graph
stringlengths 50
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listlengths 2
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| messages_l1
listlengths 2
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| messages_l2
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listlengths 2
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| messages_l4
listlengths 2
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| messages_l5
listlengths 2
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{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,44],[0,2,64],[0,3,91],[0,4,79],[0,5,83],[0,7,4],[1,2,54],[1,3,16],[1,4,20],[1,5,2],[1,6,75],[1,7,76],[2,3,81],[2,4,14],[2,5,74],[2,7,11],[3,4,19],[3,5,12],[3,6,33],[3,7,13],[4,5,6],[4,6,99],[4,7,40],[5,6,65],[5,7,25],[6,7,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,64],[0,3,91],[0,4,79],[0,5,83],[0,7,4],[1,2,54],[1,3,16],[1,4,20],[1,5,2],[1,6,75],[1,7,76],[2,3,81],[2,4,14],[2,5,74],[2,7,11],[3,4,19],[3,5,12],[3,6,33],[3,7,13],[4,5,6],[4,6,99],[4,7,40],[5,6,65],[5,7,25],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,64],[0,3,91],[0,4,79],[0,5,83],[0,7,4],[1,2,54],[1,3,16],[1,4,20],[1,5,2],[1,6,75],[1,7,76],[2,3,81],[2,4,14],[2,5,74],[2,7,11],[3,4,19],[3,5,12],[3,6,33],[3,7,13],[4,5,6],[4,6,99],[4,7,40],[5,6,65],[5,7,25],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (2,7)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (3,6)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,64],[0,3,91],[0,4,79],[0,5,83],[0,7,4],[1,2,54],[1,3,16],[1,4,20],[1,5,2],[1,6,75],[1,7,76],[2,3,81],[2,4,14],[2,5,74],[2,7,11],[3,4,19],[3,5,12],[3,6,33],[3,7,13],[4,5,6],[4,6,99],[4,7,40],[5,6,65],[5,7,25],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2, w=2\",\"Add (0,7)=4, w=6\",\"Add (4,5)=6, w=12\",\"Add (2,7)=11, w=23\",\"Add (3,5)=12, w=35\",\"Add (3,7)=13, w=48\",\"Add (3,6)=33, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,64],[0,3,91],[0,4,79],[0,5,83],[0,7,4],[1,2,54],[1,3,16],[1,4,20],[1,5,2],[1,6,75],[1,7,76],[2,3,81],[2,4,14],[2,5,74],[2,7,11],[3,4,19],[3,5,12],[3,6,33],[3,7,13],[4,5,6],[4,6,99],[4,7,40],[5,6,65],[5,7,25],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2 Succeeded, w=2\",\"Add (0,7)=4 Succeeded, w=6\",\"Add (4,5)=6 Succeeded, w=12\",\"Add (2,7)=11 Succeeded, w=23\",\"Add (3,5)=12 Succeeded, w=35\",\"Add (3,7)=13 Succeeded, w=48\",\"Add (2,4)=14 Failed, w=48\",\"Add (1,3)=16 Failed, w=48\",\"Add (3,4)=19 Failed, w=48\",\"Add (1,4)=20 Failed, w=48\",\"Add (5,7)=25 Failed, w=48\",\"Add (3,6)=33 Succeeded, w=81\",\"Add (4,7)=40 Failed, w=81\",\"Add (0,1)=44 Failed, w=81\",\"Add (1,2)=54 Failed, w=81\",\"Add (0,2)=64 Failed, w=81\",\"Add (5,6)=65 Failed, w=81\",\"Add (2,5)=74 Failed, w=81\",\"Add (1,6)=75 Failed, w=81\",\"Add (1,7)=76 Failed, w=81\",\"Add (0,4)=79 Failed, w=81\",\"Add (2,3)=81 Failed, w=81\",\"Add (0,5)=83 Failed, w=81\",\"Add (0,3)=91 Failed, w=81\",\"Add (6,7)=96 Failed, w=81\",\"Add (4,6)=99 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,64],[0,3,91],[0,4,79],[0,5,83],[0,7,4],[1,2,54],[1,3,16],[1,4,20],[1,5,2],[1,6,75],[1,7,76],[2,3,81],[2,4,14],[2,5,74],[2,7,11],[3,4,19],[3,5,12],[3,6,33],[3,7,13],[4,5,6],[4,6,99],[4,7,40],[5,6,65],[5,7,25],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(0,7)=4,(4,5)=6,(2,7)=11,(3,5)=12,(3,7)=13,(2,4)=14,(1,3)=16,(3,4)=19,(1,4)=20,(5,7)=25,(3,6)=33,(4,7)=40,(0,1)=44,(1,2)=54,(0,2)=64,(5,6)=65,(2,5)=74,(1,6)=75,(1,7)=76,(0,4)=79,(2,3)=81,(0,5)=83,(0,3)=91,(6,7)=96,(4,6)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=6\",\"Find(4)=4, Find(5)=1, Add (4,5)=6 Succeeded, w=12\",\"Find(2)=2, Find(7)=0, Add (2,7)=11 Succeeded, w=23\",\"Find(3)=3, Find(5)=1, Add (3,5)=12 Succeeded, w=35\",\"Find(3)=1, Find(7)=0, Add (3,7)=13 Succeeded, w=48\",\"Find(2)=1, Find(4)=1, Add (2,4)=14 Failed, w=48\",\"Find(1)=1, Find(3)=1, Add (1,3)=16 Failed, w=48\",\"Find(3)=1, Find(4)=1, Add (3,4)=19 Failed, w=48\",\"Find(1)=1, Find(4)=1, Add (1,4)=20 Failed, w=48\",\"Find(5)=1, Find(7)=1, Add (5,7)=25 Failed, w=48\",\"Find(3)=1, Find(6)=6, Add (3,6)=33 Succeeded, w=81\",\"Find(4)=1, Find(7)=1, Add (4,7)=40 Failed, w=81\",\"Find(0)=1, Find(1)=1, Add (0,1)=44 Failed, w=81\",\"Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=81\",\"Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=81\",\"Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=81\",\"Find(2)=1, Find(5)=1, Add (2,5)=74 Failed, w=81\",\"Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=81\",\"Find(1)=1, Find(7)=1, Add (1,7)=76 Failed, w=81\",\"Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=81\",\"Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=81\",\"Find(0)=1, Find(5)=1, Add (0,5)=83 Failed, w=81\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=81\",\"Find(6)=1, Find(7)=1, Add (6,7)=96 Failed, w=81\",\"Find(4)=1, Find(6)=1, Add (4,6)=99 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,64],[0,3,91],[0,4,79],[0,5,83],[0,7,4],[1,2,54],[1,3,16],[1,4,20],[1,5,2],[1,6,75],[1,7,76],[2,3,81],[2,4,14],[2,5,74],[2,7,11],[3,4,19],[3,5,12],[3,6,33],[3,7,13],[4,5,6],[4,6,99],[4,7,40],[5,6,65],[5,7,25],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(0,7)=4,(4,5)=6,(2,7)=11,(3,5)=12,(3,7)=13,(2,4)=14,(1,3)=16,(3,4)=19,(1,4)=20,(5,7)=25,(3,6)=33,(4,7)=40,(0,1)=44,(1,2)=54,(0,2)=64,(5,6)=65,(2,5)=74,(1,6)=75,(1,7)=76,(0,4)=79,(2,3)=81,(0,5)=83,(0,3)=91,(6,7)=96,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 0}, Find(4)=4, Find(5)=1, Add (4,5)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 6, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 6, 7: 0}, Find(3)=3, Find(5)=1, Add (3,5)=12 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 6, 7: 0}, Find(3)=1, Find(7)=0, Add (3,7)=13 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 0}, Find(2)=1, Find(4)=1, Add (2,4)=14 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(3)=1, Add (1,3)=16 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 0}, Find(3)=1, Find(4)=1, Add (3,4)=19 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(4)=1, Add (1,4)=20 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=25 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=33 Succeeded, w=81\",\"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)=40 Failed, w=81\",\"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)=44 Failed, w=81\",\"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)=54 Failed, w=81\",\"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)=64 Failed, w=81\",\"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)=65 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=74 Failed, w=81\",\"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)=75 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=76 Failed, w=81\",\"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)=79 Failed, w=81\",\"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)=81 Failed, w=81\",\"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)=83 Failed, w=81\",\"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)=91 Failed, w=81\",\"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)=96 Failed, w=81\",\"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)=99 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,1],[0,2,6],[0,3,66],[0,5,43],[0,6,3],[1,2,16],[1,5,91],[1,6,71],[1,7,63],[2,3,39],[2,4,19],[2,5,23],[2,7,85],[3,4,52],[3,5,45],[3,6,42],[3,7,12],[4,5,91],[4,6,85],[4,7,65],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,6],[0,3,66],[0,5,43],[0,6,3],[1,2,16],[1,5,91],[1,6,71],[1,7,63],[2,3,39],[2,4,19],[2,5,23],[2,7,85],[3,4,52],[3,5,45],[3,6,42],[3,7,12],[4,5,91],[4,6,85],[4,7,65],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,6],[0,3,66],[0,5,43],[0,6,3],[1,2,16],[1,5,91],[1,6,71],[1,7,63],[2,3,39],[2,4,19],[2,5,23],[2,7,85],[3,4,52],[3,5,45],[3,6,42],[3,7,12],[4,5,91],[4,6,85],[4,7,65],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (6,7)\",\"Add (3,7)\",\"Add (2,4)\",\"Add (2,5)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,6],[0,3,66],[0,5,43],[0,6,3],[1,2,16],[1,5,91],[1,6,71],[1,7,63],[2,3,39],[2,4,19],[2,5,23],[2,7,85],[3,4,52],[3,5,45],[3,6,42],[3,7,12],[4,5,91],[4,6,85],[4,7,65],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (0,6)=3, w=4\",\"Add (0,2)=6, w=10\",\"Add (6,7)=8, w=18\",\"Add (3,7)=12, w=30\",\"Add (2,4)=19, w=49\",\"Add (2,5)=23, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,6],[0,3,66],[0,5,43],[0,6,3],[1,2,16],[1,5,91],[1,6,71],[1,7,63],[2,3,39],[2,4,19],[2,5,23],[2,7,85],[3,4,52],[3,5,45],[3,6,42],[3,7,12],[4,5,91],[4,6,85],[4,7,65],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,6)=3 Succeeded, w=4\",\"Add (0,2)=6 Succeeded, w=10\",\"Add (6,7)=8 Succeeded, w=18\",\"Add (3,7)=12 Succeeded, w=30\",\"Add (1,2)=16 Failed, w=30\",\"Add (2,4)=19 Succeeded, w=49\",\"Add (2,5)=23 Succeeded, w=72\",\"Add (2,3)=39 Failed, w=72\",\"Add (3,6)=42 Failed, w=72\",\"Add (0,5)=43 Failed, w=72\",\"Add (3,5)=45 Failed, w=72\",\"Add (3,4)=52 Failed, w=72\",\"Add (1,7)=63 Failed, w=72\",\"Add (4,7)=65 Failed, w=72\",\"Add (0,3)=66 Failed, w=72\",\"Add (1,6)=71 Failed, w=72\",\"Add (2,7)=85 Failed, w=72\",\"Add (4,6)=85 Failed, w=72\",\"Add (1,5)=91 Failed, w=72\",\"Add (4,5)=91 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,6],[0,3,66],[0,5,43],[0,6,3],[1,2,16],[1,5,91],[1,6,71],[1,7,63],[2,3,39],[2,4,19],[2,5,23],[2,7,85],[3,4,52],[3,5,45],[3,6,42],[3,7,12],[4,5,91],[4,6,85],[4,7,65],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,6)=3,(0,2)=6,(6,7)=8,(3,7)=12,(1,2)=16,(2,4)=19,(2,5)=23,(2,3)=39,(3,6)=42,(0,5)=43,(3,5)=45,(3,4)=52,(1,7)=63,(4,7)=65,(0,3)=66,(1,6)=71,(2,7)=85,(4,6)=85,(1,5)=91,(4,5)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=10\",\"Find(6)=0, Find(7)=7, Add (6,7)=8 Succeeded, w=18\",\"Find(3)=3, Find(7)=0, Add (3,7)=12 Succeeded, w=30\",\"Find(1)=0, Find(2)=0, Add (1,2)=16 Failed, w=30\",\"Find(2)=0, Find(4)=4, Add (2,4)=19 Succeeded, w=49\",\"Find(2)=0, Find(5)=5, Add (2,5)=23 Succeeded, w=72\",\"Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=72\",\"Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=72\",\"Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=72\",\"Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=72\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=72\",\"Find(1)=0, Find(7)=0, Add (1,7)=63 Failed, w=72\",\"Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=72\",\"Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=72\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=72\",\"Find(2)=0, Find(7)=0, Add (2,7)=85 Failed, w=72\",\"Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=72\",\"Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=72\",\"Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,6],[0,3,66],[0,5,43],[0,6,3],[1,2,16],[1,5,91],[1,6,71],[1,7,63],[2,3,39],[2,4,19],[2,5,23],[2,7,85],[3,4,52],[3,5,45],[3,6,42],[3,7,12],[4,5,91],[4,6,85],[4,7,65],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,6)=3,(0,2)=6,(6,7)=8,(3,7)=12,(1,2)=16,(2,4)=19,(2,5)=23,(2,3)=39,(3,6)=42,(0,5)=43,(3,5)=45,(3,4)=52,(1,7)=63,(4,7)=65,(0,3)=66,(1,6)=71,(2,7)=85,(4,6)=85,(1,5)=91,(4,5)=91]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=12 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=16 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=19 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=23 Succeeded, w=72\",\"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)=39 Failed, w=72\",\"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)=42 Failed, w=72\",\"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)=43 Failed, w=72\",\"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)=45 Failed, w=72\",\"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)=52 Failed, w=72\",\"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=72\",\"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)=65 Failed, w=72\",\"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)=66 Failed, w=72\",\"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)=71 Failed, w=72\",\"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)=85 Failed, w=72\",\"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)=85 Failed, w=72\",\"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)=91 Failed, w=72\",\"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)=91 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,46],[0,2,85],[0,4,96],[0,5,17],[0,6,93],[0,7,33],[1,2,8],[1,3,45],[1,4,30],[1,6,6],[1,7,73],[2,6,55],[2,7,55],[3,4,89],[3,7,81],[4,5,87],[4,6,38],[4,7,83],[5,6,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,85],[0,4,96],[0,5,17],[0,6,93],[0,7,33],[1,2,8],[1,3,45],[1,4,30],[1,6,6],[1,7,73],[2,6,55],[2,7,55],[3,4,89],[3,7,81],[4,5,87],[4,6,38],[4,7,83],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,85],[0,4,96],[0,5,17],[0,6,93],[0,7,33],[1,2,8],[1,3,45],[1,4,30],[1,6,6],[1,7,73],[2,6,55],[2,7,55],[3,4,89],[3,7,81],[4,5,87],[4,6,38],[4,7,83],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (0,7)\",\"Add (5,6)\",\"Add (1,3)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,85],[0,4,96],[0,5,17],[0,6,93],[0,7,33],[1,2,8],[1,3,45],[1,4,30],[1,6,6],[1,7,73],[2,6,55],[2,7,55],[3,4,89],[3,7,81],[4,5,87],[4,6,38],[4,7,83],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=6, w=6\",\"Add (1,2)=8, w=14\",\"Add (0,5)=17, w=31\",\"Add (1,4)=30, w=61\",\"Add (0,7)=33, w=94\",\"Add (5,6)=33, w=127\",\"Add (1,3)=45, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,85],[0,4,96],[0,5,17],[0,6,93],[0,7,33],[1,2,8],[1,3,45],[1,4,30],[1,6,6],[1,7,73],[2,6,55],[2,7,55],[3,4,89],[3,7,81],[4,5,87],[4,6,38],[4,7,83],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=6 Succeeded, w=6\",\"Add (1,2)=8 Succeeded, w=14\",\"Add (0,5)=17 Succeeded, w=31\",\"Add (1,4)=30 Succeeded, w=61\",\"Add (0,7)=33 Succeeded, w=94\",\"Add (5,6)=33 Succeeded, w=127\",\"Add (4,6)=38 Failed, w=127\",\"Add (1,3)=45 Succeeded, w=172\",\"Add (0,1)=46 Failed, w=172\",\"Add (2,6)=55 Failed, w=172\",\"Add (2,7)=55 Failed, w=172\",\"Add (1,7)=73 Failed, w=172\",\"Add (3,7)=81 Failed, w=172\",\"Add (4,7)=83 Failed, w=172\",\"Add (0,2)=85 Failed, w=172\",\"Add (4,5)=87 Failed, w=172\",\"Add (3,4)=89 Failed, w=172\",\"Add (0,6)=93 Failed, w=172\",\"Add (0,4)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,85],[0,4,96],[0,5,17],[0,6,93],[0,7,33],[1,2,8],[1,3,45],[1,4,30],[1,6,6],[1,7,73],[2,6,55],[2,7,55],[3,4,89],[3,7,81],[4,5,87],[4,6,38],[4,7,83],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=6,(1,2)=8,(0,5)=17,(1,4)=30,(0,7)=33,(5,6)=33,(4,6)=38,(1,3)=45,(0,1)=46,(2,6)=55,(2,7)=55,(1,7)=73,(3,7)=81,(4,7)=83,(0,2)=85,(4,5)=87,(3,4)=89,(0,6)=93,(0,4)=96]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=14\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=31\",\"Find(1)=1, Find(4)=4, Add (1,4)=30 Succeeded, w=61\",\"Find(0)=0, Find(7)=7, Add (0,7)=33 Succeeded, w=94\",\"Find(5)=0, Find(6)=1, Add (5,6)=33 Succeeded, w=127\",\"Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=127\",\"Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=172\",\"Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=172\",\"Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=172\",\"Find(2)=0, Find(7)=0, Add (2,7)=55 Failed, w=172\",\"Find(1)=0, Find(7)=0, Add (1,7)=73 Failed, w=172\",\"Find(3)=0, Find(7)=0, Add (3,7)=81 Failed, w=172\",\"Find(4)=0, Find(7)=0, Add (4,7)=83 Failed, w=172\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=172\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=172\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=172\",\"Find(0)=0, Find(6)=0, Add (0,6)=93 Failed, w=172\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,85],[0,4,96],[0,5,17],[0,6,93],[0,7,33],[1,2,8],[1,3,45],[1,4,30],[1,6,6],[1,7,73],[2,6,55],[2,7,55],[3,4,89],[3,7,81],[4,5,87],[4,6,38],[4,7,83],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=6,(1,2)=8,(0,5)=17,(1,4)=30,(0,7)=33,(5,6)=33,(4,6)=38,(1,3)=45,(0,1)=46,(2,6)=55,(2,7)=55,(1,7)=73,(3,7)=81,(4,7)=83,(0,2)=85,(4,5)=87,(3,4)=89,(0,6)=93,(0,4)=96]\",\"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)=6 Succeeded, w=6\",\"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)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=30 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=33 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1, 7: 0}, Find(5)=0, Find(6)=1, Add (5,6)=33 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=172\",\"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=172\",\"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)=55 Failed, w=172\",\"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=172\",\"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)=81 Failed, w=172\",\"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)=83 Failed, w=172\",\"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)=85 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=172\",\"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)=89 Failed, w=172\",\"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)=93 Failed, w=172\",\"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)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,3],[0,2,57],[0,3,87],[0,4,50],[0,5,19],[0,6,46],[0,7,47],[1,2,58],[1,3,69],[1,5,86],[1,6,92],[1,7,47],[2,4,38],[2,5,51],[2,6,75],[2,7,17],[3,4,19],[3,5,76],[3,6,48],[3,7,64],[4,5,86],[4,6,31],[4,7,68],[5,6,35],[5,7,45],[6,7,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,57],[0,3,87],[0,4,50],[0,5,19],[0,6,46],[0,7,47],[1,2,58],[1,3,69],[1,5,86],[1,6,92],[1,7,47],[2,4,38],[2,5,51],[2,6,75],[2,7,17],[3,4,19],[3,5,76],[3,6,48],[3,7,64],[4,5,86],[4,6,31],[4,7,68],[5,6,35],[5,7,45],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,57],[0,3,87],[0,4,50],[0,5,19],[0,6,46],[0,7,47],[1,2,58],[1,3,69],[1,5,86],[1,6,92],[1,7,47],[2,4,38],[2,5,51],[2,6,75],[2,7,17],[3,4,19],[3,5,76],[3,6,48],[3,7,64],[4,5,86],[4,6,31],[4,7,68],[5,6,35],[5,7,45],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,7)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (6,7)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,57],[0,3,87],[0,4,50],[0,5,19],[0,6,46],[0,7,47],[1,2,58],[1,3,69],[1,5,86],[1,6,92],[1,7,47],[2,4,38],[2,5,51],[2,6,75],[2,7,17],[3,4,19],[3,5,76],[3,6,48],[3,7,64],[4,5,86],[4,6,31],[4,7,68],[5,6,35],[5,7,45],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (2,7)=17, w=20\",\"Add (0,5)=19, w=39\",\"Add (3,4)=19, w=58\",\"Add (4,6)=31, w=89\",\"Add (5,6)=35, w=124\",\"Add (6,7)=35, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,57],[0,3,87],[0,4,50],[0,5,19],[0,6,46],[0,7,47],[1,2,58],[1,3,69],[1,5,86],[1,6,92],[1,7,47],[2,4,38],[2,5,51],[2,6,75],[2,7,17],[3,4,19],[3,5,76],[3,6,48],[3,7,64],[4,5,86],[4,6,31],[4,7,68],[5,6,35],[5,7,45],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (2,7)=17 Succeeded, w=20\",\"Add (0,5)=19 Succeeded, w=39\",\"Add (3,4)=19 Succeeded, w=58\",\"Add (4,6)=31 Succeeded, w=89\",\"Add (5,6)=35 Succeeded, w=124\",\"Add (6,7)=35 Succeeded, w=159\",\"Add (2,4)=38 Failed, w=159\",\"Add (5,7)=45 Failed, w=159\",\"Add (0,6)=46 Failed, w=159\",\"Add (0,7)=47 Failed, w=159\",\"Add (1,7)=47 Failed, w=159\",\"Add (3,6)=48 Failed, w=159\",\"Add (0,4)=50 Failed, w=159\",\"Add (2,5)=51 Failed, w=159\",\"Add (0,2)=57 Failed, w=159\",\"Add (1,2)=58 Failed, w=159\",\"Add (3,7)=64 Failed, w=159\",\"Add (4,7)=68 Failed, w=159\",\"Add (1,3)=69 Failed, w=159\",\"Add (2,6)=75 Failed, w=159\",\"Add (3,5)=76 Failed, w=159\",\"Add (1,5)=86 Failed, w=159\",\"Add (4,5)=86 Failed, w=159\",\"Add (0,3)=87 Failed, w=159\",\"Add (1,6)=92 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,57],[0,3,87],[0,4,50],[0,5,19],[0,6,46],[0,7,47],[1,2,58],[1,3,69],[1,5,86],[1,6,92],[1,7,47],[2,4,38],[2,5,51],[2,6,75],[2,7,17],[3,4,19],[3,5,76],[3,6,48],[3,7,64],[4,5,86],[4,6,31],[4,7,68],[5,6,35],[5,7,45],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,7)=17,(0,5)=19,(3,4)=19,(4,6)=31,(5,6)=35,(6,7)=35,(2,4)=38,(5,7)=45,(0,6)=46,(0,7)=47,(1,7)=47,(3,6)=48,(0,4)=50,(2,5)=51,(0,2)=57,(1,2)=58,(3,7)=64,(4,7)=68,(1,3)=69,(2,6)=75,(3,5)=76,(1,5)=86,(4,5)=86,(0,3)=87,(1,6)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(2)=2, Find(7)=7, Add (2,7)=17 Succeeded, w=20\",\"Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=39\",\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=58\",\"Find(4)=3, Find(6)=6, Add (4,6)=31 Succeeded, w=89\",\"Find(5)=0, Find(6)=3, Add (5,6)=35 Succeeded, w=124\",\"Find(6)=0, Find(7)=2, Add (6,7)=35 Succeeded, w=159\",\"Find(2)=0, Find(4)=0, Add (2,4)=38 Failed, w=159\",\"Find(5)=0, Find(7)=0, Add (5,7)=45 Failed, w=159\",\"Find(0)=0, Find(6)=0, Add (0,6)=46 Failed, w=159\",\"Find(0)=0, Find(7)=0, Add (0,7)=47 Failed, w=159\",\"Find(1)=0, Find(7)=0, Add (1,7)=47 Failed, w=159\",\"Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=159\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=159\",\"Find(2)=0, Find(5)=0, Add (2,5)=51 Failed, w=159\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=159\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=159\",\"Find(3)=0, Find(7)=0, Add (3,7)=64 Failed, w=159\",\"Find(4)=0, Find(7)=0, Add (4,7)=68 Failed, w=159\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=159\",\"Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=159\",\"Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=159\",\"Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=159\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=159\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=159\",\"Find(1)=0, Find(6)=0, Add (1,6)=92 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,57],[0,3,87],[0,4,50],[0,5,19],[0,6,46],[0,7,47],[1,2,58],[1,3,69],[1,5,86],[1,6,92],[1,7,47],[2,4,38],[2,5,51],[2,6,75],[2,7,17],[3,4,19],[3,5,76],[3,6,48],[3,7,64],[4,5,86],[4,6,31],[4,7,68],[5,6,35],[5,7,45],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,7)=17,(0,5)=19,(3,4)=19,(4,6)=31,(5,6)=35,(6,7)=35,(2,4)=38,(5,7)=45,(0,6)=46,(0,7)=47,(1,7)=47,(3,6)=48,(0,4)=50,(2,5)=51,(0,2)=57,(1,2)=58,(3,7)=64,(4,7)=68,(1,3)=69,(2,6)=75,(3,5)=76,(1,5)=86,(4,5)=86,(0,3)=87,(1,6)=92]\",\"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)=3 Succeeded, w=3\",\"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)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 2}, Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6, 7: 2}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0, 6: 3, 7: 2}, Find(4)=3, Find(6)=6, Add (4,6)=31 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0, 6: 3, 7: 2}, Find(5)=0, Find(6)=3, Add (5,6)=35 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 2}, Find(6)=0, Find(7)=2, Add (6,7)=35 Succeeded, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(4)=0, Add (2,4)=38 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=45 Failed, w=159\",\"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)=46 Failed, w=159\",\"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)=47 Failed, w=159\",\"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)=47 Failed, w=159\",\"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)=48 Failed, w=159\",\"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)=50 Failed, w=159\",\"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)=51 Failed, w=159\",\"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=159\",\"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)=58 Failed, w=159\",\"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)=64 Failed, w=159\",\"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)=68 Failed, w=159\",\"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)=69 Failed, w=159\",\"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)=75 Failed, w=159\",\"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)=76 Failed, w=159\",\"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)=86 Failed, w=159\",\"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=159\",\"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)=87 Failed, w=159\",\"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)=92 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,58],[0,3,9],[1,2,18],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,58],[0,3,9],[1,2,18],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,58],[0,3,9],[1,2,18],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,58],[0,3,9],[1,2,18],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (2,3)=10, w=19\",\"Add (1,2)=18, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,58],[0,3,9],[1,2,18],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (2,3)=10 Succeeded, w=19\",\"Add (1,2)=18 Succeeded, w=37\",\"Add (0,2)=58 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,58],[0,3,9],[1,2,18],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(2,3)=10,(1,2)=18,(0,2)=58]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=0, Add (2,3)=10 Succeeded, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=37\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,58],[0,3,9],[1,2,18],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(2,3)=10,(1,2)=18,(0,2)=58]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,2,58],[0,3,70],[1,2,49],[1,3,86],[1,4,16],[2,3,25],[2,4,85],[3,4,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,58],[0,3,70],[1,2,49],[1,3,86],[1,4,16],[2,3,25],[2,4,85],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,58],[0,3,70],[1,2,49],[1,3,86],[1,4,16],[2,3,25],[2,4,85],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,58],[0,3,70],[1,2,49],[1,3,86],[1,4,16],[2,3,25],[2,4,85],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (1,4)=16, w=18\",\"Add (2,3)=25, w=43\",\"Add (1,2)=49, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,58],[0,3,70],[1,2,49],[1,3,86],[1,4,16],[2,3,25],[2,4,85],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (1,4)=16 Succeeded, w=18\",\"Add (2,3)=25 Succeeded, w=43\",\"Add (1,2)=49 Succeeded, w=92\",\"Add (0,2)=58 Failed, w=92\",\"Add (0,3)=70 Failed, w=92\",\"Add (3,4)=80 Failed, w=92\",\"Add (2,4)=85 Failed, w=92\",\"Add (1,3)=86 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,58],[0,3,70],[1,2,49],[1,3,86],[1,4,16],[2,3,25],[2,4,85],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,4)=16,(2,3)=25,(1,2)=49,(0,2)=58,(0,3)=70,(3,4)=80,(2,4)=85,(1,3)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(1)=0, Find(4)=4, Add (1,4)=16 Succeeded, w=18\",\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=43\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=92\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=92\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=92\",\"Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=92\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=92\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,58],[0,3,70],[1,2,49],[1,3,86],[1,4,16],[2,3,25],[2,4,85],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,4)=16,(2,3)=25,(1,2)=49,(0,2)=58,(0,3)=70,(3,4)=80,(2,4)=85,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=16 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,95],[0,2,25],[0,4,11],[0,5,21],[0,6,87],[0,7,4],[1,2,1],[1,3,45],[1,5,86],[1,7,61],[2,3,0],[2,5,29],[2,6,8],[3,4,90],[3,6,76],[3,7,69],[4,5,56],[4,6,98],[4,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,25],[0,4,11],[0,5,21],[0,6,87],[0,7,4],[1,2,1],[1,3,45],[1,5,86],[1,7,61],[2,3,0],[2,5,29],[2,6,8],[3,4,90],[3,6,76],[3,7,69],[4,5,56],[4,6,98],[4,7,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,25],[0,4,11],[0,5,21],[0,6,87],[0,7,4],[1,2,1],[1,3,45],[1,5,86],[1,7,61],[2,3,0],[2,5,29],[2,6,8],[3,4,90],[3,6,76],[3,7,69],[4,5,56],[4,6,98],[4,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,7)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,25],[0,4,11],[0,5,21],[0,6,87],[0,7,4],[1,2,1],[1,3,45],[1,5,86],[1,7,61],[2,3,0],[2,5,29],[2,6,8],[3,4,90],[3,6,76],[3,7,69],[4,5,56],[4,6,98],[4,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,2)=1, w=1\",\"Add (0,7)=4, w=5\",\"Add (2,6)=8, w=13\",\"Add (0,4)=11, w=24\",\"Add (0,5)=21, w=45\",\"Add (0,2)=25, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,25],[0,4,11],[0,5,21],[0,6,87],[0,7,4],[1,2,1],[1,3,45],[1,5,86],[1,7,61],[2,3,0],[2,5,29],[2,6,8],[3,4,90],[3,6,76],[3,7,69],[4,5,56],[4,6,98],[4,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,7)=4 Succeeded, w=5\",\"Add (2,6)=8 Succeeded, w=13\",\"Add (0,4)=11 Succeeded, w=24\",\"Add (0,5)=21 Succeeded, w=45\",\"Add (0,2)=25 Succeeded, w=70\",\"Add (2,5)=29 Failed, w=70\",\"Add (1,3)=45 Failed, w=70\",\"Add (4,5)=56 Failed, w=70\",\"Add (1,7)=61 Failed, w=70\",\"Add (3,7)=69 Failed, w=70\",\"Add (3,6)=76 Failed, w=70\",\"Add (1,5)=86 Failed, w=70\",\"Add (0,6)=87 Failed, w=70\",\"Add (3,4)=90 Failed, w=70\",\"Add (4,7)=92 Failed, w=70\",\"Add (0,1)=95 Failed, w=70\",\"Add (4,6)=98 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,25],[0,4,11],[0,5,21],[0,6,87],[0,7,4],[1,2,1],[1,3,45],[1,5,86],[1,7,61],[2,3,0],[2,5,29],[2,6,8],[3,4,90],[3,6,76],[3,7,69],[4,5,56],[4,6,98],[4,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=1,(0,7)=4,(2,6)=8,(0,4)=11,(0,5)=21,(0,2)=25,(2,5)=29,(1,3)=45,(4,5)=56,(1,7)=61,(3,7)=69,(3,6)=76,(1,5)=86,(0,6)=87,(3,4)=90,(4,7)=92,(0,1)=95,(4,6)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=24\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=45\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=70\",\"Find(2)=0, Find(5)=0, Add (2,5)=29 Failed, w=70\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=70\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=70\",\"Find(1)=0, Find(7)=0, Add (1,7)=61 Failed, w=70\",\"Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=70\",\"Find(3)=0, Find(6)=0, Add (3,6)=76 Failed, w=70\",\"Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=70\",\"Find(0)=0, Find(6)=0, Add (0,6)=87 Failed, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=70\",\"Find(4)=0, Find(7)=0, Add (4,7)=92 Failed, w=70\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=70\",\"Find(4)=0, Find(6)=0, Add (4,6)=98 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,25],[0,4,11],[0,5,21],[0,6,87],[0,7,4],[1,2,1],[1,3,45],[1,5,86],[1,7,61],[2,3,0],[2,5,29],[2,6,8],[3,4,90],[3,6,76],[3,7,69],[4,5,56],[4,6,98],[4,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=1,(0,7)=4,(2,6)=8,(0,4)=11,(0,5)=21,(0,2)=25,(2,5)=29,(1,3)=45,(4,5)=56,(1,7)=61,(3,7)=69,(3,6)=76,(1,5)=86,(0,6)=87,(3,4)=90,(4,7)=92,(0,1)=95,(4,6)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=45\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=70\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=29 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=61 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=70\",\"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)=76 Failed, w=70\",\"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)=86 Failed, w=70\",\"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)=87 Failed, w=70\",\"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)=90 Failed, w=70\",\"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=70\",\"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)=95 Failed, w=70\",\"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)=98 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,4,60],[1,3,74],[1,4,28],[1,5,9],[1,6,78],[1,7,25],[2,3,83],[2,7,2],[3,4,2],[4,6,44],[6,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,4,60],[1,3,74],[1,4,28],[1,5,9],[1,6,78],[1,7,25],[2,3,83],[2,7,2],[3,4,2],[4,6,44],[6,7,73]]}",
"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\":[[0,1,34],[0,4,60],[1,3,74],[1,4,28],[1,5,9],[1,6,78],[1,7,25],[2,3,83],[2,7,2],[3,4,2],[4,6,44],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (1,7)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (4,6)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,4,60],[1,3,74],[1,4,28],[1,5,9],[1,6,78],[1,7,25],[2,3,83],[2,7,2],[3,4,2],[4,6,44],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=2, w=2\",\"Add (3,4)=2, w=4\",\"Add (1,5)=9, w=13\",\"Add (1,7)=25, w=38\",\"Add (1,4)=28, w=66\",\"Add (0,1)=34, w=100\",\"Add (4,6)=44, 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\":[[0,1,34],[0,4,60],[1,3,74],[1,4,28],[1,5,9],[1,6,78],[1,7,25],[2,3,83],[2,7,2],[3,4,2],[4,6,44],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=2 Succeeded, w=2\",\"Add (3,4)=2 Succeeded, w=4\",\"Add (1,5)=9 Succeeded, w=13\",\"Add (1,7)=25 Succeeded, w=38\",\"Add (1,4)=28 Succeeded, w=66\",\"Add (0,1)=34 Succeeded, w=100\",\"Add (4,6)=44 Succeeded, w=144\",\"Add (0,4)=60 Failed, w=144\",\"Add (6,7)=73 Failed, w=144\",\"Add (1,3)=74 Failed, w=144\",\"Add (1,6)=78 Failed, w=144\",\"Add (2,3)=83 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\":[[0,1,34],[0,4,60],[1,3,74],[1,4,28],[1,5,9],[1,6,78],[1,7,25],[2,3,83],[2,7,2],[3,4,2],[4,6,44],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=2,(3,4)=2,(1,5)=9,(1,7)=25,(1,4)=28,(0,1)=34,(4,6)=44,(0,4)=60,(6,7)=73,(1,3)=74,(1,6)=78,(2,3)=83]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=13\",\"Find(1)=1, Find(7)=2, Add (1,7)=25 Succeeded, w=38\",\"Find(1)=1, Find(4)=3, Add (1,4)=28 Succeeded, w=66\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=100\",\"Find(4)=1, Find(6)=6, Add (4,6)=44 Succeeded, w=144\",\"Find(0)=1, Find(4)=1, Add (0,4)=60 Failed, w=144\",\"Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=144\",\"Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=144\",\"Find(1)=1, Find(6)=1, Add (1,6)=78 Failed, w=144\",\"Find(2)=1, Find(3)=1, Add (2,3)=83 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\":[[0,1,34],[0,4,60],[1,3,74],[1,4,28],[1,5,9],[1,6,78],[1,7,25],[2,3,83],[2,7,2],[3,4,2],[4,6,44],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=2,(3,4)=2,(1,5)=9,(1,7)=25,(1,4)=28,(0,1)=34,(4,6)=44,(0,4)=60,(6,7)=73,(1,3)=74,(1,6)=78,(2,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 6, 7: 2}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=25 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6, 7: 2}, Find(1)=1, Find(4)=3, Add (1,4)=28 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(4)=1, Find(6)=6, Add (4,6)=44 Succeeded, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(4)=1, Add (0,4)=60 Failed, w=144\",\"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)=73 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=144\",\"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)=78 Failed, w=144\",\"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)=83 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,66],[2,3,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,66],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,66],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,66],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=48, w=48\",\"Add (1,3)=66, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,66],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=48 Succeeded, w=48\",\"Add (1,3)=66 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,66],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=48,(1,3)=66]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=48\",\"Find(1)=1, Find(3)=2, Add (1,3)=66 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,66],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=48,(1,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=48\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=66 Succeeded, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,43],[0,3,80],[1,2,70],[1,3,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,80],[1,2,70],[1,3,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,80],[1,2,70],[1,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,80],[1,2,70],[1,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=43, w=43\",\"Add (1,2)=70, w=113\",\"Add (0,3)=80, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,80],[1,2,70],[1,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=43 Succeeded, w=43\",\"Add (1,2)=70 Succeeded, w=113\",\"Add (0,3)=80 Succeeded, w=193\",\"Add (1,3)=98 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,80],[1,2,70],[1,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=43,(1,2)=70,(0,3)=80,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=43\",\"Find(1)=0, Find(2)=2, Add (1,2)=70 Succeeded, w=113\",\"Find(0)=0, Find(3)=3, Add (0,3)=80 Succeeded, w=193\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,80],[1,2,70],[1,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=43,(1,2)=70,(0,3)=80,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=70 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=80 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,6],[0,4,5],[0,7,4],[1,2,89],[1,3,53],[1,4,39],[1,5,77],[1,6,28],[1,7,11],[2,3,1],[2,6,41],[3,4,99],[3,7,63],[4,7,10],[5,6,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,4,5],[0,7,4],[1,2,89],[1,3,53],[1,4,39],[1,5,77],[1,6,28],[1,7,11],[2,3,1],[2,6,41],[3,4,99],[3,7,63],[4,7,10],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,4,5],[0,7,4],[1,2,89],[1,3,53],[1,4,39],[1,5,77],[1,6,28],[1,7,11],[2,3,1],[2,6,41],[3,4,99],[3,7,63],[4,7,10],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,7)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,7)\",\"Add (5,6)\",\"Add (1,6)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,4,5],[0,7,4],[1,2,89],[1,3,53],[1,4,39],[1,5,77],[1,6,28],[1,7,11],[2,3,1],[2,6,41],[3,4,99],[3,7,63],[4,7,10],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,7)=4, w=5\",\"Add (0,4)=5, w=10\",\"Add (0,2)=6, w=16\",\"Add (1,7)=11, w=27\",\"Add (5,6)=24, w=51\",\"Add (1,6)=28, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,4,5],[0,7,4],[1,2,89],[1,3,53],[1,4,39],[1,5,77],[1,6,28],[1,7,11],[2,3,1],[2,6,41],[3,4,99],[3,7,63],[4,7,10],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,7)=4 Succeeded, w=5\",\"Add (0,4)=5 Succeeded, w=10\",\"Add (0,2)=6 Succeeded, w=16\",\"Add (4,7)=10 Failed, w=16\",\"Add (1,7)=11 Succeeded, w=27\",\"Add (5,6)=24 Succeeded, w=51\",\"Add (1,6)=28 Succeeded, w=79\",\"Add (1,4)=39 Failed, w=79\",\"Add (2,6)=41 Failed, w=79\",\"Add (1,3)=53 Failed, w=79\",\"Add (3,7)=63 Failed, w=79\",\"Add (1,5)=77 Failed, w=79\",\"Add (1,2)=89 Failed, w=79\",\"Add (3,4)=99 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,4,5],[0,7,4],[1,2,89],[1,3,53],[1,4,39],[1,5,77],[1,6,28],[1,7,11],[2,3,1],[2,6,41],[3,4,99],[3,7,63],[4,7,10],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,7)=4,(0,4)=5,(0,2)=6,(4,7)=10,(1,7)=11,(5,6)=24,(1,6)=28,(1,4)=39,(2,6)=41,(1,3)=53,(3,7)=63,(1,5)=77,(1,2)=89,(3,4)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=16\",\"Find(4)=0, Find(7)=0, Add (4,7)=10 Failed, w=16\",\"Find(1)=1, Find(7)=0, Add (1,7)=11 Succeeded, w=27\",\"Find(5)=5, Find(6)=6, Add (5,6)=24 Succeeded, w=51\",\"Find(1)=0, Find(6)=5, Add (1,6)=28 Succeeded, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=79\",\"Find(2)=0, Find(6)=0, Add (2,6)=41 Failed, w=79\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=79\",\"Find(3)=0, Find(7)=0, Add (3,7)=63 Failed, w=79\",\"Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,4,5],[0,7,4],[1,2,89],[1,3,53],[1,4,39],[1,5,77],[1,6,28],[1,7,11],[2,3,1],[2,6,41],[3,4,99],[3,7,63],[4,7,10],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,7)=4,(0,4)=5,(0,2)=6,(4,7)=10,(1,7)=11,(5,6)=24,(1,6)=28,(1,4)=39,(2,6)=41,(1,3)=53,(3,7)=63,(1,5)=77,(1,2)=89,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 5, 6: 6, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=10 Failed, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5, 6: 6, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=11 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5, 6: 5, 7: 0}, Find(5)=5, Find(6)=6, Add (5,6)=24 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(6)=5, Add (1,6)=28 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=41 Failed, w=79\",\"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)=53 Failed, w=79\",\"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)=63 Failed, w=79\",\"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)=77 Failed, w=79\",\"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)=89 Failed, w=79\",\"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)=99 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,2,86],[0,5,32],[1,2,14],[1,3,12],[1,4,16],[1,5,9],[2,3,65],[2,5,93],[3,4,86],[4,5,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,86],[0,5,32],[1,2,14],[1,3,12],[1,4,16],[1,5,9],[2,3,65],[2,5,93],[3,4,86],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,86],[0,5,32],[1,2,14],[1,3,12],[1,4,16],[1,5,9],[2,3,65],[2,5,93],[3,4,86],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,5)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,86],[0,5,32],[1,2,14],[1,3,12],[1,4,16],[1,5,9],[2,3,65],[2,5,93],[3,4,86],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9, w=9\",\"Add (1,3)=12, w=21\",\"Add (1,2)=14, w=35\",\"Add (1,4)=16, w=51\",\"Add (0,5)=32, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,86],[0,5,32],[1,2,14],[1,3,12],[1,4,16],[1,5,9],[2,3,65],[2,5,93],[3,4,86],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9 Succeeded, w=9\",\"Add (1,3)=12 Succeeded, w=21\",\"Add (1,2)=14 Succeeded, w=35\",\"Add (1,4)=16 Succeeded, w=51\",\"Add (0,5)=32 Succeeded, w=83\",\"Add (2,3)=65 Failed, w=83\",\"Add (0,1)=72 Failed, w=83\",\"Add (4,5)=84 Failed, w=83\",\"Add (0,2)=86 Failed, w=83\",\"Add (3,4)=86 Failed, w=83\",\"Add (2,5)=93 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,86],[0,5,32],[1,2,14],[1,3,12],[1,4,16],[1,5,9],[2,3,65],[2,5,93],[3,4,86],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(1,3)=12,(1,2)=14,(1,4)=16,(0,5)=32,(2,3)=65,(0,1)=72,(4,5)=84,(0,2)=86,(3,4)=86,(2,5)=93]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=51\",\"Find(0)=0, Find(5)=1, Add (0,5)=32 Succeeded, w=83\",\"Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=83\",\"Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=83\",\"Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=83\",\"Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=83\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=83\",\"Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,86],[0,5,32],[1,2,14],[1,3,12],[1,4,16],[1,5,9],[2,3,65],[2,5,93],[3,4,86],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(1,3)=12,(1,2)=14,(1,4)=16,(0,5)=32,(2,3)=65,(0,1)=72,(4,5)=84,(0,2)=86,(3,4)=86,(2,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=32 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,100],[0,4,47],[0,5,50],[0,6,5],[1,2,13],[1,3,93],[1,4,82],[1,5,33],[1,6,74],[2,4,15],[2,5,24],[2,6,97],[3,4,46],[3,6,6],[4,5,8],[4,6,19],[5,6,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,100],[0,4,47],[0,5,50],[0,6,5],[1,2,13],[1,3,93],[1,4,82],[1,5,33],[1,6,74],[2,4,15],[2,5,24],[2,6,97],[3,4,46],[3,6,6],[4,5,8],[4,6,19],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,100],[0,4,47],[0,5,50],[0,6,5],[1,2,13],[1,3,93],[1,4,82],[1,5,33],[1,6,74],[2,4,15],[2,5,24],[2,6,97],[3,4,46],[3,6,6],[4,5,8],[4,6,19],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (4,6)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,100],[0,4,47],[0,5,50],[0,6,5],[1,2,13],[1,3,93],[1,4,82],[1,5,33],[1,6,74],[2,4,15],[2,5,24],[2,6,97],[3,4,46],[3,6,6],[4,5,8],[4,6,19],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=5, w=5\",\"Add (3,6)=6, w=11\",\"Add (4,5)=8, w=19\",\"Add (1,2)=13, w=32\",\"Add (2,4)=15, w=47\",\"Add (4,6)=19, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,100],[0,4,47],[0,5,50],[0,6,5],[1,2,13],[1,3,93],[1,4,82],[1,5,33],[1,6,74],[2,4,15],[2,5,24],[2,6,97],[3,4,46],[3,6,6],[4,5,8],[4,6,19],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=5 Succeeded, w=5\",\"Add (3,6)=6 Succeeded, w=11\",\"Add (4,5)=8 Succeeded, w=19\",\"Add (1,2)=13 Succeeded, w=32\",\"Add (2,4)=15 Succeeded, w=47\",\"Add (4,6)=19 Succeeded, w=66\",\"Add (2,5)=24 Failed, w=66\",\"Add (1,5)=33 Failed, w=66\",\"Add (3,4)=46 Failed, w=66\",\"Add (0,4)=47 Failed, w=66\",\"Add (0,5)=50 Failed, w=66\",\"Add (0,1)=61 Failed, w=66\",\"Add (5,6)=73 Failed, w=66\",\"Add (1,6)=74 Failed, w=66\",\"Add (1,4)=82 Failed, w=66\",\"Add (1,3)=93 Failed, w=66\",\"Add (2,6)=97 Failed, w=66\",\"Add (0,2)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,100],[0,4,47],[0,5,50],[0,6,5],[1,2,13],[1,3,93],[1,4,82],[1,5,33],[1,6,74],[2,4,15],[2,5,24],[2,6,97],[3,4,46],[3,6,6],[4,5,8],[4,6,19],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=5,(3,6)=6,(4,5)=8,(1,2)=13,(2,4)=15,(4,6)=19,(2,5)=24,(1,5)=33,(3,4)=46,(0,4)=47,(0,5)=50,(0,1)=61,(5,6)=73,(1,6)=74,(1,4)=82,(1,3)=93,(2,6)=97,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=5\",\"Find(3)=3, Find(6)=0, Add (3,6)=6 Succeeded, w=11\",\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=19\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=32\",\"Find(2)=1, Find(4)=4, Add (2,4)=15 Succeeded, w=47\",\"Find(4)=1, Find(6)=0, Add (4,6)=19 Succeeded, w=66\",\"Find(2)=1, Find(5)=1, Add (2,5)=24 Failed, w=66\",\"Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=66\",\"Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=66\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=66\",\"Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=66\",\"Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=66\",\"Find(5)=1, Find(6)=1, Add (5,6)=73 Failed, w=66\",\"Find(1)=1, Find(6)=1, Add (1,6)=74 Failed, w=66\",\"Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=66\",\"Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=66\",\"Find(2)=1, Find(6)=1, Add (2,6)=97 Failed, w=66\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,100],[0,4,47],[0,5,50],[0,6,5],[1,2,13],[1,3,93],[1,4,82],[1,5,33],[1,6,74],[2,4,15],[2,5,24],[2,6,97],[3,4,46],[3,6,6],[4,5,8],[4,6,19],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=5,(3,6)=6,(4,5)=8,(1,2)=13,(2,4)=15,(4,6)=19,(2,5)=24,(1,5)=33,(3,4)=46,(0,4)=47,(0,5)=50,(0,1)=61,(5,6)=73,(1,6)=74,(1,4)=82,(1,3)=93,(2,6)=97,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 0}, Find(2)=1, Find(4)=4, Add (2,4)=15 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 0}, Find(4)=1, Find(6)=0, Add (4,6)=19 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0}, Find(2)=1, Find(5)=1, Add (2,5)=24 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0}, Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=73 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=74 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=97 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,12],[0,2,66],[0,3,91],[0,4,80],[0,5,60],[0,6,32],[1,2,11],[1,3,19],[1,4,39],[1,5,91],[1,6,26],[2,3,61],[2,4,30],[2,6,27],[3,4,87],[3,5,61],[3,6,87],[4,5,42],[4,6,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,66],[0,3,91],[0,4,80],[0,5,60],[0,6,32],[1,2,11],[1,3,19],[1,4,39],[1,5,91],[1,6,26],[2,3,61],[2,4,30],[2,6,27],[3,4,87],[3,5,61],[3,6,87],[4,5,42],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,66],[0,3,91],[0,4,80],[0,5,60],[0,6,32],[1,2,11],[1,3,19],[1,4,39],[1,5,91],[1,6,26],[2,3,61],[2,4,30],[2,6,27],[3,4,87],[3,5,61],[3,6,87],[4,5,42],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (4,5)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,66],[0,3,91],[0,4,80],[0,5,60],[0,6,32],[1,2,11],[1,3,19],[1,4,39],[1,5,91],[1,6,26],[2,3,61],[2,4,30],[2,6,27],[3,4,87],[3,5,61],[3,6,87],[4,5,42],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (0,1)=12, w=23\",\"Add (1,3)=19, w=42\",\"Add (1,6)=26, w=68\",\"Add (2,4)=30, w=98\",\"Add (4,5)=42, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,66],[0,3,91],[0,4,80],[0,5,60],[0,6,32],[1,2,11],[1,3,19],[1,4,39],[1,5,91],[1,6,26],[2,3,61],[2,4,30],[2,6,27],[3,4,87],[3,5,61],[3,6,87],[4,5,42],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (0,1)=12 Succeeded, w=23\",\"Add (1,3)=19 Succeeded, w=42\",\"Add (1,6)=26 Succeeded, w=68\",\"Add (2,6)=27 Failed, w=68\",\"Add (2,4)=30 Succeeded, w=98\",\"Add (4,6)=30 Failed, w=98\",\"Add (0,6)=32 Failed, w=98\",\"Add (1,4)=39 Failed, w=98\",\"Add (4,5)=42 Succeeded, w=140\",\"Add (0,5)=60 Failed, w=140\",\"Add (2,3)=61 Failed, w=140\",\"Add (3,5)=61 Failed, w=140\",\"Add (0,2)=66 Failed, w=140\",\"Add (0,4)=80 Failed, w=140\",\"Add (3,4)=87 Failed, w=140\",\"Add (3,6)=87 Failed, w=140\",\"Add (0,3)=91 Failed, w=140\",\"Add (1,5)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,66],[0,3,91],[0,4,80],[0,5,60],[0,6,32],[1,2,11],[1,3,19],[1,4,39],[1,5,91],[1,6,26],[2,3,61],[2,4,30],[2,6,27],[3,4,87],[3,5,61],[3,6,87],[4,5,42],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,1)=12,(1,3)=19,(1,6)=26,(2,6)=27,(2,4)=30,(4,6)=30,(0,6)=32,(1,4)=39,(4,5)=42,(0,5)=60,(2,3)=61,(3,5)=61,(0,2)=66,(0,4)=80,(3,4)=87,(3,6)=87,(0,3)=91,(1,5)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=42\",\"Find(1)=1, Find(6)=6, Add (1,6)=26 Succeeded, w=68\",\"Find(2)=1, Find(6)=1, Add (2,6)=27 Failed, w=68\",\"Find(2)=1, Find(4)=4, Add (2,4)=30 Succeeded, w=98\",\"Find(4)=1, Find(6)=1, Add (4,6)=30 Failed, w=98\",\"Find(0)=1, Find(6)=1, Add (0,6)=32 Failed, w=98\",\"Find(1)=1, Find(4)=1, Add (1,4)=39 Failed, w=98\",\"Find(4)=1, Find(5)=5, Add (4,5)=42 Succeeded, w=140\",\"Find(0)=1, Find(5)=1, Add (0,5)=60 Failed, w=140\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=140\",\"Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=140\",\"Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=140\",\"Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=140\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=140\",\"Find(3)=1, Find(6)=1, Add (3,6)=87 Failed, w=140\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=140\",\"Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,66],[0,3,91],[0,4,80],[0,5,60],[0,6,32],[1,2,11],[1,3,19],[1,4,39],[1,5,91],[1,6,26],[2,3,61],[2,4,30],[2,6,27],[3,4,87],[3,5,61],[3,6,87],[4,5,42],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,1)=12,(1,3)=19,(1,6)=26,(2,6)=27,(2,4)=30,(4,6)=30,(0,6)=32,(1,4)=39,(4,5)=42,(0,5)=60,(2,3)=61,(3,5)=61,(0,2)=66,(0,4)=80,(3,4)=87,(3,6)=87,(0,3)=91,(1,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=26 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=27 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=30 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=30 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=32 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=39 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=5, Add (4,5)=42 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=60 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=87 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,62],[0,2,6],[0,3,42],[0,4,33],[0,6,49],[1,2,43],[1,3,8],[1,4,20],[1,5,77],[2,3,60],[2,4,60],[2,5,0],[2,6,85],[3,4,87],[3,5,34],[3,6,23],[4,5,75],[4,6,43],[5,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,6],[0,3,42],[0,4,33],[0,6,49],[1,2,43],[1,3,8],[1,4,20],[1,5,77],[2,3,60],[2,4,60],[2,5,0],[2,6,85],[3,4,87],[3,5,34],[3,6,23],[4,5,75],[4,6,43],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,6],[0,3,42],[0,4,33],[0,6,49],[1,2,43],[1,3,8],[1,4,20],[1,5,77],[2,3,60],[2,4,60],[2,5,0],[2,6,85],[3,4,87],[3,5,34],[3,6,23],[4,5,75],[4,6,43],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (0,4)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,6],[0,3,42],[0,4,33],[0,6,49],[1,2,43],[1,3,8],[1,4,20],[1,5,77],[2,3,60],[2,4,60],[2,5,0],[2,6,85],[3,4,87],[3,5,34],[3,6,23],[4,5,75],[4,6,43],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (0,2)=6, w=6\",\"Add (1,3)=8, w=14\",\"Add (1,4)=20, w=34\",\"Add (3,6)=23, w=57\",\"Add (0,4)=33, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,6],[0,3,42],[0,4,33],[0,6,49],[1,2,43],[1,3,8],[1,4,20],[1,5,77],[2,3,60],[2,4,60],[2,5,0],[2,6,85],[3,4,87],[3,5,34],[3,6,23],[4,5,75],[4,6,43],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (0,2)=6 Succeeded, w=6\",\"Add (1,3)=8 Succeeded, w=14\",\"Add (1,4)=20 Succeeded, w=34\",\"Add (3,6)=23 Succeeded, w=57\",\"Add (0,4)=33 Succeeded, w=90\",\"Add (3,5)=34 Failed, w=90\",\"Add (0,3)=42 Failed, w=90\",\"Add (1,2)=43 Failed, w=90\",\"Add (4,6)=43 Failed, w=90\",\"Add (0,6)=49 Failed, w=90\",\"Add (2,3)=60 Failed, w=90\",\"Add (2,4)=60 Failed, w=90\",\"Add (0,1)=62 Failed, w=90\",\"Add (4,5)=75 Failed, w=90\",\"Add (1,5)=77 Failed, w=90\",\"Add (5,6)=82 Failed, w=90\",\"Add (2,6)=85 Failed, w=90\",\"Add (3,4)=87 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,6],[0,3,42],[0,4,33],[0,6,49],[1,2,43],[1,3,8],[1,4,20],[1,5,77],[2,3,60],[2,4,60],[2,5,0],[2,6,85],[3,4,87],[3,5,34],[3,6,23],[4,5,75],[4,6,43],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,2)=6,(1,3)=8,(1,4)=20,(3,6)=23,(0,4)=33,(3,5)=34,(0,3)=42,(1,2)=43,(4,6)=43,(0,6)=49,(2,3)=60,(2,4)=60,(0,1)=62,(4,5)=75,(1,5)=77,(5,6)=82,(2,6)=85,(3,4)=87]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=14\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=34\",\"Find(3)=1, Find(6)=6, Add (3,6)=23 Succeeded, w=57\",\"Find(0)=2, Find(4)=1, Add (0,4)=33 Succeeded, w=90\",\"Find(3)=2, Find(5)=2, Add (3,5)=34 Failed, w=90\",\"Find(0)=2, Find(3)=2, Add (0,3)=42 Failed, w=90\",\"Find(1)=2, Find(2)=2, Add (1,2)=43 Failed, w=90\",\"Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=90\",\"Find(0)=2, Find(6)=2, Add (0,6)=49 Failed, w=90\",\"Find(2)=2, Find(3)=2, Add (2,3)=60 Failed, w=90\",\"Find(2)=2, Find(4)=2, Add (2,4)=60 Failed, w=90\",\"Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=90\",\"Find(4)=2, Find(5)=2, Add (4,5)=75 Failed, w=90\",\"Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=90\",\"Find(5)=2, Find(6)=2, Add (5,6)=82 Failed, w=90\",\"Find(2)=2, Find(6)=2, Add (2,6)=85 Failed, w=90\",\"Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,6],[0,3,42],[0,4,33],[0,6,49],[1,2,43],[1,3,8],[1,4,20],[1,5,77],[2,3,60],[2,4,60],[2,5,0],[2,6,85],[3,4,87],[3,5,34],[3,6,23],[4,5,75],[4,6,43],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,2)=6,(1,3)=8,(1,4)=20,(3,6)=23,(0,4)=33,(3,5)=34,(0,3)=42,(1,2)=43,(4,6)=43,(0,6)=49,(2,3)=60,(2,4)=60,(0,1)=62,(4,5)=75,(1,5)=77,(5,6)=82,(2,6)=85,(3,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=23 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=2, Find(4)=1, Add (0,4)=33 Succeeded, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1}, Find(3)=2, Find(5)=2, Add (3,5)=34 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1}, Find(0)=2, Find(3)=2, Add (0,3)=42 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1}, Find(1)=2, Find(2)=2, Add (1,2)=43 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=49 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=60 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=60 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=75 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=82 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=85 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=87, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=87 Succeeded, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=87 Succeeded, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=87 Succeeded, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,76],[0,2,42],[0,3,72],[0,4,78],[0,5,13],[1,3,24],[1,4,62],[1,5,54],[2,4,58],[2,5,29],[3,4,73],[3,5,55],[4,5,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,42],[0,3,72],[0,4,78],[0,5,13],[1,3,24],[1,4,62],[1,5,54],[2,4,58],[2,5,29],[3,4,73],[3,5,55],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,42],[0,3,72],[0,4,78],[0,5,13],[1,3,24],[1,4,62],[1,5,54],[2,4,58],[2,5,29],[3,4,73],[3,5,55],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (1,5)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,42],[0,3,72],[0,4,78],[0,5,13],[1,3,24],[1,4,62],[1,5,54],[2,4,58],[2,5,29],[3,4,73],[3,5,55],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=11, w=11\",\"Add (0,5)=13, w=24\",\"Add (1,3)=24, w=48\",\"Add (2,5)=29, w=77\",\"Add (1,5)=54, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,42],[0,3,72],[0,4,78],[0,5,13],[1,3,24],[1,4,62],[1,5,54],[2,4,58],[2,5,29],[3,4,73],[3,5,55],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=11 Succeeded, w=11\",\"Add (0,5)=13 Succeeded, w=24\",\"Add (1,3)=24 Succeeded, w=48\",\"Add (2,5)=29 Succeeded, w=77\",\"Add (0,2)=42 Failed, w=77\",\"Add (1,5)=54 Succeeded, w=131\",\"Add (3,5)=55 Failed, w=131\",\"Add (2,4)=58 Failed, w=131\",\"Add (1,4)=62 Failed, w=131\",\"Add (0,3)=72 Failed, w=131\",\"Add (3,4)=73 Failed, w=131\",\"Add (0,1)=76 Failed, w=131\",\"Add (0,4)=78 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,42],[0,3,72],[0,4,78],[0,5,13],[1,3,24],[1,4,62],[1,5,54],[2,4,58],[2,5,29],[3,4,73],[3,5,55],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=11,(0,5)=13,(1,3)=24,(2,5)=29,(0,2)=42,(1,5)=54,(3,5)=55,(2,4)=58,(1,4)=62,(0,3)=72,(3,4)=73,(0,1)=76,(0,4)=78]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(5)=4, Add (0,5)=13 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=48\",\"Find(2)=2, Find(5)=4, Add (2,5)=29 Succeeded, w=77\",\"Find(0)=4, Find(2)=4, Add (0,2)=42 Failed, w=77\",\"Find(1)=1, Find(5)=4, Add (1,5)=54 Succeeded, w=131\",\"Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=131\",\"Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=131\",\"Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=131\",\"Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=131\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=131\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=131\",\"Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,42],[0,3,72],[0,4,78],[0,5,13],[1,3,24],[1,4,62],[1,5,54],[2,4,58],[2,5,29],[3,4,73],[3,5,55],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=11,(0,5)=13,(1,3)=24,(2,5)=29,(0,2)=42,(1,5)=54,(3,5)=55,(2,4)=58,(1,4)=62,(0,3)=72,(3,4)=73,(0,1)=76,(0,4)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=11\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=13 Succeeded, w=24\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=48\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=29 Succeeded, w=77\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=42 Failed, w=77\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=54 Succeeded, w=131\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=131\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=131\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,81],[0,2,85],[1,2,77],[1,3,0],[2,4,18],[3,4,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,85],[1,2,77],[1,3,0],[2,4,18],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,85],[1,2,77],[1,3,0],[2,4,18],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,85],[1,2,77],[1,3,0],[2,4,18],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,4)=18, w=18\",\"Add (1,2)=77, w=95\",\"Add (0,1)=81, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,85],[1,2,77],[1,3,0],[2,4,18],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,4)=18 Succeeded, w=18\",\"Add (1,2)=77 Succeeded, w=95\",\"Add (3,4)=79 Failed, w=95\",\"Add (0,1)=81 Succeeded, w=176\",\"Add (0,2)=85 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,85],[1,2,77],[1,3,0],[2,4,18],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,4)=18,(1,2)=77,(3,4)=79,(0,1)=81,(0,2)=85]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=77 Succeeded, w=95\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=95\",\"Find(0)=0, Find(1)=1, Add (0,1)=81 Succeeded, w=176\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,85],[1,2,77],[1,3,0],[2,4,18],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,4)=18,(1,2)=77,(3,4)=79,(0,1)=81,(0,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=77 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=81 Succeeded, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,38],[0,4,82],[0,7,10],[1,2,32],[1,3,36],[1,5,15],[2,3,5],[2,4,99],[2,6,90],[3,5,90],[3,6,40],[4,5,43],[4,7,74],[5,6,72],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,4,82],[0,7,10],[1,2,32],[1,3,36],[1,5,15],[2,3,5],[2,4,99],[2,6,90],[3,5,90],[3,6,40],[4,5,43],[4,7,74],[5,6,72],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,4,82],[0,7,10],[1,2,32],[1,3,36],[1,5,15],[2,3,5],[2,4,99],[2,6,90],[3,5,90],[3,6,40],[4,5,43],[4,7,74],[5,6,72],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (6,7)\",\"Add (0,7)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (4,5)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,4,82],[0,7,10],[1,2,32],[1,3,36],[1,5,15],[2,3,5],[2,4,99],[2,6,90],[3,5,90],[3,6,40],[4,5,43],[4,7,74],[5,6,72],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (6,7)=8, w=13\",\"Add (0,7)=10, w=23\",\"Add (1,5)=15, w=38\",\"Add (1,2)=32, w=70\",\"Add (0,2)=38, w=108\",\"Add (4,5)=43, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,4,82],[0,7,10],[1,2,32],[1,3,36],[1,5,15],[2,3,5],[2,4,99],[2,6,90],[3,5,90],[3,6,40],[4,5,43],[4,7,74],[5,6,72],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (6,7)=8 Succeeded, w=13\",\"Add (0,7)=10 Succeeded, w=23\",\"Add (1,5)=15 Succeeded, w=38\",\"Add (1,2)=32 Succeeded, w=70\",\"Add (1,3)=36 Failed, w=70\",\"Add (0,2)=38 Succeeded, w=108\",\"Add (3,6)=40 Failed, w=108\",\"Add (4,5)=43 Succeeded, w=151\",\"Add (5,6)=72 Failed, w=151\",\"Add (4,7)=74 Failed, w=151\",\"Add (0,4)=82 Failed, w=151\",\"Add (2,6)=90 Failed, w=151\",\"Add (3,5)=90 Failed, w=151\",\"Add (2,4)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,4,82],[0,7,10],[1,2,32],[1,3,36],[1,5,15],[2,3,5],[2,4,99],[2,6,90],[3,5,90],[3,6,40],[4,5,43],[4,7,74],[5,6,72],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(6,7)=8,(0,7)=10,(1,5)=15,(1,2)=32,(1,3)=36,(0,2)=38,(3,6)=40,(4,5)=43,(5,6)=72,(4,7)=74,(0,4)=82,(2,6)=90,(3,5)=90,(2,4)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=13\",\"Find(0)=0, Find(7)=6, Add (0,7)=10 Succeeded, w=23\",\"Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=38\",\"Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=70\",\"Find(1)=1, Find(3)=1, Add (1,3)=36 Failed, w=70\",\"Find(0)=6, Find(2)=1, Add (0,2)=38 Succeeded, w=108\",\"Find(3)=1, Find(6)=1, Add (3,6)=40 Failed, w=108\",\"Find(4)=4, Find(5)=1, Add (4,5)=43 Succeeded, w=151\",\"Find(5)=1, Find(6)=1, Add (5,6)=72 Failed, w=151\",\"Find(4)=1, Find(7)=1, Add (4,7)=74 Failed, w=151\",\"Find(0)=1, Find(4)=1, Add (0,4)=82 Failed, w=151\",\"Find(2)=1, Find(6)=1, Add (2,6)=90 Failed, w=151\",\"Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=151\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,4,82],[0,7,10],[1,2,32],[1,3,36],[1,5,15],[2,3,5],[2,4,99],[2,6,90],[3,5,90],[3,6,40],[4,5,43],[4,7,74],[5,6,72],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(6,7)=8,(0,7)=10,(1,5)=15,(1,2)=32,(1,3)=36,(0,2)=38,(3,6)=40,(4,5)=43,(5,6)=72,(4,7)=74,(0,4)=82,(2,6)=90,(3,5)=90,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=13\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(7)=6, Add (0,7)=10 Succeeded, w=23\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6, 7: 6}, Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=38\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 2, 4: 4, 5: 1, 6: 6, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=70\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 6}, Find(1)=1, Find(3)=1, Add (1,3)=36 Failed, w=70\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(0)=6, Find(2)=1, Add (0,2)=38 Succeeded, w=108\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(3)=1, Find(6)=1, Add (3,6)=40 Failed, w=108\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(4)=4, Find(5)=1, Add (4,5)=43 Succeeded, w=151\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(5)=1, Find(6)=1, Add (5,6)=72 Failed, w=151\",\"Parent: {0: 6, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=74 Failed, w=151\",\"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)=82 Failed, w=151\",\"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)=90 Failed, w=151\",\"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)=90 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,100],[0,3,98],[0,4,51],[0,5,96],[1,2,59],[1,4,51],[1,5,21],[2,3,9],[2,4,44],[2,5,84],[3,4,23],[4,5,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,3,98],[0,4,51],[0,5,96],[1,2,59],[1,4,51],[1,5,21],[2,3,9],[2,4,44],[2,5,84],[3,4,23],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,3,98],[0,4,51],[0,5,96],[1,2,59],[1,4,51],[1,5,21],[2,3,9],[2,4,44],[2,5,84],[3,4,23],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,3,98],[0,4,51],[0,5,96],[1,2,59],[1,4,51],[1,5,21],[2,3,9],[2,4,44],[2,5,84],[3,4,23],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9, w=9\",\"Add (1,5)=21, w=30\",\"Add (3,4)=23, w=53\",\"Add (0,4)=51, w=104\",\"Add (1,4)=51, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,3,98],[0,4,51],[0,5,96],[1,2,59],[1,4,51],[1,5,21],[2,3,9],[2,4,44],[2,5,84],[3,4,23],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9 Succeeded, w=9\",\"Add (1,5)=21 Succeeded, w=30\",\"Add (3,4)=23 Succeeded, w=53\",\"Add (2,4)=44 Failed, w=53\",\"Add (0,4)=51 Succeeded, w=104\",\"Add (1,4)=51 Succeeded, w=155\",\"Add (1,2)=59 Failed, w=155\",\"Add (4,5)=77 Failed, w=155\",\"Add (2,5)=84 Failed, w=155\",\"Add (0,5)=96 Failed, w=155\",\"Add (0,3)=98 Failed, w=155\",\"Add (0,1)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,3,98],[0,4,51],[0,5,96],[1,2,59],[1,4,51],[1,5,21],[2,3,9],[2,4,44],[2,5,84],[3,4,23],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(1,5)=21,(3,4)=23,(2,4)=44,(0,4)=51,(1,4)=51,(1,2)=59,(4,5)=77,(2,5)=84,(0,5)=96,(0,3)=98,(0,1)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=30\",\"Find(3)=2, Find(4)=4, Add (3,4)=23 Succeeded, w=53\",\"Find(2)=2, Find(4)=2, Add (2,4)=44 Failed, w=53\",\"Find(0)=0, Find(4)=2, Add (0,4)=51 Succeeded, w=104\",\"Find(1)=1, Find(4)=2, Add (1,4)=51 Succeeded, w=155\",\"Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=155\",\"Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=155\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=155\",\"Find(0)=1, Find(5)=1, Add (0,5)=96 Failed, w=155\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=155\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,3,98],[0,4,51],[0,5,96],[1,2,59],[1,4,51],[1,5,21],[2,3,9],[2,4,44],[2,5,84],[3,4,23],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(1,5)=21,(3,4)=23,(2,4)=44,(0,4)=51,(1,4)=51,(1,2)=59,(4,5)=77,(2,5)=84,(0,5)=96,(0,3)=98,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(4)=4, Add (3,4)=23 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(2)=2, Find(4)=2, Add (2,4)=44 Failed, w=53\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=0, Find(4)=2, Add (0,4)=51 Succeeded, w=104\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1}, Find(1)=1, Find(4)=2, Add (1,4)=51 Succeeded, w=155\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=155\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=155\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=96 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,57],[0,2,93],[0,3,74],[0,4,48],[0,5,99],[0,6,74],[1,2,57],[1,3,90],[1,4,69],[1,5,98],[1,6,17],[2,3,10],[2,4,10],[2,5,26],[2,6,30],[3,4,67],[3,5,18],[3,6,16],[4,5,21],[4,6,42],[5,6,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,93],[0,3,74],[0,4,48],[0,5,99],[0,6,74],[1,2,57],[1,3,90],[1,4,69],[1,5,98],[1,6,17],[2,3,10],[2,4,10],[2,5,26],[2,6,30],[3,4,67],[3,5,18],[3,6,16],[4,5,21],[4,6,42],[5,6,90]]}",
"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\":[[0,1,57],[0,2,93],[0,3,74],[0,4,48],[0,5,99],[0,6,74],[1,2,57],[1,3,90],[1,4,69],[1,5,98],[1,6,17],[2,3,10],[2,4,10],[2,5,26],[2,6,30],[3,4,67],[3,5,18],[3,6,16],[4,5,21],[4,6,42],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,93],[0,3,74],[0,4,48],[0,5,99],[0,6,74],[1,2,57],[1,3,90],[1,4,69],[1,5,98],[1,6,17],[2,3,10],[2,4,10],[2,5,26],[2,6,30],[3,4,67],[3,5,18],[3,6,16],[4,5,21],[4,6,42],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (2,4)=10, w=20\",\"Add (3,6)=16, w=36\",\"Add (1,6)=17, w=53\",\"Add (3,5)=18, w=71\",\"Add (0,4)=48, 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\":[[0,1,57],[0,2,93],[0,3,74],[0,4,48],[0,5,99],[0,6,74],[1,2,57],[1,3,90],[1,4,69],[1,5,98],[1,6,17],[2,3,10],[2,4,10],[2,5,26],[2,6,30],[3,4,67],[3,5,18],[3,6,16],[4,5,21],[4,6,42],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (2,4)=10 Succeeded, w=20\",\"Add (3,6)=16 Succeeded, w=36\",\"Add (1,6)=17 Succeeded, w=53\",\"Add (3,5)=18 Succeeded, w=71\",\"Add (4,5)=21 Failed, w=71\",\"Add (2,5)=26 Failed, w=71\",\"Add (2,6)=30 Failed, w=71\",\"Add (4,6)=42 Failed, w=71\",\"Add (0,4)=48 Succeeded, w=119\",\"Add (0,1)=57 Failed, w=119\",\"Add (1,2)=57 Failed, w=119\",\"Add (3,4)=67 Failed, w=119\",\"Add (1,4)=69 Failed, w=119\",\"Add (0,3)=74 Failed, w=119\",\"Add (0,6)=74 Failed, w=119\",\"Add (1,3)=90 Failed, w=119\",\"Add (5,6)=90 Failed, w=119\",\"Add (0,2)=93 Failed, w=119\",\"Add (1,5)=98 Failed, w=119\",\"Add (0,5)=99 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\":[[0,1,57],[0,2,93],[0,3,74],[0,4,48],[0,5,99],[0,6,74],[1,2,57],[1,3,90],[1,4,69],[1,5,98],[1,6,17],[2,3,10],[2,4,10],[2,5,26],[2,6,30],[3,4,67],[3,5,18],[3,6,16],[4,5,21],[4,6,42],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(2,4)=10,(3,6)=16,(1,6)=17,(3,5)=18,(4,5)=21,(2,5)=26,(2,6)=30,(4,6)=42,(0,4)=48,(0,1)=57,(1,2)=57,(3,4)=67,(1,4)=69,(0,3)=74,(0,6)=74,(1,3)=90,(5,6)=90,(0,2)=93,(1,5)=98,(0,5)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=20\",\"Find(3)=2, Find(6)=6, Add (3,6)=16 Succeeded, w=36\",\"Find(1)=1, Find(6)=2, Add (1,6)=17 Succeeded, w=53\",\"Find(3)=2, Find(5)=5, Add (3,5)=18 Succeeded, w=71\",\"Find(4)=2, Find(5)=2, Add (4,5)=21 Failed, w=71\",\"Find(2)=2, Find(5)=2, Add (2,5)=26 Failed, w=71\",\"Find(2)=2, Find(6)=2, Add (2,6)=30 Failed, w=71\",\"Find(4)=2, Find(6)=2, Add (4,6)=42 Failed, w=71\",\"Find(0)=0, Find(4)=2, Add (0,4)=48 Succeeded, w=119\",\"Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=119\",\"Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=119\",\"Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=119\",\"Find(1)=2, Find(4)=2, Add (1,4)=69 Failed, w=119\",\"Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=119\",\"Find(0)=2, Find(6)=2, Add (0,6)=74 Failed, w=119\",\"Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=119\",\"Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=119\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=119\",\"Find(1)=2, Find(5)=2, Add (1,5)=98 Failed, w=119\",\"Find(0)=2, Find(5)=2, Add (0,5)=99 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\":[[0,1,57],[0,2,93],[0,3,74],[0,4,48],[0,5,99],[0,6,74],[1,2,57],[1,3,90],[1,4,69],[1,5,98],[1,6,17],[2,3,10],[2,4,10],[2,5,26],[2,6,30],[3,4,67],[3,5,18],[3,6,16],[4,5,21],[4,6,42],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(2,4)=10,(3,6)=16,(1,6)=17,(3,5)=18,(4,5)=21,(2,5)=26,(2,6)=30,(4,6)=42,(0,4)=48,(0,1)=57,(1,2)=57,(3,4)=67,(1,4)=69,(0,3)=74,(0,6)=74,(1,3)=90,(5,6)=90,(0,2)=93,(1,5)=98,(0,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=16 Succeeded, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=17 Succeeded, w=53\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=18 Succeeded, w=71\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=21 Failed, w=71\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=26 Failed, w=71\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=30 Failed, w=71\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=42 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=48 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=57 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)=67 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)=69 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=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)=74 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)=90 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, 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)=98 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=99 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,55],[0,3,85],[1,2,42],[1,4,24],[2,3,10],[2,4,30],[3,4,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,3,85],[1,2,42],[1,4,24],[2,3,10],[2,4,30],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,3,85],[1,2,42],[1,4,24],[2,3,10],[2,4,30],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,3,85],[1,2,42],[1,4,24],[2,3,10],[2,4,30],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (3,4)=10, w=20\",\"Add (1,4)=24, w=44\",\"Add (0,1)=55, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,3,85],[1,2,42],[1,4,24],[2,3,10],[2,4,30],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (3,4)=10 Succeeded, w=20\",\"Add (1,4)=24 Succeeded, w=44\",\"Add (2,4)=30 Failed, w=44\",\"Add (1,2)=42 Failed, w=44\",\"Add (0,1)=55 Succeeded, w=99\",\"Add (0,3)=85 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,3,85],[1,2,42],[1,4,24],[2,3,10],[2,4,30],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(3,4)=10,(1,4)=24,(2,4)=30,(1,2)=42,(0,1)=55,(0,3)=85]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(3)=2, Find(4)=4, Add (3,4)=10 Succeeded, w=20\",\"Find(1)=1, Find(4)=2, Add (1,4)=24 Succeeded, w=44\",\"Find(2)=2, Find(4)=2, Add (2,4)=30 Failed, w=44\",\"Find(1)=2, Find(2)=2, Add (1,2)=42 Failed, w=44\",\"Find(0)=0, Find(1)=2, Add (0,1)=55 Succeeded, w=99\",\"Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,3,85],[1,2,42],[1,4,24],[2,3,10],[2,4,30],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(3,4)=10,(1,4)=24,(2,4)=30,(1,2)=42,(0,1)=55,(0,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=24 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=30 Failed, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=42 Failed, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=55 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,2],[0,3,37],[0,5,96],[0,6,25],[1,2,98],[1,3,50],[2,3,11],[2,4,19],[3,4,25],[3,5,43],[3,6,0],[4,5,34],[4,6,62],[5,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,2],[0,3,37],[0,5,96],[0,6,25],[1,2,98],[1,3,50],[2,3,11],[2,4,19],[3,4,25],[3,5,43],[3,6,0],[4,5,34],[4,6,62],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,2],[0,3,37],[0,5,96],[0,6,25],[1,2,98],[1,3,50],[2,3,11],[2,4,19],[3,4,25],[3,5,43],[3,6,0],[4,5,34],[4,6,62],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,3)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,2],[0,3,37],[0,5,96],[0,6,25],[1,2,98],[1,3,50],[2,3,11],[2,4,19],[3,4,25],[3,5,43],[3,6,0],[4,5,34],[4,6,62],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (0,2)=2, w=2\",\"Add (2,3)=11, w=13\",\"Add (2,4)=19, w=32\",\"Add (4,5)=34, w=66\",\"Add (1,3)=50, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,2],[0,3,37],[0,5,96],[0,6,25],[1,2,98],[1,3,50],[2,3,11],[2,4,19],[3,4,25],[3,5,43],[3,6,0],[4,5,34],[4,6,62],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (0,2)=2 Succeeded, w=2\",\"Add (2,3)=11 Succeeded, w=13\",\"Add (2,4)=19 Succeeded, w=32\",\"Add (0,6)=25 Failed, w=32\",\"Add (3,4)=25 Failed, w=32\",\"Add (4,5)=34 Succeeded, w=66\",\"Add (0,3)=37 Failed, w=66\",\"Add (3,5)=43 Failed, w=66\",\"Add (1,3)=50 Succeeded, w=116\",\"Add (5,6)=58 Failed, w=116\",\"Add (4,6)=62 Failed, w=116\",\"Add (0,5)=96 Failed, w=116\",\"Add (1,2)=98 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,2],[0,3,37],[0,5,96],[0,6,25],[1,2,98],[1,3,50],[2,3,11],[2,4,19],[3,4,25],[3,5,43],[3,6,0],[4,5,34],[4,6,62],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,2)=2,(2,3)=11,(2,4)=19,(0,6)=25,(3,4)=25,(4,5)=34,(0,3)=37,(3,5)=43,(1,3)=50,(5,6)=58,(4,6)=62,(0,5)=96,(1,2)=98]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(2)=0, Find(3)=3, Add (2,3)=11 Succeeded, w=13\",\"Find(2)=0, Find(4)=4, Add (2,4)=19 Succeeded, w=32\",\"Find(0)=0, Find(6)=0, Add (0,6)=25 Failed, w=32\",\"Find(3)=0, Find(4)=0, Add (3,4)=25 Failed, w=32\",\"Find(4)=0, Find(5)=5, Add (4,5)=34 Succeeded, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=37 Failed, w=66\",\"Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=66\",\"Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=116\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=116\",\"Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=116\",\"Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=116\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,2],[0,3,37],[0,5,96],[0,6,25],[1,2,98],[1,3,50],[2,3,11],[2,4,19],[3,4,25],[3,5,43],[3,6,0],[4,5,34],[4,6,62],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,2)=2,(2,3)=11,(2,4)=19,(0,6)=25,(3,4)=25,(4,5)=34,(0,3)=37,(3,5)=43,(1,3)=50,(5,6)=58,(4,6)=62,(0,5)=96,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 3}, Find(2)=0, Find(3)=3, Add (2,3)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3}, Find(2)=0, Find(4)=4, Add (2,4)=19 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=25 Failed, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=25 Failed, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=34 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=37 Failed, w=66\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,50],[0,2,72],[0,4,61],[0,5,5],[0,6,74],[0,7,90],[1,2,90],[1,5,95],[1,6,59],[1,7,90],[2,3,64],[2,5,47],[2,6,61],[2,7,65],[3,4,1],[3,5,31],[3,6,72],[3,7,32],[4,5,62],[4,7,43],[5,6,24],[5,7,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,72],[0,4,61],[0,5,5],[0,6,74],[0,7,90],[1,2,90],[1,5,95],[1,6,59],[1,7,90],[2,3,64],[2,5,47],[2,6,61],[2,7,65],[3,4,1],[3,5,31],[3,6,72],[3,7,32],[4,5,62],[4,7,43],[5,6,24],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,72],[0,4,61],[0,5,5],[0,6,74],[0,7,90],[1,2,90],[1,5,95],[1,6,59],[1,7,90],[2,3,64],[2,5,47],[2,6,61],[2,7,65],[3,4,1],[3,5,31],[3,6,72],[3,7,32],[4,5,62],[4,7,43],[5,6,24],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,72],[0,4,61],[0,5,5],[0,6,74],[0,7,90],[1,2,90],[1,5,95],[1,6,59],[1,7,90],[2,3,64],[2,5,47],[2,6,61],[2,7,65],[3,4,1],[3,5,31],[3,6,72],[3,7,32],[4,5,62],[4,7,43],[5,6,24],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,5)=5, w=6\",\"Add (5,6)=24, w=30\",\"Add (3,5)=31, w=61\",\"Add (3,7)=32, w=93\",\"Add (2,5)=47, w=140\",\"Add (0,1)=50, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,72],[0,4,61],[0,5,5],[0,6,74],[0,7,90],[1,2,90],[1,5,95],[1,6,59],[1,7,90],[2,3,64],[2,5,47],[2,6,61],[2,7,65],[3,4,1],[3,5,31],[3,6,72],[3,7,32],[4,5,62],[4,7,43],[5,6,24],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,5)=5 Succeeded, w=6\",\"Add (5,6)=24 Succeeded, w=30\",\"Add (3,5)=31 Succeeded, w=61\",\"Add (3,7)=32 Succeeded, w=93\",\"Add (4,7)=43 Failed, w=93\",\"Add (2,5)=47 Succeeded, w=140\",\"Add (0,1)=50 Succeeded, w=190\",\"Add (1,6)=59 Failed, w=190\",\"Add (0,4)=61 Failed, w=190\",\"Add (2,6)=61 Failed, w=190\",\"Add (4,5)=62 Failed, w=190\",\"Add (2,3)=64 Failed, w=190\",\"Add (2,7)=65 Failed, w=190\",\"Add (5,7)=66 Failed, w=190\",\"Add (0,2)=72 Failed, w=190\",\"Add (3,6)=72 Failed, w=190\",\"Add (0,6)=74 Failed, w=190\",\"Add (0,7)=90 Failed, w=190\",\"Add (1,2)=90 Failed, w=190\",\"Add (1,7)=90 Failed, w=190\",\"Add (1,5)=95 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,72],[0,4,61],[0,5,5],[0,6,74],[0,7,90],[1,2,90],[1,5,95],[1,6,59],[1,7,90],[2,3,64],[2,5,47],[2,6,61],[2,7,65],[3,4,1],[3,5,31],[3,6,72],[3,7,32],[4,5,62],[4,7,43],[5,6,24],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,5)=5,(5,6)=24,(3,5)=31,(3,7)=32,(4,7)=43,(2,5)=47,(0,1)=50,(1,6)=59,(0,4)=61,(2,6)=61,(4,5)=62,(2,3)=64,(2,7)=65,(5,7)=66,(0,2)=72,(3,6)=72,(0,6)=74,(0,7)=90,(1,2)=90,(1,7)=90,(1,5)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=6\",\"Find(5)=0, Find(6)=6, Add (5,6)=24 Succeeded, w=30\",\"Find(3)=3, Find(5)=0, Add (3,5)=31 Succeeded, w=61\",\"Find(3)=3, Find(7)=7, Add (3,7)=32 Succeeded, w=93\",\"Find(4)=3, Find(7)=3, Add (4,7)=43 Failed, w=93\",\"Find(2)=2, Find(5)=3, Add (2,5)=47 Succeeded, w=140\",\"Find(0)=3, Find(1)=1, Add (0,1)=50 Succeeded, w=190\",\"Find(1)=3, Find(6)=3, Add (1,6)=59 Failed, w=190\",\"Find(0)=3, Find(4)=3, Add (0,4)=61 Failed, w=190\",\"Find(2)=3, Find(6)=3, Add (2,6)=61 Failed, w=190\",\"Find(4)=3, Find(5)=3, Add (4,5)=62 Failed, w=190\",\"Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=190\",\"Find(2)=3, Find(7)=3, Add (2,7)=65 Failed, w=190\",\"Find(5)=3, Find(7)=3, Add (5,7)=66 Failed, w=190\",\"Find(0)=3, Find(2)=3, Add (0,2)=72 Failed, w=190\",\"Find(3)=3, Find(6)=3, Add (3,6)=72 Failed, w=190\",\"Find(0)=3, Find(6)=3, Add (0,6)=74 Failed, w=190\",\"Find(0)=3, Find(7)=3, Add (0,7)=90 Failed, w=190\",\"Find(1)=3, Find(2)=3, Add (1,2)=90 Failed, w=190\",\"Find(1)=3, Find(7)=3, Add (1,7)=90 Failed, w=190\",\"Find(1)=3, Find(5)=3, Add (1,5)=95 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,72],[0,4,61],[0,5,5],[0,6,74],[0,7,90],[1,2,90],[1,5,95],[1,6,59],[1,7,90],[2,3,64],[2,5,47],[2,6,61],[2,7,65],[3,4,1],[3,5,31],[3,6,72],[3,7,32],[4,5,62],[4,7,43],[5,6,24],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,5)=5,(5,6)=24,(3,5)=31,(3,7)=32,(4,7)=43,(2,5)=47,(0,1)=50,(1,6)=59,(0,4)=61,(2,6)=61,(4,5)=62,(2,3)=64,(2,7)=65,(5,7)=66,(0,2)=72,(3,6)=72,(0,6)=74,(0,7)=90,(1,2)=90,(1,7)=90,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=6, Add (5,6)=24 Succeeded, w=30\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(3)=3, Find(5)=0, Add (3,5)=31 Succeeded, w=61\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=32 Succeeded, w=93\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=43 Failed, w=93\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(2)=2, Find(5)=3, Add (2,5)=47 Succeeded, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(0)=3, Find(1)=1, Add (0,1)=50 Succeeded, w=190\",\"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)=59 Failed, w=190\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=61 Failed, w=190\",\"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)=61 Failed, w=190\",\"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)=62 Failed, w=190\",\"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=190\",\"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)=65 Failed, w=190\",\"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)=66 Failed, w=190\",\"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)=72 Failed, w=190\",\"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)=72 Failed, w=190\",\"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)=74 Failed, w=190\",\"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)=90 Failed, w=190\",\"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)=90 Failed, w=190\",\"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)=90 Failed, w=190\",\"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)=95 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[0,3,97],[1,2,63],[2,3,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,97],[1,2,63],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,97],[1,2,63],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,97],[1,2,63],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (0,1)=42, w=49\",\"Add (1,2)=63, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,97],[1,2,63],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (0,1)=42 Succeeded, w=49\",\"Add (1,2)=63 Succeeded, w=112\",\"Add (0,3)=97 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,97],[1,2,63],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,1)=42,(1,2)=63,(0,3)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=49\",\"Find(1)=0, Find(2)=2, Add (1,2)=63 Succeeded, w=112\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,97],[1,2,63],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,1)=42,(1,2)=63,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=63 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,71],[1,2,7],[1,3,22],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[1,2,7],[1,3,22],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[1,2,7],[1,3,22],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[1,2,7],[1,3,22],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (2,3)=11, w=18\",\"Add (0,1)=71, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[1,2,7],[1,3,22],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (2,3)=11 Succeeded, w=18\",\"Add (1,3)=22 Failed, w=18\",\"Add (0,1)=71 Succeeded, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[1,2,7],[1,3,22],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(2,3)=11,(1,3)=22,(0,1)=71]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(2)=1, Find(3)=3, Add (2,3)=11 Succeeded, w=18\",\"Find(1)=1, Find(3)=1, Add (1,3)=22 Failed, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=71 Succeeded, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[1,2,7],[1,3,22],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(2,3)=11,(1,3)=22,(0,1)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=22 Failed, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=71 Succeeded, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,89],[0,2,23],[0,3,33],[0,4,6],[0,5,69],[0,6,5],[0,7,32],[1,3,31],[1,4,33],[1,5,62],[1,6,79],[1,7,38],[2,3,69],[2,4,3],[2,5,77],[2,6,89],[2,7,51],[3,4,60],[3,5,80],[3,6,75],[3,7,51],[4,5,69],[4,6,17],[4,7,65],[5,6,35],[5,7,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,23],[0,3,33],[0,4,6],[0,5,69],[0,6,5],[0,7,32],[1,3,31],[1,4,33],[1,5,62],[1,6,79],[1,7,38],[2,3,69],[2,4,3],[2,5,77],[2,6,89],[2,7,51],[3,4,60],[3,5,80],[3,6,75],[3,7,51],[4,5,69],[4,6,17],[4,7,65],[5,6,35],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,23],[0,3,33],[0,4,6],[0,5,69],[0,6,5],[0,7,32],[1,3,31],[1,4,33],[1,5,62],[1,6,79],[1,7,38],[2,3,69],[2,4,3],[2,5,77],[2,6,89],[2,7,51],[3,4,60],[3,5,80],[3,6,75],[3,7,51],[4,5,69],[4,6,17],[4,7,65],[5,6,35],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (5,7)\",\"Add (1,3)\",\"Add (0,7)\",\"Add (0,3)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,23],[0,3,33],[0,4,6],[0,5,69],[0,6,5],[0,7,32],[1,3,31],[1,4,33],[1,5,62],[1,6,79],[1,7,38],[2,3,69],[2,4,3],[2,5,77],[2,6,89],[2,7,51],[3,4,60],[3,5,80],[3,6,75],[3,7,51],[4,5,69],[4,6,17],[4,7,65],[5,6,35],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (0,6)=5, w=8\",\"Add (0,4)=6, w=14\",\"Add (5,7)=19, w=33\",\"Add (1,3)=31, w=64\",\"Add (0,7)=32, w=96\",\"Add (0,3)=33, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,23],[0,3,33],[0,4,6],[0,5,69],[0,6,5],[0,7,32],[1,3,31],[1,4,33],[1,5,62],[1,6,79],[1,7,38],[2,3,69],[2,4,3],[2,5,77],[2,6,89],[2,7,51],[3,4,60],[3,5,80],[3,6,75],[3,7,51],[4,5,69],[4,6,17],[4,7,65],[5,6,35],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (0,6)=5 Succeeded, w=8\",\"Add (0,4)=6 Succeeded, w=14\",\"Add (4,6)=17 Failed, w=14\",\"Add (5,7)=19 Succeeded, w=33\",\"Add (0,2)=23 Failed, w=33\",\"Add (1,3)=31 Succeeded, w=64\",\"Add (0,7)=32 Succeeded, w=96\",\"Add (0,3)=33 Succeeded, w=129\",\"Add (1,4)=33 Failed, w=129\",\"Add (5,6)=35 Failed, w=129\",\"Add (1,7)=38 Failed, w=129\",\"Add (2,7)=51 Failed, w=129\",\"Add (3,7)=51 Failed, w=129\",\"Add (3,4)=60 Failed, w=129\",\"Add (1,5)=62 Failed, w=129\",\"Add (4,7)=65 Failed, w=129\",\"Add (0,5)=69 Failed, w=129\",\"Add (2,3)=69 Failed, w=129\",\"Add (4,5)=69 Failed, w=129\",\"Add (3,6)=75 Failed, w=129\",\"Add (2,5)=77 Failed, w=129\",\"Add (1,6)=79 Failed, w=129\",\"Add (3,5)=80 Failed, w=129\",\"Add (0,1)=89 Failed, w=129\",\"Add (2,6)=89 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,23],[0,3,33],[0,4,6],[0,5,69],[0,6,5],[0,7,32],[1,3,31],[1,4,33],[1,5,62],[1,6,79],[1,7,38],[2,3,69],[2,4,3],[2,5,77],[2,6,89],[2,7,51],[3,4,60],[3,5,80],[3,6,75],[3,7,51],[4,5,69],[4,6,17],[4,7,65],[5,6,35],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,6)=5,(0,4)=6,(4,6)=17,(5,7)=19,(0,2)=23,(1,3)=31,(0,7)=32,(0,3)=33,(1,4)=33,(5,6)=35,(1,7)=38,(2,7)=51,(3,7)=51,(3,4)=60,(1,5)=62,(4,7)=65,(0,5)=69,(2,3)=69,(4,5)=69,(3,6)=75,(2,5)=77,(1,6)=79,(3,5)=80,(0,1)=89,(2,6)=89]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=8\",\"Find(0)=0, Find(4)=2, Add (0,4)=6 Succeeded, w=14\",\"Find(4)=0, Find(6)=0, Add (4,6)=17 Failed, w=14\",\"Find(5)=5, Find(7)=7, Add (5,7)=19 Succeeded, w=33\",\"Find(0)=0, Find(2)=0, Add (0,2)=23 Failed, w=33\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=64\",\"Find(0)=0, Find(7)=5, Add (0,7)=32 Succeeded, w=96\",\"Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=129\",\"Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=129\",\"Find(5)=0, Find(6)=0, Add (5,6)=35 Failed, w=129\",\"Find(1)=0, Find(7)=0, Add (1,7)=38 Failed, w=129\",\"Find(2)=0, Find(7)=0, Add (2,7)=51 Failed, w=129\",\"Find(3)=0, Find(7)=0, Add (3,7)=51 Failed, w=129\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=129\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=129\",\"Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=129\",\"Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=129\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=129\",\"Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=129\",\"Find(3)=0, Find(6)=0, Add (3,6)=75 Failed, w=129\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=129\",\"Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=129\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=129\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=129\",\"Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,23],[0,3,33],[0,4,6],[0,5,69],[0,6,5],[0,7,32],[1,3,31],[1,4,33],[1,5,62],[1,6,79],[1,7,38],[2,3,69],[2,4,3],[2,5,77],[2,6,89],[2,7,51],[3,4,60],[3,5,80],[3,6,75],[3,7,51],[4,5,69],[4,6,17],[4,7,65],[5,6,35],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,6)=5,(0,4)=6,(4,6)=17,(5,7)=19,(0,2)=23,(1,3)=31,(0,7)=32,(0,3)=33,(1,4)=33,(5,6)=35,(1,7)=38,(2,7)=51,(3,7)=51,(3,4)=60,(1,5)=62,(4,7)=65,(0,5)=69,(2,3)=69,(4,5)=69,(3,6)=75,(2,5)=77,(1,6)=79,(3,5)=80,(0,1)=89,(2,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 2, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=6 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(4)=0, Find(6)=0, Add (4,6)=17 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=19 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 5}, Find(0)=0, Find(2)=0, Add (0,2)=23 Failed, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 0, 7: 5}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=32 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 5}, Find(5)=0, Find(6)=0, Add (5,6)=35 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=38 Failed, w=129\",\"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)=51 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=51 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=129\",\"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)=69 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=129\",\"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)=75 Failed, w=129\",\"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)=77 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=129\",\"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)=80 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,33],[0,3,16],[0,4,55],[0,5,62],[1,2,98],[1,4,1],[1,5,10],[3,4,76],[3,5,42],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,33],[0,3,16],[0,4,55],[0,5,62],[1,2,98],[1,4,1],[1,5,10],[3,4,76],[3,5,42],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,33],[0,3,16],[0,4,55],[0,5,62],[1,2,98],[1,4,1],[1,5,10],[3,4,76],[3,5,42],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,33],[0,3,16],[0,4,55],[0,5,62],[1,2,98],[1,4,1],[1,5,10],[3,4,76],[3,5,42],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (4,5)=8, w=9\",\"Add (0,3)=16, w=25\",\"Add (0,2)=33, w=58\",\"Add (3,5)=42, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,33],[0,3,16],[0,4,55],[0,5,62],[1,2,98],[1,4,1],[1,5,10],[3,4,76],[3,5,42],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (4,5)=8 Succeeded, w=9\",\"Add (1,5)=10 Failed, w=9\",\"Add (0,3)=16 Succeeded, w=25\",\"Add (0,2)=33 Succeeded, w=58\",\"Add (3,5)=42 Succeeded, w=100\",\"Add (0,4)=55 Failed, w=100\",\"Add (0,5)=62 Failed, w=100\",\"Add (3,4)=76 Failed, w=100\",\"Add (1,2)=98 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,33],[0,3,16],[0,4,55],[0,5,62],[1,2,98],[1,4,1],[1,5,10],[3,4,76],[3,5,42],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(4,5)=8,(1,5)=10,(0,3)=16,(0,2)=33,(3,5)=42,(0,4)=55,(0,5)=62,(3,4)=76,(1,2)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(4)=1, Find(5)=5, Add (4,5)=8 Succeeded, w=9\",\"Find(1)=1, Find(5)=1, Add (1,5)=10 Failed, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=25\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=58\",\"Find(3)=0, Find(5)=1, Add (3,5)=42 Succeeded, w=100\",\"Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=100\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=100\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,33],[0,3,16],[0,4,55],[0,5,62],[1,2,98],[1,4,1],[1,5,10],[3,4,76],[3,5,42],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(4,5)=8,(1,5)=10,(0,3)=16,(0,2)=33,(3,5)=42,(0,4)=55,(0,5)=62,(3,4)=76,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=10 Failed, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1}, Find(3)=0, Find(5)=1, Add (3,5)=42 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,28],[0,4,92],[0,5,3],[1,4,20],[2,3,21],[2,5,32],[3,4,5],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,28],[0,4,92],[0,5,3],[1,4,20],[2,3,21],[2,5,32],[3,4,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,28],[0,4,92],[0,5,3],[1,4,20],[2,3,21],[2,5,32],[3,4,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,28],[0,4,92],[0,5,3],[1,4,20],[2,3,21],[2,5,32],[3,4,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (3,4)=5, w=8\",\"Add (4,5)=8, w=16\",\"Add (1,4)=20, w=36\",\"Add (2,3)=21, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,28],[0,4,92],[0,5,3],[1,4,20],[2,3,21],[2,5,32],[3,4,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (3,4)=5 Succeeded, w=8\",\"Add (4,5)=8 Succeeded, w=16\",\"Add (1,4)=20 Succeeded, w=36\",\"Add (2,3)=21 Succeeded, w=57\",\"Add (0,2)=28 Failed, w=57\",\"Add (2,5)=32 Failed, w=57\",\"Add (0,4)=92 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,28],[0,4,92],[0,5,3],[1,4,20],[2,3,21],[2,5,32],[3,4,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(3,4)=5,(4,5)=8,(1,4)=20,(2,3)=21,(0,2)=28,(2,5)=32,(0,4)=92]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=8\",\"Find(4)=3, Find(5)=0, Add (4,5)=8 Succeeded, w=16\",\"Find(1)=1, Find(4)=3, Add (1,4)=20 Succeeded, w=36\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=57\",\"Find(0)=3, Find(2)=3, Add (0,2)=28 Failed, w=57\",\"Find(2)=3, Find(5)=3, Add (2,5)=32 Failed, w=57\",\"Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,28],[0,4,92],[0,5,3],[1,4,20],[2,3,21],[2,5,32],[3,4,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(3,4)=5,(4,5)=8,(1,4)=20,(2,3)=21,(0,2)=28,(2,5)=32,(0,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(4)=3, Find(5)=0, Add (4,5)=8 Succeeded, w=16\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 0}, Find(1)=1, Find(4)=3, Add (1,4)=20 Succeeded, w=36\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(2)=3, Add (0,2)=28 Failed, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=32 Failed, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,86],[1,3,96],[2,3,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,96],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,96],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,96],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=77, w=77\",\"Add (0,3)=86, w=163\",\"Add (1,3)=96, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,96],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=77 Succeeded, w=77\",\"Add (0,3)=86 Succeeded, w=163\",\"Add (1,3)=96 Succeeded, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,96],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=77,(0,3)=86,(1,3)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=77 Succeeded, w=77\",\"Find(0)=0, Find(3)=2, Add (0,3)=86 Succeeded, w=163\",\"Find(1)=1, Find(3)=2, Add (1,3)=96 Succeeded, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,96],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=77,(0,3)=86,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=77 Succeeded, w=77\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=86 Succeeded, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=96 Succeeded, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,74],[0,3,53],[0,5,26],[1,2,29],[1,4,44],[1,5,35],[1,6,80],[2,3,84],[2,4,33],[2,5,63],[3,5,34],[4,5,94],[5,6,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,53],[0,5,26],[1,2,29],[1,4,44],[1,5,35],[1,6,80],[2,3,84],[2,4,33],[2,5,63],[3,5,34],[4,5,94],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,53],[0,5,26],[1,2,29],[1,4,44],[1,5,35],[1,6,80],[2,3,84],[2,4,33],[2,5,63],[3,5,34],[4,5,94],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (5,6)\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,53],[0,5,26],[1,2,29],[1,4,44],[1,5,35],[1,6,80],[2,3,84],[2,4,33],[2,5,63],[3,5,34],[4,5,94],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=26, w=26\",\"Add (1,2)=29, w=55\",\"Add (2,4)=33, w=88\",\"Add (3,5)=34, w=122\",\"Add (1,5)=35, w=157\",\"Add (5,6)=66, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,53],[0,5,26],[1,2,29],[1,4,44],[1,5,35],[1,6,80],[2,3,84],[2,4,33],[2,5,63],[3,5,34],[4,5,94],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=26 Succeeded, w=26\",\"Add (1,2)=29 Succeeded, w=55\",\"Add (2,4)=33 Succeeded, w=88\",\"Add (3,5)=34 Succeeded, w=122\",\"Add (1,5)=35 Succeeded, w=157\",\"Add (1,4)=44 Failed, w=157\",\"Add (0,3)=53 Failed, w=157\",\"Add (2,5)=63 Failed, w=157\",\"Add (5,6)=66 Succeeded, w=223\",\"Add (0,2)=74 Failed, w=223\",\"Add (1,6)=80 Failed, w=223\",\"Add (2,3)=84 Failed, w=223\",\"Add (4,5)=94 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,53],[0,5,26],[1,2,29],[1,4,44],[1,5,35],[1,6,80],[2,3,84],[2,4,33],[2,5,63],[3,5,34],[4,5,94],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=26,(1,2)=29,(2,4)=33,(3,5)=34,(1,5)=35,(1,4)=44,(0,3)=53,(2,5)=63,(5,6)=66,(0,2)=74,(1,6)=80,(2,3)=84,(4,5)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=55\",\"Find(2)=1, Find(4)=4, Add (2,4)=33 Succeeded, w=88\",\"Find(3)=3, Find(5)=0, Add (3,5)=34 Succeeded, w=122\",\"Find(1)=1, Find(5)=0, Add (1,5)=35 Succeeded, w=157\",\"Find(1)=1, Find(4)=1, Add (1,4)=44 Failed, w=157\",\"Find(0)=1, Find(3)=1, Add (0,3)=53 Failed, w=157\",\"Find(2)=1, Find(5)=1, Add (2,5)=63 Failed, w=157\",\"Find(5)=1, Find(6)=6, Add (5,6)=66 Succeeded, w=223\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=223\",\"Find(1)=1, Find(6)=1, Add (1,6)=80 Failed, w=223\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=223\",\"Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,53],[0,5,26],[1,2,29],[1,4,44],[1,5,35],[1,6,80],[2,3,84],[2,4,33],[2,5,63],[3,5,34],[4,5,94],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=26,(1,2)=29,(2,4)=33,(3,5)=34,(1,5)=35,(1,4)=44,(0,3)=53,(2,5)=63,(5,6)=66,(0,2)=74,(1,6)=80,(2,3)=84,(4,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 6}, Find(2)=1, Find(4)=4, Add (2,4)=33 Succeeded, w=88\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=34 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=35 Succeeded, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=1, Add (1,4)=44 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 6}, Find(0)=1, Find(3)=1, Add (0,3)=53 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=63 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=66 Succeeded, w=223\",\"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=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=80 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,2,18],[0,3,60],[0,4,68],[0,5,71],[0,6,15],[1,2,50],[1,3,46],[1,5,77],[1,6,94],[2,3,32],[2,4,79],[2,5,66],[2,6,29],[3,4,80],[3,5,40],[3,6,76],[4,5,89],[4,6,21],[5,6,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,18],[0,3,60],[0,4,68],[0,5,71],[0,6,15],[1,2,50],[1,3,46],[1,5,77],[1,6,94],[2,3,32],[2,4,79],[2,5,66],[2,6,29],[3,4,80],[3,5,40],[3,6,76],[4,5,89],[4,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,18],[0,3,60],[0,4,68],[0,5,71],[0,6,15],[1,2,50],[1,3,46],[1,5,77],[1,6,94],[2,3,32],[2,4,79],[2,5,66],[2,6,29],[3,4,80],[3,5,40],[3,6,76],[4,5,89],[4,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,18],[0,3,60],[0,4,68],[0,5,71],[0,6,15],[1,2,50],[1,3,46],[1,5,77],[1,6,94],[2,3,32],[2,4,79],[2,5,66],[2,6,29],[3,4,80],[3,5,40],[3,6,76],[4,5,89],[4,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (0,6)=15, w=15\",\"Add (0,2)=18, w=33\",\"Add (4,6)=21, w=54\",\"Add (2,3)=32, w=86\",\"Add (0,1)=40, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,18],[0,3,60],[0,4,68],[0,5,71],[0,6,15],[1,2,50],[1,3,46],[1,5,77],[1,6,94],[2,3,32],[2,4,79],[2,5,66],[2,6,29],[3,4,80],[3,5,40],[3,6,76],[4,5,89],[4,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (0,6)=15 Succeeded, w=15\",\"Add (0,2)=18 Succeeded, w=33\",\"Add (4,6)=21 Succeeded, w=54\",\"Add (2,6)=29 Failed, w=54\",\"Add (2,3)=32 Succeeded, w=86\",\"Add (0,1)=40 Succeeded, w=126\",\"Add (3,5)=40 Failed, w=126\",\"Add (1,3)=46 Failed, w=126\",\"Add (1,2)=50 Failed, w=126\",\"Add (0,3)=60 Failed, w=126\",\"Add (2,5)=66 Failed, w=126\",\"Add (0,4)=68 Failed, w=126\",\"Add (0,5)=71 Failed, w=126\",\"Add (3,6)=76 Failed, w=126\",\"Add (1,5)=77 Failed, w=126\",\"Add (2,4)=79 Failed, w=126\",\"Add (3,4)=80 Failed, w=126\",\"Add (4,5)=89 Failed, w=126\",\"Add (1,6)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,18],[0,3,60],[0,4,68],[0,5,71],[0,6,15],[1,2,50],[1,3,46],[1,5,77],[1,6,94],[2,3,32],[2,4,79],[2,5,66],[2,6,29],[3,4,80],[3,5,40],[3,6,76],[4,5,89],[4,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(0,6)=15,(0,2)=18,(4,6)=21,(2,6)=29,(2,3)=32,(0,1)=40,(3,5)=40,(1,3)=46,(1,2)=50,(0,3)=60,(2,5)=66,(0,4)=68,(0,5)=71,(3,6)=76,(1,5)=77,(2,4)=79,(3,4)=80,(4,5)=89,(1,6)=94]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(6)=5, Add (0,6)=15 Succeeded, w=15\",\"Find(0)=5, Find(2)=2, Add (0,2)=18 Succeeded, w=33\",\"Find(4)=4, Find(6)=5, Add (4,6)=21 Succeeded, w=54\",\"Find(2)=5, Find(6)=5, Add (2,6)=29 Failed, w=54\",\"Find(2)=5, Find(3)=3, Add (2,3)=32 Succeeded, w=86\",\"Find(0)=5, Find(1)=1, Add (0,1)=40 Succeeded, w=126\",\"Find(3)=5, Find(5)=5, Add (3,5)=40 Failed, w=126\",\"Find(1)=5, Find(3)=5, Add (1,3)=46 Failed, w=126\",\"Find(1)=5, Find(2)=5, Add (1,2)=50 Failed, w=126\",\"Find(0)=5, Find(3)=5, Add (0,3)=60 Failed, w=126\",\"Find(2)=5, Find(5)=5, Add (2,5)=66 Failed, w=126\",\"Find(0)=5, Find(4)=5, Add (0,4)=68 Failed, w=126\",\"Find(0)=5, Find(5)=5, Add (0,5)=71 Failed, w=126\",\"Find(3)=5, Find(6)=5, Add (3,6)=76 Failed, w=126\",\"Find(1)=5, Find(5)=5, Add (1,5)=77 Failed, w=126\",\"Find(2)=5, Find(4)=5, Add (2,4)=79 Failed, w=126\",\"Find(3)=5, Find(4)=5, Add (3,4)=80 Failed, w=126\",\"Find(4)=5, Find(5)=5, Add (4,5)=89 Failed, w=126\",\"Find(1)=5, Find(6)=5, Add (1,6)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,18],[0,3,60],[0,4,68],[0,5,71],[0,6,15],[1,2,50],[1,3,46],[1,5,77],[1,6,94],[2,3,32],[2,4,79],[2,5,66],[2,6,29],[3,4,80],[3,5,40],[3,6,76],[4,5,89],[4,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(0,6)=15,(0,2)=18,(4,6)=21,(2,6)=29,(2,3)=32,(0,1)=40,(3,5)=40,(1,3)=46,(1,2)=50,(0,3)=60,(2,5)=66,(0,4)=68,(0,5)=71,(3,6)=76,(1,5)=77,(2,4)=79,(3,4)=80,(4,5)=89,(1,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=15 Succeeded, w=15\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=5, Find(2)=2, Add (0,2)=18 Succeeded, w=33\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(6)=5, Add (4,6)=21 Succeeded, w=54\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=29 Failed, w=54\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(3)=3, Add (2,3)=32 Succeeded, w=86\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(1)=1, Add (0,1)=40 Succeeded, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=40 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=46 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(2)=5, Add (1,2)=50 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=60 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=66 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=68 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(5)=5, Add (0,5)=71 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=76 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=77 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=79 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(4)=5, Add (3,4)=80 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=89 Failed, w=126\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,39],[0,3,33],[0,5,25],[0,6,81],[1,2,59],[1,3,38],[1,4,32],[1,5,73],[1,6,34],[2,3,78],[2,4,21],[2,5,30],[3,5,3],[3,6,27],[4,5,72],[4,6,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,39],[0,3,33],[0,5,25],[0,6,81],[1,2,59],[1,3,38],[1,4,32],[1,5,73],[1,6,34],[2,3,78],[2,4,21],[2,5,30],[3,5,3],[3,6,27],[4,5,72],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,39],[0,3,33],[0,5,25],[0,6,81],[1,2,59],[1,3,38],[1,4,32],[1,5,73],[1,6,34],[2,3,78],[2,4,21],[2,5,30],[3,5,3],[3,6,27],[4,5,72],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,39],[0,3,33],[0,5,25],[0,6,81],[1,2,59],[1,3,38],[1,4,32],[1,5,73],[1,6,34],[2,3,78],[2,4,21],[2,5,30],[3,5,3],[3,6,27],[4,5,72],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (2,4)=21, w=24\",\"Add (0,5)=25, w=49\",\"Add (3,6)=27, w=76\",\"Add (2,5)=30, w=106\",\"Add (1,4)=32, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,39],[0,3,33],[0,5,25],[0,6,81],[1,2,59],[1,3,38],[1,4,32],[1,5,73],[1,6,34],[2,3,78],[2,4,21],[2,5,30],[3,5,3],[3,6,27],[4,5,72],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (2,4)=21 Succeeded, w=24\",\"Add (0,5)=25 Succeeded, w=49\",\"Add (3,6)=27 Succeeded, w=76\",\"Add (2,5)=30 Succeeded, w=106\",\"Add (1,4)=32 Succeeded, w=138\",\"Add (0,3)=33 Failed, w=138\",\"Add (1,6)=34 Failed, w=138\",\"Add (1,3)=38 Failed, w=138\",\"Add (0,2)=39 Failed, w=138\",\"Add (4,6)=53 Failed, w=138\",\"Add (1,2)=59 Failed, w=138\",\"Add (4,5)=72 Failed, w=138\",\"Add (1,5)=73 Failed, w=138\",\"Add (2,3)=78 Failed, w=138\",\"Add (0,6)=81 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,39],[0,3,33],[0,5,25],[0,6,81],[1,2,59],[1,3,38],[1,4,32],[1,5,73],[1,6,34],[2,3,78],[2,4,21],[2,5,30],[3,5,3],[3,6,27],[4,5,72],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(2,4)=21,(0,5)=25,(3,6)=27,(2,5)=30,(1,4)=32,(0,3)=33,(1,6)=34,(1,3)=38,(0,2)=39,(4,6)=53,(1,2)=59,(4,5)=72,(1,5)=73,(2,3)=78,(0,6)=81]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=24\",\"Find(0)=0, Find(5)=3, Add (0,5)=25 Succeeded, w=49\",\"Find(3)=3, Find(6)=6, Add (3,6)=27 Succeeded, w=76\",\"Find(2)=2, Find(5)=3, Add (2,5)=30 Succeeded, w=106\",\"Find(1)=1, Find(4)=2, Add (1,4)=32 Succeeded, w=138\",\"Find(0)=2, Find(3)=2, Add (0,3)=33 Failed, w=138\",\"Find(1)=2, Find(6)=2, Add (1,6)=34 Failed, w=138\",\"Find(1)=2, Find(3)=2, Add (1,3)=38 Failed, w=138\",\"Find(0)=2, Find(2)=2, Add (0,2)=39 Failed, w=138\",\"Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=138\",\"Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=138\",\"Find(4)=2, Find(5)=2, Add (4,5)=72 Failed, w=138\",\"Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=138\",\"Find(2)=2, Find(3)=2, Add (2,3)=78 Failed, w=138\",\"Find(0)=2, Find(6)=2, Add (0,6)=81 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,39],[0,3,33],[0,5,25],[0,6,81],[1,2,59],[1,3,38],[1,4,32],[1,5,73],[1,6,34],[2,3,78],[2,4,21],[2,5,30],[3,5,3],[3,6,27],[4,5,72],[4,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(2,4)=21,(0,5)=25,(3,6)=27,(2,5)=30,(1,4)=32,(0,3)=33,(1,6)=34,(1,3)=38,(0,2)=39,(4,6)=53,(1,2)=59,(4,5)=72,(1,5)=73,(2,3)=78,(0,6)=81]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=24\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(0)=0, Find(5)=3, Add (0,5)=25 Succeeded, w=49\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=27 Succeeded, w=76\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3}, Find(2)=2, Find(5)=3, Add (2,5)=30 Succeeded, w=106\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3}, Find(1)=1, Find(4)=2, Add (1,4)=32 Succeeded, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3}, Find(0)=2, Find(3)=2, Add (0,3)=33 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=34 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=38 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=39 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=72 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=78 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=81 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,2,38],[0,3,65],[1,2,87],[1,3,94],[2,3,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,38],[0,3,65],[1,2,87],[1,3,94],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,38],[0,3,65],[1,2,87],[1,3,94],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,38],[0,3,65],[1,2,87],[1,3,94],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=38, w=38\",\"Add (0,1)=49, w=87\",\"Add (2,3)=54, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,38],[0,3,65],[1,2,87],[1,3,94],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=38 Succeeded, w=38\",\"Add (0,1)=49 Succeeded, w=87\",\"Add (2,3)=54 Succeeded, w=141\",\"Add (0,3)=65 Failed, w=141\",\"Add (1,2)=87 Failed, w=141\",\"Add (1,3)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,38],[0,3,65],[1,2,87],[1,3,94],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=38,(0,1)=49,(2,3)=54,(0,3)=65,(1,2)=87,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=38\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=87\",\"Find(2)=0, Find(3)=3, Add (2,3)=54 Succeeded, w=141\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=141\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=141\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,38],[0,3,65],[1,2,87],[1,3,94],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=38,(0,1)=49,(2,3)=54,(0,3)=65,(1,2)=87,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=54 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,77],[0,3,78],[0,4,17],[0,5,19],[1,2,52],[1,3,85],[1,4,13],[2,3,91],[2,4,26],[3,5,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,77],[0,3,78],[0,4,17],[0,5,19],[1,2,52],[1,3,85],[1,4,13],[2,3,91],[2,4,26],[3,5,70]]}",
"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],\"edges\":[[0,2,77],[0,3,78],[0,4,17],[0,5,19],[1,2,52],[1,3,85],[1,4,13],[2,3,91],[2,4,26],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (3,5)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,77],[0,3,78],[0,4,17],[0,5,19],[1,2,52],[1,3,85],[1,4,13],[2,3,91],[2,4,26],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13, w=13\",\"Add (0,4)=17, w=30\",\"Add (0,5)=19, w=49\",\"Add (2,4)=26, w=75\",\"Add (3,5)=70, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,77],[0,3,78],[0,4,17],[0,5,19],[1,2,52],[1,3,85],[1,4,13],[2,3,91],[2,4,26],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13 Succeeded, w=13\",\"Add (0,4)=17 Succeeded, w=30\",\"Add (0,5)=19 Succeeded, w=49\",\"Add (2,4)=26 Succeeded, w=75\",\"Add (1,2)=52 Failed, w=75\",\"Add (3,5)=70 Succeeded, w=145\",\"Add (0,2)=77 Failed, w=145\",\"Add (0,3)=78 Failed, w=145\",\"Add (1,3)=85 Failed, w=145\",\"Add (2,3)=91 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,77],[0,3,78],[0,4,17],[0,5,19],[1,2,52],[1,3,85],[1,4,13],[2,3,91],[2,4,26],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(0,4)=17,(0,5)=19,(2,4)=26,(1,2)=52,(3,5)=70,(0,2)=77,(0,3)=78,(1,3)=85,(2,3)=91]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Find(0)=0, Find(4)=1, Add (0,4)=17 Succeeded, w=30\",\"Find(0)=1, Find(5)=5, Add (0,5)=19 Succeeded, w=49\",\"Find(2)=2, Find(4)=1, Add (2,4)=26 Succeeded, w=75\",\"Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=75\",\"Find(3)=3, Find(5)=1, Add (3,5)=70 Succeeded, w=145\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=145\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=145\",\"Find(1)=1, Find(3)=1, Add (1,3)=85 Failed, w=145\",\"Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,77],[0,3,78],[0,4,17],[0,5,19],[1,2,52],[1,3,85],[1,4,13],[2,3,91],[2,4,26],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(0,4)=17,(0,5)=19,(2,4)=26,(1,2)=52,(3,5)=70,(0,2)=77,(0,3)=78,(1,3)=85,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=17 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=19 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=26 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=70 Succeeded, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=85 Failed, w=145\",\"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=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,62],[0,3,52],[0,4,26],[0,5,35],[0,6,57],[1,2,88],[1,3,37],[1,4,25],[1,5,26],[1,6,68],[2,3,73],[2,4,32],[2,5,11],[2,6,53],[3,4,93],[3,5,76],[3,6,73],[4,5,48],[4,6,52],[5,6,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,62],[0,3,52],[0,4,26],[0,5,35],[0,6,57],[1,2,88],[1,3,37],[1,4,25],[1,5,26],[1,6,68],[2,3,73],[2,4,32],[2,5,11],[2,6,53],[3,4,93],[3,5,76],[3,6,73],[4,5,48],[4,6,52],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,62],[0,3,52],[0,4,26],[0,5,35],[0,6,57],[1,2,88],[1,3,37],[1,4,25],[1,5,26],[1,6,68],[2,3,73],[2,4,32],[2,5,11],[2,6,53],[3,4,93],[3,5,76],[3,6,73],[4,5,48],[4,6,52],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (1,3)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,62],[0,3,52],[0,4,26],[0,5,35],[0,6,57],[1,2,88],[1,3,37],[1,4,25],[1,5,26],[1,6,68],[2,3,73],[2,4,32],[2,5,11],[2,6,53],[3,4,93],[3,5,76],[3,6,73],[4,5,48],[4,6,52],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (1,4)=25, w=36\",\"Add (0,4)=26, w=62\",\"Add (1,5)=26, w=88\",\"Add (5,6)=26, w=114\",\"Add (1,3)=37, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,62],[0,3,52],[0,4,26],[0,5,35],[0,6,57],[1,2,88],[1,3,37],[1,4,25],[1,5,26],[1,6,68],[2,3,73],[2,4,32],[2,5,11],[2,6,53],[3,4,93],[3,5,76],[3,6,73],[4,5,48],[4,6,52],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (1,4)=25 Succeeded, w=36\",\"Add (0,4)=26 Succeeded, w=62\",\"Add (1,5)=26 Succeeded, w=88\",\"Add (5,6)=26 Succeeded, w=114\",\"Add (2,4)=32 Failed, w=114\",\"Add (0,5)=35 Failed, w=114\",\"Add (1,3)=37 Succeeded, w=151\",\"Add (4,5)=48 Failed, w=151\",\"Add (0,3)=52 Failed, w=151\",\"Add (4,6)=52 Failed, w=151\",\"Add (2,6)=53 Failed, w=151\",\"Add (0,6)=57 Failed, w=151\",\"Add (0,2)=62 Failed, w=151\",\"Add (1,6)=68 Failed, w=151\",\"Add (2,3)=73 Failed, w=151\",\"Add (3,6)=73 Failed, w=151\",\"Add (3,5)=76 Failed, w=151\",\"Add (0,1)=84 Failed, w=151\",\"Add (1,2)=88 Failed, w=151\",\"Add (3,4)=93 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,62],[0,3,52],[0,4,26],[0,5,35],[0,6,57],[1,2,88],[1,3,37],[1,4,25],[1,5,26],[1,6,68],[2,3,73],[2,4,32],[2,5,11],[2,6,53],[3,4,93],[3,5,76],[3,6,73],[4,5,48],[4,6,52],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(1,4)=25,(0,4)=26,(1,5)=26,(5,6)=26,(2,4)=32,(0,5)=35,(1,3)=37,(4,5)=48,(0,3)=52,(4,6)=52,(2,6)=53,(0,6)=57,(0,2)=62,(1,6)=68,(2,3)=73,(3,6)=73,(3,5)=76,(0,1)=84,(1,2)=88,(3,4)=93]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=36\",\"Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=62\",\"Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=88\",\"Find(5)=1, Find(6)=6, Add (5,6)=26 Succeeded, w=114\",\"Find(2)=1, Find(4)=1, Add (2,4)=32 Failed, w=114\",\"Find(0)=1, Find(5)=1, Add (0,5)=35 Failed, w=114\",\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=151\",\"Find(4)=1, Find(5)=1, Add (4,5)=48 Failed, w=151\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=151\",\"Find(4)=1, Find(6)=1, Add (4,6)=52 Failed, w=151\",\"Find(2)=1, Find(6)=1, Add (2,6)=53 Failed, w=151\",\"Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=151\",\"Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=151\",\"Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=151\",\"Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=151\",\"Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=151\",\"Find(3)=1, Find(5)=1, Add (3,5)=76 Failed, w=151\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=151\",\"Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=151\",\"Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,62],[0,3,52],[0,4,26],[0,5,35],[0,6,57],[1,2,88],[1,3,37],[1,4,25],[1,5,26],[1,6,68],[2,3,73],[2,4,32],[2,5,11],[2,6,53],[3,4,93],[3,5,76],[3,6,73],[4,5,48],[4,6,52],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(1,4)=25,(0,4)=26,(1,5)=26,(5,6)=26,(2,4)=32,(0,5)=35,(1,3)=37,(4,5)=48,(0,3)=52,(4,6)=52,(2,6)=53,(0,6)=57,(0,2)=62,(1,6)=68,(2,3)=73,(3,6)=73,(3,5)=76,(0,1)=84,(1,2)=88,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=26 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=32 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=35 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=48 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=52 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=53 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=76 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,38],[0,2,1],[0,3,88],[0,4,18],[0,5,19],[0,6,60],[0,7,91],[1,2,27],[1,3,71],[1,4,33],[1,5,43],[1,6,77],[1,7,81],[2,3,82],[2,4,97],[2,5,99],[2,6,55],[3,4,54],[3,5,40],[3,6,47],[3,7,29],[4,5,9],[4,6,13],[4,7,65],[5,6,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,88],[0,4,18],[0,5,19],[0,6,60],[0,7,91],[1,2,27],[1,3,71],[1,4,33],[1,5,43],[1,6,77],[1,7,81],[2,3,82],[2,4,97],[2,5,99],[2,6,55],[3,4,54],[3,5,40],[3,6,47],[3,7,29],[4,5,9],[4,6,13],[4,7,65],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,88],[0,4,18],[0,5,19],[0,6,60],[0,7,91],[1,2,27],[1,3,71],[1,4,33],[1,5,43],[1,6,77],[1,7,81],[2,3,82],[2,4,97],[2,5,99],[2,6,55],[3,4,54],[3,5,40],[3,6,47],[3,7,29],[4,5,9],[4,6,13],[4,7,65],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (3,5)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,88],[0,4,18],[0,5,19],[0,6,60],[0,7,91],[1,2,27],[1,3,71],[1,4,33],[1,5,43],[1,6,77],[1,7,81],[2,3,82],[2,4,97],[2,5,99],[2,6,55],[3,4,54],[3,5,40],[3,6,47],[3,7,29],[4,5,9],[4,6,13],[4,7,65],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (4,5)=9, w=10\",\"Add (4,6)=13, w=23\",\"Add (0,4)=18, w=41\",\"Add (1,2)=27, w=68\",\"Add (3,7)=29, w=97\",\"Add (3,5)=40, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,88],[0,4,18],[0,5,19],[0,6,60],[0,7,91],[1,2,27],[1,3,71],[1,4,33],[1,5,43],[1,6,77],[1,7,81],[2,3,82],[2,4,97],[2,5,99],[2,6,55],[3,4,54],[3,5,40],[3,6,47],[3,7,29],[4,5,9],[4,6,13],[4,7,65],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (4,5)=9 Succeeded, w=10\",\"Add (4,6)=13 Succeeded, w=23\",\"Add (0,4)=18 Succeeded, w=41\",\"Add (0,5)=19 Failed, w=41\",\"Add (1,2)=27 Succeeded, w=68\",\"Add (3,7)=29 Succeeded, w=97\",\"Add (1,4)=33 Failed, w=97\",\"Add (0,1)=38 Failed, w=97\",\"Add (3,5)=40 Succeeded, w=137\",\"Add (1,5)=43 Failed, w=137\",\"Add (3,6)=47 Failed, w=137\",\"Add (3,4)=54 Failed, w=137\",\"Add (2,6)=55 Failed, w=137\",\"Add (0,6)=60 Failed, w=137\",\"Add (5,6)=63 Failed, w=137\",\"Add (4,7)=65 Failed, w=137\",\"Add (1,3)=71 Failed, w=137\",\"Add (1,6)=77 Failed, w=137\",\"Add (1,7)=81 Failed, w=137\",\"Add (2,3)=82 Failed, w=137\",\"Add (0,3)=88 Failed, w=137\",\"Add (0,7)=91 Failed, w=137\",\"Add (2,4)=97 Failed, w=137\",\"Add (2,5)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,88],[0,4,18],[0,5,19],[0,6,60],[0,7,91],[1,2,27],[1,3,71],[1,4,33],[1,5,43],[1,6,77],[1,7,81],[2,3,82],[2,4,97],[2,5,99],[2,6,55],[3,4,54],[3,5,40],[3,6,47],[3,7,29],[4,5,9],[4,6,13],[4,7,65],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(4,5)=9,(4,6)=13,(0,4)=18,(0,5)=19,(1,2)=27,(3,7)=29,(1,4)=33,(0,1)=38,(3,5)=40,(1,5)=43,(3,6)=47,(3,4)=54,(2,6)=55,(0,6)=60,(5,6)=63,(4,7)=65,(1,3)=71,(1,6)=77,(1,7)=81,(2,3)=82,(0,3)=88,(0,7)=91,(2,4)=97,(2,5)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=10\",\"Find(4)=4, Find(6)=6, Add (4,6)=13 Succeeded, w=23\",\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=41\",\"Find(0)=0, Find(5)=0, Add (0,5)=19 Failed, w=41\",\"Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=68\",\"Find(3)=3, Find(7)=7, Add (3,7)=29 Succeeded, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=97\",\"Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=97\",\"Find(3)=3, Find(5)=0, Add (3,5)=40 Succeeded, w=137\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=137\",\"Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=137\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=137\",\"Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=137\",\"Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=137\",\"Find(5)=0, Find(6)=0, Add (5,6)=63 Failed, w=137\",\"Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=137\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=137\",\"Find(1)=0, Find(6)=0, Add (1,6)=77 Failed, w=137\",\"Find(1)=0, Find(7)=0, Add (1,7)=81 Failed, w=137\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=137\",\"Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=137\",\"Find(0)=0, Find(7)=0, Add (0,7)=91 Failed, w=137\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=137\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,88],[0,4,18],[0,5,19],[0,6,60],[0,7,91],[1,2,27],[1,3,71],[1,4,33],[1,5,43],[1,6,77],[1,7,81],[2,3,82],[2,4,97],[2,5,99],[2,6,55],[3,4,54],[3,5,40],[3,6,47],[3,7,29],[4,5,9],[4,6,13],[4,7,65],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(4,5)=9,(4,6)=13,(0,4)=18,(0,5)=19,(1,2)=27,(3,7)=29,(1,4)=33,(0,1)=38,(3,5)=40,(1,5)=43,(3,6)=47,(3,4)=54,(2,6)=55,(0,6)=60,(5,6)=63,(4,7)=65,(1,3)=71,(1,6)=77,(1,7)=81,(2,3)=82,(0,3)=88,(0,7)=91,(2,4)=97,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 4, 6: 4, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=19 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=29 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4, 7: 3}, Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4, 7: 3}, Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 3}, Find(3)=3, Find(5)=0, Add (3,5)=40 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 3}, Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(5)=0, Find(6)=0, Add (5,6)=63 Failed, w=137\",\"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)=65 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=137\",\"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=137\",\"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)=81 Failed, w=137\",\"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)=82 Failed, w=137\",\"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)=88 Failed, w=137\",\"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)=91 Failed, w=137\",\"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)=97 Failed, w=137\",\"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)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,43],[0,3,28],[1,2,73],[1,3,13],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,43],[0,3,28],[1,2,73],[1,3,13],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,43],[0,3,28],[1,2,73],[1,3,13],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,43],[0,3,28],[1,2,73],[1,3,13],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (1,3)=13, w=24\",\"Add (0,3)=28, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,43],[0,3,28],[1,2,73],[1,3,13],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (1,3)=13 Succeeded, w=24\",\"Add (0,3)=28 Succeeded, w=52\",\"Add (0,2)=43 Failed, w=52\",\"Add (0,1)=45 Failed, w=52\",\"Add (1,2)=73 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,43],[0,3,28],[1,2,73],[1,3,13],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(1,3)=13,(0,3)=28,(0,2)=43,(0,1)=45,(1,2)=73]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=2, Add (1,3)=13 Succeeded, w=24\",\"Find(0)=0, Find(3)=2, Add (0,3)=28 Succeeded, w=52\",\"Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=52\",\"Find(0)=2, Find(1)=2, Add (0,1)=45 Failed, w=52\",\"Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,43],[0,3,28],[1,2,73],[1,3,13],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(1,3)=13,(0,3)=28,(0,2)=43,(0,1)=45,(1,2)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=13 Succeeded, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=28 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=45 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,56],[0,3,5],[0,4,75],[2,3,44],[2,4,32],[3,4,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,3,5],[0,4,75],[2,3,44],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,3,5],[0,4,75],[2,3,44],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,3,5],[0,4,75],[2,3,44],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (2,4)=32, w=37\",\"Add (2,3)=44, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,3,5],[0,4,75],[2,3,44],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (2,4)=32 Succeeded, w=37\",\"Add (2,3)=44 Succeeded, w=81\",\"Add (0,2)=56 Failed, w=81\",\"Add (3,4)=61 Failed, w=81\",\"Add (0,4)=75 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,3,5],[0,4,75],[2,3,44],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,4)=32,(2,3)=44,(0,2)=56,(3,4)=61,(0,4)=75]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=37\",\"Find(2)=2, Find(3)=0, Add (2,3)=44 Succeeded, w=81\",\"Find(0)=2, Find(2)=2, Add (0,2)=56 Failed, w=81\",\"Find(3)=2, Find(4)=2, Add (3,4)=61 Failed, w=81\",\"Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,3,5],[0,4,75],[2,3,44],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,4)=32,(2,3)=44,(0,2)=56,(3,4)=61,(0,4)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=44 Succeeded, w=81\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=56 Failed, w=81\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=61 Failed, w=81\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,13],[0,3,68],[0,4,85],[0,5,67],[0,6,14],[1,2,79],[1,3,35],[1,6,89],[2,3,91],[2,4,8],[2,6,23],[3,4,48],[3,5,80],[3,6,62],[4,5,18],[4,6,77],[5,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,13],[0,3,68],[0,4,85],[0,5,67],[0,6,14],[1,2,79],[1,3,35],[1,6,89],[2,3,91],[2,4,8],[2,6,23],[3,4,48],[3,5,80],[3,6,62],[4,5,18],[4,6,77],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,13],[0,3,68],[0,4,85],[0,5,67],[0,6,14],[1,2,79],[1,3,35],[1,6,89],[2,3,91],[2,4,8],[2,6,23],[3,4,48],[3,5,80],[3,6,62],[4,5,18],[4,6,77],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,13],[0,3,68],[0,4,85],[0,5,67],[0,6,14],[1,2,79],[1,3,35],[1,6,89],[2,3,91],[2,4,8],[2,6,23],[3,4,48],[3,5,80],[3,6,62],[4,5,18],[4,6,77],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8, w=8\",\"Add (0,2)=13, w=21\",\"Add (0,6)=14, w=35\",\"Add (4,5)=18, w=53\",\"Add (0,1)=22, w=75\",\"Add (1,3)=35, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,13],[0,3,68],[0,4,85],[0,5,67],[0,6,14],[1,2,79],[1,3,35],[1,6,89],[2,3,91],[2,4,8],[2,6,23],[3,4,48],[3,5,80],[3,6,62],[4,5,18],[4,6,77],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8 Succeeded, w=8\",\"Add (0,2)=13 Succeeded, w=21\",\"Add (0,6)=14 Succeeded, w=35\",\"Add (4,5)=18 Succeeded, w=53\",\"Add (0,1)=22 Succeeded, w=75\",\"Add (2,6)=23 Failed, w=75\",\"Add (1,3)=35 Succeeded, w=110\",\"Add (3,4)=48 Failed, w=110\",\"Add (3,6)=62 Failed, w=110\",\"Add (0,5)=67 Failed, w=110\",\"Add (0,3)=68 Failed, w=110\",\"Add (4,6)=77 Failed, w=110\",\"Add (1,2)=79 Failed, w=110\",\"Add (3,5)=80 Failed, w=110\",\"Add (5,6)=83 Failed, w=110\",\"Add (0,4)=85 Failed, w=110\",\"Add (1,6)=89 Failed, w=110\",\"Add (2,3)=91 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,13],[0,3,68],[0,4,85],[0,5,67],[0,6,14],[1,2,79],[1,3,35],[1,6,89],[2,3,91],[2,4,8],[2,6,23],[3,4,48],[3,5,80],[3,6,62],[4,5,18],[4,6,77],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(0,2)=13,(0,6)=14,(4,5)=18,(0,1)=22,(2,6)=23,(1,3)=35,(3,4)=48,(3,6)=62,(0,5)=67,(0,3)=68,(4,6)=77,(1,2)=79,(3,5)=80,(5,6)=83,(0,4)=85,(1,6)=89,(2,3)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Find(0)=2, Find(6)=6, Add (0,6)=14 Succeeded, w=35\",\"Find(4)=2, Find(5)=5, Add (4,5)=18 Succeeded, w=53\",\"Find(0)=2, Find(1)=1, Add (0,1)=22 Succeeded, w=75\",\"Find(2)=2, Find(6)=2, Add (2,6)=23 Failed, w=75\",\"Find(1)=2, Find(3)=3, Add (1,3)=35 Succeeded, w=110\",\"Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=110\",\"Find(3)=2, Find(6)=2, Add (3,6)=62 Failed, w=110\",\"Find(0)=2, Find(5)=2, Add (0,5)=67 Failed, w=110\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=110\",\"Find(4)=2, Find(6)=2, Add (4,6)=77 Failed, w=110\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=110\",\"Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=110\",\"Find(5)=2, Find(6)=2, Add (5,6)=83 Failed, w=110\",\"Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=110\",\"Find(1)=2, Find(6)=2, Add (1,6)=89 Failed, w=110\",\"Find(2)=2, Find(3)=2, Add (2,3)=91 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,13],[0,3,68],[0,4,85],[0,5,67],[0,6,14],[1,2,79],[1,3,35],[1,6,89],[2,3,91],[2,4,8],[2,6,23],[3,4,48],[3,5,80],[3,6,62],[4,5,18],[4,6,77],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(0,2)=13,(0,6)=14,(4,5)=18,(0,1)=22,(2,6)=23,(1,3)=35,(3,4)=48,(3,6)=62,(0,5)=67,(0,3)=68,(4,6)=77,(1,2)=79,(3,5)=80,(5,6)=83,(0,4)=85,(1,6)=89,(2,3)=91]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(6)=6, Add (0,6)=14 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=5, Add (4,5)=18 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=1, Add (0,1)=22 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=23 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=3, Add (1,3)=35 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=62 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=67 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=77 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=83 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=89 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=91 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,84],[0,3,30],[0,5,30],[1,3,81],[1,4,68],[1,5,78],[2,3,0],[2,4,55],[2,5,59],[3,4,63],[3,5,56],[4,5,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,84],[0,3,30],[0,5,30],[1,3,81],[1,4,68],[1,5,78],[2,3,0],[2,4,55],[2,5,59],[3,4,63],[3,5,56],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,84],[0,3,30],[0,5,30],[1,3,81],[1,4,68],[1,5,78],[2,3,0],[2,4,55],[2,5,59],[3,4,63],[3,5,56],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,84],[0,3,30],[0,5,30],[1,3,81],[1,4,68],[1,5,78],[2,3,0],[2,4,55],[2,5,59],[3,4,63],[3,5,56],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (4,5)=29, w=29\",\"Add (0,3)=30, w=59\",\"Add (0,5)=30, w=89\",\"Add (1,4)=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],\"edges\":[[0,1,90],[0,2,84],[0,3,30],[0,5,30],[1,3,81],[1,4,68],[1,5,78],[2,3,0],[2,4,55],[2,5,59],[3,4,63],[3,5,56],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (4,5)=29 Succeeded, w=29\",\"Add (0,3)=30 Succeeded, w=59\",\"Add (0,5)=30 Succeeded, w=89\",\"Add (2,4)=55 Failed, w=89\",\"Add (3,5)=56 Failed, w=89\",\"Add (2,5)=59 Failed, w=89\",\"Add (3,4)=63 Failed, w=89\",\"Add (1,4)=68 Succeeded, w=157\",\"Add (1,5)=78 Failed, w=157\",\"Add (1,3)=81 Failed, w=157\",\"Add (0,2)=84 Failed, w=157\",\"Add (0,1)=90 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,84],[0,3,30],[0,5,30],[1,3,81],[1,4,68],[1,5,78],[2,3,0],[2,4,55],[2,5,59],[3,4,63],[3,5,56],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(4,5)=29,(0,3)=30,(0,5)=30,(2,4)=55,(3,5)=56,(2,5)=59,(3,4)=63,(1,4)=68,(1,5)=78,(1,3)=81,(0,2)=84,(0,1)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=29 Succeeded, w=29\",\"Find(0)=0, Find(3)=2, Add (0,3)=30 Succeeded, w=59\",\"Find(0)=2, Find(5)=4, Add (0,5)=30 Succeeded, w=89\",\"Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=89\",\"Find(3)=2, Find(5)=2, Add (3,5)=56 Failed, w=89\",\"Find(2)=2, Find(5)=2, Add (2,5)=59 Failed, w=89\",\"Find(3)=2, Find(4)=2, Add (3,4)=63 Failed, w=89\",\"Find(1)=1, Find(4)=2, Add (1,4)=68 Succeeded, w=157\",\"Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=157\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=157\",\"Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=157\",\"Find(0)=2, Find(1)=2, Add (0,1)=90 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,84],[0,3,30],[0,5,30],[1,3,81],[1,4,68],[1,5,78],[2,3,0],[2,4,55],[2,5,59],[3,4,63],[3,5,56],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(4,5)=29,(0,3)=30,(0,5)=30,(2,4)=55,(3,5)=56,(2,5)=59,(3,4)=63,(1,4)=68,(1,5)=78,(1,3)=81,(0,2)=84,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=29 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(3)=2, Add (0,3)=30 Succeeded, w=59\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(5)=4, Add (0,5)=30 Succeeded, w=89\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=89\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=56 Failed, w=89\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=59 Failed, w=89\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=63 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=68 Succeeded, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=90 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,24],[0,3,62],[0,4,84],[1,3,24],[1,4,5],[2,3,8],[3,4,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,62],[0,4,84],[1,3,24],[1,4,5],[2,3,8],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,62],[0,4,84],[1,3,24],[1,4,5],[2,3,8],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,62],[0,4,84],[1,3,24],[1,4,5],[2,3,8],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (2,3)=8, w=13\",\"Add (0,2)=24, w=37\",\"Add (1,3)=24, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,62],[0,4,84],[1,3,24],[1,4,5],[2,3,8],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (2,3)=8 Succeeded, w=13\",\"Add (0,2)=24 Succeeded, w=37\",\"Add (1,3)=24 Succeeded, w=61\",\"Add (3,4)=49 Failed, w=61\",\"Add (0,3)=62 Failed, w=61\",\"Add (0,4)=84 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,62],[0,4,84],[1,3,24],[1,4,5],[2,3,8],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(2,3)=8,(0,2)=24,(1,3)=24,(3,4)=49,(0,3)=62,(0,4)=84]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=13\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=37\",\"Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=61\",\"Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=61\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=61\",\"Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,24],[0,3,62],[0,4,84],[1,3,24],[1,4,5],[2,3,8],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(2,3)=8,(0,2)=24,(1,3)=24,(3,4)=49,(0,3)=62,(0,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1}, Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=61\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,3],[0,2,32],[0,3,63],[1,2,33],[1,3,73],[2,3,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[0,3,63],[1,2,33],[1,3,73],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[0,3,63],[1,2,33],[1,3,73],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[0,3,63],[1,2,33],[1,3,73],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,2)=32, w=35\",\"Add (0,3)=63, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[0,3,63],[1,2,33],[1,3,73],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,2)=32 Succeeded, w=35\",\"Add (1,2)=33 Failed, w=35\",\"Add (0,3)=63 Succeeded, w=98\",\"Add (1,3)=73 Failed, w=98\",\"Add (2,3)=98 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[0,3,63],[1,2,33],[1,3,73],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=32,(1,2)=33,(0,3)=63,(1,3)=73,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=35\",\"Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[0,3,63],[1,2,33],[1,3,73],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=32,(1,2)=33,(0,3)=63,(1,3)=73,(2,3)=98]\",\"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: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,59],[0,2,16],[0,3,44],[0,5,76],[0,6,37],[1,2,66],[1,3,82],[1,4,29],[1,5,26],[1,6,38],[2,3,13],[2,4,2],[2,5,62],[2,6,36],[3,5,74],[3,6,49],[4,5,87],[4,6,19],[5,6,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,16],[0,3,44],[0,5,76],[0,6,37],[1,2,66],[1,3,82],[1,4,29],[1,5,26],[1,6,38],[2,3,13],[2,4,2],[2,5,62],[2,6,36],[3,5,74],[3,6,49],[4,5,87],[4,6,19],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,16],[0,3,44],[0,5,76],[0,6,37],[1,2,66],[1,3,82],[1,4,29],[1,5,26],[1,6,38],[2,3,13],[2,4,2],[2,5,62],[2,6,36],[3,5,74],[3,6,49],[4,5,87],[4,6,19],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (1,5)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,16],[0,3,44],[0,5,76],[0,6,37],[1,2,66],[1,3,82],[1,4,29],[1,5,26],[1,6,38],[2,3,13],[2,4,2],[2,5,62],[2,6,36],[3,5,74],[3,6,49],[4,5,87],[4,6,19],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (2,4)=2, w=2\",\"Add (2,3)=13, w=15\",\"Add (0,2)=16, w=31\",\"Add (4,6)=19, w=50\",\"Add (1,5)=26, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,16],[0,3,44],[0,5,76],[0,6,37],[1,2,66],[1,3,82],[1,4,29],[1,5,26],[1,6,38],[2,3,13],[2,4,2],[2,5,62],[2,6,36],[3,5,74],[3,6,49],[4,5,87],[4,6,19],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (2,4)=2 Succeeded, w=2\",\"Add (2,3)=13 Succeeded, w=15\",\"Add (0,2)=16 Succeeded, w=31\",\"Add (4,6)=19 Succeeded, w=50\",\"Add (1,5)=26 Succeeded, w=76\",\"Add (1,4)=29 Failed, w=76\",\"Add (2,6)=36 Failed, w=76\",\"Add (0,6)=37 Failed, w=76\",\"Add (1,6)=38 Failed, w=76\",\"Add (0,3)=44 Failed, w=76\",\"Add (3,6)=49 Failed, w=76\",\"Add (0,1)=59 Failed, w=76\",\"Add (2,5)=62 Failed, w=76\",\"Add (1,2)=66 Failed, w=76\",\"Add (3,5)=74 Failed, w=76\",\"Add (0,5)=76 Failed, w=76\",\"Add (1,3)=82 Failed, w=76\",\"Add (4,5)=87 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,16],[0,3,44],[0,5,76],[0,6,37],[1,2,66],[1,3,82],[1,4,29],[1,5,26],[1,6,38],[2,3,13],[2,4,2],[2,5,62],[2,6,36],[3,5,74],[3,6,49],[4,5,87],[4,6,19],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(2,4)=2,(2,3)=13,(0,2)=16,(4,6)=19,(1,5)=26,(1,4)=29,(2,6)=36,(0,6)=37,(1,6)=38,(0,3)=44,(3,6)=49,(0,1)=59,(2,5)=62,(1,2)=66,(3,5)=74,(0,5)=76,(1,3)=82,(4,5)=87]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=31\",\"Find(4)=2, Find(6)=5, Add (4,6)=19 Succeeded, w=50\",\"Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=76\",\"Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=76\",\"Find(2)=2, Find(6)=2, Add (2,6)=36 Failed, w=76\",\"Find(0)=2, Find(6)=2, Add (0,6)=37 Failed, w=76\",\"Find(1)=2, Find(6)=2, Add (1,6)=38 Failed, w=76\",\"Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=76\",\"Find(3)=2, Find(6)=2, Add (3,6)=49 Failed, w=76\",\"Find(0)=2, Find(1)=2, Add (0,1)=59 Failed, w=76\",\"Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=76\",\"Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=76\",\"Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=76\",\"Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=76\",\"Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=76\",\"Find(4)=2, Find(5)=2, Add (4,5)=87 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,16],[0,3,44],[0,5,76],[0,6,37],[1,2,66],[1,3,82],[1,4,29],[1,5,26],[1,6,38],[2,3,13],[2,4,2],[2,5,62],[2,6,36],[3,5,74],[3,6,49],[4,5,87],[4,6,19],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(2,4)=2,(2,3)=13,(0,2)=16,(4,6)=19,(1,5)=26,(1,4)=29,(2,6)=36,(0,6)=37,(1,6)=38,(0,3)=44,(3,6)=49,(0,1)=59,(2,5)=62,(1,2)=66,(3,5)=74,(0,5)=76,(1,3)=82,(4,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 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, 6: 5}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(4)=2, Find(6)=5, Add (4,6)=19 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=36 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=37 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=38 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=49 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=59 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=87 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,30],[0,2,26],[0,3,28],[0,4,8],[1,2,29],[1,3,51],[1,4,97],[2,3,48],[2,4,37],[3,4,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,26],[0,3,28],[0,4,8],[1,2,29],[1,3,51],[1,4,97],[2,3,48],[2,4,37],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,26],[0,3,28],[0,4,8],[1,2,29],[1,3,51],[1,4,97],[2,3,48],[2,4,37],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,26],[0,3,28],[0,4,8],[1,2,29],[1,3,51],[1,4,97],[2,3,48],[2,4,37],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (0,4)=8, w=12\",\"Add (0,2)=26, w=38\",\"Add (1,2)=29, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,26],[0,3,28],[0,4,8],[1,2,29],[1,3,51],[1,4,97],[2,3,48],[2,4,37],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (0,4)=8 Succeeded, w=12\",\"Add (0,2)=26 Succeeded, w=38\",\"Add (0,3)=28 Failed, w=38\",\"Add (1,2)=29 Succeeded, w=67\",\"Add (0,1)=30 Failed, w=67\",\"Add (2,4)=37 Failed, w=67\",\"Add (2,3)=48 Failed, w=67\",\"Add (1,3)=51 Failed, w=67\",\"Add (1,4)=97 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,26],[0,3,28],[0,4,8],[1,2,29],[1,3,51],[1,4,97],[2,3,48],[2,4,37],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,4)=8,(0,2)=26,(0,3)=28,(1,2)=29,(0,1)=30,(2,4)=37,(2,3)=48,(1,3)=51,(1,4)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=3, Add (0,4)=8 Succeeded, w=12\",\"Find(0)=3, Find(2)=2, Add (0,2)=26 Succeeded, w=38\",\"Find(0)=3, Find(3)=3, Add (0,3)=28 Failed, w=38\",\"Find(1)=1, Find(2)=3, Add (1,2)=29 Succeeded, w=67\",\"Find(0)=3, Find(1)=3, Add (0,1)=30 Failed, w=67\",\"Find(2)=3, Find(4)=3, Add (2,4)=37 Failed, w=67\",\"Find(2)=3, Find(3)=3, Add (2,3)=48 Failed, w=67\",\"Find(1)=3, Find(3)=3, Add (1,3)=51 Failed, w=67\",\"Find(1)=3, Find(4)=3, Add (1,4)=97 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,26],[0,3,28],[0,4,8],[1,2,29],[1,3,51],[1,4,97],[2,3,48],[2,4,37],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,4)=8,(0,2)=26,(0,3)=28,(1,2)=29,(0,1)=30,(2,4)=37,(2,3)=48,(1,3)=51,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=8 Succeeded, w=12\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=2, Add (0,2)=26 Succeeded, w=38\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=28 Failed, w=38\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(2)=3, Add (1,2)=29 Succeeded, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=30 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=37 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=48 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=51 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=97 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,15],[0,2,48],[0,3,62],[0,4,45],[0,5,83],[0,6,49],[0,7,6],[1,2,77],[1,3,82],[1,4,41],[1,5,61],[1,6,91],[1,7,12],[2,3,85],[2,4,86],[2,5,87],[2,6,100],[2,7,44],[3,5,9],[3,6,70],[3,7,70],[4,5,44],[4,6,70],[4,7,3],[5,6,64],[5,7,11],[6,7,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,48],[0,3,62],[0,4,45],[0,5,83],[0,6,49],[0,7,6],[1,2,77],[1,3,82],[1,4,41],[1,5,61],[1,6,91],[1,7,12],[2,3,85],[2,4,86],[2,5,87],[2,6,100],[2,7,44],[3,5,9],[3,6,70],[3,7,70],[4,5,44],[4,6,70],[4,7,3],[5,6,64],[5,7,11],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,48],[0,3,62],[0,4,45],[0,5,83],[0,6,49],[0,7,6],[1,2,77],[1,3,82],[1,4,41],[1,5,61],[1,6,91],[1,7,12],[2,3,85],[2,4,86],[2,5,87],[2,6,100],[2,7,44],[3,5,9],[3,6,70],[3,7,70],[4,5,44],[4,6,70],[4,7,3],[5,6,64],[5,7,11],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (0,7)\",\"Add (3,5)\",\"Add (5,7)\",\"Add (1,7)\",\"Add (2,7)\",\"Add (0,6)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,48],[0,3,62],[0,4,45],[0,5,83],[0,6,49],[0,7,6],[1,2,77],[1,3,82],[1,4,41],[1,5,61],[1,6,91],[1,7,12],[2,3,85],[2,4,86],[2,5,87],[2,6,100],[2,7,44],[3,5,9],[3,6,70],[3,7,70],[4,5,44],[4,6,70],[4,7,3],[5,6,64],[5,7,11],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3, w=3\",\"Add (0,7)=6, w=9\",\"Add (3,5)=9, w=18\",\"Add (5,7)=11, w=29\",\"Add (1,7)=12, w=41\",\"Add (2,7)=44, w=85\",\"Add (0,6)=49, 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\":[[0,1,15],[0,2,48],[0,3,62],[0,4,45],[0,5,83],[0,6,49],[0,7,6],[1,2,77],[1,3,82],[1,4,41],[1,5,61],[1,6,91],[1,7,12],[2,3,85],[2,4,86],[2,5,87],[2,6,100],[2,7,44],[3,5,9],[3,6,70],[3,7,70],[4,5,44],[4,6,70],[4,7,3],[5,6,64],[5,7,11],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3 Succeeded, w=3\",\"Add (0,7)=6 Succeeded, w=9\",\"Add (3,5)=9 Succeeded, w=18\",\"Add (5,7)=11 Succeeded, w=29\",\"Add (1,7)=12 Succeeded, w=41\",\"Add (0,1)=15 Failed, w=41\",\"Add (1,4)=41 Failed, w=41\",\"Add (2,7)=44 Succeeded, w=85\",\"Add (4,5)=44 Failed, w=85\",\"Add (0,4)=45 Failed, w=85\",\"Add (0,2)=48 Failed, w=85\",\"Add (0,6)=49 Succeeded, w=134\",\"Add (6,7)=51 Failed, w=134\",\"Add (1,5)=61 Failed, w=134\",\"Add (0,3)=62 Failed, w=134\",\"Add (5,6)=64 Failed, w=134\",\"Add (3,6)=70 Failed, w=134\",\"Add (3,7)=70 Failed, w=134\",\"Add (4,6)=70 Failed, w=134\",\"Add (1,2)=77 Failed, w=134\",\"Add (1,3)=82 Failed, w=134\",\"Add (0,5)=83 Failed, w=134\",\"Add (2,3)=85 Failed, w=134\",\"Add (2,4)=86 Failed, w=134\",\"Add (2,5)=87 Failed, w=134\",\"Add (1,6)=91 Failed, w=134\",\"Add (2,6)=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\":[[0,1,15],[0,2,48],[0,3,62],[0,4,45],[0,5,83],[0,6,49],[0,7,6],[1,2,77],[1,3,82],[1,4,41],[1,5,61],[1,6,91],[1,7,12],[2,3,85],[2,4,86],[2,5,87],[2,6,100],[2,7,44],[3,5,9],[3,6,70],[3,7,70],[4,5,44],[4,6,70],[4,7,3],[5,6,64],[5,7,11],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(0,7)=6,(3,5)=9,(5,7)=11,(1,7)=12,(0,1)=15,(1,4)=41,(2,7)=44,(4,5)=44,(0,4)=45,(0,2)=48,(0,6)=49,(6,7)=51,(1,5)=61,(0,3)=62,(5,6)=64,(3,6)=70,(3,7)=70,(4,6)=70,(1,2)=77,(1,3)=82,(0,5)=83,(2,3)=85,(2,4)=86,(2,5)=87,(1,6)=91,(2,6)=100]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Find(0)=0, Find(7)=4, Add (0,7)=6 Succeeded, w=9\",\"Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=18\",\"Find(5)=3, Find(7)=4, Add (5,7)=11 Succeeded, w=29\",\"Find(1)=1, Find(7)=3, Add (1,7)=12 Succeeded, w=41\",\"Find(0)=3, Find(1)=3, Add (0,1)=15 Failed, w=41\",\"Find(1)=3, Find(4)=3, Add (1,4)=41 Failed, w=41\",\"Find(2)=2, Find(7)=3, Add (2,7)=44 Succeeded, w=85\",\"Find(4)=3, Find(5)=3, Add (4,5)=44 Failed, w=85\",\"Find(0)=3, Find(4)=3, Add (0,4)=45 Failed, w=85\",\"Find(0)=3, Find(2)=3, Add (0,2)=48 Failed, w=85\",\"Find(0)=3, Find(6)=6, Add (0,6)=49 Succeeded, w=134\",\"Find(6)=3, Find(7)=3, Add (6,7)=51 Failed, w=134\",\"Find(1)=3, Find(5)=3, Add (1,5)=61 Failed, w=134\",\"Find(0)=3, Find(3)=3, Add (0,3)=62 Failed, w=134\",\"Find(5)=3, Find(6)=3, Add (5,6)=64 Failed, w=134\",\"Find(3)=3, Find(6)=3, Add (3,6)=70 Failed, w=134\",\"Find(3)=3, Find(7)=3, Add (3,7)=70 Failed, w=134\",\"Find(4)=3, Find(6)=3, Add (4,6)=70 Failed, w=134\",\"Find(1)=3, Find(2)=3, Add (1,2)=77 Failed, w=134\",\"Find(1)=3, Find(3)=3, Add (1,3)=82 Failed, w=134\",\"Find(0)=3, Find(5)=3, Add (0,5)=83 Failed, w=134\",\"Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=134\",\"Find(2)=3, Find(4)=3, Add (2,4)=86 Failed, w=134\",\"Find(2)=3, Find(5)=3, Add (2,5)=87 Failed, w=134\",\"Find(1)=3, Find(6)=3, Add (1,6)=91 Failed, w=134\",\"Find(2)=3, Find(6)=3, Add (2,6)=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\":[[0,1,15],[0,2,48],[0,3,62],[0,4,45],[0,5,83],[0,6,49],[0,7,6],[1,2,77],[1,3,82],[1,4,41],[1,5,61],[1,6,91],[1,7,12],[2,3,85],[2,4,86],[2,5,87],[2,6,100],[2,7,44],[3,5,9],[3,6,70],[3,7,70],[4,5,44],[4,6,70],[4,7,3],[5,6,64],[5,7,11],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(0,7)=6,(3,5)=9,(5,7)=11,(1,7)=12,(0,1)=15,(1,4)=41,(2,7)=44,(4,5)=44,(0,4)=45,(0,2)=48,(0,6)=49,(6,7)=51,(1,5)=61,(0,3)=62,(5,6)=64,(3,6)=70,(3,7)=70,(4,6)=70,(1,2)=77,(1,3)=82,(0,5)=83,(2,3)=85,(2,4)=86,(2,5)=87,(1,6)=91,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=6 Succeeded, w=9\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 4}, Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=18\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 4}, Find(5)=3, Find(7)=4, Add (5,7)=11 Succeeded, w=29\",\"Parent: {0: 4, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=12 Succeeded, w=41\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=15 Failed, w=41\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=41 Failed, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=44 Succeeded, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=44 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=45 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=48 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=6, Add (0,6)=49 Succeeded, w=134\",\"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)=51 Failed, w=134\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=61 Failed, w=134\",\"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)=62 Failed, w=134\",\"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)=64 Failed, w=134\",\"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)=70 Failed, w=134\",\"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)=70 Failed, w=134\",\"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)=70 Failed, w=134\",\"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)=77 Failed, w=134\",\"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)=82 Failed, w=134\",\"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)=83 Failed, w=134\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=134\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=86 Failed, w=134\",\"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)=87 Failed, w=134\",\"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)=91 Failed, w=134\",\"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)=100 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,93],[0,2,68],[1,2,27],[1,3,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,68],[1,2,27],[1,3,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,68],[1,2,27],[1,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,68],[1,2,27],[1,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27, w=27\",\"Add (1,3)=30, w=57\",\"Add (0,2)=68, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,68],[1,2,27],[1,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27 Succeeded, w=27\",\"Add (1,3)=30 Succeeded, w=57\",\"Add (0,2)=68 Succeeded, w=125\",\"Add (0,1)=93 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,68],[1,2,27],[1,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(1,3)=30,(0,2)=68,(0,1)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=57\",\"Find(0)=0, Find(2)=1, Add (0,2)=68 Succeeded, w=125\",\"Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,68],[1,2,27],[1,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(1,3)=30,(0,2)=68,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=68 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,2,61],[0,5,6],[1,2,96],[1,3,22],[1,4,67],[1,5,7],[2,3,18],[2,4,77],[3,4,40],[3,5,7],[4,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,61],[0,5,6],[1,2,96],[1,3,22],[1,4,67],[1,5,7],[2,3,18],[2,4,77],[3,4,40],[3,5,7],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,61],[0,5,6],[1,2,96],[1,3,22],[1,4,67],[1,5,7],[2,3,18],[2,4,77],[3,4,40],[3,5,7],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,61],[0,5,6],[1,2,96],[1,3,22],[1,4,67],[1,5,7],[2,3,18],[2,4,77],[3,4,40],[3,5,7],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (0,5)=6, w=12\",\"Add (3,5)=7, w=19\",\"Add (2,3)=18, w=37\",\"Add (3,4)=40, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,61],[0,5,6],[1,2,96],[1,3,22],[1,4,67],[1,5,7],[2,3,18],[2,4,77],[3,4,40],[3,5,7],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (0,5)=6 Succeeded, w=12\",\"Add (1,5)=7 Failed, w=12\",\"Add (3,5)=7 Succeeded, w=19\",\"Add (2,3)=18 Succeeded, w=37\",\"Add (1,3)=22 Failed, w=37\",\"Add (3,4)=40 Succeeded, w=77\",\"Add (0,2)=61 Failed, w=77\",\"Add (1,4)=67 Failed, w=77\",\"Add (4,5)=76 Failed, w=77\",\"Add (2,4)=77 Failed, w=77\",\"Add (1,2)=96 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,61],[0,5,6],[1,2,96],[1,3,22],[1,4,67],[1,5,7],[2,3,18],[2,4,77],[3,4,40],[3,5,7],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,5)=6,(1,5)=7,(3,5)=7,(2,3)=18,(1,3)=22,(3,4)=40,(0,2)=61,(1,4)=67,(4,5)=76,(2,4)=77,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=12\",\"Find(1)=0, Find(5)=0, Add (1,5)=7 Failed, w=12\",\"Find(3)=3, Find(5)=0, Add (3,5)=7 Succeeded, w=19\",\"Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=37\",\"Find(1)=0, Find(3)=0, Add (1,3)=22 Failed, w=37\",\"Find(3)=0, Find(4)=4, Add (3,4)=40 Succeeded, w=77\",\"Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=77\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=77\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=77\",\"Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=77\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,61],[0,5,6],[1,2,96],[1,3,22],[1,4,67],[1,5,7],[2,3,18],[2,4,77],[3,4,40],[3,5,7],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,5)=6,(1,5)=7,(3,5)=7,(2,3)=18,(1,3)=22,(3,4)=40,(0,2)=61,(1,4)=67,(4,5)=76,(2,4)=77,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=7 Failed, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=7 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=22 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=40 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,23],[0,2,59],[0,3,90],[1,3,12],[2,3,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,59],[0,3,90],[1,3,12],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,59],[0,3,90],[1,3,12],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,59],[0,3,90],[1,3,12],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (2,3)=22, w=34\",\"Add (0,1)=23, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,59],[0,3,90],[1,3,12],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (2,3)=22 Succeeded, w=34\",\"Add (0,1)=23 Succeeded, w=57\",\"Add (0,2)=59 Failed, w=57\",\"Add (0,3)=90 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,59],[0,3,90],[1,3,12],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(2,3)=22,(0,1)=23,(0,2)=59,(0,3)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(2)=2, Find(3)=1, Add (2,3)=22 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=57\",\"Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=57\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,59],[0,3,90],[1,3,12],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(2,3)=22,(0,1)=23,(0,2)=59,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=22 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,84],[0,2,38],[0,3,46],[0,4,48],[0,5,17],[1,2,40],[1,3,26],[1,4,47],[1,5,49],[2,3,94],[2,4,47],[2,5,89],[3,4,59],[4,5,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,38],[0,3,46],[0,4,48],[0,5,17],[1,2,40],[1,3,26],[1,4,47],[1,5,49],[2,3,94],[2,4,47],[2,5,89],[3,4,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,38],[0,3,46],[0,4,48],[0,5,17],[1,2,40],[1,3,26],[1,4,47],[1,5,49],[2,3,94],[2,4,47],[2,5,89],[3,4,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,38],[0,3,46],[0,4,48],[0,5,17],[1,2,40],[1,3,26],[1,4,47],[1,5,49],[2,3,94],[2,4,47],[2,5,89],[3,4,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=17, w=17\",\"Add (1,3)=26, w=43\",\"Add (0,2)=38, w=81\",\"Add (1,2)=40, w=121\",\"Add (1,4)=47, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,38],[0,3,46],[0,4,48],[0,5,17],[1,2,40],[1,3,26],[1,4,47],[1,5,49],[2,3,94],[2,4,47],[2,5,89],[3,4,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=17 Succeeded, w=17\",\"Add (1,3)=26 Succeeded, w=43\",\"Add (0,2)=38 Succeeded, w=81\",\"Add (1,2)=40 Succeeded, w=121\",\"Add (0,3)=46 Failed, w=121\",\"Add (1,4)=47 Succeeded, w=168\",\"Add (2,4)=47 Failed, w=168\",\"Add (0,4)=48 Failed, w=168\",\"Add (1,5)=49 Failed, w=168\",\"Add (3,4)=59 Failed, w=168\",\"Add (0,1)=84 Failed, w=168\",\"Add (2,5)=89 Failed, w=168\",\"Add (4,5)=89 Failed, w=168\",\"Add (2,3)=94 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,38],[0,3,46],[0,4,48],[0,5,17],[1,2,40],[1,3,26],[1,4,47],[1,5,49],[2,3,94],[2,4,47],[2,5,89],[3,4,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=17,(1,3)=26,(0,2)=38,(1,2)=40,(0,3)=46,(1,4)=47,(2,4)=47,(0,4)=48,(1,5)=49,(3,4)=59,(0,1)=84,(2,5)=89,(4,5)=89,(2,3)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=43\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=81\",\"Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=121\",\"Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=121\",\"Find(1)=1, Find(4)=4, Add (1,4)=47 Succeeded, w=168\",\"Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=168\",\"Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=168\",\"Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=168\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=168\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=168\",\"Find(2)=1, Find(5)=1, Add (2,5)=89 Failed, w=168\",\"Find(4)=1, Find(5)=1, Add (4,5)=89 Failed, w=168\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,38],[0,3,46],[0,4,48],[0,5,17],[1,2,40],[1,3,26],[1,4,47],[1,5,49],[2,3,94],[2,4,47],[2,5,89],[3,4,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=17,(1,3)=26,(0,2)=38,(1,2)=40,(0,3)=46,(1,4)=47,(2,4)=47,(0,4)=48,(1,5)=49,(3,4)=59,(0,1)=84,(2,5)=89,(4,5)=89,(2,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0}, Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=47 Succeeded, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=89 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=89 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,32],[0,3,81],[0,4,77],[1,5,39],[2,4,39],[3,4,82],[3,5,99],[4,5,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,3,81],[0,4,77],[1,5,39],[2,4,39],[3,4,82],[3,5,99],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,3,81],[0,4,77],[1,5,39],[2,4,39],[3,4,82],[3,5,99],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,3,81],[0,4,77],[1,5,39],[2,4,39],[3,4,82],[3,5,99],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=13, w=13\",\"Add (0,1)=32, w=45\",\"Add (1,5)=39, w=84\",\"Add (2,4)=39, w=123\",\"Add (0,3)=81, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,3,81],[0,4,77],[1,5,39],[2,4,39],[3,4,82],[3,5,99],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=13 Succeeded, w=13\",\"Add (0,1)=32 Succeeded, w=45\",\"Add (1,5)=39 Succeeded, w=84\",\"Add (2,4)=39 Succeeded, w=123\",\"Add (0,4)=77 Failed, w=123\",\"Add (0,3)=81 Succeeded, w=204\",\"Add (3,4)=82 Failed, w=204\",\"Add (3,5)=99 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,3,81],[0,4,77],[1,5,39],[2,4,39],[3,4,82],[3,5,99],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=13,(0,1)=32,(1,5)=39,(2,4)=39,(0,4)=77,(0,3)=81,(3,4)=82,(3,5)=99]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=45\",\"Find(1)=0, Find(5)=4, Add (1,5)=39 Succeeded, w=84\",\"Find(2)=2, Find(4)=0, Add (2,4)=39 Succeeded, w=123\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=123\",\"Find(0)=0, Find(3)=3, Add (0,3)=81 Succeeded, w=204\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=204\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,3,81],[0,4,77],[1,5,39],[2,4,39],[3,4,82],[3,5,99],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=13,(0,1)=32,(1,5)=39,(2,4)=39,(0,4)=77,(0,3)=81,(3,4)=82,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4}, Find(1)=0, Find(5)=4, Add (1,5)=39 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4}, Find(2)=2, Find(4)=0, Add (2,4)=39 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(3)=3, Add (0,3)=81 Succeeded, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,90],[0,2,40],[0,3,91],[1,3,56],[2,3,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,40],[0,3,91],[1,3,56],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,40],[0,3,91],[1,3,56],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,40],[0,3,91],[1,3,56],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=40, w=40\",\"Add (2,3)=47, w=87\",\"Add (1,3)=56, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,40],[0,3,91],[1,3,56],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=40 Succeeded, w=40\",\"Add (2,3)=47 Succeeded, w=87\",\"Add (1,3)=56 Succeeded, w=143\",\"Add (0,1)=90 Failed, w=143\",\"Add (0,3)=91 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,40],[0,3,91],[1,3,56],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=40,(2,3)=47,(1,3)=56,(0,1)=90,(0,3)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=40\",\"Find(2)=0, Find(3)=3, Add (2,3)=47 Succeeded, w=87\",\"Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=143\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=143\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,40],[0,3,91],[1,3,56],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=40,(2,3)=47,(1,3)=56,(0,1)=90,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=47 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,36],[0,3,68],[0,5,97],[0,6,20],[0,7,20],[1,3,92],[1,6,81],[1,7,72],[2,3,14],[2,4,86],[2,5,19],[2,6,12],[3,5,74],[4,5,30],[4,6,54],[4,7,66],[5,6,26],[5,7,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,68],[0,5,97],[0,6,20],[0,7,20],[1,3,92],[1,6,81],[1,7,72],[2,3,14],[2,4,86],[2,5,19],[2,6,12],[3,5,74],[4,5,30],[4,6,54],[4,7,66],[5,6,26],[5,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,68],[0,5,97],[0,6,20],[0,7,20],[1,3,92],[1,6,81],[1,7,72],[2,3,14],[2,4,86],[2,5,19],[2,6,12],[3,5,74],[4,5,30],[4,6,54],[4,7,66],[5,6,26],[5,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (1,7)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,68],[0,5,97],[0,6,20],[0,7,20],[1,3,92],[1,6,81],[1,7,72],[2,3,14],[2,4,86],[2,5,19],[2,6,12],[3,5,74],[4,5,30],[4,6,54],[4,7,66],[5,6,26],[5,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=12, w=12\",\"Add (2,3)=14, w=26\",\"Add (2,5)=19, w=45\",\"Add (0,6)=20, w=65\",\"Add (0,7)=20, w=85\",\"Add (4,5)=30, w=115\",\"Add (1,7)=72, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,68],[0,5,97],[0,6,20],[0,7,20],[1,3,92],[1,6,81],[1,7,72],[2,3,14],[2,4,86],[2,5,19],[2,6,12],[3,5,74],[4,5,30],[4,6,54],[4,7,66],[5,6,26],[5,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=12 Succeeded, w=12\",\"Add (2,3)=14 Succeeded, w=26\",\"Add (2,5)=19 Succeeded, w=45\",\"Add (0,6)=20 Succeeded, w=65\",\"Add (0,7)=20 Succeeded, w=85\",\"Add (5,6)=26 Failed, w=85\",\"Add (4,5)=30 Succeeded, w=115\",\"Add (0,2)=36 Failed, w=115\",\"Add (4,6)=54 Failed, w=115\",\"Add (4,7)=66 Failed, w=115\",\"Add (0,3)=68 Failed, w=115\",\"Add (1,7)=72 Succeeded, w=187\",\"Add (3,5)=74 Failed, w=187\",\"Add (1,6)=81 Failed, w=187\",\"Add (2,4)=86 Failed, w=187\",\"Add (5,7)=89 Failed, w=187\",\"Add (1,3)=92 Failed, w=187\",\"Add (0,5)=97 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,68],[0,5,97],[0,6,20],[0,7,20],[1,3,92],[1,6,81],[1,7,72],[2,3,14],[2,4,86],[2,5,19],[2,6,12],[3,5,74],[4,5,30],[4,6,54],[4,7,66],[5,6,26],[5,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=12,(2,3)=14,(2,5)=19,(0,6)=20,(0,7)=20,(5,6)=26,(4,5)=30,(0,2)=36,(4,6)=54,(4,7)=66,(0,3)=68,(1,7)=72,(3,5)=74,(1,6)=81,(2,4)=86,(5,7)=89,(1,3)=92,(0,5)=97]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=12\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=26\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=45\",\"Find(0)=0, Find(6)=2, Add (0,6)=20 Succeeded, w=65\",\"Find(0)=2, Find(7)=7, Add (0,7)=20 Succeeded, w=85\",\"Find(5)=2, Find(6)=2, Add (5,6)=26 Failed, w=85\",\"Find(4)=4, Find(5)=2, Add (4,5)=30 Succeeded, w=115\",\"Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=115\",\"Find(4)=2, Find(6)=2, Add (4,6)=54 Failed, w=115\",\"Find(4)=2, Find(7)=2, Add (4,7)=66 Failed, w=115\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=115\",\"Find(1)=1, Find(7)=2, Add (1,7)=72 Succeeded, w=187\",\"Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=187\",\"Find(1)=2, Find(6)=2, Add (1,6)=81 Failed, w=187\",\"Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=187\",\"Find(5)=2, Find(7)=2, Add (5,7)=89 Failed, w=187\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=187\",\"Find(0)=2, Find(5)=2, Add (0,5)=97 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,68],[0,5,97],[0,6,20],[0,7,20],[1,3,92],[1,6,81],[1,7,72],[2,3,14],[2,4,86],[2,5,19],[2,6,12],[3,5,74],[4,5,30],[4,6,54],[4,7,66],[5,6,26],[5,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=12,(2,3)=14,(2,5)=19,(0,6)=20,(0,7)=20,(5,6)=26,(4,5)=30,(0,2)=36,(4,6)=54,(4,7)=66,(0,3)=68,(1,7)=72,(3,5)=74,(1,6)=81,(2,4)=86,(5,7)=89,(1,3)=92,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 7}, Find(0)=0, Find(6)=2, Add (0,6)=20 Succeeded, w=65\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=7, Add (0,7)=20 Succeeded, w=85\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=26 Failed, w=85\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=4, Find(5)=2, Add (4,5)=30 Succeeded, w=115\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=115\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=54 Failed, w=115\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=66 Failed, w=115\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=72 Succeeded, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=187\",\"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=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=86 Failed, w=187\",\"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)=89 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=97 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,92],[0,2,23],[0,3,35],[1,3,47],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,23],[0,3,35],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,23],[0,3,35],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,23],[0,3,35],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21, w=21\",\"Add (0,2)=23, w=44\",\"Add (1,3)=47, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,23],[0,3,35],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21 Succeeded, w=21\",\"Add (0,2)=23 Succeeded, w=44\",\"Add (0,3)=35 Failed, w=44\",\"Add (1,3)=47 Succeeded, w=91\",\"Add (0,1)=92 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,23],[0,3,35],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,2)=23,(0,3)=35,(1,3)=47,(0,1)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=44\",\"Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=44\",\"Find(1)=1, Find(3)=2, Add (1,3)=47 Succeeded, w=91\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,23],[0,3,35],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,2)=23,(0,3)=35,(1,3)=47,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=44\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=47 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,33],[0,4,59],[1,2,12],[1,5,95],[2,5,84],[2,6,46],[3,4,43],[3,5,75],[3,6,72],[4,5,23],[5,6,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,33],[0,4,59],[1,2,12],[1,5,95],[2,5,84],[2,6,46],[3,4,43],[3,5,75],[3,6,72],[4,5,23],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,33],[0,4,59],[1,2,12],[1,5,95],[2,5,84],[2,6,46],[3,4,43],[3,5,75],[3,6,72],[4,5,23],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (2,6)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,33],[0,4,59],[1,2,12],[1,5,95],[2,5,84],[2,6,46],[3,4,43],[3,5,75],[3,6,72],[4,5,23],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (4,5)=23, w=35\",\"Add (5,6)=28, w=63\",\"Add (0,3)=33, w=96\",\"Add (3,4)=43, w=139\",\"Add (2,6)=46, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,33],[0,4,59],[1,2,12],[1,5,95],[2,5,84],[2,6,46],[3,4,43],[3,5,75],[3,6,72],[4,5,23],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (4,5)=23 Succeeded, w=35\",\"Add (5,6)=28 Succeeded, w=63\",\"Add (0,3)=33 Succeeded, w=96\",\"Add (3,4)=43 Succeeded, w=139\",\"Add (2,6)=46 Succeeded, w=185\",\"Add (0,4)=59 Failed, w=185\",\"Add (3,6)=72 Failed, w=185\",\"Add (3,5)=75 Failed, w=185\",\"Add (2,5)=84 Failed, w=185\",\"Add (1,5)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,33],[0,4,59],[1,2,12],[1,5,95],[2,5,84],[2,6,46],[3,4,43],[3,5,75],[3,6,72],[4,5,23],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(4,5)=23,(5,6)=28,(0,3)=33,(3,4)=43,(2,6)=46,(0,4)=59,(3,6)=72,(3,5)=75,(2,5)=84,(1,5)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=35\",\"Find(5)=4, Find(6)=6, Add (5,6)=28 Succeeded, w=63\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=96\",\"Find(3)=0, Find(4)=4, Add (3,4)=43 Succeeded, w=139\",\"Find(2)=1, Find(6)=0, Add (2,6)=46 Succeeded, w=185\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=185\",\"Find(3)=0, Find(6)=0, Add (3,6)=72 Failed, w=185\",\"Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=185\",\"Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=185\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,33],[0,4,59],[1,2,12],[1,5,95],[2,5,84],[2,6,46],[3,4,43],[3,5,75],[3,6,72],[4,5,23],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(4,5)=23,(5,6)=28,(0,3)=33,(3,4)=43,(2,6)=46,(0,4)=59,(3,6)=72,(3,5)=75,(2,5)=84,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=6, Add (5,6)=28 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=96\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 4, 6: 4}, Find(3)=0, Find(4)=4, Add (3,4)=43 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 4, 6: 0}, Find(2)=1, Find(6)=0, Add (2,6)=46 Succeeded, w=185\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=72 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,81],[0,2,26],[1,2,61],[1,3,90],[2,3,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,2,61],[1,3,90],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,2,61],[1,3,90],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,2,61],[1,3,90],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26, w=26\",\"Add (1,2)=61, w=87\",\"Add (2,3)=86, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,2,61],[1,3,90],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26 Succeeded, w=26\",\"Add (1,2)=61 Succeeded, w=87\",\"Add (0,1)=81 Failed, w=87\",\"Add (2,3)=86 Succeeded, w=173\",\"Add (1,3)=90 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,2,61],[1,3,90],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(1,2)=61,(0,1)=81,(2,3)=86,(1,3)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Find(1)=1, Find(2)=0, Add (1,2)=61 Succeeded, w=87\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=87\",\"Find(2)=0, Find(3)=3, Add (2,3)=86 Succeeded, w=173\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,2,61],[1,3,90],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(1,2)=61,(0,1)=81,(2,3)=86,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=61 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=86 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,73],[0,4,55],[0,5,98],[0,6,77],[1,3,25],[1,4,20],[1,5,17],[2,3,97],[2,6,83],[3,4,5],[3,6,86],[4,6,85],[5,6,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,4,55],[0,5,98],[0,6,77],[1,3,25],[1,4,20],[1,5,17],[2,3,97],[2,6,83],[3,4,5],[3,6,86],[4,6,85],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,4,55],[0,5,98],[0,6,77],[1,3,25],[1,4,20],[1,5,17],[2,3,97],[2,6,83],[3,4,5],[3,6,86],[4,6,85],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (5,6)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,6)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,4,55],[0,5,98],[0,6,77],[1,3,25],[1,4,20],[1,5,17],[2,3,97],[2,6,83],[3,4,5],[3,6,86],[4,6,85],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (5,6)=9, w=14\",\"Add (1,5)=17, w=31\",\"Add (1,4)=20, w=51\",\"Add (0,4)=55, w=106\",\"Add (2,6)=83, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,4,55],[0,5,98],[0,6,77],[1,3,25],[1,4,20],[1,5,17],[2,3,97],[2,6,83],[3,4,5],[3,6,86],[4,6,85],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (5,6)=9 Succeeded, w=14\",\"Add (1,5)=17 Succeeded, w=31\",\"Add (1,4)=20 Succeeded, w=51\",\"Add (1,3)=25 Failed, w=51\",\"Add (0,4)=55 Succeeded, w=106\",\"Add (0,1)=73 Failed, w=106\",\"Add (0,6)=77 Failed, w=106\",\"Add (2,6)=83 Succeeded, w=189\",\"Add (4,6)=85 Failed, w=189\",\"Add (3,6)=86 Failed, w=189\",\"Add (2,3)=97 Failed, w=189\",\"Add (0,5)=98 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,4,55],[0,5,98],[0,6,77],[1,3,25],[1,4,20],[1,5,17],[2,3,97],[2,6,83],[3,4,5],[3,6,86],[4,6,85],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(5,6)=9,(1,5)=17,(1,4)=20,(1,3)=25,(0,4)=55,(0,1)=73,(0,6)=77,(2,6)=83,(4,6)=85,(3,6)=86,(2,3)=97,(0,5)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=14\",\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=31\",\"Find(1)=5, Find(4)=3, Add (1,4)=20 Succeeded, w=51\",\"Find(1)=5, Find(3)=5, Add (1,3)=25 Failed, w=51\",\"Find(0)=0, Find(4)=5, Add (0,4)=55 Succeeded, w=106\",\"Find(0)=5, Find(1)=5, Add (0,1)=73 Failed, w=106\",\"Find(0)=5, Find(6)=5, Add (0,6)=77 Failed, w=106\",\"Find(2)=2, Find(6)=5, Add (2,6)=83 Succeeded, w=189\",\"Find(4)=5, Find(6)=5, Add (4,6)=85 Failed, w=189\",\"Find(3)=5, Find(6)=5, Add (3,6)=86 Failed, w=189\",\"Find(2)=5, Find(3)=5, Add (2,3)=97 Failed, w=189\",\"Find(0)=5, Find(5)=5, Add (0,5)=98 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,4,55],[0,5,98],[0,6,77],[1,3,25],[1,4,20],[1,5,17],[2,3,97],[2,6,83],[3,4,5],[3,6,86],[4,6,85],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(5,6)=9,(1,5)=17,(1,4)=20,(1,3)=25,(0,4)=55,(0,1)=73,(0,6)=77,(2,6)=83,(4,6)=85,(3,6)=86,(2,3)=97,(0,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 3, 5: 5, 6: 5}, Find(1)=5, Find(4)=3, Add (1,4)=20 Succeeded, w=51\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 3, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=25 Failed, w=51\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=0, Find(4)=5, Add (0,4)=55 Succeeded, w=106\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(1)=5, Add (0,1)=73 Failed, w=106\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(6)=5, Add (0,6)=77 Failed, w=106\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=83 Succeeded, w=189\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(6)=5, Add (4,6)=85 Failed, w=189\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=86 Failed, w=189\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=97 Failed, w=189\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(5)=5, Add (0,5)=98 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,2,54],[2,4,74],[3,4,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,54],[2,4,74],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,54],[2,4,74],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,54],[2,4,74],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16, w=16\",\"Add (1,2)=54, w=70\",\"Add (2,4)=74, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,54],[2,4,74],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16 Succeeded, w=16\",\"Add (1,2)=54 Succeeded, w=70\",\"Add (2,4)=74 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,54],[2,4,74],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(1,2)=54,(2,4)=74]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=54 Succeeded, w=70\",\"Find(2)=1, Find(4)=3, Add (2,4)=74 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,54],[2,4,74],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(1,2)=54,(2,4)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=54 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(4)=3, Add (2,4)=74 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,73],[0,4,47],[0,5,62],[1,2,67],[1,3,10],[1,4,89],[1,5,27],[2,3,56],[2,4,42],[2,5,0],[3,4,87],[3,5,64],[4,5,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,4,47],[0,5,62],[1,2,67],[1,3,10],[1,4,89],[1,5,27],[2,3,56],[2,4,42],[2,5,0],[3,4,87],[3,5,64],[4,5,41]]}",
"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],\"edges\":[[0,2,73],[0,4,47],[0,5,62],[1,2,67],[1,3,10],[1,4,89],[1,5,27],[2,3,56],[2,4,42],[2,5,0],[3,4,87],[3,5,64],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,4,47],[0,5,62],[1,2,67],[1,3,10],[1,4,89],[1,5,27],[2,3,56],[2,4,42],[2,5,0],[3,4,87],[3,5,64],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (1,3)=10, w=10\",\"Add (1,5)=27, w=37\",\"Add (4,5)=41, w=78\",\"Add (0,4)=47, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,4,47],[0,5,62],[1,2,67],[1,3,10],[1,4,89],[1,5,27],[2,3,56],[2,4,42],[2,5,0],[3,4,87],[3,5,64],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (1,3)=10 Succeeded, w=10\",\"Add (1,5)=27 Succeeded, w=37\",\"Add (4,5)=41 Succeeded, w=78\",\"Add (2,4)=42 Failed, w=78\",\"Add (0,4)=47 Succeeded, w=125\",\"Add (2,3)=56 Failed, w=125\",\"Add (0,5)=62 Failed, w=125\",\"Add (3,5)=64 Failed, w=125\",\"Add (1,2)=67 Failed, w=125\",\"Add (0,2)=73 Failed, w=125\",\"Add (3,4)=87 Failed, w=125\",\"Add (1,4)=89 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],\"edges\":[[0,2,73],[0,4,47],[0,5,62],[1,2,67],[1,3,10],[1,4,89],[1,5,27],[2,3,56],[2,4,42],[2,5,0],[3,4,87],[3,5,64],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,3)=10,(1,5)=27,(4,5)=41,(2,4)=42,(0,4)=47,(2,3)=56,(0,5)=62,(3,5)=64,(1,2)=67,(0,2)=73,(3,4)=87,(1,4)=89]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(5)=2, Add (1,5)=27 Succeeded, w=37\",\"Find(4)=4, Find(5)=1, Add (4,5)=41 Succeeded, w=78\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=78\",\"Find(0)=0, Find(4)=1, Add (0,4)=47 Succeeded, w=125\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=125\",\"Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=125\",\"Find(3)=1, Find(5)=1, Add (3,5)=64 Failed, w=125\",\"Find(1)=1, Find(2)=1, Add (1,2)=67 Failed, w=125\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=125\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=125\",\"Find(1)=1, Find(4)=1, Add (1,4)=89 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],\"edges\":[[0,2,73],[0,4,47],[0,5,62],[1,2,67],[1,3,10],[1,4,89],[1,5,27],[2,3,56],[2,4,42],[2,5,0],[3,4,87],[3,5,64],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,3)=10,(1,5)=27,(4,5)=41,(2,4)=42,(0,4)=47,(2,3)=56,(0,5)=62,(3,5)=64,(1,2)=67,(0,2)=73,(3,4)=87,(1,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=27 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=41 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=47 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=64 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=67 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=125\",\"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=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=89 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,65],[0,3,40],[0,4,11],[0,6,60],[0,7,89],[1,2,34],[1,4,94],[1,6,24],[1,7,33],[2,3,67],[2,4,3],[2,5,50],[2,6,68],[3,4,86],[5,6,19],[5,7,1],[6,7,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,65],[0,3,40],[0,4,11],[0,6,60],[0,7,89],[1,2,34],[1,4,94],[1,6,24],[1,7,33],[2,3,67],[2,4,3],[2,5,50],[2,6,68],[3,4,86],[5,6,19],[5,7,1],[6,7,23]]}",
"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\":[[0,2,65],[0,3,40],[0,4,11],[0,6,60],[0,7,89],[1,2,34],[1,4,94],[1,6,24],[1,7,33],[2,3,67],[2,4,3],[2,5,50],[2,6,68],[3,4,86],[5,6,19],[5,7,1],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (1,2)\",\"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\":[[0,2,65],[0,3,40],[0,4,11],[0,6,60],[0,7,89],[1,2,34],[1,4,94],[1,6,24],[1,7,33],[2,3,67],[2,4,3],[2,5,50],[2,6,68],[3,4,86],[5,6,19],[5,7,1],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=1, w=1\",\"Add (2,4)=3, w=4\",\"Add (0,4)=11, w=15\",\"Add (5,6)=19, w=34\",\"Add (1,6)=24, w=58\",\"Add (1,2)=34, w=92\",\"Add (0,3)=40, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,65],[0,3,40],[0,4,11],[0,6,60],[0,7,89],[1,2,34],[1,4,94],[1,6,24],[1,7,33],[2,3,67],[2,4,3],[2,5,50],[2,6,68],[3,4,86],[5,6,19],[5,7,1],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=1 Succeeded, w=1\",\"Add (2,4)=3 Succeeded, w=4\",\"Add (0,4)=11 Succeeded, w=15\",\"Add (5,6)=19 Succeeded, w=34\",\"Add (6,7)=23 Failed, w=34\",\"Add (1,6)=24 Succeeded, w=58\",\"Add (1,7)=33 Failed, w=58\",\"Add (1,2)=34 Succeeded, w=92\",\"Add (0,3)=40 Succeeded, w=132\",\"Add (2,5)=50 Failed, w=132\",\"Add (0,6)=60 Failed, w=132\",\"Add (0,2)=65 Failed, w=132\",\"Add (2,3)=67 Failed, w=132\",\"Add (2,6)=68 Failed, w=132\",\"Add (3,4)=86 Failed, w=132\",\"Add (0,7)=89 Failed, w=132\",\"Add (1,4)=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\":[[0,2,65],[0,3,40],[0,4,11],[0,6,60],[0,7,89],[1,2,34],[1,4,94],[1,6,24],[1,7,33],[2,3,67],[2,4,3],[2,5,50],[2,6,68],[3,4,86],[5,6,19],[5,7,1],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=1,(2,4)=3,(0,4)=11,(5,6)=19,(6,7)=23,(1,6)=24,(1,7)=33,(1,2)=34,(0,3)=40,(2,5)=50,(0,6)=60,(0,2)=65,(2,3)=67,(2,6)=68,(3,4)=86,(0,7)=89,(1,4)=94]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=4\",\"Find(0)=0, Find(4)=2, Add (0,4)=11 Succeeded, w=15\",\"Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=34\",\"Find(6)=5, Find(7)=5, Add (6,7)=23 Failed, w=34\",\"Find(1)=1, Find(6)=5, Add (1,6)=24 Succeeded, w=58\",\"Find(1)=5, Find(7)=5, Add (1,7)=33 Failed, w=58\",\"Find(1)=5, Find(2)=2, Add (1,2)=34 Succeeded, w=92\",\"Find(0)=5, Find(3)=3, Add (0,3)=40 Succeeded, w=132\",\"Find(2)=5, Find(5)=5, Add (2,5)=50 Failed, w=132\",\"Find(0)=5, Find(6)=5, Add (0,6)=60 Failed, w=132\",\"Find(0)=5, Find(2)=5, Add (0,2)=65 Failed, w=132\",\"Find(2)=5, Find(3)=5, Add (2,3)=67 Failed, w=132\",\"Find(2)=5, Find(6)=5, Add (2,6)=68 Failed, w=132\",\"Find(3)=5, Find(4)=5, Add (3,4)=86 Failed, w=132\",\"Find(0)=5, Find(7)=5, Add (0,7)=89 Failed, w=132\",\"Find(1)=5, Find(4)=5, Add (1,4)=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\":[[0,2,65],[0,3,40],[0,4,11],[0,6,60],[0,7,89],[1,2,34],[1,4,94],[1,6,24],[1,7,33],[2,3,67],[2,4,3],[2,5,50],[2,6,68],[3,4,86],[5,6,19],[5,7,1],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=1,(2,4)=3,(0,4)=11,(5,6)=19,(6,7)=23,(1,6)=24,(1,7)=33,(1,2)=34,(0,3)=40,(2,5)=50,(0,6)=60,(0,2)=65,(2,3)=67,(2,6)=68,(3,4)=86,(0,7)=89,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(4)=2, Add (0,4)=11 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=23 Failed, w=34\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(6)=5, Add (1,6)=24 Succeeded, w=58\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=33 Failed, w=58\",\"Parent: {0: 2, 1: 5, 2: 5, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=2, Add (1,2)=34 Succeeded, w=92\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=3, Add (0,3)=40 Succeeded, w=132\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=50 Failed, w=132\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=60 Failed, w=132\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=65 Failed, w=132\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=67 Failed, w=132\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=68 Failed, w=132\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=86 Failed, w=132\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=89 Failed, w=132\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=94 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,2,95],[0,3,19],[0,4,98],[0,5,70],[0,6,62],[0,7,64],[1,2,57],[1,3,78],[1,4,69],[1,5,75],[1,6,98],[1,7,26],[2,3,7],[2,4,2],[2,5,24],[2,6,43],[2,7,48],[3,4,22],[3,5,45],[3,6,100],[3,7,62],[4,5,6],[4,7,87],[5,6,43],[5,7,34],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,95],[0,3,19],[0,4,98],[0,5,70],[0,6,62],[0,7,64],[1,2,57],[1,3,78],[1,4,69],[1,5,75],[1,6,98],[1,7,26],[2,3,7],[2,4,2],[2,5,24],[2,6,43],[2,7,48],[3,4,22],[3,5,45],[3,6,100],[3,7,62],[4,5,6],[4,7,87],[5,6,43],[5,7,34],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,95],[0,3,19],[0,4,98],[0,5,70],[0,6,62],[0,7,64],[1,2,57],[1,3,78],[1,4,69],[1,5,75],[1,6,98],[1,7,26],[2,3,7],[2,4,2],[2,5,24],[2,6,43],[2,7,48],[3,4,22],[3,5,45],[3,6,100],[3,7,62],[4,5,6],[4,7,87],[5,6,43],[5,7,34],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (5,7)\",\"Add (2,6)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,95],[0,3,19],[0,4,98],[0,5,70],[0,6,62],[0,7,64],[1,2,57],[1,3,78],[1,4,69],[1,5,75],[1,6,98],[1,7,26],[2,3,7],[2,4,2],[2,5,24],[2,6,43],[2,7,48],[3,4,22],[3,5,45],[3,6,100],[3,7,62],[4,5,6],[4,7,87],[5,6,43],[5,7,34],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (4,5)=6, w=8\",\"Add (2,3)=7, w=15\",\"Add (0,3)=19, w=34\",\"Add (1,7)=26, w=60\",\"Add (5,7)=34, w=94\",\"Add (2,6)=43, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,95],[0,3,19],[0,4,98],[0,5,70],[0,6,62],[0,7,64],[1,2,57],[1,3,78],[1,4,69],[1,5,75],[1,6,98],[1,7,26],[2,3,7],[2,4,2],[2,5,24],[2,6,43],[2,7,48],[3,4,22],[3,5,45],[3,6,100],[3,7,62],[4,5,6],[4,7,87],[5,6,43],[5,7,34],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (4,5)=6 Succeeded, w=8\",\"Add (2,3)=7 Succeeded, w=15\",\"Add (0,3)=19 Succeeded, w=34\",\"Add (3,4)=22 Failed, w=34\",\"Add (2,5)=24 Failed, w=34\",\"Add (1,7)=26 Succeeded, w=60\",\"Add (5,7)=34 Succeeded, w=94\",\"Add (2,6)=43 Succeeded, w=137\",\"Add (5,6)=43 Failed, w=137\",\"Add (3,5)=45 Failed, w=137\",\"Add (2,7)=48 Failed, w=137\",\"Add (1,2)=57 Failed, w=137\",\"Add (0,1)=58 Failed, w=137\",\"Add (0,6)=62 Failed, w=137\",\"Add (3,7)=62 Failed, w=137\",\"Add (0,7)=64 Failed, w=137\",\"Add (1,4)=69 Failed, w=137\",\"Add (0,5)=70 Failed, w=137\",\"Add (1,5)=75 Failed, w=137\",\"Add (1,3)=78 Failed, w=137\",\"Add (4,7)=87 Failed, w=137\",\"Add (6,7)=87 Failed, w=137\",\"Add (0,2)=95 Failed, w=137\",\"Add (0,4)=98 Failed, w=137\",\"Add (1,6)=98 Failed, w=137\",\"Add (3,6)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,95],[0,3,19],[0,4,98],[0,5,70],[0,6,62],[0,7,64],[1,2,57],[1,3,78],[1,4,69],[1,5,75],[1,6,98],[1,7,26],[2,3,7],[2,4,2],[2,5,24],[2,6,43],[2,7,48],[3,4,22],[3,5,45],[3,6,100],[3,7,62],[4,5,6],[4,7,87],[5,6,43],[5,7,34],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(4,5)=6,(2,3)=7,(0,3)=19,(3,4)=22,(2,5)=24,(1,7)=26,(5,7)=34,(2,6)=43,(5,6)=43,(3,5)=45,(2,7)=48,(1,2)=57,(0,1)=58,(0,6)=62,(3,7)=62,(0,7)=64,(1,4)=69,(0,5)=70,(1,5)=75,(1,3)=78,(4,7)=87,(6,7)=87,(0,2)=95,(0,4)=98,(1,6)=98,(3,6)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(4)=2, Find(5)=5, Add (4,5)=6 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=15\",\"Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=34\",\"Find(3)=2, Find(4)=2, Add (3,4)=22 Failed, w=34\",\"Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=34\",\"Find(1)=1, Find(7)=7, Add (1,7)=26 Succeeded, w=60\",\"Find(5)=2, Find(7)=1, Add (5,7)=34 Succeeded, w=94\",\"Find(2)=2, Find(6)=6, Add (2,6)=43 Succeeded, w=137\",\"Find(5)=2, Find(6)=2, Add (5,6)=43 Failed, w=137\",\"Find(3)=2, Find(5)=2, Add (3,5)=45 Failed, w=137\",\"Find(2)=2, Find(7)=2, Add (2,7)=48 Failed, w=137\",\"Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=137\",\"Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=137\",\"Find(0)=2, Find(6)=2, Add (0,6)=62 Failed, w=137\",\"Find(3)=2, Find(7)=2, Add (3,7)=62 Failed, w=137\",\"Find(0)=2, Find(7)=2, Add (0,7)=64 Failed, w=137\",\"Find(1)=2, Find(4)=2, Add (1,4)=69 Failed, w=137\",\"Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=137\",\"Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=137\",\"Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=137\",\"Find(4)=2, Find(7)=2, Add (4,7)=87 Failed, w=137\",\"Find(6)=2, Find(7)=2, Add (6,7)=87 Failed, w=137\",\"Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=137\",\"Find(0)=2, Find(4)=2, Add (0,4)=98 Failed, w=137\",\"Find(1)=2, Find(6)=2, Add (1,6)=98 Failed, w=137\",\"Find(3)=2, Find(6)=2, Add (3,6)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,95],[0,3,19],[0,4,98],[0,5,70],[0,6,62],[0,7,64],[1,2,57],[1,3,78],[1,4,69],[1,5,75],[1,6,98],[1,7,26],[2,3,7],[2,4,2],[2,5,24],[2,6,43],[2,7,48],[3,4,22],[3,5,45],[3,6,100],[3,7,62],[4,5,6],[4,7,87],[5,6,43],[5,7,34],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(4,5)=6,(2,3)=7,(0,3)=19,(3,4)=22,(2,5)=24,(1,7)=26,(5,7)=34,(2,6)=43,(5,6)=43,(3,5)=45,(2,7)=48,(1,2)=57,(0,1)=58,(0,6)=62,(3,7)=62,(0,7)=64,(1,4)=69,(0,5)=70,(1,5)=75,(1,3)=78,(4,7)=87,(6,7)=87,(0,2)=95,(0,4)=98,(1,6)=98,(3,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=2, Find(5)=5, Add (4,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(4)=2, Add (3,4)=22 Failed, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=26 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 1}, Find(5)=2, Find(7)=1, Add (5,7)=34 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=43 Succeeded, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 1}, Find(5)=2, Find(6)=2, Add (5,6)=43 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 1}, Find(3)=2, Find(5)=2, Add (3,5)=45 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=48 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=62 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=62 Failed, w=137\",\"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)=64 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=69 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=137\",\"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)=78 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=87 Failed, w=137\",\"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)=87 Failed, w=137\",\"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)=95 Failed, w=137\",\"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)=98 Failed, w=137\",\"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)=98 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,31],[0,2,39],[0,3,71],[1,2,38],[1,3,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,39],[0,3,71],[1,2,38],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,39],[0,3,71],[1,2,38],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,39],[0,3,71],[1,2,38],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=31, w=31\",\"Add (1,2)=38, w=69\",\"Add (0,3)=71, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,39],[0,3,71],[1,2,38],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=31 Succeeded, w=31\",\"Add (1,2)=38 Succeeded, w=69\",\"Add (0,2)=39 Failed, w=69\",\"Add (0,3)=71 Succeeded, w=140\",\"Add (1,3)=81 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,39],[0,3,71],[1,2,38],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=31,(1,2)=38,(0,2)=39,(0,3)=71,(1,3)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Find(1)=0, Find(2)=2, Add (1,2)=38 Succeeded, w=69\",\"Find(0)=0, Find(2)=0, Add (0,2)=39 Failed, w=69\",\"Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=140\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,39],[0,3,71],[1,2,38],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=31,(1,2)=38,(0,2)=39,(0,3)=71,(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=38 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=0, Add (0,2)=39 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,2,92],[1,4,98],[2,4,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,92],[1,4,98],[2,4,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,92],[1,4,98],[2,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,92],[1,4,98],[2,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=57, w=57\",\"Add (0,1)=76, w=133\",\"Add (0,2)=92, w=225\"],\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,92],[1,4,98],[2,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=57 Succeeded, w=57\",\"Add (0,1)=76 Succeeded, w=133\",\"Add (0,2)=92 Succeeded, w=225\",\"Add (1,4)=98 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,92],[1,4,98],[2,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=57,(0,1)=76,(0,2)=92,(1,4)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=57 Succeeded, w=57\",\"Find(0)=0, Find(1)=1, Add (0,1)=76 Succeeded, w=133\",\"Find(0)=0, Find(2)=2, Add (0,2)=92 Succeeded, w=225\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,92],[1,4,98],[2,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=57,(0,1)=76,(0,2)=92,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=57 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=76 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=92 Succeeded, w=225\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,19],[0,2,7],[0,3,2],[0,6,15],[1,4,77],[1,5,31],[1,6,91],[1,7,31],[2,4,85],[2,6,82],[2,7,28],[3,4,58],[3,5,21],[3,6,69],[3,7,43],[4,6,34],[4,7,3],[5,6,77],[5,7,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,7],[0,3,2],[0,6,15],[1,4,77],[1,5,31],[1,6,91],[1,7,31],[2,4,85],[2,6,82],[2,7,28],[3,4,58],[3,5,21],[3,6,69],[3,7,43],[4,6,34],[4,7,3],[5,6,77],[5,7,62]]}",
"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\":[[0,1,19],[0,2,7],[0,3,2],[0,6,15],[1,4,77],[1,5,31],[1,6,91],[1,7,31],[2,4,85],[2,6,82],[2,7,28],[3,4,58],[3,5,21],[3,6,69],[3,7,43],[4,6,34],[4,7,3],[5,6,77],[5,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,7)\"],\"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\":[[0,1,19],[0,2,7],[0,3,2],[0,6,15],[1,4,77],[1,5,31],[1,6,91],[1,7,31],[2,4,85],[2,6,82],[2,7,28],[3,4,58],[3,5,21],[3,6,69],[3,7,43],[4,6,34],[4,7,3],[5,6,77],[5,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (4,7)=3, w=5\",\"Add (0,2)=7, w=12\",\"Add (0,6)=15, w=27\",\"Add (0,1)=19, w=46\",\"Add (3,5)=21, w=67\",\"Add (2,7)=28, 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\":[[0,1,19],[0,2,7],[0,3,2],[0,6,15],[1,4,77],[1,5,31],[1,6,91],[1,7,31],[2,4,85],[2,6,82],[2,7,28],[3,4,58],[3,5,21],[3,6,69],[3,7,43],[4,6,34],[4,7,3],[5,6,77],[5,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (4,7)=3 Succeeded, w=5\",\"Add (0,2)=7 Succeeded, w=12\",\"Add (0,6)=15 Succeeded, w=27\",\"Add (0,1)=19 Succeeded, w=46\",\"Add (3,5)=21 Succeeded, w=67\",\"Add (2,7)=28 Succeeded, w=95\",\"Add (1,5)=31 Failed, w=95\",\"Add (1,7)=31 Failed, w=95\",\"Add (4,6)=34 Failed, w=95\",\"Add (3,7)=43 Failed, w=95\",\"Add (3,4)=58 Failed, w=95\",\"Add (5,7)=62 Failed, w=95\",\"Add (3,6)=69 Failed, w=95\",\"Add (1,4)=77 Failed, w=95\",\"Add (5,6)=77 Failed, w=95\",\"Add (2,6)=82 Failed, w=95\",\"Add (2,4)=85 Failed, w=95\",\"Add (1,6)=91 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\":[[0,1,19],[0,2,7],[0,3,2],[0,6,15],[1,4,77],[1,5,31],[1,6,91],[1,7,31],[2,4,85],[2,6,82],[2,7,28],[3,4,58],[3,5,21],[3,6,69],[3,7,43],[4,6,34],[4,7,3],[5,6,77],[5,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(4,7)=3,(0,2)=7,(0,6)=15,(0,1)=19,(3,5)=21,(2,7)=28,(1,5)=31,(1,7)=31,(4,6)=34,(3,7)=43,(3,4)=58,(5,7)=62,(3,6)=69,(1,4)=77,(5,6)=77,(2,6)=82,(2,4)=85,(1,6)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=12\",\"Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=46\",\"Find(3)=0, Find(5)=5, Add (3,5)=21 Succeeded, w=67\",\"Find(2)=0, Find(7)=4, Add (2,7)=28 Succeeded, w=95\",\"Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=95\",\"Find(1)=0, Find(7)=0, Add (1,7)=31 Failed, w=95\",\"Find(4)=0, Find(6)=0, Add (4,6)=34 Failed, w=95\",\"Find(3)=0, Find(7)=0, Add (3,7)=43 Failed, w=95\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=95\",\"Find(5)=0, Find(7)=0, Add (5,7)=62 Failed, w=95\",\"Find(3)=0, Find(6)=0, Add (3,6)=69 Failed, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=95\",\"Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=95\",\"Find(2)=0, Find(6)=0, Add (2,6)=82 Failed, w=95\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=95\",\"Find(1)=0, Find(6)=0, Add (1,6)=91 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\":[[0,1,19],[0,2,7],[0,3,2],[0,6,15],[1,4,77],[1,5,31],[1,6,91],[1,7,31],[2,4,85],[2,6,82],[2,7,28],[3,4,58],[3,5,21],[3,6,69],[3,7,43],[4,6,34],[4,7,3],[5,6,77],[5,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(4,7)=3,(0,2)=7,(0,6)=15,(0,1)=19,(3,5)=21,(2,7)=28,(1,5)=31,(1,7)=31,(4,6)=34,(3,7)=43,(3,4)=58,(5,7)=62,(3,6)=69,(1,4)=77,(5,6)=77,(2,6)=82,(2,4)=85,(1,6)=91]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 4}, Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 4}, Find(3)=0, Find(5)=5, Add (3,5)=21 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=0, Find(7)=4, Add (2,7)=28 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=95\",\"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)=31 Failed, w=95\",\"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)=34 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=43 Failed, w=95\",\"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=95\",\"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)=62 Failed, w=95\",\"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)=69 Failed, w=95\",\"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)=77 Failed, w=95\",\"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)=77 Failed, w=95\",\"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)=82 Failed, w=95\",\"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)=85 Failed, w=95\",\"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=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,52],[0,3,70],[1,3,91],[1,4,43],[2,3,6],[2,4,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,3,70],[1,3,91],[1,4,43],[2,3,6],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,3,70],[1,3,91],[1,4,43],[2,3,6],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,3,70],[1,3,91],[1,4,43],[2,3,6],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (2,3)=6, w=8\",\"Add (1,4)=43, w=51\",\"Add (0,1)=52, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,3,70],[1,3,91],[1,4,43],[2,3,6],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (2,3)=6 Succeeded, w=8\",\"Add (1,4)=43 Succeeded, w=51\",\"Add (0,1)=52 Succeeded, w=103\",\"Add (0,3)=70 Failed, w=103\",\"Add (1,3)=91 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,3,70],[1,3,91],[1,4,43],[2,3,6],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(2,3)=6,(1,4)=43,(0,1)=52,(0,3)=70,(1,3)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=8\",\"Find(1)=1, Find(4)=2, Add (1,4)=43 Succeeded, w=51\",\"Find(0)=0, Find(1)=2, Add (0,1)=52 Succeeded, w=103\",\"Find(0)=2, Find(3)=2, Add (0,3)=70 Failed, w=103\",\"Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,3,70],[1,3,91],[1,4,43],[2,3,6],[2,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(2,3)=6,(1,4)=43,(0,1)=52,(0,3)=70,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=43 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=52 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=70 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,2,23],[0,3,22],[0,4,84],[0,5,86],[0,6,72],[1,2,44],[1,3,6],[1,4,56],[1,5,97],[1,6,89],[1,7,36],[2,3,79],[2,4,94],[2,5,43],[2,6,29],[2,7,99],[3,5,18],[3,6,53],[3,7,7],[4,5,38],[4,6,54],[5,6,44],[5,7,98],[6,7,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,23],[0,3,22],[0,4,84],[0,5,86],[0,6,72],[1,2,44],[1,3,6],[1,4,56],[1,5,97],[1,6,89],[1,7,36],[2,3,79],[2,4,94],[2,5,43],[2,6,29],[2,7,99],[3,5,18],[3,6,53],[3,7,7],[4,5,38],[4,6,54],[5,6,44],[5,7,98],[6,7,43]]}",
"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\":[[0,1,76],[0,2,23],[0,3,22],[0,4,84],[0,5,86],[0,6,72],[1,2,44],[1,3,6],[1,4,56],[1,5,97],[1,6,89],[1,7,36],[2,3,79],[2,4,94],[2,5,43],[2,6,29],[2,7,99],[3,5,18],[3,6,53],[3,7,7],[4,5,38],[4,6,54],[5,6,44],[5,7,98],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,7)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (4,5)\"],\"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\":[[0,1,76],[0,2,23],[0,3,22],[0,4,84],[0,5,86],[0,6,72],[1,2,44],[1,3,6],[1,4,56],[1,5,97],[1,6,89],[1,7,36],[2,3,79],[2,4,94],[2,5,43],[2,6,29],[2,7,99],[3,5,18],[3,6,53],[3,7,7],[4,5,38],[4,6,54],[5,6,44],[5,7,98],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (3,7)=7, w=13\",\"Add (3,5)=18, w=31\",\"Add (0,3)=22, w=53\",\"Add (0,2)=23, w=76\",\"Add (2,6)=29, w=105\",\"Add (4,5)=38, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,23],[0,3,22],[0,4,84],[0,5,86],[0,6,72],[1,2,44],[1,3,6],[1,4,56],[1,5,97],[1,6,89],[1,7,36],[2,3,79],[2,4,94],[2,5,43],[2,6,29],[2,7,99],[3,5,18],[3,6,53],[3,7,7],[4,5,38],[4,6,54],[5,6,44],[5,7,98],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (3,7)=7 Succeeded, w=13\",\"Add (3,5)=18 Succeeded, w=31\",\"Add (0,3)=22 Succeeded, w=53\",\"Add (0,2)=23 Succeeded, w=76\",\"Add (2,6)=29 Succeeded, w=105\",\"Add (1,7)=36 Failed, w=105\",\"Add (4,5)=38 Succeeded, w=143\",\"Add (2,5)=43 Failed, w=143\",\"Add (6,7)=43 Failed, w=143\",\"Add (1,2)=44 Failed, w=143\",\"Add (5,6)=44 Failed, w=143\",\"Add (3,6)=53 Failed, w=143\",\"Add (4,6)=54 Failed, w=143\",\"Add (1,4)=56 Failed, w=143\",\"Add (0,6)=72 Failed, w=143\",\"Add (0,1)=76 Failed, w=143\",\"Add (2,3)=79 Failed, w=143\",\"Add (0,4)=84 Failed, w=143\",\"Add (0,5)=86 Failed, w=143\",\"Add (1,6)=89 Failed, w=143\",\"Add (2,4)=94 Failed, w=143\",\"Add (1,5)=97 Failed, w=143\",\"Add (5,7)=98 Failed, w=143\",\"Add (2,7)=99 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\":[[0,1,76],[0,2,23],[0,3,22],[0,4,84],[0,5,86],[0,6,72],[1,2,44],[1,3,6],[1,4,56],[1,5,97],[1,6,89],[1,7,36],[2,3,79],[2,4,94],[2,5,43],[2,6,29],[2,7,99],[3,5,18],[3,6,53],[3,7,7],[4,5,38],[4,6,54],[5,6,44],[5,7,98],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(3,7)=7,(3,5)=18,(0,3)=22,(0,2)=23,(2,6)=29,(1,7)=36,(4,5)=38,(2,5)=43,(6,7)=43,(1,2)=44,(5,6)=44,(3,6)=53,(4,6)=54,(1,4)=56,(0,6)=72,(0,1)=76,(2,3)=79,(0,4)=84,(0,5)=86,(1,6)=89,(2,4)=94,(1,5)=97,(5,7)=98,(2,7)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(3)=1, Find(7)=7, Add (3,7)=7 Succeeded, w=13\",\"Find(3)=1, Find(5)=5, Add (3,5)=18 Succeeded, w=31\",\"Find(0)=0, Find(3)=1, Add (0,3)=22 Succeeded, w=53\",\"Find(0)=1, Find(2)=2, Add (0,2)=23 Succeeded, w=76\",\"Find(2)=1, Find(6)=6, Add (2,6)=29 Succeeded, w=105\",\"Find(1)=1, Find(7)=1, Add (1,7)=36 Failed, w=105\",\"Find(4)=4, Find(5)=1, Add (4,5)=38 Succeeded, w=143\",\"Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=143\",\"Find(6)=1, Find(7)=1, Add (6,7)=43 Failed, w=143\",\"Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=143\",\"Find(5)=1, Find(6)=1, Add (5,6)=44 Failed, w=143\",\"Find(3)=1, Find(6)=1, Add (3,6)=53 Failed, w=143\",\"Find(4)=1, Find(6)=1, Add (4,6)=54 Failed, w=143\",\"Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=143\",\"Find(0)=1, Find(6)=1, Add (0,6)=72 Failed, w=143\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=143\",\"Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=143\",\"Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=143\",\"Find(0)=1, Find(5)=1, Add (0,5)=86 Failed, w=143\",\"Find(1)=1, Find(6)=1, Add (1,6)=89 Failed, w=143\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=143\",\"Find(1)=1, Find(5)=1, Add (1,5)=97 Failed, w=143\",\"Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=143\",\"Find(2)=1, Find(7)=1, Add (2,7)=99 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\":[[0,1,76],[0,2,23],[0,3,22],[0,4,84],[0,5,86],[0,6,72],[1,2,44],[1,3,6],[1,4,56],[1,5,97],[1,6,89],[1,7,36],[2,3,79],[2,4,94],[2,5,43],[2,6,29],[2,7,99],[3,5,18],[3,6,53],[3,7,7],[4,5,38],[4,6,54],[5,6,44],[5,7,98],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(3,7)=7,(3,5)=18,(0,3)=22,(0,2)=23,(2,6)=29,(1,7)=36,(4,5)=38,(2,5)=43,(6,7)=43,(1,2)=44,(5,6)=44,(3,6)=53,(4,6)=54,(1,4)=56,(0,6)=72,(0,1)=76,(2,3)=79,(0,4)=84,(0,5)=86,(1,6)=89,(2,4)=94,(1,5)=97,(5,7)=98,(2,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(5)=5, Add (3,5)=18 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(3)=1, Add (0,3)=22 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=23 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=29 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=36 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=4, Find(5)=1, Add (4,5)=38 Succeeded, w=143\",\"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)=43 Failed, w=143\",\"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)=43 Failed, w=143\",\"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)=44 Failed, w=143\",\"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)=44 Failed, w=143\",\"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)=53 Failed, w=143\",\"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)=54 Failed, w=143\",\"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)=56 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=72 Failed, w=143\",\"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)=76 Failed, w=143\",\"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)=79 Failed, w=143\",\"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)=84 Failed, w=143\",\"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)=86 Failed, w=143\",\"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)=89 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=143\",\"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)=97 Failed, w=143\",\"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)=98 Failed, w=143\",\"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)=99 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,98],[0,2,87],[0,3,10],[0,4,83],[0,5,7],[0,6,37],[1,2,43],[1,3,86],[1,4,30],[1,5,85],[1,6,54],[2,3,43],[2,4,60],[2,5,23],[2,6,38],[3,4,80],[3,5,24],[3,6,5],[4,5,97],[4,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,87],[0,3,10],[0,4,83],[0,5,7],[0,6,37],[1,2,43],[1,3,86],[1,4,30],[1,5,85],[1,6,54],[2,3,43],[2,4,60],[2,5,23],[2,6,38],[3,4,80],[3,5,24],[3,6,5],[4,5,97],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,87],[0,3,10],[0,4,83],[0,5,7],[0,6,37],[1,2,43],[1,3,86],[1,4,30],[1,5,85],[1,6,54],[2,3,43],[2,4,60],[2,5,23],[2,6,38],[3,4,80],[3,5,24],[3,6,5],[4,5,97],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,87],[0,3,10],[0,4,83],[0,5,7],[0,6,37],[1,2,43],[1,3,86],[1,4,30],[1,5,85],[1,6,54],[2,3,43],[2,4,60],[2,5,23],[2,6,38],[3,4,80],[3,5,24],[3,6,5],[4,5,97],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (3,6)=5, w=8\",\"Add (0,5)=7, w=15\",\"Add (0,3)=10, w=25\",\"Add (2,5)=23, w=48\",\"Add (1,4)=30, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,87],[0,3,10],[0,4,83],[0,5,7],[0,6,37],[1,2,43],[1,3,86],[1,4,30],[1,5,85],[1,6,54],[2,3,43],[2,4,60],[2,5,23],[2,6,38],[3,4,80],[3,5,24],[3,6,5],[4,5,97],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (3,6)=5 Succeeded, w=8\",\"Add (0,5)=7 Succeeded, w=15\",\"Add (0,3)=10 Succeeded, w=25\",\"Add (2,5)=23 Succeeded, w=48\",\"Add (3,5)=24 Failed, w=48\",\"Add (1,4)=30 Succeeded, w=78\",\"Add (0,6)=37 Failed, w=78\",\"Add (2,6)=38 Failed, w=78\",\"Add (1,2)=43 Failed, w=78\",\"Add (2,3)=43 Failed, w=78\",\"Add (1,6)=54 Failed, w=78\",\"Add (2,4)=60 Failed, w=78\",\"Add (3,4)=80 Failed, w=78\",\"Add (0,4)=83 Failed, w=78\",\"Add (1,5)=85 Failed, w=78\",\"Add (1,3)=86 Failed, w=78\",\"Add (0,2)=87 Failed, w=78\",\"Add (4,5)=97 Failed, w=78\",\"Add (0,1)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,87],[0,3,10],[0,4,83],[0,5,7],[0,6,37],[1,2,43],[1,3,86],[1,4,30],[1,5,85],[1,6,54],[2,3,43],[2,4,60],[2,5,23],[2,6,38],[3,4,80],[3,5,24],[3,6,5],[4,5,97],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(3,6)=5,(0,5)=7,(0,3)=10,(2,5)=23,(3,5)=24,(1,4)=30,(0,6)=37,(2,6)=38,(1,2)=43,(2,3)=43,(1,6)=54,(2,4)=60,(3,4)=80,(0,4)=83,(1,5)=85,(1,3)=86,(0,2)=87,(4,5)=97,(0,1)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(3)=3, Find(6)=4, Add (3,6)=5 Succeeded, w=8\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=15\",\"Find(0)=0, Find(3)=4, Add (0,3)=10 Succeeded, w=25\",\"Find(2)=2, Find(5)=0, Add (2,5)=23 Succeeded, w=48\",\"Find(3)=0, Find(5)=0, Add (3,5)=24 Failed, w=48\",\"Find(1)=1, Find(4)=0, Add (1,4)=30 Succeeded, w=78\",\"Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=78\",\"Find(2)=0, Find(6)=0, Add (2,6)=38 Failed, w=78\",\"Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=78\",\"Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=78\",\"Find(1)=0, Find(6)=0, Add (1,6)=54 Failed, w=78\",\"Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=78\",\"Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=78\",\"Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=78\",\"Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=78\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=78\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=78\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=78\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,87],[0,3,10],[0,4,83],[0,5,7],[0,6,37],[1,2,43],[1,3,86],[1,4,30],[1,5,85],[1,6,54],[2,3,43],[2,4,60],[2,5,23],[2,6,38],[3,4,80],[3,5,24],[3,6,5],[4,5,97],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(3,6)=5,(0,5)=7,(0,3)=10,(2,5)=23,(3,5)=24,(1,4)=30,(0,6)=37,(2,6)=38,(1,2)=43,(2,3)=43,(1,6)=54,(2,4)=60,(3,4)=80,(0,4)=83,(1,5)=85,(1,3)=86,(0,2)=87,(4,5)=97,(0,1)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4}, Find(3)=3, Find(6)=4, Add (3,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(3)=4, Add (0,3)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 0, 5: 0, 6: 4}, Find(2)=2, Find(5)=0, Add (2,5)=23 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(5)=0, Add (3,5)=24 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=1, Find(4)=0, Add (1,4)=30 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=38 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=54 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,87],[0,3,5],[1,3,33],[1,4,6],[1,6,26],[2,3,70],[2,4,98],[3,4,6],[3,5,74],[5,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,5],[1,3,33],[1,4,6],[1,6,26],[2,3,70],[2,4,98],[3,4,6],[3,5,74],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,5],[1,3,33],[1,4,6],[1,6,26],[2,3,70],[2,4,98],[3,4,6],[3,5,74],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (2,3)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,5],[1,3,33],[1,4,6],[1,6,26],[2,3,70],[2,4,98],[3,4,6],[3,5,74],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (1,4)=6, w=11\",\"Add (3,4)=6, w=17\",\"Add (5,6)=11, w=28\",\"Add (1,6)=26, w=54\",\"Add (2,3)=70, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,5],[1,3,33],[1,4,6],[1,6,26],[2,3,70],[2,4,98],[3,4,6],[3,5,74],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,4)=6 Succeeded, w=11\",\"Add (3,4)=6 Succeeded, w=17\",\"Add (5,6)=11 Succeeded, w=28\",\"Add (1,6)=26 Succeeded, w=54\",\"Add (1,3)=33 Failed, w=54\",\"Add (2,3)=70 Succeeded, w=124\",\"Add (3,5)=74 Failed, w=124\",\"Add (0,2)=87 Failed, w=124\",\"Add (2,4)=98 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,5],[1,3,33],[1,4,6],[1,6,26],[2,3,70],[2,4,98],[3,4,6],[3,5,74],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,4)=6,(3,4)=6,(5,6)=11,(1,6)=26,(1,3)=33,(2,3)=70,(3,5)=74,(0,2)=87,(2,4)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=11\",\"Find(3)=0, Find(4)=1, Add (3,4)=6 Succeeded, w=17\",\"Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=28\",\"Find(1)=0, Find(6)=5, Add (1,6)=26 Succeeded, w=54\",\"Find(1)=0, Find(3)=0, Add (1,3)=33 Failed, w=54\",\"Find(2)=2, Find(3)=0, Add (2,3)=70 Succeeded, w=124\",\"Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=124\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=124\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,5],[1,3,33],[1,4,6],[1,6,26],[2,3,70],[2,4,98],[3,4,6],[3,5,74],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,4)=6,(3,4)=6,(5,6)=11,(1,6)=26,(1,3)=33,(2,3)=70,(3,5)=74,(0,2)=87,(2,4)=98]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6}, Find(3)=0, Find(4)=1, Add (3,4)=6 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0, 6: 5}, Find(1)=0, Find(6)=5, Add (1,6)=26 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0, 6: 5}, Find(1)=0, Find(3)=0, Add (1,3)=33 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 5}, Find(2)=2, Find(3)=0, Add (2,3)=70 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 5}, Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 5}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,53],[0,4,61],[1,2,18],[1,6,74],[2,4,35],[2,5,49],[2,6,46],[3,4,31],[3,6,16],[4,5,36],[4,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,4,61],[1,2,18],[1,6,74],[2,4,35],[2,5,49],[2,6,46],[3,4,31],[3,6,16],[4,5,36],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,4,61],[1,2,18],[1,6,74],[2,4,35],[2,5,49],[2,6,46],[3,4,31],[3,6,16],[4,5,36],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,4,61],[1,2,18],[1,6,74],[2,4,35],[2,5,49],[2,6,46],[3,4,31],[3,6,16],[4,5,36],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=16, w=16\",\"Add (1,2)=18, w=34\",\"Add (4,6)=19, w=53\",\"Add (2,4)=35, w=88\",\"Add (4,5)=36, w=124\",\"Add (0,2)=53, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,4,61],[1,2,18],[1,6,74],[2,4,35],[2,5,49],[2,6,46],[3,4,31],[3,6,16],[4,5,36],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=16 Succeeded, w=16\",\"Add (1,2)=18 Succeeded, w=34\",\"Add (4,6)=19 Succeeded, w=53\",\"Add (3,4)=31 Failed, w=53\",\"Add (2,4)=35 Succeeded, w=88\",\"Add (4,5)=36 Succeeded, w=124\",\"Add (2,6)=46 Failed, w=124\",\"Add (2,5)=49 Failed, w=124\",\"Add (0,2)=53 Succeeded, w=177\",\"Add (0,4)=61 Failed, w=177\",\"Add (1,6)=74 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,4,61],[1,2,18],[1,6,74],[2,4,35],[2,5,49],[2,6,46],[3,4,31],[3,6,16],[4,5,36],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=16,(1,2)=18,(4,6)=19,(3,4)=31,(2,4)=35,(4,5)=36,(2,6)=46,(2,5)=49,(0,2)=53,(0,4)=61,(1,6)=74]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=34\",\"Find(4)=4, Find(6)=3, Add (4,6)=19 Succeeded, w=53\",\"Find(3)=3, Find(4)=3, Add (3,4)=31 Failed, w=53\",\"Find(2)=1, Find(4)=3, Add (2,4)=35 Succeeded, w=88\",\"Find(4)=1, Find(5)=5, Add (4,5)=36 Succeeded, w=124\",\"Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=124\",\"Find(2)=1, Find(5)=1, Add (2,5)=49 Failed, w=124\",\"Find(0)=0, Find(2)=1, Add (0,2)=53 Succeeded, w=177\",\"Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=177\",\"Find(1)=1, Find(6)=1, Add (1,6)=74 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,53],[0,4,61],[1,2,18],[1,6,74],[2,4,35],[2,5,49],[2,6,46],[3,4,31],[3,6,16],[4,5,36],[4,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=16,(1,2)=18,(4,6)=19,(3,4)=31,(2,4)=35,(4,5)=36,(2,6)=46,(2,5)=49,(0,2)=53,(0,4)=61,(1,6)=74]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=19 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=31 Failed, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5, 6: 3}, Find(2)=1, Find(4)=3, Add (2,4)=35 Succeeded, w=88\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(4)=1, Find(5)=5, Add (4,5)=36 Succeeded, w=124\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=124\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=49 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=53 Succeeded, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=74 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,2,91],[0,5,57],[2,3,70],[2,4,91],[3,4,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,5,57],[2,3,70],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":293}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,5,57],[2,3,70],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":293}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,5,57],[2,3,70],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=20, w=20\",\"Add (0,1)=55, w=75\",\"Add (0,5)=57, w=132\",\"Add (2,3)=70, w=202\",\"Add (0,2)=91, w=293\"],\"Answer\":293}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,5,57],[2,3,70],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=20 Succeeded, w=20\",\"Add (0,1)=55 Succeeded, w=75\",\"Add (0,5)=57 Succeeded, w=132\",\"Add (2,3)=70 Succeeded, w=202\",\"Add (0,2)=91 Succeeded, w=293\",\"Add (2,4)=91 Failed, w=293\"],\"Answer\":293}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,5,57],[2,3,70],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=20,(0,1)=55,(0,5)=57,(2,3)=70,(0,2)=91,(2,4)=91]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=20\",\"Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=75\",\"Find(0)=0, Find(5)=5, Add (0,5)=57 Succeeded, w=132\",\"Find(2)=2, Find(3)=3, Add (2,3)=70 Succeeded, w=202\",\"Find(0)=0, Find(2)=3, Add (0,2)=91 Succeeded, w=293\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=293\"],\"Answer\":293}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,5,57],[2,3,70],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=20,(0,1)=55,(0,5)=57,(2,3)=70,(0,2)=91,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=57 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=70 Succeeded, w=202\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(2)=3, Add (0,2)=91 Succeeded, w=293\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=293\"],\"Answer\":293}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,65],[0,2,80],[0,3,52],[0,4,28],[0,5,73],[0,6,58],[0,7,12],[1,2,4],[1,3,19],[1,4,82],[1,5,3],[1,6,64],[1,7,23],[2,3,16],[2,4,89],[2,5,7],[2,6,38],[2,7,62],[3,4,35],[3,5,66],[3,7,96],[4,5,43],[4,6,53],[4,7,91],[5,6,59],[5,7,21],[6,7,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,80],[0,3,52],[0,4,28],[0,5,73],[0,6,58],[0,7,12],[1,2,4],[1,3,19],[1,4,82],[1,5,3],[1,6,64],[1,7,23],[2,3,16],[2,4,89],[2,5,7],[2,6,38],[2,7,62],[3,4,35],[3,5,66],[3,7,96],[4,5,43],[4,6,53],[4,7,91],[5,6,59],[5,7,21],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,80],[0,3,52],[0,4,28],[0,5,73],[0,6,58],[0,7,12],[1,2,4],[1,3,19],[1,4,82],[1,5,3],[1,6,64],[1,7,23],[2,3,16],[2,4,89],[2,5,7],[2,6,38],[2,7,62],[3,4,35],[3,5,66],[3,7,96],[4,5,43],[4,6,53],[4,7,91],[5,6,59],[5,7,21],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,2)\",\"Add (0,7)\",\"Add (2,3)\",\"Add (5,7)\",\"Add (0,4)\",\"Add (2,6)\"],\"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\":[[0,1,65],[0,2,80],[0,3,52],[0,4,28],[0,5,73],[0,6,58],[0,7,12],[1,2,4],[1,3,19],[1,4,82],[1,5,3],[1,6,64],[1,7,23],[2,3,16],[2,4,89],[2,5,7],[2,6,38],[2,7,62],[3,4,35],[3,5,66],[3,7,96],[4,5,43],[4,6,53],[4,7,91],[5,6,59],[5,7,21],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (1,2)=4, w=7\",\"Add (0,7)=12, w=19\",\"Add (2,3)=16, w=35\",\"Add (5,7)=21, w=56\",\"Add (0,4)=28, w=84\",\"Add (2,6)=38, 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\":[[0,1,65],[0,2,80],[0,3,52],[0,4,28],[0,5,73],[0,6,58],[0,7,12],[1,2,4],[1,3,19],[1,4,82],[1,5,3],[1,6,64],[1,7,23],[2,3,16],[2,4,89],[2,5,7],[2,6,38],[2,7,62],[3,4,35],[3,5,66],[3,7,96],[4,5,43],[4,6,53],[4,7,91],[5,6,59],[5,7,21],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (1,2)=4 Succeeded, w=7\",\"Add (2,5)=7 Failed, w=7\",\"Add (0,7)=12 Succeeded, w=19\",\"Add (2,3)=16 Succeeded, w=35\",\"Add (1,3)=19 Failed, w=35\",\"Add (5,7)=21 Succeeded, w=56\",\"Add (1,7)=23 Failed, w=56\",\"Add (0,4)=28 Succeeded, w=84\",\"Add (3,4)=35 Failed, w=84\",\"Add (2,6)=38 Succeeded, w=122\",\"Add (4,5)=43 Failed, w=122\",\"Add (0,3)=52 Failed, w=122\",\"Add (4,6)=53 Failed, w=122\",\"Add (0,6)=58 Failed, w=122\",\"Add (5,6)=59 Failed, w=122\",\"Add (2,7)=62 Failed, w=122\",\"Add (1,6)=64 Failed, w=122\",\"Add (0,1)=65 Failed, w=122\",\"Add (3,5)=66 Failed, w=122\",\"Add (6,7)=70 Failed, w=122\",\"Add (0,5)=73 Failed, w=122\",\"Add (0,2)=80 Failed, w=122\",\"Add (1,4)=82 Failed, w=122\",\"Add (2,4)=89 Failed, w=122\",\"Add (4,7)=91 Failed, w=122\",\"Add (3,7)=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\":[[0,1,65],[0,2,80],[0,3,52],[0,4,28],[0,5,73],[0,6,58],[0,7,12],[1,2,4],[1,3,19],[1,4,82],[1,5,3],[1,6,64],[1,7,23],[2,3,16],[2,4,89],[2,5,7],[2,6,38],[2,7,62],[3,4,35],[3,5,66],[3,7,96],[4,5,43],[4,6,53],[4,7,91],[5,6,59],[5,7,21],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(1,2)=4,(2,5)=7,(0,7)=12,(2,3)=16,(1,3)=19,(5,7)=21,(1,7)=23,(0,4)=28,(3,4)=35,(2,6)=38,(4,5)=43,(0,3)=52,(4,6)=53,(0,6)=58,(5,6)=59,(2,7)=62,(1,6)=64,(0,1)=65,(3,5)=66,(6,7)=70,(0,5)=73,(0,2)=80,(1,4)=82,(2,4)=89,(4,7)=91,(3,7)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=7\",\"Find(2)=1, Find(5)=1, Add (2,5)=7 Failed, w=7\",\"Find(0)=0, Find(7)=7, Add (0,7)=12 Succeeded, w=19\",\"Find(2)=1, Find(3)=3, Add (2,3)=16 Succeeded, w=35\",\"Find(1)=1, Find(3)=1, Add (1,3)=19 Failed, w=35\",\"Find(5)=1, Find(7)=0, Add (5,7)=21 Succeeded, w=56\",\"Find(1)=1, Find(7)=1, Add (1,7)=23 Failed, w=56\",\"Find(0)=1, Find(4)=4, Add (0,4)=28 Succeeded, w=84\",\"Find(3)=1, Find(4)=1, Add (3,4)=35 Failed, w=84\",\"Find(2)=1, Find(6)=6, Add (2,6)=38 Succeeded, w=122\",\"Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=122\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=122\",\"Find(4)=1, Find(6)=1, Add (4,6)=53 Failed, w=122\",\"Find(0)=1, Find(6)=1, Add (0,6)=58 Failed, w=122\",\"Find(5)=1, Find(6)=1, Add (5,6)=59 Failed, w=122\",\"Find(2)=1, Find(7)=1, Add (2,7)=62 Failed, w=122\",\"Find(1)=1, Find(6)=1, Add (1,6)=64 Failed, w=122\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=122\",\"Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=122\",\"Find(6)=1, Find(7)=1, Add (6,7)=70 Failed, w=122\",\"Find(0)=1, Find(5)=1, Add (0,5)=73 Failed, w=122\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=122\",\"Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=122\",\"Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=122\",\"Find(4)=1, Find(7)=1, Add (4,7)=91 Failed, w=122\",\"Find(3)=1, Find(7)=1, Add (3,7)=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\":[[0,1,65],[0,2,80],[0,3,52],[0,4,28],[0,5,73],[0,6,58],[0,7,12],[1,2,4],[1,3,19],[1,4,82],[1,5,3],[1,6,64],[1,7,23],[2,3,16],[2,4,89],[2,5,7],[2,6,38],[2,7,62],[3,4,35],[3,5,66],[3,7,96],[4,5,43],[4,6,53],[4,7,91],[5,6,59],[5,7,21],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(1,2)=4,(2,5)=7,(0,7)=12,(2,3)=16,(1,3)=19,(5,7)=21,(1,7)=23,(0,4)=28,(3,4)=35,(2,6)=38,(4,5)=43,(0,3)=52,(4,6)=53,(0,6)=58,(5,6)=59,(2,7)=62,(1,6)=64,(0,1)=65,(3,5)=66,(6,7)=70,(0,5)=73,(0,2)=80,(1,4)=82,(2,4)=89,(4,7)=91,(3,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(2)=1, Find(5)=1, Add (2,5)=7 Failed, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 0}, Find(2)=1, Find(3)=3, Add (2,3)=16 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(3)=1, Add (1,3)=19 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 0}, Find(5)=1, Find(7)=0, Add (5,7)=21 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=23 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(4)=4, Add (0,4)=28 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=35 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=38 Succeeded, w=122\",\"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)=43 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=122\",\"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)=53 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=58 Failed, w=122\",\"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)=59 Failed, w=122\",\"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)=62 Failed, w=122\",\"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)=64 Failed, w=122\",\"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)=65 Failed, w=122\",\"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)=66 Failed, w=122\",\"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)=70 Failed, w=122\",\"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)=73 Failed, w=122\",\"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=122\",\"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)=82 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=122\",\"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)=91 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,16],[1,2,98],[2,4,9],[3,4,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,16],[1,2,98],[2,4,9],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,16],[1,2,98],[2,4,9],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,16],[1,2,98],[2,4,9],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9, w=9\",\"Add (0,2)=16, w=25\",\"Add (0,1)=29, w=54\",\"Add (3,4)=43, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,16],[1,2,98],[2,4,9],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9 Succeeded, w=9\",\"Add (0,2)=16 Succeeded, w=25\",\"Add (0,1)=29 Succeeded, w=54\",\"Add (3,4)=43 Succeeded, w=97\",\"Add (1,2)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,16],[1,2,98],[2,4,9],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(0,2)=16,(0,1)=29,(3,4)=43,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=25\",\"Find(0)=2, Find(1)=1, Add (0,1)=29 Succeeded, w=54\",\"Find(3)=3, Find(4)=2, Add (3,4)=43 Succeeded, w=97\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,16],[1,2,98],[2,4,9],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(0,2)=16,(0,1)=29,(3,4)=43,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=29 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=43 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,12],[0,2,29],[0,3,20],[1,2,6],[1,3,71],[2,3,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,20],[1,2,6],[1,3,71],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,20],[1,2,6],[1,3,71],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,20],[1,2,6],[1,3,71],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (0,1)=12, w=18\",\"Add (0,3)=20, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,20],[1,2,6],[1,3,71],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (0,1)=12 Succeeded, w=18\",\"Add (0,3)=20 Succeeded, w=38\",\"Add (0,2)=29 Failed, w=38\",\"Add (2,3)=68 Failed, w=38\",\"Add (1,3)=71 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,20],[1,2,6],[1,3,71],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,1)=12,(0,3)=20,(0,2)=29,(2,3)=68,(1,3)=71]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=18\",\"Find(0)=1, Find(3)=3, Add (0,3)=20 Succeeded, w=38\",\"Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=38\",\"Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=38\",\"Find(1)=1, Find(3)=1, Add (1,3)=71 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,29],[0,3,20],[1,2,6],[1,3,71],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,1)=12,(0,3)=20,(0,2)=29,(2,3)=68,(1,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=20 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=71 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,3,62],[0,4,62],[2,3,11],[2,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,62],[0,4,62],[2,3,11],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,62],[0,4,62],[2,3,11],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,62],[0,4,62],[2,3,11],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (2,4)=55, w=66\",\"Add (0,3)=62, w=128\",\"Add (0,1)=96, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,62],[0,4,62],[2,3,11],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (2,4)=55 Succeeded, w=66\",\"Add (0,3)=62 Succeeded, w=128\",\"Add (0,4)=62 Failed, w=128\",\"Add (0,1)=96 Succeeded, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,62],[0,4,62],[2,3,11],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(2,4)=55,(0,3)=62,(0,4)=62,(0,1)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=55 Succeeded, w=66\",\"Find(0)=0, Find(3)=2, Add (0,3)=62 Succeeded, w=128\",\"Find(0)=2, Find(4)=2, Add (0,4)=62 Failed, w=128\",\"Find(0)=2, Find(1)=1, Add (0,1)=96 Succeeded, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,62],[0,4,62],[2,3,11],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(2,4)=55,(0,3)=62,(0,4)=62,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=55 Succeeded, w=66\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=62 Succeeded, w=128\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=62 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=96 Succeeded, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,95],[0,3,28],[1,2,4],[1,3,2],[2,3,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,28],[1,2,4],[1,3,2],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,28],[1,2,4],[1,3,2],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,28],[1,2,4],[1,3,2],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (1,2)=4, w=6\",\"Add (0,3)=28, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,28],[1,2,4],[1,3,2],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (1,2)=4 Succeeded, w=6\",\"Add (0,3)=28 Succeeded, w=34\",\"Add (2,3)=43 Failed, w=34\",\"Add (0,1)=95 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,28],[1,2,4],[1,3,2],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,2)=4,(0,3)=28,(2,3)=43,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=6\",\"Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=34\",\"Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=34\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,28],[1,2,4],[1,3,2],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,2)=4,(0,3)=28,(2,3)=43,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,61],[0,3,89],[0,4,37],[0,5,89],[0,6,66],[0,7,46],[1,2,92],[1,3,43],[1,4,16],[1,6,69],[1,7,8],[2,3,56],[2,4,47],[2,5,4],[2,6,98],[2,7,84],[3,4,22],[3,5,21],[3,6,75],[3,7,52],[4,5,33],[4,6,70],[4,7,47],[5,6,70],[5,7,77],[6,7,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,3,89],[0,4,37],[0,5,89],[0,6,66],[0,7,46],[1,2,92],[1,3,43],[1,4,16],[1,6,69],[1,7,8],[2,3,56],[2,4,47],[2,5,4],[2,6,98],[2,7,84],[3,4,22],[3,5,21],[3,6,75],[3,7,52],[4,5,33],[4,6,70],[4,7,47],[5,6,70],[5,7,77],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,3,89],[0,4,37],[0,5,89],[0,6,66],[0,7,46],[1,2,92],[1,3,43],[1,4,16],[1,6,69],[1,7,8],[2,3,56],[2,4,47],[2,5,4],[2,6,98],[2,7,84],[3,4,22],[3,5,21],[3,6,75],[3,7,52],[4,5,33],[4,6,70],[4,7,47],[5,6,70],[5,7,77],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,7)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (0,6)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,3,89],[0,4,37],[0,5,89],[0,6,66],[0,7,46],[1,2,92],[1,3,43],[1,4,16],[1,6,69],[1,7,8],[2,3,56],[2,4,47],[2,5,4],[2,6,98],[2,7,84],[3,4,22],[3,5,21],[3,6,75],[3,7,52],[4,5,33],[4,6,70],[4,7,47],[5,6,70],[5,7,77],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (1,7)=8, w=12\",\"Add (1,4)=16, w=28\",\"Add (3,5)=21, w=49\",\"Add (3,4)=22, w=71\",\"Add (0,4)=37, w=108\",\"Add (0,6)=66, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,3,89],[0,4,37],[0,5,89],[0,6,66],[0,7,46],[1,2,92],[1,3,43],[1,4,16],[1,6,69],[1,7,8],[2,3,56],[2,4,47],[2,5,4],[2,6,98],[2,7,84],[3,4,22],[3,5,21],[3,6,75],[3,7,52],[4,5,33],[4,6,70],[4,7,47],[5,6,70],[5,7,77],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (1,7)=8 Succeeded, w=12\",\"Add (1,4)=16 Succeeded, w=28\",\"Add (3,5)=21 Succeeded, w=49\",\"Add (3,4)=22 Succeeded, w=71\",\"Add (4,5)=33 Failed, w=71\",\"Add (0,4)=37 Succeeded, w=108\",\"Add (1,3)=43 Failed, w=108\",\"Add (0,7)=46 Failed, w=108\",\"Add (2,4)=47 Failed, w=108\",\"Add (4,7)=47 Failed, w=108\",\"Add (3,7)=52 Failed, w=108\",\"Add (2,3)=56 Failed, w=108\",\"Add (0,1)=61 Failed, w=108\",\"Add (0,6)=66 Succeeded, w=174\",\"Add (1,6)=69 Failed, w=174\",\"Add (4,6)=70 Failed, w=174\",\"Add (5,6)=70 Failed, w=174\",\"Add (3,6)=75 Failed, w=174\",\"Add (5,7)=77 Failed, w=174\",\"Add (6,7)=81 Failed, w=174\",\"Add (2,7)=84 Failed, w=174\",\"Add (0,3)=89 Failed, w=174\",\"Add (0,5)=89 Failed, w=174\",\"Add (1,2)=92 Failed, w=174\",\"Add (2,6)=98 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,3,89],[0,4,37],[0,5,89],[0,6,66],[0,7,46],[1,2,92],[1,3,43],[1,4,16],[1,6,69],[1,7,8],[2,3,56],[2,4,47],[2,5,4],[2,6,98],[2,7,84],[3,4,22],[3,5,21],[3,6,75],[3,7,52],[4,5,33],[4,6,70],[4,7,47],[5,6,70],[5,7,77],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(1,7)=8,(1,4)=16,(3,5)=21,(3,4)=22,(4,5)=33,(0,4)=37,(1,3)=43,(0,7)=46,(2,4)=47,(4,7)=47,(3,7)=52,(2,3)=56,(0,1)=61,(0,6)=66,(1,6)=69,(4,6)=70,(5,6)=70,(3,6)=75,(5,7)=77,(6,7)=81,(2,7)=84,(0,3)=89,(0,5)=89,(1,2)=92,(2,6)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(7)=7, Add (1,7)=8 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=28\",\"Find(3)=3, Find(5)=2, Add (3,5)=21 Succeeded, w=49\",\"Find(3)=2, Find(4)=1, Add (3,4)=22 Succeeded, w=71\",\"Find(4)=2, Find(5)=2, Add (4,5)=33 Failed, w=71\",\"Find(0)=0, Find(4)=2, Add (0,4)=37 Succeeded, w=108\",\"Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=108\",\"Find(0)=2, Find(7)=2, Add (0,7)=46 Failed, w=108\",\"Find(2)=2, Find(4)=2, Add (2,4)=47 Failed, w=108\",\"Find(4)=2, Find(7)=2, Add (4,7)=47 Failed, w=108\",\"Find(3)=2, Find(7)=2, Add (3,7)=52 Failed, w=108\",\"Find(2)=2, Find(3)=2, Add (2,3)=56 Failed, w=108\",\"Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=108\",\"Find(0)=2, Find(6)=6, Add (0,6)=66 Succeeded, w=174\",\"Find(1)=2, Find(6)=2, Add (1,6)=69 Failed, w=174\",\"Find(4)=2, Find(6)=2, Add (4,6)=70 Failed, w=174\",\"Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=174\",\"Find(3)=2, Find(6)=2, Add (3,6)=75 Failed, w=174\",\"Find(5)=2, Find(7)=2, Add (5,7)=77 Failed, w=174\",\"Find(6)=2, Find(7)=2, Add (6,7)=81 Failed, w=174\",\"Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=174\",\"Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=174\",\"Find(0)=2, Find(5)=2, Add (0,5)=89 Failed, w=174\",\"Find(1)=2, Find(2)=2, Add (1,2)=92 Failed, w=174\",\"Find(2)=2, Find(6)=2, Add (2,6)=98 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,3,89],[0,4,37],[0,5,89],[0,6,66],[0,7,46],[1,2,92],[1,3,43],[1,4,16],[1,6,69],[1,7,8],[2,3,56],[2,4,47],[2,5,4],[2,6,98],[2,7,84],[3,4,22],[3,5,21],[3,6,75],[3,7,52],[4,5,33],[4,6,70],[4,7,47],[5,6,70],[5,7,77],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(1,7)=8,(1,4)=16,(3,5)=21,(3,4)=22,(4,5)=33,(0,4)=37,(1,3)=43,(0,7)=46,(2,4)=47,(4,7)=47,(3,7)=52,(2,3)=56,(0,1)=61,(0,6)=66,(1,6)=69,(4,6)=70,(5,6)=70,(3,6)=75,(5,7)=77,(6,7)=81,(2,7)=84,(0,3)=89,(0,5)=89,(1,2)=92,(2,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 6, 7: 1}, Find(3)=3, Find(5)=2, Add (3,5)=21 Succeeded, w=49\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 6, 7: 1}, Find(3)=2, Find(4)=1, Add (3,4)=22 Succeeded, w=71\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 1}, Find(4)=2, Find(5)=2, Add (4,5)=33 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 1}, Find(0)=0, Find(4)=2, Add (0,4)=37 Succeeded, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 1}, Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=46 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=47 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=47 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=52 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=56 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=6, Add (0,6)=66 Succeeded, w=174\",\"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)=69 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=70 Failed, w=174\",\"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)=70 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=75 Failed, w=174\",\"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)=77 Failed, w=174\",\"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)=81 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=174\",\"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)=89 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=89 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=92 Failed, w=174\",\"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)=98 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,4,92],[0,5,31],[0,6,25],[0,7,0],[1,2,32],[1,3,57],[1,4,12],[1,5,47],[1,7,55],[2,5,87],[2,6,62],[2,7,48],[3,4,87],[3,5,11],[3,6,12],[4,6,62],[5,7,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,4,92],[0,5,31],[0,6,25],[0,7,0],[1,2,32],[1,3,57],[1,4,12],[1,5,47],[1,7,55],[2,5,87],[2,6,62],[2,7,48],[3,4,87],[3,5,11],[3,6,12],[4,6,62],[5,7,76]]}",
"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\":[[0,1,51],[0,4,92],[0,5,31],[0,6,25],[0,7,0],[1,2,32],[1,3,57],[1,4,12],[1,5,47],[1,7,55],[2,5,87],[2,6,62],[2,7,48],[3,4,87],[3,5,11],[3,6,12],[4,6,62],[5,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (1,5)\"],\"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\":[[0,1,51],[0,4,92],[0,5,31],[0,6,25],[0,7,0],[1,2,32],[1,3,57],[1,4,12],[1,5,47],[1,7,55],[2,5,87],[2,6,62],[2,7,48],[3,4,87],[3,5,11],[3,6,12],[4,6,62],[5,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0, w=0\",\"Add (3,5)=11, w=11\",\"Add (1,4)=12, w=23\",\"Add (3,6)=12, w=35\",\"Add (0,6)=25, w=60\",\"Add (1,2)=32, w=92\",\"Add (1,5)=47, 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\":[[0,1,51],[0,4,92],[0,5,31],[0,6,25],[0,7,0],[1,2,32],[1,3,57],[1,4,12],[1,5,47],[1,7,55],[2,5,87],[2,6,62],[2,7,48],[3,4,87],[3,5,11],[3,6,12],[4,6,62],[5,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0 Succeeded, w=0\",\"Add (3,5)=11 Succeeded, w=11\",\"Add (1,4)=12 Succeeded, w=23\",\"Add (3,6)=12 Succeeded, w=35\",\"Add (0,6)=25 Succeeded, w=60\",\"Add (0,5)=31 Failed, w=60\",\"Add (1,2)=32 Succeeded, w=92\",\"Add (1,5)=47 Succeeded, w=139\",\"Add (2,7)=48 Failed, w=139\",\"Add (0,1)=51 Failed, w=139\",\"Add (1,7)=55 Failed, w=139\",\"Add (1,3)=57 Failed, w=139\",\"Add (2,6)=62 Failed, w=139\",\"Add (4,6)=62 Failed, w=139\",\"Add (5,7)=76 Failed, w=139\",\"Add (2,5)=87 Failed, w=139\",\"Add (3,4)=87 Failed, w=139\",\"Add (0,4)=92 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\":[[0,1,51],[0,4,92],[0,5,31],[0,6,25],[0,7,0],[1,2,32],[1,3,57],[1,4,12],[1,5,47],[1,7,55],[2,5,87],[2,6,62],[2,7,48],[3,4,87],[3,5,11],[3,6,12],[4,6,62],[5,7,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(3,5)=11,(1,4)=12,(3,6)=12,(0,6)=25,(0,5)=31,(1,2)=32,(1,5)=47,(2,7)=48,(0,1)=51,(1,7)=55,(1,3)=57,(2,6)=62,(4,6)=62,(5,7)=76,(2,5)=87,(3,4)=87,(0,4)=92]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=23\",\"Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=35\",\"Find(0)=0, Find(6)=3, Add (0,6)=25 Succeeded, w=60\",\"Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=92\",\"Find(1)=1, Find(5)=0, Add (1,5)=47 Succeeded, w=139\",\"Find(2)=0, Find(7)=0, Add (2,7)=48 Failed, w=139\",\"Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=139\",\"Find(1)=0, Find(7)=0, Add (1,7)=55 Failed, w=139\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=139\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=139\",\"Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=139\",\"Find(5)=0, Find(7)=0, Add (5,7)=76 Failed, w=139\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=139\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 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\":[[0,1,51],[0,4,92],[0,5,31],[0,6,25],[0,7,0],[1,2,32],[1,3,57],[1,4,12],[1,5,47],[1,7,55],[2,5,87],[2,6,62],[2,7,48],[3,4,87],[3,5,11],[3,6,12],[4,6,62],[5,7,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(3,5)=11,(1,4)=12,(3,6)=12,(0,6)=25,(0,5)=31,(1,2)=32,(1,5)=47,(2,7)=48,(0,1)=51,(1,7)=55,(1,3)=57,(2,6)=62,(4,6)=62,(5,7)=76,(2,5)=87,(3,4)=87,(0,4)=92]\",\"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: 3, 6: 6, 7: 0}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 3, 6: 3, 7: 0}, Find(0)=0, Find(6)=3, Add (0,6)=25 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 3, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 3, 7: 0}, Find(1)=1, Find(5)=0, Add (1,5)=47 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 3, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=48 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=55 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 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)=62 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)=76 Failed, w=139\",\"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)=87 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)=87 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)=92 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,75],[0,4,22],[0,5,15],[0,7,86],[1,4,85],[1,5,32],[1,6,55],[1,7,53],[3,4,12],[3,5,29],[3,6,49],[3,7,71],[4,5,35],[4,6,82],[4,7,47],[5,6,11],[6,7,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,22],[0,5,15],[0,7,86],[1,4,85],[1,5,32],[1,6,55],[1,7,53],[3,4,12],[3,5,29],[3,6,49],[3,7,71],[4,5,35],[4,6,82],[4,7,47],[5,6,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,22],[0,5,15],[0,7,86],[1,4,85],[1,5,32],[1,6,55],[1,7,53],[3,4,12],[3,5,29],[3,6,49],[3,7,71],[4,5,35],[4,6,82],[4,7,47],[5,6,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (4,7)\",\"Add (0,2)\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,22],[0,5,15],[0,7,86],[1,4,85],[1,5,32],[1,6,55],[1,7,53],[3,4,12],[3,5,29],[3,6,49],[3,7,71],[4,5,35],[4,6,82],[4,7,47],[5,6,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=11, w=11\",\"Add (3,4)=12, w=23\",\"Add (0,5)=15, w=38\",\"Add (0,4)=22, w=60\",\"Add (1,5)=32, w=92\",\"Add (4,7)=47, w=139\",\"Add (0,2)=75, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,22],[0,5,15],[0,7,86],[1,4,85],[1,5,32],[1,6,55],[1,7,53],[3,4,12],[3,5,29],[3,6,49],[3,7,71],[4,5,35],[4,6,82],[4,7,47],[5,6,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=11 Succeeded, w=11\",\"Add (3,4)=12 Succeeded, w=23\",\"Add (0,5)=15 Succeeded, w=38\",\"Add (0,4)=22 Succeeded, w=60\",\"Add (3,5)=29 Failed, w=60\",\"Add (1,5)=32 Succeeded, w=92\",\"Add (4,5)=35 Failed, w=92\",\"Add (4,7)=47 Succeeded, w=139\",\"Add (3,6)=49 Failed, w=139\",\"Add (1,7)=53 Failed, w=139\",\"Add (1,6)=55 Failed, w=139\",\"Add (3,7)=71 Failed, w=139\",\"Add (0,2)=75 Succeeded, w=214\",\"Add (6,7)=78 Failed, w=214\",\"Add (4,6)=82 Failed, w=214\",\"Add (1,4)=85 Failed, w=214\",\"Add (0,7)=86 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,22],[0,5,15],[0,7,86],[1,4,85],[1,5,32],[1,6,55],[1,7,53],[3,4,12],[3,5,29],[3,6,49],[3,7,71],[4,5,35],[4,6,82],[4,7,47],[5,6,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=11,(3,4)=12,(0,5)=15,(0,4)=22,(3,5)=29,(1,5)=32,(4,5)=35,(4,7)=47,(3,6)=49,(1,7)=53,(1,6)=55,(3,7)=71,(0,2)=75,(6,7)=78,(4,6)=82,(1,4)=85,(0,7)=86]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=23\",\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=38\",\"Find(0)=5, Find(4)=3, Add (0,4)=22 Succeeded, w=60\",\"Find(3)=5, Find(5)=5, Add (3,5)=29 Failed, w=60\",\"Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=92\",\"Find(4)=5, Find(5)=5, Add (4,5)=35 Failed, w=92\",\"Find(4)=5, Find(7)=7, Add (4,7)=47 Succeeded, w=139\",\"Find(3)=5, Find(6)=5, Add (3,6)=49 Failed, w=139\",\"Find(1)=5, Find(7)=5, Add (1,7)=53 Failed, w=139\",\"Find(1)=5, Find(6)=5, Add (1,6)=55 Failed, w=139\",\"Find(3)=5, Find(7)=5, Add (3,7)=71 Failed, w=139\",\"Find(0)=5, Find(2)=2, Add (0,2)=75 Succeeded, w=214\",\"Find(6)=5, Find(7)=5, Add (6,7)=78 Failed, w=214\",\"Find(4)=5, Find(6)=5, Add (4,6)=82 Failed, w=214\",\"Find(1)=5, Find(4)=5, Add (1,4)=85 Failed, w=214\",\"Find(0)=5, Find(7)=5, Add (0,7)=86 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,22],[0,5,15],[0,7,86],[1,4,85],[1,5,32],[1,6,55],[1,7,53],[3,4,12],[3,5,29],[3,6,49],[3,7,71],[4,5,35],[4,6,82],[4,7,47],[5,6,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=11,(3,4)=12,(0,5)=15,(0,4)=22,(3,5)=29,(1,5)=32,(4,5)=35,(4,7)=47,(3,6)=49,(1,7)=53,(1,6)=55,(3,7)=71,(0,2)=75,(6,7)=78,(4,6)=82,(1,4)=85,(0,7)=86]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=23\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=38\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 3, 5: 5, 6: 5, 7: 7}, Find(0)=5, Find(4)=3, Add (0,4)=22 Succeeded, w=60\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 3, 5: 5, 6: 5, 7: 7}, Find(3)=5, Find(5)=5, Add (3,5)=29 Failed, w=60\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 3, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=92\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=5, Find(5)=5, Add (4,5)=35 Failed, w=92\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=7, Add (4,7)=47 Succeeded, w=139\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=49 Failed, w=139\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=53 Failed, w=139\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=55 Failed, w=139\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=71 Failed, w=139\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=2, Add (0,2)=75 Succeeded, w=214\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=78 Failed, w=214\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(6)=5, Add (4,6)=82 Failed, w=214\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=85 Failed, w=214\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=86 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,31],[0,3,11],[0,4,97],[0,6,29],[1,2,98],[1,4,68],[1,5,36],[1,7,92],[2,5,74],[2,6,82],[3,4,37],[3,5,42],[4,5,86],[5,7,49],[6,7,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,11],[0,4,97],[0,6,29],[1,2,98],[1,4,68],[1,5,36],[1,7,92],[2,5,74],[2,6,82],[3,4,37],[3,5,42],[4,5,86],[5,7,49],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,11],[0,4,97],[0,6,29],[1,2,98],[1,4,68],[1,5,36],[1,7,92],[2,5,74],[2,6,82],[3,4,37],[3,5,42],[4,5,86],[5,7,49],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (5,7)\",\"Add (2,5)\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,11],[0,4,97],[0,6,29],[1,2,98],[1,4,68],[1,5,36],[1,7,92],[2,5,74],[2,6,82],[3,4,37],[3,5,42],[4,5,86],[5,7,49],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (0,6)=29, w=40\",\"Add (0,1)=31, w=71\",\"Add (1,5)=36, w=107\",\"Add (3,4)=37, w=144\",\"Add (5,7)=49, w=193\",\"Add (2,5)=74, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,11],[0,4,97],[0,6,29],[1,2,98],[1,4,68],[1,5,36],[1,7,92],[2,5,74],[2,6,82],[3,4,37],[3,5,42],[4,5,86],[5,7,49],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (0,6)=29 Succeeded, w=40\",\"Add (0,1)=31 Succeeded, w=71\",\"Add (1,5)=36 Succeeded, w=107\",\"Add (3,4)=37 Succeeded, w=144\",\"Add (3,5)=42 Failed, w=144\",\"Add (5,7)=49 Succeeded, w=193\",\"Add (6,7)=58 Failed, w=193\",\"Add (1,4)=68 Failed, w=193\",\"Add (2,5)=74 Succeeded, w=267\",\"Add (2,6)=82 Failed, w=267\",\"Add (4,5)=86 Failed, w=267\",\"Add (1,7)=92 Failed, w=267\",\"Add (0,4)=97 Failed, w=267\",\"Add (1,2)=98 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,11],[0,4,97],[0,6,29],[1,2,98],[1,4,68],[1,5,36],[1,7,92],[2,5,74],[2,6,82],[3,4,37],[3,5,42],[4,5,86],[5,7,49],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,6)=29,(0,1)=31,(1,5)=36,(3,4)=37,(3,5)=42,(5,7)=49,(6,7)=58,(1,4)=68,(2,5)=74,(2,6)=82,(4,5)=86,(1,7)=92,(0,4)=97,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(6)=6, Add (0,6)=29 Succeeded, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=71\",\"Find(1)=0, Find(5)=5, Add (1,5)=36 Succeeded, w=107\",\"Find(3)=0, Find(4)=4, Add (3,4)=37 Succeeded, w=144\",\"Find(3)=0, Find(5)=0, Add (3,5)=42 Failed, w=144\",\"Find(5)=0, Find(7)=7, Add (5,7)=49 Succeeded, w=193\",\"Find(6)=0, Find(7)=0, Add (6,7)=58 Failed, w=193\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=193\",\"Find(2)=2, Find(5)=0, Add (2,5)=74 Succeeded, w=267\",\"Find(2)=0, Find(6)=0, Add (2,6)=82 Failed, w=267\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=267\",\"Find(1)=0, Find(7)=0, Add (1,7)=92 Failed, w=267\",\"Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=267\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,11],[0,4,97],[0,6,29],[1,2,98],[1,4,68],[1,5,36],[1,7,92],[2,5,74],[2,6,82],[3,4,37],[3,5,42],[4,5,86],[5,7,49],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,6)=29,(0,1)=31,(1,5)=36,(3,4)=37,(3,5)=42,(5,7)=49,(6,7)=58,(1,4)=68,(2,5)=74,(2,6)=82,(4,5)=86,(1,7)=92,(0,4)=97,(1,2)=98]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=29 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=36 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(4)=4, Add (3,4)=37 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(5)=0, Add (3,5)=42 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=49 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=58 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(5)=0, Add (2,5)=74 Succeeded, w=267\",\"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)=82 Failed, w=267\",\"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=267\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=92 Failed, w=267\",\"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)=97 Failed, w=267\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,2,27],[0,3,82],[1,2,79],[1,3,100],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,27],[0,3,82],[1,2,79],[1,3,100],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,27],[0,3,82],[1,2,79],[1,3,100],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,27],[0,3,82],[1,2,79],[1,3,100],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27, w=27\",\"Add (0,1)=50, w=77\",\"Add (2,3)=69, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,27],[0,3,82],[1,2,79],[1,3,100],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27 Succeeded, w=27\",\"Add (0,1)=50 Succeeded, w=77\",\"Add (2,3)=69 Succeeded, w=146\",\"Add (1,2)=79 Failed, w=146\",\"Add (0,3)=82 Failed, w=146\",\"Add (1,3)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,27],[0,3,82],[1,2,79],[1,3,100],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(0,1)=50,(2,3)=69,(1,2)=79,(0,3)=82,(1,3)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=77\",\"Find(2)=0, Find(3)=3, Add (2,3)=69 Succeeded, w=146\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=146\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=146\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,27],[0,3,82],[1,2,79],[1,3,100],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(0,1)=50,(2,3)=69,(1,2)=79,(0,3)=82,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=69 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,76],[0,2,69],[0,4,85],[0,5,53],[1,2,50],[1,5,28],[2,4,77],[2,5,2],[3,5,46],[4,5,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,69],[0,4,85],[0,5,53],[1,2,50],[1,5,28],[2,4,77],[2,5,2],[3,5,46],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,69],[0,4,85],[0,5,53],[1,2,50],[1,5,28],[2,4,77],[2,5,2],[3,5,46],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (0,5)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,69],[0,4,85],[0,5,53],[1,2,50],[1,5,28],[2,4,77],[2,5,2],[3,5,46],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (1,5)=28, w=30\",\"Add (3,5)=46, w=76\",\"Add (4,5)=48, w=124\",\"Add (0,5)=53, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,69],[0,4,85],[0,5,53],[1,2,50],[1,5,28],[2,4,77],[2,5,2],[3,5,46],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (1,5)=28 Succeeded, w=30\",\"Add (3,5)=46 Succeeded, w=76\",\"Add (4,5)=48 Succeeded, w=124\",\"Add (1,2)=50 Failed, w=124\",\"Add (0,5)=53 Succeeded, w=177\",\"Add (0,2)=69 Failed, w=177\",\"Add (0,1)=76 Failed, w=177\",\"Add (2,4)=77 Failed, w=177\",\"Add (0,4)=85 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,69],[0,4,85],[0,5,53],[1,2,50],[1,5,28],[2,4,77],[2,5,2],[3,5,46],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(1,5)=28,(3,5)=46,(4,5)=48,(1,2)=50,(0,5)=53,(0,2)=69,(0,1)=76,(2,4)=77,(0,4)=85]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=2, Add (1,5)=28 Succeeded, w=30\",\"Find(3)=3, Find(5)=2, Add (3,5)=46 Succeeded, w=76\",\"Find(4)=4, Find(5)=2, Add (4,5)=48 Succeeded, w=124\",\"Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=124\",\"Find(0)=0, Find(5)=2, Add (0,5)=53 Succeeded, w=177\",\"Find(0)=2, Find(2)=2, Add (0,2)=69 Failed, w=177\",\"Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=177\",\"Find(2)=2, Find(4)=2, Add (2,4)=77 Failed, w=177\",\"Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,69],[0,4,85],[0,5,53],[1,2,50],[1,5,28],[2,4,77],[2,5,2],[3,5,46],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(1,5)=28,(3,5)=46,(4,5)=48,(1,2)=50,(0,5)=53,(0,2)=69,(0,1)=76,(2,4)=77,(0,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=28 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=46 Succeeded, w=76\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=48 Succeeded, w=124\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=53 Succeeded, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=69 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=77 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,62],[1,2,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,62],[1,2,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,62],[1,2,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,62],[1,2,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=62, w=62\",\"Add (1,2)=96, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,62],[1,2,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=62 Succeeded, w=62\",\"Add (1,2)=96 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,62],[1,2,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=62,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=62\",\"Find(1)=1, Find(2)=0, Add (1,2)=96 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,62],[1,2,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=62,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=96 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,66],[0,2,33],[1,2,34],[1,3,90],[2,3,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[1,2,34],[1,3,90],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[1,2,34],[1,3,90],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[1,2,34],[1,3,90],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20, w=20\",\"Add (0,2)=33, w=53\",\"Add (1,2)=34, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[1,2,34],[1,3,90],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20 Succeeded, w=20\",\"Add (0,2)=33 Succeeded, w=53\",\"Add (1,2)=34 Succeeded, w=87\",\"Add (0,1)=66 Failed, w=87\",\"Add (1,3)=90 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[1,2,34],[1,3,90],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(0,2)=33,(1,2)=34,(0,1)=66,(1,3)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=53\",\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=87\",\"Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=87\",\"Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[1,2,34],[1,3,90],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(0,2)=33,(1,2)=34,(0,1)=66,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,85],[0,2,16],[0,3,46],[0,4,91],[1,2,52],[1,3,52],[1,4,83],[1,5,60],[2,3,53],[2,5,67],[3,4,12],[3,5,40],[4,5,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,16],[0,3,46],[0,4,91],[1,2,52],[1,3,52],[1,4,83],[1,5,60],[2,3,53],[2,5,67],[3,4,12],[3,5,40],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,16],[0,3,46],[0,4,91],[1,2,52],[1,3,52],[1,4,83],[1,5,60],[2,3,53],[2,5,67],[3,4,12],[3,5,40],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,16],[0,3,46],[0,4,91],[1,2,52],[1,3,52],[1,4,83],[1,5,60],[2,3,53],[2,5,67],[3,4,12],[3,5,40],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12, w=12\",\"Add (0,2)=16, w=28\",\"Add (3,5)=40, w=68\",\"Add (0,3)=46, w=114\",\"Add (1,2)=52, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,16],[0,3,46],[0,4,91],[1,2,52],[1,3,52],[1,4,83],[1,5,60],[2,3,53],[2,5,67],[3,4,12],[3,5,40],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12 Succeeded, w=12\",\"Add (0,2)=16 Succeeded, w=28\",\"Add (3,5)=40 Succeeded, w=68\",\"Add (0,3)=46 Succeeded, w=114\",\"Add (1,2)=52 Succeeded, w=166\",\"Add (1,3)=52 Failed, w=166\",\"Add (2,3)=53 Failed, w=166\",\"Add (1,5)=60 Failed, w=166\",\"Add (2,5)=67 Failed, w=166\",\"Add (4,5)=81 Failed, w=166\",\"Add (1,4)=83 Failed, w=166\",\"Add (0,1)=85 Failed, w=166\",\"Add (0,4)=91 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,16],[0,3,46],[0,4,91],[1,2,52],[1,3,52],[1,4,83],[1,5,60],[2,3,53],[2,5,67],[3,4,12],[3,5,40],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(0,2)=16,(3,5)=40,(0,3)=46,(1,2)=52,(1,3)=52,(2,3)=53,(1,5)=60,(2,5)=67,(4,5)=81,(1,4)=83,(0,1)=85,(0,4)=91]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=28\",\"Find(3)=3, Find(5)=5, Add (3,5)=40 Succeeded, w=68\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=114\",\"Find(1)=1, Find(2)=0, Add (1,2)=52 Succeeded, w=166\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=166\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=166\",\"Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=166\",\"Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=166\",\"Find(4)=0, Find(5)=0, Add (4,5)=81 Failed, w=166\",\"Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=166\",\"Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=166\",\"Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,16],[0,3,46],[0,4,91],[1,2,52],[1,3,52],[1,4,83],[1,5,60],[2,3,53],[2,5,67],[3,4,12],[3,5,40],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(0,2)=16,(3,5)=40,(0,3)=46,(1,2)=52,(1,3)=52,(2,3)=53,(1,5)=60,(2,5)=67,(4,5)=81,(1,4)=83,(0,1)=85,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=40 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(1)=1, Find(2)=0, Add (1,2)=52 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=81 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,73],[0,3,74],[1,2,90],[1,3,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,74],[1,2,90],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,74],[1,2,90],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,74],[1,2,90],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=73, w=73\",\"Add (0,3)=74, w=147\",\"Add (1,2)=90, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,74],[1,2,90],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=73 Succeeded, w=73\",\"Add (0,3)=74 Succeeded, w=147\",\"Add (1,3)=82 Failed, w=147\",\"Add (1,2)=90 Succeeded, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,74],[1,2,90],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=73,(0,3)=74,(1,3)=82,(1,2)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=73 Succeeded, w=73\",\"Find(0)=0, Find(3)=3, Add (0,3)=74 Succeeded, w=147\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=147\",\"Find(1)=0, Find(2)=2, Add (1,2)=90 Succeeded, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,74],[1,2,90],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=73,(0,3)=74,(1,3)=82,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=73 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=74 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=90 Succeeded, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,44],[0,3,10],[0,4,75],[1,3,91],[1,4,60],[1,5,42],[1,6,38],[2,3,56],[2,5,80],[2,6,80],[3,4,80],[3,6,51],[4,5,23],[5,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,44],[0,3,10],[0,4,75],[1,3,91],[1,4,60],[1,5,42],[1,6,38],[2,3,56],[2,5,80],[2,6,80],[3,4,80],[3,6,51],[4,5,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,44],[0,3,10],[0,4,75],[1,3,91],[1,4,60],[1,5,42],[1,6,38],[2,3,56],[2,5,80],[2,6,80],[3,4,80],[3,6,51],[4,5,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (0,2)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,44],[0,3,10],[0,4,75],[1,3,91],[1,4,60],[1,5,42],[1,6,38],[2,3,56],[2,5,80],[2,6,80],[3,4,80],[3,6,51],[4,5,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (0,3)=10, w=15\",\"Add (4,5)=23, w=38\",\"Add (1,6)=38, w=76\",\"Add (1,5)=42, w=118\",\"Add (0,2)=44, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,44],[0,3,10],[0,4,75],[1,3,91],[1,4,60],[1,5,42],[1,6,38],[2,3,56],[2,5,80],[2,6,80],[3,4,80],[3,6,51],[4,5,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (0,3)=10 Succeeded, w=15\",\"Add (4,5)=23 Succeeded, w=38\",\"Add (1,6)=38 Succeeded, w=76\",\"Add (1,5)=42 Succeeded, w=118\",\"Add (0,2)=44 Succeeded, w=162\",\"Add (3,6)=51 Failed, w=162\",\"Add (2,3)=56 Failed, w=162\",\"Add (1,4)=60 Failed, w=162\",\"Add (5,6)=62 Failed, w=162\",\"Add (0,4)=75 Failed, w=162\",\"Add (2,5)=80 Failed, w=162\",\"Add (2,6)=80 Failed, w=162\",\"Add (3,4)=80 Failed, w=162\",\"Add (1,3)=91 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,44],[0,3,10],[0,4,75],[1,3,91],[1,4,60],[1,5,42],[1,6,38],[2,3,56],[2,5,80],[2,6,80],[3,4,80],[3,6,51],[4,5,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,3)=10,(4,5)=23,(1,6)=38,(1,5)=42,(0,2)=44,(3,6)=51,(2,3)=56,(1,4)=60,(5,6)=62,(0,4)=75,(2,5)=80,(2,6)=80,(3,4)=80,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=15\",\"Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=38\",\"Find(1)=0, Find(6)=6, Add (1,6)=38 Succeeded, w=76\",\"Find(1)=0, Find(5)=4, Add (1,5)=42 Succeeded, w=118\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=162\",\"Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=162\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=162\",\"Find(1)=0, Find(4)=0, Add (1,4)=60 Failed, w=162\",\"Find(5)=0, Find(6)=0, Add (5,6)=62 Failed, w=162\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=162\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=162\",\"Find(2)=0, Find(6)=0, Add (2,6)=80 Failed, w=162\",\"Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=162\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,44],[0,3,10],[0,4,75],[1,3,91],[1,4,60],[1,5,42],[1,6,38],[2,3,56],[2,5,80],[2,6,80],[3,4,80],[3,6,51],[4,5,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,3)=10,(4,5)=23,(1,6)=38,(1,5)=42,(0,2)=44,(3,6)=51,(2,3)=56,(1,4)=60,(5,6)=62,(0,4)=75,(2,5)=80,(2,6)=80,(3,4)=80,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=38 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 0}, Find(1)=0, Find(5)=4, Add (1,5)=42 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=60 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=62 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=80 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,78],[0,3,97],[0,5,9],[1,2,75],[1,4,44],[2,5,10],[3,4,41],[3,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,3,97],[0,5,9],[1,2,75],[1,4,44],[2,5,10],[3,4,41],[3,5,54]]}",
"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\":[[0,1,78],[0,3,97],[0,5,9],[1,2,75],[1,4,44],[2,5,10],[3,4,41],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (3,5)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,3,97],[0,5,9],[1,2,75],[1,4,44],[2,5,10],[3,4,41],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=9, w=9\",\"Add (2,5)=10, w=19\",\"Add (3,4)=41, w=60\",\"Add (1,4)=44, w=104\",\"Add (3,5)=54, 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\":[[0,1,78],[0,3,97],[0,5,9],[1,2,75],[1,4,44],[2,5,10],[3,4,41],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=9 Succeeded, w=9\",\"Add (2,5)=10 Succeeded, w=19\",\"Add (3,4)=41 Succeeded, w=60\",\"Add (1,4)=44 Succeeded, w=104\",\"Add (3,5)=54 Succeeded, w=158\",\"Add (1,2)=75 Failed, w=158\",\"Add (0,1)=78 Failed, w=158\",\"Add (0,3)=97 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\":[[0,1,78],[0,3,97],[0,5,9],[1,2,75],[1,4,44],[2,5,10],[3,4,41],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=9,(2,5)=10,(3,4)=41,(1,4)=44,(3,5)=54,(1,2)=75,(0,1)=78,(0,3)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=9\",\"Find(2)=2, Find(5)=0, Add (2,5)=10 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=41 Succeeded, w=60\",\"Find(1)=1, Find(4)=3, Add (1,4)=44 Succeeded, w=104\",\"Find(3)=3, Find(5)=0, Add (3,5)=54 Succeeded, w=158\",\"Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=158\",\"Find(0)=3, Find(1)=3, Add (0,1)=78 Failed, w=158\",\"Find(0)=3, Find(3)=3, Add (0,3)=97 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\":[[0,1,78],[0,3,97],[0,5,9],[1,2,75],[1,4,44],[2,5,10],[3,4,41],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=9,(2,5)=10,(3,4)=41,(1,4)=44,(3,5)=54,(1,2)=75,(0,1)=78,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=41 Succeeded, w=60\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0}, Find(1)=1, Find(4)=3, Add (1,4)=44 Succeeded, w=104\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=54 Succeeded, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(1)=3, Add (0,1)=78 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(3)=3, Add (0,3)=97 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,11],[0,3,88],[0,4,89],[0,5,90],[1,2,10],[1,3,96],[1,4,86],[1,5,66],[2,3,92],[2,4,76],[2,6,50],[3,4,10],[3,5,32],[3,6,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,11],[0,3,88],[0,4,89],[0,5,90],[1,2,10],[1,3,96],[1,4,86],[1,5,66],[2,3,92],[2,4,76],[2,6,50],[3,4,10],[3,5,32],[3,6,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,11],[0,3,88],[0,4,89],[0,5,90],[1,2,10],[1,3,96],[1,4,86],[1,5,66],[2,3,92],[2,4,76],[2,6,50],[3,4,10],[3,5,32],[3,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (2,6)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,11],[0,3,88],[0,4,89],[0,5,90],[1,2,10],[1,3,96],[1,4,86],[1,5,66],[2,3,92],[2,4,76],[2,6,50],[3,4,10],[3,5,32],[3,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (3,4)=10, w=20\",\"Add (0,2)=11, w=31\",\"Add (3,6)=23, w=54\",\"Add (3,5)=32, w=86\",\"Add (2,6)=50, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,11],[0,3,88],[0,4,89],[0,5,90],[1,2,10],[1,3,96],[1,4,86],[1,5,66],[2,3,92],[2,4,76],[2,6,50],[3,4,10],[3,5,32],[3,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (3,4)=10 Succeeded, w=20\",\"Add (0,2)=11 Succeeded, w=31\",\"Add (3,6)=23 Succeeded, w=54\",\"Add (3,5)=32 Succeeded, w=86\",\"Add (2,6)=50 Succeeded, w=136\",\"Add (1,5)=66 Failed, w=136\",\"Add (2,4)=76 Failed, w=136\",\"Add (1,4)=86 Failed, w=136\",\"Add (0,3)=88 Failed, w=136\",\"Add (0,4)=89 Failed, w=136\",\"Add (0,5)=90 Failed, w=136\",\"Add (2,3)=92 Failed, w=136\",\"Add (1,3)=96 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,11],[0,3,88],[0,4,89],[0,5,90],[1,2,10],[1,3,96],[1,4,86],[1,5,66],[2,3,92],[2,4,76],[2,6,50],[3,4,10],[3,5,32],[3,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(3,4)=10,(0,2)=11,(3,6)=23,(3,5)=32,(2,6)=50,(1,5)=66,(2,4)=76,(1,4)=86,(0,3)=88,(0,4)=89,(0,5)=90,(2,3)=92,(1,3)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=20\",\"Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=31\",\"Find(3)=3, Find(6)=6, Add (3,6)=23 Succeeded, w=54\",\"Find(3)=3, Find(5)=5, Add (3,5)=32 Succeeded, w=86\",\"Find(2)=1, Find(6)=3, Add (2,6)=50 Succeeded, w=136\",\"Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=136\",\"Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=136\",\"Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=136\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=136\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=136\",\"Find(0)=1, Find(5)=1, Add (0,5)=90 Failed, w=136\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=136\",\"Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,11],[0,3,88],[0,4,89],[0,5,90],[1,2,10],[1,3,96],[1,4,86],[1,5,66],[2,3,92],[2,4,76],[2,6,50],[3,4,10],[3,5,32],[3,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(3,4)=10,(0,2)=11,(3,6)=23,(3,5)=32,(2,6)=50,(1,5)=66,(2,4)=76,(1,4)=86,(0,3)=88,(0,4)=89,(0,5)=90,(2,3)=92,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=23 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=32 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3, 6: 3}, Find(2)=1, Find(6)=3, Add (2,6)=50 Succeeded, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 3}, Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(5)=1, Add (0,5)=90 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,24],[0,3,89],[0,4,47],[0,6,72],[0,7,81],[1,5,11],[1,6,23],[2,3,65],[2,4,6],[2,5,36],[2,6,81],[2,7,94],[3,4,28],[3,6,12],[4,5,52],[4,7,72],[5,6,47],[5,7,90],[6,7,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,24],[0,3,89],[0,4,47],[0,6,72],[0,7,81],[1,5,11],[1,6,23],[2,3,65],[2,4,6],[2,5,36],[2,6,81],[2,7,94],[3,4,28],[3,6,12],[4,5,52],[4,7,72],[5,6,47],[5,7,90],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,24],[0,3,89],[0,4,47],[0,6,72],[0,7,81],[1,5,11],[1,6,23],[2,3,65],[2,4,6],[2,5,36],[2,6,81],[2,7,94],[3,4,28],[3,6,12],[4,5,52],[4,7,72],[5,6,47],[5,7,90],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (6,7)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (0,2)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,24],[0,3,89],[0,4,47],[0,6,72],[0,7,81],[1,5,11],[1,6,23],[2,3,65],[2,4,6],[2,5,36],[2,6,81],[2,7,94],[3,4,28],[3,6,12],[4,5,52],[4,7,72],[5,6,47],[5,7,90],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (1,5)=11, w=17\",\"Add (3,6)=12, w=29\",\"Add (6,7)=14, w=43\",\"Add (0,1)=17, w=60\",\"Add (1,6)=23, w=83\",\"Add (0,2)=24, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,24],[0,3,89],[0,4,47],[0,6,72],[0,7,81],[1,5,11],[1,6,23],[2,3,65],[2,4,6],[2,5,36],[2,6,81],[2,7,94],[3,4,28],[3,6,12],[4,5,52],[4,7,72],[5,6,47],[5,7,90],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (1,5)=11 Succeeded, w=17\",\"Add (3,6)=12 Succeeded, w=29\",\"Add (6,7)=14 Succeeded, w=43\",\"Add (0,1)=17 Succeeded, w=60\",\"Add (1,6)=23 Succeeded, w=83\",\"Add (0,2)=24 Succeeded, w=107\",\"Add (3,4)=28 Failed, w=107\",\"Add (2,5)=36 Failed, w=107\",\"Add (0,4)=47 Failed, w=107\",\"Add (5,6)=47 Failed, w=107\",\"Add (4,5)=52 Failed, w=107\",\"Add (2,3)=65 Failed, w=107\",\"Add (0,6)=72 Failed, w=107\",\"Add (4,7)=72 Failed, w=107\",\"Add (0,7)=81 Failed, w=107\",\"Add (2,6)=81 Failed, w=107\",\"Add (0,3)=89 Failed, w=107\",\"Add (5,7)=90 Failed, w=107\",\"Add (2,7)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,24],[0,3,89],[0,4,47],[0,6,72],[0,7,81],[1,5,11],[1,6,23],[2,3,65],[2,4,6],[2,5,36],[2,6,81],[2,7,94],[3,4,28],[3,6,12],[4,5,52],[4,7,72],[5,6,47],[5,7,90],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(1,5)=11,(3,6)=12,(6,7)=14,(0,1)=17,(1,6)=23,(0,2)=24,(3,4)=28,(2,5)=36,(0,4)=47,(5,6)=47,(4,5)=52,(2,3)=65,(0,6)=72,(4,7)=72,(0,7)=81,(2,6)=81,(0,3)=89,(5,7)=90,(2,7)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=17\",\"Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=29\",\"Find(6)=3, Find(7)=7, Add (6,7)=14 Succeeded, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=60\",\"Find(1)=1, Find(6)=3, Add (1,6)=23 Succeeded, w=83\",\"Find(0)=1, Find(2)=2, Add (0,2)=24 Succeeded, w=107\",\"Find(3)=1, Find(4)=1, Add (3,4)=28 Failed, w=107\",\"Find(2)=1, Find(5)=1, Add (2,5)=36 Failed, w=107\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=107\",\"Find(5)=1, Find(6)=1, Add (5,6)=47 Failed, w=107\",\"Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=107\",\"Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=107\",\"Find(0)=1, Find(6)=1, Add (0,6)=72 Failed, w=107\",\"Find(4)=1, Find(7)=1, Add (4,7)=72 Failed, w=107\",\"Find(0)=1, Find(7)=1, Add (0,7)=81 Failed, w=107\",\"Find(2)=1, Find(6)=1, Add (2,6)=81 Failed, w=107\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=107\",\"Find(5)=1, Find(7)=1, Add (5,7)=90 Failed, w=107\",\"Find(2)=1, Find(7)=1, Add (2,7)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,24],[0,3,89],[0,4,47],[0,6,72],[0,7,81],[1,5,11],[1,6,23],[2,3,65],[2,4,6],[2,5,36],[2,6,81],[2,7,94],[3,4,28],[3,6,12],[4,5,52],[4,7,72],[5,6,47],[5,7,90],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(1,5)=11,(3,6)=12,(6,7)=14,(0,1)=17,(1,6)=23,(0,2)=24,(3,4)=28,(2,5)=36,(0,4)=47,(5,6)=47,(4,5)=52,(2,3)=65,(0,6)=72,(4,7)=72,(0,7)=81,(2,6)=81,(0,3)=89,(5,7)=90,(2,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 3, 7: 3}, Find(6)=3, Find(7)=7, Add (6,7)=14 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 3, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 3, 7: 3}, Find(1)=1, Find(6)=3, Add (1,6)=23 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 3, 7: 3}, Find(0)=1, Find(2)=2, Add (0,2)=24 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 3}, Find(3)=1, Find(4)=1, Add (3,4)=28 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 3}, Find(2)=1, Find(5)=1, Add (2,5)=36 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 3}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(5)=1, Find(6)=1, Add (5,6)=47 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(6)=1, Add (0,6)=72 Failed, w=107\",\"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)=72 Failed, w=107\",\"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)=81 Failed, w=107\",\"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)=81 Failed, w=107\",\"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)=89 Failed, w=107\",\"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)=90 Failed, w=107\",\"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)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,15],[0,4,46],[1,2,22],[1,3,84],[1,5,83],[2,3,23],[2,4,61],[2,6,88],[3,4,49],[3,5,71],[3,6,53],[4,6,24],[5,6,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,15],[0,4,46],[1,2,22],[1,3,84],[1,5,83],[2,3,23],[2,4,61],[2,6,88],[3,4,49],[3,5,71],[3,6,53],[4,6,24],[5,6,69]]}",
"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],\"edges\":[[0,3,15],[0,4,46],[1,2,22],[1,3,84],[1,5,83],[2,3,23],[2,4,61],[2,6,88],[3,4,49],[3,5,71],[3,6,53],[4,6,24],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (5,6)\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,15],[0,4,46],[1,2,22],[1,3,84],[1,5,83],[2,3,23],[2,4,61],[2,6,88],[3,4,49],[3,5,71],[3,6,53],[4,6,24],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (1,2)=22, w=37\",\"Add (2,3)=23, w=60\",\"Add (4,6)=24, w=84\",\"Add (0,4)=46, w=130\",\"Add (5,6)=69, 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],\"edges\":[[0,3,15],[0,4,46],[1,2,22],[1,3,84],[1,5,83],[2,3,23],[2,4,61],[2,6,88],[3,4,49],[3,5,71],[3,6,53],[4,6,24],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (1,2)=22 Succeeded, w=37\",\"Add (2,3)=23 Succeeded, w=60\",\"Add (4,6)=24 Succeeded, w=84\",\"Add (0,4)=46 Succeeded, w=130\",\"Add (3,4)=49 Failed, w=130\",\"Add (3,6)=53 Failed, w=130\",\"Add (2,4)=61 Failed, w=130\",\"Add (5,6)=69 Succeeded, w=199\",\"Add (3,5)=71 Failed, w=199\",\"Add (1,5)=83 Failed, w=199\",\"Add (1,3)=84 Failed, w=199\",\"Add (2,6)=88 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],\"edges\":[[0,3,15],[0,4,46],[1,2,22],[1,3,84],[1,5,83],[2,3,23],[2,4,61],[2,6,88],[3,4,49],[3,5,71],[3,6,53],[4,6,24],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(1,2)=22,(2,3)=23,(4,6)=24,(0,4)=46,(3,4)=49,(3,6)=53,(2,4)=61,(5,6)=69,(3,5)=71,(1,5)=83,(1,3)=84,(2,6)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=37\",\"Find(2)=1, Find(3)=0, Add (2,3)=23 Succeeded, w=60\",\"Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=84\",\"Find(0)=1, Find(4)=4, Add (0,4)=46 Succeeded, w=130\",\"Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=130\",\"Find(3)=1, Find(6)=1, Add (3,6)=53 Failed, w=130\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=130\",\"Find(5)=5, Find(6)=1, Add (5,6)=69 Succeeded, w=199\",\"Find(3)=1, Find(5)=1, Add (3,5)=71 Failed, w=199\",\"Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=199\",\"Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=199\",\"Find(2)=1, Find(6)=1, Add (2,6)=88 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],\"edges\":[[0,3,15],[0,4,46],[1,2,22],[1,3,84],[1,5,83],[2,3,23],[2,4,61],[2,6,88],[3,4,49],[3,5,71],[3,6,53],[4,6,24],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(1,2)=22,(2,3)=23,(4,6)=24,(0,4)=46,(3,4)=49,(3,6)=53,(2,4)=61,(5,6)=69,(3,5)=71,(1,5)=83,(1,3)=84,(2,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6}, Find(2)=1, Find(3)=0, Add (2,3)=23 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 4}, Find(0)=1, Find(4)=4, Add (0,4)=46 Succeeded, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 4}, Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=53 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=69 Succeeded, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=71 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=88 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,52],[0,2,64],[0,3,13],[1,3,0],[1,4,32],[2,3,6],[2,4,35],[3,4,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,64],[0,3,13],[1,3,0],[1,4,32],[2,3,6],[2,4,35],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,64],[0,3,13],[1,3,0],[1,4,32],[2,3,6],[2,4,35],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,64],[0,3,13],[1,3,0],[1,4,32],[2,3,6],[2,4,35],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,3)=6, w=6\",\"Add (0,3)=13, w=19\",\"Add (1,4)=32, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,64],[0,3,13],[1,3,0],[1,4,32],[2,3,6],[2,4,35],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,3)=6 Succeeded, w=6\",\"Add (0,3)=13 Succeeded, w=19\",\"Add (1,4)=32 Succeeded, w=51\",\"Add (2,4)=35 Failed, w=51\",\"Add (0,1)=52 Failed, w=51\",\"Add (0,2)=64 Failed, w=51\",\"Add (3,4)=93 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,64],[0,3,13],[1,3,0],[1,4,32],[2,3,6],[2,4,35],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=6,(0,3)=13,(1,4)=32,(2,4)=35,(0,1)=52,(0,2)=64,(3,4)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=1, Add (2,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=19\",\"Find(1)=1, Find(4)=4, Add (1,4)=32 Succeeded, w=51\",\"Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=51\",\"Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=51\",\"Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=51\",\"Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,52],[0,2,64],[0,3,13],[1,3,0],[1,4,32],[2,3,6],[2,4,35],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=6,(0,3)=13,(1,4)=32,(2,4)=35,(0,1)=52,(0,2)=64,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=32 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,46],[0,3,19],[0,4,13],[0,5,70],[1,2,71],[1,4,21],[1,5,66],[1,6,6],[1,7,19],[2,4,19],[2,6,1],[2,7,11],[3,4,62],[3,6,54],[3,7,17],[4,5,13],[5,6,78],[5,7,98],[6,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,46],[0,3,19],[0,4,13],[0,5,70],[1,2,71],[1,4,21],[1,5,66],[1,6,6],[1,7,19],[2,4,19],[2,6,1],[2,7,11],[3,4,62],[3,6,54],[3,7,17],[4,5,13],[5,6,78],[5,7,98],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,46],[0,3,19],[0,4,13],[0,5,70],[1,2,71],[1,4,21],[1,5,66],[1,6,6],[1,7,19],[2,4,19],[2,6,1],[2,7,11],[3,4,62],[3,6,54],[3,7,17],[4,5,13],[5,6,78],[5,7,98],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (3,7)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,46],[0,3,19],[0,4,13],[0,5,70],[1,2,71],[1,4,21],[1,5,66],[1,6,6],[1,7,19],[2,4,19],[2,6,1],[2,7,11],[3,4,62],[3,6,54],[3,7,17],[4,5,13],[5,6,78],[5,7,98],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (1,6)=6, w=7\",\"Add (2,7)=11, w=18\",\"Add (0,4)=13, w=31\",\"Add (4,5)=13, w=44\",\"Add (0,1)=17, w=61\",\"Add (3,7)=17, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,46],[0,3,19],[0,4,13],[0,5,70],[1,2,71],[1,4,21],[1,5,66],[1,6,6],[1,7,19],[2,4,19],[2,6,1],[2,7,11],[3,4,62],[3,6,54],[3,7,17],[4,5,13],[5,6,78],[5,7,98],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (1,6)=6 Succeeded, w=7\",\"Add (2,7)=11 Succeeded, w=18\",\"Add (0,4)=13 Succeeded, w=31\",\"Add (4,5)=13 Succeeded, w=44\",\"Add (0,1)=17 Succeeded, w=61\",\"Add (3,7)=17 Succeeded, w=78\",\"Add (0,3)=19 Failed, w=78\",\"Add (1,7)=19 Failed, w=78\",\"Add (2,4)=19 Failed, w=78\",\"Add (1,4)=21 Failed, w=78\",\"Add (6,7)=22 Failed, w=78\",\"Add (0,2)=46 Failed, w=78\",\"Add (3,6)=54 Failed, w=78\",\"Add (3,4)=62 Failed, w=78\",\"Add (1,5)=66 Failed, w=78\",\"Add (0,5)=70 Failed, w=78\",\"Add (1,2)=71 Failed, w=78\",\"Add (5,6)=78 Failed, w=78\",\"Add (5,7)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,46],[0,3,19],[0,4,13],[0,5,70],[1,2,71],[1,4,21],[1,5,66],[1,6,6],[1,7,19],[2,4,19],[2,6,1],[2,7,11],[3,4,62],[3,6,54],[3,7,17],[4,5,13],[5,6,78],[5,7,98],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(1,6)=6,(2,7)=11,(0,4)=13,(4,5)=13,(0,1)=17,(3,7)=17,(0,3)=19,(1,7)=19,(2,4)=19,(1,4)=21,(6,7)=22,(0,2)=46,(3,6)=54,(3,4)=62,(1,5)=66,(0,5)=70,(1,2)=71,(5,6)=78,(5,7)=98]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=2, Add (1,6)=6 Succeeded, w=7\",\"Find(2)=2, Find(7)=7, Add (2,7)=11 Succeeded, w=18\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=31\",\"Find(4)=0, Find(5)=5, Add (4,5)=13 Succeeded, w=44\",\"Find(0)=0, Find(1)=2, Add (0,1)=17 Succeeded, w=61\",\"Find(3)=3, Find(7)=0, Add (3,7)=17 Succeeded, w=78\",\"Find(0)=0, Find(3)=0, Add (0,3)=19 Failed, w=78\",\"Find(1)=0, Find(7)=0, Add (1,7)=19 Failed, w=78\",\"Find(2)=0, Find(4)=0, Add (2,4)=19 Failed, w=78\",\"Find(1)=0, Find(4)=0, Add (1,4)=21 Failed, w=78\",\"Find(6)=0, Find(7)=0, Add (6,7)=22 Failed, w=78\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=78\",\"Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=78\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=78\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=78\",\"Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=78\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=78\",\"Find(5)=0, Find(6)=0, Add (5,6)=78 Failed, w=78\",\"Find(5)=0, Find(7)=0, Add (5,7)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,46],[0,3,19],[0,4,13],[0,5,70],[1,2,71],[1,4,21],[1,5,66],[1,6,6],[1,7,19],[2,4,19],[2,6,1],[2,7,11],[3,4,62],[3,6,54],[3,7,17],[4,5,13],[5,6,78],[5,7,98],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(1,6)=6,(2,7)=11,(0,4)=13,(4,5)=13,(0,1)=17,(3,7)=17,(0,3)=19,(1,7)=19,(2,4)=19,(1,4)=21,(6,7)=22,(0,2)=46,(3,6)=54,(3,4)=62,(1,5)=66,(0,5)=70,(1,2)=71,(5,6)=78,(5,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(6)=2, Add (1,6)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=31\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2, 7: 2}, Find(4)=0, Find(5)=5, Add (4,5)=13 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2, 7: 2}, Find(0)=0, Find(1)=2, Add (0,1)=17 Succeeded, w=61\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=17 Succeeded, w=78\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=19 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=19 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=19 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=21 Failed, w=78\",\"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)=22 Failed, w=78\",\"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)=46 Failed, w=78\",\"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=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=78\",\"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)=66 Failed, w=78\",\"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)=70 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=78\",\"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)=78 Failed, w=78\",\"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)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,15],[0,3,50],[1,2,63],[1,3,29],[2,3,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,50],[1,2,63],[1,3,29],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,50],[1,2,63],[1,3,29],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,50],[1,2,63],[1,3,29],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=15, w=15\",\"Add (1,3)=29, w=44\",\"Add (0,3)=50, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,50],[1,2,63],[1,3,29],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=15 Succeeded, w=15\",\"Add (1,3)=29 Succeeded, w=44\",\"Add (0,3)=50 Succeeded, w=94\",\"Add (2,3)=53 Failed, w=94\",\"Add (1,2)=63 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,50],[1,2,63],[1,3,29],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=15,(1,3)=29,(0,3)=50,(2,3)=53,(1,2)=63]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=44\",\"Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=94\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,50],[1,2,63],[1,3,29],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=15,(1,3)=29,(0,3)=50,(2,3)=53,(1,2)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,86],[1,3,88],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,88],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,88],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,88],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=56, w=56\",\"Add (0,3)=86, w=142\",\"Add (1,3)=88, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,88],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=56 Succeeded, w=56\",\"Add (0,3)=86 Succeeded, w=142\",\"Add (1,3)=88 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,88],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=56,(0,3)=86,(1,3)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=56 Succeeded, w=56\",\"Find(0)=0, Find(3)=2, Add (0,3)=86 Succeeded, w=142\",\"Find(1)=1, Find(3)=2, Add (1,3)=88 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,86],[1,3,88],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=56,(0,3)=86,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=56 Succeeded, w=56\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=86 Succeeded, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=88 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,75],[0,2,33],[0,5,93],[0,6,88],[1,4,89],[1,5,50],[1,6,25],[2,4,15],[2,6,67],[4,6,73],[5,6,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,33],[0,5,93],[0,6,88],[1,4,89],[1,5,50],[1,6,25],[2,4,15],[2,6,67],[4,6,73],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,33],[0,5,93],[0,6,88],[1,4,89],[1,5,50],[1,6,25],[2,4,15],[2,6,67],[4,6,73],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (2,6)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,33],[0,5,93],[0,6,88],[1,4,89],[1,5,50],[1,6,25],[2,4,15],[2,6,67],[4,6,73],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15, w=15\",\"Add (1,6)=25, w=40\",\"Add (0,2)=33, w=73\",\"Add (1,5)=50, w=123\",\"Add (2,6)=67, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,33],[0,5,93],[0,6,88],[1,4,89],[1,5,50],[1,6,25],[2,4,15],[2,6,67],[4,6,73],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15 Succeeded, w=15\",\"Add (1,6)=25 Succeeded, w=40\",\"Add (0,2)=33 Succeeded, w=73\",\"Add (1,5)=50 Succeeded, w=123\",\"Add (2,6)=67 Succeeded, w=190\",\"Add (4,6)=73 Failed, w=190\",\"Add (0,1)=75 Failed, w=190\",\"Add (0,6)=88 Failed, w=190\",\"Add (1,4)=89 Failed, w=190\",\"Add (0,5)=93 Failed, w=190\",\"Add (5,6)=93 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,33],[0,5,93],[0,6,88],[1,4,89],[1,5,50],[1,6,25],[2,4,15],[2,6,67],[4,6,73],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(1,6)=25,(0,2)=33,(1,5)=50,(2,6)=67,(4,6)=73,(0,1)=75,(0,6)=88,(1,4)=89,(0,5)=93,(5,6)=93]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Find(1)=1, Find(6)=6, Add (1,6)=25 Succeeded, w=40\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=73\",\"Find(1)=1, Find(5)=5, Add (1,5)=50 Succeeded, w=123\",\"Find(2)=2, Find(6)=1, Add (2,6)=67 Succeeded, w=190\",\"Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=190\",\"Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=190\",\"Find(0)=2, Find(6)=2, Add (0,6)=88 Failed, w=190\",\"Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=190\",\"Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=190\",\"Find(5)=2, Find(6)=2, Add (5,6)=93 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,33],[0,5,93],[0,6,88],[1,4,89],[1,5,50],[1,6,25],[2,4,15],[2,6,67],[4,6,73],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(1,6)=25,(0,2)=33,(1,5)=50,(2,6)=67,(4,6)=73,(0,1)=75,(0,6)=88,(1,4)=89,(0,5)=93,(5,6)=93]\",\"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)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=25 Succeeded, w=40\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=73\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=50 Succeeded, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=67 Succeeded, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=88 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=93 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,94],[1,2,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=82, w=82\",\"Add (0,2)=94, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=82 Succeeded, w=82\",\"Add (0,2)=94 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=82,(0,2)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=82 Succeeded, w=82\",\"Find(0)=0, Find(2)=1, Add (0,2)=94 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,94],[1,2,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=82,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=82 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=94 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,68],[0,2,6],[0,3,62],[0,4,31],[0,5,0],[0,6,84],[1,3,100],[1,4,48],[1,5,79],[1,6,48],[2,5,16],[2,6,51],[3,4,45],[3,5,13],[3,6,19],[4,5,99],[4,6,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,6],[0,3,62],[0,4,31],[0,5,0],[0,6,84],[1,3,100],[1,4,48],[1,5,79],[1,6,48],[2,5,16],[2,6,51],[3,4,45],[3,5,13],[3,6,19],[4,5,99],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,6],[0,3,62],[0,4,31],[0,5,0],[0,6,84],[1,3,100],[1,4,48],[1,5,79],[1,6,48],[2,5,16],[2,6,51],[3,4,45],[3,5,13],[3,6,19],[4,5,99],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (1,4)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,6],[0,3,62],[0,4,31],[0,5,0],[0,6,84],[1,3,100],[1,4,48],[1,5,79],[1,6,48],[2,5,16],[2,6,51],[3,4,45],[3,5,13],[3,6,19],[4,5,99],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (0,2)=6, w=6\",\"Add (3,5)=13, w=19\",\"Add (4,6)=13, w=32\",\"Add (3,6)=19, w=51\",\"Add (1,4)=48, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,6],[0,3,62],[0,4,31],[0,5,0],[0,6,84],[1,3,100],[1,4,48],[1,5,79],[1,6,48],[2,5,16],[2,6,51],[3,4,45],[3,5,13],[3,6,19],[4,5,99],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (0,2)=6 Succeeded, w=6\",\"Add (3,5)=13 Succeeded, w=19\",\"Add (4,6)=13 Succeeded, w=32\",\"Add (2,5)=16 Failed, w=32\",\"Add (3,6)=19 Succeeded, w=51\",\"Add (0,4)=31 Failed, w=51\",\"Add (3,4)=45 Failed, w=51\",\"Add (1,4)=48 Succeeded, w=99\",\"Add (1,6)=48 Failed, w=99\",\"Add (2,6)=51 Failed, w=99\",\"Add (0,3)=62 Failed, w=99\",\"Add (0,1)=68 Failed, w=99\",\"Add (1,5)=79 Failed, w=99\",\"Add (0,6)=84 Failed, w=99\",\"Add (4,5)=99 Failed, w=99\",\"Add (1,3)=100 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,6],[0,3,62],[0,4,31],[0,5,0],[0,6,84],[1,3,100],[1,4,48],[1,5,79],[1,6,48],[2,5,16],[2,6,51],[3,4,45],[3,5,13],[3,6,19],[4,5,99],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,2)=6,(3,5)=13,(4,6)=13,(2,5)=16,(3,6)=19,(0,4)=31,(3,4)=45,(1,4)=48,(1,6)=48,(2,6)=51,(0,3)=62,(0,1)=68,(1,5)=79,(0,6)=84,(4,5)=99,(1,3)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(3)=3, Find(5)=0, Add (3,5)=13 Succeeded, w=19\",\"Find(4)=4, Find(6)=6, Add (4,6)=13 Succeeded, w=32\",\"Find(2)=0, Find(5)=0, Add (2,5)=16 Failed, w=32\",\"Find(3)=0, Find(6)=4, Add (3,6)=19 Succeeded, w=51\",\"Find(0)=0, Find(4)=0, Add (0,4)=31 Failed, w=51\",\"Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=51\",\"Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=99\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=99\",\"Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=99\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=99\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=99\",\"Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=99\",\"Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=99\",\"Find(4)=0, Find(5)=0, Add (4,5)=99 Failed, w=99\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,6],[0,3,62],[0,4,31],[0,5,0],[0,6,84],[1,3,100],[1,4,48],[1,5,79],[1,6,48],[2,5,16],[2,6,51],[3,4,45],[3,5,13],[3,6,19],[4,5,99],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,2)=6,(3,5)=13,(4,6)=13,(2,5)=16,(3,6)=19,(0,4)=31,(3,4)=45,(1,4)=48,(1,6)=48,(2,6)=51,(0,3)=62,(0,1)=68,(1,5)=79,(0,6)=84,(4,5)=99,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=13 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 4}, Find(2)=0, Find(5)=0, Add (2,5)=16 Failed, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(6)=4, Add (3,6)=19 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=0, Add (0,4)=31 Failed, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=99 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,2,14],[0,4,79],[1,3,70],[1,4,43],[2,3,100],[2,4,78],[3,4,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,14],[0,4,79],[1,3,70],[1,4,43],[2,3,100],[2,4,78],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,14],[0,4,79],[1,3,70],[1,4,43],[2,3,100],[2,4,78],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,14],[0,4,79],[1,3,70],[1,4,43],[2,3,100],[2,4,78],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (3,4)=17, w=31\",\"Add (1,4)=43, w=74\",\"Add (2,4)=78, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,14],[0,4,79],[1,3,70],[1,4,43],[2,3,100],[2,4,78],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (3,4)=17 Succeeded, w=31\",\"Add (1,4)=43 Succeeded, w=74\",\"Add (1,3)=70 Failed, w=74\",\"Add (2,4)=78 Succeeded, w=152\",\"Add (0,4)=79 Failed, w=152\",\"Add (0,1)=100 Failed, w=152\",\"Add (2,3)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,14],[0,4,79],[1,3,70],[1,4,43],[2,3,100],[2,4,78],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(3,4)=17,(1,4)=43,(1,3)=70,(2,4)=78,(0,4)=79,(0,1)=100,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=31\",\"Find(1)=1, Find(4)=3, Add (1,4)=43 Succeeded, w=74\",\"Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=74\",\"Find(2)=0, Find(4)=3, Add (2,4)=78 Succeeded, w=152\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=152\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=152\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,14],[0,4,79],[1,3,70],[1,4,43],[2,3,100],[2,4,78],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(3,4)=17,(1,4)=43,(1,3)=70,(2,4)=78,(0,4)=79,(0,1)=100,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=43 Succeeded, w=74\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=74\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=78 Succeeded, w=152\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,34],[0,2,16],[0,3,59],[0,4,68],[1,2,24],[1,3,45],[1,4,2],[2,4,21],[3,4,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,16],[0,3,59],[0,4,68],[1,2,24],[1,3,45],[1,4,2],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,16],[0,3,59],[0,4,68],[1,2,24],[1,3,45],[1,4,2],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,16],[0,3,59],[0,4,68],[1,2,24],[1,3,45],[1,4,2],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (0,2)=16, w=18\",\"Add (2,4)=21, w=39\",\"Add (1,3)=45, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,16],[0,3,59],[0,4,68],[1,2,24],[1,3,45],[1,4,2],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (0,2)=16 Succeeded, w=18\",\"Add (2,4)=21 Succeeded, w=39\",\"Add (1,2)=24 Failed, w=39\",\"Add (0,1)=34 Failed, w=39\",\"Add (1,3)=45 Succeeded, w=84\",\"Add (0,3)=59 Failed, w=84\",\"Add (0,4)=68 Failed, w=84\",\"Add (3,4)=77 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,16],[0,3,59],[0,4,68],[1,2,24],[1,3,45],[1,4,2],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,2)=16,(2,4)=21,(1,2)=24,(0,1)=34,(1,3)=45,(0,3)=59,(0,4)=68,(3,4)=77]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=18\",\"Find(2)=0, Find(4)=1, Add (2,4)=21 Succeeded, w=39\",\"Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=39\",\"Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=39\",\"Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=84\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=84\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=84\",\"Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,16],[0,3,59],[0,4,68],[1,2,24],[1,3,45],[1,4,2],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,2)=16,(2,4)=21,(1,2)=24,(0,1)=34,(1,3)=45,(0,3)=59,(0,4)=68,(3,4)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(2)=0, Find(4)=1, Add (2,4)=21 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,23],[0,3,68],[0,4,6],[1,2,1],[1,3,53],[1,4,99],[2,3,31],[2,4,28],[3,4,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,23],[0,3,68],[0,4,6],[1,2,1],[1,3,53],[1,4,99],[2,3,31],[2,4,28],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,23],[0,3,68],[0,4,6],[1,2,1],[1,3,53],[1,4,99],[2,3,31],[2,4,28],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,23],[0,3,68],[0,4,6],[1,2,1],[1,3,53],[1,4,99],[2,3,31],[2,4,28],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,4)=6, w=7\",\"Add (0,1)=14, w=21\",\"Add (2,3)=31, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,23],[0,3,68],[0,4,6],[1,2,1],[1,3,53],[1,4,99],[2,3,31],[2,4,28],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,4)=6 Succeeded, w=7\",\"Add (0,1)=14 Succeeded, w=21\",\"Add (0,2)=23 Failed, w=21\",\"Add (2,4)=28 Failed, w=21\",\"Add (2,3)=31 Succeeded, w=52\",\"Add (1,3)=53 Failed, w=52\",\"Add (0,3)=68 Failed, w=52\",\"Add (3,4)=71 Failed, w=52\",\"Add (1,4)=99 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,23],[0,3,68],[0,4,6],[1,2,1],[1,3,53],[1,4,99],[2,3,31],[2,4,28],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,4)=6,(0,1)=14,(0,2)=23,(2,4)=28,(2,3)=31,(1,3)=53,(0,3)=68,(3,4)=71,(1,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=21\",\"Find(0)=0, Find(2)=0, Add (0,2)=23 Failed, w=21\",\"Find(2)=0, Find(4)=0, Add (2,4)=28 Failed, w=21\",\"Find(2)=0, Find(3)=3, Add (2,3)=31 Succeeded, w=52\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=52\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=52\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=52\",\"Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,23],[0,3,68],[0,4,6],[1,2,1],[1,3,53],[1,4,99],[2,3,31],[2,4,28],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,4)=6,(0,1)=14,(0,2)=23,(2,4)=28,(2,3)=31,(1,3)=53,(0,3)=68,(3,4)=71,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=23 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=28 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=31 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
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