,32],[0,5,77],[1,2,96],[1,3,9],[1,4,0],[1,5,23],[2,3,69],[2,4,7],[3,4,65],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,4)=7,(1,3)=9,(1,5)=23,(0,4)=32,(0,1)=34,(4,5)=45,(3,4)=65,(2,3)=69,(0,5)=77,(0,2)=85,(1,2)=96]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=1, Add (2,4)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=16\",\"Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=39\",\"Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=71\",\"Find(0)=1, Find(1)=1, Add (0,1)=34 Failed, w=71\",\"Find(4)=1, Find(5)=1, Add (4,5)=45 Failed, w=71\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=71\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=71\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=71\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=71\",\"Find(1)=1, Find(2)=1, Add (1,2)=96 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,85],[0,4,32],[0,5,77],[1,2,96],[1,3,9],[1,4,0],[1,5,23],[2,3,69],[2,4,7],[3,4,65],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,4)=7,(1,3)=9,(1,5)=23,(0,4)=32,(0,1)=34,(4,5)=45,(3,4)=65,(2,3)=69,(0,5)=77,(0,2)=85,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=34 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=45 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=71\",\"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=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=96 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,87],[0,2,91],[0,3,43],[0,4,66],[0,5,6],[0,6,82],[0,7,0],[1,2,92],[1,3,9],[1,4,98],[1,5,51],[1,6,52],[1,7,33],[2,3,14],[2,4,100],[2,5,69],[2,6,50],[2,7,93],[3,4,14],[3,5,26],[3,6,87],[3,7,5],[4,5,1],[4,6,55],[4,7,58],[5,6,65],[5,7,99],[6,7,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,91],[0,3,43],[0,4,66],[0,5,6],[0,6,82],[0,7,0],[1,2,92],[1,3,9],[1,4,98],[1,5,51],[1,6,52],[1,7,33],[2,3,14],[2,4,100],[2,5,69],[2,6,50],[2,7,93],[3,4,14],[3,5,26],[3,6,87],[3,7,5],[4,5,1],[4,6,55],[4,7,58],[5,6,65],[5,7,99],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,91],[0,3,43],[0,4,66],[0,5,6],[0,6,82],[0,7,0],[1,2,92],[1,3,9],[1,4,98],[1,5,51],[1,6,52],[1,7,33],[2,3,14],[2,4,100],[2,5,69],[2,6,50],[2,7,93],[3,4,14],[3,5,26],[3,6,87],[3,7,5],[4,5,1],[4,6,55],[4,7,58],[5,6,65],[5,7,99],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (4,5)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (2,6)\"],\"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\":[[0,1,87],[0,2,91],[0,3,43],[0,4,66],[0,5,6],[0,6,82],[0,7,0],[1,2,92],[1,3,9],[1,4,98],[1,5,51],[1,6,52],[1,7,33],[2,3,14],[2,4,100],[2,5,69],[2,6,50],[2,7,93],[3,4,14],[3,5,26],[3,6,87],[3,7,5],[4,5,1],[4,6,55],[4,7,58],[5,6,65],[5,7,99],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0, w=0\",\"Add (4,5)=1, w=1\",\"Add (3,7)=5, w=6\",\"Add (0,5)=6, w=12\",\"Add (1,3)=9, w=21\",\"Add (2,3)=14, w=35\",\"Add (2,6)=50, 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\":[[0,1,87],[0,2,91],[0,3,43],[0,4,66],[0,5,6],[0,6,82],[0,7,0],[1,2,92],[1,3,9],[1,4,98],[1,5,51],[1,6,52],[1,7,33],[2,3,14],[2,4,100],[2,5,69],[2,6,50],[2,7,93],[3,4,14],[3,5,26],[3,6,87],[3,7,5],[4,5,1],[4,6,55],[4,7,58],[5,6,65],[5,7,99],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0 Succeeded, w=0\",\"Add (4,5)=1 Succeeded, w=1\",\"Add (3,7)=5 Succeeded, w=6\",\"Add (0,5)=6 Succeeded, w=12\",\"Add (1,3)=9 Succeeded, w=21\",\"Add (2,3)=14 Succeeded, w=35\",\"Add (3,4)=14 Failed, w=35\",\"Add (3,5)=26 Failed, w=35\",\"Add (1,7)=33 Failed, w=35\",\"Add (0,3)=43 Failed, w=35\",\"Add (2,6)=50 Succeeded, w=85\",\"Add (1,5)=51 Failed, w=85\",\"Add (1,6)=52 Failed, w=85\",\"Add (4,6)=55 Failed, w=85\",\"Add (4,7)=58 Failed, w=85\",\"Add (5,6)=65 Failed, w=85\",\"Add (0,4)=66 Failed, w=85\",\"Add (2,5)=69 Failed, w=85\",\"Add (0,6)=82 Failed, w=85\",\"Add (0,1)=87 Failed, w=85\",\"Add (3,6)=87 Failed, w=85\",\"Add (0,2)=91 Failed, w=85\",\"Add (6,7)=91 Failed, w=85\",\"Add (1,2)=92 Failed, w=85\",\"Add (2,7)=93 Failed, w=85\",\"Add (1,4)=98 Failed, w=85\",\"Add (5,7)=99 Failed, w=85\",\"Add (2,4)=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\":[[0,1,87],[0,2,91],[0,3,43],[0,4,66],[0,5,6],[0,6,82],[0,7,0],[1,2,92],[1,3,9],[1,4,98],[1,5,51],[1,6,52],[1,7,33],[2,3,14],[2,4,100],[2,5,69],[2,6,50],[2,7,93],[3,4,14],[3,5,26],[3,6,87],[3,7,5],[4,5,1],[4,6,55],[4,7,58],[5,6,65],[5,7,99],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(4,5)=1,(3,7)=5,(0,5)=6,(1,3)=9,(2,3)=14,(3,4)=14,(3,5)=26,(1,7)=33,(0,3)=43,(2,6)=50,(1,5)=51,(1,6)=52,(4,6)=55,(4,7)=58,(5,6)=65,(0,4)=66,(2,5)=69,(0,6)=82,(0,1)=87,(3,6)=87,(0,2)=91,(6,7)=91,(1,2)=92,(2,7)=93,(1,4)=98,(5,7)=99,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(7)=0, Add (3,7)=5 Succeeded, w=6\",\"Find(0)=0, Find(5)=4, Add (0,5)=6 Succeeded, w=12\",\"Find(1)=1, Find(3)=0, Add (1,3)=9 Succeeded, w=21\",\"Find(2)=2, Find(3)=0, Add (2,3)=14 Succeeded, w=35\",\"Find(3)=0, Find(4)=0, Add (3,4)=14 Failed, w=35\",\"Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=35\",\"Find(1)=0, Find(7)=0, Add (1,7)=33 Failed, w=35\",\"Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=35\",\"Find(2)=0, Find(6)=6, Add (2,6)=50 Succeeded, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=85\",\"Find(1)=0, Find(6)=0, Add (1,6)=52 Failed, w=85\",\"Find(4)=0, Find(6)=0, Add (4,6)=55 Failed, w=85\",\"Find(4)=0, Find(7)=0, Add (4,7)=58 Failed, w=85\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=85\",\"Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=85\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=85\",\"Find(0)=0, Find(6)=0, Add (0,6)=82 Failed, w=85\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=85\",\"Find(3)=0, Find(6)=0, Add (3,6)=87 Failed, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=85\",\"Find(6)=0, Find(7)=0, Add (6,7)=91 Failed, w=85\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=85\",\"Find(2)=0, Find(7)=0, Add (2,7)=93 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=85\",\"Find(5)=0, Find(7)=0, Add (5,7)=99 Failed, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=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\":[[0,1,87],[0,2,91],[0,3,43],[0,4,66],[0,5,6],[0,6,82],[0,7,0],[1,2,92],[1,3,9],[1,4,98],[1,5,51],[1,6,52],[1,7,33],[2,3,14],[2,4,100],[2,5,69],[2,6,50],[2,7,93],[3,4,14],[3,5,26],[3,6,87],[3,7,5],[4,5,1],[4,6,55],[4,7,58],[5,6,65],[5,7,99],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(4,5)=1,(3,7)=5,(0,5)=6,(1,3)=9,(2,3)=14,(3,4)=14,(3,5)=26,(1,7)=33,(0,3)=43,(2,6)=50,(1,5)=51,(1,6)=52,(4,6)=55,(4,7)=58,(5,6)=65,(0,4)=66,(2,5)=69,(0,6)=82,(0,1)=87,(3,6)=87,(0,2)=91,(6,7)=91,(1,2)=92,(2,7)=93,(1,4)=98,(5,7)=99,(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)=0 Succeeded, w=0\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(0)=0, Find(5)=4, Add (0,5)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=9 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(2)=2, Find(3)=0, Add (2,3)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=14 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=33 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=6, Add (2,6)=50 Succeeded, 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)=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(6)=0, Add (1,6)=52 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)=55 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)=58 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)=65 Failed, w=85\",\"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)=66 Failed, w=85\",\"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)=69 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)=82 Failed, w=85\",\"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)=87 Failed, w=85\",\"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)=87 Failed, w=85\",\"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)=91 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)=91 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)=92 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)=93 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)=98 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=99 Failed, w=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)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,5,71],[0,7,80],[1,2,27],[1,3,93],[1,5,41],[1,6,81],[2,3,6],[2,4,22],[2,6,93],[3,5,42],[3,6,71],[3,7,80],[4,5,11],[5,6,87],[5,7,92],[6,7,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,71],[0,7,80],[1,2,27],[1,3,93],[1,5,41],[1,6,81],[2,3,6],[2,4,22],[2,6,93],[3,5,42],[3,6,71],[3,7,80],[4,5,11],[5,6,87],[5,7,92],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,71],[0,7,80],[1,2,27],[1,3,93],[1,5,41],[1,6,81],[2,3,6],[2,4,22],[2,6,93],[3,5,42],[3,6,71],[3,7,80],[4,5,11],[5,6,87],[5,7,92],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (6,7)\",\"Add (0,5)\",\"Add (3,6)\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,71],[0,7,80],[1,2,27],[1,3,93],[1,5,41],[1,6,81],[2,3,6],[2,4,22],[2,6,93],[3,5,42],[3,6,71],[3,7,80],[4,5,11],[5,6,87],[5,7,92],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (4,5)=11, w=17\",\"Add (2,4)=22, w=39\",\"Add (1,2)=27, w=66\",\"Add (6,7)=34, w=100\",\"Add (0,5)=71, w=171\",\"Add (3,6)=71, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,71],[0,7,80],[1,2,27],[1,3,93],[1,5,41],[1,6,81],[2,3,6],[2,4,22],[2,6,93],[3,5,42],[3,6,71],[3,7,80],[4,5,11],[5,6,87],[5,7,92],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (4,5)=11 Succeeded, w=17\",\"Add (2,4)=22 Succeeded, w=39\",\"Add (1,2)=27 Succeeded, w=66\",\"Add (6,7)=34 Succeeded, w=100\",\"Add (1,5)=41 Failed, w=100\",\"Add (3,5)=42 Failed, w=100\",\"Add (0,5)=71 Succeeded, w=171\",\"Add (3,6)=71 Succeeded, w=242\",\"Add (0,7)=80 Failed, w=242\",\"Add (3,7)=80 Failed, w=242\",\"Add (1,6)=81 Failed, w=242\",\"Add (5,6)=87 Failed, w=242\",\"Add (5,7)=92 Failed, w=242\",\"Add (1,3)=93 Failed, w=242\",\"Add (2,6)=93 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,71],[0,7,80],[1,2,27],[1,3,93],[1,5,41],[1,6,81],[2,3,6],[2,4,22],[2,6,93],[3,5,42],[3,6,71],[3,7,80],[4,5,11],[5,6,87],[5,7,92],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(4,5)=11,(2,4)=22,(1,2)=27,(6,7)=34,(1,5)=41,(3,5)=42,(0,5)=71,(3,6)=71,(0,7)=80,(3,7)=80,(1,6)=81,(5,6)=87,(5,7)=92,(1,3)=93,(2,6)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=17\",\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=66\",\"Find(6)=6, Find(7)=7, Add (6,7)=34 Succeeded, w=100\",\"Find(1)=2, Find(5)=2, Add (1,5)=41 Failed, w=100\",\"Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=100\",\"Find(0)=0, Find(5)=2, Add (0,5)=71 Succeeded, w=171\",\"Find(3)=2, Find(6)=6, Add (3,6)=71 Succeeded, w=242\",\"Find(0)=2, Find(7)=2, Add (0,7)=80 Failed, w=242\",\"Find(3)=2, Find(7)=2, Add (3,7)=80 Failed, w=242\",\"Find(1)=2, Find(6)=2, Add (1,6)=81 Failed, w=242\",\"Find(5)=2, Find(6)=2, Add (5,6)=87 Failed, w=242\",\"Find(5)=2, Find(7)=2, Add (5,7)=92 Failed, w=242\",\"Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=242\",\"Find(2)=2, Find(6)=2, Add (2,6)=93 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,71],[0,7,80],[1,2,27],[1,3,93],[1,5,41],[1,6,81],[2,3,6],[2,4,22],[2,6,93],[3,5,42],[3,6,71],[3,7,80],[4,5,11],[5,6,87],[5,7,92],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(4,5)=11,(2,4)=22,(1,2)=27,(6,7)=34,(1,5)=41,(3,5)=42,(0,5)=71,(3,6)=71,(0,7)=80,(3,7)=80,(1,6)=81,(5,6)=87,(5,7)=92,(1,3)=93,(2,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=39\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=66\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=34 Succeeded, w=100\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 6}, Find(1)=2, Find(5)=2, Add (1,5)=41 Failed, w=100\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 6}, Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 6}, Find(0)=0, Find(5)=2, Add (0,5)=71 Succeeded, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(3)=2, Find(6)=6, Add (3,6)=71 Succeeded, w=242\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=80 Failed, w=242\",\"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)=80 Failed, w=242\",\"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)=81 Failed, w=242\",\"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)=87 Failed, w=242\",\"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)=92 Failed, w=242\",\"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=242\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=93 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,88],[0,3,14],[0,5,70],[0,6,5],[0,7,40],[1,4,5],[1,5,79],[1,6,96],[1,7,15],[2,5,10],[2,7,41],[3,7,40],[4,5,91],[4,6,19],[4,7,40],[5,6,40],[6,7,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,3,14],[0,5,70],[0,6,5],[0,7,40],[1,4,5],[1,5,79],[1,6,96],[1,7,15],[2,5,10],[2,7,41],[3,7,40],[4,5,91],[4,6,19],[4,7,40],[5,6,40],[6,7,9]]}",
"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\":[[0,1,88],[0,3,14],[0,5,70],[0,6,5],[0,7,40],[1,4,5],[1,5,79],[1,6,96],[1,7,15],[2,5,10],[2,7,41],[3,7,40],[4,5,91],[4,6,19],[4,7,40],[5,6,40],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,4)\",\"Add (6,7)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (5,6)\"],\"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\":[[0,1,88],[0,3,14],[0,5,70],[0,6,5],[0,7,40],[1,4,5],[1,5,79],[1,6,96],[1,7,15],[2,5,10],[2,7,41],[3,7,40],[4,5,91],[4,6,19],[4,7,40],[5,6,40],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=5, w=5\",\"Add (1,4)=5, w=10\",\"Add (6,7)=9, w=19\",\"Add (2,5)=10, w=29\",\"Add (0,3)=14, w=43\",\"Add (1,7)=15, w=58\",\"Add (5,6)=40, 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\":[[0,1,88],[0,3,14],[0,5,70],[0,6,5],[0,7,40],[1,4,5],[1,5,79],[1,6,96],[1,7,15],[2,5,10],[2,7,41],[3,7,40],[4,5,91],[4,6,19],[4,7,40],[5,6,40],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=5 Succeeded, w=5\",\"Add (1,4)=5 Succeeded, w=10\",\"Add (6,7)=9 Succeeded, w=19\",\"Add (2,5)=10 Succeeded, w=29\",\"Add (0,3)=14 Succeeded, w=43\",\"Add (1,7)=15 Succeeded, w=58\",\"Add (4,6)=19 Failed, w=58\",\"Add (0,7)=40 Failed, w=58\",\"Add (3,7)=40 Failed, w=58\",\"Add (4,7)=40 Failed, w=58\",\"Add (5,6)=40 Succeeded, w=98\",\"Add (2,7)=41 Failed, w=98\",\"Add (0,5)=70 Failed, w=98\",\"Add (1,5)=79 Failed, w=98\",\"Add (0,1)=88 Failed, w=98\",\"Add (4,5)=91 Failed, w=98\",\"Add (1,6)=96 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\":[[0,1,88],[0,3,14],[0,5,70],[0,6,5],[0,7,40],[1,4,5],[1,5,79],[1,6,96],[1,7,15],[2,5,10],[2,7,41],[3,7,40],[4,5,91],[4,6,19],[4,7,40],[5,6,40],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=5,(1,4)=5,(6,7)=9,(2,5)=10,(0,3)=14,(1,7)=15,(4,6)=19,(0,7)=40,(3,7)=40,(4,7)=40,(5,6)=40,(2,7)=41,(0,5)=70,(1,5)=79,(0,1)=88,(4,5)=91,(1,6)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=10\",\"Find(6)=0, Find(7)=7, Add (6,7)=9 Succeeded, w=19\",\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=29\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=43\",\"Find(1)=1, Find(7)=0, Add (1,7)=15 Succeeded, w=58\",\"Find(4)=1, Find(6)=1, Add (4,6)=19 Failed, w=58\",\"Find(0)=1, Find(7)=1, Add (0,7)=40 Failed, w=58\",\"Find(3)=1, Find(7)=1, Add (3,7)=40 Failed, w=58\",\"Find(4)=1, Find(7)=1, Add (4,7)=40 Failed, w=58\",\"Find(5)=2, Find(6)=1, Add (5,6)=40 Succeeded, w=98\",\"Find(2)=1, Find(7)=1, Add (2,7)=41 Failed, w=98\",\"Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=98\",\"Find(1)=1, Find(5)=1, Add (1,5)=79 Failed, w=98\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=98\",\"Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=98\",\"Find(1)=1, Find(6)=1, Add (1,6)=96 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\":[[0,1,88],[0,3,14],[0,5,70],[0,6,5],[0,7,40],[1,4,5],[1,5,79],[1,6,96],[1,7,15],[2,5,10],[2,7,41],[3,7,40],[4,5,91],[4,6,19],[4,7,40],[5,6,40],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=5,(1,4)=5,(6,7)=9,(2,5)=10,(0,3)=14,(1,7)=15,(4,6)=19,(0,7)=40,(3,7)=40,(4,7)=40,(5,6)=40,(2,7)=41,(0,5)=70,(1,5)=79,(0,1)=88,(4,5)=91,(1,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 0, 7: 0}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=15 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2, 6: 1, 7: 0}, Find(4)=1, Find(6)=1, Add (4,6)=19 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=40 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=40 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=40 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(5)=2, Find(6)=1, Add (5,6)=40 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=41 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=98\",\"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)=79 Failed, w=98\",\"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=98\",\"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)=91 Failed, w=98\",\"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)=96 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,53],[0,3,30],[1,2,96],[2,3,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,30],[1,2,96],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,30],[1,2,96],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,30],[1,2,96],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=30, w=30\",\"Add (0,1)=53, w=83\",\"Add (2,3)=75, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,30],[1,2,96],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=30 Succeeded, w=30\",\"Add (0,1)=53 Succeeded, w=83\",\"Add (2,3)=75 Succeeded, w=158\",\"Add (1,2)=96 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,30],[1,2,96],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=30,(0,1)=53,(2,3)=75,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=83\",\"Find(2)=2, Find(3)=0, Add (2,3)=75 Succeeded, w=158\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,30],[1,2,96],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=30,(0,1)=53,(2,3)=75,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=75 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,2,56],[0,3,59],[0,4,96],[1,2,64],[1,3,10],[1,4,59],[2,3,41],[2,4,66],[3,4,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,56],[0,3,59],[0,4,96],[1,2,64],[1,3,10],[1,4,59],[2,3,41],[2,4,66],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,56],[0,3,59],[0,4,96],[1,2,64],[1,3,10],[1,4,59],[2,3,41],[2,4,66],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,56],[0,3,59],[0,4,96],[1,2,64],[1,3,10],[1,4,59],[2,3,41],[2,4,66],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (1,3)=10, w=18\",\"Add (2,3)=41, w=59\",\"Add (1,4)=59, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,56],[0,3,59],[0,4,96],[1,2,64],[1,3,10],[1,4,59],[2,3,41],[2,4,66],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (1,3)=10 Succeeded, w=18\",\"Add (2,3)=41 Succeeded, w=59\",\"Add (0,2)=56 Failed, w=59\",\"Add (0,3)=59 Failed, w=59\",\"Add (1,4)=59 Succeeded, w=118\",\"Add (1,2)=64 Failed, w=118\",\"Add (2,4)=66 Failed, w=118\",\"Add (3,4)=92 Failed, w=118\",\"Add (0,4)=96 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,56],[0,3,59],[0,4,96],[1,2,64],[1,3,10],[1,4,59],[2,3,41],[2,4,66],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(1,3)=10,(2,3)=41,(0,2)=56,(0,3)=59,(1,4)=59,(1,2)=64,(2,4)=66,(3,4)=92,(0,4)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(1)=0, Find(3)=3, Add (1,3)=10 Succeeded, w=18\",\"Find(2)=2, Find(3)=0, Add (2,3)=41 Succeeded, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=59\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=59\",\"Find(1)=0, Find(4)=4, Add (1,4)=59 Succeeded, w=118\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=118\",\"Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=118\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,56],[0,3,59],[0,4,96],[1,2,64],[1,3,10],[1,4,59],[2,3,41],[2,4,66],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(1,3)=10,(2,3)=41,(0,2)=56,(0,3)=59,(1,4)=59,(1,2)=64,(2,4)=66,(3,4)=92,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=41 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=59 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[0,3,16],[1,2,69],[1,3,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,16],[1,2,69],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,16],[1,2,69],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,16],[1,2,69],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (1,3)=62, w=78\",\"Add (1,2)=69, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,16],[1,2,69],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (1,3)=62 Succeeded, w=78\",\"Add (1,2)=69 Succeeded, w=147\",\"Add (0,1)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,16],[1,2,69],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(1,3)=62,(1,2)=69,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(3)=0, Add (1,3)=62 Succeeded, w=78\",\"Find(1)=0, Find(2)=2, Add (1,2)=69 Succeeded, w=147\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,16],[1,2,69],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(1,3)=62,(1,2)=69,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=62 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=69 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,3,26],[0,4,8],[1,4,56],[1,5,62],[2,4,2],[2,5,87],[3,4,4],[3,5,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,26],[0,4,8],[1,4,56],[1,5,62],[2,4,2],[2,5,87],[3,4,4],[3,5,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,26],[0,4,8],[1,4,56],[1,5,62],[2,4,2],[2,5,87],[3,4,4],[3,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (3,5)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,26],[0,4,8],[1,4,56],[1,5,62],[2,4,2],[2,5,87],[3,4,4],[3,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (3,4)=4, w=6\",\"Add (0,4)=8, w=14\",\"Add (1,4)=56, w=70\",\"Add (3,5)=59, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,26],[0,4,8],[1,4,56],[1,5,62],[2,4,2],[2,5,87],[3,4,4],[3,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (3,4)=4 Succeeded, w=6\",\"Add (0,4)=8 Succeeded, w=14\",\"Add (0,3)=26 Failed, w=14\",\"Add (1,4)=56 Succeeded, w=70\",\"Add (3,5)=59 Succeeded, w=129\",\"Add (0,1)=60 Failed, w=129\",\"Add (1,5)=62 Failed, w=129\",\"Add (2,5)=87 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,26],[0,4,8],[1,4,56],[1,5,62],[2,4,2],[2,5,87],[3,4,4],[3,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(3,4)=4,(0,4)=8,(0,3)=26,(1,4)=56,(3,5)=59,(0,1)=60,(1,5)=62,(2,5)=87]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=2, Add (3,4)=4 Succeeded, w=6\",\"Find(0)=0, Find(4)=2, Add (0,4)=8 Succeeded, w=14\",\"Find(0)=2, Find(3)=2, Add (0,3)=26 Failed, w=14\",\"Find(1)=1, Find(4)=2, Add (1,4)=56 Succeeded, w=70\",\"Find(3)=2, Find(5)=5, Add (3,5)=59 Succeeded, w=129\",\"Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=129\",\"Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=129\",\"Find(2)=2, Find(5)=2, Add (2,5)=87 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,26],[0,4,8],[1,4,56],[1,5,62],[2,4,2],[2,5,87],[3,4,4],[3,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(3,4)=4,(0,4)=8,(0,3)=26,(1,4)=56,(3,5)=59,(0,1)=60,(1,5)=62,(2,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=3, Find(4)=2, Add (3,4)=4 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=0, Find(4)=2, Add (0,4)=8 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=2, Find(3)=2, Add (0,3)=26 Failed, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=56 Succeeded, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=59 Succeeded, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=87 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,26],[0,2,22],[0,3,23],[1,4,54],[1,6,14],[2,4,1],[2,5,99],[2,6,21],[3,5,58],[3,6,13],[4,5,57],[5,6,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,22],[0,3,23],[1,4,54],[1,6,14],[2,4,1],[2,5,99],[2,6,21],[3,5,58],[3,6,13],[4,5,57],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,22],[0,3,23],[1,4,54],[1,6,14],[2,4,1],[2,5,99],[2,6,21],[3,5,58],[3,6,13],[4,5,57],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (5,6)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,22],[0,3,23],[1,4,54],[1,6,14],[2,4,1],[2,5,99],[2,6,21],[3,5,58],[3,6,13],[4,5,57],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (3,6)=13, w=14\",\"Add (1,6)=14, w=28\",\"Add (2,6)=21, w=49\",\"Add (0,2)=22, w=71\",\"Add (5,6)=42, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,22],[0,3,23],[1,4,54],[1,6,14],[2,4,1],[2,5,99],[2,6,21],[3,5,58],[3,6,13],[4,5,57],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (3,6)=13 Succeeded, w=14\",\"Add (1,6)=14 Succeeded, w=28\",\"Add (2,6)=21 Succeeded, w=49\",\"Add (0,2)=22 Succeeded, w=71\",\"Add (0,3)=23 Failed, w=71\",\"Add (0,1)=26 Failed, w=71\",\"Add (5,6)=42 Succeeded, w=113\",\"Add (1,4)=54 Failed, w=113\",\"Add (4,5)=57 Failed, w=113\",\"Add (3,5)=58 Failed, w=113\",\"Add (2,5)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,22],[0,3,23],[1,4,54],[1,6,14],[2,4,1],[2,5,99],[2,6,21],[3,5,58],[3,6,13],[4,5,57],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(3,6)=13,(1,6)=14,(2,6)=21,(0,2)=22,(0,3)=23,(0,1)=26,(5,6)=42,(1,4)=54,(4,5)=57,(3,5)=58,(2,5)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=14\",\"Find(1)=1, Find(6)=3, Add (1,6)=14 Succeeded, w=28\",\"Find(2)=2, Find(6)=3, Add (2,6)=21 Succeeded, w=49\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=71\",\"Find(0)=2, Find(3)=2, Add (0,3)=23 Failed, w=71\",\"Find(0)=2, Find(1)=2, Add (0,1)=26 Failed, w=71\",\"Find(5)=5, Find(6)=2, Add (5,6)=42 Succeeded, w=113\",\"Find(1)=2, Find(4)=2, Add (1,4)=54 Failed, w=113\",\"Find(4)=2, Find(5)=2, Add (4,5)=57 Failed, w=113\",\"Find(3)=2, Find(5)=2, Add (3,5)=58 Failed, w=113\",\"Find(2)=2, Find(5)=2, Add (2,5)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,22],[0,3,23],[1,4,54],[1,6,14],[2,4,1],[2,5,99],[2,6,21],[3,5,58],[3,6,13],[4,5,57],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(3,6)=13,(1,6)=14,(2,6)=21,(0,2)=22,(0,3)=23,(0,1)=26,(5,6)=42,(1,4)=54,(4,5)=57,(3,5)=58,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=14\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=21 Succeeded, w=49\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=71\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3}, Find(0)=2, Find(3)=2, Add (0,3)=23 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3}, Find(0)=2, Find(1)=2, Add (0,1)=26 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=42 Succeeded, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=54 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=57 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=58 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,56],[0,3,17],[0,4,53],[1,2,74],[1,3,48],[1,4,41],[2,4,58],[3,4,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,17],[0,4,53],[1,2,74],[1,3,48],[1,4,41],[2,4,58],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,17],[0,4,53],[1,2,74],[1,3,48],[1,4,41],[2,4,58],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,17],[0,4,53],[1,2,74],[1,3,48],[1,4,41],[2,4,58],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17, w=17\",\"Add (1,4)=41, w=58\",\"Add (1,3)=48, w=106\",\"Add (2,4)=58, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,17],[0,4,53],[1,2,74],[1,3,48],[1,4,41],[2,4,58],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17 Succeeded, w=17\",\"Add (1,4)=41 Succeeded, w=58\",\"Add (1,3)=48 Succeeded, w=106\",\"Add (3,4)=49 Failed, w=106\",\"Add (0,4)=53 Failed, w=106\",\"Add (0,1)=56 Failed, w=106\",\"Add (2,4)=58 Succeeded, w=164\",\"Add (1,2)=74 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,17],[0,4,53],[1,2,74],[1,3,48],[1,4,41],[2,4,58],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(1,4)=41,(1,3)=48,(3,4)=49,(0,4)=53,(0,1)=56,(2,4)=58,(1,2)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=41 Succeeded, w=58\",\"Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=106\",\"Find(0)=1, Find(4)=1, Add (0,4)=53 Failed, w=106\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=106\",\"Find(2)=2, Find(4)=1, Add (2,4)=58 Succeeded, w=164\",\"Find(1)=1, Find(2)=1, Add (1,2)=74 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,17],[0,4,53],[1,2,74],[1,3,48],[1,4,41],[2,4,58],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(1,4)=41,(1,3)=48,(3,4)=49,(0,4)=53,(0,1)=56,(2,4)=58,(1,2)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=41 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=53 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=58 Succeeded, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=74 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,2,36],[0,3,62],[0,4,1],[1,2,50],[1,3,31],[1,4,11],[2,3,6],[2,4,73],[3,4,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,36],[0,3,62],[0,4,1],[1,2,50],[1,3,31],[1,4,11],[2,3,6],[2,4,73],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,36],[0,3,62],[0,4,1],[1,2,50],[1,3,31],[1,4,11],[2,3,6],[2,4,73],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,36],[0,3,62],[0,4,1],[1,2,50],[1,3,31],[1,4,11],[2,3,6],[2,4,73],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (2,3)=6, w=7\",\"Add (1,4)=11, w=18\",\"Add (3,4)=22, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,36],[0,3,62],[0,4,1],[1,2,50],[1,3,31],[1,4,11],[2,3,6],[2,4,73],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (2,3)=6 Succeeded, w=7\",\"Add (1,4)=11 Succeeded, w=18\",\"Add (3,4)=22 Succeeded, w=40\",\"Add (1,3)=31 Failed, w=40\",\"Add (0,2)=36 Failed, w=40\",\"Add (0,1)=49 Failed, w=40\",\"Add (1,2)=50 Failed, w=40\",\"Add (0,3)=62 Failed, w=40\",\"Add (2,4)=73 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,36],[0,3,62],[0,4,1],[1,2,50],[1,3,31],[1,4,11],[2,3,6],[2,4,73],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,3)=6,(1,4)=11,(3,4)=22,(1,3)=31,(0,2)=36,(0,1)=49,(1,2)=50,(0,3)=62,(2,4)=73]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=7\",\"Find(1)=1, Find(4)=0, Add (1,4)=11 Succeeded, w=18\",\"Find(3)=2, Find(4)=0, Add (3,4)=22 Succeeded, w=40\",\"Find(1)=2, Find(3)=2, Add (1,3)=31 Failed, w=40\",\"Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=40\",\"Find(0)=2, Find(1)=2, Add (0,1)=49 Failed, w=40\",\"Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=40\",\"Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=40\",\"Find(2)=2, Find(4)=2, Add (2,4)=73 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,36],[0,3,62],[0,4,1],[1,2,50],[1,3,31],[1,4,11],[2,3,6],[2,4,73],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,3)=6,(1,4)=11,(3,4)=22,(1,3)=31,(0,2)=36,(0,1)=49,(1,2)=50,(0,3)=62,(2,4)=73]\",\"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: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=11 Succeeded, w=18\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(3)=2, Find(4)=0, Add (3,4)=22 Succeeded, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(3)=2, Add (1,3)=31 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(1)=2, Add (0,1)=49 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=73 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,7],[0,2,55],[0,3,69],[0,4,43],[0,5,20],[1,2,46],[1,3,37],[1,4,18],[2,3,36],[2,4,98],[2,5,72],[3,4,62],[3,5,69],[4,5,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,55],[0,3,69],[0,4,43],[0,5,20],[1,2,46],[1,3,37],[1,4,18],[2,3,36],[2,4,98],[2,5,72],[3,4,62],[3,5,69],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,55],[0,3,69],[0,4,43],[0,5,20],[1,2,46],[1,3,37],[1,4,18],[2,3,36],[2,4,98],[2,5,72],[3,4,62],[3,5,69],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,55],[0,3,69],[0,4,43],[0,5,20],[1,2,46],[1,3,37],[1,4,18],[2,3,36],[2,4,98],[2,5,72],[3,4,62],[3,5,69],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (1,4)=18, w=25\",\"Add (0,5)=20, w=45\",\"Add (2,3)=36, w=81\",\"Add (1,3)=37, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,55],[0,3,69],[0,4,43],[0,5,20],[1,2,46],[1,3,37],[1,4,18],[2,3,36],[2,4,98],[2,5,72],[3,4,62],[3,5,69],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (1,4)=18 Succeeded, w=25\",\"Add (0,5)=20 Succeeded, w=45\",\"Add (2,3)=36 Succeeded, w=81\",\"Add (1,3)=37 Succeeded, w=118\",\"Add (0,4)=43 Failed, w=118\",\"Add (1,2)=46 Failed, w=118\",\"Add (0,2)=55 Failed, w=118\",\"Add (4,5)=58 Failed, w=118\",\"Add (3,4)=62 Failed, w=118\",\"Add (0,3)=69 Failed, w=118\",\"Add (3,5)=69 Failed, w=118\",\"Add (2,5)=72 Failed, w=118\",\"Add (2,4)=98 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,55],[0,3,69],[0,4,43],[0,5,20],[1,2,46],[1,3,37],[1,4,18],[2,3,36],[2,4,98],[2,5,72],[3,4,62],[3,5,69],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(1,4)=18,(0,5)=20,(2,3)=36,(1,3)=37,(0,4)=43,(1,2)=46,(0,2)=55,(4,5)=58,(3,4)=62,(0,3)=69,(3,5)=69,(2,5)=72,(2,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=25\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=45\",\"Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=81\",\"Find(1)=0, Find(3)=2, Add (1,3)=37 Succeeded, w=118\",\"Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=118\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=118\",\"Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=118\",\"Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=118\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=118\",\"Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=118\",\"Find(3)=0, Find(5)=0, Add (3,5)=69 Failed, w=118\",\"Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,55],[0,3,69],[0,4,43],[0,5,20],[1,2,46],[1,3,37],[1,4,18],[2,3,36],[2,4,98],[2,5,72],[3,4,62],[3,5,69],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(1,4)=18,(0,5)=20,(2,3)=36,(1,3)=37,(0,4)=43,(1,2)=46,(0,2)=55,(4,5)=58,(3,4)=62,(0,3)=69,(3,5)=69,(2,5)=72,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(3)=2, Add (1,3)=37 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=69 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,76],[0,2,46],[0,3,95],[0,4,70],[0,6,39],[1,2,12],[1,3,94],[1,4,60],[1,5,6],[1,6,28],[2,3,51],[2,4,76],[2,5,97],[2,6,79],[3,5,22],[3,6,97],[4,6,60],[5,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,95],[0,4,70],[0,6,39],[1,2,12],[1,3,94],[1,4,60],[1,5,6],[1,6,28],[2,3,51],[2,4,76],[2,5,97],[2,6,79],[3,5,22],[3,6,97],[4,6,60],[5,6,7]]}",
"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\":[[0,1,76],[0,2,46],[0,3,95],[0,4,70],[0,6,39],[1,2,12],[1,3,94],[1,4,60],[1,5,6],[1,6,28],[2,3,51],[2,4,76],[2,5,97],[2,6,79],[3,5,22],[3,6,97],[4,6,60],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (5,6)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (1,4)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,95],[0,4,70],[0,6,39],[1,2,12],[1,3,94],[1,4,60],[1,5,6],[1,6,28],[2,3,51],[2,4,76],[2,5,97],[2,6,79],[3,5,22],[3,6,97],[4,6,60],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6, w=6\",\"Add (5,6)=7, w=13\",\"Add (1,2)=12, w=25\",\"Add (3,5)=22, w=47\",\"Add (0,6)=39, w=86\",\"Add (1,4)=60, 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\":[[0,1,76],[0,2,46],[0,3,95],[0,4,70],[0,6,39],[1,2,12],[1,3,94],[1,4,60],[1,5,6],[1,6,28],[2,3,51],[2,4,76],[2,5,97],[2,6,79],[3,5,22],[3,6,97],[4,6,60],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6 Succeeded, w=6\",\"Add (5,6)=7 Succeeded, w=13\",\"Add (1,2)=12 Succeeded, w=25\",\"Add (3,5)=22 Succeeded, w=47\",\"Add (1,6)=28 Failed, w=47\",\"Add (0,6)=39 Succeeded, w=86\",\"Add (0,2)=46 Failed, w=86\",\"Add (2,3)=51 Failed, w=86\",\"Add (1,4)=60 Succeeded, w=146\",\"Add (4,6)=60 Failed, w=146\",\"Add (0,4)=70 Failed, w=146\",\"Add (0,1)=76 Failed, w=146\",\"Add (2,4)=76 Failed, w=146\",\"Add (2,6)=79 Failed, w=146\",\"Add (1,3)=94 Failed, w=146\",\"Add (0,3)=95 Failed, w=146\",\"Add (2,5)=97 Failed, w=146\",\"Add (3,6)=97 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,95],[0,4,70],[0,6,39],[1,2,12],[1,3,94],[1,4,60],[1,5,6],[1,6,28],[2,3,51],[2,4,76],[2,5,97],[2,6,79],[3,5,22],[3,6,97],[4,6,60],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(5,6)=7,(1,2)=12,(3,5)=22,(1,6)=28,(0,6)=39,(0,2)=46,(2,3)=51,(1,4)=60,(4,6)=60,(0,4)=70,(0,1)=76,(2,4)=76,(2,6)=79,(1,3)=94,(0,3)=95,(2,5)=97,(3,6)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Find(5)=1, Find(6)=6, Add (5,6)=7 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=25\",\"Find(3)=3, Find(5)=1, Add (3,5)=22 Succeeded, w=47\",\"Find(1)=1, Find(6)=1, Add (1,6)=28 Failed, w=47\",\"Find(0)=0, Find(6)=1, Add (0,6)=39 Succeeded, w=86\",\"Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=86\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=86\",\"Find(1)=1, Find(4)=4, Add (1,4)=60 Succeeded, w=146\",\"Find(4)=1, Find(6)=1, Add (4,6)=60 Failed, w=146\",\"Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=146\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=146\",\"Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=146\",\"Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=146\",\"Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=146\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=146\",\"Find(2)=1, Find(5)=1, Add (2,5)=97 Failed, w=146\",\"Find(3)=1, Find(6)=1, Add (3,6)=97 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,95],[0,4,70],[0,6,39],[1,2,12],[1,3,94],[1,4,60],[1,5,6],[1,6,28],[2,3,51],[2,4,76],[2,5,97],[2,6,79],[3,5,22],[3,6,97],[4,6,60],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(5,6)=7,(1,2)=12,(3,5)=22,(1,6)=28,(0,6)=39,(0,2)=46,(2,3)=51,(1,4)=60,(4,6)=60,(0,4)=70,(0,1)=76,(2,4)=76,(2,6)=79,(1,3)=94,(0,3)=95,(2,5)=97,(3,6)=97]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=3, Find(5)=1, Add (3,5)=22 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=28 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=39 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=60 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=60 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=97 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=97 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,21],[0,2,82],[0,3,98],[0,4,84],[0,7,81],[1,2,34],[1,5,13],[1,7,55],[2,3,6],[2,4,22],[2,5,66],[2,7,80],[3,4,42],[3,5,33],[3,6,64],[3,7,37],[4,6,73],[4,7,65],[5,6,38],[5,7,51],[6,7,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,82],[0,3,98],[0,4,84],[0,7,81],[1,2,34],[1,5,13],[1,7,55],[2,3,6],[2,4,22],[2,5,66],[2,7,80],[3,4,42],[3,5,33],[3,6,64],[3,7,37],[4,6,73],[4,7,65],[5,6,38],[5,7,51],[6,7,93]]}",
"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\":[[0,1,21],[0,2,82],[0,3,98],[0,4,84],[0,7,81],[1,2,34],[1,5,13],[1,7,55],[2,3,6],[2,4,22],[2,5,66],[2,7,80],[3,4,42],[3,5,33],[3,6,64],[3,7,37],[4,6,73],[4,7,65],[5,6,38],[5,7,51],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (5,6)\"],\"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\":[[0,1,21],[0,2,82],[0,3,98],[0,4,84],[0,7,81],[1,2,34],[1,5,13],[1,7,55],[2,3,6],[2,4,22],[2,5,66],[2,7,80],[3,4,42],[3,5,33],[3,6,64],[3,7,37],[4,6,73],[4,7,65],[5,6,38],[5,7,51],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (1,5)=13, w=19\",\"Add (0,1)=21, w=40\",\"Add (2,4)=22, w=62\",\"Add (3,5)=33, w=95\",\"Add (3,7)=37, w=132\",\"Add (5,6)=38, 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\":[[0,1,21],[0,2,82],[0,3,98],[0,4,84],[0,7,81],[1,2,34],[1,5,13],[1,7,55],[2,3,6],[2,4,22],[2,5,66],[2,7,80],[3,4,42],[3,5,33],[3,6,64],[3,7,37],[4,6,73],[4,7,65],[5,6,38],[5,7,51],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (1,5)=13 Succeeded, w=19\",\"Add (0,1)=21 Succeeded, w=40\",\"Add (2,4)=22 Succeeded, w=62\",\"Add (3,5)=33 Succeeded, w=95\",\"Add (1,2)=34 Failed, w=95\",\"Add (3,7)=37 Succeeded, w=132\",\"Add (5,6)=38 Succeeded, w=170\",\"Add (3,4)=42 Failed, w=170\",\"Add (5,7)=51 Failed, w=170\",\"Add (1,7)=55 Failed, w=170\",\"Add (3,6)=64 Failed, w=170\",\"Add (4,7)=65 Failed, w=170\",\"Add (2,5)=66 Failed, w=170\",\"Add (4,6)=73 Failed, w=170\",\"Add (2,7)=80 Failed, w=170\",\"Add (0,7)=81 Failed, w=170\",\"Add (0,2)=82 Failed, w=170\",\"Add (0,4)=84 Failed, w=170\",\"Add (6,7)=93 Failed, w=170\",\"Add (0,3)=98 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\":[[0,1,21],[0,2,82],[0,3,98],[0,4,84],[0,7,81],[1,2,34],[1,5,13],[1,7,55],[2,3,6],[2,4,22],[2,5,66],[2,7,80],[3,4,42],[3,5,33],[3,6,64],[3,7,37],[4,6,73],[4,7,65],[5,6,38],[5,7,51],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(1,5)=13,(0,1)=21,(2,4)=22,(3,5)=33,(1,2)=34,(3,7)=37,(5,6)=38,(3,4)=42,(5,7)=51,(1,7)=55,(3,6)=64,(4,7)=65,(2,5)=66,(4,6)=73,(2,7)=80,(0,7)=81,(0,2)=82,(0,4)=84,(6,7)=93,(0,3)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=40\",\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=62\",\"Find(3)=2, Find(5)=1, Add (3,5)=33 Succeeded, w=95\",\"Find(1)=2, Find(2)=2, Add (1,2)=34 Failed, w=95\",\"Find(3)=2, Find(7)=7, Add (3,7)=37 Succeeded, w=132\",\"Find(5)=2, Find(6)=6, Add (5,6)=38 Succeeded, w=170\",\"Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=170\",\"Find(5)=2, Find(7)=2, Add (5,7)=51 Failed, w=170\",\"Find(1)=2, Find(7)=2, Add (1,7)=55 Failed, w=170\",\"Find(3)=2, Find(6)=2, Add (3,6)=64 Failed, w=170\",\"Find(4)=2, Find(7)=2, Add (4,7)=65 Failed, w=170\",\"Find(2)=2, Find(5)=2, Add (2,5)=66 Failed, w=170\",\"Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=170\",\"Find(2)=2, Find(7)=2, Add (2,7)=80 Failed, w=170\",\"Find(0)=2, Find(7)=2, Add (0,7)=81 Failed, w=170\",\"Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=170\",\"Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=170\",\"Find(6)=2, Find(7)=2, Add (6,7)=93 Failed, w=170\",\"Find(0)=2, Find(3)=2, Add (0,3)=98 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\":[[0,1,21],[0,2,82],[0,3,98],[0,4,84],[0,7,81],[1,2,34],[1,5,13],[1,7,55],[2,3,6],[2,4,22],[2,5,66],[2,7,80],[3,4,42],[3,5,33],[3,6,64],[3,7,37],[4,6,73],[4,7,65],[5,6,38],[5,7,51],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(1,5)=13,(0,1)=21,(2,4)=22,(3,5)=33,(1,2)=34,(3,7)=37,(5,6)=38,(3,4)=42,(5,7)=51,(1,7)=55,(3,6)=64,(4,7)=65,(2,5)=66,(4,6)=73,(2,7)=80,(0,7)=81,(0,2)=82,(0,4)=84,(6,7)=93,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=62\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 7}, Find(3)=2, Find(5)=1, Add (3,5)=33 Succeeded, w=95\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 7}, Find(1)=2, Find(2)=2, Add (1,2)=34 Failed, w=95\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 2}, Find(3)=2, Find(7)=7, Add (3,7)=37 Succeeded, w=132\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=6, Add (5,6)=38 Succeeded, w=170\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=170\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=51 Failed, w=170\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=55 Failed, w=170\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=64 Failed, w=170\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=65 Failed, w=170\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=66 Failed, w=170\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=170\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=80 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=81 Failed, w=170\",\"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)=82 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=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)=93 Failed, w=170\",\"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)=98 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,3,12],[0,4,27],[0,5,42],[0,6,17],[0,7,41],[1,2,78],[1,3,27],[1,4,96],[1,5,65],[1,6,88],[1,7,60],[2,3,31],[2,4,26],[2,5,100],[2,6,81],[2,7,48],[3,6,100],[3,7,24],[4,5,38],[4,6,88],[4,7,73],[5,6,1],[5,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,3,12],[0,4,27],[0,5,42],[0,6,17],[0,7,41],[1,2,78],[1,3,27],[1,4,96],[1,5,65],[1,6,88],[1,7,60],[2,3,31],[2,4,26],[2,5,100],[2,6,81],[2,7,48],[3,6,100],[3,7,24],[4,5,38],[4,6,88],[4,7,73],[5,6,1],[5,7,53]]}",
"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\":[[0,1,76],[0,3,12],[0,4,27],[0,5,42],[0,6,17],[0,7,41],[1,2,78],[1,3,27],[1,4,96],[1,5,65],[1,6,88],[1,7,60],[2,3,31],[2,4,26],[2,5,100],[2,6,81],[2,7,48],[3,6,100],[3,7,24],[4,5,38],[4,6,88],[4,7,73],[5,6,1],[5,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (3,7)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,3)\"],\"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\":[[0,1,76],[0,3,12],[0,4,27],[0,5,42],[0,6,17],[0,7,41],[1,2,78],[1,3,27],[1,4,96],[1,5,65],[1,6,88],[1,7,60],[2,3,31],[2,4,26],[2,5,100],[2,6,81],[2,7,48],[3,6,100],[3,7,24],[4,5,38],[4,6,88],[4,7,73],[5,6,1],[5,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (0,3)=12, w=13\",\"Add (0,6)=17, w=30\",\"Add (3,7)=24, w=54\",\"Add (2,4)=26, w=80\",\"Add (0,4)=27, w=107\",\"Add (1,3)=27, 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\":[[0,1,76],[0,3,12],[0,4,27],[0,5,42],[0,6,17],[0,7,41],[1,2,78],[1,3,27],[1,4,96],[1,5,65],[1,6,88],[1,7,60],[2,3,31],[2,4,26],[2,5,100],[2,6,81],[2,7,48],[3,6,100],[3,7,24],[4,5,38],[4,6,88],[4,7,73],[5,6,1],[5,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (0,3)=12 Succeeded, w=13\",\"Add (0,6)=17 Succeeded, w=30\",\"Add (3,7)=24 Succeeded, w=54\",\"Add (2,4)=26 Succeeded, w=80\",\"Add (0,4)=27 Succeeded, w=107\",\"Add (1,3)=27 Succeeded, w=134\",\"Add (2,3)=31 Failed, w=134\",\"Add (4,5)=38 Failed, w=134\",\"Add (0,7)=41 Failed, w=134\",\"Add (0,5)=42 Failed, w=134\",\"Add (2,7)=48 Failed, w=134\",\"Add (5,7)=53 Failed, w=134\",\"Add (1,7)=60 Failed, w=134\",\"Add (1,5)=65 Failed, w=134\",\"Add (4,7)=73 Failed, w=134\",\"Add (0,1)=76 Failed, w=134\",\"Add (1,2)=78 Failed, w=134\",\"Add (2,6)=81 Failed, w=134\",\"Add (1,6)=88 Failed, w=134\",\"Add (4,6)=88 Failed, w=134\",\"Add (1,4)=96 Failed, w=134\",\"Add (2,5)=100 Failed, w=134\",\"Add (3,6)=100 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\":[[0,1,76],[0,3,12],[0,4,27],[0,5,42],[0,6,17],[0,7,41],[1,2,78],[1,3,27],[1,4,96],[1,5,65],[1,6,88],[1,7,60],[2,3,31],[2,4,26],[2,5,100],[2,6,81],[2,7,48],[3,6,100],[3,7,24],[4,5,38],[4,6,88],[4,7,73],[5,6,1],[5,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(0,3)=12,(0,6)=17,(3,7)=24,(2,4)=26,(0,4)=27,(1,3)=27,(2,3)=31,(4,5)=38,(0,7)=41,(0,5)=42,(2,7)=48,(5,7)=53,(1,7)=60,(1,5)=65,(4,7)=73,(0,1)=76,(1,2)=78,(2,6)=81,(1,6)=88,(4,6)=88,(1,4)=96,(2,5)=100,(3,6)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=13\",\"Find(0)=0, Find(6)=5, Add (0,6)=17 Succeeded, w=30\",\"Find(3)=0, Find(7)=7, Add (3,7)=24 Succeeded, w=54\",\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=80\",\"Find(0)=0, Find(4)=2, Add (0,4)=27 Succeeded, w=107\",\"Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=31 Failed, w=134\",\"Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=134\",\"Find(0)=0, Find(7)=0, Add (0,7)=41 Failed, w=134\",\"Find(0)=0, Find(5)=0, Add (0,5)=42 Failed, w=134\",\"Find(2)=0, Find(7)=0, Add (2,7)=48 Failed, w=134\",\"Find(5)=0, Find(7)=0, Add (5,7)=53 Failed, w=134\",\"Find(1)=0, Find(7)=0, Add (1,7)=60 Failed, w=134\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=134\",\"Find(4)=0, Find(7)=0, Add (4,7)=73 Failed, w=134\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=134\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=134\",\"Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=134\",\"Find(1)=0, Find(6)=0, Add (1,6)=88 Failed, w=134\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=134\",\"Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=134\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=134\",\"Find(3)=0, Find(6)=0, Add (3,6)=100 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\":[[0,1,76],[0,3,12],[0,4,27],[0,5,42],[0,6,17],[0,7,41],[1,2,78],[1,3,27],[1,4,96],[1,5,65],[1,6,88],[1,7,60],[2,3,31],[2,4,26],[2,5,100],[2,6,81],[2,7,48],[3,6,100],[3,7,24],[4,5,38],[4,6,88],[4,7,73],[5,6,1],[5,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(0,3)=12,(0,6)=17,(3,7)=24,(2,4)=26,(0,4)=27,(1,3)=27,(2,3)=31,(4,5)=38,(0,7)=41,(0,5)=42,(2,7)=48,(5,7)=53,(1,7)=60,(1,5)=65,(4,7)=73,(0,1)=76,(1,2)=78,(2,6)=81,(1,6)=88,(4,6)=88,(1,4)=96,(2,5)=100,(3,6)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(6)=5, Add (0,6)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 5, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=24 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 5, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(4)=2, Add (0,4)=27 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 5, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 5, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=31 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=41 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=42 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=48 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=53 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=60 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=73 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=134\",\"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)=81 Failed, w=134\",\"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)=88 Failed, w=134\",\"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)=88 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=134\",\"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)=100 Failed, w=134\",\"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)=100 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,62],[0,2,82],[0,3,83],[0,4,52],[1,3,20],[1,4,18],[2,4,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,82],[0,3,83],[0,4,52],[1,3,20],[1,4,18],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,82],[0,3,83],[0,4,52],[1,3,20],[1,4,18],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,82],[0,3,83],[0,4,52],[1,3,20],[1,4,18],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=18, w=18\",\"Add (1,3)=20, w=38\",\"Add (0,4)=52, w=90\",\"Add (2,4)=60, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,82],[0,3,83],[0,4,52],[1,3,20],[1,4,18],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=18 Succeeded, w=18\",\"Add (1,3)=20 Succeeded, w=38\",\"Add (0,4)=52 Succeeded, w=90\",\"Add (2,4)=60 Succeeded, w=150\",\"Add (0,1)=62 Failed, w=150\",\"Add (0,2)=82 Failed, w=150\",\"Add (0,3)=83 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,82],[0,3,83],[0,4,52],[1,3,20],[1,4,18],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=18,(1,3)=20,(0,4)=52,(2,4)=60,(0,1)=62,(0,2)=82,(0,3)=83]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=18\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=38\",\"Find(0)=0, Find(4)=1, Add (0,4)=52 Succeeded, w=90\",\"Find(2)=2, Find(4)=1, Add (2,4)=60 Succeeded, w=150\",\"Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=150\",\"Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=150\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,82],[0,3,83],[0,4,52],[1,3,20],[1,4,18],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=18,(1,3)=20,(0,4)=52,(2,4)=60,(0,1)=62,(0,2)=82,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=52 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=60 Succeeded, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,67],[0,2,97],[0,3,100],[0,4,90],[1,2,96],[1,3,45],[2,3,41],[2,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,97],[0,3,100],[0,4,90],[1,2,96],[1,3,45],[2,3,41],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,97],[0,3,100],[0,4,90],[1,2,96],[1,3,45],[2,3,41],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,97],[0,3,100],[0,4,90],[1,2,96],[1,3,45],[2,3,41],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=34, w=34\",\"Add (2,3)=41, w=75\",\"Add (1,3)=45, w=120\",\"Add (0,1)=67, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,97],[0,3,100],[0,4,90],[1,2,96],[1,3,45],[2,3,41],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=34 Succeeded, w=34\",\"Add (2,3)=41 Succeeded, w=75\",\"Add (1,3)=45 Succeeded, w=120\",\"Add (0,1)=67 Succeeded, w=187\",\"Add (0,4)=90 Failed, w=187\",\"Add (1,2)=96 Failed, w=187\",\"Add (0,2)=97 Failed, w=187\",\"Add (0,3)=100 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,97],[0,3,100],[0,4,90],[1,2,96],[1,3,45],[2,3,41],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=34,(2,3)=41,(1,3)=45,(0,1)=67,(0,4)=90,(1,2)=96,(0,2)=97,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=34\",\"Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=75\",\"Find(1)=1, Find(3)=2, Add (1,3)=45 Succeeded, w=120\",\"Find(0)=0, Find(1)=2, Add (0,1)=67 Succeeded, w=187\",\"Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=187\",\"Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=187\",\"Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=187\",\"Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,97],[0,3,100],[0,4,90],[1,2,96],[1,3,45],[2,3,41],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=34,(2,3)=41,(1,3)=45,(0,1)=67,(0,4)=90,(1,2)=96,(0,2)=97,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=75\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=45 Succeeded, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=67 Succeeded, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,20],[0,2,80],[0,3,68],[0,4,59],[0,5,28],[0,6,25],[0,7,66],[1,2,78],[1,3,4],[1,4,52],[1,5,49],[1,6,50],[1,7,2],[2,3,87],[2,4,32],[2,5,55],[2,6,80],[2,7,91],[3,4,2],[3,5,68],[3,6,42],[3,7,27],[4,5,10],[4,7,47],[5,6,85],[5,7,99],[6,7,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,80],[0,3,68],[0,4,59],[0,5,28],[0,6,25],[0,7,66],[1,2,78],[1,3,4],[1,4,52],[1,5,49],[1,6,50],[1,7,2],[2,3,87],[2,4,32],[2,5,55],[2,6,80],[2,7,91],[3,4,2],[3,5,68],[3,6,42],[3,7,27],[4,5,10],[4,7,47],[5,6,85],[5,7,99],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,80],[0,3,68],[0,4,59],[0,5,28],[0,6,25],[0,7,66],[1,2,78],[1,3,4],[1,4,52],[1,5,49],[1,6,50],[1,7,2],[2,3,87],[2,4,32],[2,5,55],[2,6,80],[2,7,91],[3,4,2],[3,5,68],[3,6,42],[3,7,27],[4,5,10],[4,7,47],[5,6,85],[5,7,99],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (2,4)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,80],[0,3,68],[0,4,59],[0,5,28],[0,6,25],[0,7,66],[1,2,78],[1,3,4],[1,4,52],[1,5,49],[1,6,50],[1,7,2],[2,3,87],[2,4,32],[2,5,55],[2,6,80],[2,7,91],[3,4,2],[3,5,68],[3,6,42],[3,7,27],[4,5,10],[4,7,47],[5,6,85],[5,7,99],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2, w=2\",\"Add (3,4)=2, w=4\",\"Add (1,3)=4, w=8\",\"Add (4,5)=10, w=18\",\"Add (0,1)=20, w=38\",\"Add (0,6)=25, w=63\",\"Add (2,4)=32, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,80],[0,3,68],[0,4,59],[0,5,28],[0,6,25],[0,7,66],[1,2,78],[1,3,4],[1,4,52],[1,5,49],[1,6,50],[1,7,2],[2,3,87],[2,4,32],[2,5,55],[2,6,80],[2,7,91],[3,4,2],[3,5,68],[3,6,42],[3,7,27],[4,5,10],[4,7,47],[5,6,85],[5,7,99],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2 Succeeded, w=2\",\"Add (3,4)=2 Succeeded, w=4\",\"Add (1,3)=4 Succeeded, w=8\",\"Add (4,5)=10 Succeeded, w=18\",\"Add (0,1)=20 Succeeded, w=38\",\"Add (0,6)=25 Succeeded, w=63\",\"Add (3,7)=27 Failed, w=63\",\"Add (0,5)=28 Failed, w=63\",\"Add (2,4)=32 Succeeded, w=95\",\"Add (3,6)=42 Failed, w=95\",\"Add (4,7)=47 Failed, w=95\",\"Add (1,5)=49 Failed, w=95\",\"Add (1,6)=50 Failed, w=95\",\"Add (1,4)=52 Failed, w=95\",\"Add (2,5)=55 Failed, w=95\",\"Add (0,4)=59 Failed, w=95\",\"Add (0,7)=66 Failed, w=95\",\"Add (0,3)=68 Failed, w=95\",\"Add (3,5)=68 Failed, w=95\",\"Add (1,2)=78 Failed, w=95\",\"Add (0,2)=80 Failed, w=95\",\"Add (2,6)=80 Failed, w=95\",\"Add (5,6)=85 Failed, w=95\",\"Add (2,3)=87 Failed, w=95\",\"Add (6,7)=89 Failed, w=95\",\"Add (2,7)=91 Failed, w=95\",\"Add (5,7)=99 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,80],[0,3,68],[0,4,59],[0,5,28],[0,6,25],[0,7,66],[1,2,78],[1,3,4],[1,4,52],[1,5,49],[1,6,50],[1,7,2],[2,3,87],[2,4,32],[2,5,55],[2,6,80],[2,7,91],[3,4,2],[3,5,68],[3,6,42],[3,7,27],[4,5,10],[4,7,47],[5,6,85],[5,7,99],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(3,4)=2,(1,3)=4,(4,5)=10,(0,1)=20,(0,6)=25,(3,7)=27,(0,5)=28,(2,4)=32,(3,6)=42,(4,7)=47,(1,5)=49,(1,6)=50,(1,4)=52,(2,5)=55,(0,4)=59,(0,7)=66,(0,3)=68,(3,5)=68,(1,2)=78,(0,2)=80,(2,6)=80,(5,6)=85,(2,3)=87,(6,7)=89,(2,7)=91,(5,7)=99]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=8\",\"Find(4)=1, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=38\",\"Find(0)=1, Find(6)=6, Add (0,6)=25 Succeeded, w=63\",\"Find(3)=1, Find(7)=1, Add (3,7)=27 Failed, w=63\",\"Find(0)=1, Find(5)=1, Add (0,5)=28 Failed, w=63\",\"Find(2)=2, Find(4)=1, Add (2,4)=32 Succeeded, w=95\",\"Find(3)=1, Find(6)=1, Add (3,6)=42 Failed, w=95\",\"Find(4)=1, Find(7)=1, Add (4,7)=47 Failed, w=95\",\"Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=95\",\"Find(1)=1, Find(6)=1, Add (1,6)=50 Failed, w=95\",\"Find(1)=1, Find(4)=1, Add (1,4)=52 Failed, w=95\",\"Find(2)=1, Find(5)=1, Add (2,5)=55 Failed, w=95\",\"Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=95\",\"Find(0)=1, Find(7)=1, Add (0,7)=66 Failed, w=95\",\"Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=95\",\"Find(3)=1, Find(5)=1, Add (3,5)=68 Failed, w=95\",\"Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=95\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=95\",\"Find(2)=1, Find(6)=1, Add (2,6)=80 Failed, w=95\",\"Find(5)=1, Find(6)=1, Add (5,6)=85 Failed, w=95\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=95\",\"Find(6)=1, Find(7)=1, Add (6,7)=89 Failed, w=95\",\"Find(2)=1, Find(7)=1, Add (2,7)=91 Failed, w=95\",\"Find(5)=1, Find(7)=1, Add (5,7)=99 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,80],[0,3,68],[0,4,59],[0,5,28],[0,6,25],[0,7,66],[1,2,78],[1,3,4],[1,4,52],[1,5,49],[1,6,50],[1,7,2],[2,3,87],[2,4,32],[2,5,55],[2,6,80],[2,7,91],[3,4,2],[3,5,68],[3,6,42],[3,7,27],[4,5,10],[4,7,47],[5,6,85],[5,7,99],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(3,4)=2,(1,3)=4,(4,5)=10,(0,1)=20,(0,6)=25,(3,7)=27,(0,5)=28,(2,4)=32,(3,6)=42,(4,7)=47,(1,5)=49,(1,6)=50,(1,4)=52,(2,5)=55,(0,4)=59,(0,7)=66,(0,3)=68,(3,5)=68,(1,2)=78,(0,2)=80,(2,6)=80,(5,6)=85,(2,3)=87,(6,7)=89,(2,7)=91,(5,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 1}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 3, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=6, Add (0,6)=25 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=27 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=28 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(4)=1, Add (2,4)=32 Succeeded, w=95\",\"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)=42 Failed, w=95\",\"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)=47 Failed, w=95\",\"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)=49 Failed, w=95\",\"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)=50 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=52 Failed, w=95\",\"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)=55 Failed, w=95\",\"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)=59 Failed, w=95\",\"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)=66 Failed, w=95\",\"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)=68 Failed, w=95\",\"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)=68 Failed, w=95\",\"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)=78 Failed, w=95\",\"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)=80 Failed, w=95\",\"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)=80 Failed, w=95\",\"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=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=95\",\"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)=89 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=91 Failed, w=95\",\"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)=99 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,93],[0,3,82],[0,4,93],[1,2,19],[1,3,95],[2,3,27],[2,4,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,93],[0,3,82],[0,4,93],[1,2,19],[1,3,95],[2,3,27],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,93],[0,3,82],[0,4,93],[1,2,19],[1,3,95],[2,3,27],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,93],[0,3,82],[0,4,93],[1,2,19],[1,3,95],[2,3,27],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19, w=19\",\"Add (2,3)=27, w=46\",\"Add (2,4)=71, w=117\",\"Add (0,1)=80, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,93],[0,3,82],[0,4,93],[1,2,19],[1,3,95],[2,3,27],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19 Succeeded, w=19\",\"Add (2,3)=27 Succeeded, w=46\",\"Add (2,4)=71 Succeeded, w=117\",\"Add (0,1)=80 Succeeded, w=197\",\"Add (0,3)=82 Failed, w=197\",\"Add (0,2)=93 Failed, w=197\",\"Add (0,4)=93 Failed, w=197\",\"Add (1,3)=95 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,93],[0,3,82],[0,4,93],[1,2,19],[1,3,95],[2,3,27],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(2,3)=27,(2,4)=71,(0,1)=80,(0,3)=82,(0,2)=93,(0,4)=93,(1,3)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=46\",\"Find(2)=1, Find(4)=4, Add (2,4)=71 Succeeded, w=117\",\"Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=197\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=197\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=197\",\"Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=197\",\"Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,93],[0,3,82],[0,4,93],[1,2,19],[1,3,95],[2,3,27],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(2,3)=27,(2,4)=71,(0,1)=80,(0,3)=82,(0,2)=93,(0,4)=93,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=71 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,22],[1,4,4],[2,3,57],[2,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[1,4,4],[2,3,57],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[1,4,4],[2,3,57],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[1,4,4],[2,3,57],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (0,2)=22, w=26\",\"Add (2,4)=53, w=79\",\"Add (2,3)=57, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[1,4,4],[2,3,57],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (0,2)=22 Succeeded, w=26\",\"Add (2,4)=53 Succeeded, w=79\",\"Add (2,3)=57 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[1,4,4],[2,3,57],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,2)=22,(2,4)=53,(2,3)=57]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=26\",\"Find(2)=0, Find(4)=1, Add (2,4)=53 Succeeded, w=79\",\"Find(2)=0, Find(3)=3, Add (2,3)=57 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[1,4,4],[2,3,57],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,2)=22,(2,4)=53,(2,3)=57]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(2)=0, Find(4)=1, Add (2,4)=53 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=3, Add (2,3)=57 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,5],[0,2,46],[0,3,82],[1,2,4],[2,3,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,46],[0,3,82],[1,2,4],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,46],[0,3,82],[1,2,4],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,46],[0,3,82],[1,2,4],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,1)=5, w=9\",\"Add (2,3)=27, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,46],[0,3,82],[1,2,4],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,1)=5 Succeeded, w=9\",\"Add (2,3)=27 Succeeded, w=36\",\"Add (0,2)=46 Failed, w=36\",\"Add (0,3)=82 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,46],[0,3,82],[1,2,4],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,1)=5,(2,3)=27,(0,2)=46,(0,3)=82]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=36\",\"Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=36\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,46],[0,3,82],[1,2,4],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,1)=5,(2,3)=27,(0,2)=46,(0,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,7],[0,3,76],[1,2,12],[1,5,30],[2,5,59],[3,4,83],[3,5,75],[4,5,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,3,76],[1,2,12],[1,5,30],[2,5,59],[3,4,83],[3,5,75],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,3,76],[1,2,12],[1,5,30],[2,5,59],[3,4,83],[3,5,75],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (3,5)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,3,76],[1,2,12],[1,5,30],[2,5,59],[3,4,83],[3,5,75],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (1,2)=12, w=19\",\"Add (4,5)=27, w=46\",\"Add (1,5)=30, w=76\",\"Add (3,5)=75, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,3,76],[1,2,12],[1,5,30],[2,5,59],[3,4,83],[3,5,75],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (1,2)=12 Succeeded, w=19\",\"Add (4,5)=27 Succeeded, w=46\",\"Add (1,5)=30 Succeeded, w=76\",\"Add (2,5)=59 Failed, w=76\",\"Add (3,5)=75 Succeeded, w=151\",\"Add (0,3)=76 Failed, w=151\",\"Add (3,4)=83 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,3,76],[1,2,12],[1,5,30],[2,5,59],[3,4,83],[3,5,75],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(1,2)=12,(4,5)=27,(1,5)=30,(2,5)=59,(3,5)=75,(0,3)=76,(3,4)=83]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(1)=0, Find(2)=2, Add (1,2)=12 Succeeded, w=19\",\"Find(4)=4, Find(5)=5, Add (4,5)=27 Succeeded, w=46\",\"Find(1)=0, Find(5)=4, Add (1,5)=30 Succeeded, w=76\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=76\",\"Find(3)=3, Find(5)=0, Add (3,5)=75 Succeeded, w=151\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=151\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,3,76],[1,2,12],[1,5,30],[2,5,59],[3,4,83],[3,5,75],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(1,2)=12,(4,5)=27,(1,5)=30,(2,5)=59,(3,5)=75,(0,3)=76,(3,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(1)=0, Find(2)=2, Add (1,2)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=27 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4}, Find(1)=0, Find(5)=4, Add (1,5)=30 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=75 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,23],[0,3,91],[0,4,85],[0,6,41],[1,3,52],[1,4,63],[1,5,38],[2,4,25],[2,5,59],[3,5,40],[4,5,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,91],[0,4,85],[0,6,41],[1,3,52],[1,4,63],[1,5,38],[2,4,25],[2,5,59],[3,5,40],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,91],[0,4,85],[0,6,41],[1,3,52],[1,4,63],[1,5,38],[2,4,25],[2,5,59],[3,5,40],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (2,5)\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,91],[0,4,85],[0,6,41],[1,3,52],[1,4,63],[1,5,38],[2,4,25],[2,5,59],[3,5,40],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=23, w=23\",\"Add (2,4)=25, w=48\",\"Add (1,5)=38, w=86\",\"Add (3,5)=40, w=126\",\"Add (0,6)=41, w=167\",\"Add (2,5)=59, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,91],[0,4,85],[0,6,41],[1,3,52],[1,4,63],[1,5,38],[2,4,25],[2,5,59],[3,5,40],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=23 Succeeded, w=23\",\"Add (2,4)=25 Succeeded, w=48\",\"Add (1,5)=38 Succeeded, w=86\",\"Add (3,5)=40 Succeeded, w=126\",\"Add (0,6)=41 Succeeded, w=167\",\"Add (1,3)=52 Failed, w=167\",\"Add (2,5)=59 Succeeded, w=226\",\"Add (1,4)=63 Failed, w=226\",\"Add (0,4)=85 Failed, w=226\",\"Add (4,5)=90 Failed, w=226\",\"Add (0,3)=91 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,91],[0,4,85],[0,6,41],[1,3,52],[1,4,63],[1,5,38],[2,4,25],[2,5,59],[3,5,40],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=23,(2,4)=25,(1,5)=38,(3,5)=40,(0,6)=41,(1,3)=52,(2,5)=59,(1,4)=63,(0,4)=85,(4,5)=90,(0,3)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Find(2)=0, Find(4)=4, Add (2,4)=25 Succeeded, w=48\",\"Find(1)=1, Find(5)=5, Add (1,5)=38 Succeeded, w=86\",\"Find(3)=3, Find(5)=1, Add (3,5)=40 Succeeded, w=126\",\"Find(0)=0, Find(6)=6, Add (0,6)=41 Succeeded, w=167\",\"Find(1)=1, Find(3)=1, Add (1,3)=52 Failed, w=167\",\"Find(2)=0, Find(5)=1, Add (2,5)=59 Succeeded, w=226\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=226\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=226\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=226\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,91],[0,4,85],[0,6,41],[1,3,52],[1,4,63],[1,5,38],[2,4,25],[2,5,59],[3,5,40],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=23,(2,4)=25,(1,5)=38,(3,5)=40,(0,6)=41,(1,3)=52,(2,5)=59,(1,4)=63,(0,4)=85,(4,5)=90,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(2)=0, Find(4)=4, Add (2,4)=25 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=38 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 6}, Find(3)=3, Find(5)=1, Add (3,5)=40 Succeeded, w=126\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=41 Succeeded, w=167\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(1)=1, Find(3)=1, Add (1,3)=52 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(2)=0, Find(5)=1, Add (2,5)=59 Succeeded, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,9],[0,2,90],[0,3,65],[1,2,28],[1,3,49],[2,3,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,90],[0,3,65],[1,2,28],[1,3,49],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,90],[0,3,65],[1,2,28],[1,3,49],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,90],[0,3,65],[1,2,28],[1,3,49],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (1,2)=28, w=37\",\"Add (2,3)=46, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,90],[0,3,65],[1,2,28],[1,3,49],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (1,2)=28 Succeeded, w=37\",\"Add (2,3)=46 Succeeded, w=83\",\"Add (1,3)=49 Failed, w=83\",\"Add (0,3)=65 Failed, w=83\",\"Add (0,2)=90 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,90],[0,3,65],[1,2,28],[1,3,49],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(1,2)=28,(2,3)=46,(1,3)=49,(0,3)=65,(0,2)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(1)=0, Find(2)=2, Add (1,2)=28 Succeeded, w=37\",\"Find(2)=0, Find(3)=3, Add (2,3)=46 Succeeded, w=83\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=83\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=83\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,90],[0,3,65],[1,2,28],[1,3,49],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(1,2)=28,(2,3)=46,(1,3)=49,(0,3)=65,(0,2)=90]\",\"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(1)=0, Find(2)=2, Add (1,2)=28 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=46 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,41],[0,4,47],[0,5,64],[0,6,84],[1,2,35],[1,4,3],[1,6,31],[3,4,96],[4,6,48],[5,6,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,47],[0,5,64],[0,6,84],[1,2,35],[1,4,3],[1,6,31],[3,4,96],[4,6,48],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,47],[0,5,64],[0,6,84],[1,2,35],[1,4,3],[1,6,31],[3,4,96],[4,6,48],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (5,6)\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,47],[0,5,64],[0,6,84],[1,2,35],[1,4,3],[1,6,31],[3,4,96],[4,6,48],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (1,6)=31, w=34\",\"Add (1,2)=35, w=69\",\"Add (0,3)=41, w=110\",\"Add (0,4)=47, w=157\",\"Add (5,6)=59, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,47],[0,5,64],[0,6,84],[1,2,35],[1,4,3],[1,6,31],[3,4,96],[4,6,48],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (1,6)=31 Succeeded, w=34\",\"Add (1,2)=35 Succeeded, w=69\",\"Add (0,3)=41 Succeeded, w=110\",\"Add (0,4)=47 Succeeded, w=157\",\"Add (4,6)=48 Failed, w=157\",\"Add (5,6)=59 Succeeded, w=216\",\"Add (0,5)=64 Failed, w=216\",\"Add (0,6)=84 Failed, w=216\",\"Add (3,4)=96 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,47],[0,5,64],[0,6,84],[1,2,35],[1,4,3],[1,6,31],[3,4,96],[4,6,48],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,6)=31,(1,2)=35,(0,3)=41,(0,4)=47,(4,6)=48,(5,6)=59,(0,5)=64,(0,6)=84,(3,4)=96]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(6)=6, Add (1,6)=31 Succeeded, w=34\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=69\",\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=110\",\"Find(0)=0, Find(4)=1, Add (0,4)=47 Succeeded, w=157\",\"Find(4)=0, Find(6)=0, Add (4,6)=48 Failed, w=157\",\"Find(5)=5, Find(6)=0, Add (5,6)=59 Succeeded, w=216\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=216\",\"Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=216\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,47],[0,5,64],[0,6,84],[1,2,35],[1,4,3],[1,6,31],[3,4,96],[4,6,48],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,6)=31,(1,2)=35,(0,3)=41,(0,4)=47,(4,6)=48,(5,6)=59,(0,5)=64,(0,6)=84,(3,4)=96]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=31 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=47 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=48 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=59 Succeeded, w=216\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=216\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=216\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,14],[0,4,73],[0,5,39],[1,2,22],[1,3,92],[1,4,59],[1,5,18],[2,3,69],[2,4,8],[2,5,40],[3,4,42],[4,5,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[0,4,73],[0,5,39],[1,2,22],[1,3,92],[1,4,59],[1,5,18],[2,3,69],[2,4,8],[2,5,40],[3,4,42],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[0,4,73],[0,5,39],[1,2,22],[1,3,92],[1,4,59],[1,5,18],[2,3,69],[2,4,8],[2,5,40],[3,4,42],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (0,5)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[0,4,73],[0,5,39],[1,2,22],[1,3,92],[1,4,59],[1,5,18],[2,3,69],[2,4,8],[2,5,40],[3,4,42],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8, w=8\",\"Add (0,3)=14, w=22\",\"Add (1,5)=18, w=40\",\"Add (1,2)=22, w=62\",\"Add (0,5)=39, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[0,4,73],[0,5,39],[1,2,22],[1,3,92],[1,4,59],[1,5,18],[2,3,69],[2,4,8],[2,5,40],[3,4,42],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8 Succeeded, w=8\",\"Add (0,3)=14 Succeeded, w=22\",\"Add (1,5)=18 Succeeded, w=40\",\"Add (1,2)=22 Succeeded, w=62\",\"Add (0,5)=39 Succeeded, w=101\",\"Add (2,5)=40 Failed, w=101\",\"Add (3,4)=42 Failed, w=101\",\"Add (1,4)=59 Failed, w=101\",\"Add (2,3)=69 Failed, w=101\",\"Add (0,4)=73 Failed, w=101\",\"Add (4,5)=91 Failed, w=101\",\"Add (1,3)=92 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[0,4,73],[0,5,39],[1,2,22],[1,3,92],[1,4,59],[1,5,18],[2,3,69],[2,4,8],[2,5,40],[3,4,42],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(0,3)=14,(1,5)=18,(1,2)=22,(0,5)=39,(2,5)=40,(3,4)=42,(1,4)=59,(2,3)=69,(0,4)=73,(4,5)=91,(1,3)=92]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=22\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=40\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=62\",\"Find(0)=0, Find(5)=1, Add (0,5)=39 Succeeded, w=101\",\"Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=101\",\"Find(3)=1, Find(4)=1, Add (3,4)=42 Failed, w=101\",\"Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=101\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=101\",\"Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=101\",\"Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=101\",\"Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,14],[0,4,73],[0,5,39],[1,2,22],[1,3,92],[1,4,59],[1,5,18],[2,3,69],[2,4,8],[2,5,40],[3,4,42],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(0,3)=14,(1,5)=18,(1,2)=22,(0,5)=39,(2,5)=40,(3,4)=42,(1,4)=59,(2,3)=69,(0,4)=73,(4,5)=91,(1,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 2, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 2, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=39 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 2, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=42 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,21],[0,2,16],[0,4,76],[1,2,24],[1,3,66],[2,3,82],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,16],[0,4,76],[1,2,24],[1,3,66],[2,3,82],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,16],[0,4,76],[1,2,24],[1,3,66],[2,3,82],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,16],[0,4,76],[1,2,24],[1,3,66],[2,3,82],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16, w=16\",\"Add (0,1)=21, w=37\",\"Add (1,3)=66, w=103\",\"Add (0,4)=76, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,16],[0,4,76],[1,2,24],[1,3,66],[2,3,82],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16 Succeeded, w=16\",\"Add (0,1)=21 Succeeded, w=37\",\"Add (1,2)=24 Failed, w=37\",\"Add (1,3)=66 Succeeded, w=103\",\"Add (0,4)=76 Succeeded, w=179\",\"Add (2,3)=82 Failed, w=179\",\"Add (3,4)=94 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,16],[0,4,76],[1,2,24],[1,3,66],[2,3,82],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(0,1)=21,(1,2)=24,(1,3)=66,(0,4)=76,(2,3)=82,(3,4)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=37\",\"Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=37\",\"Find(1)=0, Find(3)=3, Add (1,3)=66 Succeeded, w=103\",\"Find(0)=0, Find(4)=4, Add (0,4)=76 Succeeded, w=179\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=179\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,16],[0,4,76],[1,2,24],[1,3,66],[2,3,82],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(0,1)=21,(1,2)=24,(1,3)=66,(0,4)=76,(2,3)=82,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=66 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=76 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,0],[0,2,84],[0,5,13],[1,2,68],[1,4,82],[1,5,19],[1,6,37],[2,4,72],[2,5,97],[3,4,4],[4,5,66],[4,6,35],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,84],[0,5,13],[1,2,68],[1,4,82],[1,5,19],[1,6,37],[2,4,72],[2,5,97],[3,4,4],[4,5,66],[4,6,35],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,84],[0,5,13],[1,2,68],[1,4,82],[1,5,19],[1,6,37],[2,4,72],[2,5,97],[3,4,4],[4,5,66],[4,6,35],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (1,2)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,84],[0,5,13],[1,2,68],[1,4,82],[1,5,19],[1,6,37],[2,4,72],[2,5,97],[3,4,4],[4,5,66],[4,6,35],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (3,4)=4, w=4\",\"Add (0,5)=13, w=17\",\"Add (4,6)=35, w=52\",\"Add (1,6)=37, w=89\",\"Add (1,2)=68, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,84],[0,5,13],[1,2,68],[1,4,82],[1,5,19],[1,6,37],[2,4,72],[2,5,97],[3,4,4],[4,5,66],[4,6,35],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (3,4)=4 Succeeded, w=4\",\"Add (0,5)=13 Succeeded, w=17\",\"Add (1,5)=19 Failed, w=17\",\"Add (4,6)=35 Succeeded, w=52\",\"Add (1,6)=37 Succeeded, w=89\",\"Add (4,5)=66 Failed, w=89\",\"Add (1,2)=68 Succeeded, w=157\",\"Add (2,4)=72 Failed, w=157\",\"Add (1,4)=82 Failed, w=157\",\"Add (0,2)=84 Failed, w=157\",\"Add (5,6)=85 Failed, w=157\",\"Add (2,5)=97 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,84],[0,5,13],[1,2,68],[1,4,82],[1,5,19],[1,6,37],[2,4,72],[2,5,97],[3,4,4],[4,5,66],[4,6,35],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(3,4)=4,(0,5)=13,(1,5)=19,(4,6)=35,(1,6)=37,(4,5)=66,(1,2)=68,(2,4)=72,(1,4)=82,(0,2)=84,(5,6)=85,(2,5)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=17\",\"Find(1)=0, Find(5)=0, Add (1,5)=19 Failed, w=17\",\"Find(4)=3, Find(6)=6, Add (4,6)=35 Succeeded, w=52\",\"Find(1)=0, Find(6)=3, Add (1,6)=37 Succeeded, w=89\",\"Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=89\",\"Find(1)=0, Find(2)=2, Add (1,2)=68 Succeeded, w=157\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=157\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=157\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=157\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=157\",\"Find(2)=0, Find(5)=0, Add (2,5)=97 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,0],[0,2,84],[0,5,13],[1,2,68],[1,4,82],[1,5,19],[1,6,37],[2,4,72],[2,5,97],[3,4,4],[4,5,66],[4,6,35],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(3,4)=4,(0,5)=13,(1,5)=19,(4,6)=35,(1,6)=37,(4,5)=66,(1,2)=68,(2,4)=72,(1,4)=82,(0,2)=84,(5,6)=85,(2,5)=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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=19 Failed, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=35 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0, 6: 3}, Find(1)=0, Find(6)=3, Add (1,6)=37 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 3}, Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(2)=2, Add (1,2)=68 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=97 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,50],[0,3,95],[0,5,77],[0,6,22],[1,3,61],[1,4,78],[1,5,23],[2,3,73],[2,5,30],[3,4,86],[3,5,7],[3,6,28],[4,5,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,95],[0,5,77],[0,6,22],[1,3,61],[1,4,78],[1,5,23],[2,3,73],[2,5,30],[3,4,86],[3,5,7],[3,6,28],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,95],[0,5,77],[0,6,22],[1,3,61],[1,4,78],[1,5,23],[2,3,73],[2,5,30],[3,4,86],[3,5,7],[3,6,28],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (4,5)\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,95],[0,5,77],[0,6,22],[1,3,61],[1,4,78],[1,5,23],[2,3,73],[2,5,30],[3,4,86],[3,5,7],[3,6,28],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=7, w=7\",\"Add (0,6)=22, w=29\",\"Add (1,5)=23, w=52\",\"Add (3,6)=28, w=80\",\"Add (2,5)=30, w=110\",\"Add (4,5)=74, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,95],[0,5,77],[0,6,22],[1,3,61],[1,4,78],[1,5,23],[2,3,73],[2,5,30],[3,4,86],[3,5,7],[3,6,28],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=7 Succeeded, w=7\",\"Add (0,6)=22 Succeeded, w=29\",\"Add (1,5)=23 Succeeded, w=52\",\"Add (3,6)=28 Succeeded, w=80\",\"Add (2,5)=30 Succeeded, w=110\",\"Add (0,2)=50 Failed, w=110\",\"Add (1,3)=61 Failed, w=110\",\"Add (2,3)=73 Failed, w=110\",\"Add (4,5)=74 Succeeded, w=184\",\"Add (0,5)=77 Failed, w=184\",\"Add (1,4)=78 Failed, w=184\",\"Add (3,4)=86 Failed, w=184\",\"Add (0,3)=95 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,95],[0,5,77],[0,6,22],[1,3,61],[1,4,78],[1,5,23],[2,3,73],[2,5,30],[3,4,86],[3,5,7],[3,6,28],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=7,(0,6)=22,(1,5)=23,(3,6)=28,(2,5)=30,(0,2)=50,(1,3)=61,(2,3)=73,(4,5)=74,(0,5)=77,(1,4)=78,(3,4)=86,(0,3)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=29\",\"Find(1)=1, Find(5)=3, Add (1,5)=23 Succeeded, w=52\",\"Find(3)=3, Find(6)=0, Add (3,6)=28 Succeeded, w=80\",\"Find(2)=2, Find(5)=3, Add (2,5)=30 Succeeded, w=110\",\"Find(0)=3, Find(2)=3, Add (0,2)=50 Failed, w=110\",\"Find(1)=3, Find(3)=3, Add (1,3)=61 Failed, w=110\",\"Find(2)=3, Find(3)=3, Add (2,3)=73 Failed, w=110\",\"Find(4)=4, Find(5)=3, Add (4,5)=74 Succeeded, w=184\",\"Find(0)=3, Find(5)=3, Add (0,5)=77 Failed, w=184\",\"Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=184\",\"Find(3)=3, Find(4)=3, Add (3,4)=86 Failed, w=184\",\"Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,95],[0,5,77],[0,6,22],[1,3,61],[1,4,78],[1,5,23],[2,3,73],[2,5,30],[3,4,86],[3,5,7],[3,6,28],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=7,(0,6)=22,(1,5)=23,(3,6)=28,(2,5)=30,(0,2)=50,(1,3)=61,(2,3)=73,(4,5)=74,(0,5)=77,(1,4)=78,(3,4)=86,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=29\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0}, Find(1)=1, Find(5)=3, Add (1,5)=23 Succeeded, w=52\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=28 Succeeded, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 0}, Find(2)=2, Find(5)=3, Add (2,5)=30 Succeeded, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 0}, Find(0)=3, Find(2)=3, Add (0,2)=50 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 0}, Find(1)=3, Find(3)=3, Add (1,3)=61 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 0}, Find(2)=3, Find(3)=3, Add (2,3)=73 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(4)=4, Find(5)=3, Add (4,5)=74 Succeeded, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=3, Find(5)=3, Add (0,5)=77 Failed, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(3)=3, Find(4)=3, Add (3,4)=86 Failed, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,91],[0,3,68],[1,3,73],[1,4,45],[1,5,26],[1,6,94],[1,7,35],[2,3,21],[2,6,56],[2,7,24],[3,4,50],[3,5,56],[3,6,59],[4,6,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,68],[1,3,73],[1,4,45],[1,5,26],[1,6,94],[1,7,35],[2,3,21],[2,6,56],[2,7,24],[3,4,50],[3,5,56],[3,6,59],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,68],[1,3,73],[1,4,45],[1,5,26],[1,6,94],[1,7,35],[2,3,21],[2,6,56],[2,7,24],[3,4,50],[3,5,56],[3,6,59],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,7)\",\"Add (1,5)\",\"Add (1,7)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,68],[1,3,73],[1,4,45],[1,5,26],[1,6,94],[1,7,35],[2,3,21],[2,6,56],[2,7,24],[3,4,50],[3,5,56],[3,6,59],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21, w=21\",\"Add (2,7)=24, w=45\",\"Add (1,5)=26, w=71\",\"Add (1,7)=35, w=106\",\"Add (4,6)=44, w=150\",\"Add (1,4)=45, w=195\",\"Add (0,3)=68, w=263\"],\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,68],[1,3,73],[1,4,45],[1,5,26],[1,6,94],[1,7,35],[2,3,21],[2,6,56],[2,7,24],[3,4,50],[3,5,56],[3,6,59],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21 Succeeded, w=21\",\"Add (2,7)=24 Succeeded, w=45\",\"Add (1,5)=26 Succeeded, w=71\",\"Add (1,7)=35 Succeeded, w=106\",\"Add (4,6)=44 Succeeded, w=150\",\"Add (1,4)=45 Succeeded, w=195\",\"Add (3,4)=50 Failed, w=195\",\"Add (2,6)=56 Failed, w=195\",\"Add (3,5)=56 Failed, w=195\",\"Add (3,6)=59 Failed, w=195\",\"Add (0,3)=68 Succeeded, w=263\",\"Add (1,3)=73 Failed, w=263\",\"Add (0,2)=91 Failed, w=263\",\"Add (1,6)=94 Failed, w=263\"],\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,68],[1,3,73],[1,4,45],[1,5,26],[1,6,94],[1,7,35],[2,3,21],[2,6,56],[2,7,24],[3,4,50],[3,5,56],[3,6,59],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(2,7)=24,(1,5)=26,(1,7)=35,(4,6)=44,(1,4)=45,(3,4)=50,(2,6)=56,(3,5)=56,(3,6)=59,(0,3)=68,(1,3)=73,(0,2)=91,(1,6)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Find(2)=2, Find(7)=7, Add (2,7)=24 Succeeded, w=45\",\"Find(1)=1, Find(5)=5, Add (1,5)=26 Succeeded, w=71\",\"Find(1)=1, Find(7)=2, Add (1,7)=35 Succeeded, w=106\",\"Find(4)=4, Find(6)=6, Add (4,6)=44 Succeeded, w=150\",\"Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=195\",\"Find(3)=1, Find(4)=1, Add (3,4)=50 Failed, w=195\",\"Find(2)=1, Find(6)=1, Add (2,6)=56 Failed, w=195\",\"Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=195\",\"Find(3)=1, Find(6)=1, Add (3,6)=59 Failed, w=195\",\"Find(0)=0, Find(3)=1, Add (0,3)=68 Succeeded, w=263\",\"Find(1)=1, Find(3)=1, Add (1,3)=73 Failed, w=263\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=263\",\"Find(1)=1, Find(6)=1, Add (1,6)=94 Failed, w=263\"],\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,68],[1,3,73],[1,4,45],[1,5,26],[1,6,94],[1,7,35],[2,3,21],[2,6,56],[2,7,24],[3,4,50],[3,5,56],[3,6,59],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(2,7)=24,(1,5)=26,(1,7)=35,(4,6)=44,(1,4)=45,(3,4)=50,(2,6)=56,(3,5)=56,(3,6)=59,(0,3)=68,(1,3)=73,(0,2)=91,(1,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=24 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6, 7: 2}, Find(1)=1, Find(5)=5, Add (1,5)=26 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 4, 5: 1, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=35 Succeeded, w=106\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 4, 5: 1, 6: 4, 7: 2}, Find(4)=4, Find(6)=6, Add (4,6)=44 Succeeded, w=150\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 4, 7: 2}, Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=195\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 2}, Find(3)=1, Find(4)=1, Add (3,4)=50 Failed, w=195\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(6)=1, Add (2,6)=56 Failed, w=195\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=195\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(6)=1, Add (3,6)=59 Failed, w=195\",\"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)=68 Succeeded, w=263\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(1)=1, Find(3)=1, Add (1,3)=73 Failed, w=263\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=263\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(1)=1, Find(6)=1, Add (1,6)=94 Failed, w=263\"],\"Answer\":263}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,26],[0,5,19],[1,2,70],[1,3,19],[2,3,37],[2,5,32],[2,6,8],[3,4,80],[3,5,7],[3,6,99],[4,5,72],[5,6,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,5,19],[1,2,70],[1,3,19],[2,3,37],[2,5,32],[2,6,8],[3,4,80],[3,5,7],[3,6,99],[4,5,72],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,5,19],[1,2,70],[1,3,19],[2,3,37],[2,5,32],[2,6,8],[3,4,80],[3,5,7],[3,6,99],[4,5,72],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (4,5)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,5,19],[1,2,70],[1,3,19],[2,3,37],[2,5,32],[2,6,8],[3,4,80],[3,5,7],[3,6,99],[4,5,72],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=7, w=7\",\"Add (2,6)=8, w=15\",\"Add (0,5)=19, w=34\",\"Add (1,3)=19, w=53\",\"Add (2,5)=32, w=85\",\"Add (4,5)=72, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,5,19],[1,2,70],[1,3,19],[2,3,37],[2,5,32],[2,6,8],[3,4,80],[3,5,7],[3,6,99],[4,5,72],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=7 Succeeded, w=7\",\"Add (2,6)=8 Succeeded, w=15\",\"Add (0,5)=19 Succeeded, w=34\",\"Add (1,3)=19 Succeeded, w=53\",\"Add (0,3)=26 Failed, w=53\",\"Add (2,5)=32 Succeeded, w=85\",\"Add (2,3)=37 Failed, w=85\",\"Add (1,2)=70 Failed, w=85\",\"Add (4,5)=72 Succeeded, w=157\",\"Add (3,4)=80 Failed, w=157\",\"Add (5,6)=92 Failed, w=157\",\"Add (3,6)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,5,19],[1,2,70],[1,3,19],[2,3,37],[2,5,32],[2,6,8],[3,4,80],[3,5,7],[3,6,99],[4,5,72],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=7,(2,6)=8,(0,5)=19,(1,3)=19,(0,3)=26,(2,5)=32,(2,3)=37,(1,2)=70,(4,5)=72,(3,4)=80,(5,6)=92,(3,6)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=15\",\"Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=34\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=53\",\"Find(0)=3, Find(3)=3, Add (0,3)=26 Failed, w=53\",\"Find(2)=2, Find(5)=3, Add (2,5)=32 Succeeded, w=85\",\"Find(2)=2, Find(3)=2, Add (2,3)=37 Failed, w=85\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=85\",\"Find(4)=4, Find(5)=2, Add (4,5)=72 Succeeded, w=157\",\"Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=157\",\"Find(5)=2, Find(6)=2, Add (5,6)=92 Failed, w=157\",\"Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,5,19],[1,2,70],[1,3,19],[2,3,37],[2,5,32],[2,6,8],[3,4,80],[3,5,7],[3,6,99],[4,5,72],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=7,(2,6)=8,(0,5)=19,(1,3)=19,(0,3)=26,(2,5)=32,(2,3)=37,(1,2)=70,(4,5)=72,(3,4)=80,(5,6)=92,(3,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=15\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=34\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=53\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(0)=3, Find(3)=3, Add (0,3)=26 Failed, w=53\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 2, 4: 4, 5: 3, 6: 2}, Find(2)=2, Find(5)=3, Add (2,5)=32 Succeeded, w=85\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 2, 4: 4, 5: 3, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=37 Failed, w=85\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 4, 5: 3, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=85\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=4, Find(5)=2, Add (4,5)=72 Succeeded, w=157\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=157\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=92 Failed, w=157\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,32],[0,2,38],[0,3,64],[0,4,15],[0,5,78],[1,3,5],[1,5,54],[2,3,49],[2,4,3],[2,5,10],[3,4,87],[3,5,15],[4,5,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,38],[0,3,64],[0,4,15],[0,5,78],[1,3,5],[1,5,54],[2,3,49],[2,4,3],[2,5,10],[3,4,87],[3,5,15],[4,5,7]]}",
"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\":[[0,1,32],[0,2,38],[0,3,64],[0,4,15],[0,5,78],[1,3,5],[1,5,54],[2,3,49],[2,4,3],[2,5,10],[3,4,87],[3,5,15],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,38],[0,3,64],[0,4,15],[0,5,78],[1,3,5],[1,5,54],[2,3,49],[2,4,3],[2,5,10],[3,4,87],[3,5,15],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (1,3)=5, w=8\",\"Add (4,5)=7, w=15\",\"Add (0,4)=15, w=30\",\"Add (3,5)=15, 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\":[[0,1,32],[0,2,38],[0,3,64],[0,4,15],[0,5,78],[1,3,5],[1,5,54],[2,3,49],[2,4,3],[2,5,10],[3,4,87],[3,5,15],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (1,3)=5 Succeeded, w=8\",\"Add (4,5)=7 Succeeded, w=15\",\"Add (2,5)=10 Failed, w=15\",\"Add (0,4)=15 Succeeded, w=30\",\"Add (3,5)=15 Succeeded, w=45\",\"Add (0,1)=32 Failed, w=45\",\"Add (0,2)=38 Failed, w=45\",\"Add (2,3)=49 Failed, w=45\",\"Add (1,5)=54 Failed, w=45\",\"Add (0,3)=64 Failed, w=45\",\"Add (0,5)=78 Failed, w=45\",\"Add (3,4)=87 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\":[[0,1,32],[0,2,38],[0,3,64],[0,4,15],[0,5,78],[1,3,5],[1,5,54],[2,3,49],[2,4,3],[2,5,10],[3,4,87],[3,5,15],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(1,3)=5,(4,5)=7,(2,5)=10,(0,4)=15,(3,5)=15,(0,1)=32,(0,2)=38,(2,3)=49,(1,5)=54,(0,3)=64,(0,5)=78,(3,4)=87]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=8\",\"Find(4)=2, Find(5)=5, Add (4,5)=7 Succeeded, w=15\",\"Find(2)=2, Find(5)=2, Add (2,5)=10 Failed, w=15\",\"Find(0)=0, Find(4)=2, Add (0,4)=15 Succeeded, w=30\",\"Find(3)=1, Find(5)=2, Add (3,5)=15 Succeeded, w=45\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=45\",\"Find(0)=1, Find(2)=1, Add (0,2)=38 Failed, w=45\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=45\",\"Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=45\",\"Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=45\",\"Find(0)=1, Find(5)=1, Add (0,5)=78 Failed, w=45\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 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\":[[0,1,32],[0,2,38],[0,3,64],[0,4,15],[0,5,78],[1,3,5],[1,5,54],[2,3,49],[2,4,3],[2,5,10],[3,4,87],[3,5,15],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(1,3)=5,(4,5)=7,(2,5)=10,(0,4)=15,(3,5)=15,(0,1)=32,(0,2)=38,(2,3)=49,(1,5)=54,(0,3)=64,(0,5)=78,(3,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=10 Failed, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=15 Succeeded, w=30\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(3)=1, Find(5)=2, Add (3,5)=15 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(0)=1, Find(2)=1, Add (0,2)=38 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=78 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,59],[0,2,42],[2,3,29],[3,4,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,42],[2,3,29],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,42],[2,3,29],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,42],[2,3,29],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=29, w=29\",\"Add (0,2)=42, w=71\",\"Add (0,1)=59, w=130\",\"Add (3,4)=89, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,42],[2,3,29],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=29 Succeeded, w=29\",\"Add (0,2)=42 Succeeded, w=71\",\"Add (0,1)=59 Succeeded, w=130\",\"Add (3,4)=89 Succeeded, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,42],[2,3,29],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=29,(0,2)=42,(0,1)=59,(3,4)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=71\",\"Find(0)=2, Find(1)=1, Add (0,1)=59 Succeeded, w=130\",\"Find(3)=2, Find(4)=4, Add (3,4)=89 Succeeded, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,42],[2,3,29],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=29,(0,2)=42,(0,1)=59,(3,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(1)=1, Add (0,1)=59 Succeeded, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=89 Succeeded, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,3,83],[1,3,21],[2,3,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,83],[1,3,21],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,83],[1,3,21],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,83],[1,3,21],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (1,3)=21, w=22\",\"Add (0,1)=49, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,83],[1,3,21],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (1,3)=21 Succeeded, w=22\",\"Add (0,1)=49 Succeeded, w=71\",\"Add (0,3)=83 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,83],[1,3,21],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,3)=21,(0,1)=49,(0,3)=83]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=2, Add (1,3)=21 Succeeded, w=22\",\"Find(0)=0, Find(1)=2, Add (0,1)=49 Succeeded, w=71\",\"Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,83],[1,3,21],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,3)=21,(0,1)=49,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=21 Succeeded, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=49 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,40],[0,3,36],[2,3,53],[2,6,29],[3,6,54],[4,5,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,40],[0,3,36],[2,3,53],[2,6,29],[3,6,54],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,40],[0,3,36],[2,3,53],[2,6,29],[3,6,54],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,40],[0,3,36],[2,3,53],[2,6,29],[3,6,54],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=29, w=29\",\"Add (0,3)=36, w=65\",\"Add (4,5)=36, w=101\",\"Add (0,2)=40, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,40],[0,3,36],[2,3,53],[2,6,29],[3,6,54],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=29 Succeeded, w=29\",\"Add (0,3)=36 Succeeded, w=65\",\"Add (4,5)=36 Succeeded, w=101\",\"Add (0,2)=40 Succeeded, w=141\",\"Add (2,3)=53 Failed, w=141\",\"Add (3,6)=54 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,40],[0,3,36],[2,3,53],[2,6,29],[3,6,54],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=29,(0,3)=36,(4,5)=36,(0,2)=40,(2,3)=53,(3,6)=54]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=29 Succeeded, w=29\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=65\",\"Find(4)=4, Find(5)=5, Add (4,5)=36 Succeeded, w=101\",\"Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=141\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=141\",\"Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,40],[0,3,36],[2,3,53],[2,6,29],[3,6,54],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=29,(0,3)=36,(4,5)=36,(0,2)=40,(2,3)=53,(3,6)=54]\",\"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)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 2}, Find(4)=4, Find(5)=5, Add (4,5)=36 Succeeded, w=101\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=141\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 2}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=141\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,94],[0,3,85],[0,4,1],[0,5,88],[0,6,18],[1,2,29],[1,3,41],[1,4,92],[1,5,41],[1,6,21],[2,3,61],[2,4,27],[2,5,27],[2,6,62],[3,4,43],[3,5,50],[3,6,66],[4,5,59],[4,6,44],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,94],[0,3,85],[0,4,1],[0,5,88],[0,6,18],[1,2,29],[1,3,41],[1,4,92],[1,5,41],[1,6,21],[2,3,61],[2,4,27],[2,5,27],[2,6,62],[3,4,43],[3,5,50],[3,6,66],[4,5,59],[4,6,44],[5,6,37]]}",
"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\":[[0,2,94],[0,3,85],[0,4,1],[0,5,88],[0,6,18],[1,2,29],[1,3,41],[1,4,92],[1,5,41],[1,6,21],[2,3,61],[2,4,27],[2,5,27],[2,6,62],[3,4,43],[3,5,50],[3,6,66],[4,5,59],[4,6,44],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,6)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,94],[0,3,85],[0,4,1],[0,5,88],[0,6,18],[1,2,29],[1,3,41],[1,4,92],[1,5,41],[1,6,21],[2,3,61],[2,4,27],[2,5,27],[2,6,62],[3,4,43],[3,5,50],[3,6,66],[4,5,59],[4,6,44],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (0,6)=18, w=19\",\"Add (1,6)=21, w=40\",\"Add (2,4)=27, w=67\",\"Add (2,5)=27, w=94\",\"Add (1,3)=41, 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\":[[0,2,94],[0,3,85],[0,4,1],[0,5,88],[0,6,18],[1,2,29],[1,3,41],[1,4,92],[1,5,41],[1,6,21],[2,3,61],[2,4,27],[2,5,27],[2,6,62],[3,4,43],[3,5,50],[3,6,66],[4,5,59],[4,6,44],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (0,6)=18 Succeeded, w=19\",\"Add (1,6)=21 Succeeded, w=40\",\"Add (2,4)=27 Succeeded, w=67\",\"Add (2,5)=27 Succeeded, w=94\",\"Add (1,2)=29 Failed, w=94\",\"Add (5,6)=37 Failed, w=94\",\"Add (1,3)=41 Succeeded, w=135\",\"Add (1,5)=41 Failed, w=135\",\"Add (3,4)=43 Failed, w=135\",\"Add (4,6)=44 Failed, w=135\",\"Add (3,5)=50 Failed, w=135\",\"Add (4,5)=59 Failed, w=135\",\"Add (2,3)=61 Failed, w=135\",\"Add (2,6)=62 Failed, w=135\",\"Add (3,6)=66 Failed, w=135\",\"Add (0,3)=85 Failed, w=135\",\"Add (0,5)=88 Failed, w=135\",\"Add (1,4)=92 Failed, w=135\",\"Add (0,2)=94 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\":[[0,2,94],[0,3,85],[0,4,1],[0,5,88],[0,6,18],[1,2,29],[1,3,41],[1,4,92],[1,5,41],[1,6,21],[2,3,61],[2,4,27],[2,5,27],[2,6,62],[3,4,43],[3,5,50],[3,6,66],[4,5,59],[4,6,44],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,6)=18,(1,6)=21,(2,4)=27,(2,5)=27,(1,2)=29,(5,6)=37,(1,3)=41,(1,5)=41,(3,4)=43,(4,6)=44,(3,5)=50,(4,5)=59,(2,3)=61,(2,6)=62,(3,6)=66,(0,3)=85,(0,5)=88,(1,4)=92,(0,2)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=19\",\"Find(1)=1, Find(6)=0, Add (1,6)=21 Succeeded, w=40\",\"Find(2)=2, Find(4)=0, Add (2,4)=27 Succeeded, w=67\",\"Find(2)=0, Find(5)=5, Add (2,5)=27 Succeeded, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=94\",\"Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=94\",\"Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=135\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=135\",\"Find(4)=0, Find(6)=0, Add (4,6)=44 Failed, w=135\",\"Find(3)=0, Find(5)=0, Add (3,5)=50 Failed, w=135\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=61 Failed, w=135\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=135\",\"Find(3)=0, Find(6)=0, Add (3,6)=66 Failed, w=135\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=135\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 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\":[[0,2,94],[0,3,85],[0,4,1],[0,5,88],[0,6,18],[1,2,29],[1,3,41],[1,4,92],[1,5,41],[1,6,21],[2,3,61],[2,4,27],[2,5,27],[2,6,62],[3,4,43],[3,5,50],[3,6,66],[4,5,59],[4,6,44],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,6)=18,(1,6)=21,(2,4)=27,(2,5)=27,(1,2)=29,(5,6)=37,(1,3)=41,(1,5)=41,(3,4)=43,(4,6)=44,(3,5)=50,(4,5)=59,(2,3)=61,(2,6)=62,(3,6)=66,(0,3)=85,(0,5)=88,(1,4)=92,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=27 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=27 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=44 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=50 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=61 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=66 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,14],[0,3,45],[0,5,24],[0,7,63],[1,3,67],[1,4,87],[1,5,38],[2,3,96],[2,4,24],[2,5,24],[2,6,49],[2,7,92],[3,4,100],[3,7,0],[4,5,97],[4,6,45],[4,7,18],[5,7,99],[6,7,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,45],[0,5,24],[0,7,63],[1,3,67],[1,4,87],[1,5,38],[2,3,96],[2,4,24],[2,5,24],[2,6,49],[2,7,92],[3,4,100],[3,7,0],[4,5,97],[4,6,45],[4,7,18],[5,7,99],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,45],[0,5,24],[0,7,63],[1,3,67],[1,4,87],[1,5,38],[2,3,96],[2,4,24],[2,5,24],[2,6,49],[2,7,92],[3,4,100],[3,7,0],[4,5,97],[4,6,45],[4,7,18],[5,7,99],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (6,7)\",\"Add (1,5)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,45],[0,5,24],[0,7,63],[1,3,67],[1,4,87],[1,5,38],[2,3,96],[2,4,24],[2,5,24],[2,6,49],[2,7,92],[3,4,100],[3,7,0],[4,5,97],[4,6,45],[4,7,18],[5,7,99],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0, w=0\",\"Add (0,2)=14, w=14\",\"Add (4,7)=18, w=32\",\"Add (0,5)=24, w=56\",\"Add (2,4)=24, w=80\",\"Add (6,7)=26, w=106\",\"Add (1,5)=38, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,45],[0,5,24],[0,7,63],[1,3,67],[1,4,87],[1,5,38],[2,3,96],[2,4,24],[2,5,24],[2,6,49],[2,7,92],[3,4,100],[3,7,0],[4,5,97],[4,6,45],[4,7,18],[5,7,99],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0 Succeeded, w=0\",\"Add (0,2)=14 Succeeded, w=14\",\"Add (4,7)=18 Succeeded, w=32\",\"Add (0,5)=24 Succeeded, w=56\",\"Add (2,4)=24 Succeeded, w=80\",\"Add (2,5)=24 Failed, w=80\",\"Add (6,7)=26 Succeeded, w=106\",\"Add (1,5)=38 Succeeded, w=144\",\"Add (0,3)=45 Failed, w=144\",\"Add (4,6)=45 Failed, w=144\",\"Add (2,6)=49 Failed, w=144\",\"Add (0,7)=63 Failed, w=144\",\"Add (1,3)=67 Failed, w=144\",\"Add (1,4)=87 Failed, w=144\",\"Add (2,7)=92 Failed, w=144\",\"Add (2,3)=96 Failed, w=144\",\"Add (4,5)=97 Failed, w=144\",\"Add (5,7)=99 Failed, w=144\",\"Add (3,4)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,45],[0,5,24],[0,7,63],[1,3,67],[1,4,87],[1,5,38],[2,3,96],[2,4,24],[2,5,24],[2,6,49],[2,7,92],[3,4,100],[3,7,0],[4,5,97],[4,6,45],[4,7,18],[5,7,99],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(0,2)=14,(4,7)=18,(0,5)=24,(2,4)=24,(2,5)=24,(6,7)=26,(1,5)=38,(0,3)=45,(4,6)=45,(2,6)=49,(0,7)=63,(1,3)=67,(1,4)=87,(2,7)=92,(2,3)=96,(4,5)=97,(5,7)=99,(3,4)=100]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(4)=4, Find(7)=3, Add (4,7)=18 Succeeded, w=32\",\"Find(0)=0, Find(5)=5, Add (0,5)=24 Succeeded, w=56\",\"Find(2)=0, Find(4)=3, Add (2,4)=24 Succeeded, w=80\",\"Find(2)=0, Find(5)=0, Add (2,5)=24 Failed, w=80\",\"Find(6)=6, Find(7)=0, Add (6,7)=26 Succeeded, w=106\",\"Find(1)=1, Find(5)=0, Add (1,5)=38 Succeeded, w=144\",\"Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=144\",\"Find(4)=0, Find(6)=0, Add (4,6)=45 Failed, w=144\",\"Find(2)=0, Find(6)=0, Add (2,6)=49 Failed, w=144\",\"Find(0)=0, Find(7)=0, Add (0,7)=63 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=144\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=144\",\"Find(2)=0, Find(7)=0, Add (2,7)=92 Failed, w=144\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=144\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=144\",\"Find(5)=0, Find(7)=0, Add (5,7)=99 Failed, w=144\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,45],[0,5,24],[0,7,63],[1,3,67],[1,4,87],[1,5,38],[2,3,96],[2,4,24],[2,5,24],[2,6,49],[2,7,92],[3,4,100],[3,7,0],[4,5,97],[4,6,45],[4,7,18],[5,7,99],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(0,2)=14,(4,7)=18,(0,5)=24,(2,4)=24,(2,5)=24,(6,7)=26,(1,5)=38,(0,3)=45,(4,6)=45,(2,6)=49,(0,7)=63,(1,3)=67,(1,4)=87,(2,7)=92,(2,3)=96,(4,5)=97,(5,7)=99,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(5)=5, Add (0,5)=24 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6, 7: 3}, Find(2)=0, Find(4)=3, Add (2,4)=24 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6, 7: 3}, Find(2)=0, Find(5)=0, Add (2,5)=24 Failed, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=26 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(5)=0, Add (1,5)=38 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=144\",\"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)=45 Failed, w=144\",\"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)=49 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=63 Failed, w=144\",\"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)=67 Failed, w=144\",\"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)=87 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=92 Failed, w=144\",\"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)=96 Failed, w=144\",\"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)=97 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=99 Failed, w=144\",\"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)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,20],[0,2,64],[0,3,90],[0,5,58],[1,2,96],[1,3,89],[1,5,53],[1,6,3],[1,7,92],[2,5,49],[2,7,30],[3,6,30],[3,7,0],[4,5,16],[5,7,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,64],[0,3,90],[0,5,58],[1,2,96],[1,3,89],[1,5,53],[1,6,3],[1,7,92],[2,5,49],[2,7,30],[3,6,30],[3,7,0],[4,5,16],[5,7,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,64],[0,3,90],[0,5,58],[1,2,96],[1,3,89],[1,5,53],[1,6,3],[1,7,92],[2,5,49],[2,7,30],[3,6,30],[3,7,0],[4,5,16],[5,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (5,7)\",\"Add (2,7)\",\"Add (3,6)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,64],[0,3,90],[0,5,58],[1,2,96],[1,3,89],[1,5,53],[1,6,3],[1,7,92],[2,5,49],[2,7,30],[3,6,30],[3,7,0],[4,5,16],[5,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0, w=0\",\"Add (1,6)=3, w=3\",\"Add (4,5)=16, w=19\",\"Add (0,1)=20, w=39\",\"Add (5,7)=23, w=62\",\"Add (2,7)=30, w=92\",\"Add (3,6)=30, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,64],[0,3,90],[0,5,58],[1,2,96],[1,3,89],[1,5,53],[1,6,3],[1,7,92],[2,5,49],[2,7,30],[3,6,30],[3,7,0],[4,5,16],[5,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0 Succeeded, w=0\",\"Add (1,6)=3 Succeeded, w=3\",\"Add (4,5)=16 Succeeded, w=19\",\"Add (0,1)=20 Succeeded, w=39\",\"Add (5,7)=23 Succeeded, w=62\",\"Add (2,7)=30 Succeeded, w=92\",\"Add (3,6)=30 Succeeded, w=122\",\"Add (2,5)=49 Failed, w=122\",\"Add (1,5)=53 Failed, w=122\",\"Add (0,5)=58 Failed, w=122\",\"Add (0,2)=64 Failed, w=122\",\"Add (1,3)=89 Failed, w=122\",\"Add (0,3)=90 Failed, w=122\",\"Add (1,7)=92 Failed, w=122\",\"Add (1,2)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,64],[0,3,90],[0,5,58],[1,2,96],[1,3,89],[1,5,53],[1,6,3],[1,7,92],[2,5,49],[2,7,30],[3,6,30],[3,7,0],[4,5,16],[5,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(1,6)=3,(4,5)=16,(0,1)=20,(5,7)=23,(2,7)=30,(3,6)=30,(2,5)=49,(1,5)=53,(0,5)=58,(0,2)=64,(1,3)=89,(0,3)=90,(1,7)=92,(1,2)=96]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=39\",\"Find(5)=4, Find(7)=3, Add (5,7)=23 Succeeded, w=62\",\"Find(2)=2, Find(7)=4, Add (2,7)=30 Succeeded, w=92\",\"Find(3)=4, Find(6)=1, Add (3,6)=30 Succeeded, w=122\",\"Find(2)=4, Find(5)=4, Add (2,5)=49 Failed, w=122\",\"Find(1)=4, Find(5)=4, Add (1,5)=53 Failed, w=122\",\"Find(0)=4, Find(5)=4, Add (0,5)=58 Failed, w=122\",\"Find(0)=4, Find(2)=4, Add (0,2)=64 Failed, w=122\",\"Find(1)=4, Find(3)=4, Add (1,3)=89 Failed, w=122\",\"Find(0)=4, Find(3)=4, Add (0,3)=90 Failed, w=122\",\"Find(1)=4, Find(7)=4, Add (1,7)=92 Failed, w=122\",\"Find(1)=4, Find(2)=4, Add (1,2)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,64],[0,3,90],[0,5,58],[1,2,96],[1,3,89],[1,5,53],[1,6,3],[1,7,92],[2,5,49],[2,7,30],[3,6,30],[3,7,0],[4,5,16],[5,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(1,6)=3,(4,5)=16,(0,1)=20,(5,7)=23,(2,7)=30,(3,6)=30,(2,5)=49,(1,5)=53,(0,5)=58,(0,2)=64,(1,3)=89,(0,3)=90,(1,7)=92,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 3}, Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1, 7: 3}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 1, 7: 3}, Find(5)=4, Find(7)=3, Add (5,7)=23 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=30 Succeeded, w=92\",\"Parent: {0: 1, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(3)=4, Find(6)=1, Add (3,6)=30 Succeeded, w=122\",\"Parent: {0: 1, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=49 Failed, w=122\",\"Parent: {0: 1, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=53 Failed, w=122\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=58 Failed, w=122\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=64 Failed, w=122\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=89 Failed, w=122\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=90 Failed, w=122\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=92 Failed, w=122\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,97],[0,3,85],[1,2,67],[1,3,71],[1,4,34],[2,3,23],[2,4,86],[3,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,3,85],[1,2,67],[1,3,71],[1,4,34],[2,3,23],[2,4,86],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,3,85],[1,2,67],[1,3,71],[1,4,34],[2,3,23],[2,4,86],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,3,85],[1,2,67],[1,3,71],[1,4,34],[2,3,23],[2,4,86],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23, w=23\",\"Add (1,4)=34, w=57\",\"Add (3,4)=59, w=116\",\"Add (0,3)=85, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,3,85],[1,2,67],[1,3,71],[1,4,34],[2,3,23],[2,4,86],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23 Succeeded, w=23\",\"Add (1,4)=34 Succeeded, w=57\",\"Add (3,4)=59 Succeeded, w=116\",\"Add (1,2)=67 Failed, w=116\",\"Add (1,3)=71 Failed, w=116\",\"Add (0,3)=85 Succeeded, w=201\",\"Add (2,4)=86 Failed, w=201\",\"Add (0,1)=97 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,3,85],[1,2,67],[1,3,71],[1,4,34],[2,3,23],[2,4,86],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(1,4)=34,(3,4)=59,(1,2)=67,(1,3)=71,(0,3)=85,(2,4)=86,(0,1)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Find(1)=1, Find(4)=4, Add (1,4)=34 Succeeded, w=57\",\"Find(3)=2, Find(4)=1, Add (3,4)=59 Succeeded, w=116\",\"Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=116\",\"Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=116\",\"Find(0)=0, Find(3)=2, Add (0,3)=85 Succeeded, w=201\",\"Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=201\",\"Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,3,85],[1,2,67],[1,3,71],[1,4,34],[2,3,23],[2,4,86],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(1,4)=34,(3,4)=59,(1,2)=67,(1,3)=71,(0,3)=85,(2,4)=86,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=34 Succeeded, w=57\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1}, Find(3)=2, Find(4)=1, Add (3,4)=59 Succeeded, w=116\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=116\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(3)=2, Add (0,3)=85 Succeeded, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,74],[0,2,7],[0,3,59],[0,4,60],[0,5,78],[0,6,100],[0,7,62],[1,2,31],[1,3,93],[1,6,60],[1,7,65],[2,3,88],[2,4,50],[2,5,81],[2,6,95],[3,4,76],[3,5,21],[3,7,86],[4,5,77],[4,7,32],[5,7,11],[6,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,7],[0,3,59],[0,4,60],[0,5,78],[0,6,100],[0,7,62],[1,2,31],[1,3,93],[1,6,60],[1,7,65],[2,3,88],[2,4,50],[2,5,81],[2,6,95],[3,4,76],[3,5,21],[3,7,86],[4,5,77],[4,7,32],[5,7,11],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,7],[0,3,59],[0,4,60],[0,5,78],[0,6,100],[0,7,62],[1,2,31],[1,3,93],[1,6,60],[1,7,65],[2,3,88],[2,4,50],[2,5,81],[2,6,95],[3,4,76],[3,5,21],[3,7,86],[4,5,77],[4,7,32],[5,7,11],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (5,7)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (4,7)\",\"Add (6,7)\",\"Add (2,4)\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,7],[0,3,59],[0,4,60],[0,5,78],[0,6,100],[0,7,62],[1,2,31],[1,3,93],[1,6,60],[1,7,65],[2,3,88],[2,4,50],[2,5,81],[2,6,95],[3,4,76],[3,5,21],[3,7,86],[4,5,77],[4,7,32],[5,7,11],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (5,7)=11, w=18\",\"Add (3,5)=21, w=39\",\"Add (1,2)=31, w=70\",\"Add (4,7)=32, w=102\",\"Add (6,7)=47, w=149\",\"Add (2,4)=50, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,7],[0,3,59],[0,4,60],[0,5,78],[0,6,100],[0,7,62],[1,2,31],[1,3,93],[1,6,60],[1,7,65],[2,3,88],[2,4,50],[2,5,81],[2,6,95],[3,4,76],[3,5,21],[3,7,86],[4,5,77],[4,7,32],[5,7,11],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (5,7)=11 Succeeded, w=18\",\"Add (3,5)=21 Succeeded, w=39\",\"Add (1,2)=31 Succeeded, w=70\",\"Add (4,7)=32 Succeeded, w=102\",\"Add (6,7)=47 Succeeded, w=149\",\"Add (2,4)=50 Succeeded, w=199\",\"Add (0,3)=59 Failed, w=199\",\"Add (0,4)=60 Failed, w=199\",\"Add (1,6)=60 Failed, w=199\",\"Add (0,7)=62 Failed, w=199\",\"Add (1,7)=65 Failed, w=199\",\"Add (0,1)=74 Failed, w=199\",\"Add (3,4)=76 Failed, w=199\",\"Add (4,5)=77 Failed, w=199\",\"Add (0,5)=78 Failed, w=199\",\"Add (2,5)=81 Failed, w=199\",\"Add (3,7)=86 Failed, w=199\",\"Add (2,3)=88 Failed, w=199\",\"Add (1,3)=93 Failed, w=199\",\"Add (2,6)=95 Failed, w=199\",\"Add (0,6)=100 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,7],[0,3,59],[0,4,60],[0,5,78],[0,6,100],[0,7,62],[1,2,31],[1,3,93],[1,6,60],[1,7,65],[2,3,88],[2,4,50],[2,5,81],[2,6,95],[3,4,76],[3,5,21],[3,7,86],[4,5,77],[4,7,32],[5,7,11],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(5,7)=11,(3,5)=21,(1,2)=31,(4,7)=32,(6,7)=47,(2,4)=50,(0,3)=59,(0,4)=60,(1,6)=60,(0,7)=62,(1,7)=65,(0,1)=74,(3,4)=76,(4,5)=77,(0,5)=78,(2,5)=81,(3,7)=86,(2,3)=88,(1,3)=93,(2,6)=95,(0,6)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=18\",\"Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=39\",\"Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=70\",\"Find(4)=4, Find(7)=5, Add (4,7)=32 Succeeded, w=102\",\"Find(6)=6, Find(7)=5, Add (6,7)=47 Succeeded, w=149\",\"Find(2)=0, Find(4)=5, Add (2,4)=50 Succeeded, w=199\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=199\",\"Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=199\",\"Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=199\",\"Find(0)=0, Find(7)=0, Add (0,7)=62 Failed, w=199\",\"Find(1)=0, Find(7)=0, Add (1,7)=65 Failed, w=199\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=199\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=199\",\"Find(4)=0, Find(5)=0, Add (4,5)=77 Failed, w=199\",\"Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=199\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=199\",\"Find(3)=0, Find(7)=0, Add (3,7)=86 Failed, w=199\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=199\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=199\",\"Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=199\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,7],[0,3,59],[0,4,60],[0,5,78],[0,6,100],[0,7,62],[1,2,31],[1,3,93],[1,6,60],[1,7,65],[2,3,88],[2,4,50],[2,5,81],[2,6,95],[3,4,76],[3,5,21],[3,7,86],[4,5,77],[4,7,32],[5,7,11],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(5,7)=11,(3,5)=21,(1,2)=31,(4,7)=32,(6,7)=47,(2,4)=50,(0,3)=59,(0,4)=60,(1,6)=60,(0,7)=62,(1,7)=65,(0,1)=74,(3,4)=76,(4,5)=77,(0,5)=78,(2,5)=81,(3,7)=86,(2,3)=88,(1,3)=93,(2,6)=95,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 5, 4: 4, 5: 5, 6: 6, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 5, 5: 5, 6: 6, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=32 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=6, Find(7)=5, Add (6,7)=47 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 5, 5: 0, 6: 5, 7: 5}, Find(2)=0, Find(4)=5, Add (2,4)=50 Succeeded, w=199\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=199\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=199\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=199\",\"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)=62 Failed, w=199\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=65 Failed, w=199\",\"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)=74 Failed, w=199\",\"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)=76 Failed, w=199\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=77 Failed, w=199\",\"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)=78 Failed, w=199\",\"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)=81 Failed, w=199\",\"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)=86 Failed, w=199\",\"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)=88 Failed, w=199\",\"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)=93 Failed, w=199\",\"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)=95 Failed, w=199\",\"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)=100 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,99],[0,2,64],[1,2,38],[1,3,78],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,64],[1,2,38],[1,3,78],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,64],[1,2,38],[1,3,78],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,64],[1,2,38],[1,3,78],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=38, w=38\",\"Add (0,2)=64, w=102\",\"Add (2,3)=69, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,64],[1,2,38],[1,3,78],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=38 Succeeded, w=38\",\"Add (0,2)=64 Succeeded, w=102\",\"Add (2,3)=69 Succeeded, w=171\",\"Add (1,3)=78 Failed, w=171\",\"Add (0,1)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,64],[1,2,38],[1,3,78],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=38,(0,2)=64,(2,3)=69,(1,3)=78,(0,1)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=38\",\"Find(0)=0, Find(2)=1, Add (0,2)=64 Succeeded, w=102\",\"Find(2)=1, Find(3)=3, Add (2,3)=69 Succeeded, w=171\",\"Find(1)=1, Find(3)=1, Add (1,3)=78 Failed, w=171\",\"Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,64],[1,2,38],[1,3,78],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=38,(0,2)=64,(2,3)=69,(1,3)=78,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=64 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=69 Succeeded, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=78 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,37],[0,4,57],[1,3,62],[2,4,22],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,37],[0,4,57],[1,3,62],[2,4,22],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,37],[0,4,57],[1,3,62],[2,4,22],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,37],[0,4,57],[1,3,62],[2,4,22],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=22, w=22\",\"Add (3,4)=27, w=49\",\"Add (0,2)=37, w=86\",\"Add (1,3)=62, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,37],[0,4,57],[1,3,62],[2,4,22],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=22 Succeeded, w=22\",\"Add (3,4)=27 Succeeded, w=49\",\"Add (0,2)=37 Succeeded, w=86\",\"Add (0,4)=57 Failed, w=86\",\"Add (1,3)=62 Succeeded, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,37],[0,4,57],[1,3,62],[2,4,22],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=22,(3,4)=27,(0,2)=37,(0,4)=57,(1,3)=62]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=22\",\"Find(3)=3, Find(4)=2, Add (3,4)=27 Succeeded, w=49\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=86\",\"Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=86\",\"Find(1)=1, Find(3)=2, Add (1,3)=62 Succeeded, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,37],[0,4,57],[1,3,62],[2,4,22],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=22,(3,4)=27,(0,2)=37,(0,4)=57,(1,3)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=27 Succeeded, w=49\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=86\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=62 Succeeded, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,52],[0,2,57],[0,3,81],[0,4,42],[0,5,4],[0,6,65],[0,7,42],[1,2,17],[1,3,20],[1,4,97],[1,5,78],[1,6,19],[1,7,7],[2,3,28],[2,4,71],[2,5,39],[2,6,16],[2,7,5],[3,4,58],[3,5,45],[3,6,85],[3,7,62],[4,5,40],[4,6,79],[4,7,72],[5,6,46],[5,7,19],[6,7,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,57],[0,3,81],[0,4,42],[0,5,4],[0,6,65],[0,7,42],[1,2,17],[1,3,20],[1,4,97],[1,5,78],[1,6,19],[1,7,7],[2,3,28],[2,4,71],[2,5,39],[2,6,16],[2,7,5],[3,4,58],[3,5,45],[3,6,85],[3,7,62],[4,5,40],[4,6,79],[4,7,72],[5,6,46],[5,7,19],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,57],[0,3,81],[0,4,42],[0,5,4],[0,6,65],[0,7,42],[1,2,17],[1,3,20],[1,4,97],[1,5,78],[1,6,19],[1,7,7],[2,3,28],[2,4,71],[2,5,39],[2,6,16],[2,7,5],[3,4,58],[3,5,45],[3,6,85],[3,7,62],[4,5,40],[4,6,79],[4,7,72],[5,6,46],[5,7,19],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,7)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (5,7)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,57],[0,3,81],[0,4,42],[0,5,4],[0,6,65],[0,7,42],[1,2,17],[1,3,20],[1,4,97],[1,5,78],[1,6,19],[1,7,7],[2,3,28],[2,4,71],[2,5,39],[2,6,16],[2,7,5],[3,4,58],[3,5,45],[3,6,85],[3,7,62],[4,5,40],[4,6,79],[4,7,72],[5,6,46],[5,7,19],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4, w=4\",\"Add (2,7)=5, w=9\",\"Add (1,7)=7, w=16\",\"Add (2,6)=16, w=32\",\"Add (5,7)=19, w=51\",\"Add (1,3)=20, w=71\",\"Add (4,5)=40, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,57],[0,3,81],[0,4,42],[0,5,4],[0,6,65],[0,7,42],[1,2,17],[1,3,20],[1,4,97],[1,5,78],[1,6,19],[1,7,7],[2,3,28],[2,4,71],[2,5,39],[2,6,16],[2,7,5],[3,4,58],[3,5,45],[3,6,85],[3,7,62],[4,5,40],[4,6,79],[4,7,72],[5,6,46],[5,7,19],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4 Succeeded, w=4\",\"Add (2,7)=5 Succeeded, w=9\",\"Add (1,7)=7 Succeeded, w=16\",\"Add (2,6)=16 Succeeded, w=32\",\"Add (1,2)=17 Failed, w=32\",\"Add (1,6)=19 Failed, w=32\",\"Add (5,7)=19 Succeeded, w=51\",\"Add (1,3)=20 Succeeded, w=71\",\"Add (2,3)=28 Failed, w=71\",\"Add (2,5)=39 Failed, w=71\",\"Add (4,5)=40 Succeeded, w=111\",\"Add (0,4)=42 Failed, w=111\",\"Add (0,7)=42 Failed, w=111\",\"Add (3,5)=45 Failed, w=111\",\"Add (5,6)=46 Failed, w=111\",\"Add (0,1)=52 Failed, w=111\",\"Add (0,2)=57 Failed, w=111\",\"Add (3,4)=58 Failed, w=111\",\"Add (3,7)=62 Failed, w=111\",\"Add (0,6)=65 Failed, w=111\",\"Add (2,4)=71 Failed, w=111\",\"Add (4,7)=72 Failed, w=111\",\"Add (1,5)=78 Failed, w=111\",\"Add (4,6)=79 Failed, w=111\",\"Add (0,3)=81 Failed, w=111\",\"Add (3,6)=85 Failed, w=111\",\"Add (6,7)=90 Failed, w=111\",\"Add (1,4)=97 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,57],[0,3,81],[0,4,42],[0,5,4],[0,6,65],[0,7,42],[1,2,17],[1,3,20],[1,4,97],[1,5,78],[1,6,19],[1,7,7],[2,3,28],[2,4,71],[2,5,39],[2,6,16],[2,7,5],[3,4,58],[3,5,45],[3,6,85],[3,7,62],[4,5,40],[4,6,79],[4,7,72],[5,6,46],[5,7,19],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(2,7)=5,(1,7)=7,(2,6)=16,(1,2)=17,(1,6)=19,(5,7)=19,(1,3)=20,(2,3)=28,(2,5)=39,(4,5)=40,(0,4)=42,(0,7)=42,(3,5)=45,(5,6)=46,(0,1)=52,(0,2)=57,(3,4)=58,(3,7)=62,(0,6)=65,(2,4)=71,(4,7)=72,(1,5)=78,(4,6)=79,(0,3)=81,(3,6)=85,(6,7)=90,(1,4)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(7)=7, Add (2,7)=5 Succeeded, w=9\",\"Find(1)=1, Find(7)=2, Add (1,7)=7 Succeeded, w=16\",\"Find(2)=2, Find(6)=6, Add (2,6)=16 Succeeded, w=32\",\"Find(1)=2, Find(2)=2, Add (1,2)=17 Failed, w=32\",\"Find(1)=2, Find(6)=2, Add (1,6)=19 Failed, w=32\",\"Find(5)=0, Find(7)=2, Add (5,7)=19 Succeeded, w=51\",\"Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=71\",\"Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=71\",\"Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=71\",\"Find(4)=4, Find(5)=0, Add (4,5)=40 Succeeded, w=111\",\"Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=111\",\"Find(0)=0, Find(7)=0, Add (0,7)=42 Failed, w=111\",\"Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=111\",\"Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=111\",\"Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=111\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=111\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=111\",\"Find(3)=0, Find(7)=0, Add (3,7)=62 Failed, w=111\",\"Find(0)=0, Find(6)=0, Add (0,6)=65 Failed, w=111\",\"Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=111\",\"Find(4)=0, Find(7)=0, Add (4,7)=72 Failed, w=111\",\"Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=111\",\"Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=111\",\"Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=111\",\"Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=111\",\"Find(6)=0, Find(7)=0, Add (6,7)=90 Failed, w=111\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,57],[0,3,81],[0,4,42],[0,5,4],[0,6,65],[0,7,42],[1,2,17],[1,3,20],[1,4,97],[1,5,78],[1,6,19],[1,7,7],[2,3,28],[2,4,71],[2,5,39],[2,6,16],[2,7,5],[3,4,58],[3,5,45],[3,6,85],[3,7,62],[4,5,40],[4,6,79],[4,7,72],[5,6,46],[5,7,19],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(2,7)=5,(1,7)=7,(2,6)=16,(1,2)=17,(1,6)=19,(5,7)=19,(1,3)=20,(2,3)=28,(2,5)=39,(4,5)=40,(0,4)=42,(0,7)=42,(3,5)=45,(5,6)=46,(0,1)=52,(0,2)=57,(3,4)=58,(3,7)=62,(0,6)=65,(2,4)=71,(4,7)=72,(1,5)=78,(4,6)=79,(0,3)=81,(3,6)=85,(6,7)=90,(1,4)=97]\",\"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: 4, 5: 0, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(6)=6, Add (2,6)=16 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=17 Failed, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=19 Failed, w=32\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(5)=0, Find(7)=2, Add (5,7)=19 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 2, 7: 2}, Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 2, 7: 2}, Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 2, 7: 2}, Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(4)=4, Find(5)=0, Add (4,5)=40 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=42 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=111\",\"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)=46 Failed, w=111\",\"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)=52 Failed, w=111\",\"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)=57 Failed, w=111\",\"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=111\",\"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)=62 Failed, w=111\",\"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)=65 Failed, w=111\",\"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)=71 Failed, w=111\",\"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)=72 Failed, w=111\",\"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)=78 Failed, w=111\",\"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)=79 Failed, w=111\",\"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)=81 Failed, w=111\",\"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)=85 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=90 Failed, w=111\",\"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)=97 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,64],[0,3,61],[0,4,3],[1,2,18],[1,3,57],[1,4,37],[2,3,70],[2,4,65],[3,4,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,64],[0,3,61],[0,4,3],[1,2,18],[1,3,57],[1,4,37],[2,3,70],[2,4,65],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,64],[0,3,61],[0,4,3],[1,2,18],[1,3,57],[1,4,37],[2,3,70],[2,4,65],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,64],[0,3,61],[0,4,3],[1,2,18],[1,3,57],[1,4,37],[2,3,70],[2,4,65],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (3,4)=7, w=10\",\"Add (1,2)=18, w=28\",\"Add (0,1)=29, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,64],[0,3,61],[0,4,3],[1,2,18],[1,3,57],[1,4,37],[2,3,70],[2,4,65],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (3,4)=7 Succeeded, w=10\",\"Add (1,2)=18 Succeeded, w=28\",\"Add (0,1)=29 Succeeded, w=57\",\"Add (1,4)=37 Failed, w=57\",\"Add (1,3)=57 Failed, w=57\",\"Add (0,3)=61 Failed, w=57\",\"Add (0,2)=64 Failed, w=57\",\"Add (2,4)=65 Failed, w=57\",\"Add (2,3)=70 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,64],[0,3,61],[0,4,3],[1,2,18],[1,3,57],[1,4,37],[2,3,70],[2,4,65],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(3,4)=7,(1,2)=18,(0,1)=29,(1,4)=37,(1,3)=57,(0,3)=61,(0,2)=64,(2,4)=65,(2,3)=70]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=0, Add (3,4)=7 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=57\",\"Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=57\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=57\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=57\",\"Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=57\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=57\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,64],[0,3,61],[0,4,3],[1,2,18],[1,3,57],[1,4,37],[2,3,70],[2,4,65],[3,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(3,4)=7,(1,2)=18,(0,1)=29,(1,4)=37,(1,3)=57,(0,3)=61,(0,2)=64,(2,4)=65,(2,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,2,18],[0,3,27],[0,5,19],[1,3,71],[1,4,56],[2,3,63],[2,4,15],[2,5,86],[3,4,96],[4,5,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,18],[0,3,27],[0,5,19],[1,3,71],[1,4,56],[2,3,63],[2,4,15],[2,5,86],[3,4,96],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,18],[0,3,27],[0,5,19],[1,3,71],[1,4,56],[2,3,63],[2,4,15],[2,5,86],[3,4,96],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,18],[0,3,27],[0,5,19],[1,3,71],[1,4,56],[2,3,63],[2,4,15],[2,5,86],[3,4,96],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15, w=15\",\"Add (0,2)=18, w=33\",\"Add (0,5)=19, w=52\",\"Add (0,3)=27, w=79\",\"Add (0,1)=34, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,18],[0,3,27],[0,5,19],[1,3,71],[1,4,56],[2,3,63],[2,4,15],[2,5,86],[3,4,96],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15 Succeeded, w=15\",\"Add (0,2)=18 Succeeded, w=33\",\"Add (0,5)=19 Succeeded, w=52\",\"Add (0,3)=27 Succeeded, w=79\",\"Add (0,1)=34 Succeeded, w=113\",\"Add (4,5)=35 Failed, w=113\",\"Add (1,4)=56 Failed, w=113\",\"Add (2,3)=63 Failed, w=113\",\"Add (1,3)=71 Failed, w=113\",\"Add (2,5)=86 Failed, w=113\",\"Add (3,4)=96 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,18],[0,3,27],[0,5,19],[1,3,71],[1,4,56],[2,3,63],[2,4,15],[2,5,86],[3,4,96],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(0,2)=18,(0,5)=19,(0,3)=27,(0,1)=34,(4,5)=35,(1,4)=56,(2,3)=63,(1,3)=71,(2,5)=86,(3,4)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=33\",\"Find(0)=2, Find(5)=5, Add (0,5)=19 Succeeded, w=52\",\"Find(0)=2, Find(3)=3, Add (0,3)=27 Succeeded, w=79\",\"Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=113\",\"Find(4)=2, Find(5)=2, Add (4,5)=35 Failed, w=113\",\"Find(1)=2, Find(4)=2, Add (1,4)=56 Failed, w=113\",\"Find(2)=2, Find(3)=2, Add (2,3)=63 Failed, w=113\",\"Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=113\",\"Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=113\",\"Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,18],[0,3,27],[0,5,19],[1,3,71],[1,4,56],[2,3,63],[2,4,15],[2,5,86],[3,4,96],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(0,2)=18,(0,5)=19,(0,3)=27,(0,1)=34,(4,5)=35,(1,4)=56,(2,3)=63,(1,3)=71,(2,5)=86,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=33\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(5)=5, Add (0,5)=19 Succeeded, w=52\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=3, Add (0,3)=27 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=35 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=56 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=63 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,32],[0,3,35],[1,2,70],[2,3,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,35],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,35],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,35],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=32, w=32\",\"Add (0,3)=35, w=67\",\"Add (1,2)=70, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,35],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=32 Succeeded, w=32\",\"Add (0,3)=35 Succeeded, w=67\",\"Add (1,2)=70 Succeeded, w=137\",\"Add (2,3)=70 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,35],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=32,(0,3)=35,(1,2)=70,(2,3)=70]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=67\",\"Find(1)=1, Find(2)=0, Add (1,2)=70 Succeeded, w=137\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,35],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=32,(0,3)=35,(1,2)=70,(2,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=70 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,31],[0,5,78],[0,6,92],[0,7,44],[1,2,87],[1,4,58],[1,5,43],[1,6,93],[1,7,9],[2,3,64],[2,4,41],[2,7,16],[3,4,55],[3,5,21],[3,7,22],[4,5,36],[4,6,22],[4,7,1],[5,6,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,31],[0,5,78],[0,6,92],[0,7,44],[1,2,87],[1,4,58],[1,5,43],[1,6,93],[1,7,9],[2,3,64],[2,4,41],[2,7,16],[3,4,55],[3,5,21],[3,7,22],[4,5,36],[4,6,22],[4,7,1],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,31],[0,5,78],[0,6,92],[0,7,44],[1,2,87],[1,4,58],[1,5,43],[1,6,93],[1,7,9],[2,3,64],[2,4,41],[2,7,16],[3,4,55],[3,5,21],[3,7,22],[4,5,36],[4,6,22],[4,7,1],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (1,7)\",\"Add (2,7)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (4,6)\",\"Add (0,4)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,31],[0,5,78],[0,6,92],[0,7,44],[1,2,87],[1,4,58],[1,5,43],[1,6,93],[1,7,9],[2,3,64],[2,4,41],[2,7,16],[3,4,55],[3,5,21],[3,7,22],[4,5,36],[4,6,22],[4,7,1],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=1, w=1\",\"Add (1,7)=9, w=10\",\"Add (2,7)=16, w=26\",\"Add (3,5)=21, w=47\",\"Add (3,7)=22, w=69\",\"Add (4,6)=22, w=91\",\"Add (0,4)=31, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,31],[0,5,78],[0,6,92],[0,7,44],[1,2,87],[1,4,58],[1,5,43],[1,6,93],[1,7,9],[2,3,64],[2,4,41],[2,7,16],[3,4,55],[3,5,21],[3,7,22],[4,5,36],[4,6,22],[4,7,1],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=1 Succeeded, w=1\",\"Add (1,7)=9 Succeeded, w=10\",\"Add (2,7)=16 Succeeded, w=26\",\"Add (3,5)=21 Succeeded, w=47\",\"Add (3,7)=22 Succeeded, w=69\",\"Add (4,6)=22 Succeeded, w=91\",\"Add (0,4)=31 Succeeded, w=122\",\"Add (4,5)=36 Failed, w=122\",\"Add (2,4)=41 Failed, w=122\",\"Add (1,5)=43 Failed, w=122\",\"Add (0,7)=44 Failed, w=122\",\"Add (3,4)=55 Failed, w=122\",\"Add (1,4)=58 Failed, w=122\",\"Add (2,3)=64 Failed, w=122\",\"Add (0,5)=78 Failed, w=122\",\"Add (1,2)=87 Failed, w=122\",\"Add (5,6)=90 Failed, w=122\",\"Add (0,6)=92 Failed, w=122\",\"Add (1,6)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,31],[0,5,78],[0,6,92],[0,7,44],[1,2,87],[1,4,58],[1,5,43],[1,6,93],[1,7,9],[2,3,64],[2,4,41],[2,7,16],[3,4,55],[3,5,21],[3,7,22],[4,5,36],[4,6,22],[4,7,1],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=1,(1,7)=9,(2,7)=16,(3,5)=21,(3,7)=22,(4,6)=22,(0,4)=31,(4,5)=36,(2,4)=41,(1,5)=43,(0,7)=44,(3,4)=55,(1,4)=58,(2,3)=64,(0,5)=78,(1,2)=87,(5,6)=90,(0,6)=92,(1,6)=93]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(7)=4, Add (1,7)=9 Succeeded, w=10\",\"Find(2)=2, Find(7)=4, Add (2,7)=16 Succeeded, w=26\",\"Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=47\",\"Find(3)=3, Find(7)=4, Add (3,7)=22 Succeeded, w=69\",\"Find(4)=3, Find(6)=6, Add (4,6)=22 Succeeded, w=91\",\"Find(0)=0, Find(4)=3, Add (0,4)=31 Succeeded, w=122\",\"Find(4)=3, Find(5)=3, Add (4,5)=36 Failed, w=122\",\"Find(2)=3, Find(4)=3, Add (2,4)=41 Failed, w=122\",\"Find(1)=3, Find(5)=3, Add (1,5)=43 Failed, w=122\",\"Find(0)=3, Find(7)=3, Add (0,7)=44 Failed, w=122\",\"Find(3)=3, Find(4)=3, Add (3,4)=55 Failed, w=122\",\"Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=122\",\"Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=122\",\"Find(0)=3, Find(5)=3, Add (0,5)=78 Failed, w=122\",\"Find(1)=3, Find(2)=3, Add (1,2)=87 Failed, w=122\",\"Find(5)=3, Find(6)=3, Add (5,6)=90 Failed, w=122\",\"Find(0)=3, Find(6)=3, Add (0,6)=92 Failed, w=122\",\"Find(1)=3, Find(6)=3, Add (1,6)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,31],[0,5,78],[0,6,92],[0,7,44],[1,2,87],[1,4,58],[1,5,43],[1,6,93],[1,7,9],[2,3,64],[2,4,41],[2,7,16],[3,4,55],[3,5,21],[3,7,22],[4,5,36],[4,6,22],[4,7,1],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=1,(1,7)=9,(2,7)=16,(3,5)=21,(3,7)=22,(4,6)=22,(0,4)=31,(4,5)=36,(2,4)=41,(1,5)=43,(0,7)=44,(3,4)=55,(1,4)=58,(2,3)=64,(0,5)=78,(1,2)=87,(5,6)=90,(0,6)=92,(1,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 3, 6: 6, 7: 4}, Find(3)=3, Find(5)=5, Add (3,5)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 3, 5: 3, 6: 6, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=22 Succeeded, w=69\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(4)=3, Find(6)=6, Add (4,6)=22 Succeeded, w=91\",\"Parent: {0: 3, 1: 4, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(0)=0, Find(4)=3, Add (0,4)=31 Succeeded, w=122\",\"Parent: {0: 3, 1: 4, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(4)=3, Find(5)=3, Add (4,5)=36 Failed, w=122\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(2)=3, Find(4)=3, Add (2,4)=41 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(1)=3, Find(5)=3, Add (1,5)=43 Failed, w=122\",\"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)=44 Failed, w=122\",\"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)=55 Failed, w=122\",\"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)=58 Failed, w=122\",\"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)=64 Failed, w=122\",\"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)=78 Failed, w=122\",\"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)=87 Failed, w=122\",\"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)=90 Failed, w=122\",\"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)=92 Failed, w=122\",\"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)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,3],[0,2,88],[0,3,85],[1,2,100],[1,3,37],[2,3,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,88],[0,3,85],[1,2,100],[1,3,37],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,88],[0,3,85],[1,2,100],[1,3,37],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,88],[0,3,85],[1,2,100],[1,3,37],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (2,3)=12, w=15\",\"Add (1,3)=37, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,88],[0,3,85],[1,2,100],[1,3,37],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (2,3)=12 Succeeded, w=15\",\"Add (1,3)=37 Succeeded, w=52\",\"Add (0,3)=85 Failed, w=52\",\"Add (0,2)=88 Failed, w=52\",\"Add (1,2)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,88],[0,3,85],[1,2,100],[1,3,37],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,3)=12,(1,3)=37,(0,3)=85,(0,2)=88,(1,2)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=15\",\"Find(1)=0, Find(3)=2, Add (1,3)=37 Succeeded, w=52\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=52\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=52\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,88],[0,3,85],[1,2,100],[1,3,37],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,3)=12,(1,3)=37,(0,3)=85,(0,2)=88,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(3)=2, Add (1,3)=37 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,23],[0,3,96],[0,4,18],[0,5,13],[0,6,97],[0,7,36],[1,2,24],[1,3,45],[1,6,15],[2,5,100],[2,7,43],[3,6,41],[3,7,52],[4,6,7],[5,6,8],[6,7,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,96],[0,4,18],[0,5,13],[0,6,97],[0,7,36],[1,2,24],[1,3,45],[1,6,15],[2,5,100],[2,7,43],[3,6,41],[3,7,52],[4,6,7],[5,6,8],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,96],[0,4,18],[0,5,13],[0,6,97],[0,7,36],[1,2,24],[1,3,45],[1,6,15],[2,5,100],[2,7,43],[3,6,41],[3,7,52],[4,6,7],[5,6,8],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (0,7)\",\"Add (3,6)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,96],[0,4,18],[0,5,13],[0,6,97],[0,7,36],[1,2,24],[1,3,45],[1,6,15],[2,5,100],[2,7,43],[3,6,41],[3,7,52],[4,6,7],[5,6,8],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7, w=7\",\"Add (5,6)=8, w=15\",\"Add (0,5)=13, w=28\",\"Add (1,6)=15, w=43\",\"Add (0,2)=23, w=66\",\"Add (0,7)=36, w=102\",\"Add (3,6)=41, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,96],[0,4,18],[0,5,13],[0,6,97],[0,7,36],[1,2,24],[1,3,45],[1,6,15],[2,5,100],[2,7,43],[3,6,41],[3,7,52],[4,6,7],[5,6,8],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7 Succeeded, w=7\",\"Add (5,6)=8 Succeeded, w=15\",\"Add (0,5)=13 Succeeded, w=28\",\"Add (1,6)=15 Succeeded, w=43\",\"Add (0,4)=18 Failed, w=43\",\"Add (0,2)=23 Succeeded, w=66\",\"Add (1,2)=24 Failed, w=66\",\"Add (0,7)=36 Succeeded, w=102\",\"Add (3,6)=41 Succeeded, w=143\",\"Add (2,7)=43 Failed, w=143\",\"Add (1,3)=45 Failed, w=143\",\"Add (3,7)=52 Failed, w=143\",\"Add (6,7)=75 Failed, w=143\",\"Add (0,3)=96 Failed, w=143\",\"Add (0,6)=97 Failed, w=143\",\"Add (2,5)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,96],[0,4,18],[0,5,13],[0,6,97],[0,7,36],[1,2,24],[1,3,45],[1,6,15],[2,5,100],[2,7,43],[3,6,41],[3,7,52],[4,6,7],[5,6,8],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(5,6)=8,(0,5)=13,(1,6)=15,(0,4)=18,(0,2)=23,(1,2)=24,(0,7)=36,(3,6)=41,(2,7)=43,(1,3)=45,(3,7)=52,(6,7)=75,(0,3)=96,(0,6)=97,(2,5)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=7\",\"Find(5)=5, Find(6)=4, Add (5,6)=8 Succeeded, w=15\",\"Find(0)=0, Find(5)=4, Add (0,5)=13 Succeeded, w=28\",\"Find(1)=1, Find(6)=4, Add (1,6)=15 Succeeded, w=43\",\"Find(0)=4, Find(4)=4, Add (0,4)=18 Failed, w=43\",\"Find(0)=4, Find(2)=2, Add (0,2)=23 Succeeded, w=66\",\"Find(1)=4, Find(2)=4, Add (1,2)=24 Failed, w=66\",\"Find(0)=4, Find(7)=7, Add (0,7)=36 Succeeded, w=102\",\"Find(3)=3, Find(6)=4, Add (3,6)=41 Succeeded, w=143\",\"Find(2)=4, Find(7)=4, Add (2,7)=43 Failed, w=143\",\"Find(1)=4, Find(3)=4, Add (1,3)=45 Failed, w=143\",\"Find(3)=4, Find(7)=4, Add (3,7)=52 Failed, w=143\",\"Find(6)=4, Find(7)=4, Add (6,7)=75 Failed, w=143\",\"Find(0)=4, Find(3)=4, Add (0,3)=96 Failed, w=143\",\"Find(0)=4, Find(6)=4, Add (0,6)=97 Failed, w=143\",\"Find(2)=4, Find(5)=4, Add (2,5)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,96],[0,4,18],[0,5,13],[0,6,97],[0,7,36],[1,2,24],[1,3,45],[1,6,15],[2,5,100],[2,7,43],[3,6,41],[3,7,52],[4,6,7],[5,6,8],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(5,6)=8,(0,5)=13,(1,6)=15,(0,4)=18,(0,2)=23,(1,2)=24,(0,7)=36,(3,6)=41,(2,7)=43,(1,3)=45,(3,7)=52,(6,7)=75,(0,3)=96,(0,6)=97,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=5, Find(6)=4, Add (5,6)=8 Succeeded, w=15\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=0, Find(5)=4, Add (0,5)=13 Succeeded, w=28\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=1, Find(6)=4, Add (1,6)=15 Succeeded, w=43\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=4, Find(4)=4, Add (0,4)=18 Failed, w=43\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=4, Find(2)=2, Add (0,2)=23 Succeeded, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=4, Find(2)=4, Add (1,2)=24 Failed, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=7, Add (0,7)=36 Succeeded, w=102\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=3, Find(6)=4, Add (3,6)=41 Succeeded, w=143\",\"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)=43 Failed, w=143\",\"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)=45 Failed, w=143\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=52 Failed, w=143\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=75 Failed, w=143\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=96 Failed, w=143\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=97 Failed, w=143\",\"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)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,52],[0,2,75],[0,3,79],[0,4,66],[0,5,18],[0,6,63],[1,2,67],[1,3,10],[1,4,7],[1,5,22],[1,6,77],[2,3,4],[2,4,5],[2,5,29],[2,6,8],[3,4,30],[3,6,24],[4,5,34],[4,6,19],[5,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,75],[0,3,79],[0,4,66],[0,5,18],[0,6,63],[1,2,67],[1,3,10],[1,4,7],[1,5,22],[1,6,77],[2,3,4],[2,4,5],[2,5,29],[2,6,8],[3,4,30],[3,6,24],[4,5,34],[4,6,19],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,75],[0,3,79],[0,4,66],[0,5,18],[0,6,63],[1,2,67],[1,3,10],[1,4,7],[1,5,22],[1,6,77],[2,3,4],[2,4,5],[2,5,29],[2,6,8],[3,4,30],[3,6,24],[4,5,34],[4,6,19],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,75],[0,3,79],[0,4,66],[0,5,18],[0,6,63],[1,2,67],[1,3,10],[1,4,7],[1,5,22],[1,6,77],[2,3,4],[2,4,5],[2,5,29],[2,6,8],[3,4,30],[3,6,24],[4,5,34],[4,6,19],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (2,4)=5, w=9\",\"Add (1,4)=7, w=16\",\"Add (2,6)=8, w=24\",\"Add (0,5)=18, w=42\",\"Add (1,5)=22, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,75],[0,3,79],[0,4,66],[0,5,18],[0,6,63],[1,2,67],[1,3,10],[1,4,7],[1,5,22],[1,6,77],[2,3,4],[2,4,5],[2,5,29],[2,6,8],[3,4,30],[3,6,24],[4,5,34],[4,6,19],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (2,4)=5 Succeeded, w=9\",\"Add (1,4)=7 Succeeded, w=16\",\"Add (2,6)=8 Succeeded, w=24\",\"Add (1,3)=10 Failed, w=24\",\"Add (0,5)=18 Succeeded, w=42\",\"Add (4,6)=19 Failed, w=42\",\"Add (1,5)=22 Succeeded, w=64\",\"Add (3,6)=24 Failed, w=64\",\"Add (5,6)=25 Failed, w=64\",\"Add (2,5)=29 Failed, w=64\",\"Add (3,4)=30 Failed, w=64\",\"Add (4,5)=34 Failed, w=64\",\"Add (0,1)=52 Failed, w=64\",\"Add (0,6)=63 Failed, w=64\",\"Add (0,4)=66 Failed, w=64\",\"Add (1,2)=67 Failed, w=64\",\"Add (0,2)=75 Failed, w=64\",\"Add (1,6)=77 Failed, w=64\",\"Add (0,3)=79 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,75],[0,3,79],[0,4,66],[0,5,18],[0,6,63],[1,2,67],[1,3,10],[1,4,7],[1,5,22],[1,6,77],[2,3,4],[2,4,5],[2,5,29],[2,6,8],[3,4,30],[3,6,24],[4,5,34],[4,6,19],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(2,4)=5,(1,4)=7,(2,6)=8,(1,3)=10,(0,5)=18,(4,6)=19,(1,5)=22,(3,6)=24,(5,6)=25,(2,5)=29,(3,4)=30,(4,5)=34,(0,1)=52,(0,6)=63,(0,4)=66,(1,2)=67,(0,2)=75,(1,6)=77,(0,3)=79]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=9\",\"Find(1)=1, Find(4)=2, Add (1,4)=7 Succeeded, w=16\",\"Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=24\",\"Find(1)=2, Find(3)=2, Add (1,3)=10 Failed, w=24\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=42\",\"Find(4)=2, Find(6)=2, Add (4,6)=19 Failed, w=42\",\"Find(1)=2, Find(5)=0, Add (1,5)=22 Succeeded, w=64\",\"Find(3)=2, Find(6)=2, Add (3,6)=24 Failed, w=64\",\"Find(5)=2, Find(6)=2, Add (5,6)=25 Failed, w=64\",\"Find(2)=2, Find(5)=2, Add (2,5)=29 Failed, w=64\",\"Find(3)=2, Find(4)=2, Add (3,4)=30 Failed, w=64\",\"Find(4)=2, Find(5)=2, Add (4,5)=34 Failed, w=64\",\"Find(0)=2, Find(1)=2, Add (0,1)=52 Failed, w=64\",\"Find(0)=2, Find(6)=2, Add (0,6)=63 Failed, w=64\",\"Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=64\",\"Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=64\",\"Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=64\",\"Find(1)=2, Find(6)=2, Add (1,6)=77 Failed, w=64\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,75],[0,3,79],[0,4,66],[0,5,18],[0,6,63],[1,2,67],[1,3,10],[1,4,7],[1,5,22],[1,6,77],[2,3,4],[2,4,5],[2,5,29],[2,6,8],[3,4,30],[3,6,24],[4,5,34],[4,6,19],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(2,4)=5,(1,4)=7,(2,6)=8,(1,3)=10,(0,5)=18,(4,6)=19,(1,5)=22,(3,6)=24,(5,6)=25,(2,5)=29,(3,4)=30,(4,5)=34,(0,1)=52,(0,6)=63,(0,4)=66,(1,2)=67,(0,2)=75,(1,6)=77,(0,3)=79]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(4)=2, Add (1,4)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=10 Failed, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=42\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=19 Failed, w=42\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(1)=2, Find(5)=0, Add (1,5)=22 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=24 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=25 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=29 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=30 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=34 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=52 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=63 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=77 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,59],[0,4,2],[0,7,80],[1,2,42],[1,4,100],[1,5,14],[1,6,60],[1,7,61],[2,3,87],[2,4,7],[2,5,18],[2,6,24],[3,4,53],[3,5,96],[3,7,31],[4,5,86],[4,6,49],[4,7,29],[6,7,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,4,2],[0,7,80],[1,2,42],[1,4,100],[1,5,14],[1,6,60],[1,7,61],[2,3,87],[2,4,7],[2,5,18],[2,6,24],[3,4,53],[3,5,96],[3,7,31],[4,5,86],[4,6,49],[4,7,29],[6,7,58]]}",
"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\":[[0,1,59],[0,4,2],[0,7,80],[1,2,42],[1,4,100],[1,5,14],[1,6,60],[1,7,61],[2,3,87],[2,4,7],[2,5,18],[2,6,24],[3,4,53],[3,5,96],[3,7,31],[4,5,86],[4,6,49],[4,7,29],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (4,7)\",\"Add (3,7)\"],\"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\":[[0,1,59],[0,4,2],[0,7,80],[1,2,42],[1,4,100],[1,5,14],[1,6,60],[1,7,61],[2,3,87],[2,4,7],[2,5,18],[2,6,24],[3,4,53],[3,5,96],[3,7,31],[4,5,86],[4,6,49],[4,7,29],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (2,4)=7, w=9\",\"Add (1,5)=14, w=23\",\"Add (2,5)=18, w=41\",\"Add (2,6)=24, w=65\",\"Add (4,7)=29, w=94\",\"Add (3,7)=31, 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\":[[0,1,59],[0,4,2],[0,7,80],[1,2,42],[1,4,100],[1,5,14],[1,6,60],[1,7,61],[2,3,87],[2,4,7],[2,5,18],[2,6,24],[3,4,53],[3,5,96],[3,7,31],[4,5,86],[4,6,49],[4,7,29],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (2,4)=7 Succeeded, w=9\",\"Add (1,5)=14 Succeeded, w=23\",\"Add (2,5)=18 Succeeded, w=41\",\"Add (2,6)=24 Succeeded, w=65\",\"Add (4,7)=29 Succeeded, w=94\",\"Add (3,7)=31 Succeeded, w=125\",\"Add (1,2)=42 Failed, w=125\",\"Add (4,6)=49 Failed, w=125\",\"Add (3,4)=53 Failed, w=125\",\"Add (6,7)=58 Failed, w=125\",\"Add (0,1)=59 Failed, w=125\",\"Add (1,6)=60 Failed, w=125\",\"Add (1,7)=61 Failed, w=125\",\"Add (0,7)=80 Failed, w=125\",\"Add (4,5)=86 Failed, w=125\",\"Add (2,3)=87 Failed, w=125\",\"Add (3,5)=96 Failed, w=125\",\"Add (1,4)=100 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\":[[0,1,59],[0,4,2],[0,7,80],[1,2,42],[1,4,100],[1,5,14],[1,6,60],[1,7,61],[2,3,87],[2,4,7],[2,5,18],[2,6,24],[3,4,53],[3,5,96],[3,7,31],[4,5,86],[4,6,49],[4,7,29],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(2,4)=7,(1,5)=14,(2,5)=18,(2,6)=24,(4,7)=29,(3,7)=31,(1,2)=42,(4,6)=49,(3,4)=53,(6,7)=58,(0,1)=59,(1,6)=60,(1,7)=61,(0,7)=80,(4,5)=86,(2,3)=87,(3,5)=96,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=0, Add (2,4)=7 Succeeded, w=9\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=23\",\"Find(2)=0, Find(5)=1, Add (2,5)=18 Succeeded, w=41\",\"Find(2)=0, Find(6)=6, Add (2,6)=24 Succeeded, w=65\",\"Find(4)=0, Find(7)=7, Add (4,7)=29 Succeeded, w=94\",\"Find(3)=3, Find(7)=0, Add (3,7)=31 Succeeded, w=125\",\"Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=125\",\"Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=125\",\"Find(6)=0, Find(7)=0, Add (6,7)=58 Failed, w=125\",\"Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=125\",\"Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=125\",\"Find(1)=0, Find(7)=0, Add (1,7)=61 Failed, w=125\",\"Find(0)=0, Find(7)=0, Add (0,7)=80 Failed, w=125\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=125\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=125\",\"Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=125\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 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\":[[0,1,59],[0,4,2],[0,7,80],[1,2,42],[1,4,100],[1,5,14],[1,6,60],[1,7,61],[2,3,87],[2,4,7],[2,5,18],[2,6,24],[3,4,53],[3,5,96],[3,7,31],[4,5,86],[4,6,49],[4,7,29],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(2,4)=7,(1,5)=14,(2,5)=18,(2,6)=24,(4,7)=29,(3,7)=31,(1,2)=42,(4,6)=49,(3,4)=53,(6,7)=58,(0,1)=59,(1,6)=60,(1,7)=61,(0,7)=80,(4,5)=86,(2,3)=87,(3,5)=96,(1,4)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 6, 7: 7}, Find(2)=0, Find(5)=1, Add (2,5)=18 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 0, 7: 7}, Find(2)=0, Find(6)=6, Add (2,6)=24 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=29 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=31 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=58 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=61 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=80 Failed, 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)=86 Failed, w=125\",\"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)=87 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)=96 Failed, w=125\",\"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)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,23],[0,2,75],[0,3,4],[0,4,38],[0,5,49],[0,6,76],[0,7,27],[1,2,82],[1,3,38],[1,4,54],[1,5,81],[1,6,91],[1,7,63],[2,3,56],[2,4,17],[2,6,55],[2,7,64],[3,4,76],[3,5,90],[3,6,19],[3,7,55],[4,5,6],[4,6,49],[4,7,92],[5,6,58],[5,7,59],[6,7,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,75],[0,3,4],[0,4,38],[0,5,49],[0,6,76],[0,7,27],[1,2,82],[1,3,38],[1,4,54],[1,5,81],[1,6,91],[1,7,63],[2,3,56],[2,4,17],[2,6,55],[2,7,64],[3,4,76],[3,5,90],[3,6,19],[3,7,55],[4,5,6],[4,6,49],[4,7,92],[5,6,58],[5,7,59],[6,7,31]]}",
"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\":[[0,1,23],[0,2,75],[0,3,4],[0,4,38],[0,5,49],[0,6,76],[0,7,27],[1,2,82],[1,3,38],[1,4,54],[1,5,81],[1,6,91],[1,7,63],[2,3,56],[2,4,17],[2,6,55],[2,7,64],[3,4,76],[3,5,90],[3,6,19],[3,7,55],[4,5,6],[4,6,49],[4,7,92],[5,6,58],[5,7,59],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (0,7)\",\"Add (0,4)\"],\"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\":[[0,1,23],[0,2,75],[0,3,4],[0,4,38],[0,5,49],[0,6,76],[0,7,27],[1,2,82],[1,3,38],[1,4,54],[1,5,81],[1,6,91],[1,7,63],[2,3,56],[2,4,17],[2,6,55],[2,7,64],[3,4,76],[3,5,90],[3,6,19],[3,7,55],[4,5,6],[4,6,49],[4,7,92],[5,6,58],[5,7,59],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (4,5)=6, w=10\",\"Add (2,4)=17, w=27\",\"Add (3,6)=19, w=46\",\"Add (0,1)=23, w=69\",\"Add (0,7)=27, w=96\",\"Add (0,4)=38, 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\":[[0,1,23],[0,2,75],[0,3,4],[0,4,38],[0,5,49],[0,6,76],[0,7,27],[1,2,82],[1,3,38],[1,4,54],[1,5,81],[1,6,91],[1,7,63],[2,3,56],[2,4,17],[2,6,55],[2,7,64],[3,4,76],[3,5,90],[3,6,19],[3,7,55],[4,5,6],[4,6,49],[4,7,92],[5,6,58],[5,7,59],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (4,5)=6 Succeeded, w=10\",\"Add (2,4)=17 Succeeded, w=27\",\"Add (3,6)=19 Succeeded, w=46\",\"Add (0,1)=23 Succeeded, w=69\",\"Add (0,7)=27 Succeeded, w=96\",\"Add (6,7)=31 Failed, w=96\",\"Add (0,4)=38 Succeeded, w=134\",\"Add (1,3)=38 Failed, w=134\",\"Add (0,5)=49 Failed, w=134\",\"Add (4,6)=49 Failed, w=134\",\"Add (1,4)=54 Failed, w=134\",\"Add (2,6)=55 Failed, w=134\",\"Add (3,7)=55 Failed, w=134\",\"Add (2,3)=56 Failed, w=134\",\"Add (5,6)=58 Failed, w=134\",\"Add (5,7)=59 Failed, w=134\",\"Add (1,7)=63 Failed, w=134\",\"Add (2,7)=64 Failed, w=134\",\"Add (0,2)=75 Failed, w=134\",\"Add (0,6)=76 Failed, w=134\",\"Add (3,4)=76 Failed, w=134\",\"Add (1,5)=81 Failed, w=134\",\"Add (1,2)=82 Failed, w=134\",\"Add (3,5)=90 Failed, w=134\",\"Add (1,6)=91 Failed, w=134\",\"Add (4,7)=92 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\":[[0,1,23],[0,2,75],[0,3,4],[0,4,38],[0,5,49],[0,6,76],[0,7,27],[1,2,82],[1,3,38],[1,4,54],[1,5,81],[1,6,91],[1,7,63],[2,3,56],[2,4,17],[2,6,55],[2,7,64],[3,4,76],[3,5,90],[3,6,19],[3,7,55],[4,5,6],[4,6,49],[4,7,92],[5,6,58],[5,7,59],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(4,5)=6,(2,4)=17,(3,6)=19,(0,1)=23,(0,7)=27,(6,7)=31,(0,4)=38,(1,3)=38,(0,5)=49,(4,6)=49,(1,4)=54,(2,6)=55,(3,7)=55,(2,3)=56,(5,6)=58,(5,7)=59,(1,7)=63,(2,7)=64,(0,2)=75,(0,6)=76,(3,4)=76,(1,5)=81,(1,2)=82,(3,5)=90,(1,6)=91,(4,7)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=27\",\"Find(3)=0, Find(6)=6, Add (3,6)=19 Succeeded, w=46\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=69\",\"Find(0)=0, Find(7)=7, Add (0,7)=27 Succeeded, w=96\",\"Find(6)=0, Find(7)=0, Add (6,7)=31 Failed, w=96\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=134\",\"Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=134\",\"Find(0)=0, Find(5)=0, Add (0,5)=49 Failed, w=134\",\"Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=134\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=134\",\"Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=134\",\"Find(3)=0, Find(7)=0, Add (3,7)=55 Failed, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=134\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=134\",\"Find(5)=0, Find(7)=0, Add (5,7)=59 Failed, w=134\",\"Find(1)=0, Find(7)=0, Add (1,7)=63 Failed, w=134\",\"Find(2)=0, Find(7)=0, Add (2,7)=64 Failed, w=134\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=134\",\"Find(0)=0, Find(6)=0, Add (0,6)=76 Failed, w=134\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=134\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=134\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=134\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=134\",\"Find(1)=0, Find(6)=0, Add (1,6)=91 Failed, w=134\",\"Find(4)=0, Find(7)=0, Add (4,7)=92 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\":[[0,1,23],[0,2,75],[0,3,4],[0,4,38],[0,5,49],[0,6,76],[0,7,27],[1,2,82],[1,3,38],[1,4,54],[1,5,81],[1,6,91],[1,7,63],[2,3,56],[2,4,17],[2,6,55],[2,7,64],[3,4,76],[3,5,90],[3,6,19],[3,7,55],[4,5,6],[4,6,49],[4,7,92],[5,6,58],[5,7,59],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(4,5)=6,(2,4)=17,(3,6)=19,(0,1)=23,(0,7)=27,(6,7)=31,(0,4)=38,(1,3)=38,(0,5)=49,(4,6)=49,(1,4)=54,(2,6)=55,(3,7)=55,(2,3)=56,(5,6)=58,(5,7)=59,(1,7)=63,(2,7)=64,(0,2)=75,(0,6)=76,(3,4)=76,(1,5)=81,(1,2)=82,(3,5)=90,(1,6)=91,(4,7)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 0, 7: 7}, Find(3)=0, Find(6)=6, Add (3,6)=19 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 0, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=27 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=31 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=49 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=134\",\"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)=55 Failed, w=134\",\"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)=55 Failed, w=134\",\"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)=56 Failed, w=134\",\"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)=58 Failed, w=134\",\"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)=59 Failed, w=134\",\"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)=63 Failed, w=134\",\"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)=64 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=134\",\"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)=76 Failed, w=134\",\"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)=76 Failed, w=134\",\"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)=81 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=134\",\"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=134\",\"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)=91 Failed, w=134\",\"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)=92 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,25],[0,4,95],[0,5,13],[0,6,97],[1,2,28],[1,3,48],[2,4,44],[2,5,32],[2,6,68],[3,4,65],[3,6,4],[4,5,54],[4,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,25],[0,4,95],[0,5,13],[0,6,97],[1,2,28],[1,3,48],[2,4,44],[2,5,32],[2,6,68],[3,4,65],[3,6,4],[4,5,54],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,25],[0,4,95],[0,5,13],[0,6,97],[1,2,28],[1,3,48],[2,4,44],[2,5,32],[2,6,68],[3,4,65],[3,6,4],[4,5,54],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,25],[0,4,95],[0,5,13],[0,6,97],[1,2,28],[1,3,48],[2,4,44],[2,5,32],[2,6,68],[3,4,65],[3,6,4],[4,5,54],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=4, w=4\",\"Add (0,5)=13, w=17\",\"Add (0,1)=22, w=39\",\"Add (0,2)=25, w=64\",\"Add (2,4)=44, w=108\",\"Add (1,3)=48, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,25],[0,4,95],[0,5,13],[0,6,97],[1,2,28],[1,3,48],[2,4,44],[2,5,32],[2,6,68],[3,4,65],[3,6,4],[4,5,54],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=4 Succeeded, w=4\",\"Add (0,5)=13 Succeeded, w=17\",\"Add (0,1)=22 Succeeded, w=39\",\"Add (0,2)=25 Succeeded, w=64\",\"Add (1,2)=28 Failed, w=64\",\"Add (2,5)=32 Failed, w=64\",\"Add (2,4)=44 Succeeded, w=108\",\"Add (1,3)=48 Succeeded, w=156\",\"Add (4,5)=54 Failed, w=156\",\"Add (3,4)=65 Failed, w=156\",\"Add (2,6)=68 Failed, w=156\",\"Add (4,6)=85 Failed, w=156\",\"Add (0,4)=95 Failed, w=156\",\"Add (0,6)=97 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,25],[0,4,95],[0,5,13],[0,6,97],[1,2,28],[1,3,48],[2,4,44],[2,5,32],[2,6,68],[3,4,65],[3,6,4],[4,5,54],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=4,(0,5)=13,(0,1)=22,(0,2)=25,(1,2)=28,(2,5)=32,(2,4)=44,(1,3)=48,(4,5)=54,(3,4)=65,(2,6)=68,(4,6)=85,(0,4)=95,(0,6)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=39\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=64\",\"Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=64\",\"Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=64\",\"Find(2)=0, Find(4)=4, Add (2,4)=44 Succeeded, w=108\",\"Find(1)=0, Find(3)=3, Add (1,3)=48 Succeeded, w=156\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=156\",\"Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=156\",\"Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=156\",\"Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=156\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=156\",\"Find(0)=0, Find(6)=0, Add (0,6)=97 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,25],[0,4,95],[0,5,13],[0,6,97],[1,2,28],[1,3,48],[2,4,44],[2,5,32],[2,6,68],[3,4,65],[3,6,4],[4,5,54],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=4,(0,5)=13,(0,1)=22,(0,2)=25,(1,2)=28,(2,5)=32,(2,4)=44,(1,3)=48,(4,5)=54,(3,4)=65,(2,6)=68,(4,6)=85,(0,4)=95,(0,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3}, Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3}, Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3}, Find(2)=0, Find(4)=4, Add (2,4)=44 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(3)=3, Add (1,3)=48 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=156\",\"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=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=97 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,3,6],[1,2,1],[1,3,48],[2,3,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,6],[1,2,1],[1,3,48],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,6],[1,2,1],[1,3,48],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,6],[1,2,1],[1,3,48],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,3)=6, w=7\",\"Add (2,3)=7, w=14\"],\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,6],[1,2,1],[1,3,48],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,3)=6 Succeeded, w=7\",\"Add (2,3)=7 Succeeded, w=14\",\"Add (0,1)=11 Failed, w=14\",\"Add (1,3)=48 Failed, w=14\"],\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,6],[1,2,1],[1,3,48],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=6,(2,3)=7,(0,1)=11,(1,3)=48]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=7\",\"Find(2)=1, Find(3)=0, Add (2,3)=7 Succeeded, w=14\",\"Find(0)=1, Find(1)=1, Add (0,1)=11 Failed, w=14\",\"Find(1)=1, Find(3)=1, Add (1,3)=48 Failed, w=14\"],\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,6],[1,2,1],[1,3,48],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=6,(2,3)=7,(0,1)=11,(1,3)=48]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=7 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=11 Failed, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=48 Failed, w=14\"],\"Answer\":14}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,14],[0,3,95],[0,4,39],[0,6,92],[1,3,31],[1,4,7],[1,5,74],[1,6,57],[2,3,76],[2,4,47],[2,5,42],[2,6,19],[3,5,51],[3,6,1],[4,5,66],[4,6,71],[5,6,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,14],[0,3,95],[0,4,39],[0,6,92],[1,3,31],[1,4,7],[1,5,74],[1,6,57],[2,3,76],[2,4,47],[2,5,42],[2,6,19],[3,5,51],[3,6,1],[4,5,66],[4,6,71],[5,6,46]]}",
"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],\"edges\":[[0,1,84],[0,2,14],[0,3,95],[0,4,39],[0,6,92],[1,3,31],[1,4,7],[1,5,74],[1,6,57],[2,3,76],[2,4,47],[2,5,42],[2,6,19],[3,5,51],[3,6,1],[4,5,66],[4,6,71],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (2,5)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,14],[0,3,95],[0,4,39],[0,6,92],[1,3,31],[1,4,7],[1,5,74],[1,6,57],[2,3,76],[2,4,47],[2,5,42],[2,6,19],[3,5,51],[3,6,1],[4,5,66],[4,6,71],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (1,4)=7, w=8\",\"Add (0,2)=14, w=22\",\"Add (2,6)=19, w=41\",\"Add (1,3)=31, w=72\",\"Add (2,5)=42, 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],\"edges\":[[0,1,84],[0,2,14],[0,3,95],[0,4,39],[0,6,92],[1,3,31],[1,4,7],[1,5,74],[1,6,57],[2,3,76],[2,4,47],[2,5,42],[2,6,19],[3,5,51],[3,6,1],[4,5,66],[4,6,71],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (1,4)=7 Succeeded, w=8\",\"Add (0,2)=14 Succeeded, w=22\",\"Add (2,6)=19 Succeeded, w=41\",\"Add (1,3)=31 Succeeded, w=72\",\"Add (0,4)=39 Failed, w=72\",\"Add (2,5)=42 Succeeded, w=114\",\"Add (5,6)=46 Failed, w=114\",\"Add (2,4)=47 Failed, w=114\",\"Add (3,5)=51 Failed, w=114\",\"Add (1,6)=57 Failed, w=114\",\"Add (4,5)=66 Failed, w=114\",\"Add (4,6)=71 Failed, w=114\",\"Add (1,5)=74 Failed, w=114\",\"Add (2,3)=76 Failed, w=114\",\"Add (0,1)=84 Failed, w=114\",\"Add (0,6)=92 Failed, w=114\",\"Add (0,3)=95 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,14],[0,3,95],[0,4,39],[0,6,92],[1,3,31],[1,4,7],[1,5,74],[1,6,57],[2,3,76],[2,4,47],[2,5,42],[2,6,19],[3,5,51],[3,6,1],[4,5,66],[4,6,71],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(1,4)=7,(0,2)=14,(2,6)=19,(1,3)=31,(0,4)=39,(2,5)=42,(5,6)=46,(2,4)=47,(3,5)=51,(1,6)=57,(4,5)=66,(4,6)=71,(1,5)=74,(2,3)=76,(0,1)=84,(0,6)=92,(0,3)=95]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=22\",\"Find(2)=0, Find(6)=3, Add (2,6)=19 Succeeded, w=41\",\"Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=72\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=72\",\"Find(2)=0, Find(5)=5, Add (2,5)=42 Succeeded, w=114\",\"Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=114\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=114\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=114\",\"Find(1)=0, Find(6)=0, Add (1,6)=57 Failed, w=114\",\"Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=114\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=114\",\"Find(1)=0, Find(5)=0, Add (1,5)=74 Failed, w=114\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=114\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=114\",\"Find(0)=0, Find(6)=0, Add (0,6)=92 Failed, w=114\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,14],[0,3,95],[0,4,39],[0,6,92],[1,3,31],[1,4,7],[1,5,74],[1,6,57],[2,3,76],[2,4,47],[2,5,42],[2,6,19],[3,5,51],[3,6,1],[4,5,66],[4,6,71],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(1,4)=7,(0,2)=14,(2,6)=19,(1,3)=31,(0,4)=39,(2,5)=42,(5,6)=46,(2,4)=47,(3,5)=51,(1,6)=57,(4,5)=66,(4,6)=71,(1,5)=74,(2,3)=76,(0,1)=84,(0,6)=92,(0,3)=95]\",\"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: 1, 5: 5, 6: 3}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5, 6: 3}, Find(2)=0, Find(6)=3, Add (2,6)=19 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 5, 6: 3}, Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3}, Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(2)=0, Find(5)=5, Add (2,5)=42 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=57 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=114\",\"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=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=74 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=92 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,22],[0,4,32],[0,5,29],[1,2,91],[2,3,82],[2,4,97],[2,5,85],[3,4,14],[3,5,95],[4,5,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,4,32],[0,5,29],[1,2,91],[2,3,82],[2,4,97],[2,5,85],[3,4,14],[3,5,95],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,4,32],[0,5,29],[1,2,91],[2,3,82],[2,4,97],[2,5,85],[3,4,14],[3,5,95],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,4,32],[0,5,29],[1,2,91],[2,3,82],[2,4,97],[2,5,85],[3,4,14],[3,5,95],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=14, w=14\",\"Add (0,2)=22, w=36\",\"Add (0,5)=29, w=65\",\"Add (4,5)=29, w=94\",\"Add (1,2)=91, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,4,32],[0,5,29],[1,2,91],[2,3,82],[2,4,97],[2,5,85],[3,4,14],[3,5,95],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=14 Succeeded, w=14\",\"Add (0,2)=22 Succeeded, w=36\",\"Add (0,5)=29 Succeeded, w=65\",\"Add (4,5)=29 Succeeded, w=94\",\"Add (0,4)=32 Failed, w=94\",\"Add (2,3)=82 Failed, w=94\",\"Add (2,5)=85 Failed, w=94\",\"Add (1,2)=91 Succeeded, w=185\",\"Add (3,5)=95 Failed, w=185\",\"Add (2,4)=97 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,4,32],[0,5,29],[1,2,91],[2,3,82],[2,4,97],[2,5,85],[3,4,14],[3,5,95],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=14,(0,2)=22,(0,5)=29,(4,5)=29,(0,4)=32,(2,3)=82,(2,5)=85,(1,2)=91,(3,5)=95,(2,4)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=36\",\"Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=65\",\"Find(4)=3, Find(5)=0, Add (4,5)=29 Succeeded, w=94\",\"Find(0)=3, Find(4)=3, Add (0,4)=32 Failed, w=94\",\"Find(2)=3, Find(3)=3, Add (2,3)=82 Failed, w=94\",\"Find(2)=3, Find(5)=3, Add (2,5)=85 Failed, w=94\",\"Find(1)=1, Find(2)=3, Add (1,2)=91 Succeeded, w=185\",\"Find(3)=3, Find(5)=3, Add (3,5)=95 Failed, w=185\",\"Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,4,32],[0,5,29],[1,2,91],[2,3,82],[2,4,97],[2,5,85],[3,4,14],[3,5,95],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=14,(0,2)=22,(0,5)=29,(4,5)=29,(0,4)=32,(2,3)=82,(2,5)=85,(1,2)=91,(3,5)=95,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=65\",\"Parent: {0: 3, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(4)=3, Find(5)=0, Add (4,5)=29 Succeeded, w=94\",\"Parent: {0: 3, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(4)=3, Add (0,4)=32 Failed, w=94\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=3, Find(3)=3, Add (2,3)=82 Failed, w=94\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=85 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(2)=3, Add (1,2)=91 Succeeded, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=95 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,18],[0,2,12],[0,3,73],[0,4,0],[0,5,9],[0,6,16],[0,7,20],[1,2,97],[1,3,68],[1,4,5],[1,5,100],[1,6,30],[1,7,24],[2,3,97],[2,4,14],[2,5,98],[2,6,2],[2,7,89],[3,4,73],[3,5,70],[3,6,54],[3,7,38],[4,5,34],[4,6,28],[4,7,75],[5,6,65],[5,7,16],[6,7,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,12],[0,3,73],[0,4,0],[0,5,9],[0,6,16],[0,7,20],[1,2,97],[1,3,68],[1,4,5],[1,5,100],[1,6,30],[1,7,24],[2,3,97],[2,4,14],[2,5,98],[2,6,2],[2,7,89],[3,4,73],[3,5,70],[3,6,54],[3,7,38],[4,5,34],[4,6,28],[4,7,75],[5,6,65],[5,7,16],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,12],[0,3,73],[0,4,0],[0,5,9],[0,6,16],[0,7,20],[1,2,97],[1,3,68],[1,4,5],[1,5,100],[1,6,30],[1,7,24],[2,3,97],[2,4,14],[2,5,98],[2,6,2],[2,7,89],[3,4,73],[3,5,70],[3,6,54],[3,7,38],[4,5,34],[4,6,28],[4,7,75],[5,6,65],[5,7,16],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (5,7)\",\"Add (3,7)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,12],[0,3,73],[0,4,0],[0,5,9],[0,6,16],[0,7,20],[1,2,97],[1,3,68],[1,4,5],[1,5,100],[1,6,30],[1,7,24],[2,3,97],[2,4,14],[2,5,98],[2,6,2],[2,7,89],[3,4,73],[3,5,70],[3,6,54],[3,7,38],[4,5,34],[4,6,28],[4,7,75],[5,6,65],[5,7,16],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (2,6)=2, w=2\",\"Add (1,4)=5, w=7\",\"Add (0,5)=9, w=16\",\"Add (0,2)=12, w=28\",\"Add (5,7)=16, w=44\",\"Add (3,7)=38, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,12],[0,3,73],[0,4,0],[0,5,9],[0,6,16],[0,7,20],[1,2,97],[1,3,68],[1,4,5],[1,5,100],[1,6,30],[1,7,24],[2,3,97],[2,4,14],[2,5,98],[2,6,2],[2,7,89],[3,4,73],[3,5,70],[3,6,54],[3,7,38],[4,5,34],[4,6,28],[4,7,75],[5,6,65],[5,7,16],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (2,6)=2 Succeeded, w=2\",\"Add (1,4)=5 Succeeded, w=7\",\"Add (0,5)=9 Succeeded, w=16\",\"Add (0,2)=12 Succeeded, w=28\",\"Add (2,4)=14 Failed, w=28\",\"Add (0,6)=16 Failed, w=28\",\"Add (5,7)=16 Succeeded, w=44\",\"Add (0,1)=18 Failed, w=44\",\"Add (0,7)=20 Failed, w=44\",\"Add (1,7)=24 Failed, w=44\",\"Add (4,6)=28 Failed, w=44\",\"Add (1,6)=30 Failed, w=44\",\"Add (4,5)=34 Failed, w=44\",\"Add (6,7)=34 Failed, w=44\",\"Add (3,7)=38 Succeeded, w=82\",\"Add (3,6)=54 Failed, w=82\",\"Add (5,6)=65 Failed, w=82\",\"Add (1,3)=68 Failed, w=82\",\"Add (3,5)=70 Failed, w=82\",\"Add (0,3)=73 Failed, w=82\",\"Add (3,4)=73 Failed, w=82\",\"Add (4,7)=75 Failed, w=82\",\"Add (2,7)=89 Failed, w=82\",\"Add (1,2)=97 Failed, w=82\",\"Add (2,3)=97 Failed, w=82\",\"Add (2,5)=98 Failed, w=82\",\"Add (1,5)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,12],[0,3,73],[0,4,0],[0,5,9],[0,6,16],[0,7,20],[1,2,97],[1,3,68],[1,4,5],[1,5,100],[1,6,30],[1,7,24],[2,3,97],[2,4,14],[2,5,98],[2,6,2],[2,7,89],[3,4,73],[3,5,70],[3,6,54],[3,7,38],[4,5,34],[4,6,28],[4,7,75],[5,6,65],[5,7,16],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,6)=2,(1,4)=5,(0,5)=9,(0,2)=12,(2,4)=14,(0,6)=16,(5,7)=16,(0,1)=18,(0,7)=20,(1,7)=24,(4,6)=28,(1,6)=30,(4,5)=34,(6,7)=34,(3,7)=38,(3,6)=54,(5,6)=65,(1,3)=68,(3,5)=70,(0,3)=73,(3,4)=73,(4,7)=75,(2,7)=89,(1,2)=97,(2,3)=97,(2,5)=98,(1,5)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=0, Add (1,4)=5 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=28\",\"Find(2)=0, Find(4)=0, Add (2,4)=14 Failed, w=28\",\"Find(0)=0, Find(6)=0, Add (0,6)=16 Failed, w=28\",\"Find(5)=0, Find(7)=7, Add (5,7)=16 Succeeded, w=44\",\"Find(0)=0, Find(1)=0, Add (0,1)=18 Failed, w=44\",\"Find(0)=0, Find(7)=0, Add (0,7)=20 Failed, w=44\",\"Find(1)=0, Find(7)=0, Add (1,7)=24 Failed, w=44\",\"Find(4)=0, Find(6)=0, Add (4,6)=28 Failed, w=44\",\"Find(1)=0, Find(6)=0, Add (1,6)=30 Failed, w=44\",\"Find(4)=0, Find(5)=0, Add (4,5)=34 Failed, w=44\",\"Find(6)=0, Find(7)=0, Add (6,7)=34 Failed, w=44\",\"Find(3)=3, Find(7)=0, Add (3,7)=38 Succeeded, w=82\",\"Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=82\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=82\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=82\",\"Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=82\",\"Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=82\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=82\",\"Find(4)=0, Find(7)=0, Add (4,7)=75 Failed, w=82\",\"Find(2)=0, Find(7)=0, Add (2,7)=89 Failed, w=82\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=82\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=82\",\"Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=82\",\"Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,12],[0,3,73],[0,4,0],[0,5,9],[0,6,16],[0,7,20],[1,2,97],[1,3,68],[1,4,5],[1,5,100],[1,6,30],[1,7,24],[2,3,97],[2,4,14],[2,5,98],[2,6,2],[2,7,89],[3,4,73],[3,5,70],[3,6,54],[3,7,38],[4,5,34],[4,6,28],[4,7,75],[5,6,65],[5,7,16],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,6)=2,(1,4)=5,(0,5)=9,(0,2)=12,(2,4)=14,(0,6)=16,(5,7)=16,(0,1)=18,(0,7)=20,(1,7)=24,(4,6)=28,(1,6)=30,(4,5)=34,(6,7)=34,(3,7)=38,(3,6)=54,(5,6)=65,(1,3)=68,(3,5)=70,(0,3)=73,(3,4)=73,(4,7)=75,(2,7)=89,(1,2)=97,(2,3)=97,(2,5)=98,(1,5)=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: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2, 7: 7}, Find(2)=0, Find(4)=0, Add (2,4)=14 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(6)=0, Add (0,6)=16 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=16 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=18 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=20 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=24 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=28 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=30 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=34 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=34 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=38 Succeeded, w=82\",\"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)=54 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=82\",\"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)=68 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=82\",\"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)=73 Failed, w=82\",\"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)=73 Failed, w=82\",\"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)=75 Failed, w=82\",\"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)=89 Failed, w=82\",\"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)=97 Failed, w=82\",\"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)=97 Failed, w=82\",\"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)=98 Failed, w=82\",\"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)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,55],[0,2,21],[0,3,28],[0,5,8],[0,6,84],[1,3,74],[1,4,98],[1,5,60],[2,3,32],[2,4,33],[2,5,12],[2,6,4],[3,4,60],[3,5,10],[3,6,47],[4,5,31],[4,6,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,21],[0,3,28],[0,5,8],[0,6,84],[1,3,74],[1,4,98],[1,5,60],[2,3,32],[2,4,33],[2,5,12],[2,6,4],[3,4,60],[3,5,10],[3,6,47],[4,5,31],[4,6,30]]}",
"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\":[[0,1,55],[0,2,21],[0,3,28],[0,5,8],[0,6,84],[1,3,74],[1,4,98],[1,5,60],[2,3,32],[2,4,33],[2,5,12],[2,6,4],[3,4,60],[3,5,10],[3,6,47],[4,5,31],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (0,1)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,21],[0,3,28],[0,5,8],[0,6,84],[1,3,74],[1,4,98],[1,5,60],[2,3,32],[2,4,33],[2,5,12],[2,6,4],[3,4,60],[3,5,10],[3,6,47],[4,5,31],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4, w=4\",\"Add (0,5)=8, w=12\",\"Add (3,5)=10, w=22\",\"Add (2,5)=12, w=34\",\"Add (4,6)=30, w=64\",\"Add (0,1)=55, 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\":[[0,1,55],[0,2,21],[0,3,28],[0,5,8],[0,6,84],[1,3,74],[1,4,98],[1,5,60],[2,3,32],[2,4,33],[2,5,12],[2,6,4],[3,4,60],[3,5,10],[3,6,47],[4,5,31],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4 Succeeded, w=4\",\"Add (0,5)=8 Succeeded, w=12\",\"Add (3,5)=10 Succeeded, w=22\",\"Add (2,5)=12 Succeeded, w=34\",\"Add (0,2)=21 Failed, w=34\",\"Add (0,3)=28 Failed, w=34\",\"Add (4,6)=30 Succeeded, w=64\",\"Add (4,5)=31 Failed, w=64\",\"Add (2,3)=32 Failed, w=64\",\"Add (2,4)=33 Failed, w=64\",\"Add (3,6)=47 Failed, w=64\",\"Add (0,1)=55 Succeeded, w=119\",\"Add (1,5)=60 Failed, w=119\",\"Add (3,4)=60 Failed, w=119\",\"Add (1,3)=74 Failed, w=119\",\"Add (0,6)=84 Failed, w=119\",\"Add (1,4)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,21],[0,3,28],[0,5,8],[0,6,84],[1,3,74],[1,4,98],[1,5,60],[2,3,32],[2,4,33],[2,5,12],[2,6,4],[3,4,60],[3,5,10],[3,6,47],[4,5,31],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(0,5)=8,(3,5)=10,(2,5)=12,(0,2)=21,(0,3)=28,(4,6)=30,(4,5)=31,(2,3)=32,(2,4)=33,(3,6)=47,(0,1)=55,(1,5)=60,(3,4)=60,(1,3)=74,(0,6)=84,(1,4)=98]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=12\",\"Find(3)=3, Find(5)=0, Add (3,5)=10 Succeeded, w=22\",\"Find(2)=2, Find(5)=0, Add (2,5)=12 Succeeded, w=34\",\"Find(0)=2, Find(2)=2, Add (0,2)=21 Failed, w=34\",\"Find(0)=2, Find(3)=2, Add (0,3)=28 Failed, w=34\",\"Find(4)=4, Find(6)=2, Add (4,6)=30 Succeeded, w=64\",\"Find(4)=2, Find(5)=2, Add (4,5)=31 Failed, w=64\",\"Find(2)=2, Find(3)=2, Add (2,3)=32 Failed, w=64\",\"Find(2)=2, Find(4)=2, Add (2,4)=33 Failed, w=64\",\"Find(3)=2, Find(6)=2, Add (3,6)=47 Failed, w=64\",\"Find(0)=2, Find(1)=1, Add (0,1)=55 Succeeded, w=119\",\"Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=119\",\"Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=119\",\"Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=119\",\"Find(0)=2, Find(6)=2, Add (0,6)=84 Failed, w=119\",\"Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,21],[0,3,28],[0,5,8],[0,6,84],[1,3,74],[1,4,98],[1,5,60],[2,3,32],[2,4,33],[2,5,12],[2,6,4],[3,4,60],[3,5,10],[3,6,47],[4,5,31],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(0,5)=8,(3,5)=10,(2,5)=12,(0,2)=21,(0,3)=28,(4,6)=30,(4,5)=31,(2,3)=32,(2,4)=33,(3,6)=47,(0,1)=55,(1,5)=60,(3,4)=60,(1,3)=74,(0,6)=84,(1,4)=98]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2}, Find(3)=3, Find(5)=0, Add (3,5)=10 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2}, Find(2)=2, Find(5)=0, Add (2,5)=12 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=21 Failed, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=28 Failed, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=30 Succeeded, w=64\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=31 Failed, w=64\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=32 Failed, w=64\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=33 Failed, w=64\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=47 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=1, Add (0,1)=55 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=84 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,100],[0,2,71],[0,3,49],[1,2,80],[2,3,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,71],[0,3,49],[1,2,80],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,71],[0,3,49],[1,2,80],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,71],[0,3,49],[1,2,80],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=49, w=49\",\"Add (0,2)=71, w=120\",\"Add (1,2)=80, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,71],[0,3,49],[1,2,80],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=49 Succeeded, w=49\",\"Add (0,2)=71 Succeeded, w=120\",\"Add (1,2)=80 Succeeded, w=200\",\"Add (2,3)=88 Failed, w=200\",\"Add (0,1)=100 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,71],[0,3,49],[1,2,80],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=49,(0,2)=71,(1,2)=80,(2,3)=88,(0,1)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=49\",\"Find(0)=0, Find(2)=2, Add (0,2)=71 Succeeded, w=120\",\"Find(1)=1, Find(2)=0, Add (1,2)=80 Succeeded, w=200\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=200\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,71],[0,3,49],[1,2,80],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=49,(0,2)=71,(1,2)=80,(2,3)=88,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=71 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=80 Succeeded, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,35],[0,2,53],[0,3,18],[0,4,18],[0,5,23],[1,2,67],[1,3,39],[1,4,33],[1,5,85],[2,3,37],[2,4,18],[2,5,66],[3,4,5],[3,5,54],[4,5,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,53],[0,3,18],[0,4,18],[0,5,23],[1,2,67],[1,3,39],[1,4,33],[1,5,85],[2,3,37],[2,4,18],[2,5,66],[3,4,5],[3,5,54],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,53],[0,3,18],[0,4,18],[0,5,23],[1,2,67],[1,3,39],[1,4,33],[1,5,85],[2,3,37],[2,4,18],[2,5,66],[3,4,5],[3,5,54],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,53],[0,3,18],[0,4,18],[0,5,23],[1,2,67],[1,3,39],[1,4,33],[1,5,85],[2,3,37],[2,4,18],[2,5,66],[3,4,5],[3,5,54],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (0,3)=18, w=23\",\"Add (2,4)=18, w=41\",\"Add (0,5)=23, w=64\",\"Add (1,4)=33, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,53],[0,3,18],[0,4,18],[0,5,23],[1,2,67],[1,3,39],[1,4,33],[1,5,85],[2,3,37],[2,4,18],[2,5,66],[3,4,5],[3,5,54],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (0,3)=18 Succeeded, w=23\",\"Add (0,4)=18 Failed, w=23\",\"Add (2,4)=18 Succeeded, w=41\",\"Add (0,5)=23 Succeeded, w=64\",\"Add (1,4)=33 Succeeded, w=97\",\"Add (0,1)=35 Failed, w=97\",\"Add (2,3)=37 Failed, w=97\",\"Add (1,3)=39 Failed, w=97\",\"Add (4,5)=51 Failed, w=97\",\"Add (0,2)=53 Failed, w=97\",\"Add (3,5)=54 Failed, w=97\",\"Add (2,5)=66 Failed, w=97\",\"Add (1,2)=67 Failed, w=97\",\"Add (1,5)=85 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,53],[0,3,18],[0,4,18],[0,5,23],[1,2,67],[1,3,39],[1,4,33],[1,5,85],[2,3,37],[2,4,18],[2,5,66],[3,4,5],[3,5,54],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(0,3)=18,(0,4)=18,(2,4)=18,(0,5)=23,(1,4)=33,(0,1)=35,(2,3)=37,(1,3)=39,(4,5)=51,(0,2)=53,(3,5)=54,(2,5)=66,(1,2)=67,(1,5)=85]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=23\",\"Find(0)=3, Find(4)=3, Add (0,4)=18 Failed, w=23\",\"Find(2)=2, Find(4)=3, Add (2,4)=18 Succeeded, w=41\",\"Find(0)=3, Find(5)=5, Add (0,5)=23 Succeeded, w=64\",\"Find(1)=1, Find(4)=3, Add (1,4)=33 Succeeded, w=97\",\"Find(0)=3, Find(1)=3, Add (0,1)=35 Failed, w=97\",\"Find(2)=3, Find(3)=3, Add (2,3)=37 Failed, w=97\",\"Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=97\",\"Find(4)=3, Find(5)=3, Add (4,5)=51 Failed, w=97\",\"Find(0)=3, Find(2)=3, Add (0,2)=53 Failed, w=97\",\"Find(3)=3, Find(5)=3, Add (3,5)=54 Failed, w=97\",\"Find(2)=3, Find(5)=3, Add (2,5)=66 Failed, w=97\",\"Find(1)=3, Find(2)=3, Add (1,2)=67 Failed, w=97\",\"Find(1)=3, Find(5)=3, Add (1,5)=85 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,53],[0,3,18],[0,4,18],[0,5,23],[1,2,67],[1,3,39],[1,4,33],[1,5,85],[2,3,37],[2,4,18],[2,5,66],[3,4,5],[3,5,54],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(0,3)=18,(0,4)=18,(2,4)=18,(0,5)=23,(1,4)=33,(0,1)=35,(2,3)=37,(1,3)=39,(4,5)=51,(0,2)=53,(3,5)=54,(2,5)=66,(1,2)=67,(1,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=23\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=3, Find(4)=3, Add (0,4)=18 Failed, w=23\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=18 Succeeded, w=41\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=5, Add (0,5)=23 Succeeded, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(4)=3, Add (1,4)=33 Succeeded, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=35 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=37 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=51 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=53 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=54 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=66 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=67 Failed, w=97\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=85 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,21],[0,4,26],[0,5,72],[1,3,77],[2,3,32],[2,5,0],[3,5,53],[4,5,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,4,26],[0,5,72],[1,3,77],[2,3,32],[2,5,0],[3,5,53],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,4,26],[0,5,72],[1,3,77],[2,3,32],[2,5,0],[3,5,53],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,4,26],[0,5,72],[1,3,77],[2,3,32],[2,5,0],[3,5,53],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (0,2)=21, w=21\",\"Add (0,4)=26, w=47\",\"Add (2,3)=32, w=79\",\"Add (1,3)=77, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,4,26],[0,5,72],[1,3,77],[2,3,32],[2,5,0],[3,5,53],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (0,2)=21 Succeeded, w=21\",\"Add (0,4)=26 Succeeded, w=47\",\"Add (4,5)=27 Failed, w=47\",\"Add (2,3)=32 Succeeded, w=79\",\"Add (3,5)=53 Failed, w=79\",\"Add (0,5)=72 Failed, w=79\",\"Add (1,3)=77 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,4,26],[0,5,72],[1,3,77],[2,3,32],[2,5,0],[3,5,53],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,2)=21,(0,4)=26,(4,5)=27,(2,3)=32,(3,5)=53,(0,5)=72,(1,3)=77]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=21\",\"Find(0)=2, Find(4)=4, Add (0,4)=26 Succeeded, w=47\",\"Find(4)=2, Find(5)=2, Add (4,5)=27 Failed, w=47\",\"Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=79\",\"Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=79\",\"Find(0)=2, Find(5)=2, Add (0,5)=72 Failed, w=79\",\"Find(1)=1, Find(3)=2, Add (1,3)=77 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,21],[0,4,26],[0,5,72],[1,3,77],[2,3,32],[2,5,0],[3,5,53],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,2)=21,(0,4)=26,(4,5)=27,(2,3)=32,(3,5)=53,(0,5)=72,(1,3)=77]\",\"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: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(4)=4, Add (0,4)=26 Succeeded, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=27 Failed, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=79\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=79\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=72 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=77 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,89],[0,2,55],[0,3,8],[0,4,36],[0,5,65],[0,7,21],[1,2,72],[1,3,75],[1,5,30],[1,7,99],[2,3,15],[2,6,78],[2,7,87],[3,4,86],[3,7,4],[4,5,100],[4,6,69],[4,7,47],[5,6,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,55],[0,3,8],[0,4,36],[0,5,65],[0,7,21],[1,2,72],[1,3,75],[1,5,30],[1,7,99],[2,3,15],[2,6,78],[2,7,87],[3,4,86],[3,7,4],[4,5,100],[4,6,69],[4,7,47],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,55],[0,3,8],[0,4,36],[0,5,65],[0,7,21],[1,2,72],[1,3,75],[1,5,30],[1,7,99],[2,3,15],[2,6,78],[2,7,87],[3,4,86],[3,7,4],[4,5,100],[4,6,69],[4,7,47],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (3,7)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,55],[0,3,8],[0,4,36],[0,5,65],[0,7,21],[1,2,72],[1,3,75],[1,5,30],[1,7,99],[2,3,15],[2,6,78],[2,7,87],[3,4,86],[3,7,4],[4,5,100],[4,6,69],[4,7,47],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2, w=2\",\"Add (3,7)=4, w=6\",\"Add (0,3)=8, w=14\",\"Add (2,3)=15, w=29\",\"Add (1,5)=30, w=59\",\"Add (0,4)=36, w=95\",\"Add (0,5)=65, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,55],[0,3,8],[0,4,36],[0,5,65],[0,7,21],[1,2,72],[1,3,75],[1,5,30],[1,7,99],[2,3,15],[2,6,78],[2,7,87],[3,4,86],[3,7,4],[4,5,100],[4,6,69],[4,7,47],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2 Succeeded, w=2\",\"Add (3,7)=4 Succeeded, w=6\",\"Add (0,3)=8 Succeeded, w=14\",\"Add (2,3)=15 Succeeded, w=29\",\"Add (0,7)=21 Failed, w=29\",\"Add (1,5)=30 Succeeded, w=59\",\"Add (0,4)=36 Succeeded, w=95\",\"Add (4,7)=47 Failed, w=95\",\"Add (0,2)=55 Failed, w=95\",\"Add (0,5)=65 Succeeded, w=160\",\"Add (4,6)=69 Failed, w=160\",\"Add (1,2)=72 Failed, w=160\",\"Add (1,3)=75 Failed, w=160\",\"Add (2,6)=78 Failed, w=160\",\"Add (3,4)=86 Failed, w=160\",\"Add (2,7)=87 Failed, w=160\",\"Add (0,1)=89 Failed, w=160\",\"Add (1,7)=99 Failed, w=160\",\"Add (4,5)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,55],[0,3,8],[0,4,36],[0,5,65],[0,7,21],[1,2,72],[1,3,75],[1,5,30],[1,7,99],[2,3,15],[2,6,78],[2,7,87],[3,4,86],[3,7,4],[4,5,100],[4,6,69],[4,7,47],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(3,7)=4,(0,3)=8,(2,3)=15,(0,7)=21,(1,5)=30,(0,4)=36,(4,7)=47,(0,2)=55,(0,5)=65,(4,6)=69,(1,2)=72,(1,3)=75,(2,6)=78,(3,4)=86,(2,7)=87,(0,1)=89,(1,7)=99,(4,5)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=29\",\"Find(0)=3, Find(7)=3, Add (0,7)=21 Failed, w=29\",\"Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=59\",\"Find(0)=3, Find(4)=4, Add (0,4)=36 Succeeded, w=95\",\"Find(4)=3, Find(7)=3, Add (4,7)=47 Failed, w=95\",\"Find(0)=3, Find(2)=3, Add (0,2)=55 Failed, w=95\",\"Find(0)=3, Find(5)=5, Add (0,5)=65 Succeeded, w=160\",\"Find(4)=3, Find(6)=3, Add (4,6)=69 Failed, w=160\",\"Find(1)=3, Find(2)=3, Add (1,2)=72 Failed, w=160\",\"Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=160\",\"Find(2)=3, Find(6)=3, Add (2,6)=78 Failed, w=160\",\"Find(3)=3, Find(4)=3, Add (3,4)=86 Failed, w=160\",\"Find(2)=3, Find(7)=3, Add (2,7)=87 Failed, w=160\",\"Find(0)=3, Find(1)=3, Add (0,1)=89 Failed, w=160\",\"Find(1)=3, Find(7)=3, Add (1,7)=99 Failed, w=160\",\"Find(4)=3, Find(5)=3, Add (4,5)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,55],[0,3,8],[0,4,36],[0,5,65],[0,7,21],[1,2,72],[1,3,75],[1,5,30],[1,7,99],[2,3,15],[2,6,78],[2,7,87],[3,4,86],[3,7,4],[4,5,100],[4,6,69],[4,7,47],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(3,7)=4,(0,3)=8,(2,3)=15,(0,7)=21,(1,5)=30,(0,4)=36,(4,7)=47,(0,2)=55,(0,5)=65,(4,6)=69,(1,2)=72,(1,3)=75,(2,6)=78,(3,4)=86,(2,7)=87,(0,1)=89,(1,7)=99,(4,5)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=6\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=14\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=29\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=21 Failed, w=29\",\"Parent: {0: 3, 1: 5, 2: 3, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=59\",\"Parent: {0: 3, 1: 5, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5, 7: 3}, Find(0)=3, Find(4)=4, Add (0,4)=36 Succeeded, w=95\",\"Parent: {0: 3, 1: 5, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=47 Failed, w=95\",\"Parent: {0: 3, 1: 5, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=55 Failed, w=95\",\"Parent: {0: 3, 1: 5, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5, 7: 3}, Find(0)=3, Find(5)=5, Add (0,5)=65 Succeeded, w=160\",\"Parent: {0: 3, 1: 5, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=69 Failed, w=160\",\"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)=72 Failed, w=160\",\"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)=75 Failed, w=160\",\"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)=78 Failed, w=160\",\"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)=86 Failed, w=160\",\"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)=87 Failed, w=160\",\"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)=89 Failed, w=160\",\"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)=99 Failed, w=160\",\"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)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,43],[0,3,30],[0,4,63],[0,5,94],[0,6,8],[1,2,82],[1,3,99],[1,4,57],[1,6,7],[2,4,22],[2,6,37],[3,4,25],[3,5,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,43],[0,3,30],[0,4,63],[0,5,94],[0,6,8],[1,2,82],[1,3,99],[1,4,57],[1,6,7],[2,4,22],[2,6,37],[3,4,25],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,43],[0,3,30],[0,4,63],[0,5,94],[0,6,8],[1,2,82],[1,3,99],[1,4,57],[1,6,7],[2,4,22],[2,6,37],[3,4,25],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,43],[0,3,30],[0,4,63],[0,5,94],[0,6,8],[1,2,82],[1,3,99],[1,4,57],[1,6,7],[2,4,22],[2,6,37],[3,4,25],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=7, w=7\",\"Add (0,6)=8, w=15\",\"Add (2,4)=22, w=37\",\"Add (3,4)=25, w=62\",\"Add (0,3)=30, w=92\",\"Add (3,5)=37, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,43],[0,3,30],[0,4,63],[0,5,94],[0,6,8],[1,2,82],[1,3,99],[1,4,57],[1,6,7],[2,4,22],[2,6,37],[3,4,25],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=7 Succeeded, w=7\",\"Add (0,6)=8 Succeeded, w=15\",\"Add (2,4)=22 Succeeded, w=37\",\"Add (3,4)=25 Succeeded, w=62\",\"Add (0,3)=30 Succeeded, w=92\",\"Add (2,6)=37 Failed, w=92\",\"Add (3,5)=37 Succeeded, w=129\",\"Add (0,2)=43 Failed, w=129\",\"Add (1,4)=57 Failed, w=129\",\"Add (0,4)=63 Failed, w=129\",\"Add (1,2)=82 Failed, w=129\",\"Add (0,5)=94 Failed, w=129\",\"Add (1,3)=99 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,43],[0,3,30],[0,4,63],[0,5,94],[0,6,8],[1,2,82],[1,3,99],[1,4,57],[1,6,7],[2,4,22],[2,6,37],[3,4,25],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=7,(0,6)=8,(2,4)=22,(3,4)=25,(0,3)=30,(2,6)=37,(3,5)=37,(0,2)=43,(1,4)=57,(0,4)=63,(1,2)=82,(0,5)=94,(1,3)=99]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=1, Add (0,6)=8 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=37\",\"Find(3)=3, Find(4)=2, Add (3,4)=25 Succeeded, w=62\",\"Find(0)=1, Find(3)=2, Add (0,3)=30 Succeeded, w=92\",\"Find(2)=1, Find(6)=1, Add (2,6)=37 Failed, w=92\",\"Find(3)=1, Find(5)=5, Add (3,5)=37 Succeeded, w=129\",\"Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=129\",\"Find(1)=1, Find(4)=1, Add (1,4)=57 Failed, w=129\",\"Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=129\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=129\",\"Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=129\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,43],[0,3,30],[0,4,63],[0,5,94],[0,6,8],[1,2,82],[1,3,99],[1,4,57],[1,6,7],[2,4,22],[2,6,37],[3,4,25],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=7,(0,6)=8,(2,4)=22,(3,4)=25,(0,3)=30,(2,6)=37,(3,5)=37,(0,2)=43,(1,4)=57,(0,4)=63,(1,2)=82,(0,5)=94,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=8 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1}, Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 1}, Find(3)=3, Find(4)=2, Add (3,4)=25 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 2, 5: 5, 6: 1}, Find(0)=1, Find(3)=2, Add (0,3)=30 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 2, 5: 5, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=37 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=37 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=57 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,86],[0,3,49],[0,4,1],[1,2,15],[1,3,91],[1,4,13],[2,3,64],[2,4,12],[3,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,86],[0,3,49],[0,4,1],[1,2,15],[1,3,91],[1,4,13],[2,3,64],[2,4,12],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,86],[0,3,49],[0,4,1],[1,2,15],[1,3,91],[1,4,13],[2,3,64],[2,4,12],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,86],[0,3,49],[0,4,1],[1,2,15],[1,3,91],[1,4,13],[2,3,64],[2,4,12],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (2,4)=12, w=13\",\"Add (1,4)=13, w=26\",\"Add (0,3)=49, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,86],[0,3,49],[0,4,1],[1,2,15],[1,3,91],[1,4,13],[2,3,64],[2,4,12],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (2,4)=12 Succeeded, w=13\",\"Add (1,4)=13 Succeeded, w=26\",\"Add (1,2)=15 Failed, w=26\",\"Add (0,3)=49 Succeeded, w=75\",\"Add (3,4)=52 Failed, w=75\",\"Add (2,3)=64 Failed, w=75\",\"Add (0,1)=78 Failed, w=75\",\"Add (0,2)=86 Failed, w=75\",\"Add (1,3)=91 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,86],[0,3,49],[0,4,1],[1,2,15],[1,3,91],[1,4,13],[2,3,64],[2,4,12],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,4)=12,(1,4)=13,(1,2)=15,(0,3)=49,(3,4)=52,(2,3)=64,(0,1)=78,(0,2)=86,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=0, Add (2,4)=12 Succeeded, w=13\",\"Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=26\",\"Find(1)=0, Find(2)=0, Add (1,2)=15 Failed, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=75\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=75\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=75\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=75\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=75\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,86],[0,3,49],[0,4,1],[1,2,15],[1,3,91],[1,4,13],[2,3,64],[2,4,12],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,4)=12,(1,4)=13,(1,2)=15,(0,3)=49,(3,4)=52,(2,3)=64,(0,1)=78,(0,2)=86,(1,3)=91]\",\"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: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=15 Failed, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,15],[0,2,100],[0,3,45],[0,4,33],[0,5,38],[1,3,92],[1,4,85],[1,5,57],[2,3,40],[2,4,83],[2,5,51],[3,4,1],[3,5,35],[4,5,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,45],[0,4,33],[0,5,38],[1,3,92],[1,4,85],[1,5,57],[2,3,40],[2,4,83],[2,5,51],[3,4,1],[3,5,35],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,45],[0,4,33],[0,5,38],[1,3,92],[1,4,85],[1,5,57],[2,3,40],[2,4,83],[2,5,51],[3,4,1],[3,5,35],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (2,3)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,45],[0,4,33],[0,5,38],[1,3,92],[1,4,85],[1,5,57],[2,3,40],[2,4,83],[2,5,51],[3,4,1],[3,5,35],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,1)=15, w=16\",\"Add (0,4)=33, w=49\",\"Add (3,5)=35, w=84\",\"Add (2,3)=40, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,45],[0,4,33],[0,5,38],[1,3,92],[1,4,85],[1,5,57],[2,3,40],[2,4,83],[2,5,51],[3,4,1],[3,5,35],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,1)=15 Succeeded, w=16\",\"Add (0,4)=33 Succeeded, w=49\",\"Add (3,5)=35 Succeeded, w=84\",\"Add (0,5)=38 Failed, w=84\",\"Add (2,3)=40 Succeeded, w=124\",\"Add (0,3)=45 Failed, w=124\",\"Add (2,5)=51 Failed, w=124\",\"Add (1,5)=57 Failed, w=124\",\"Add (4,5)=59 Failed, w=124\",\"Add (2,4)=83 Failed, w=124\",\"Add (1,4)=85 Failed, w=124\",\"Add (1,3)=92 Failed, w=124\",\"Add (0,2)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,45],[0,4,33],[0,5,38],[1,3,92],[1,4,85],[1,5,57],[2,3,40],[2,4,83],[2,5,51],[3,4,1],[3,5,35],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,1)=15,(0,4)=33,(3,5)=35,(0,5)=38,(2,3)=40,(0,3)=45,(2,5)=51,(1,5)=57,(4,5)=59,(2,4)=83,(1,4)=85,(1,3)=92,(0,2)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=16\",\"Find(0)=0, Find(4)=3, Add (0,4)=33 Succeeded, w=49\",\"Find(3)=0, Find(5)=5, Add (3,5)=35 Succeeded, w=84\",\"Find(0)=0, Find(5)=0, Add (0,5)=38 Failed, w=84\",\"Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=124\",\"Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=124\",\"Find(2)=0, Find(5)=0, Add (2,5)=51 Failed, w=124\",\"Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=124\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=124\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=124\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=124\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=124\",\"Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,45],[0,4,33],[0,5,38],[1,3,92],[1,4,85],[1,5,57],[2,3,40],[2,4,83],[2,5,51],[3,4,1],[3,5,35],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,1)=15,(0,4)=33,(3,5)=35,(0,5)=38,(2,3)=40,(0,3)=45,(2,5)=51,(1,5)=57,(4,5)=59,(2,4)=83,(1,4)=85,(1,3)=92,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 5}, Find(0)=0, Find(4)=3, Add (0,4)=33 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=35 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=38 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=51 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=124\",\"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=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,3,87],[1,2,72],[1,3,0],[2,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,87],[1,2,72],[1,3,0],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,87],[1,2,72],[1,3,0],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,87],[1,2,72],[1,3,0],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,3)=8, w=8\",\"Add (0,1)=34, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,87],[1,2,72],[1,3,0],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,1)=34 Succeeded, w=42\",\"Add (1,2)=72 Failed, w=42\",\"Add (0,3)=87 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,87],[1,2,72],[1,3,0],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=8,(0,1)=34,(1,2)=72,(0,3)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=42\",\"Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=42\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,87],[1,2,72],[1,3,0],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=8,(0,1)=34,(1,2)=72,(0,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,3,54],[1,2,92],[1,3,63],[2,3,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,54],[1,2,92],[1,3,63],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,54],[1,2,92],[1,3,63],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,54],[1,2,92],[1,3,63],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=49, w=49\",\"Add (0,3)=54, w=103\",\"Add (1,2)=92, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,54],[1,2,92],[1,3,63],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=49 Succeeded, w=49\",\"Add (0,3)=54 Succeeded, w=103\",\"Add (1,3)=63 Failed, w=103\",\"Add (1,2)=92 Succeeded, w=195\",\"Add (2,3)=96 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,54],[1,2,92],[1,3,63],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=49,(0,3)=54,(1,3)=63,(1,2)=92,(2,3)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=49\",\"Find(0)=0, Find(3)=3, Add (0,3)=54 Succeeded, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=103\",\"Find(1)=0, Find(2)=2, Add (1,2)=92 Succeeded, w=195\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,3,54],[1,2,92],[1,3,63],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=49,(0,3)=54,(1,3)=63,(1,2)=92,(2,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=54 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=92 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,25],[0,2,57],[0,3,1],[1,3,67],[2,3,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,57],[0,3,1],[1,3,67],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,57],[0,3,1],[1,3,67],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,57],[0,3,1],[1,3,67],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (0,1)=25, w=26\",\"Add (2,3)=46, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,57],[0,3,1],[1,3,67],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (0,1)=25 Succeeded, w=26\",\"Add (2,3)=46 Succeeded, w=72\",\"Add (0,2)=57 Failed, w=72\",\"Add (1,3)=67 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,57],[0,3,1],[1,3,67],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,1)=25,(2,3)=46,(0,2)=57,(1,3)=67]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=26\",\"Find(2)=2, Find(3)=0, Add (2,3)=46 Succeeded, w=72\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=72\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,57],[0,3,1],[1,3,67],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,1)=25,(2,3)=46,(0,2)=57,(1,3)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=46 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[0,2,48],[0,3,57],[1,2,99],[1,3,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,48],[0,3,57],[1,2,99],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,48],[0,3,57],[1,2,99],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,48],[0,3,57],[1,2,99],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=42, w=42\",\"Add (0,2)=48, w=90\",\"Add (0,3)=57, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,48],[0,3,57],[1,2,99],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=42 Succeeded, w=42\",\"Add (0,2)=48 Succeeded, w=90\",\"Add (0,3)=57 Succeeded, w=147\",\"Add (1,3)=80 Failed, w=147\",\"Add (1,2)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,48],[0,3,57],[1,2,99],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=42,(0,2)=48,(0,3)=57,(1,3)=80,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=42\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=90\",\"Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=147\",\"Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=147\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,48],[0,3,57],[1,2,99],[1,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=42,(0,2)=48,(0,3)=57,(1,3)=80,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,2,35],[0,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,35],[0,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,35],[0,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,35],[0,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=35, w=35\",\"Add (0,3)=51, w=86\",\"Add (0,1)=70, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,35],[0,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=35 Succeeded, w=35\",\"Add (0,3)=51 Succeeded, w=86\",\"Add (0,1)=70 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,35],[0,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=35,(0,3)=51,(0,1)=70]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=86\",\"Find(0)=0, Find(1)=1, Add (0,1)=70 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,35],[0,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=35,(0,3)=51,(0,1)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=70 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,38],[0,2,64],[0,3,39],[1,2,65],[1,3,36],[2,3,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,64],[0,3,39],[1,2,65],[1,3,36],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,64],[0,3,39],[1,2,65],[1,3,36],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,64],[0,3,39],[1,2,65],[1,3,36],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=34, w=34\",\"Add (1,3)=36, w=70\",\"Add (0,1)=38, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,64],[0,3,39],[1,2,65],[1,3,36],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=34 Succeeded, w=34\",\"Add (1,3)=36 Succeeded, w=70\",\"Add (0,1)=38 Succeeded, w=108\",\"Add (0,3)=39 Failed, w=108\",\"Add (0,2)=64 Failed, w=108\",\"Add (1,2)=65 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,64],[0,3,39],[1,2,65],[1,3,36],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=34,(1,3)=36,(0,1)=38,(0,3)=39,(0,2)=64,(1,2)=65]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=34\",\"Find(1)=1, Find(3)=2, Add (1,3)=36 Succeeded, w=70\",\"Find(0)=0, Find(1)=2, Add (0,1)=38 Succeeded, w=108\",\"Find(0)=2, Find(3)=2, Add (0,3)=39 Failed, w=108\",\"Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=108\",\"Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,64],[0,3,39],[1,2,65],[1,3,36],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=34,(1,3)=36,(0,1)=38,(0,3)=39,(0,2)=64,(1,2)=65]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=36 Succeeded, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=38 Succeeded, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=39 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,2,57],[0,3,69],[0,4,26],[1,2,46],[1,4,61],[2,3,80],[2,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[0,3,69],[0,4,26],[1,2,46],[1,4,61],[2,3,80],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[0,3,69],[0,4,26],[1,2,46],[1,4,61],[2,3,80],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[0,3,69],[0,4,26],[1,2,46],[1,4,61],[2,3,80],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=26, w=26\",\"Add (1,2)=46, w=72\",\"Add (0,2)=57, w=129\",\"Add (0,3)=69, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[0,3,69],[0,4,26],[1,2,46],[1,4,61],[2,3,80],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=26 Succeeded, w=26\",\"Add (1,2)=46 Succeeded, w=72\",\"Add (0,2)=57 Succeeded, w=129\",\"Add (2,4)=59 Failed, w=129\",\"Add (1,4)=61 Failed, w=129\",\"Add (0,1)=65 Failed, w=129\",\"Add (0,3)=69 Succeeded, w=198\",\"Add (2,3)=80 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[0,3,69],[0,4,26],[1,2,46],[1,4,61],[2,3,80],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=26,(1,2)=46,(0,2)=57,(2,4)=59,(1,4)=61,(0,1)=65,(0,3)=69,(2,3)=80]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=72\",\"Find(0)=0, Find(2)=1, Add (0,2)=57 Succeeded, w=129\",\"Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=129\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=129\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=129\",\"Find(0)=0, Find(3)=3, Add (0,3)=69 Succeeded, w=198\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,57],[0,3,69],[0,4,26],[1,2,46],[1,4,61],[2,3,80],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=26,(1,2)=46,(0,2)=57,(2,4)=59,(1,4)=61,(0,1)=65,(0,3)=69,(2,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=57 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=69 Succeeded, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,54],[0,2,71],[0,3,10],[0,4,81],[0,5,22],[1,2,25],[1,3,72],[1,4,87],[1,5,19],[2,3,80],[2,4,90],[2,5,44],[3,4,73],[3,5,0],[4,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,71],[0,3,10],[0,4,81],[0,5,22],[1,2,25],[1,3,72],[1,4,87],[1,5,19],[2,3,80],[2,4,90],[2,5,44],[3,4,73],[3,5,0],[4,5,45]]}",
"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\":[[0,1,54],[0,2,71],[0,3,10],[0,4,81],[0,5,22],[1,2,25],[1,3,72],[1,4,87],[1,5,19],[2,3,80],[2,4,90],[2,5,44],[3,4,73],[3,5,0],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (4,5)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,71],[0,3,10],[0,4,81],[0,5,22],[1,2,25],[1,3,72],[1,4,87],[1,5,19],[2,3,80],[2,4,90],[2,5,44],[3,4,73],[3,5,0],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (0,3)=10, w=10\",\"Add (1,5)=19, w=29\",\"Add (1,2)=25, w=54\",\"Add (4,5)=45, 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\":[[0,1,54],[0,2,71],[0,3,10],[0,4,81],[0,5,22],[1,2,25],[1,3,72],[1,4,87],[1,5,19],[2,3,80],[2,4,90],[2,5,44],[3,4,73],[3,5,0],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,5)=19 Succeeded, w=29\",\"Add (0,5)=22 Failed, w=29\",\"Add (1,2)=25 Succeeded, w=54\",\"Add (2,5)=44 Failed, w=54\",\"Add (4,5)=45 Succeeded, w=99\",\"Add (0,1)=54 Failed, w=99\",\"Add (0,2)=71 Failed, w=99\",\"Add (1,3)=72 Failed, w=99\",\"Add (3,4)=73 Failed, w=99\",\"Add (2,3)=80 Failed, w=99\",\"Add (0,4)=81 Failed, w=99\",\"Add (1,4)=87 Failed, w=99\",\"Add (2,4)=90 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\":[[0,1,54],[0,2,71],[0,3,10],[0,4,81],[0,5,22],[1,2,25],[1,3,72],[1,4,87],[1,5,19],[2,3,80],[2,4,90],[2,5,44],[3,4,73],[3,5,0],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(0,3)=10,(1,5)=19,(0,5)=22,(1,2)=25,(2,5)=44,(4,5)=45,(0,1)=54,(0,2)=71,(1,3)=72,(3,4)=73,(2,3)=80,(0,4)=81,(1,4)=87,(2,4)=90]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(5)=3, Add (1,5)=19 Succeeded, w=29\",\"Find(0)=3, Find(5)=3, Add (0,5)=22 Failed, w=29\",\"Find(1)=3, Find(2)=2, Add (1,2)=25 Succeeded, w=54\",\"Find(2)=3, Find(5)=3, Add (2,5)=44 Failed, w=54\",\"Find(4)=4, Find(5)=3, Add (4,5)=45 Succeeded, w=99\",\"Find(0)=3, Find(1)=3, Add (0,1)=54 Failed, w=99\",\"Find(0)=3, Find(2)=3, Add (0,2)=71 Failed, w=99\",\"Find(1)=3, Find(3)=3, Add (1,3)=72 Failed, w=99\",\"Find(3)=3, Find(4)=3, Add (3,4)=73 Failed, w=99\",\"Find(2)=3, Find(3)=3, Add (2,3)=80 Failed, w=99\",\"Find(0)=3, Find(4)=3, Add (0,4)=81 Failed, w=99\",\"Find(1)=3, Find(4)=3, Add (1,4)=87 Failed, w=99\",\"Find(2)=3, Find(4)=3, Add (2,4)=90 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\":[[0,1,54],[0,2,71],[0,3,10],[0,4,81],[0,5,22],[1,2,25],[1,3,72],[1,4,87],[1,5,19],[2,3,80],[2,4,90],[2,5,44],[3,4,73],[3,5,0],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(0,3)=10,(1,5)=19,(0,5)=22,(1,2)=25,(2,5)=44,(4,5)=45,(0,1)=54,(0,2)=71,(1,3)=72,(3,4)=73,(2,3)=80,(0,4)=81,(1,4)=87,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=19 Succeeded, w=29\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=22 Failed, w=29\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=3, Find(2)=2, Add (1,2)=25 Succeeded, w=54\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=44 Failed, w=54\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=45 Succeeded, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=54 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=71 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=72 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=73 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=80 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=81 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=87 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=90 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,87],[0,2,88],[0,3,97],[0,4,69],[0,5,6],[0,6,47],[1,2,96],[1,5,28],[1,6,5],[2,3,62],[2,4,61],[2,5,89],[2,6,56],[3,4,86],[3,5,32],[3,6,37],[4,5,90],[4,6,90],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,88],[0,3,97],[0,4,69],[0,5,6],[0,6,47],[1,2,96],[1,5,28],[1,6,5],[2,3,62],[2,4,61],[2,5,89],[2,6,56],[3,4,86],[3,5,32],[3,6,37],[4,5,90],[4,6,90],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,88],[0,3,97],[0,4,69],[0,5,6],[0,6,47],[1,2,96],[1,5,28],[1,6,5],[2,3,62],[2,4,61],[2,5,89],[2,6,56],[3,4,86],[3,5,32],[3,6,37],[4,5,90],[4,6,90],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (2,4)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,88],[0,3,97],[0,4,69],[0,5,6],[0,6,47],[1,2,96],[1,5,28],[1,6,5],[2,3,62],[2,4,61],[2,5,89],[2,6,56],[3,4,86],[3,5,32],[3,6,37],[4,5,90],[4,6,90],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=5, w=5\",\"Add (0,5)=6, w=11\",\"Add (5,6)=19, w=30\",\"Add (3,5)=32, w=62\",\"Add (2,6)=56, w=118\",\"Add (2,4)=61, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,88],[0,3,97],[0,4,69],[0,5,6],[0,6,47],[1,2,96],[1,5,28],[1,6,5],[2,3,62],[2,4,61],[2,5,89],[2,6,56],[3,4,86],[3,5,32],[3,6,37],[4,5,90],[4,6,90],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=5 Succeeded, w=5\",\"Add (0,5)=6 Succeeded, w=11\",\"Add (5,6)=19 Succeeded, w=30\",\"Add (1,5)=28 Failed, w=30\",\"Add (3,5)=32 Succeeded, w=62\",\"Add (3,6)=37 Failed, w=62\",\"Add (0,6)=47 Failed, w=62\",\"Add (2,6)=56 Succeeded, w=118\",\"Add (2,4)=61 Succeeded, w=179\",\"Add (2,3)=62 Failed, w=179\",\"Add (0,4)=69 Failed, w=179\",\"Add (3,4)=86 Failed, w=179\",\"Add (0,1)=87 Failed, w=179\",\"Add (0,2)=88 Failed, w=179\",\"Add (2,5)=89 Failed, w=179\",\"Add (4,5)=90 Failed, w=179\",\"Add (4,6)=90 Failed, w=179\",\"Add (1,2)=96 Failed, w=179\",\"Add (0,3)=97 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,88],[0,3,97],[0,4,69],[0,5,6],[0,6,47],[1,2,96],[1,5,28],[1,6,5],[2,3,62],[2,4,61],[2,5,89],[2,6,56],[3,4,86],[3,5,32],[3,6,37],[4,5,90],[4,6,90],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=5,(0,5)=6,(5,6)=19,(1,5)=28,(3,5)=32,(3,6)=37,(0,6)=47,(2,6)=56,(2,4)=61,(2,3)=62,(0,4)=69,(3,4)=86,(0,1)=87,(0,2)=88,(2,5)=89,(4,5)=90,(4,6)=90,(1,2)=96,(0,3)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=11\",\"Find(5)=0, Find(6)=1, Add (5,6)=19 Succeeded, w=30\",\"Find(1)=0, Find(5)=0, Add (1,5)=28 Failed, w=30\",\"Find(3)=3, Find(5)=0, Add (3,5)=32 Succeeded, w=62\",\"Find(3)=0, Find(6)=0, Add (3,6)=37 Failed, w=62\",\"Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=62\",\"Find(2)=2, Find(6)=0, Add (2,6)=56 Succeeded, w=118\",\"Find(2)=0, Find(4)=4, Add (2,4)=61 Succeeded, w=179\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=179\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=179\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=179\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=179\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=179\",\"Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=179\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=179\",\"Find(4)=0, Find(6)=0, Add (4,6)=90 Failed, w=179\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=179\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,88],[0,3,97],[0,4,69],[0,5,6],[0,6,47],[1,2,96],[1,5,28],[1,6,5],[2,3,62],[2,4,61],[2,5,89],[2,6,56],[3,4,86],[3,5,32],[3,6,37],[4,5,90],[4,6,90],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=5,(0,5)=6,(5,6)=19,(1,5)=28,(3,5)=32,(3,6)=37,(0,6)=47,(2,6)=56,(2,4)=61,(2,3)=62,(0,4)=69,(3,4)=86,(0,1)=87,(0,2)=88,(2,5)=89,(4,5)=90,(4,6)=90,(1,2)=96,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(5)=0, Find(6)=1, Add (5,6)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(1)=0, Find(5)=0, Add (1,5)=28 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 1}, Find(3)=3, Find(5)=0, Add (3,5)=32 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=37 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=56 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=4, Add (2,4)=61 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=179\",\"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=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=90 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=179\",\"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=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,77],[0,2,5],[0,3,43],[0,4,92],[0,5,43],[0,7,88],[1,3,33],[1,4,69],[1,5,94],[1,7,84],[2,6,8],[2,7,70],[3,4,74],[4,5,28],[4,6,49],[4,7,23],[5,6,11],[5,7,33],[6,7,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,5],[0,3,43],[0,4,92],[0,5,43],[0,7,88],[1,3,33],[1,4,69],[1,5,94],[1,7,84],[2,6,8],[2,7,70],[3,4,74],[4,5,28],[4,6,49],[4,7,23],[5,6,11],[5,7,33],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,5],[0,3,43],[0,4,92],[0,5,43],[0,7,88],[1,3,33],[1,4,69],[1,5,94],[1,7,84],[2,6,8],[2,7,70],[3,4,74],[4,5,28],[4,6,49],[4,7,23],[5,6,11],[5,7,33],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,6)\",\"Add (6,7)\",\"Add (5,6)\",\"Add (4,7)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,5],[0,3,43],[0,4,92],[0,5,43],[0,7,88],[1,3,33],[1,4,69],[1,5,94],[1,7,84],[2,6,8],[2,7,70],[3,4,74],[4,5,28],[4,6,49],[4,7,23],[5,6,11],[5,7,33],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (2,6)=8, w=13\",\"Add (6,7)=9, w=22\",\"Add (5,6)=11, w=33\",\"Add (4,7)=23, w=56\",\"Add (1,3)=33, w=89\",\"Add (0,3)=43, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,5],[0,3,43],[0,4,92],[0,5,43],[0,7,88],[1,3,33],[1,4,69],[1,5,94],[1,7,84],[2,6,8],[2,7,70],[3,4,74],[4,5,28],[4,6,49],[4,7,23],[5,6,11],[5,7,33],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (2,6)=8 Succeeded, w=13\",\"Add (6,7)=9 Succeeded, w=22\",\"Add (5,6)=11 Succeeded, w=33\",\"Add (4,7)=23 Succeeded, w=56\",\"Add (4,5)=28 Failed, w=56\",\"Add (1,3)=33 Succeeded, w=89\",\"Add (5,7)=33 Failed, w=89\",\"Add (0,3)=43 Succeeded, w=132\",\"Add (0,5)=43 Failed, w=132\",\"Add (4,6)=49 Failed, w=132\",\"Add (1,4)=69 Failed, w=132\",\"Add (2,7)=70 Failed, w=132\",\"Add (3,4)=74 Failed, w=132\",\"Add (0,1)=77 Failed, w=132\",\"Add (1,7)=84 Failed, w=132\",\"Add (0,7)=88 Failed, w=132\",\"Add (0,4)=92 Failed, w=132\",\"Add (1,5)=94 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,5],[0,3,43],[0,4,92],[0,5,43],[0,7,88],[1,3,33],[1,4,69],[1,5,94],[1,7,84],[2,6,8],[2,7,70],[3,4,74],[4,5,28],[4,6,49],[4,7,23],[5,6,11],[5,7,33],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(2,6)=8,(6,7)=9,(5,6)=11,(4,7)=23,(4,5)=28,(1,3)=33,(5,7)=33,(0,3)=43,(0,5)=43,(4,6)=49,(1,4)=69,(2,7)=70,(3,4)=74,(0,1)=77,(1,7)=84,(0,7)=88,(0,4)=92,(1,5)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(2)=0, Find(6)=6, Add (2,6)=8 Succeeded, w=13\",\"Find(6)=0, Find(7)=7, Add (6,7)=9 Succeeded, w=22\",\"Find(5)=5, Find(6)=0, Add (5,6)=11 Succeeded, w=33\",\"Find(4)=4, Find(7)=0, Add (4,7)=23 Succeeded, w=56\",\"Find(4)=0, Find(5)=0, Add (4,5)=28 Failed, w=56\",\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=89\",\"Find(5)=0, Find(7)=0, Add (5,7)=33 Failed, w=89\",\"Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=132\",\"Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=132\",\"Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=132\",\"Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=132\",\"Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=132\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=132\",\"Find(1)=0, Find(7)=0, Add (1,7)=84 Failed, w=132\",\"Find(0)=0, Find(7)=0, Add (0,7)=88 Failed, w=132\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=132\",\"Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,5],[0,3,43],[0,4,92],[0,5,43],[0,7,88],[1,3,33],[1,4,69],[1,5,94],[1,7,84],[2,6,8],[2,7,70],[3,4,74],[4,5,28],[4,6,49],[4,7,23],[5,6,11],[5,7,33],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(2,6)=8,(6,7)=9,(5,6)=11,(4,7)=23,(4,5)=28,(1,3)=33,(5,7)=33,(0,3)=43,(0,5)=43,(4,6)=49,(1,4)=69,(2,7)=70,(3,4)=74,(0,1)=77,(1,7)=84,(0,7)=88,(0,4)=92,(1,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(6)=6, Add (2,6)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=9 Succeeded, w=22\",\"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)=11 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=23 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=28 Failed, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=89\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=33 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=132\",\"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)=74 Failed, w=132\",\"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)=77 Failed, w=132\",\"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)=84 Failed, w=132\",\"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=132\",\"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)=92 Failed, w=132\",\"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)=94 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,97],[0,2,27],[0,3,11],[0,4,17],[1,2,42],[1,3,28],[1,4,20],[2,3,27],[3,4,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,27],[0,3,11],[0,4,17],[1,2,42],[1,3,28],[1,4,20],[2,3,27],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,27],[0,3,11],[0,4,17],[1,2,42],[1,3,28],[1,4,20],[2,3,27],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,27],[0,3,11],[0,4,17],[1,2,42],[1,3,28],[1,4,20],[2,3,27],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (0,4)=17, w=28\",\"Add (1,4)=20, w=48\",\"Add (0,2)=27, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,27],[0,3,11],[0,4,17],[1,2,42],[1,3,28],[1,4,20],[2,3,27],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (0,4)=17 Succeeded, w=28\",\"Add (1,4)=20 Succeeded, w=48\",\"Add (0,2)=27 Succeeded, w=75\",\"Add (2,3)=27 Failed, w=75\",\"Add (1,3)=28 Failed, w=75\",\"Add (1,2)=42 Failed, w=75\",\"Add (3,4)=70 Failed, w=75\",\"Add (0,1)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,27],[0,3,11],[0,4,17],[1,2,42],[1,3,28],[1,4,20],[2,3,27],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,4)=17,(1,4)=20,(0,2)=27,(2,3)=27,(1,3)=28,(1,2)=42,(3,4)=70,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=28\",\"Find(1)=1, Find(4)=0, Add (1,4)=20 Succeeded, w=48\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=75\",\"Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=75\",\"Find(1)=0, Find(3)=0, Add (1,3)=28 Failed, w=75\",\"Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=75\",\"Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=75\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,27],[0,3,11],[0,4,17],[1,2,42],[1,3,28],[1,4,20],[2,3,27],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,4)=17,(1,4)=20,(0,2)=27,(2,3)=27,(1,3)=28,(1,2)=42,(3,4)=70,(0,1)=97]\",\"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)=17 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=20 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=28 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,2,19],[0,4,54],[0,5,55],[0,7,7],[1,2,4],[1,4,97],[1,6,1],[2,3,39],[2,4,9],[2,6,42],[3,4,35],[3,5,19],[3,7,28],[4,5,35],[4,6,46],[4,7,47],[5,6,26],[5,7,70],[6,7,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,19],[0,4,54],[0,5,55],[0,7,7],[1,2,4],[1,4,97],[1,6,1],[2,3,39],[2,4,9],[2,6,42],[3,4,35],[3,5,19],[3,7,28],[4,5,35],[4,6,46],[4,7,47],[5,6,26],[5,7,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,19],[0,4,54],[0,5,55],[0,7,7],[1,2,4],[1,4,97],[1,6,1],[2,3,39],[2,4,9],[2,6,42],[3,4,35],[3,5,19],[3,7,28],[4,5,35],[4,6,46],[4,7,47],[5,6,26],[5,7,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,2)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (6,7)\",\"Add (3,5)\",\"Add (5,6)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,19],[0,4,54],[0,5,55],[0,7,7],[1,2,4],[1,4,97],[1,6,1],[2,3,39],[2,4,9],[2,6,42],[3,4,35],[3,5,19],[3,7,28],[4,5,35],[4,6,46],[4,7,47],[5,6,26],[5,7,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (1,2)=4, w=5\",\"Add (0,7)=7, w=12\",\"Add (2,4)=9, w=21\",\"Add (6,7)=9, w=30\",\"Add (3,5)=19, w=49\",\"Add (5,6)=26, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,19],[0,4,54],[0,5,55],[0,7,7],[1,2,4],[1,4,97],[1,6,1],[2,3,39],[2,4,9],[2,6,42],[3,4,35],[3,5,19],[3,7,28],[4,5,35],[4,6,46],[4,7,47],[5,6,26],[5,7,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (1,2)=4 Succeeded, w=5\",\"Add (0,7)=7 Succeeded, w=12\",\"Add (2,4)=9 Succeeded, w=21\",\"Add (6,7)=9 Succeeded, w=30\",\"Add (0,2)=19 Failed, w=30\",\"Add (3,5)=19 Succeeded, w=49\",\"Add (5,6)=26 Succeeded, w=75\",\"Add (3,7)=28 Failed, w=75\",\"Add (3,4)=35 Failed, w=75\",\"Add (4,5)=35 Failed, w=75\",\"Add (2,3)=39 Failed, w=75\",\"Add (2,6)=42 Failed, w=75\",\"Add (4,6)=46 Failed, w=75\",\"Add (4,7)=47 Failed, w=75\",\"Add (0,4)=54 Failed, w=75\",\"Add (0,5)=55 Failed, w=75\",\"Add (0,1)=58 Failed, w=75\",\"Add (5,7)=70 Failed, w=75\",\"Add (1,4)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,19],[0,4,54],[0,5,55],[0,7,7],[1,2,4],[1,4,97],[1,6,1],[2,3,39],[2,4,9],[2,6,42],[3,4,35],[3,5,19],[3,7,28],[4,5,35],[4,6,46],[4,7,47],[5,6,26],[5,7,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(1,2)=4,(0,7)=7,(2,4)=9,(6,7)=9,(0,2)=19,(3,5)=19,(5,6)=26,(3,7)=28,(3,4)=35,(4,5)=35,(2,3)=39,(2,6)=42,(4,6)=46,(4,7)=47,(0,4)=54,(0,5)=55,(0,1)=58,(5,7)=70,(1,4)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=5\",\"Find(0)=0, Find(7)=7, Add (0,7)=7 Succeeded, w=12\",\"Find(2)=1, Find(4)=4, Add (2,4)=9 Succeeded, w=21\",\"Find(6)=1, Find(7)=0, Add (6,7)=9 Succeeded, w=30\",\"Find(0)=1, Find(2)=1, Add (0,2)=19 Failed, w=30\",\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=49\",\"Find(5)=3, Find(6)=1, Add (5,6)=26 Succeeded, w=75\",\"Find(3)=1, Find(7)=1, Add (3,7)=28 Failed, w=75\",\"Find(3)=1, Find(4)=1, Add (3,4)=35 Failed, w=75\",\"Find(4)=1, Find(5)=1, Add (4,5)=35 Failed, w=75\",\"Find(2)=1, Find(3)=1, Add (2,3)=39 Failed, w=75\",\"Find(2)=1, Find(6)=1, Add (2,6)=42 Failed, w=75\",\"Find(4)=1, Find(6)=1, Add (4,6)=46 Failed, w=75\",\"Find(4)=1, Find(7)=1, Add (4,7)=47 Failed, w=75\",\"Find(0)=1, Find(4)=1, Add (0,4)=54 Failed, w=75\",\"Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=75\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=75\",\"Find(5)=1, Find(7)=1, Add (5,7)=70 Failed, w=75\",\"Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,19],[0,4,54],[0,5,55],[0,7,7],[1,2,4],[1,4,97],[1,6,1],[2,3,39],[2,4,9],[2,6,42],[3,4,35],[3,5,19],[3,7,28],[4,5,35],[4,6,46],[4,7,47],[5,6,26],[5,7,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(1,2)=4,(0,7)=7,(2,4)=9,(6,7)=9,(0,2)=19,(3,5)=19,(5,6)=26,(3,7)=28,(3,4)=35,(4,5)=35,(2,3)=39,(2,6)=42,(4,6)=46,(4,7)=47,(0,4)=54,(0,5)=55,(0,1)=58,(5,7)=70,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 0}, Find(2)=1, Find(4)=4, Add (2,4)=9 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 0}, Find(6)=1, Find(7)=0, Add (6,7)=9 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 0}, Find(0)=1, Find(2)=1, Add (0,2)=19 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 1, 7: 0}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 0}, Find(5)=3, Find(6)=1, Add (5,6)=26 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=28 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=35 Failed, w=75\",\"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)=35 Failed, w=75\",\"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)=39 Failed, w=75\",\"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)=42 Failed, w=75\",\"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)=46 Failed, w=75\",\"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)=47 Failed, w=75\",\"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)=54 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=75\",\"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)=58 Failed, w=75\",\"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)=70 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,3,47],[1,3,91],[2,3,16],[2,4,83],[3,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,3,91],[2,3,16],[2,4,83],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,3,91],[2,3,16],[2,4,83],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,3,91],[2,3,16],[2,4,83],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (2,3)=16, w=22\",\"Add (0,3)=47, w=69\",\"Add (0,1)=76, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,3,91],[2,3,16],[2,4,83],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (2,3)=16 Succeeded, w=22\",\"Add (0,3)=47 Succeeded, w=69\",\"Add (0,1)=76 Succeeded, w=145\",\"Add (2,4)=83 Failed, w=145\",\"Add (1,3)=91 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,3,91],[2,3,16],[2,4,83],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(2,3)=16,(0,3)=47,(0,1)=76,(2,4)=83,(1,3)=91]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=69\",\"Find(0)=3, Find(1)=1, Add (0,1)=76 Succeeded, w=145\",\"Find(2)=3, Find(4)=3, Add (2,4)=83 Failed, w=145\",\"Find(1)=3, Find(3)=3, Add (1,3)=91 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,3,91],[2,3,16],[2,4,83],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(2,3)=16,(0,3)=47,(0,1)=76,(2,4)=83,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=22\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=69\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=76 Succeeded, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=83 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=91 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,52],[0,3,77],[0,4,98],[0,5,63],[1,2,90],[1,3,4],[1,5,72],[2,3,67],[2,4,98],[2,5,30],[3,4,37],[3,5,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,3,77],[0,4,98],[0,5,63],[1,2,90],[1,3,4],[1,5,72],[2,3,67],[2,4,98],[2,5,30],[3,4,37],[3,5,35]]}",
"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\":[[0,1,52],[0,3,77],[0,4,98],[0,5,63],[1,2,90],[1,3,4],[1,5,72],[2,3,67],[2,4,98],[2,5,30],[3,4,37],[3,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,3,77],[0,4,98],[0,5,63],[1,2,90],[1,3,4],[1,5,72],[2,3,67],[2,4,98],[2,5,30],[3,4,37],[3,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (2,5)=30, w=34\",\"Add (3,5)=35, w=69\",\"Add (3,4)=37, w=106\",\"Add (0,1)=52, 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\":[[0,1,52],[0,3,77],[0,4,98],[0,5,63],[1,2,90],[1,3,4],[1,5,72],[2,3,67],[2,4,98],[2,5,30],[3,4,37],[3,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (2,5)=30 Succeeded, w=34\",\"Add (3,5)=35 Succeeded, w=69\",\"Add (3,4)=37 Succeeded, w=106\",\"Add (0,1)=52 Succeeded, w=158\",\"Add (0,5)=63 Failed, w=158\",\"Add (2,3)=67 Failed, w=158\",\"Add (1,5)=72 Failed, w=158\",\"Add (0,3)=77 Failed, w=158\",\"Add (1,2)=90 Failed, w=158\",\"Add (0,4)=98 Failed, w=158\",\"Add (2,4)=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],\"edges\":[[0,1,52],[0,3,77],[0,4,98],[0,5,63],[1,2,90],[1,3,4],[1,5,72],[2,3,67],[2,4,98],[2,5,30],[3,4,37],[3,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,5)=30,(3,5)=35,(3,4)=37,(0,1)=52,(0,5)=63,(2,3)=67,(1,5)=72,(0,3)=77,(1,2)=90,(0,4)=98,(2,4)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=34\",\"Find(3)=1, Find(5)=2, Add (3,5)=35 Succeeded, w=69\",\"Find(3)=1, Find(4)=4, Add (3,4)=37 Succeeded, w=106\",\"Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=158\",\"Find(0)=1, Find(5)=1, Add (0,5)=63 Failed, w=158\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=158\",\"Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=158\",\"Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=158\",\"Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=158\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=158\",\"Find(2)=1, Find(4)=1, Add (2,4)=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],\"edges\":[[0,1,52],[0,3,77],[0,4,98],[0,5,63],[1,2,90],[1,3,4],[1,5,72],[2,3,67],[2,4,98],[2,5,30],[3,4,37],[3,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,5)=30,(3,5)=35,(3,4)=37,(0,1)=52,(0,5)=63,(2,3)=67,(1,5)=72,(0,3)=77,(1,2)=90,(0,4)=98,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2}, Find(3)=1, Find(5)=2, Add (3,5)=35 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(3)=1, Find(4)=4, Add (3,4)=37 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=63 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=67 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)=72 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
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