graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
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| messages_l5
listlengths 2
2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,98],[0,2,100],[0,3,36],[0,4,31],[0,5,4],[0,6,21],[1,2,98],[1,3,0],[1,5,98],[1,6,71],[1,7,28],[2,3,74],[2,4,65],[2,5,19],[2,6,11],[2,7,14],[3,4,55],[3,6,25],[4,5,72],[4,6,75],[4,7,30],[5,6,18],[5,7,24],[6,7,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,100],[0,3,36],[0,4,31],[0,5,4],[0,6,21],[1,2,98],[1,3,0],[1,5,98],[1,6,71],[1,7,28],[2,3,74],[2,4,65],[2,5,19],[2,6,11],[2,7,14],[3,4,55],[3,6,25],[4,5,72],[4,6,75],[4,7,30],[5,6,18],[5,7,24],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,100],[0,3,36],[0,4,31],[0,5,4],[0,6,21],[1,2,98],[1,3,0],[1,5,98],[1,6,71],[1,7,28],[2,3,74],[2,4,65],[2,5,19],[2,6,11],[2,7,14],[3,4,55],[3,6,25],[4,5,72],[4,6,75],[4,7,30],[5,6,18],[5,7,24],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (2,7)\",\"Add (5,6)\",\"Add (3,6)\",\"Add (4,7)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,100],[0,3,36],[0,4,31],[0,5,4],[0,6,21],[1,2,98],[1,3,0],[1,5,98],[1,6,71],[1,7,28],[2,3,74],[2,4,65],[2,5,19],[2,6,11],[2,7,14],[3,4,55],[3,6,25],[4,5,72],[4,6,75],[4,7,30],[5,6,18],[5,7,24],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,5)=4, w=4\",\"Add (2,6)=11, w=15\",\"Add (2,7)=14, w=29\",\"Add (5,6)=18, w=47\",\"Add (3,6)=25, w=72\",\"Add (4,7)=30, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,100],[0,3,36],[0,4,31],[0,5,4],[0,6,21],[1,2,98],[1,3,0],[1,5,98],[1,6,71],[1,7,28],[2,3,74],[2,4,65],[2,5,19],[2,6,11],[2,7,14],[3,4,55],[3,6,25],[4,5,72],[4,6,75],[4,7,30],[5,6,18],[5,7,24],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,5)=4 Succeeded, w=4\",\"Add (2,6)=11 Succeeded, w=15\",\"Add (2,7)=14 Succeeded, w=29\",\"Add (5,6)=18 Succeeded, w=47\",\"Add (2,5)=19 Failed, w=47\",\"Add (0,6)=21 Failed, w=47\",\"Add (5,7)=24 Failed, w=47\",\"Add (3,6)=25 Succeeded, w=72\",\"Add (1,7)=28 Failed, w=72\",\"Add (6,7)=29 Failed, w=72\",\"Add (4,7)=30 Succeeded, w=102\",\"Add (0,4)=31 Failed, w=102\",\"Add (0,3)=36 Failed, w=102\",\"Add (3,4)=55 Failed, w=102\",\"Add (2,4)=65 Failed, w=102\",\"Add (1,6)=71 Failed, w=102\",\"Add (4,5)=72 Failed, w=102\",\"Add (2,3)=74 Failed, w=102\",\"Add (4,6)=75 Failed, w=102\",\"Add (0,1)=98 Failed, w=102\",\"Add (1,2)=98 Failed, w=102\",\"Add (1,5)=98 Failed, w=102\",\"Add (0,2)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,100],[0,3,36],[0,4,31],[0,5,4],[0,6,21],[1,2,98],[1,3,0],[1,5,98],[1,6,71],[1,7,28],[2,3,74],[2,4,65],[2,5,19],[2,6,11],[2,7,14],[3,4,55],[3,6,25],[4,5,72],[4,6,75],[4,7,30],[5,6,18],[5,7,24],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,5)=4,(2,6)=11,(2,7)=14,(5,6)=18,(2,5)=19,(0,6)=21,(5,7)=24,(3,6)=25,(1,7)=28,(6,7)=29,(4,7)=30,(0,4)=31,(0,3)=36,(3,4)=55,(2,4)=65,(1,6)=71,(4,5)=72,(2,3)=74,(4,6)=75,(0,1)=98,(1,2)=98,(1,5)=98,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=15\",\"Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=29\",\"Find(5)=0, Find(6)=2, Add (5,6)=18 Succeeded, w=47\",\"Find(2)=0, Find(5)=0, Add (2,5)=19 Failed, w=47\",\"Find(0)=0, Find(6)=0, Add (0,6)=21 Failed, w=47\",\"Find(5)=0, Find(7)=0, Add (5,7)=24 Failed, w=47\",\"Find(3)=1, Find(6)=0, Add (3,6)=25 Succeeded, w=72\",\"Find(1)=0, Find(7)=0, Add (1,7)=28 Failed, w=72\",\"Find(6)=0, Find(7)=0, Add (6,7)=29 Failed, w=72\",\"Find(4)=4, Find(7)=0, Add (4,7)=30 Succeeded, w=102\",\"Find(0)=0, Find(4)=0, Add (0,4)=31 Failed, w=102\",\"Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=102\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=102\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=102\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=102\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=102\",\"Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=102\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=102\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,100],[0,3,36],[0,4,31],[0,5,4],[0,6,21],[1,2,98],[1,3,0],[1,5,98],[1,6,71],[1,7,28],[2,3,74],[2,4,65],[2,5,19],[2,6,11],[2,7,14],[3,4,55],[3,6,25],[4,5,72],[4,6,75],[4,7,30],[5,6,18],[5,7,24],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,5)=4,(2,6)=11,(2,7)=14,(5,6)=18,(2,5)=19,(0,6)=21,(5,7)=24,(3,6)=25,(1,7)=28,(6,7)=29,(4,7)=30,(0,4)=31,(0,3)=36,(3,4)=55,(2,4)=65,(1,6)=71,(4,5)=72,(2,3)=74,(4,6)=75,(0,1)=98,(1,2)=98,(1,5)=98,(0,2)=100]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 2, 7: 2}, Find(5)=0, Find(6)=2, Add (5,6)=18 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 2, 7: 2}, Find(2)=0, Find(5)=0, Add (2,5)=19 Failed, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(6)=0, Add (0,6)=21 Failed, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=24 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=1, Find(6)=0, Add (3,6)=25 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=28 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=29 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=30 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=31 Failed, w=102\",\"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)=36 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=102\",\"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)=72 Failed, w=102\",\"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)=74 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=102\",\"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)=98 Failed, w=102\",\"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=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,3,33],[0,4,75],[0,6,33],[1,2,64],[1,3,76],[1,4,58],[1,6,71],[2,3,16],[2,4,25],[2,5,35],[2,6,34],[3,4,4],[3,5,45],[3,6,26],[4,5,19],[4,6,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,3,33],[0,4,75],[0,6,33],[1,2,64],[1,3,76],[1,4,58],[1,6,71],[2,3,16],[2,4,25],[2,5,35],[2,6,34],[3,4,4],[3,5,45],[3,6,26],[4,5,19],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,3,33],[0,4,75],[0,6,33],[1,2,64],[1,3,76],[1,4,58],[1,6,71],[2,3,16],[2,4,25],[2,5,35],[2,6,34],[3,4,4],[3,5,45],[3,6,26],[4,5,19],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,3,33],[0,4,75],[0,6,33],[1,2,64],[1,3,76],[1,4,58],[1,6,71],[2,3,16],[2,4,25],[2,5,35],[2,6,34],[3,4,4],[3,5,45],[3,6,26],[4,5,19],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (2,3)=16, w=20\",\"Add (4,5)=19, w=39\",\"Add (3,6)=26, w=65\",\"Add (0,3)=33, w=98\",\"Add (1,4)=58, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,3,33],[0,4,75],[0,6,33],[1,2,64],[1,3,76],[1,4,58],[1,6,71],[2,3,16],[2,4,25],[2,5,35],[2,6,34],[3,4,4],[3,5,45],[3,6,26],[4,5,19],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (2,3)=16 Succeeded, w=20\",\"Add (4,5)=19 Succeeded, w=39\",\"Add (2,4)=25 Failed, w=39\",\"Add (3,6)=26 Succeeded, w=65\",\"Add (0,3)=33 Succeeded, w=98\",\"Add (0,6)=33 Failed, w=98\",\"Add (2,6)=34 Failed, w=98\",\"Add (2,5)=35 Failed, w=98\",\"Add (3,5)=45 Failed, w=98\",\"Add (1,4)=58 Succeeded, w=156\",\"Add (1,2)=64 Failed, w=156\",\"Add (1,6)=71 Failed, w=156\",\"Add (0,4)=75 Failed, w=156\",\"Add (1,3)=76 Failed, w=156\",\"Add (0,1)=79 Failed, w=156\",\"Add (4,6)=84 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,3,33],[0,4,75],[0,6,33],[1,2,64],[1,3,76],[1,4,58],[1,6,71],[2,3,16],[2,4,25],[2,5,35],[2,6,34],[3,4,4],[3,5,45],[3,6,26],[4,5,19],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(2,3)=16,(4,5)=19,(2,4)=25,(3,6)=26,(0,3)=33,(0,6)=33,(2,6)=34,(2,5)=35,(3,5)=45,(1,4)=58,(1,2)=64,(1,6)=71,(0,4)=75,(1,3)=76,(0,1)=79,(4,6)=84]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=20\",\"Find(4)=3, Find(5)=5, Add (4,5)=19 Succeeded, w=39\",\"Find(2)=3, Find(4)=3, Add (2,4)=25 Failed, w=39\",\"Find(3)=3, Find(6)=6, Add (3,6)=26 Succeeded, w=65\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=98\",\"Find(0)=3, Find(6)=3, Add (0,6)=33 Failed, w=98\",\"Find(2)=3, Find(6)=3, Add (2,6)=34 Failed, w=98\",\"Find(2)=3, Find(5)=3, Add (2,5)=35 Failed, w=98\",\"Find(3)=3, Find(5)=3, Add (3,5)=45 Failed, w=98\",\"Find(1)=1, Find(4)=3, Add (1,4)=58 Succeeded, w=156\",\"Find(1)=3, Find(2)=3, Add (1,2)=64 Failed, w=156\",\"Find(1)=3, Find(6)=3, Add (1,6)=71 Failed, w=156\",\"Find(0)=3, Find(4)=3, Add (0,4)=75 Failed, w=156\",\"Find(1)=3, Find(3)=3, Add (1,3)=76 Failed, w=156\",\"Find(0)=3, Find(1)=3, Add (0,1)=79 Failed, w=156\",\"Find(4)=3, Find(6)=3, Add (4,6)=84 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,3,33],[0,4,75],[0,6,33],[1,2,64],[1,3,76],[1,4,58],[1,6,71],[2,3,16],[2,4,25],[2,5,35],[2,6,34],[3,4,4],[3,5,45],[3,6,26],[4,5,19],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(2,3)=16,(4,5)=19,(2,4)=25,(3,6)=26,(0,3)=33,(0,6)=33,(2,6)=34,(2,5)=35,(3,5)=45,(1,4)=58,(1,2)=64,(1,6)=71,(0,4)=75,(1,3)=76,(0,1)=79,(4,6)=84]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=5, Add (4,5)=19 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(2)=3, Find(4)=3, Add (2,4)=25 Failed, w=39\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=26 Succeeded, w=65\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=98\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=33 Failed, w=98\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=34 Failed, w=98\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=35 Failed, w=98\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=45 Failed, w=98\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(4)=3, Add (1,4)=58 Succeeded, w=156\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=64 Failed, w=156\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=71 Failed, w=156\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=75 Failed, w=156\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=76 Failed, w=156\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=79 Failed, w=156\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=84 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,53],[0,2,96],[0,3,19],[0,4,7],[0,5,23],[0,6,32],[1,2,90],[1,3,62],[1,4,86],[1,5,12],[1,6,6],[2,3,86],[2,4,29],[2,5,1],[2,6,45],[3,4,53],[3,5,42],[3,6,93],[4,5,86],[4,6,2],[5,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,96],[0,3,19],[0,4,7],[0,5,23],[0,6,32],[1,2,90],[1,3,62],[1,4,86],[1,5,12],[1,6,6],[2,3,86],[2,4,29],[2,5,1],[2,6,45],[3,4,53],[3,5,42],[3,6,93],[4,5,86],[4,6,2],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,96],[0,3,19],[0,4,7],[0,5,23],[0,6,32],[1,2,90],[1,3,62],[1,4,86],[1,5,12],[1,6,6],[2,3,86],[2,4,29],[2,5,1],[2,6,45],[3,4,53],[3,5,42],[3,6,93],[4,5,86],[4,6,2],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (0,3)\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,96],[0,3,19],[0,4,7],[0,5,23],[0,6,32],[1,2,90],[1,3,62],[1,4,86],[1,5,12],[1,6,6],[2,3,86],[2,4,29],[2,5,1],[2,6,45],[3,4,53],[3,5,42],[3,6,93],[4,5,86],[4,6,2],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (4,6)=2, w=3\",\"Add (1,6)=6, w=9\",\"Add (0,4)=7, w=16\",\"Add (5,6)=11, w=27\",\"Add (0,3)=19, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,96],[0,3,19],[0,4,7],[0,5,23],[0,6,32],[1,2,90],[1,3,62],[1,4,86],[1,5,12],[1,6,6],[2,3,86],[2,4,29],[2,5,1],[2,6,45],[3,4,53],[3,5,42],[3,6,93],[4,5,86],[4,6,2],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (4,6)=2 Succeeded, w=3\",\"Add (1,6)=6 Succeeded, w=9\",\"Add (0,4)=7 Succeeded, w=16\",\"Add (5,6)=11 Succeeded, w=27\",\"Add (1,5)=12 Failed, w=27\",\"Add (0,3)=19 Succeeded, w=46\",\"Add (0,5)=23 Failed, w=46\",\"Add (2,4)=29 Failed, w=46\",\"Add (0,6)=32 Failed, w=46\",\"Add (3,5)=42 Failed, w=46\",\"Add (2,6)=45 Failed, w=46\",\"Add (0,1)=53 Failed, w=46\",\"Add (3,4)=53 Failed, w=46\",\"Add (1,3)=62 Failed, w=46\",\"Add (1,4)=86 Failed, w=46\",\"Add (2,3)=86 Failed, w=46\",\"Add (4,5)=86 Failed, w=46\",\"Add (1,2)=90 Failed, w=46\",\"Add (3,6)=93 Failed, w=46\",\"Add (0,2)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,96],[0,3,19],[0,4,7],[0,5,23],[0,6,32],[1,2,90],[1,3,62],[1,4,86],[1,5,12],[1,6,6],[2,3,86],[2,4,29],[2,5,1],[2,6,45],[3,4,53],[3,5,42],[3,6,93],[4,5,86],[4,6,2],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,6)=2,(1,6)=6,(0,4)=7,(5,6)=11,(1,5)=12,(0,3)=19,(0,5)=23,(2,4)=29,(0,6)=32,(3,5)=42,(2,6)=45,(0,1)=53,(3,4)=53,(1,3)=62,(1,4)=86,(2,3)=86,(4,5)=86,(1,2)=90,(3,6)=93,(0,2)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=3\",\"Find(1)=1, Find(6)=4, Add (1,6)=6 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=16\",\"Find(5)=2, Find(6)=4, Add (5,6)=11 Succeeded, w=27\",\"Find(1)=2, Find(5)=2, Add (1,5)=12 Failed, w=27\",\"Find(0)=2, Find(3)=3, Add (0,3)=19 Succeeded, w=46\",\"Find(0)=2, Find(5)=2, Add (0,5)=23 Failed, w=46\",\"Find(2)=2, Find(4)=2, Add (2,4)=29 Failed, w=46\",\"Find(0)=2, Find(6)=2, Add (0,6)=32 Failed, w=46\",\"Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=46\",\"Find(2)=2, Find(6)=2, Add (2,6)=45 Failed, w=46\",\"Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=46\",\"Find(3)=2, Find(4)=2, Add (3,4)=53 Failed, w=46\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=46\",\"Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=46\",\"Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=46\",\"Find(4)=2, Find(5)=2, Add (4,5)=86 Failed, w=46\",\"Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=46\",\"Find(3)=2, Find(6)=2, Add (3,6)=93 Failed, w=46\",\"Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,96],[0,3,19],[0,4,7],[0,5,23],[0,6,32],[1,2,90],[1,3,62],[1,4,86],[1,5,12],[1,6,6],[2,3,86],[2,4,29],[2,5,1],[2,6,45],[3,4,53],[3,5,42],[3,6,93],[4,5,86],[4,6,2],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,6)=2,(1,6)=6,(0,4)=7,(5,6)=11,(1,5)=12,(0,3)=19,(0,5)=23,(2,4)=29,(0,6)=32,(3,5)=42,(2,6)=45,(0,1)=53,(3,4)=53,(1,3)=62,(1,4)=86,(2,3)=86,(4,5)=86,(1,2)=90,(3,6)=93,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=6 Succeeded, w=9\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=16\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4}, Find(5)=2, Find(6)=4, Add (5,6)=11 Succeeded, w=27\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4}, Find(1)=2, Find(5)=2, Add (1,5)=12 Failed, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(0)=2, Find(3)=3, Add (0,3)=19 Succeeded, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(0)=2, Find(5)=2, Add (0,5)=23 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(2)=2, Find(4)=2, Add (2,4)=29 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=32 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=45 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=53 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=86 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=93 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,2,0],[0,3,18],[0,6,36],[1,6,61],[1,7,55],[2,3,8],[2,4,0],[2,5,17],[2,6,92],[3,4,100],[3,5,28],[3,7,29],[4,5,61],[6,7,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,0],[0,3,18],[0,6,36],[1,6,61],[1,7,55],[2,3,8],[2,4,0],[2,5,17],[2,6,92],[3,4,100],[3,5,28],[3,7,29],[4,5,61],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,0],[0,3,18],[0,6,36],[1,6,61],[1,7,55],[2,3,8],[2,4,0],[2,5,17],[2,6,92],[3,4,100],[3,5,28],[3,7,29],[4,5,61],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (3,7)\",\"Add (0,6)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,0],[0,3,18],[0,6,36],[1,6,61],[1,7,55],[2,3,8],[2,4,0],[2,5,17],[2,6,92],[3,4,100],[3,5,28],[3,7,29],[4,5,61],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (2,4)=0, w=0\",\"Add (2,3)=8, w=8\",\"Add (2,5)=17, w=25\",\"Add (0,1)=26, w=51\",\"Add (3,7)=29, w=80\",\"Add (0,6)=36, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,0],[0,3,18],[0,6,36],[1,6,61],[1,7,55],[2,3,8],[2,4,0],[2,5,17],[2,6,92],[3,4,100],[3,5,28],[3,7,29],[4,5,61],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (2,4)=0 Succeeded, w=0\",\"Add (2,3)=8 Succeeded, w=8\",\"Add (2,5)=17 Succeeded, w=25\",\"Add (0,3)=18 Failed, w=25\",\"Add (0,1)=26 Succeeded, w=51\",\"Add (3,5)=28 Failed, w=51\",\"Add (3,7)=29 Succeeded, w=80\",\"Add (0,6)=36 Succeeded, w=116\",\"Add (6,7)=54 Failed, w=116\",\"Add (1,7)=55 Failed, w=116\",\"Add (1,6)=61 Failed, w=116\",\"Add (4,5)=61 Failed, w=116\",\"Add (2,6)=92 Failed, w=116\",\"Add (3,4)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,0],[0,3,18],[0,6,36],[1,6,61],[1,7,55],[2,3,8],[2,4,0],[2,5,17],[2,6,92],[3,4,100],[3,5,28],[3,7,29],[4,5,61],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,4)=0,(2,3)=8,(2,5)=17,(0,3)=18,(0,1)=26,(3,5)=28,(3,7)=29,(0,6)=36,(6,7)=54,(1,7)=55,(1,6)=61,(4,5)=61,(2,6)=92,(3,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(2)=0, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(2)=0, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(2)=0, Find(5)=5, Add (2,5)=17 Succeeded, w=25\",\"Find(0)=0, Find(3)=0, Add (0,3)=18 Failed, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=51\",\"Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=51\",\"Find(3)=0, Find(7)=7, Add (3,7)=29 Succeeded, w=80\",\"Find(0)=0, Find(6)=6, Add (0,6)=36 Succeeded, w=116\",\"Find(6)=0, Find(7)=0, Add (6,7)=54 Failed, w=116\",\"Find(1)=0, Find(7)=0, Add (1,7)=55 Failed, w=116\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=116\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=116\",\"Find(2)=0, Find(6)=0, Add (2,6)=92 Failed, w=116\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,0],[0,3,18],[0,6,36],[1,6,61],[1,7,55],[2,3,8],[2,4,0],[2,5,17],[2,6,92],[3,4,100],[3,5,28],[3,7,29],[4,5,61],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,4)=0,(2,3)=8,(2,5)=17,(0,3)=18,(0,1)=26,(3,5)=28,(3,7)=29,(0,6)=36,(6,7)=54,(1,7)=55,(1,6)=61,(4,5)=61,(2,6)=92,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=18 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=29 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=36 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=54 Failed, w=116\",\"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)=55 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=116\",\"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)=92 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,83],[0,3,2],[0,4,11],[1,2,27],[1,3,21],[1,4,2],[2,3,5],[2,4,39],[3,4,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,83],[0,3,2],[0,4,11],[1,2,27],[1,3,21],[1,4,2],[2,3,5],[2,4,39],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,83],[0,3,2],[0,4,11],[1,2,27],[1,3,21],[1,4,2],[2,3,5],[2,4,39],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,83],[0,3,2],[0,4,11],[1,2,27],[1,3,21],[1,4,2],[2,3,5],[2,4,39],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,4)=2, w=4\",\"Add (2,3)=5, w=9\",\"Add (3,4)=10, w=19\"],\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,83],[0,3,2],[0,4,11],[1,2,27],[1,3,21],[1,4,2],[2,3,5],[2,4,39],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,4)=2 Succeeded, w=4\",\"Add (2,3)=5 Succeeded, w=9\",\"Add (3,4)=10 Succeeded, w=19\",\"Add (0,4)=11 Failed, w=19\",\"Add (0,1)=14 Failed, w=19\",\"Add (1,3)=21 Failed, w=19\",\"Add (1,2)=27 Failed, w=19\",\"Add (2,4)=39 Failed, w=19\",\"Add (0,2)=83 Failed, w=19\"],\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,83],[0,3,2],[0,4,11],[1,2,27],[1,3,21],[1,4,2],[2,3,5],[2,4,39],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,4)=2,(2,3)=5,(3,4)=10,(0,4)=11,(0,1)=14,(1,3)=21,(1,2)=27,(2,4)=39,(0,2)=83]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=4\",\"Find(2)=2, Find(3)=0, Add (2,3)=5 Succeeded, w=9\",\"Find(3)=0, Find(4)=1, Add (3,4)=10 Succeeded, w=19\",\"Find(0)=0, Find(4)=0, Add (0,4)=11 Failed, w=19\",\"Find(0)=0, Find(1)=0, Add (0,1)=14 Failed, w=19\",\"Find(1)=0, Find(3)=0, Add (1,3)=21 Failed, w=19\",\"Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=19\",\"Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=19\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=19\"],\"Answer\":19}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,83],[0,3,2],[0,4,11],[1,2,27],[1,3,21],[1,4,2],[2,3,5],[2,4,39],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,4)=2,(2,3)=5,(3,4)=10,(0,4)=11,(0,1)=14,(1,3)=21,(1,2)=27,(2,4)=39,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(2)=2, Find(3)=0, Add (2,3)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(3)=0, Find(4)=1, Add (3,4)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=11 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=14 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=21 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=19\"],\"Answer\":19}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,78],[0,3,23],[0,4,39],[0,5,33],[0,6,25],[1,3,27],[1,5,45],[1,6,27],[2,3,65],[2,4,81],[2,5,67],[2,6,23],[3,4,36],[3,5,81],[3,6,42],[4,5,78],[4,6,40],[5,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,3,23],[0,4,39],[0,5,33],[0,6,25],[1,3,27],[1,5,45],[1,6,27],[2,3,65],[2,4,81],[2,5,67],[2,6,23],[3,4,36],[3,5,81],[3,6,42],[4,5,78],[4,6,40],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,3,23],[0,4,39],[0,5,33],[0,6,25],[1,3,27],[1,5,45],[1,6,27],[2,3,65],[2,4,81],[2,5,67],[2,6,23],[3,4,36],[3,5,81],[3,6,42],[4,5,78],[4,6,40],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,3,23],[0,4,39],[0,5,33],[0,6,25],[1,3,27],[1,5,45],[1,6,27],[2,3,65],[2,4,81],[2,5,67],[2,6,23],[3,4,36],[3,5,81],[3,6,42],[4,5,78],[4,6,40],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=11, w=11\",\"Add (0,3)=23, w=34\",\"Add (2,6)=23, w=57\",\"Add (0,6)=25, w=82\",\"Add (1,3)=27, w=109\",\"Add (3,4)=36, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,3,23],[0,4,39],[0,5,33],[0,6,25],[1,3,27],[1,5,45],[1,6,27],[2,3,65],[2,4,81],[2,5,67],[2,6,23],[3,4,36],[3,5,81],[3,6,42],[4,5,78],[4,6,40],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=11 Succeeded, w=11\",\"Add (0,3)=23 Succeeded, w=34\",\"Add (2,6)=23 Succeeded, w=57\",\"Add (0,6)=25 Succeeded, w=82\",\"Add (1,3)=27 Succeeded, w=109\",\"Add (1,6)=27 Failed, w=109\",\"Add (0,5)=33 Failed, w=109\",\"Add (3,4)=36 Succeeded, w=145\",\"Add (0,4)=39 Failed, w=145\",\"Add (4,6)=40 Failed, w=145\",\"Add (3,6)=42 Failed, w=145\",\"Add (1,5)=45 Failed, w=145\",\"Add (2,3)=65 Failed, w=145\",\"Add (2,5)=67 Failed, w=145\",\"Add (0,1)=78 Failed, w=145\",\"Add (4,5)=78 Failed, w=145\",\"Add (2,4)=81 Failed, w=145\",\"Add (3,5)=81 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,3,23],[0,4,39],[0,5,33],[0,6,25],[1,3,27],[1,5,45],[1,6,27],[2,3,65],[2,4,81],[2,5,67],[2,6,23],[3,4,36],[3,5,81],[3,6,42],[4,5,78],[4,6,40],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=11,(0,3)=23,(2,6)=23,(0,6)=25,(1,3)=27,(1,6)=27,(0,5)=33,(3,4)=36,(0,4)=39,(4,6)=40,(3,6)=42,(1,5)=45,(2,3)=65,(2,5)=67,(0,1)=78,(4,5)=78,(2,4)=81,(3,5)=81]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=34\",\"Find(2)=2, Find(6)=5, Add (2,6)=23 Succeeded, w=57\",\"Find(0)=0, Find(6)=5, Add (0,6)=25 Succeeded, w=82\",\"Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=109\",\"Find(1)=0, Find(6)=0, Add (1,6)=27 Failed, w=109\",\"Find(0)=0, Find(5)=0, Add (0,5)=33 Failed, w=109\",\"Find(3)=0, Find(4)=4, Add (3,4)=36 Succeeded, w=145\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=145\",\"Find(4)=0, Find(6)=0, Add (4,6)=40 Failed, w=145\",\"Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=145\",\"Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=145\",\"Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=145\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=145\",\"Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=145\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=145\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,3,23],[0,4,39],[0,5,33],[0,6,25],[1,3,27],[1,5,45],[1,6,27],[2,3,65],[2,4,81],[2,5,67],[2,6,23],[3,4,36],[3,5,81],[3,6,42],[4,5,78],[4,6,40],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=11,(0,3)=23,(2,6)=23,(0,6)=25,(1,3)=27,(1,6)=27,(0,5)=33,(3,4)=36,(0,4)=39,(4,6)=40,(3,6)=42,(1,5)=45,(2,3)=65,(2,5)=67,(0,1)=78,(4,5)=78,(2,4)=81,(3,5)=81]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=23 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 4, 5: 0, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=25 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 0, 6: 5}, Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=27 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=33 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=4, Add (3,4)=36 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=40 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,3],[0,2,16],[0,3,17],[1,2,1],[1,3,5],[2,3,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,16],[0,3,17],[1,2,1],[1,3,5],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,16],[0,3,17],[1,2,1],[1,3,5],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,16],[0,3,17],[1,2,1],[1,3,5],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,1)=3, w=4\",\"Add (1,3)=5, w=9\"],\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,16],[0,3,17],[1,2,1],[1,3,5],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,1)=3 Succeeded, w=4\",\"Add (1,3)=5 Succeeded, w=9\",\"Add (0,2)=16 Failed, w=9\",\"Add (0,3)=17 Failed, w=9\",\"Add (2,3)=84 Failed, w=9\"],\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,16],[0,3,17],[1,2,1],[1,3,5],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=3,(1,3)=5,(0,2)=16,(0,3)=17,(2,3)=84]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=9\",\"Find(0)=1, Find(2)=1, Add (0,2)=16 Failed, w=9\",\"Find(0)=1, Find(3)=1, Add (0,3)=17 Failed, w=9\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=9\"],\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,16],[0,3,17],[1,2,1],[1,3,5],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=3,(1,3)=5,(0,2)=16,(0,3)=17,(2,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=16 Failed, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=17 Failed, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=9\"],\"Answer\":9}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,20],[0,2,35],[0,4,54],[0,5,48],[1,2,58],[1,3,87],[1,4,63],[1,5,51],[2,3,82],[2,4,62],[2,5,38],[3,4,14],[3,5,18],[4,5,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,35],[0,4,54],[0,5,48],[1,2,58],[1,3,87],[1,4,63],[1,5,51],[2,3,82],[2,4,62],[2,5,38],[3,4,14],[3,5,18],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,35],[0,4,54],[0,5,48],[1,2,58],[1,3,87],[1,4,63],[1,5,51],[2,3,82],[2,4,62],[2,5,38],[3,4,14],[3,5,18],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (2,5)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,35],[0,4,54],[0,5,48],[1,2,58],[1,3,87],[1,4,63],[1,5,51],[2,3,82],[2,4,62],[2,5,38],[3,4,14],[3,5,18],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7, w=7\",\"Add (3,4)=14, w=21\",\"Add (0,1)=20, w=41\",\"Add (0,2)=35, w=76\",\"Add (2,5)=38, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,35],[0,4,54],[0,5,48],[1,2,58],[1,3,87],[1,4,63],[1,5,51],[2,3,82],[2,4,62],[2,5,38],[3,4,14],[3,5,18],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7 Succeeded, w=7\",\"Add (3,4)=14 Succeeded, w=21\",\"Add (3,5)=18 Failed, w=21\",\"Add (0,1)=20 Succeeded, w=41\",\"Add (0,2)=35 Succeeded, w=76\",\"Add (2,5)=38 Succeeded, w=114\",\"Add (0,5)=48 Failed, w=114\",\"Add (1,5)=51 Failed, w=114\",\"Add (0,4)=54 Failed, w=114\",\"Add (1,2)=58 Failed, w=114\",\"Add (2,4)=62 Failed, w=114\",\"Add (1,4)=63 Failed, w=114\",\"Add (2,3)=82 Failed, w=114\",\"Add (1,3)=87 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,35],[0,4,54],[0,5,48],[1,2,58],[1,3,87],[1,4,63],[1,5,51],[2,3,82],[2,4,62],[2,5,38],[3,4,14],[3,5,18],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(3,4)=14,(3,5)=18,(0,1)=20,(0,2)=35,(2,5)=38,(0,5)=48,(1,5)=51,(0,4)=54,(1,2)=58,(2,4)=62,(1,4)=63,(2,3)=82,(1,3)=87]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=21\",\"Find(3)=4, Find(5)=4, Add (3,5)=18 Failed, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=76\",\"Find(2)=0, Find(5)=4, Add (2,5)=38 Succeeded, w=114\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=114\",\"Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=114\",\"Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=114\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=114\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=114\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=114\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,35],[0,4,54],[0,5,48],[1,2,58],[1,3,87],[1,4,63],[1,5,51],[2,3,82],[2,4,62],[2,5,38],[3,4,14],[3,5,18],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(3,4)=14,(3,5)=18,(0,1)=20,(0,2)=35,(2,5)=38,(0,5)=48,(1,5)=51,(0,4)=54,(1,2)=58,(2,4)=62,(1,4)=63,(2,3)=82,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=18 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4}, Find(2)=0, Find(5)=4, Add (2,5)=38 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,59],[0,2,11],[0,3,44],[0,4,50],[0,5,42],[0,6,32],[0,7,68],[1,2,95],[1,3,82],[1,4,46],[1,5,22],[1,6,78],[1,7,27],[2,3,13],[2,4,87],[2,6,4],[2,7,34],[3,4,76],[3,5,33],[3,7,67],[4,5,49],[4,6,52],[4,7,81],[5,7,83],[6,7,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,11],[0,3,44],[0,4,50],[0,5,42],[0,6,32],[0,7,68],[1,2,95],[1,3,82],[1,4,46],[1,5,22],[1,6,78],[1,7,27],[2,3,13],[2,4,87],[2,6,4],[2,7,34],[3,4,76],[3,5,33],[3,7,67],[4,5,49],[4,6,52],[4,7,81],[5,7,83],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,11],[0,3,44],[0,4,50],[0,5,42],[0,6,32],[0,7,68],[1,2,95],[1,3,82],[1,4,46],[1,5,22],[1,6,78],[1,7,27],[2,3,13],[2,4,87],[2,6,4],[2,7,34],[3,4,76],[3,5,33],[3,7,67],[4,5,49],[4,6,52],[4,7,81],[5,7,83],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (1,7)\",\"Add (3,5)\",\"Add (1,4)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,11],[0,3,44],[0,4,50],[0,5,42],[0,6,32],[0,7,68],[1,2,95],[1,3,82],[1,4,46],[1,5,22],[1,6,78],[1,7,27],[2,3,13],[2,4,87],[2,6,4],[2,7,34],[3,4,76],[3,5,33],[3,7,67],[4,5,49],[4,6,52],[4,7,81],[5,7,83],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4, w=4\",\"Add (0,2)=11, w=15\",\"Add (2,3)=13, w=28\",\"Add (1,5)=22, w=50\",\"Add (1,7)=27, w=77\",\"Add (3,5)=33, w=110\",\"Add (1,4)=46, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,11],[0,3,44],[0,4,50],[0,5,42],[0,6,32],[0,7,68],[1,2,95],[1,3,82],[1,4,46],[1,5,22],[1,6,78],[1,7,27],[2,3,13],[2,4,87],[2,6,4],[2,7,34],[3,4,76],[3,5,33],[3,7,67],[4,5,49],[4,6,52],[4,7,81],[5,7,83],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4 Succeeded, w=4\",\"Add (0,2)=11 Succeeded, w=15\",\"Add (2,3)=13 Succeeded, w=28\",\"Add (1,5)=22 Succeeded, w=50\",\"Add (1,7)=27 Succeeded, w=77\",\"Add (0,6)=32 Failed, w=77\",\"Add (3,5)=33 Succeeded, w=110\",\"Add (2,7)=34 Failed, w=110\",\"Add (0,5)=42 Failed, w=110\",\"Add (0,3)=44 Failed, w=110\",\"Add (1,4)=46 Succeeded, w=156\",\"Add (4,5)=49 Failed, w=156\",\"Add (0,4)=50 Failed, w=156\",\"Add (4,6)=52 Failed, w=156\",\"Add (0,1)=59 Failed, w=156\",\"Add (3,7)=67 Failed, w=156\",\"Add (0,7)=68 Failed, w=156\",\"Add (3,4)=76 Failed, w=156\",\"Add (1,6)=78 Failed, w=156\",\"Add (4,7)=81 Failed, w=156\",\"Add (1,3)=82 Failed, w=156\",\"Add (6,7)=82 Failed, w=156\",\"Add (5,7)=83 Failed, w=156\",\"Add (2,4)=87 Failed, w=156\",\"Add (1,2)=95 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,11],[0,3,44],[0,4,50],[0,5,42],[0,6,32],[0,7,68],[1,2,95],[1,3,82],[1,4,46],[1,5,22],[1,6,78],[1,7,27],[2,3,13],[2,4,87],[2,6,4],[2,7,34],[3,4,76],[3,5,33],[3,7,67],[4,5,49],[4,6,52],[4,7,81],[5,7,83],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(0,2)=11,(2,3)=13,(1,5)=22,(1,7)=27,(0,6)=32,(3,5)=33,(2,7)=34,(0,5)=42,(0,3)=44,(1,4)=46,(4,5)=49,(0,4)=50,(4,6)=52,(0,1)=59,(3,7)=67,(0,7)=68,(3,4)=76,(1,6)=78,(4,7)=81,(1,3)=82,(6,7)=82,(5,7)=83,(2,4)=87,(1,2)=95]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=28\",\"Find(1)=1, Find(5)=5, Add (1,5)=22 Succeeded, w=50\",\"Find(1)=1, Find(7)=7, Add (1,7)=27 Succeeded, w=77\",\"Find(0)=2, Find(6)=2, Add (0,6)=32 Failed, w=77\",\"Find(3)=2, Find(5)=1, Add (3,5)=33 Succeeded, w=110\",\"Find(2)=2, Find(7)=2, Add (2,7)=34 Failed, w=110\",\"Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=110\",\"Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=110\",\"Find(1)=2, Find(4)=4, Add (1,4)=46 Succeeded, w=156\",\"Find(4)=2, Find(5)=2, Add (4,5)=49 Failed, w=156\",\"Find(0)=2, Find(4)=2, Add (0,4)=50 Failed, w=156\",\"Find(4)=2, Find(6)=2, Add (4,6)=52 Failed, w=156\",\"Find(0)=2, Find(1)=2, Add (0,1)=59 Failed, w=156\",\"Find(3)=2, Find(7)=2, Add (3,7)=67 Failed, w=156\",\"Find(0)=2, Find(7)=2, Add (0,7)=68 Failed, w=156\",\"Find(3)=2, Find(4)=2, Add (3,4)=76 Failed, w=156\",\"Find(1)=2, Find(6)=2, Add (1,6)=78 Failed, w=156\",\"Find(4)=2, Find(7)=2, Add (4,7)=81 Failed, w=156\",\"Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=156\",\"Find(6)=2, Find(7)=2, Add (6,7)=82 Failed, w=156\",\"Find(5)=2, Find(7)=2, Add (5,7)=83 Failed, w=156\",\"Find(2)=2, Find(4)=2, Add (2,4)=87 Failed, w=156\",\"Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,11],[0,3,44],[0,4,50],[0,5,42],[0,6,32],[0,7,68],[1,2,95],[1,3,82],[1,4,46],[1,5,22],[1,6,78],[1,7,27],[2,3,13],[2,4,87],[2,6,4],[2,7,34],[3,4,76],[3,5,33],[3,7,67],[4,5,49],[4,6,52],[4,7,81],[5,7,83],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(0,2)=11,(2,3)=13,(1,5)=22,(1,7)=27,(0,6)=32,(3,5)=33,(2,7)=34,(0,5)=42,(0,3)=44,(1,4)=46,(4,5)=49,(0,4)=50,(4,6)=52,(0,1)=59,(3,7)=67,(0,7)=68,(3,4)=76,(1,6)=78,(4,7)=81,(1,3)=82,(6,7)=82,(5,7)=83,(2,4)=87,(1,2)=95]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=22 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=27 Succeeded, w=77\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2, 7: 1}, Find(0)=2, Find(6)=2, Add (0,6)=32 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2, 7: 1}, Find(3)=2, Find(5)=1, Add (3,5)=33 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=34 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=4, Add (1,4)=46 Succeeded, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=49 Failed, w=156\",\"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)=50 Failed, w=156\",\"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)=52 Failed, w=156\",\"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)=59 Failed, w=156\",\"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)=67 Failed, w=156\",\"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)=68 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=76 Failed, w=156\",\"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)=78 Failed, w=156\",\"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)=81 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=156\",\"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)=82 Failed, w=156\",\"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)=83 Failed, w=156\",\"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)=87 Failed, w=156\",\"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)=95 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,1],[0,2,32],[0,3,52],[0,4,39],[0,5,48],[1,3,32],[1,5,59],[1,6,28],[2,3,20],[2,4,35],[2,5,39],[2,6,76],[3,4,79],[3,5,39],[3,6,35],[4,5,12],[4,6,73],[5,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,32],[0,3,52],[0,4,39],[0,5,48],[1,3,32],[1,5,59],[1,6,28],[2,3,20],[2,4,35],[2,5,39],[2,6,76],[3,4,79],[3,5,39],[3,6,35],[4,5,12],[4,6,73],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,32],[0,3,52],[0,4,39],[0,5,48],[1,3,32],[1,5,59],[1,6,28],[2,3,20],[2,4,35],[2,5,39],[2,6,76],[3,4,79],[3,5,39],[3,6,35],[4,5,12],[4,6,73],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (5,6)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (0,2)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,32],[0,3,52],[0,4,39],[0,5,48],[1,3,32],[1,5,59],[1,6,28],[2,3,20],[2,4,35],[2,5,39],[2,6,76],[3,4,79],[3,5,39],[3,6,35],[4,5,12],[4,6,73],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (5,6)=3, w=4\",\"Add (4,5)=12, w=16\",\"Add (2,3)=20, w=36\",\"Add (1,6)=28, w=64\",\"Add (0,2)=32, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,32],[0,3,52],[0,4,39],[0,5,48],[1,3,32],[1,5,59],[1,6,28],[2,3,20],[2,4,35],[2,5,39],[2,6,76],[3,4,79],[3,5,39],[3,6,35],[4,5,12],[4,6,73],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (5,6)=3 Succeeded, w=4\",\"Add (4,5)=12 Succeeded, w=16\",\"Add (2,3)=20 Succeeded, w=36\",\"Add (1,6)=28 Succeeded, w=64\",\"Add (0,2)=32 Succeeded, w=96\",\"Add (1,3)=32 Failed, w=96\",\"Add (2,4)=35 Failed, w=96\",\"Add (3,6)=35 Failed, w=96\",\"Add (0,4)=39 Failed, w=96\",\"Add (2,5)=39 Failed, w=96\",\"Add (3,5)=39 Failed, w=96\",\"Add (0,5)=48 Failed, w=96\",\"Add (0,3)=52 Failed, w=96\",\"Add (1,5)=59 Failed, w=96\",\"Add (4,6)=73 Failed, w=96\",\"Add (2,6)=76 Failed, w=96\",\"Add (3,4)=79 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,32],[0,3,52],[0,4,39],[0,5,48],[1,3,32],[1,5,59],[1,6,28],[2,3,20],[2,4,35],[2,5,39],[2,6,76],[3,4,79],[3,5,39],[3,6,35],[4,5,12],[4,6,73],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(5,6)=3,(4,5)=12,(2,3)=20,(1,6)=28,(0,2)=32,(1,3)=32,(2,4)=35,(3,6)=35,(0,4)=39,(2,5)=39,(3,5)=39,(0,5)=48,(0,3)=52,(1,5)=59,(4,6)=73,(2,6)=76,(3,4)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=4\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=16\",\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=36\",\"Find(1)=0, Find(6)=5, Add (1,6)=28 Succeeded, w=64\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=96\",\"Find(3)=0, Find(6)=0, Add (3,6)=35 Failed, w=96\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=96\",\"Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=96\",\"Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=96\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=96\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=96\",\"Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=96\",\"Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=96\",\"Find(2)=0, Find(6)=0, Add (2,6)=76 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,32],[0,3,52],[0,4,39],[0,5,48],[1,3,32],[1,5,59],[1,6,28],[2,3,20],[2,4,35],[2,5,39],[2,6,76],[3,4,79],[3,5,39],[3,6,35],[4,5,12],[4,6,73],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(5,6)=3,(4,5)=12,(2,3)=20,(1,6)=28,(0,2)=32,(1,3)=32,(2,4)=35,(3,6)=35,(0,4)=39,(2,5)=39,(3,5)=39,(0,5)=48,(0,3)=52,(1,5)=59,(4,6)=73,(2,6)=76,(3,4)=79]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 5, 5: 0, 6: 5}, Find(1)=0, Find(6)=5, Add (1,6)=28 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 5, 5: 0, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 5}, Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=35 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=76 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,33],[0,3,66],[0,4,53],[0,5,27],[0,7,64],[1,6,7],[2,3,49],[2,4,16],[2,7,72],[3,4,86],[3,7,71],[4,6,15],[4,7,16],[5,6,22],[5,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,3,66],[0,4,53],[0,5,27],[0,7,64],[1,6,7],[2,3,49],[2,4,16],[2,7,72],[3,4,86],[3,7,71],[4,6,15],[4,7,16],[5,6,22],[5,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,3,66],[0,4,53],[0,5,27],[0,7,64],[1,6,7],[2,3,49],[2,4,16],[2,7,72],[3,4,86],[3,7,71],[4,6,15],[4,7,16],[5,6,22],[5,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (4,7)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,3,66],[0,4,53],[0,5,27],[0,7,64],[1,6,7],[2,3,49],[2,4,16],[2,7,72],[3,4,86],[3,7,71],[4,6,15],[4,7,16],[5,6,22],[5,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=7, w=7\",\"Add (4,6)=15, w=22\",\"Add (2,4)=16, w=38\",\"Add (4,7)=16, w=54\",\"Add (5,6)=22, w=76\",\"Add (0,5)=27, w=103\",\"Add (2,3)=49, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,3,66],[0,4,53],[0,5,27],[0,7,64],[1,6,7],[2,3,49],[2,4,16],[2,7,72],[3,4,86],[3,7,71],[4,6,15],[4,7,16],[5,6,22],[5,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=7 Succeeded, w=7\",\"Add (4,6)=15 Succeeded, w=22\",\"Add (2,4)=16 Succeeded, w=38\",\"Add (4,7)=16 Succeeded, w=54\",\"Add (5,6)=22 Succeeded, w=76\",\"Add (0,5)=27 Succeeded, w=103\",\"Add (0,2)=33 Failed, w=103\",\"Add (2,3)=49 Succeeded, w=152\",\"Add (0,4)=53 Failed, w=152\",\"Add (0,7)=64 Failed, w=152\",\"Add (0,3)=66 Failed, w=152\",\"Add (3,7)=71 Failed, w=152\",\"Add (2,7)=72 Failed, w=152\",\"Add (3,4)=86 Failed, w=152\",\"Add (5,7)=88 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,3,66],[0,4,53],[0,5,27],[0,7,64],[1,6,7],[2,3,49],[2,4,16],[2,7,72],[3,4,86],[3,7,71],[4,6,15],[4,7,16],[5,6,22],[5,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=7,(4,6)=15,(2,4)=16,(4,7)=16,(5,6)=22,(0,5)=27,(0,2)=33,(2,3)=49,(0,4)=53,(0,7)=64,(0,3)=66,(3,7)=71,(2,7)=72,(3,4)=86,(5,7)=88]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=7\",\"Find(4)=4, Find(6)=1, Add (4,6)=15 Succeeded, w=22\",\"Find(2)=2, Find(4)=1, Add (2,4)=16 Succeeded, w=38\",\"Find(4)=1, Find(7)=7, Add (4,7)=16 Succeeded, w=54\",\"Find(5)=5, Find(6)=1, Add (5,6)=22 Succeeded, w=76\",\"Find(0)=0, Find(5)=1, Add (0,5)=27 Succeeded, w=103\",\"Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=103\",\"Find(2)=1, Find(3)=3, Add (2,3)=49 Succeeded, w=152\",\"Find(0)=1, Find(4)=1, Add (0,4)=53 Failed, w=152\",\"Find(0)=1, Find(7)=1, Add (0,7)=64 Failed, w=152\",\"Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=152\",\"Find(3)=1, Find(7)=1, Add (3,7)=71 Failed, w=152\",\"Find(2)=1, Find(7)=1, Add (2,7)=72 Failed, w=152\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=152\",\"Find(5)=1, Find(7)=1, Add (5,7)=88 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,33],[0,3,66],[0,4,53],[0,5,27],[0,7,64],[1,6,7],[2,3,49],[2,4,16],[2,7,72],[3,4,86],[3,7,71],[4,6,15],[4,7,16],[5,6,22],[5,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=7,(4,6)=15,(2,4)=16,(4,7)=16,(5,6)=22,(0,5)=27,(0,2)=33,(2,3)=49,(0,4)=53,(0,7)=64,(0,3)=66,(3,7)=71,(2,7)=72,(3,4)=86,(5,7)=88]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=4, Find(6)=1, Add (4,6)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(4)=1, Add (2,4)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=16 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(6)=1, Add (5,6)=22 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=27 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=3, Add (2,3)=49 Succeeded, w=152\",\"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)=53 Failed, w=152\",\"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)=64 Failed, w=152\",\"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)=66 Failed, w=152\",\"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)=71 Failed, w=152\",\"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)=72 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=152\",\"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)=88 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,11],[0,2,65],[0,3,35],[0,4,55],[0,5,69],[1,2,66],[1,3,94],[1,4,72],[1,5,10],[1,6,90],[2,3,45],[2,4,33],[2,5,14],[2,6,55],[3,5,90],[4,5,41],[4,6,38],[5,6,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,65],[0,3,35],[0,4,55],[0,5,69],[1,2,66],[1,3,94],[1,4,72],[1,5,10],[1,6,90],[2,3,45],[2,4,33],[2,5,14],[2,6,55],[3,5,90],[4,5,41],[4,6,38],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,65],[0,3,35],[0,4,55],[0,5,69],[1,2,66],[1,3,94],[1,4,72],[1,5,10],[1,6,90],[2,3,45],[2,4,33],[2,5,14],[2,6,55],[3,5,90],[4,5,41],[4,6,38],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,65],[0,3,35],[0,4,55],[0,5,69],[1,2,66],[1,3,94],[1,4,72],[1,5,10],[1,6,90],[2,3,45],[2,4,33],[2,5,14],[2,6,55],[3,5,90],[4,5,41],[4,6,38],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10, w=10\",\"Add (0,1)=11, w=21\",\"Add (2,5)=14, w=35\",\"Add (2,4)=33, w=68\",\"Add (0,3)=35, w=103\",\"Add (4,6)=38, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,65],[0,3,35],[0,4,55],[0,5,69],[1,2,66],[1,3,94],[1,4,72],[1,5,10],[1,6,90],[2,3,45],[2,4,33],[2,5,14],[2,6,55],[3,5,90],[4,5,41],[4,6,38],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10 Succeeded, w=10\",\"Add (0,1)=11 Succeeded, w=21\",\"Add (2,5)=14 Succeeded, w=35\",\"Add (2,4)=33 Succeeded, w=68\",\"Add (0,3)=35 Succeeded, w=103\",\"Add (4,6)=38 Succeeded, w=141\",\"Add (5,6)=38 Failed, w=141\",\"Add (4,5)=41 Failed, w=141\",\"Add (2,3)=45 Failed, w=141\",\"Add (0,4)=55 Failed, w=141\",\"Add (2,6)=55 Failed, w=141\",\"Add (0,2)=65 Failed, w=141\",\"Add (1,2)=66 Failed, w=141\",\"Add (0,5)=69 Failed, w=141\",\"Add (1,4)=72 Failed, w=141\",\"Add (1,6)=90 Failed, w=141\",\"Add (3,5)=90 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\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,65],[0,3,35],[0,4,55],[0,5,69],[1,2,66],[1,3,94],[1,4,72],[1,5,10],[1,6,90],[2,3,45],[2,4,33],[2,5,14],[2,6,55],[3,5,90],[4,5,41],[4,6,38],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(0,1)=11,(2,5)=14,(2,4)=33,(0,3)=35,(4,6)=38,(5,6)=38,(4,5)=41,(2,3)=45,(0,4)=55,(2,6)=55,(0,2)=65,(1,2)=66,(0,5)=69,(1,4)=72,(1,6)=90,(3,5)=90,(1,3)=94]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=21\",\"Find(2)=2, Find(5)=1, Add (2,5)=14 Succeeded, w=35\",\"Find(2)=1, Find(4)=4, Add (2,4)=33 Succeeded, w=68\",\"Find(0)=1, Find(3)=3, Add (0,3)=35 Succeeded, w=103\",\"Find(4)=1, Find(6)=6, Add (4,6)=38 Succeeded, w=141\",\"Find(5)=1, Find(6)=1, Add (5,6)=38 Failed, w=141\",\"Find(4)=1, Find(5)=1, Add (4,5)=41 Failed, w=141\",\"Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=141\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=141\",\"Find(2)=1, Find(6)=1, Add (2,6)=55 Failed, w=141\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=141\",\"Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=141\",\"Find(0)=1, Find(5)=1, Add (0,5)=69 Failed, w=141\",\"Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=141\",\"Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=141\",\"Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=141\",\"Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,65],[0,3,35],[0,4,55],[0,5,69],[1,2,66],[1,3,94],[1,4,72],[1,5,10],[1,6,90],[2,3,45],[2,4,33],[2,5,14],[2,6,55],[3,5,90],[4,5,41],[4,6,38],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(0,1)=11,(2,5)=14,(2,4)=33,(0,3)=35,(4,6)=38,(5,6)=38,(4,5)=41,(2,3)=45,(0,4)=55,(2,6)=55,(0,2)=65,(1,2)=66,(0,5)=69,(1,4)=72,(1,6)=90,(3,5)=90,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(2)=2, Find(5)=1, Add (2,5)=14 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(4)=4, Add (2,4)=33 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(3)=3, Add (0,3)=35 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=38 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=38 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=41 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=55 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=69 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,89],[0,3,92],[0,5,88],[0,6,53],[1,3,80],[1,5,32],[2,5,71],[3,4,27],[3,5,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,92],[0,5,88],[0,6,53],[1,3,80],[1,5,32],[2,5,71],[3,4,27],[3,5,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,92],[0,5,88],[0,6,53],[1,3,80],[1,5,32],[2,5,71],[3,4,27],[3,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (0,5)\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,92],[0,5,88],[0,6,53],[1,3,80],[1,5,32],[2,5,71],[3,4,27],[3,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (3,4)=27, w=28\",\"Add (1,5)=32, w=60\",\"Add (0,6)=53, w=113\",\"Add (2,5)=71, w=184\",\"Add (0,5)=88, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,92],[0,5,88],[0,6,53],[1,3,80],[1,5,32],[2,5,71],[3,4,27],[3,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (3,4)=27 Succeeded, w=28\",\"Add (1,5)=32 Succeeded, w=60\",\"Add (0,6)=53 Succeeded, w=113\",\"Add (2,5)=71 Succeeded, w=184\",\"Add (1,3)=80 Failed, w=184\",\"Add (0,5)=88 Succeeded, w=272\",\"Add (0,1)=89 Failed, w=272\",\"Add (0,3)=92 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,92],[0,5,88],[0,6,53],[1,3,80],[1,5,32],[2,5,71],[3,4,27],[3,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(3,4)=27,(1,5)=32,(0,6)=53,(2,5)=71,(1,3)=80,(0,5)=88,(0,1)=89,(0,3)=92]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=28\",\"Find(1)=1, Find(5)=3, Add (1,5)=32 Succeeded, w=60\",\"Find(0)=0, Find(6)=6, Add (0,6)=53 Succeeded, w=113\",\"Find(2)=2, Find(5)=3, Add (2,5)=71 Succeeded, w=184\",\"Find(1)=3, Find(3)=3, Add (1,3)=80 Failed, w=184\",\"Find(0)=0, Find(5)=3, Add (0,5)=88 Succeeded, w=272\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=272\",\"Find(0)=0, Find(3)=0, Add (0,3)=92 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,92],[0,5,88],[0,6,53],[1,3,80],[1,5,32],[2,5,71],[3,4,27],[3,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(3,4)=27,(1,5)=32,(0,6)=53,(2,5)=71,(1,3)=80,(0,5)=88,(0,1)=89,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=28\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(5)=3, Add (1,5)=32 Succeeded, w=60\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=53 Succeeded, w=113\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(2)=2, Find(5)=3, Add (2,5)=71 Succeeded, w=184\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(1)=3, Find(3)=3, Add (1,3)=80 Failed, w=184\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(5)=3, Add (0,5)=88 Succeeded, w=272\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=92 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,67],[0,3,97],[0,4,24],[0,5,88],[0,6,9],[1,2,91],[1,3,9],[1,4,64],[1,6,29],[1,7,86],[2,3,65],[2,4,68],[2,5,4],[2,7,24],[3,4,46],[3,5,90],[3,6,52],[3,7,42],[4,5,77],[4,6,65],[4,7,21],[5,6,92],[5,7,26],[6,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,67],[0,3,97],[0,4,24],[0,5,88],[0,6,9],[1,2,91],[1,3,9],[1,4,64],[1,6,29],[1,7,86],[2,3,65],[2,4,68],[2,5,4],[2,7,24],[3,4,46],[3,5,90],[3,6,52],[3,7,42],[4,5,77],[4,6,65],[4,7,21],[5,6,92],[5,7,26],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,67],[0,3,97],[0,4,24],[0,5,88],[0,6,9],[1,2,91],[1,3,9],[1,4,64],[1,6,29],[1,7,86],[2,3,65],[2,4,68],[2,5,4],[2,7,24],[3,4,46],[3,5,90],[3,6,52],[3,7,42],[4,5,77],[4,6,65],[4,7,21],[5,6,92],[5,7,26],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (6,7)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (4,7)\",\"Add (2,7)\",\"Add (1,6)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,67],[0,3,97],[0,4,24],[0,5,88],[0,6,9],[1,2,91],[1,3,9],[1,4,64],[1,6,29],[1,7,86],[2,3,65],[2,4,68],[2,5,4],[2,7,24],[3,4,46],[3,5,90],[3,6,52],[3,7,42],[4,5,77],[4,6,65],[4,7,21],[5,6,92],[5,7,26],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (6,7)=4, w=8\",\"Add (0,6)=9, w=17\",\"Add (1,3)=9, w=26\",\"Add (4,7)=21, w=47\",\"Add (2,7)=24, w=71\",\"Add (1,6)=29, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,67],[0,3,97],[0,4,24],[0,5,88],[0,6,9],[1,2,91],[1,3,9],[1,4,64],[1,6,29],[1,7,86],[2,3,65],[2,4,68],[2,5,4],[2,7,24],[3,4,46],[3,5,90],[3,6,52],[3,7,42],[4,5,77],[4,6,65],[4,7,21],[5,6,92],[5,7,26],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (6,7)=4 Succeeded, w=8\",\"Add (0,6)=9 Succeeded, w=17\",\"Add (1,3)=9 Succeeded, w=26\",\"Add (4,7)=21 Succeeded, w=47\",\"Add (0,4)=24 Failed, w=47\",\"Add (2,7)=24 Succeeded, w=71\",\"Add (5,7)=26 Failed, w=71\",\"Add (1,6)=29 Succeeded, w=100\",\"Add (3,7)=42 Failed, w=100\",\"Add (3,4)=46 Failed, w=100\",\"Add (3,6)=52 Failed, w=100\",\"Add (0,1)=60 Failed, w=100\",\"Add (1,4)=64 Failed, w=100\",\"Add (2,3)=65 Failed, w=100\",\"Add (4,6)=65 Failed, w=100\",\"Add (0,2)=67 Failed, w=100\",\"Add (2,4)=68 Failed, w=100\",\"Add (4,5)=77 Failed, w=100\",\"Add (1,7)=86 Failed, w=100\",\"Add (0,5)=88 Failed, w=100\",\"Add (3,5)=90 Failed, w=100\",\"Add (1,2)=91 Failed, w=100\",\"Add (5,6)=92 Failed, w=100\",\"Add (0,3)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,67],[0,3,97],[0,4,24],[0,5,88],[0,6,9],[1,2,91],[1,3,9],[1,4,64],[1,6,29],[1,7,86],[2,3,65],[2,4,68],[2,5,4],[2,7,24],[3,4,46],[3,5,90],[3,6,52],[3,7,42],[4,5,77],[4,6,65],[4,7,21],[5,6,92],[5,7,26],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(6,7)=4,(0,6)=9,(1,3)=9,(4,7)=21,(0,4)=24,(2,7)=24,(5,7)=26,(1,6)=29,(3,7)=42,(3,4)=46,(3,6)=52,(0,1)=60,(1,4)=64,(2,3)=65,(4,6)=65,(0,2)=67,(2,4)=68,(4,5)=77,(1,7)=86,(0,5)=88,(3,5)=90,(1,2)=91,(5,6)=92,(0,3)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=26\",\"Find(4)=4, Find(7)=6, Add (4,7)=21 Succeeded, w=47\",\"Find(0)=6, Find(4)=6, Add (0,4)=24 Failed, w=47\",\"Find(2)=2, Find(7)=6, Add (2,7)=24 Succeeded, w=71\",\"Find(5)=2, Find(7)=2, Add (5,7)=26 Failed, w=71\",\"Find(1)=1, Find(6)=2, Add (1,6)=29 Succeeded, w=100\",\"Find(3)=2, Find(7)=2, Add (3,7)=42 Failed, w=100\",\"Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=100\",\"Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=100\",\"Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=100\",\"Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=100\",\"Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=100\",\"Find(4)=2, Find(6)=2, Add (4,6)=65 Failed, w=100\",\"Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=100\",\"Find(2)=2, Find(4)=2, Add (2,4)=68 Failed, w=100\",\"Find(4)=2, Find(5)=2, Add (4,5)=77 Failed, w=100\",\"Find(1)=2, Find(7)=2, Add (1,7)=86 Failed, w=100\",\"Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=100\",\"Find(3)=2, Find(5)=2, Add (3,5)=90 Failed, w=100\",\"Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=100\",\"Find(5)=2, Find(6)=2, Add (5,6)=92 Failed, w=100\",\"Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,67],[0,3,97],[0,4,24],[0,5,88],[0,6,9],[1,2,91],[1,3,9],[1,4,64],[1,6,29],[1,7,86],[2,3,65],[2,4,68],[2,5,4],[2,7,24],[3,4,46],[3,5,90],[3,6,52],[3,7,42],[4,5,77],[4,6,65],[4,7,21],[5,6,92],[5,7,26],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(6,7)=4,(0,6)=9,(1,3)=9,(4,7)=21,(0,4)=24,(2,7)=24,(5,7)=26,(1,6)=29,(3,7)=42,(3,4)=46,(3,6)=52,(0,1)=60,(1,4)=64,(2,3)=65,(4,6)=65,(0,2)=67,(2,4)=68,(4,5)=77,(1,7)=86,(0,5)=88,(3,5)=90,(1,2)=91,(5,6)=92,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=8\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=17\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6, 7: 6}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=26\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 1, 4: 6, 5: 2, 6: 6, 7: 6}, Find(4)=4, Find(7)=6, Add (4,7)=21 Succeeded, w=47\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 1, 4: 6, 5: 2, 6: 6, 7: 6}, Find(0)=6, Find(4)=6, Add (0,4)=24 Failed, w=47\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 1, 4: 6, 5: 2, 6: 2, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=24 Succeeded, w=71\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 1, 4: 6, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=26 Failed, w=71\",\"Parent: {0: 6, 1: 2, 2: 2, 3: 1, 4: 6, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(6)=2, Add (1,6)=29 Succeeded, w=100\",\"Parent: {0: 6, 1: 2, 2: 2, 3: 2, 4: 6, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=42 Failed, w=100\",\"Parent: {0: 6, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=100\",\"Parent: {0: 6, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=100\",\"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)=64 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=100\",\"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)=65 Failed, w=100\",\"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)=67 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=68 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=77 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=86 Failed, w=100\",\"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)=88 Failed, w=100\",\"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)=90 Failed, w=100\",\"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)=91 Failed, w=100\",\"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)=92 Failed, w=100\",\"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)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,45],[0,3,70],[0,5,79],[1,3,26],[1,4,61],[2,3,83],[2,4,92],[2,5,90],[3,4,0],[3,5,61],[4,5,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,70],[0,5,79],[1,3,26],[1,4,61],[2,3,83],[2,4,92],[2,5,90],[3,4,0],[3,5,61],[4,5,1]]}",
"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\":[[0,1,45],[0,3,70],[0,5,79],[1,3,26],[1,4,61],[2,3,83],[2,4,92],[2,5,90],[3,4,0],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,70],[0,5,79],[1,3,26],[1,4,61],[2,3,83],[2,4,92],[2,5,90],[3,4,0],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (4,5)=1, w=1\",\"Add (1,3)=26, w=27\",\"Add (0,1)=45, w=72\",\"Add (2,3)=83, 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\":[[0,1,45],[0,3,70],[0,5,79],[1,3,26],[1,4,61],[2,3,83],[2,4,92],[2,5,90],[3,4,0],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (4,5)=1 Succeeded, w=1\",\"Add (1,3)=26 Succeeded, w=27\",\"Add (0,1)=45 Succeeded, w=72\",\"Add (1,4)=61 Failed, w=72\",\"Add (3,5)=61 Failed, w=72\",\"Add (0,3)=70 Failed, w=72\",\"Add (0,5)=79 Failed, w=72\",\"Add (2,3)=83 Succeeded, w=155\",\"Add (2,5)=90 Failed, w=155\",\"Add (2,4)=92 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\":[[0,1,45],[0,3,70],[0,5,79],[1,3,26],[1,4,61],[2,3,83],[2,4,92],[2,5,90],[3,4,0],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(4,5)=1,(1,3)=26,(0,1)=45,(1,4)=61,(3,5)=61,(0,3)=70,(0,5)=79,(2,3)=83,(2,5)=90,(2,4)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(4)=3, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=27\",\"Find(0)=0, Find(1)=3, Add (0,1)=45 Succeeded, w=72\",\"Find(1)=3, Find(4)=3, Add (1,4)=61 Failed, w=72\",\"Find(3)=3, Find(5)=3, Add (3,5)=61 Failed, w=72\",\"Find(0)=3, Find(3)=3, Add (0,3)=70 Failed, w=72\",\"Find(0)=3, Find(5)=3, Add (0,5)=79 Failed, w=72\",\"Find(2)=2, Find(3)=3, Add (2,3)=83 Succeeded, w=155\",\"Find(2)=3, Find(5)=3, Add (2,5)=90 Failed, w=155\",\"Find(2)=3, Find(4)=3, Add (2,4)=92 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\":[[0,1,45],[0,3,70],[0,5,79],[1,3,26],[1,4,61],[2,3,83],[2,4,92],[2,5,90],[3,4,0],[3,5,61],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(4,5)=1,(1,3)=26,(0,1)=45,(1,4)=61,(3,5)=61,(0,3)=70,(0,5)=79,(2,3)=83,(2,5)=90,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=27\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(1)=3, Add (0,1)=45 Succeeded, w=72\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=61 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=61 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=70 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=79 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=83 Succeeded, w=155\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=90 Failed, w=155\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=92 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,83],[0,3,22],[0,5,2],[1,2,94],[1,4,60],[2,3,6],[2,6,81],[3,5,4],[3,6,50],[4,5,6],[4,6,91],[5,6,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,3,22],[0,5,2],[1,2,94],[1,4,60],[2,3,6],[2,6,81],[3,5,4],[3,6,50],[4,5,6],[4,6,91],[5,6,38]]}",
"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\":[[0,1,83],[0,3,22],[0,5,2],[1,2,94],[1,4,60],[2,3,6],[2,6,81],[3,5,4],[3,6,50],[4,5,6],[4,6,91],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (1,4)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,3,22],[0,5,2],[1,2,94],[1,4,60],[2,3,6],[2,6,81],[3,5,4],[3,6,50],[4,5,6],[4,6,91],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (3,5)=4, w=6\",\"Add (2,3)=6, w=12\",\"Add (4,5)=6, w=18\",\"Add (5,6)=38, w=56\",\"Add (1,4)=60, 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\":[[0,1,83],[0,3,22],[0,5,2],[1,2,94],[1,4,60],[2,3,6],[2,6,81],[3,5,4],[3,6,50],[4,5,6],[4,6,91],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (3,5)=4 Succeeded, w=6\",\"Add (2,3)=6 Succeeded, w=12\",\"Add (4,5)=6 Succeeded, w=18\",\"Add (0,3)=22 Failed, w=18\",\"Add (5,6)=38 Succeeded, w=56\",\"Add (3,6)=50 Failed, w=56\",\"Add (1,4)=60 Succeeded, w=116\",\"Add (2,6)=81 Failed, w=116\",\"Add (0,1)=83 Failed, w=116\",\"Add (4,6)=91 Failed, w=116\",\"Add (1,2)=94 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\":[[0,1,83],[0,3,22],[0,5,2],[1,2,94],[1,4,60],[2,3,6],[2,6,81],[3,5,4],[3,6,50],[4,5,6],[4,6,91],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(3,5)=4,(2,3)=6,(4,5)=6,(0,3)=22,(5,6)=38,(3,6)=50,(1,4)=60,(2,6)=81,(0,1)=83,(4,6)=91,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=0, Add (3,5)=4 Succeeded, w=6\",\"Find(2)=2, Find(3)=0, Add (2,3)=6 Succeeded, w=12\",\"Find(4)=4, Find(5)=0, Add (4,5)=6 Succeeded, w=18\",\"Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=18\",\"Find(5)=0, Find(6)=6, Add (5,6)=38 Succeeded, w=56\",\"Find(3)=0, Find(6)=0, Add (3,6)=50 Failed, w=56\",\"Find(1)=1, Find(4)=0, Add (1,4)=60 Succeeded, w=116\",\"Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=116\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=116\",\"Find(4)=0, Find(6)=0, Add (4,6)=91 Failed, w=116\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 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\":[[0,1,83],[0,3,22],[0,5,2],[1,2,94],[1,4,60],[2,3,6],[2,6,81],[3,5,4],[3,6,50],[4,5,6],[4,6,91],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(3,5)=4,(2,3)=6,(4,5)=6,(0,3)=22,(5,6)=38,(3,6)=50,(1,4)=60,(2,6)=81,(0,1)=83,(4,6)=91,(1,2)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=6 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=38 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=50 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=60 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=83 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)=91 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)=94 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,51],[0,5,51],[0,6,72],[1,2,73],[2,3,69],[2,4,34],[3,5,41],[3,6,91],[4,6,71],[5,6,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,51],[0,5,51],[0,6,72],[1,2,73],[2,3,69],[2,4,34],[3,5,41],[3,6,91],[4,6,71],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,51],[0,5,51],[0,6,72],[1,2,73],[2,3,69],[2,4,34],[3,5,41],[3,6,91],[4,6,71],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (1,2)\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,51],[0,5,51],[0,6,72],[1,2,73],[2,3,69],[2,4,34],[3,5,41],[3,6,91],[4,6,71],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=34, w=34\",\"Add (3,5)=41, w=75\",\"Add (0,4)=51, w=126\",\"Add (0,5)=51, w=177\",\"Add (4,6)=71, w=248\",\"Add (1,2)=73, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,51],[0,5,51],[0,6,72],[1,2,73],[2,3,69],[2,4,34],[3,5,41],[3,6,91],[4,6,71],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=34 Succeeded, w=34\",\"Add (3,5)=41 Succeeded, w=75\",\"Add (0,4)=51 Succeeded, w=126\",\"Add (0,5)=51 Succeeded, w=177\",\"Add (2,3)=69 Failed, w=177\",\"Add (4,6)=71 Succeeded, w=248\",\"Add (0,6)=72 Failed, w=248\",\"Add (1,2)=73 Succeeded, w=321\",\"Add (5,6)=77 Failed, w=321\",\"Add (3,6)=91 Failed, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,51],[0,5,51],[0,6,72],[1,2,73],[2,3,69],[2,4,34],[3,5,41],[3,6,91],[4,6,71],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=34,(3,5)=41,(0,4)=51,(0,5)=51,(2,3)=69,(4,6)=71,(0,6)=72,(1,2)=73,(5,6)=77,(3,6)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=34\",\"Find(3)=3, Find(5)=5, Add (3,5)=41 Succeeded, w=75\",\"Find(0)=0, Find(4)=2, Add (0,4)=51 Succeeded, w=126\",\"Find(0)=2, Find(5)=3, Add (0,5)=51 Succeeded, w=177\",\"Find(2)=2, Find(3)=2, Add (2,3)=69 Failed, w=177\",\"Find(4)=2, Find(6)=6, Add (4,6)=71 Succeeded, w=248\",\"Find(0)=2, Find(6)=2, Add (0,6)=72 Failed, w=248\",\"Find(1)=1, Find(2)=2, Add (1,2)=73 Succeeded, w=321\",\"Find(5)=2, Find(6)=2, Add (5,6)=77 Failed, w=321\",\"Find(3)=2, Find(6)=2, Add (3,6)=91 Failed, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,51],[0,5,51],[0,6,72],[1,2,73],[2,3,69],[2,4,34],[3,5,41],[3,6,91],[4,6,71],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=34,(3,5)=41,(0,4)=51,(0,5)=51,(2,3)=69,(4,6)=71,(0,6)=72,(1,2)=73,(5,6)=77,(3,6)=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)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=41 Succeeded, w=75\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(0)=0, Find(4)=2, Add (0,4)=51 Succeeded, w=126\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 6}, Find(0)=2, Find(5)=3, Add (0,5)=51 Succeeded, w=177\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 6}, Find(2)=2, Find(3)=2, Add (2,3)=69 Failed, w=177\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=71 Succeeded, w=248\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=72 Failed, w=248\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=73 Succeeded, w=321\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=77 Failed, w=321\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=91 Failed, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,5],[0,3,48],[0,4,99],[1,2,61],[1,3,73],[1,4,61],[2,3,51],[2,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,48],[0,4,99],[1,2,61],[1,3,73],[1,4,61],[2,3,51],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,48],[0,4,99],[1,2,61],[1,3,73],[1,4,61],[2,3,51],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,48],[0,4,99],[1,2,61],[1,3,73],[1,4,61],[2,3,51],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (0,3)=48, w=53\",\"Add (2,4)=59, w=112\",\"Add (1,2)=61, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,48],[0,4,99],[1,2,61],[1,3,73],[1,4,61],[2,3,51],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (0,3)=48 Succeeded, w=53\",\"Add (2,3)=51 Failed, w=53\",\"Add (2,4)=59 Succeeded, w=112\",\"Add (1,2)=61 Succeeded, w=173\",\"Add (1,4)=61 Failed, w=173\",\"Add (1,3)=73 Failed, w=173\",\"Add (0,4)=99 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,48],[0,4,99],[1,2,61],[1,3,73],[1,4,61],[2,3,51],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,3)=48,(2,3)=51,(2,4)=59,(1,2)=61,(1,4)=61,(1,3)=73,(0,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=53\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=53\",\"Find(2)=0, Find(4)=4, Add (2,4)=59 Succeeded, w=112\",\"Find(1)=1, Find(2)=0, Add (1,2)=61 Succeeded, w=173\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=173\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=173\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,48],[0,4,99],[1,2,61],[1,3,73],[1,4,61],[2,3,51],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,3)=48,(2,3)=51,(2,4)=59,(1,2)=61,(1,4)=61,(1,3)=73,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=59 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=61 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,70],[0,3,58],[0,4,79],[0,5,54],[0,6,26],[1,2,85],[1,3,46],[1,4,36],[1,5,5],[1,6,79],[2,3,80],[2,4,26],[2,5,75],[2,6,51],[3,4,75],[3,5,88],[3,6,50],[4,5,17],[4,6,50],[5,6,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,70],[0,3,58],[0,4,79],[0,5,54],[0,6,26],[1,2,85],[1,3,46],[1,4,36],[1,5,5],[1,6,79],[2,3,80],[2,4,26],[2,5,75],[2,6,51],[3,4,75],[3,5,88],[3,6,50],[4,5,17],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,70],[0,3,58],[0,4,79],[0,5,54],[0,6,26],[1,2,85],[1,3,46],[1,4,36],[1,5,5],[1,6,79],[2,3,80],[2,4,26],[2,5,75],[2,6,51],[3,4,75],[3,5,88],[3,6,50],[4,5,17],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (3,6)\"],\"Answer\":170}",
"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],[0,2,70],[0,3,58],[0,4,79],[0,5,54],[0,6,26],[1,2,85],[1,3,46],[1,4,36],[1,5,5],[1,6,79],[2,3,80],[2,4,26],[2,5,75],[2,6,51],[3,4,75],[3,5,88],[3,6,50],[4,5,17],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5, w=5\",\"Add (4,5)=17, w=22\",\"Add (0,6)=26, w=48\",\"Add (2,4)=26, w=74\",\"Add (1,3)=46, w=120\",\"Add (3,6)=50, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,70],[0,3,58],[0,4,79],[0,5,54],[0,6,26],[1,2,85],[1,3,46],[1,4,36],[1,5,5],[1,6,79],[2,3,80],[2,4,26],[2,5,75],[2,6,51],[3,4,75],[3,5,88],[3,6,50],[4,5,17],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5 Succeeded, w=5\",\"Add (4,5)=17 Succeeded, w=22\",\"Add (0,6)=26 Succeeded, w=48\",\"Add (2,4)=26 Succeeded, w=74\",\"Add (1,4)=36 Failed, w=74\",\"Add (1,3)=46 Succeeded, w=120\",\"Add (3,6)=50 Succeeded, w=170\",\"Add (4,6)=50 Failed, w=170\",\"Add (2,6)=51 Failed, w=170\",\"Add (0,5)=54 Failed, w=170\",\"Add (0,3)=58 Failed, w=170\",\"Add (0,2)=70 Failed, w=170\",\"Add (2,5)=75 Failed, w=170\",\"Add (3,4)=75 Failed, w=170\",\"Add (0,4)=79 Failed, w=170\",\"Add (1,6)=79 Failed, w=170\",\"Add (2,3)=80 Failed, w=170\",\"Add (0,1)=84 Failed, w=170\",\"Add (1,2)=85 Failed, w=170\",\"Add (3,5)=88 Failed, w=170\",\"Add (5,6)=96 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,70],[0,3,58],[0,4,79],[0,5,54],[0,6,26],[1,2,85],[1,3,46],[1,4,36],[1,5,5],[1,6,79],[2,3,80],[2,4,26],[2,5,75],[2,6,51],[3,4,75],[3,5,88],[3,6,50],[4,5,17],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(4,5)=17,(0,6)=26,(2,4)=26,(1,4)=36,(1,3)=46,(3,6)=50,(4,6)=50,(2,6)=51,(0,5)=54,(0,3)=58,(0,2)=70,(2,5)=75,(3,4)=75,(0,4)=79,(1,6)=79,(2,3)=80,(0,1)=84,(1,2)=85,(3,5)=88,(5,6)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=1, Add (4,5)=17 Succeeded, w=22\",\"Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=48\",\"Find(2)=2, Find(4)=1, Add (2,4)=26 Succeeded, w=74\",\"Find(1)=1, Find(4)=1, Add (1,4)=36 Failed, w=74\",\"Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=120\",\"Find(3)=1, Find(6)=0, Add (3,6)=50 Succeeded, w=170\",\"Find(4)=1, Find(6)=1, Add (4,6)=50 Failed, w=170\",\"Find(2)=1, Find(6)=1, Add (2,6)=51 Failed, w=170\",\"Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=170\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=170\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=170\",\"Find(2)=1, Find(5)=1, Add (2,5)=75 Failed, w=170\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=170\",\"Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=170\",\"Find(1)=1, Find(6)=1, Add (1,6)=79 Failed, w=170\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=170\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=170\",\"Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=170\",\"Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=170\",\"Find(5)=1, Find(6)=1, Add (5,6)=96 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,70],[0,3,58],[0,4,79],[0,5,54],[0,6,26],[1,2,85],[1,3,46],[1,4,36],[1,5,5],[1,6,79],[2,3,80],[2,4,26],[2,5,75],[2,6,51],[3,4,75],[3,5,88],[3,6,50],[4,5,17],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(4,5)=17,(0,6)=26,(2,4)=26,(1,4)=36,(1,3)=46,(3,6)=50,(4,6)=50,(2,6)=51,(0,5)=54,(0,3)=58,(0,2)=70,(2,5)=75,(3,4)=75,(0,4)=79,(1,6)=79,(2,3)=80,(0,1)=84,(1,2)=85,(3,5)=88,(5,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(4)=4, Find(5)=1, Add (4,5)=17 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0}, Find(2)=2, Find(4)=1, Add (2,4)=26 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0}, Find(1)=1, Find(4)=1, Add (1,4)=36 Failed, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(3)=1, Find(6)=0, Add (3,6)=50 Succeeded, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=50 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=51 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=75 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=79 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=170\",\"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=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=96 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,18],[0,3,76],[0,4,84],[0,5,12],[0,6,4],[0,7,16],[1,2,44],[1,3,7],[1,4,98],[1,5,57],[1,6,18],[1,7,51],[2,3,90],[2,4,84],[2,5,54],[2,6,73],[2,7,30],[3,4,34],[3,5,30],[3,6,25],[3,7,27],[4,5,68],[4,6,15],[4,7,23],[5,6,44],[5,7,41],[6,7,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,76],[0,4,84],[0,5,12],[0,6,4],[0,7,16],[1,2,44],[1,3,7],[1,4,98],[1,5,57],[1,6,18],[1,7,51],[2,3,90],[2,4,84],[2,5,54],[2,6,73],[2,7,30],[3,4,34],[3,5,30],[3,6,25],[3,7,27],[4,5,68],[4,6,15],[4,7,23],[5,6,44],[5,7,41],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,76],[0,4,84],[0,5,12],[0,6,4],[0,7,16],[1,2,44],[1,3,7],[1,4,98],[1,5,57],[1,6,18],[1,7,51],[2,3,90],[2,4,84],[2,5,54],[2,6,73],[2,7,30],[3,4,34],[3,5,30],[3,6,25],[3,7,27],[4,5,68],[4,6,15],[4,7,23],[5,6,44],[5,7,41],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (0,7)\",\"Add (0,2)\",\"Add (1,6)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,76],[0,4,84],[0,5,12],[0,6,4],[0,7,16],[1,2,44],[1,3,7],[1,4,98],[1,5,57],[1,6,18],[1,7,51],[2,3,90],[2,4,84],[2,5,54],[2,6,73],[2,7,30],[3,4,34],[3,5,30],[3,6,25],[3,7,27],[4,5,68],[4,6,15],[4,7,23],[5,6,44],[5,7,41],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4, w=4\",\"Add (1,3)=7, w=11\",\"Add (0,5)=12, w=23\",\"Add (4,6)=15, w=38\",\"Add (0,7)=16, w=54\",\"Add (0,2)=18, w=72\",\"Add (1,6)=18, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,76],[0,4,84],[0,5,12],[0,6,4],[0,7,16],[1,2,44],[1,3,7],[1,4,98],[1,5,57],[1,6,18],[1,7,51],[2,3,90],[2,4,84],[2,5,54],[2,6,73],[2,7,30],[3,4,34],[3,5,30],[3,6,25],[3,7,27],[4,5,68],[4,6,15],[4,7,23],[5,6,44],[5,7,41],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4 Succeeded, w=4\",\"Add (1,3)=7 Succeeded, w=11\",\"Add (0,5)=12 Succeeded, w=23\",\"Add (4,6)=15 Succeeded, w=38\",\"Add (0,7)=16 Succeeded, w=54\",\"Add (0,2)=18 Succeeded, w=72\",\"Add (1,6)=18 Succeeded, w=90\",\"Add (4,7)=23 Failed, w=90\",\"Add (3,6)=25 Failed, w=90\",\"Add (3,7)=27 Failed, w=90\",\"Add (2,7)=30 Failed, w=90\",\"Add (3,5)=30 Failed, w=90\",\"Add (3,4)=34 Failed, w=90\",\"Add (5,7)=41 Failed, w=90\",\"Add (1,2)=44 Failed, w=90\",\"Add (5,6)=44 Failed, w=90\",\"Add (1,7)=51 Failed, w=90\",\"Add (2,5)=54 Failed, w=90\",\"Add (1,5)=57 Failed, w=90\",\"Add (4,5)=68 Failed, w=90\",\"Add (2,6)=73 Failed, w=90\",\"Add (0,3)=76 Failed, w=90\",\"Add (0,4)=84 Failed, w=90\",\"Add (2,4)=84 Failed, w=90\",\"Add (2,3)=90 Failed, w=90\",\"Add (6,7)=94 Failed, w=90\",\"Add (1,4)=98 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,76],[0,4,84],[0,5,12],[0,6,4],[0,7,16],[1,2,44],[1,3,7],[1,4,98],[1,5,57],[1,6,18],[1,7,51],[2,3,90],[2,4,84],[2,5,54],[2,6,73],[2,7,30],[3,4,34],[3,5,30],[3,6,25],[3,7,27],[4,5,68],[4,6,15],[4,7,23],[5,6,44],[5,7,41],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(1,3)=7,(0,5)=12,(4,6)=15,(0,7)=16,(0,2)=18,(1,6)=18,(4,7)=23,(3,6)=25,(3,7)=27,(2,7)=30,(3,5)=30,(3,4)=34,(5,7)=41,(1,2)=44,(5,6)=44,(1,7)=51,(2,5)=54,(1,5)=57,(4,5)=68,(2,6)=73,(0,3)=76,(0,4)=84,(2,4)=84,(2,3)=90,(6,7)=94,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=11\",\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=23\",\"Find(4)=4, Find(6)=0, Add (4,6)=15 Succeeded, w=38\",\"Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=54\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=72\",\"Find(1)=1, Find(6)=0, Add (1,6)=18 Succeeded, w=90\",\"Find(4)=1, Find(7)=1, Add (4,7)=23 Failed, w=90\",\"Find(3)=1, Find(6)=1, Add (3,6)=25 Failed, w=90\",\"Find(3)=1, Find(7)=1, Add (3,7)=27 Failed, w=90\",\"Find(2)=1, Find(7)=1, Add (2,7)=30 Failed, w=90\",\"Find(3)=1, Find(5)=1, Add (3,5)=30 Failed, w=90\",\"Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=90\",\"Find(5)=1, Find(7)=1, Add (5,7)=41 Failed, w=90\",\"Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=90\",\"Find(5)=1, Find(6)=1, Add (5,6)=44 Failed, w=90\",\"Find(1)=1, Find(7)=1, Add (1,7)=51 Failed, w=90\",\"Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=90\",\"Find(1)=1, Find(5)=1, Add (1,5)=57 Failed, w=90\",\"Find(4)=1, Find(5)=1, Add (4,5)=68 Failed, w=90\",\"Find(2)=1, Find(6)=1, Add (2,6)=73 Failed, w=90\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=90\",\"Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=90\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=90\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=90\",\"Find(6)=1, Find(7)=1, Add (6,7)=94 Failed, w=90\",\"Find(1)=1, Find(4)=1, Add (1,4)=98 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,18],[0,3,76],[0,4,84],[0,5,12],[0,6,4],[0,7,16],[1,2,44],[1,3,7],[1,4,98],[1,5,57],[1,6,18],[1,7,51],[2,3,90],[2,4,84],[2,5,54],[2,6,73],[2,7,30],[3,4,34],[3,5,30],[3,6,25],[3,7,27],[4,5,68],[4,6,15],[4,7,23],[5,6,44],[5,7,41],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(1,3)=7,(0,5)=12,(4,6)=15,(0,7)=16,(0,2)=18,(1,6)=18,(4,7)=23,(3,6)=25,(3,7)=27,(2,7)=30,(3,5)=30,(3,4)=34,(5,7)=41,(1,2)=44,(5,6)=44,(1,7)=51,(2,5)=54,(1,5)=57,(4,5)=68,(2,6)=73,(0,3)=76,(0,4)=84,(2,4)=84,(2,3)=90,(6,7)=94,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=4, Find(6)=0, Add (4,6)=15 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(6)=0, Add (1,6)=18 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 0, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=23 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=25 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=27 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=30 Failed, w=90\",\"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)=30 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=90\",\"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)=41 Failed, w=90\",\"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=90\",\"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=90\",\"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)=51 Failed, w=90\",\"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)=54 Failed, w=90\",\"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)=57 Failed, w=90\",\"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)=68 Failed, w=90\",\"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)=73 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=90\",\"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=90\",\"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)=84 Failed, w=90\",\"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)=90 Failed, w=90\",\"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)=94 Failed, w=90\",\"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)=98 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,15],[0,3,14],[0,5,71],[1,2,16],[1,3,53],[1,4,57],[1,5,11],[1,6,61],[2,3,52],[2,6,27],[3,4,23],[4,6,33],[5,6,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,3,14],[0,5,71],[1,2,16],[1,3,53],[1,4,57],[1,5,11],[1,6,61],[2,3,52],[2,6,27],[3,4,23],[4,6,33],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,3,14],[0,5,71],[1,2,16],[1,3,53],[1,4,57],[1,5,11],[1,6,61],[2,3,52],[2,6,27],[3,4,23],[4,6,33],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (2,6)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,3,14],[0,5,71],[1,2,16],[1,3,53],[1,4,57],[1,5,11],[1,6,61],[2,3,52],[2,6,27],[3,4,23],[4,6,33],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11, w=11\",\"Add (0,3)=14, w=25\",\"Add (0,1)=15, w=40\",\"Add (1,2)=16, w=56\",\"Add (3,4)=23, w=79\",\"Add (2,6)=27, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,3,14],[0,5,71],[1,2,16],[1,3,53],[1,4,57],[1,5,11],[1,6,61],[2,3,52],[2,6,27],[3,4,23],[4,6,33],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11 Succeeded, w=11\",\"Add (0,3)=14 Succeeded, w=25\",\"Add (0,1)=15 Succeeded, w=40\",\"Add (1,2)=16 Succeeded, w=56\",\"Add (3,4)=23 Succeeded, w=79\",\"Add (2,6)=27 Succeeded, w=106\",\"Add (4,6)=33 Failed, w=106\",\"Add (2,3)=52 Failed, w=106\",\"Add (1,3)=53 Failed, w=106\",\"Add (1,4)=57 Failed, w=106\",\"Add (1,6)=61 Failed, w=106\",\"Add (0,5)=71 Failed, w=106\",\"Add (5,6)=88 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,3,14],[0,5,71],[1,2,16],[1,3,53],[1,4,57],[1,5,11],[1,6,61],[2,3,52],[2,6,27],[3,4,23],[4,6,33],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(0,3)=14,(0,1)=15,(1,2)=16,(3,4)=23,(2,6)=27,(4,6)=33,(2,3)=52,(1,3)=53,(1,4)=57,(1,6)=61,(0,5)=71,(5,6)=88]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=40\",\"Find(1)=0, Find(2)=2, Add (1,2)=16 Succeeded, w=56\",\"Find(3)=0, Find(4)=4, Add (3,4)=23 Succeeded, w=79\",\"Find(2)=0, Find(6)=6, Add (2,6)=27 Succeeded, w=106\",\"Find(4)=0, Find(6)=0, Add (4,6)=33 Failed, w=106\",\"Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=106\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=106\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=106\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=106\",\"Find(0)=0, Find(5)=0, Add (0,5)=71 Failed, w=106\",\"Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,3,14],[0,5,71],[1,2,16],[1,3,53],[1,4,57],[1,5,11],[1,6,61],[2,3,52],[2,6,27],[3,4,23],[4,6,33],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(0,3)=14,(0,1)=15,(1,2)=16,(3,4)=23,(2,6)=27,(4,6)=33,(2,3)=52,(1,3)=53,(1,4)=57,(1,6)=61,(0,5)=71,(5,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 1, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=16 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=23 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=27 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=33 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=71 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,11],[0,3,60],[0,4,14],[1,2,9],[1,3,57],[1,4,62],[2,3,58],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,11],[0,3,60],[0,4,14],[1,2,9],[1,3,57],[1,4,62],[2,3,58],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,11],[0,3,60],[0,4,14],[1,2,9],[1,3,57],[1,4,62],[2,3,58],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,11],[0,3,60],[0,4,14],[1,2,9],[1,3,57],[1,4,62],[2,3,58],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (0,2)=11, w=20\",\"Add (0,4)=14, w=34\",\"Add (1,3)=57, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,11],[0,3,60],[0,4,14],[1,2,9],[1,3,57],[1,4,62],[2,3,58],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (0,2)=11 Succeeded, w=20\",\"Add (0,4)=14 Succeeded, w=34\",\"Add (1,3)=57 Succeeded, w=91\",\"Add (2,3)=58 Failed, w=91\",\"Add (0,3)=60 Failed, w=91\",\"Add (1,4)=62 Failed, w=91\",\"Add (0,1)=80 Failed, w=91\",\"Add (3,4)=99 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,11],[0,3,60],[0,4,14],[1,2,9],[1,3,57],[1,4,62],[2,3,58],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(0,2)=11,(0,4)=14,(1,3)=57,(2,3)=58,(0,3)=60,(1,4)=62,(0,1)=80,(3,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=20\",\"Find(0)=1, Find(4)=4, Add (0,4)=14 Succeeded, w=34\",\"Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=91\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=91\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=91\",\"Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=91\",\"Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=91\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,11],[0,3,60],[0,4,14],[1,2,9],[1,3,57],[1,4,62],[2,3,58],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(0,2)=11,(0,4)=14,(1,3)=57,(2,3)=58,(0,3)=60,(1,4)=62,(0,1)=80,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=14 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,16],[0,5,6],[1,2,63],[1,3,30],[1,4,71],[1,5,80],[1,6,38],[2,4,56],[2,5,80],[2,6,87],[3,4,68],[3,6,82],[4,5,89],[4,6,6],[5,6,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,16],[0,5,6],[1,2,63],[1,3,30],[1,4,71],[1,5,80],[1,6,38],[2,4,56],[2,5,80],[2,6,87],[3,4,68],[3,6,82],[4,5,89],[4,6,6],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,16],[0,5,6],[1,2,63],[1,3,30],[1,4,71],[1,5,80],[1,6,38],[2,4,56],[2,5,80],[2,6,87],[3,4,68],[3,6,82],[4,5,89],[4,6,6],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (2,4)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,16],[0,5,6],[1,2,63],[1,3,30],[1,4,71],[1,5,80],[1,6,38],[2,4,56],[2,5,80],[2,6,87],[3,4,68],[3,6,82],[4,5,89],[4,6,6],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6, w=6\",\"Add (4,6)=6, w=12\",\"Add (0,4)=16, w=28\",\"Add (1,3)=30, w=58\",\"Add (1,6)=38, w=96\",\"Add (2,4)=56, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,16],[0,5,6],[1,2,63],[1,3,30],[1,4,71],[1,5,80],[1,6,38],[2,4,56],[2,5,80],[2,6,87],[3,4,68],[3,6,82],[4,5,89],[4,6,6],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6 Succeeded, w=6\",\"Add (4,6)=6 Succeeded, w=12\",\"Add (0,4)=16 Succeeded, w=28\",\"Add (1,3)=30 Succeeded, w=58\",\"Add (1,6)=38 Succeeded, w=96\",\"Add (2,4)=56 Succeeded, w=152\",\"Add (1,2)=63 Failed, w=152\",\"Add (5,6)=67 Failed, w=152\",\"Add (3,4)=68 Failed, w=152\",\"Add (1,4)=71 Failed, w=152\",\"Add (1,5)=80 Failed, w=152\",\"Add (2,5)=80 Failed, w=152\",\"Add (3,6)=82 Failed, w=152\",\"Add (2,6)=87 Failed, w=152\",\"Add (4,5)=89 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,16],[0,5,6],[1,2,63],[1,3,30],[1,4,71],[1,5,80],[1,6,38],[2,4,56],[2,5,80],[2,6,87],[3,4,68],[3,6,82],[4,5,89],[4,6,6],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(4,6)=6,(0,4)=16,(1,3)=30,(1,6)=38,(2,4)=56,(1,2)=63,(5,6)=67,(3,4)=68,(1,4)=71,(1,5)=80,(2,5)=80,(3,6)=82,(2,6)=87,(4,5)=89]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=58\",\"Find(1)=1, Find(6)=0, Add (1,6)=38 Succeeded, w=96\",\"Find(2)=2, Find(4)=0, Add (2,4)=56 Succeeded, w=152\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=152\",\"Find(5)=0, Find(6)=0, Add (5,6)=67 Failed, w=152\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=152\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=152\",\"Find(1)=0, Find(5)=0, Add (1,5)=80 Failed, w=152\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=152\",\"Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=152\",\"Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=152\",\"Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,16],[0,5,6],[1,2,63],[1,3,30],[1,4,71],[1,5,80],[1,6,38],[2,4,56],[2,5,80],[2,6,87],[3,4,68],[3,6,82],[4,5,89],[4,6,6],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(4,6)=6,(0,4)=16,(1,3)=30,(1,6)=38,(2,4)=56,(1,2)=63,(5,6)=67,(3,4)=68,(1,4)=71,(1,5)=80,(2,5)=80,(3,6)=82,(2,6)=87,(4,5)=89]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 4}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=38 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=56 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=67 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=80 Failed, w=152\",\"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=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[0,2,69],[0,3,89],[1,2,54],[1,3,35],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,69],[0,3,89],[1,2,54],[1,3,35],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,69],[0,3,89],[1,2,54],[1,3,35],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,69],[0,3,89],[1,2,54],[1,3,35],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (1,3)=35, w=50\",\"Add (1,2)=54, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,69],[0,3,89],[1,2,54],[1,3,35],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (1,3)=35 Succeeded, w=50\",\"Add (1,2)=54 Succeeded, w=104\",\"Add (0,2)=69 Failed, w=104\",\"Add (2,3)=74 Failed, w=104\",\"Add (0,3)=89 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,69],[0,3,89],[1,2,54],[1,3,35],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(1,3)=35,(1,2)=54,(0,2)=69,(2,3)=74,(0,3)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(1)=0, Find(3)=3, Add (1,3)=35 Succeeded, w=50\",\"Find(1)=0, Find(2)=2, Add (1,2)=54 Succeeded, w=104\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=104\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=104\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,69],[0,3,89],[1,2,54],[1,3,35],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(1,3)=35,(1,2)=54,(0,2)=69,(2,3)=74,(0,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=35 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=54 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,25],[0,4,29],[1,2,49],[1,3,42],[1,4,51],[3,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,4,29],[1,2,49],[1,3,42],[1,4,51],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,4,29],[1,2,49],[1,3,42],[1,4,51],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,4,29],[1,2,49],[1,3,42],[1,4,51],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=25, w=25\",\"Add (3,4)=25, w=50\",\"Add (0,4)=29, w=79\",\"Add (1,2)=49, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,4,29],[1,2,49],[1,3,42],[1,4,51],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=25 Succeeded, w=25\",\"Add (3,4)=25 Succeeded, w=50\",\"Add (0,4)=29 Succeeded, w=79\",\"Add (1,3)=42 Failed, w=79\",\"Add (1,2)=49 Succeeded, w=128\",\"Add (1,4)=51 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,4,29],[1,2,49],[1,3,42],[1,4,51],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=25,(3,4)=25,(0,4)=29,(1,3)=42,(1,2)=49,(1,4)=51]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=25\",\"Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=50\",\"Find(0)=0, Find(4)=3, Add (0,4)=29 Succeeded, w=79\",\"Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=79\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=128\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,4,29],[1,2,49],[1,3,42],[1,4,51],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=25,(3,4)=25,(0,4)=29,(1,3)=42,(1,2)=49,(1,4)=51]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=29 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,17],[0,2,54],[0,3,47],[0,4,12],[1,2,37],[1,3,86],[1,4,10],[1,5,44],[2,3,7],[2,4,29],[2,5,100],[3,4,76],[3,5,6],[4,5,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,54],[0,3,47],[0,4,12],[1,2,37],[1,3,86],[1,4,10],[1,5,44],[2,3,7],[2,4,29],[2,5,100],[3,4,76],[3,5,6],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,54],[0,3,47],[0,4,12],[1,2,37],[1,3,86],[1,4,10],[1,5,44],[2,3,7],[2,4,29],[2,5,100],[3,4,76],[3,5,6],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,54],[0,3,47],[0,4,12],[1,2,37],[1,3,86],[1,4,10],[1,5,44],[2,3,7],[2,4,29],[2,5,100],[3,4,76],[3,5,6],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6, w=6\",\"Add (2,3)=7, w=13\",\"Add (1,4)=10, w=23\",\"Add (0,4)=12, w=35\",\"Add (2,4)=29, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,54],[0,3,47],[0,4,12],[1,2,37],[1,3,86],[1,4,10],[1,5,44],[2,3,7],[2,4,29],[2,5,100],[3,4,76],[3,5,6],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6 Succeeded, w=6\",\"Add (2,3)=7 Succeeded, w=13\",\"Add (1,4)=10 Succeeded, w=23\",\"Add (0,4)=12 Succeeded, w=35\",\"Add (0,1)=17 Failed, w=35\",\"Add (2,4)=29 Succeeded, w=64\",\"Add (1,2)=37 Failed, w=64\",\"Add (1,5)=44 Failed, w=64\",\"Add (0,3)=47 Failed, w=64\",\"Add (0,2)=54 Failed, w=64\",\"Add (4,5)=64 Failed, w=64\",\"Add (3,4)=76 Failed, w=64\",\"Add (1,3)=86 Failed, w=64\",\"Add (2,5)=100 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,54],[0,3,47],[0,4,12],[1,2,37],[1,3,86],[1,4,10],[1,5,44],[2,3,7],[2,4,29],[2,5,100],[3,4,76],[3,5,6],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(2,3)=7,(1,4)=10,(0,4)=12,(0,1)=17,(2,4)=29,(1,2)=37,(1,5)=44,(0,3)=47,(0,2)=54,(4,5)=64,(3,4)=76,(1,3)=86,(2,5)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=13\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=23\",\"Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=35\",\"Find(0)=1, Find(1)=1, Add (0,1)=17 Failed, w=35\",\"Find(2)=3, Find(4)=1, Add (2,4)=29 Succeeded, w=64\",\"Find(1)=3, Find(2)=3, Add (1,2)=37 Failed, w=64\",\"Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=64\",\"Find(0)=3, Find(3)=3, Add (0,3)=47 Failed, w=64\",\"Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=64\",\"Find(4)=3, Find(5)=3, Add (4,5)=64 Failed, w=64\",\"Find(3)=3, Find(4)=3, Add (3,4)=76 Failed, w=64\",\"Find(1)=3, Find(3)=3, Add (1,3)=86 Failed, w=64\",\"Find(2)=3, Find(5)=3, Add (2,5)=100 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,54],[0,3,47],[0,4,12],[1,2,37],[1,3,86],[1,4,10],[1,5,44],[2,3,7],[2,4,29],[2,5,100],[3,4,76],[3,5,6],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(2,3)=7,(1,4)=10,(0,4)=12,(0,1)=17,(2,4)=29,(1,2)=37,(1,5)=44,(0,3)=47,(0,2)=54,(4,5)=64,(3,4)=76,(1,3)=86,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=17 Failed, w=35\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3}, Find(2)=3, Find(4)=1, Add (2,4)=29 Succeeded, w=64\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=37 Failed, w=64\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=47 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=64 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=76 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=86 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=100 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,61],[0,3,71],[0,4,81],[1,2,37],[1,3,25],[1,4,76],[2,3,1],[2,4,89],[3,4,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,71],[0,4,81],[1,2,37],[1,3,25],[1,4,76],[2,3,1],[2,4,89],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,71],[0,4,81],[1,2,37],[1,3,25],[1,4,76],[2,3,1],[2,4,89],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,71],[0,4,81],[1,2,37],[1,3,25],[1,4,76],[2,3,1],[2,4,89],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (3,4)=17, w=18\",\"Add (1,3)=25, w=43\",\"Add (0,1)=39, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,71],[0,4,81],[1,2,37],[1,3,25],[1,4,76],[2,3,1],[2,4,89],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (3,4)=17 Succeeded, w=18\",\"Add (1,3)=25 Succeeded, w=43\",\"Add (1,2)=37 Failed, w=43\",\"Add (0,1)=39 Succeeded, w=82\",\"Add (0,2)=61 Failed, w=82\",\"Add (0,3)=71 Failed, w=82\",\"Add (1,4)=76 Failed, w=82\",\"Add (0,4)=81 Failed, w=82\",\"Add (2,4)=89 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,71],[0,4,81],[1,2,37],[1,3,25],[1,4,76],[2,3,1],[2,4,89],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(3,4)=17,(1,3)=25,(1,2)=37,(0,1)=39,(0,2)=61,(0,3)=71,(1,4)=76,(0,4)=81,(2,4)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(3)=2, Find(4)=4, Add (3,4)=17 Succeeded, w=18\",\"Find(1)=1, Find(3)=2, Add (1,3)=25 Succeeded, w=43\",\"Find(1)=2, Find(2)=2, Add (1,2)=37 Failed, w=43\",\"Find(0)=0, Find(1)=2, Add (0,1)=39 Succeeded, w=82\",\"Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=82\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=82\",\"Find(1)=2, Find(4)=2, Add (1,4)=76 Failed, w=82\",\"Find(0)=2, Find(4)=2, Add (0,4)=81 Failed, w=82\",\"Find(2)=2, Find(4)=2, Add (2,4)=89 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,71],[0,4,81],[1,2,37],[1,3,25],[1,4,76],[2,3,1],[2,4,89],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(3,4)=17,(1,3)=25,(1,2)=37,(0,1)=39,(0,2)=61,(0,3)=71,(1,4)=76,(0,4)=81,(2,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=17 Succeeded, w=18\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=25 Succeeded, w=43\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=37 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=39 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=76 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=81 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=89 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,3],[0,2,5],[0,3,95],[1,2,41],[1,3,32],[2,3,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,5],[0,3,95],[1,2,41],[1,3,32],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,5],[0,3,95],[1,2,41],[1,3,32],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,5],[0,3,95],[1,2,41],[1,3,32],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,2)=5, w=8\",\"Add (1,3)=32, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,5],[0,3,95],[1,2,41],[1,3,32],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,2)=5 Succeeded, w=8\",\"Add (1,3)=32 Succeeded, w=40\",\"Add (1,2)=41 Failed, w=40\",\"Add (2,3)=84 Failed, w=40\",\"Add (0,3)=95 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,5],[0,3,95],[1,2,41],[1,3,32],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=5,(1,3)=32,(1,2)=41,(2,3)=84,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=8\",\"Find(1)=0, Find(3)=3, Add (1,3)=32 Succeeded, w=40\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=40\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=40\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,5],[0,3,95],[1,2,41],[1,3,32],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=5,(1,3)=32,(1,2)=41,(2,3)=84,(0,3)=95]\",\"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)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=32 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,0],[0,2,22],[0,3,41],[0,4,92],[0,5,43],[0,6,23],[1,3,86],[1,6,39],[2,4,14],[2,5,23],[2,7,97],[3,4,69],[3,5,22],[3,6,25],[3,7,69],[4,7,17],[6,7,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,22],[0,3,41],[0,4,92],[0,5,43],[0,6,23],[1,3,86],[1,6,39],[2,4,14],[2,5,23],[2,7,97],[3,4,69],[3,5,22],[3,6,25],[3,7,69],[4,7,17],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,22],[0,3,41],[0,4,92],[0,5,43],[0,6,23],[1,3,86],[1,6,39],[2,4,14],[2,5,23],[2,7,97],[3,4,69],[3,5,22],[3,6,25],[3,7,69],[4,7,17],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (4,7)\",\"Add (6,7)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (2,5)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,22],[0,3,41],[0,4,92],[0,5,43],[0,6,23],[1,3,86],[1,6,39],[2,4,14],[2,5,23],[2,7,97],[3,4,69],[3,5,22],[3,6,25],[3,7,69],[4,7,17],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (2,4)=14, w=14\",\"Add (4,7)=17, w=31\",\"Add (6,7)=17, w=48\",\"Add (0,2)=22, w=70\",\"Add (3,5)=22, w=92\",\"Add (2,5)=23, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,22],[0,3,41],[0,4,92],[0,5,43],[0,6,23],[1,3,86],[1,6,39],[2,4,14],[2,5,23],[2,7,97],[3,4,69],[3,5,22],[3,6,25],[3,7,69],[4,7,17],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (2,4)=14 Succeeded, w=14\",\"Add (4,7)=17 Succeeded, w=31\",\"Add (6,7)=17 Succeeded, w=48\",\"Add (0,2)=22 Succeeded, w=70\",\"Add (3,5)=22 Succeeded, w=92\",\"Add (0,6)=23 Failed, w=92\",\"Add (2,5)=23 Succeeded, w=115\",\"Add (3,6)=25 Failed, w=115\",\"Add (1,6)=39 Failed, w=115\",\"Add (0,3)=41 Failed, w=115\",\"Add (0,5)=43 Failed, w=115\",\"Add (3,4)=69 Failed, w=115\",\"Add (3,7)=69 Failed, w=115\",\"Add (1,3)=86 Failed, w=115\",\"Add (0,4)=92 Failed, w=115\",\"Add (2,7)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,22],[0,3,41],[0,4,92],[0,5,43],[0,6,23],[1,3,86],[1,6,39],[2,4,14],[2,5,23],[2,7,97],[3,4,69],[3,5,22],[3,6,25],[3,7,69],[4,7,17],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,4)=14,(4,7)=17,(6,7)=17,(0,2)=22,(3,5)=22,(0,6)=23,(2,5)=23,(3,6)=25,(1,6)=39,(0,3)=41,(0,5)=43,(3,4)=69,(3,7)=69,(1,3)=86,(0,4)=92,(2,7)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Find(4)=2, Find(7)=7, Add (4,7)=17 Succeeded, w=31\",\"Find(6)=6, Find(7)=2, Add (6,7)=17 Succeeded, w=48\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=70\",\"Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=92\",\"Find(0)=0, Find(6)=0, Add (0,6)=23 Failed, w=92\",\"Find(2)=0, Find(5)=3, Add (2,5)=23 Succeeded, w=115\",\"Find(3)=0, Find(6)=0, Add (3,6)=25 Failed, w=115\",\"Find(1)=0, Find(6)=0, Add (1,6)=39 Failed, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=115\",\"Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=115\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=115\",\"Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=115\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=115\",\"Find(2)=0, Find(7)=0, Add (2,7)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,22],[0,3,41],[0,4,92],[0,5,43],[0,6,23],[1,3,86],[1,6,39],[2,4,14],[2,5,23],[2,7,97],[3,4,69],[3,5,22],[3,6,25],[3,7,69],[4,7,17],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,4)=14,(4,7)=17,(6,7)=17,(0,2)=22,(3,5)=22,(0,6)=23,(2,5)=23,(3,6)=25,(1,6)=39,(0,3)=41,(0,5)=43,(3,4)=69,(3,7)=69,(1,3)=86,(0,4)=92,(2,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 2}, Find(4)=2, Find(7)=7, Add (4,7)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=17 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5, 6: 2, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 3, 6: 2, 7: 2}, Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 3, 6: 0, 7: 2}, Find(0)=0, Find(6)=0, Add (0,6)=23 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 3, 6: 0, 7: 2}, Find(2)=0, Find(5)=3, Add (2,5)=23 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 3, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=25 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 3, 6: 0, 7: 2}, Find(1)=0, Find(6)=0, Add (1,6)=39 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 3, 6: 0, 7: 2}, Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=115\",\"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)=69 Failed, w=115\",\"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)=86 Failed, w=115\",\"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=115\",\"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)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,30],[0,2,87],[1,2,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,87],[1,2,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,87],[1,2,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,87],[1,2,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=30, w=30\",\"Add (1,2)=30, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,87],[1,2,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=30 Succeeded, w=30\",\"Add (1,2)=30 Succeeded, w=60\",\"Add (0,2)=87 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,87],[1,2,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=30,(1,2)=30,(0,2)=87]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=30\",\"Find(1)=0, Find(2)=2, Add (1,2)=30 Succeeded, w=60\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,87],[1,2,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=30,(1,2)=30,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=30 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,99],[0,2,1],[0,3,87],[1,2,83],[1,3,18],[2,3,96],[2,4,65],[3,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,1],[0,3,87],[1,2,83],[1,3,18],[2,3,96],[2,4,65],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,1],[0,3,87],[1,2,83],[1,3,18],[2,3,96],[2,4,65],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,1],[0,3,87],[1,2,83],[1,3,18],[2,3,96],[2,4,65],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,3)=18, w=19\",\"Add (3,4)=62, w=81\",\"Add (2,4)=65, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,1],[0,3,87],[1,2,83],[1,3,18],[2,3,96],[2,4,65],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,3)=18 Succeeded, w=19\",\"Add (3,4)=62 Succeeded, w=81\",\"Add (2,4)=65 Succeeded, w=146\",\"Add (1,2)=83 Failed, w=146\",\"Add (0,3)=87 Failed, w=146\",\"Add (2,3)=96 Failed, w=146\",\"Add (0,1)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,1],[0,3,87],[1,2,83],[1,3,18],[2,3,96],[2,4,65],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,3)=18,(3,4)=62,(2,4)=65,(1,2)=83,(0,3)=87,(2,3)=96,(0,1)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=19\",\"Find(3)=1, Find(4)=4, Add (3,4)=62 Succeeded, w=81\",\"Find(2)=0, Find(4)=1, Add (2,4)=65 Succeeded, w=146\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=146\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=146\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=146\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,1],[0,3,87],[1,2,83],[1,3,18],[2,3,96],[2,4,65],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,3)=18,(3,4)=62,(2,4)=65,(1,2)=83,(0,3)=87,(2,3)=96,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=62 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(2)=0, Find(4)=1, Add (2,4)=65 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,5],[0,2,80],[0,3,7],[0,4,9],[0,5,65],[0,6,1],[0,7,45],[1,2,60],[1,3,4],[1,4,40],[1,5,13],[1,6,89],[1,7,46],[2,3,21],[2,5,35],[2,7,67],[3,7,36],[4,7,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,80],[0,3,7],[0,4,9],[0,5,65],[0,6,1],[0,7,45],[1,2,60],[1,3,4],[1,4,40],[1,5,13],[1,6,89],[1,7,46],[2,3,21],[2,5,35],[2,7,67],[3,7,36],[4,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,80],[0,3,7],[0,4,9],[0,5,65],[0,6,1],[0,7,45],[1,2,60],[1,3,4],[1,4,40],[1,5,13],[1,6,89],[1,7,46],[2,3,21],[2,5,35],[2,7,67],[3,7,36],[4,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (4,7)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,80],[0,3,7],[0,4,9],[0,5,65],[0,6,1],[0,7,45],[1,2,60],[1,3,4],[1,4,40],[1,5,13],[1,6,89],[1,7,46],[2,3,21],[2,5,35],[2,7,67],[3,7,36],[4,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (1,3)=4, w=5\",\"Add (0,1)=5, w=10\",\"Add (0,4)=9, w=19\",\"Add (1,5)=13, w=32\",\"Add (2,3)=21, w=53\",\"Add (4,7)=34, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,80],[0,3,7],[0,4,9],[0,5,65],[0,6,1],[0,7,45],[1,2,60],[1,3,4],[1,4,40],[1,5,13],[1,6,89],[1,7,46],[2,3,21],[2,5,35],[2,7,67],[3,7,36],[4,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (1,3)=4 Succeeded, w=5\",\"Add (0,1)=5 Succeeded, w=10\",\"Add (0,3)=7 Failed, w=10\",\"Add (0,4)=9 Succeeded, w=19\",\"Add (1,5)=13 Succeeded, w=32\",\"Add (2,3)=21 Succeeded, w=53\",\"Add (4,7)=34 Succeeded, w=87\",\"Add (2,5)=35 Failed, w=87\",\"Add (3,7)=36 Failed, w=87\",\"Add (1,4)=40 Failed, w=87\",\"Add (0,7)=45 Failed, w=87\",\"Add (1,7)=46 Failed, w=87\",\"Add (1,2)=60 Failed, w=87\",\"Add (0,5)=65 Failed, w=87\",\"Add (2,7)=67 Failed, w=87\",\"Add (0,2)=80 Failed, w=87\",\"Add (1,6)=89 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,80],[0,3,7],[0,4,9],[0,5,65],[0,6,1],[0,7,45],[1,2,60],[1,3,4],[1,4,40],[1,5,13],[1,6,89],[1,7,46],[2,3,21],[2,5,35],[2,7,67],[3,7,36],[4,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(1,3)=4,(0,1)=5,(0,3)=7,(0,4)=9,(1,5)=13,(2,3)=21,(4,7)=34,(2,5)=35,(3,7)=36,(1,4)=40,(0,7)=45,(1,7)=46,(1,2)=60,(0,5)=65,(2,7)=67,(0,2)=80,(1,6)=89]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=10\",\"Find(0)=0, Find(3)=0, Add (0,3)=7 Failed, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=19\",\"Find(1)=0, Find(5)=5, Add (1,5)=13 Succeeded, w=32\",\"Find(2)=2, Find(3)=0, Add (2,3)=21 Succeeded, w=53\",\"Find(4)=0, Find(7)=7, Add (4,7)=34 Succeeded, w=87\",\"Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=87\",\"Find(3)=0, Find(7)=0, Add (3,7)=36 Failed, w=87\",\"Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=87\",\"Find(0)=0, Find(7)=0, Add (0,7)=45 Failed, w=87\",\"Find(1)=0, Find(7)=0, Add (1,7)=46 Failed, w=87\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=87\",\"Find(0)=0, Find(5)=0, Add (0,5)=65 Failed, w=87\",\"Find(2)=0, Find(7)=0, Add (2,7)=67 Failed, w=87\",\"Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=87\",\"Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,80],[0,3,7],[0,4,9],[0,5,65],[0,6,1],[0,7,45],[1,2,60],[1,3,4],[1,4,40],[1,5,13],[1,6,89],[1,7,46],[2,3,21],[2,5,35],[2,7,67],[3,7,36],[4,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(1,3)=4,(0,1)=5,(0,3)=7,(0,4)=9,(1,5)=13,(2,3)=21,(4,7)=34,(2,5)=35,(3,7)=36,(1,4)=40,(0,7)=45,(1,7)=46,(1,2)=60,(0,5)=65,(2,7)=67,(0,2)=80,(1,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=7 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=13 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=21 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=34 Succeeded, w=87\",\"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)=35 Failed, w=87\",\"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)=36 Failed, w=87\",\"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)=40 Failed, w=87\",\"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)=45 Failed, w=87\",\"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)=46 Failed, w=87\",\"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)=60 Failed, w=87\",\"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)=65 Failed, w=87\",\"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)=67 Failed, w=87\",\"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)=80 Failed, w=87\",\"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)=89 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,44],[1,2,39],[1,4,36],[2,3,24],[3,4,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,44],[1,2,39],[1,4,36],[2,3,24],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,44],[1,2,39],[1,4,36],[2,3,24],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (1,2)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,44],[1,2,39],[1,4,36],[2,3,24],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (2,3)=24, w=33\",\"Add (1,4)=36, w=69\",\"Add (1,2)=39, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,44],[1,2,39],[1,4,36],[2,3,24],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (2,3)=24 Succeeded, w=33\",\"Add (1,4)=36 Succeeded, w=69\",\"Add (1,2)=39 Succeeded, w=108\",\"Add (0,2)=44 Failed, w=108\",\"Add (3,4)=51 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,44],[1,2,39],[1,4,36],[2,3,24],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(2,3)=24,(1,4)=36,(1,2)=39,(0,2)=44,(3,4)=51]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=33\",\"Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=69\",\"Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=108\",\"Find(0)=0, Find(2)=0, Add (0,2)=44 Failed, w=108\",\"Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,44],[1,2,39],[1,4,36],[2,3,24],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(2,3)=24,(1,4)=36,(1,2)=39,(0,2)=44,(3,4)=51]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=44 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,82],[0,2,28],[0,3,71],[1,2,64],[1,3,43],[2,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,28],[0,3,71],[1,2,64],[1,3,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,28],[0,3,71],[1,2,64],[1,3,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,28],[0,3,71],[1,2,64],[1,3,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=28, w=28\",\"Add (1,3)=43, w=71\",\"Add (2,3)=60, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,28],[0,3,71],[1,2,64],[1,3,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=28 Succeeded, w=28\",\"Add (1,3)=43 Succeeded, w=71\",\"Add (2,3)=60 Succeeded, w=131\",\"Add (1,2)=64 Failed, w=131\",\"Add (0,3)=71 Failed, w=131\",\"Add (0,1)=82 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,28],[0,3,71],[1,2,64],[1,3,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=28,(1,3)=43,(2,3)=60,(1,2)=64,(0,3)=71,(0,1)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=71\",\"Find(2)=0, Find(3)=1, Add (2,3)=60 Succeeded, w=131\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=131\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=131\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,28],[0,3,71],[1,2,64],[1,3,43],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=28,(1,3)=43,(2,3)=60,(1,2)=64,(0,3)=71,(0,1)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=60 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,2,50],[1,2,23],[1,3,27],[1,4,27],[2,3,58],[2,4,44],[3,4,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,50],[1,2,23],[1,3,27],[1,4,27],[2,3,58],[2,4,44],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,50],[1,2,23],[1,3,27],[1,4,27],[2,3,58],[2,4,44],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,50],[1,2,23],[1,3,27],[1,4,27],[2,3,58],[2,4,44],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (1,2)=23, w=39\",\"Add (1,3)=27, w=66\",\"Add (1,4)=27, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,50],[1,2,23],[1,3,27],[1,4,27],[2,3,58],[2,4,44],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (1,2)=23 Succeeded, w=39\",\"Add (1,3)=27 Succeeded, w=66\",\"Add (1,4)=27 Succeeded, w=93\",\"Add (2,4)=44 Failed, w=93\",\"Add (0,2)=50 Failed, w=93\",\"Add (2,3)=58 Failed, w=93\",\"Add (3,4)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,50],[1,2,23],[1,3,27],[1,4,27],[2,3,58],[2,4,44],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,2)=23,(1,3)=27,(1,4)=27,(2,4)=44,(0,2)=50,(2,3)=58,(3,4)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=39\",\"Find(1)=0, Find(3)=3, Add (1,3)=27 Succeeded, w=66\",\"Find(1)=0, Find(4)=4, Add (1,4)=27 Succeeded, w=93\",\"Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=93\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=93\",\"Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=93\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,50],[1,2,23],[1,3,27],[1,4,27],[2,3,58],[2,4,44],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,2)=23,(1,3)=27,(1,4)=27,(2,4)=44,(0,2)=50,(2,3)=58,(3,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=27 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=27 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[1,3,52],[1,4,73],[1,5,15],[2,3,25],[2,4,10],[2,5,11],[3,5,58],[4,5,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,3,52],[1,4,73],[1,5,15],[2,3,25],[2,4,10],[2,5,11],[3,5,58],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,3,52],[1,4,73],[1,5,15],[2,3,25],[2,4,10],[2,5,11],[3,5,58],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,3,52],[1,4,73],[1,5,15],[2,3,25],[2,4,10],[2,5,11],[3,5,58],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (2,5)=11, w=21\",\"Add (1,5)=15, w=36\",\"Add (2,3)=25, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,3,52],[1,4,73],[1,5,15],[2,3,25],[2,4,10],[2,5,11],[3,5,58],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (2,5)=11 Succeeded, w=21\",\"Add (1,5)=15 Succeeded, w=36\",\"Add (2,3)=25 Succeeded, w=61\",\"Add (4,5)=26 Failed, w=61\",\"Add (1,3)=52 Failed, w=61\",\"Add (3,5)=58 Failed, w=61\",\"Add (1,4)=73 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,3,52],[1,4,73],[1,5,15],[2,3,25],[2,4,10],[2,5,11],[3,5,58],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(2,5)=11,(1,5)=15,(2,3)=25,(4,5)=26,(1,3)=52,(3,5)=58,(1,4)=73]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=21\",\"Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=36\",\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=61\",\"Find(4)=2, Find(5)=2, Add (4,5)=26 Failed, w=61\",\"Find(1)=2, Find(3)=2, Add (1,3)=52 Failed, w=61\",\"Find(3)=2, Find(5)=2, Add (3,5)=58 Failed, w=61\",\"Find(1)=2, Find(4)=2, Add (1,4)=73 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,3,52],[1,4,73],[1,5,15],[2,3,25],[2,4,10],[2,5,11],[3,5,58],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(2,5)=11,(1,5)=15,(2,3)=25,(4,5)=26,(1,3)=52,(3,5)=58,(1,4)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=26 Failed, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=52 Failed, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=58 Failed, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=73 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,2,38],[0,3,7],[1,2,92],[1,3,91],[2,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,38],[0,3,7],[1,2,92],[1,3,91],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,38],[0,3,7],[1,2,92],[1,3,91],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,38],[0,3,7],[1,2,92],[1,3,91],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (0,1)=13, w=20\",\"Add (0,2)=38, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,38],[0,3,7],[1,2,92],[1,3,91],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,1)=13 Succeeded, w=20\",\"Add (0,2)=38 Succeeded, w=58\",\"Add (2,3)=55 Failed, w=58\",\"Add (1,3)=91 Failed, w=58\",\"Add (1,2)=92 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,38],[0,3,7],[1,2,92],[1,3,91],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,1)=13,(0,2)=38,(2,3)=55,(1,3)=91,(1,2)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=58\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=58\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=58\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,38],[0,3,7],[1,2,92],[1,3,91],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,1)=13,(0,2)=38,(2,3)=55,(1,3)=91,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,26],[0,2,40],[0,3,33],[0,4,60],[0,5,96],[1,2,20],[1,3,4],[1,4,34],[1,5,46],[2,5,70],[3,4,68],[3,5,2],[4,5,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,40],[0,3,33],[0,4,60],[0,5,96],[1,2,20],[1,3,4],[1,4,34],[1,5,46],[2,5,70],[3,4,68],[3,5,2],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,40],[0,3,33],[0,4,60],[0,5,96],[1,2,20],[1,3,4],[1,4,34],[1,5,46],[2,5,70],[3,4,68],[3,5,2],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,40],[0,3,33],[0,4,60],[0,5,96],[1,2,20],[1,3,4],[1,4,34],[1,5,46],[2,5,70],[3,4,68],[3,5,2],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (1,3)=4, w=6\",\"Add (1,2)=20, w=26\",\"Add (0,1)=26, w=52\",\"Add (1,4)=34, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,40],[0,3,33],[0,4,60],[0,5,96],[1,2,20],[1,3,4],[1,4,34],[1,5,46],[2,5,70],[3,4,68],[3,5,2],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (1,3)=4 Succeeded, w=6\",\"Add (1,2)=20 Succeeded, w=26\",\"Add (0,1)=26 Succeeded, w=52\",\"Add (0,3)=33 Failed, w=52\",\"Add (1,4)=34 Succeeded, w=86\",\"Add (0,2)=40 Failed, w=86\",\"Add (4,5)=40 Failed, w=86\",\"Add (1,5)=46 Failed, w=86\",\"Add (0,4)=60 Failed, w=86\",\"Add (3,4)=68 Failed, w=86\",\"Add (2,5)=70 Failed, w=86\",\"Add (0,5)=96 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,40],[0,3,33],[0,4,60],[0,5,96],[1,2,20],[1,3,4],[1,4,34],[1,5,46],[2,5,70],[3,4,68],[3,5,2],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(1,3)=4,(1,2)=20,(0,1)=26,(0,3)=33,(1,4)=34,(0,2)=40,(4,5)=40,(1,5)=46,(0,4)=60,(3,4)=68,(2,5)=70,(0,5)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=6\",\"Find(1)=3, Find(2)=2, Add (1,2)=20 Succeeded, w=26\",\"Find(0)=0, Find(1)=3, Add (0,1)=26 Succeeded, w=52\",\"Find(0)=3, Find(3)=3, Add (0,3)=33 Failed, w=52\",\"Find(1)=3, Find(4)=4, Add (1,4)=34 Succeeded, w=86\",\"Find(0)=3, Find(2)=3, Add (0,2)=40 Failed, w=86\",\"Find(4)=3, Find(5)=3, Add (4,5)=40 Failed, w=86\",\"Find(1)=3, Find(5)=3, Add (1,5)=46 Failed, w=86\",\"Find(0)=3, Find(4)=3, Add (0,4)=60 Failed, w=86\",\"Find(3)=3, Find(4)=3, Add (3,4)=68 Failed, w=86\",\"Find(2)=3, Find(5)=3, Add (2,5)=70 Failed, w=86\",\"Find(0)=3, Find(5)=3, Add (0,5)=96 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,40],[0,3,33],[0,4,60],[0,5,96],[1,2,20],[1,3,4],[1,4,34],[1,5,46],[2,5,70],[3,4,68],[3,5,2],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(1,3)=4,(1,2)=20,(0,1)=26,(0,3)=33,(1,4)=34,(0,2)=40,(4,5)=40,(1,5)=46,(0,4)=60,(3,4)=68,(2,5)=70,(0,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=3, Find(2)=2, Add (1,2)=20 Succeeded, w=26\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=3, Add (0,1)=26 Succeeded, w=52\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=33 Failed, w=52\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=4, Add (1,4)=34 Succeeded, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=40 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=40 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=46 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=60 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=68 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=70 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=96 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,90],[0,3,21],[0,4,75],[1,2,76],[1,3,56],[1,5,57],[1,6,62],[2,3,87],[2,4,83],[2,5,10],[2,6,79],[3,4,26],[3,5,86],[3,6,43],[4,5,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,90],[0,3,21],[0,4,75],[1,2,76],[1,3,56],[1,5,57],[1,6,62],[2,3,87],[2,4,83],[2,5,10],[2,6,79],[3,4,26],[3,5,86],[3,6,43],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,90],[0,3,21],[0,4,75],[1,2,76],[1,3,56],[1,5,57],[1,6,62],[2,3,87],[2,4,83],[2,5,10],[2,6,79],[3,4,26],[3,5,86],[3,6,43],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (3,6)\",\"Add (1,3)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,90],[0,3,21],[0,4,75],[1,2,76],[1,3,56],[1,5,57],[1,6,62],[2,3,87],[2,4,83],[2,5,10],[2,6,79],[3,4,26],[3,5,86],[3,6,43],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=10, w=10\",\"Add (0,3)=21, w=31\",\"Add (4,5)=25, w=56\",\"Add (3,4)=26, w=82\",\"Add (3,6)=43, w=125\",\"Add (1,3)=56, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,90],[0,3,21],[0,4,75],[1,2,76],[1,3,56],[1,5,57],[1,6,62],[2,3,87],[2,4,83],[2,5,10],[2,6,79],[3,4,26],[3,5,86],[3,6,43],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=10 Succeeded, w=10\",\"Add (0,3)=21 Succeeded, w=31\",\"Add (4,5)=25 Succeeded, w=56\",\"Add (3,4)=26 Succeeded, w=82\",\"Add (3,6)=43 Succeeded, w=125\",\"Add (1,3)=56 Succeeded, w=181\",\"Add (1,5)=57 Failed, w=181\",\"Add (1,6)=62 Failed, w=181\",\"Add (0,4)=75 Failed, w=181\",\"Add (1,2)=76 Failed, w=181\",\"Add (2,6)=79 Failed, w=181\",\"Add (2,4)=83 Failed, w=181\",\"Add (3,5)=86 Failed, w=181\",\"Add (2,3)=87 Failed, w=181\",\"Add (0,2)=90 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,90],[0,3,21],[0,4,75],[1,2,76],[1,3,56],[1,5,57],[1,6,62],[2,3,87],[2,4,83],[2,5,10],[2,6,79],[3,4,26],[3,5,86],[3,6,43],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=10,(0,3)=21,(4,5)=25,(3,4)=26,(3,6)=43,(1,3)=56,(1,5)=57,(1,6)=62,(0,4)=75,(1,2)=76,(2,6)=79,(2,4)=83,(3,5)=86,(2,3)=87,(0,2)=90]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=31\",\"Find(4)=4, Find(5)=2, Add (4,5)=25 Succeeded, w=56\",\"Find(3)=0, Find(4)=2, Add (3,4)=26 Succeeded, w=82\",\"Find(3)=0, Find(6)=6, Add (3,6)=43 Succeeded, w=125\",\"Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=181\",\"Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=181\",\"Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=181\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=181\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=181\",\"Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=181\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=181\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=181\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=181\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,90],[0,3,21],[0,4,75],[1,2,76],[1,3,56],[1,5,57],[1,6,62],[2,3,87],[2,4,83],[2,5,10],[2,6,79],[3,4,26],[3,5,86],[3,6,43],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=10,(0,3)=21,(4,5)=25,(3,4)=26,(3,6)=43,(1,3)=56,(1,5)=57,(1,6)=62,(0,4)=75,(1,2)=76,(2,6)=79,(2,4)=83,(3,5)=86,(2,3)=87,(0,2)=90]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6}, Find(4)=4, Find(5)=2, Add (4,5)=25 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 2, 6: 6}, Find(3)=0, Find(4)=2, Add (3,4)=26 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=43 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=181\",\"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=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,33],[0,2,31],[0,3,89],[0,4,15],[0,6,54],[1,2,77],[1,4,22],[1,5,83],[1,6,23],[1,7,7],[2,3,97],[2,5,5],[2,6,30],[2,7,0],[3,5,27],[3,6,63],[3,7,53],[4,5,68],[5,7,87],[6,7,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,31],[0,3,89],[0,4,15],[0,6,54],[1,2,77],[1,4,22],[1,5,83],[1,6,23],[1,7,7],[2,3,97],[2,5,5],[2,6,30],[2,7,0],[3,5,27],[3,6,63],[3,7,53],[4,5,68],[5,7,87],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,31],[0,3,89],[0,4,15],[0,6,54],[1,2,77],[1,4,22],[1,5,83],[1,6,23],[1,7,7],[2,3,97],[2,5,5],[2,6,30],[2,7,0],[3,5,27],[3,6,63],[3,7,53],[4,5,68],[5,7,87],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (2,5)\",\"Add (1,7)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (3,5)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,31],[0,3,89],[0,4,15],[0,6,54],[1,2,77],[1,4,22],[1,5,83],[1,6,23],[1,7,7],[2,3,97],[2,5,5],[2,6,30],[2,7,0],[3,5,27],[3,6,63],[3,7,53],[4,5,68],[5,7,87],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=0, w=0\",\"Add (2,5)=5, w=5\",\"Add (1,7)=7, w=12\",\"Add (0,4)=15, w=27\",\"Add (1,4)=22, w=49\",\"Add (1,6)=23, w=72\",\"Add (3,5)=27, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,31],[0,3,89],[0,4,15],[0,6,54],[1,2,77],[1,4,22],[1,5,83],[1,6,23],[1,7,7],[2,3,97],[2,5,5],[2,6,30],[2,7,0],[3,5,27],[3,6,63],[3,7,53],[4,5,68],[5,7,87],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=0 Succeeded, w=0\",\"Add (2,5)=5 Succeeded, w=5\",\"Add (1,7)=7 Succeeded, w=12\",\"Add (0,4)=15 Succeeded, w=27\",\"Add (1,4)=22 Succeeded, w=49\",\"Add (1,6)=23 Succeeded, w=72\",\"Add (6,7)=26 Failed, w=72\",\"Add (3,5)=27 Succeeded, w=99\",\"Add (2,6)=30 Failed, w=99\",\"Add (0,2)=31 Failed, w=99\",\"Add (0,1)=33 Failed, w=99\",\"Add (3,7)=53 Failed, w=99\",\"Add (0,6)=54 Failed, w=99\",\"Add (3,6)=63 Failed, w=99\",\"Add (4,5)=68 Failed, w=99\",\"Add (1,2)=77 Failed, w=99\",\"Add (1,5)=83 Failed, w=99\",\"Add (5,7)=87 Failed, w=99\",\"Add (0,3)=89 Failed, w=99\",\"Add (2,3)=97 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,31],[0,3,89],[0,4,15],[0,6,54],[1,2,77],[1,4,22],[1,5,83],[1,6,23],[1,7,7],[2,3,97],[2,5,5],[2,6,30],[2,7,0],[3,5,27],[3,6,63],[3,7,53],[4,5,68],[5,7,87],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=0,(2,5)=5,(1,7)=7,(0,4)=15,(1,4)=22,(1,6)=23,(6,7)=26,(3,5)=27,(2,6)=30,(0,2)=31,(0,1)=33,(3,7)=53,(0,6)=54,(3,6)=63,(4,5)=68,(1,2)=77,(1,5)=83,(5,7)=87,(0,3)=89,(2,3)=97]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(7)=2, Add (1,7)=7 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=27\",\"Find(1)=2, Find(4)=0, Add (1,4)=22 Succeeded, w=49\",\"Find(1)=2, Find(6)=6, Add (1,6)=23 Succeeded, w=72\",\"Find(6)=2, Find(7)=2, Add (6,7)=26 Failed, w=72\",\"Find(3)=3, Find(5)=2, Add (3,5)=27 Succeeded, w=99\",\"Find(2)=2, Find(6)=2, Add (2,6)=30 Failed, w=99\",\"Find(0)=2, Find(2)=2, Add (0,2)=31 Failed, w=99\",\"Find(0)=2, Find(1)=2, Add (0,1)=33 Failed, w=99\",\"Find(3)=2, Find(7)=2, Add (3,7)=53 Failed, w=99\",\"Find(0)=2, Find(6)=2, Add (0,6)=54 Failed, w=99\",\"Find(3)=2, Find(6)=2, Add (3,6)=63 Failed, w=99\",\"Find(4)=2, Find(5)=2, Add (4,5)=68 Failed, w=99\",\"Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=99\",\"Find(1)=2, Find(5)=2, Add (1,5)=83 Failed, w=99\",\"Find(5)=2, Find(7)=2, Add (5,7)=87 Failed, w=99\",\"Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=99\",\"Find(2)=2, Find(3)=2, Add (2,3)=97 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,31],[0,3,89],[0,4,15],[0,6,54],[1,2,77],[1,4,22],[1,5,83],[1,6,23],[1,7,7],[2,3,97],[2,5,5],[2,6,30],[2,7,0],[3,5,27],[3,6,63],[3,7,53],[4,5,68],[5,7,87],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=0,(2,5)=5,(1,7)=7,(0,4)=15,(1,4)=22,(1,6)=23,(6,7)=26,(3,5)=27,(2,6)=30,(0,2)=31,(0,1)=33,(3,7)=53,(0,6)=54,(3,6)=63,(4,5)=68,(1,2)=77,(1,5)=83,(5,7)=87,(0,3)=89,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6, 7: 2}, Find(1)=2, Find(4)=0, Add (1,4)=22 Succeeded, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=6, Add (1,6)=23 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=26 Failed, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(3)=3, Find(5)=2, Add (3,5)=27 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=30 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=31 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=33 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=53 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=54 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=63 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=68 Failed, w=99\",\"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)=77 Failed, w=99\",\"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)=83 Failed, w=99\",\"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)=87 Failed, w=99\",\"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=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=97 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,2,60],[1,3,40],[1,4,17],[2,3,86],[3,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,60],[1,3,40],[1,4,17],[2,3,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,60],[1,3,40],[1,4,17],[2,3,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,60],[1,3,40],[1,4,17],[2,3,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=17, w=17\",\"Add (1,3)=40, w=57\",\"Add (1,2)=60, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,60],[1,3,40],[1,4,17],[2,3,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=17 Succeeded, w=17\",\"Add (1,3)=40 Succeeded, w=57\",\"Add (3,4)=55 Failed, w=57\",\"Add (1,2)=60 Succeeded, w=117\",\"Add (2,3)=86 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,60],[1,3,40],[1,4,17],[2,3,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=17,(1,3)=40,(3,4)=55,(1,2)=60,(2,3)=86]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=57\",\"Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=57\",\"Find(1)=1, Find(2)=2, Add (1,2)=60 Succeeded, w=117\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,60],[1,3,40],[1,4,17],[2,3,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=17,(1,3)=40,(3,4)=55,(1,2)=60,(2,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=60 Succeeded, w=117\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,27],[0,2,51],[0,3,80],[0,4,72],[1,2,66],[1,4,85],[2,3,58],[2,4,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,51],[0,3,80],[0,4,72],[1,2,66],[1,4,85],[2,3,58],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,51],[0,3,80],[0,4,72],[1,2,66],[1,4,85],[2,3,58],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,51],[0,3,80],[0,4,72],[1,2,66],[1,4,85],[2,3,58],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=27, w=27\",\"Add (0,2)=51, w=78\",\"Add (2,3)=58, w=136\",\"Add (0,4)=72, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,51],[0,3,80],[0,4,72],[1,2,66],[1,4,85],[2,3,58],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=27 Succeeded, w=27\",\"Add (0,2)=51 Succeeded, w=78\",\"Add (2,3)=58 Succeeded, w=136\",\"Add (1,2)=66 Failed, w=136\",\"Add (0,4)=72 Succeeded, w=208\",\"Add (2,4)=78 Failed, w=208\",\"Add (0,3)=80 Failed, w=208\",\"Add (1,4)=85 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,51],[0,3,80],[0,4,72],[1,2,66],[1,4,85],[2,3,58],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=27,(0,2)=51,(2,3)=58,(1,2)=66,(0,4)=72,(2,4)=78,(0,3)=80,(1,4)=85]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=78\",\"Find(2)=0, Find(3)=3, Add (2,3)=58 Succeeded, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=136\",\"Find(0)=0, Find(4)=4, Add (0,4)=72 Succeeded, w=208\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=208\",\"Find(0)=0, Find(3)=0, Add (0,3)=80 Failed, w=208\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,51],[0,3,80],[0,4,72],[1,2,66],[1,4,85],[2,3,58],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=27,(0,2)=51,(2,3)=58,(1,2)=66,(0,4)=72,(2,4)=78,(0,3)=80,(1,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=58 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=72 Succeeded, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=80 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,2,14],[0,3,92],[1,2,68],[1,3,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,14],[0,3,92],[1,2,68],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,14],[0,3,92],[1,2,68],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,14],[0,3,92],[1,2,68],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13, w=13\",\"Add (0,2)=14, w=27\",\"Add (0,1)=50, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,14],[0,3,92],[1,2,68],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13 Succeeded, w=13\",\"Add (0,2)=14 Succeeded, w=27\",\"Add (0,1)=50 Succeeded, w=77\",\"Add (1,2)=68 Failed, w=77\",\"Add (0,3)=92 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,14],[0,3,92],[1,2,68],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(0,2)=14,(0,1)=50,(1,2)=68,(0,3)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=77\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=77\",\"Find(0)=0, Find(3)=0, Add (0,3)=92 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,14],[0,3,92],[1,2,68],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(0,2)=14,(0,1)=50,(1,2)=68,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=92 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,88],[0,2,78],[0,3,48],[0,4,52],[0,5,10],[0,6,0],[1,2,78],[1,4,88],[1,5,4],[1,6,44],[2,3,9],[2,4,64],[2,5,80],[2,6,66],[3,4,51],[3,5,25],[3,6,80],[4,5,56],[4,6,20],[5,6,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,78],[0,3,48],[0,4,52],[0,5,10],[0,6,0],[1,2,78],[1,4,88],[1,5,4],[1,6,44],[2,3,9],[2,4,64],[2,5,80],[2,6,66],[3,4,51],[3,5,25],[3,6,80],[4,5,56],[4,6,20],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,78],[0,3,48],[0,4,52],[0,5,10],[0,6,0],[1,2,78],[1,4,88],[1,5,4],[1,6,44],[2,3,9],[2,4,64],[2,5,80],[2,6,66],[3,4,51],[3,5,25],[3,6,80],[4,5,56],[4,6,20],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (3,5)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,78],[0,3,48],[0,4,52],[0,5,10],[0,6,0],[1,2,78],[1,4,88],[1,5,4],[1,6,44],[2,3,9],[2,4,64],[2,5,80],[2,6,66],[3,4,51],[3,5,25],[3,6,80],[4,5,56],[4,6,20],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (1,5)=4, w=4\",\"Add (2,3)=9, w=13\",\"Add (0,5)=10, w=23\",\"Add (4,6)=20, w=43\",\"Add (3,5)=25, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,78],[0,3,48],[0,4,52],[0,5,10],[0,6,0],[1,2,78],[1,4,88],[1,5,4],[1,6,44],[2,3,9],[2,4,64],[2,5,80],[2,6,66],[3,4,51],[3,5,25],[3,6,80],[4,5,56],[4,6,20],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (1,5)=4 Succeeded, w=4\",\"Add (2,3)=9 Succeeded, w=13\",\"Add (0,5)=10 Succeeded, w=23\",\"Add (4,6)=20 Succeeded, w=43\",\"Add (3,5)=25 Succeeded, w=68\",\"Add (1,6)=44 Failed, w=68\",\"Add (0,3)=48 Failed, w=68\",\"Add (3,4)=51 Failed, w=68\",\"Add (0,4)=52 Failed, w=68\",\"Add (4,5)=56 Failed, w=68\",\"Add (2,4)=64 Failed, w=68\",\"Add (2,6)=66 Failed, w=68\",\"Add (5,6)=71 Failed, w=68\",\"Add (0,2)=78 Failed, w=68\",\"Add (1,2)=78 Failed, w=68\",\"Add (2,5)=80 Failed, w=68\",\"Add (3,6)=80 Failed, w=68\",\"Add (0,1)=88 Failed, w=68\",\"Add (1,4)=88 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,78],[0,3,48],[0,4,52],[0,5,10],[0,6,0],[1,2,78],[1,4,88],[1,5,4],[1,6,44],[2,3,9],[2,4,64],[2,5,80],[2,6,66],[3,4,51],[3,5,25],[3,6,80],[4,5,56],[4,6,20],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(1,5)=4,(2,3)=9,(0,5)=10,(4,6)=20,(3,5)=25,(1,6)=44,(0,3)=48,(3,4)=51,(0,4)=52,(4,5)=56,(2,4)=64,(2,6)=66,(5,6)=71,(0,2)=78,(1,2)=78,(2,5)=80,(3,6)=80,(0,1)=88,(1,4)=88]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=13\",\"Find(0)=0, Find(5)=1, Add (0,5)=10 Succeeded, w=23\",\"Find(4)=4, Find(6)=0, Add (4,6)=20 Succeeded, w=43\",\"Find(3)=2, Find(5)=0, Add (3,5)=25 Succeeded, w=68\",\"Find(1)=0, Find(6)=0, Add (1,6)=44 Failed, w=68\",\"Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=68\",\"Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=68\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=68\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=68\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=68\",\"Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=68\",\"Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=68\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=68\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=68\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=68\",\"Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=68\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=68\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,78],[0,3,48],[0,4,52],[0,5,10],[0,6,0],[1,2,78],[1,4,88],[1,5,4],[1,6,44],[2,3,9],[2,4,64],[2,5,80],[2,6,66],[3,4,51],[3,5,25],[3,6,80],[4,5,56],[4,6,20],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(1,5)=4,(2,3)=9,(0,5)=10,(4,6)=20,(3,5)=25,(1,6)=44,(0,3)=48,(3,4)=51,(0,4)=52,(4,5)=56,(2,4)=64,(2,6)=66,(5,6)=71,(0,2)=78,(1,2)=78,(2,5)=80,(3,6)=80,(0,1)=88,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(5)=1, Add (0,5)=10 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 1, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=20 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(3)=2, Find(5)=0, Add (3,5)=25 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=44 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=68\",\"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=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,73],[0,2,55],[0,3,95],[0,4,1],[0,6,47],[1,2,18],[1,3,58],[1,4,84],[1,5,25],[1,6,20],[2,3,22],[2,4,58],[2,5,34],[2,6,46],[3,4,37],[3,5,90],[3,6,23],[4,5,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,55],[0,3,95],[0,4,1],[0,6,47],[1,2,18],[1,3,58],[1,4,84],[1,5,25],[1,6,20],[2,3,22],[2,4,58],[2,5,34],[2,6,46],[3,4,37],[3,5,90],[3,6,23],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,55],[0,3,95],[0,4,1],[0,6,47],[1,2,18],[1,3,58],[1,4,84],[1,5,25],[1,6,20],[2,3,22],[2,4,58],[2,5,34],[2,6,46],[3,4,37],[3,5,90],[3,6,23],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (3,4)\"],\"Answer\":123}",
"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],[0,2,55],[0,3,95],[0,4,1],[0,6,47],[1,2,18],[1,3,58],[1,4,84],[1,5,25],[1,6,20],[2,3,22],[2,4,58],[2,5,34],[2,6,46],[3,4,37],[3,5,90],[3,6,23],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (1,2)=18, w=19\",\"Add (1,6)=20, w=39\",\"Add (2,3)=22, w=61\",\"Add (1,5)=25, w=86\",\"Add (3,4)=37, w=123\"],\"Answer\":123}",
"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],[0,2,55],[0,3,95],[0,4,1],[0,6,47],[1,2,18],[1,3,58],[1,4,84],[1,5,25],[1,6,20],[2,3,22],[2,4,58],[2,5,34],[2,6,46],[3,4,37],[3,5,90],[3,6,23],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (1,2)=18 Succeeded, w=19\",\"Add (1,6)=20 Succeeded, w=39\",\"Add (2,3)=22 Succeeded, w=61\",\"Add (3,6)=23 Failed, w=61\",\"Add (1,5)=25 Succeeded, w=86\",\"Add (2,5)=34 Failed, w=86\",\"Add (3,4)=37 Succeeded, w=123\",\"Add (2,6)=46 Failed, w=123\",\"Add (0,6)=47 Failed, w=123\",\"Add (4,5)=51 Failed, w=123\",\"Add (0,2)=55 Failed, w=123\",\"Add (1,3)=58 Failed, w=123\",\"Add (2,4)=58 Failed, w=123\",\"Add (0,1)=73 Failed, w=123\",\"Add (1,4)=84 Failed, w=123\",\"Add (3,5)=90 Failed, w=123\",\"Add (0,3)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,55],[0,3,95],[0,4,1],[0,6,47],[1,2,18],[1,3,58],[1,4,84],[1,5,25],[1,6,20],[2,3,22],[2,4,58],[2,5,34],[2,6,46],[3,4,37],[3,5,90],[3,6,23],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,2)=18,(1,6)=20,(2,3)=22,(3,6)=23,(1,5)=25,(2,5)=34,(3,4)=37,(2,6)=46,(0,6)=47,(4,5)=51,(0,2)=55,(1,3)=58,(2,4)=58,(0,1)=73,(1,4)=84,(3,5)=90,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=19\",\"Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=39\",\"Find(2)=1, Find(3)=3, Add (2,3)=22 Succeeded, w=61\",\"Find(3)=1, Find(6)=1, Add (3,6)=23 Failed, w=61\",\"Find(1)=1, Find(5)=5, Add (1,5)=25 Succeeded, w=86\",\"Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=86\",\"Find(3)=1, Find(4)=0, Add (3,4)=37 Succeeded, w=123\",\"Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=123\",\"Find(0)=1, Find(6)=1, Add (0,6)=47 Failed, w=123\",\"Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=123\",\"Find(0)=1, Find(2)=1, Add (0,2)=55 Failed, w=123\",\"Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=123\",\"Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=123\",\"Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=123\",\"Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=123\",\"Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=123\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,55],[0,3,95],[0,4,1],[0,6,47],[1,2,18],[1,3,58],[1,4,84],[1,5,25],[1,6,20],[2,3,22],[2,4,58],[2,5,34],[2,6,46],[3,4,37],[3,5,90],[3,6,23],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,2)=18,(1,6)=20,(2,3)=22,(3,6)=23,(1,5)=25,(2,5)=34,(3,4)=37,(2,6)=46,(0,6)=47,(4,5)=51,(0,2)=55,(1,3)=58,(2,4)=58,(0,1)=73,(1,4)=84,(3,5)=90,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=22 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=23 Failed, w=61\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=25 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=1, Find(4)=0, Add (3,4)=37 Succeeded, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=47 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=55 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,56],[0,2,69],[0,4,49],[0,5,20],[0,6,16],[1,2,76],[1,3,56],[1,4,12],[1,5,7],[1,6,25],[2,3,76],[2,4,26],[2,5,72],[2,6,90],[3,4,31],[3,5,45],[3,6,9],[4,5,75],[4,6,23],[5,6,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,69],[0,4,49],[0,5,20],[0,6,16],[1,2,76],[1,3,56],[1,4,12],[1,5,7],[1,6,25],[2,3,76],[2,4,26],[2,5,72],[2,6,90],[3,4,31],[3,5,45],[3,6,9],[4,5,75],[4,6,23],[5,6,26]]}",
"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\":[[0,1,56],[0,2,69],[0,4,49],[0,5,20],[0,6,16],[1,2,76],[1,3,56],[1,4,12],[1,5,7],[1,6,25],[2,3,76],[2,4,26],[2,5,72],[2,6,90],[3,4,31],[3,5,45],[3,6,9],[4,5,75],[4,6,23],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (2,4)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,69],[0,4,49],[0,5,20],[0,6,16],[1,2,76],[1,3,56],[1,4,12],[1,5,7],[1,6,25],[2,3,76],[2,4,26],[2,5,72],[2,6,90],[3,4,31],[3,5,45],[3,6,9],[4,5,75],[4,6,23],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (3,6)=9, w=16\",\"Add (1,4)=12, w=28\",\"Add (0,6)=16, w=44\",\"Add (0,5)=20, w=64\",\"Add (2,4)=26, 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\":[[0,1,56],[0,2,69],[0,4,49],[0,5,20],[0,6,16],[1,2,76],[1,3,56],[1,4,12],[1,5,7],[1,6,25],[2,3,76],[2,4,26],[2,5,72],[2,6,90],[3,4,31],[3,5,45],[3,6,9],[4,5,75],[4,6,23],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (3,6)=9 Succeeded, w=16\",\"Add (1,4)=12 Succeeded, w=28\",\"Add (0,6)=16 Succeeded, w=44\",\"Add (0,5)=20 Succeeded, w=64\",\"Add (4,6)=23 Failed, w=64\",\"Add (1,6)=25 Failed, w=64\",\"Add (2,4)=26 Succeeded, w=90\",\"Add (5,6)=26 Failed, w=90\",\"Add (3,4)=31 Failed, w=90\",\"Add (3,5)=45 Failed, w=90\",\"Add (0,4)=49 Failed, w=90\",\"Add (0,1)=56 Failed, w=90\",\"Add (1,3)=56 Failed, w=90\",\"Add (0,2)=69 Failed, w=90\",\"Add (2,5)=72 Failed, w=90\",\"Add (4,5)=75 Failed, w=90\",\"Add (1,2)=76 Failed, w=90\",\"Add (2,3)=76 Failed, w=90\",\"Add (2,6)=90 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\":[[0,1,56],[0,2,69],[0,4,49],[0,5,20],[0,6,16],[1,2,76],[1,3,56],[1,4,12],[1,5,7],[1,6,25],[2,3,76],[2,4,26],[2,5,72],[2,6,90],[3,4,31],[3,5,45],[3,6,9],[4,5,75],[4,6,23],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(3,6)=9,(1,4)=12,(0,6)=16,(0,5)=20,(4,6)=23,(1,6)=25,(2,4)=26,(5,6)=26,(3,4)=31,(3,5)=45,(0,4)=49,(0,1)=56,(1,3)=56,(0,2)=69,(2,5)=72,(4,5)=75,(1,2)=76,(2,3)=76,(2,6)=90]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=28\",\"Find(0)=0, Find(6)=3, Add (0,6)=16 Succeeded, w=44\",\"Find(0)=3, Find(5)=1, Add (0,5)=20 Succeeded, w=64\",\"Find(4)=3, Find(6)=3, Add (4,6)=23 Failed, w=64\",\"Find(1)=3, Find(6)=3, Add (1,6)=25 Failed, w=64\",\"Find(2)=2, Find(4)=3, Add (2,4)=26 Succeeded, w=90\",\"Find(5)=3, Find(6)=3, Add (5,6)=26 Failed, w=90\",\"Find(3)=3, Find(4)=3, Add (3,4)=31 Failed, w=90\",\"Find(3)=3, Find(5)=3, Add (3,5)=45 Failed, w=90\",\"Find(0)=3, Find(4)=3, Add (0,4)=49 Failed, w=90\",\"Find(0)=3, Find(1)=3, Add (0,1)=56 Failed, w=90\",\"Find(1)=3, Find(3)=3, Add (1,3)=56 Failed, w=90\",\"Find(0)=3, Find(2)=3, Add (0,2)=69 Failed, w=90\",\"Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=90\",\"Find(4)=3, Find(5)=3, Add (4,5)=75 Failed, w=90\",\"Find(1)=3, Find(2)=3, Add (1,2)=76 Failed, w=90\",\"Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=90\",\"Find(2)=3, Find(6)=3, Add (2,6)=90 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\":[[0,1,56],[0,2,69],[0,4,49],[0,5,20],[0,6,16],[1,2,76],[1,3,56],[1,4,12],[1,5,7],[1,6,25],[2,3,76],[2,4,26],[2,5,72],[2,6,90],[3,4,31],[3,5,45],[3,6,9],[4,5,75],[4,6,23],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(3,6)=9,(1,4)=12,(0,6)=16,(0,5)=20,(4,6)=23,(1,6)=25,(2,4)=26,(5,6)=26,(3,4)=31,(3,5)=45,(0,4)=49,(0,1)=56,(1,3)=56,(0,2)=69,(2,5)=72,(4,5)=75,(1,2)=76,(2,3)=76,(2,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=28\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=16 Succeeded, w=44\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 1, 5: 1, 6: 3}, Find(0)=3, Find(5)=1, Add (0,5)=20 Succeeded, w=64\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=23 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=25 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(2)=2, Find(4)=3, Add (2,4)=26 Succeeded, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=26 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=31 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=45 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=49 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=56 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=56 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=69 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=75 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=76 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=90 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,78],[2,3,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (1,2)=78, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (1,2)=78 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(1,2)=78]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=78 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(1,2)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=78 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,59],[0,2,8],[0,3,99],[1,2,99],[1,3,72],[2,3,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,8],[0,3,99],[1,2,99],[1,3,72],[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\":[[0,1,59],[0,2,8],[0,3,99],[1,2,99],[1,3,72],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,8],[0,3,99],[1,2,99],[1,3,72],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (2,3)=20, w=28\",\"Add (0,1)=59, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,8],[0,3,99],[1,2,99],[1,3,72],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (2,3)=20 Succeeded, w=28\",\"Add (0,1)=59 Succeeded, w=87\",\"Add (1,3)=72 Failed, w=87\",\"Add (0,3)=99 Failed, w=87\",\"Add (1,2)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,8],[0,3,99],[1,2,99],[1,3,72],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(2,3)=20,(0,1)=59,(1,3)=72,(0,3)=99,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(2)=0, Find(3)=3, Add (2,3)=20 Succeeded, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=87\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=87\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=87\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,8],[0,3,99],[1,2,99],[1,3,72],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(2,3)=20,(0,1)=59,(1,3)=72,(0,3)=99,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=20 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,9],[0,2,60],[0,3,2],[0,4,60],[0,5,23],[0,6,27],[0,7,70],[1,2,60],[1,3,86],[1,4,94],[1,5,1],[1,6,72],[1,7,89],[2,3,47],[2,4,29],[2,5,67],[2,6,53],[2,7,4],[3,5,44],[3,6,82],[3,7,35],[4,5,28],[4,6,16],[5,6,39],[5,7,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,60],[0,3,2],[0,4,60],[0,5,23],[0,6,27],[0,7,70],[1,2,60],[1,3,86],[1,4,94],[1,5,1],[1,6,72],[1,7,89],[2,3,47],[2,4,29],[2,5,67],[2,6,53],[2,7,4],[3,5,44],[3,6,82],[3,7,35],[4,5,28],[4,6,16],[5,6,39],[5,7,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,60],[0,3,2],[0,4,60],[0,5,23],[0,6,27],[0,7,70],[1,2,60],[1,3,86],[1,4,94],[1,5,1],[1,6,72],[1,7,89],[2,3,47],[2,4,29],[2,5,67],[2,6,53],[2,7,4],[3,5,44],[3,6,82],[3,7,35],[4,5,28],[4,6,16],[5,6,39],[5,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,3)\",\"Add (2,7)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (2,4)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,60],[0,3,2],[0,4,60],[0,5,23],[0,6,27],[0,7,70],[1,2,60],[1,3,86],[1,4,94],[1,5,1],[1,6,72],[1,7,89],[2,3,47],[2,4,29],[2,5,67],[2,6,53],[2,7,4],[3,5,44],[3,6,82],[3,7,35],[4,5,28],[4,6,16],[5,6,39],[5,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (0,3)=2, w=3\",\"Add (2,7)=4, w=7\",\"Add (0,1)=9, w=16\",\"Add (4,6)=16, w=32\",\"Add (0,6)=27, w=59\",\"Add (2,4)=29, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,60],[0,3,2],[0,4,60],[0,5,23],[0,6,27],[0,7,70],[1,2,60],[1,3,86],[1,4,94],[1,5,1],[1,6,72],[1,7,89],[2,3,47],[2,4,29],[2,5,67],[2,6,53],[2,7,4],[3,5,44],[3,6,82],[3,7,35],[4,5,28],[4,6,16],[5,6,39],[5,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (0,3)=2 Succeeded, w=3\",\"Add (2,7)=4 Succeeded, w=7\",\"Add (0,1)=9 Succeeded, w=16\",\"Add (4,6)=16 Succeeded, w=32\",\"Add (0,5)=23 Failed, w=32\",\"Add (0,6)=27 Succeeded, w=59\",\"Add (4,5)=28 Failed, w=59\",\"Add (2,4)=29 Succeeded, w=88\",\"Add (3,7)=35 Failed, w=88\",\"Add (5,6)=39 Failed, w=88\",\"Add (3,5)=44 Failed, w=88\",\"Add (2,3)=47 Failed, w=88\",\"Add (2,6)=53 Failed, w=88\",\"Add (0,2)=60 Failed, w=88\",\"Add (0,4)=60 Failed, w=88\",\"Add (1,2)=60 Failed, w=88\",\"Add (2,5)=67 Failed, w=88\",\"Add (0,7)=70 Failed, w=88\",\"Add (1,6)=72 Failed, w=88\",\"Add (3,6)=82 Failed, w=88\",\"Add (1,3)=86 Failed, w=88\",\"Add (1,7)=89 Failed, w=88\",\"Add (1,4)=94 Failed, w=88\",\"Add (5,7)=100 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,60],[0,3,2],[0,4,60],[0,5,23],[0,6,27],[0,7,70],[1,2,60],[1,3,86],[1,4,94],[1,5,1],[1,6,72],[1,7,89],[2,3,47],[2,4,29],[2,5,67],[2,6,53],[2,7,4],[3,5,44],[3,6,82],[3,7,35],[4,5,28],[4,6,16],[5,6,39],[5,7,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,3)=2,(2,7)=4,(0,1)=9,(4,6)=16,(0,5)=23,(0,6)=27,(4,5)=28,(2,4)=29,(3,7)=35,(5,6)=39,(3,5)=44,(2,3)=47,(2,6)=53,(0,2)=60,(0,4)=60,(1,2)=60,(2,5)=67,(0,7)=70,(1,6)=72,(3,6)=82,(1,3)=86,(1,7)=89,(1,4)=94,(5,7)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=3\",\"Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=16\",\"Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=32\",\"Find(0)=0, Find(5)=0, Add (0,5)=23 Failed, w=32\",\"Find(0)=0, Find(6)=4, Add (0,6)=27 Succeeded, w=59\",\"Find(4)=0, Find(5)=0, Add (4,5)=28 Failed, w=59\",\"Find(2)=2, Find(4)=0, Add (2,4)=29 Succeeded, w=88\",\"Find(3)=0, Find(7)=0, Add (3,7)=35 Failed, w=88\",\"Find(5)=0, Find(6)=0, Add (5,6)=39 Failed, w=88\",\"Find(3)=0, Find(5)=0, Add (3,5)=44 Failed, w=88\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=88\",\"Find(2)=0, Find(6)=0, Add (2,6)=53 Failed, w=88\",\"Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=88\",\"Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=88\",\"Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=88\",\"Find(0)=0, Find(7)=0, Add (0,7)=70 Failed, w=88\",\"Find(1)=0, Find(6)=0, Add (1,6)=72 Failed, w=88\",\"Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=88\",\"Find(1)=0, Find(7)=0, Add (1,7)=89 Failed, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=88\",\"Find(5)=0, Find(7)=0, Add (5,7)=100 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,60],[0,3,2],[0,4,60],[0,5,23],[0,6,27],[0,7,70],[1,2,60],[1,3,86],[1,4,94],[1,5,1],[1,6,72],[1,7,89],[2,3,47],[2,4,29],[2,5,67],[2,6,53],[2,7,4],[3,5,44],[3,6,82],[3,7,35],[4,5,28],[4,6,16],[5,6,39],[5,7,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,3)=2,(2,7)=4,(0,1)=9,(4,6)=16,(0,5)=23,(0,6)=27,(4,5)=28,(2,4)=29,(3,7)=35,(5,6)=39,(3,5)=44,(2,3)=47,(2,6)=53,(0,2)=60,(0,4)=60,(1,2)=60,(2,5)=67,(0,7)=70,(1,6)=72,(3,6)=82,(1,3)=86,(1,7)=89,(1,4)=94,(5,7)=100]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 4, 7: 2}, Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 4, 7: 2}, Find(0)=0, Find(5)=0, Add (0,5)=23 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 4, 7: 2}, Find(0)=0, Find(6)=4, Add (0,6)=27 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 4, 7: 2}, Find(4)=0, Find(5)=0, Add (4,5)=28 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 2}, Find(2)=2, Find(4)=0, Add (2,4)=29 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=35 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=39 Failed, w=88\",\"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)=44 Failed, w=88\",\"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)=47 Failed, w=88\",\"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)=53 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=88\",\"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)=60 Failed, w=88\",\"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)=67 Failed, w=88\",\"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)=70 Failed, w=88\",\"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)=72 Failed, w=88\",\"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)=82 Failed, w=88\",\"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)=86 Failed, w=88\",\"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)=89 Failed, w=88\",\"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)=94 Failed, w=88\",\"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)=100 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,10],[0,3,73],[1,2,58],[1,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,10],[0,3,73],[1,2,58],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,10],[0,3,73],[1,2,58],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,10],[0,3,73],[1,2,58],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (0,1)=36, w=46\",\"Add (1,3)=37, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,10],[0,3,73],[1,2,58],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (0,1)=36 Succeeded, w=46\",\"Add (1,3)=37 Succeeded, w=83\",\"Add (1,2)=58 Failed, w=83\",\"Add (0,3)=73 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,10],[0,3,73],[1,2,58],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(0,1)=36,(1,3)=37,(1,2)=58,(0,3)=73]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=46\",\"Find(1)=0, Find(3)=3, Add (1,3)=37 Succeeded, w=83\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=83\",\"Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,10],[0,3,73],[1,2,58],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(0,1)=36,(1,3)=37,(1,2)=58,(0,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=37 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,2,69],[0,3,70],[1,2,44],[1,3,66],[2,3,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,69],[0,3,70],[1,2,44],[1,3,66],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,69],[0,3,70],[1,2,44],[1,3,66],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,69],[0,3,70],[1,2,44],[1,3,66],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=44, w=44\",\"Add (1,3)=66, w=110\",\"Add (0,2)=69, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,69],[0,3,70],[1,2,44],[1,3,66],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=44 Succeeded, w=44\",\"Add (1,3)=66 Succeeded, w=110\",\"Add (0,2)=69 Succeeded, w=179\",\"Add (0,3)=70 Failed, w=179\",\"Add (2,3)=70 Failed, w=179\",\"Add (0,1)=91 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,69],[0,3,70],[1,2,44],[1,3,66],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=44,(1,3)=66,(0,2)=69,(0,3)=70,(2,3)=70,(0,1)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=44 Succeeded, w=44\",\"Find(1)=1, Find(3)=3, Add (1,3)=66 Succeeded, w=110\",\"Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=179\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=179\",\"Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=179\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,69],[0,3,70],[1,2,44],[1,3,66],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=44,(1,3)=66,(0,2)=69,(0,3)=70,(2,3)=70,(0,1)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=44 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=66 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,38],[0,2,48],[0,3,0],[0,4,77],[0,5,61],[0,6,20],[1,2,81],[1,3,36],[1,5,53],[1,6,84],[2,3,25],[2,4,90],[2,5,62],[3,4,85],[3,5,85],[3,6,6],[4,5,4],[5,6,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,48],[0,3,0],[0,4,77],[0,5,61],[0,6,20],[1,2,81],[1,3,36],[1,5,53],[1,6,84],[2,3,25],[2,4,90],[2,5,62],[3,4,85],[3,5,85],[3,6,6],[4,5,4],[5,6,79]]}",
"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\":[[0,1,38],[0,2,48],[0,3,0],[0,4,77],[0,5,61],[0,6,20],[1,2,81],[1,3,36],[1,5,53],[1,6,84],[2,3,25],[2,4,90],[2,5,62],[3,4,85],[3,5,85],[3,6,6],[4,5,4],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (1,5)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,48],[0,3,0],[0,4,77],[0,5,61],[0,6,20],[1,2,81],[1,3,36],[1,5,53],[1,6,84],[2,3,25],[2,4,90],[2,5,62],[3,4,85],[3,5,85],[3,6,6],[4,5,4],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (4,5)=4, w=4\",\"Add (3,6)=6, w=10\",\"Add (2,3)=25, w=35\",\"Add (1,3)=36, w=71\",\"Add (1,5)=53, 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\":[[0,1,38],[0,2,48],[0,3,0],[0,4,77],[0,5,61],[0,6,20],[1,2,81],[1,3,36],[1,5,53],[1,6,84],[2,3,25],[2,4,90],[2,5,62],[3,4,85],[3,5,85],[3,6,6],[4,5,4],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (4,5)=4 Succeeded, w=4\",\"Add (3,6)=6 Succeeded, w=10\",\"Add (0,6)=20 Failed, w=10\",\"Add (2,3)=25 Succeeded, w=35\",\"Add (1,3)=36 Succeeded, w=71\",\"Add (0,1)=38 Failed, w=71\",\"Add (0,2)=48 Failed, w=71\",\"Add (1,5)=53 Succeeded, w=124\",\"Add (0,5)=61 Failed, w=124\",\"Add (2,5)=62 Failed, w=124\",\"Add (0,4)=77 Failed, w=124\",\"Add (5,6)=79 Failed, w=124\",\"Add (1,2)=81 Failed, w=124\",\"Add (1,6)=84 Failed, w=124\",\"Add (3,4)=85 Failed, w=124\",\"Add (3,5)=85 Failed, w=124\",\"Add (2,4)=90 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\":[[0,1,38],[0,2,48],[0,3,0],[0,4,77],[0,5,61],[0,6,20],[1,2,81],[1,3,36],[1,5,53],[1,6,84],[2,3,25],[2,4,90],[2,5,62],[3,4,85],[3,5,85],[3,6,6],[4,5,4],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(4,5)=4,(3,6)=6,(0,6)=20,(2,3)=25,(1,3)=36,(0,1)=38,(0,2)=48,(1,5)=53,(0,5)=61,(2,5)=62,(0,4)=77,(5,6)=79,(1,2)=81,(1,6)=84,(3,4)=85,(3,5)=85,(2,4)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Find(3)=0, Find(6)=6, Add (3,6)=6 Succeeded, w=10\",\"Find(0)=0, Find(6)=0, Add (0,6)=20 Failed, w=10\",\"Find(2)=2, Find(3)=0, Add (2,3)=25 Succeeded, w=35\",\"Find(1)=1, Find(3)=0, Add (1,3)=36 Succeeded, w=71\",\"Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=71\",\"Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=71\",\"Find(1)=0, Find(5)=4, Add (1,5)=53 Succeeded, w=124\",\"Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=124\",\"Find(2)=0, Find(5)=0, Add (2,5)=62 Failed, w=124\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=124\",\"Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=124\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=124\",\"Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=124\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=124\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=124\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 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\":[[0,1,38],[0,2,48],[0,3,0],[0,4,77],[0,5,61],[0,6,20],[1,2,81],[1,3,36],[1,5,53],[1,6,84],[2,3,25],[2,4,90],[2,5,62],[3,4,85],[3,5,85],[3,6,6],[4,5,4],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(4,5)=4,(3,6)=6,(0,6)=20,(2,3)=25,(1,3)=36,(0,1)=38,(0,2)=48,(1,5)=53,(0,5)=61,(2,5)=62,(0,4)=77,(5,6)=79,(1,2)=81,(1,6)=84,(3,4)=85,(3,5)=85,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=20 Failed, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0}, Find(2)=2, Find(3)=0, Add (2,3)=25 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=36 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(1)=0, Find(5)=4, Add (1,5)=53 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=62 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[0,2,99],[0,3,21],[1,2,61],[2,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,99],[0,3,21],[1,2,61],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,99],[0,3,21],[1,2,61],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,99],[0,3,21],[1,2,61],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (0,3)=21, w=36\",\"Add (2,3)=58, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,99],[0,3,21],[1,2,61],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (0,3)=21 Succeeded, w=36\",\"Add (2,3)=58 Succeeded, w=94\",\"Add (1,2)=61 Failed, w=94\",\"Add (0,2)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,99],[0,3,21],[1,2,61],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(0,3)=21,(2,3)=58,(1,2)=61,(0,2)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=36\",\"Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=94\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,99],[0,3,21],[1,2,61],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(0,3)=21,(2,3)=58,(1,2)=61,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,3],[0,2,67],[0,3,10],[0,4,3],[1,2,8],[1,3,38],[1,4,63],[2,3,67],[3,4,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,67],[0,3,10],[0,4,3],[1,2,8],[1,3,38],[1,4,63],[2,3,67],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,67],[0,3,10],[0,4,3],[1,2,8],[1,3,38],[1,4,63],[2,3,67],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,67],[0,3,10],[0,4,3],[1,2,8],[1,3,38],[1,4,63],[2,3,67],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (0,1)=3, w=3\",\"Add (0,4)=3, w=6\",\"Add (1,2)=8, w=14\"],\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,67],[0,3,10],[0,4,3],[1,2,8],[1,3,38],[1,4,63],[2,3,67],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,4)=3 Succeeded, w=6\",\"Add (1,2)=8 Succeeded, w=14\",\"Add (0,3)=10 Failed, w=14\",\"Add (1,3)=38 Failed, w=14\",\"Add (1,4)=63 Failed, w=14\",\"Add (0,2)=67 Failed, w=14\",\"Add (2,3)=67 Failed, w=14\"],\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,67],[0,3,10],[0,4,3],[1,2,8],[1,3,38],[1,4,63],[2,3,67],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,1)=3,(0,4)=3,(1,2)=8,(0,3)=10,(1,3)=38,(1,4)=63,(0,2)=67,(2,3)=67]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=3, Add (0,4)=3 Succeeded, w=6\",\"Find(1)=0, Find(2)=2, Add (1,2)=8 Succeeded, w=14\",\"Find(0)=0, Find(3)=0, Add (0,3)=10 Failed, w=14\",\"Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=14\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=14\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=14\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=14\"],\"Answer\":14}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,67],[0,3,10],[0,4,3],[1,2,8],[1,3,38],[1,4,63],[2,3,67],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,1)=3,(0,4)=3,(1,2)=8,(0,3)=10,(1,3)=38,(1,4)=63,(0,2)=67,(2,3)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=2, Add (1,2)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=10 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=14\"],\"Answer\":14}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,7],[0,2,41],[0,3,45],[0,4,39],[1,3,99],[2,3,55],[3,4,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,41],[0,3,45],[0,4,39],[1,3,99],[2,3,55],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,41],[0,3,45],[0,4,39],[1,3,99],[2,3,55],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,41],[0,3,45],[0,4,39],[1,3,99],[2,3,55],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (0,4)=39, w=46\",\"Add (0,2)=41, w=87\",\"Add (0,3)=45, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,41],[0,3,45],[0,4,39],[1,3,99],[2,3,55],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,4)=39 Succeeded, w=46\",\"Add (0,2)=41 Succeeded, w=87\",\"Add (0,3)=45 Succeeded, w=132\",\"Add (2,3)=55 Failed, w=132\",\"Add (3,4)=98 Failed, w=132\",\"Add (1,3)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,41],[0,3,45],[0,4,39],[1,3,99],[2,3,55],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,4)=39,(0,2)=41,(0,3)=45,(2,3)=55,(3,4)=98,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=0, Find(4)=4, Add (0,4)=39 Succeeded, w=46\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=87\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=132\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=132\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,41],[0,3,45],[0,4,39],[1,3,99],[2,3,55],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,4)=39,(0,2)=41,(0,3)=45,(2,3)=55,(3,4)=98,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=39 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,21],[0,3,44],[0,4,62],[0,6,47],[0,7,72],[1,2,21],[1,3,92],[1,7,90],[2,3,17],[2,4,93],[2,5,69],[2,6,46],[2,7,90],[3,4,85],[3,5,11],[3,6,50],[3,7,36],[4,5,96],[4,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,21],[0,3,44],[0,4,62],[0,6,47],[0,7,72],[1,2,21],[1,3,92],[1,7,90],[2,3,17],[2,4,93],[2,5,69],[2,6,46],[2,7,90],[3,4,85],[3,5,11],[3,6,50],[3,7,36],[4,5,96],[4,7,73]]}",
"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\":[[0,2,21],[0,3,44],[0,4,62],[0,6,47],[0,7,72],[1,2,21],[1,3,92],[1,7,90],[2,3,17],[2,4,93],[2,5,69],[2,6,46],[2,7,90],[3,4,85],[3,5,11],[3,6,50],[3,7,36],[4,5,96],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (2,6)\",\"Add (0,4)\"],\"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\":[[0,2,21],[0,3,44],[0,4,62],[0,6,47],[0,7,72],[1,2,21],[1,3,92],[1,7,90],[2,3,17],[2,4,93],[2,5,69],[2,6,46],[2,7,90],[3,4,85],[3,5,11],[3,6,50],[3,7,36],[4,5,96],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11, w=11\",\"Add (2,3)=17, w=28\",\"Add (0,2)=21, w=49\",\"Add (1,2)=21, w=70\",\"Add (3,7)=36, w=106\",\"Add (2,6)=46, w=152\",\"Add (0,4)=62, 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\":[[0,2,21],[0,3,44],[0,4,62],[0,6,47],[0,7,72],[1,2,21],[1,3,92],[1,7,90],[2,3,17],[2,4,93],[2,5,69],[2,6,46],[2,7,90],[3,4,85],[3,5,11],[3,6,50],[3,7,36],[4,5,96],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11 Succeeded, w=11\",\"Add (2,3)=17 Succeeded, w=28\",\"Add (0,2)=21 Succeeded, w=49\",\"Add (1,2)=21 Succeeded, w=70\",\"Add (3,7)=36 Succeeded, w=106\",\"Add (0,3)=44 Failed, w=106\",\"Add (2,6)=46 Succeeded, w=152\",\"Add (0,6)=47 Failed, w=152\",\"Add (3,6)=50 Failed, w=152\",\"Add (0,4)=62 Succeeded, w=214\",\"Add (2,5)=69 Failed, w=214\",\"Add (0,7)=72 Failed, w=214\",\"Add (4,7)=73 Failed, w=214\",\"Add (3,4)=85 Failed, w=214\",\"Add (1,7)=90 Failed, w=214\",\"Add (2,7)=90 Failed, w=214\",\"Add (1,3)=92 Failed, w=214\",\"Add (2,4)=93 Failed, w=214\",\"Add (4,5)=96 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\":[[0,2,21],[0,3,44],[0,4,62],[0,6,47],[0,7,72],[1,2,21],[1,3,92],[1,7,90],[2,3,17],[2,4,93],[2,5,69],[2,6,46],[2,7,90],[3,4,85],[3,5,11],[3,6,50],[3,7,36],[4,5,96],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(2,3)=17,(0,2)=21,(1,2)=21,(3,7)=36,(0,3)=44,(2,6)=46,(0,6)=47,(3,6)=50,(0,4)=62,(2,5)=69,(0,7)=72,(4,7)=73,(3,4)=85,(1,7)=90,(2,7)=90,(1,3)=92,(2,4)=93,(4,5)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=28\",\"Find(0)=0, Find(2)=3, Add (0,2)=21 Succeeded, w=49\",\"Find(1)=1, Find(2)=3, Add (1,2)=21 Succeeded, w=70\",\"Find(3)=3, Find(7)=7, Add (3,7)=36 Succeeded, w=106\",\"Find(0)=3, Find(3)=3, Add (0,3)=44 Failed, w=106\",\"Find(2)=3, Find(6)=6, Add (2,6)=46 Succeeded, w=152\",\"Find(0)=3, Find(6)=3, Add (0,6)=47 Failed, w=152\",\"Find(3)=3, Find(6)=3, Add (3,6)=50 Failed, w=152\",\"Find(0)=3, Find(4)=4, Add (0,4)=62 Succeeded, w=214\",\"Find(2)=3, Find(5)=3, Add (2,5)=69 Failed, w=214\",\"Find(0)=3, Find(7)=3, Add (0,7)=72 Failed, w=214\",\"Find(4)=3, Find(7)=3, Add (4,7)=73 Failed, w=214\",\"Find(3)=3, Find(4)=3, Add (3,4)=85 Failed, w=214\",\"Find(1)=3, Find(7)=3, Add (1,7)=90 Failed, w=214\",\"Find(2)=3, Find(7)=3, Add (2,7)=90 Failed, w=214\",\"Find(1)=3, Find(3)=3, Add (1,3)=92 Failed, w=214\",\"Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=214\",\"Find(4)=3, Find(5)=3, Add (4,5)=96 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\":[[0,2,21],[0,3,44],[0,4,62],[0,6,47],[0,7,72],[1,2,21],[1,3,92],[1,7,90],[2,3,17],[2,4,93],[2,5,69],[2,6,46],[2,7,90],[3,4,85],[3,5,11],[3,6,50],[3,7,36],[4,5,96],[4,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(2,3)=17,(0,2)=21,(1,2)=21,(3,7)=36,(0,3)=44,(2,6)=46,(0,6)=47,(3,6)=50,(0,4)=62,(2,5)=69,(0,7)=72,(4,7)=73,(3,4)=85,(1,7)=90,(2,7)=90,(1,3)=92,(2,4)=93,(4,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=28\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(2)=3, Add (0,2)=21 Succeeded, w=49\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(1)=1, Find(2)=3, Add (1,2)=21 Succeeded, w=70\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=36 Succeeded, w=106\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=44 Failed, w=106\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=6, Add (2,6)=46 Succeeded, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=47 Failed, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=50 Failed, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=4, Add (0,4)=62 Succeeded, w=214\",\"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)=69 Failed, w=214\",\"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)=72 Failed, w=214\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=73 Failed, w=214\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=85 Failed, w=214\",\"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=214\",\"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)=90 Failed, w=214\",\"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)=92 Failed, w=214\",\"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)=93 Failed, w=214\",\"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)=96 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,47],[0,2,99],[0,3,92],[1,3,26],[2,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,99],[0,3,92],[1,3,26],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,99],[0,3,92],[1,3,26],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,99],[0,3,92],[1,3,26],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=26, w=26\",\"Add (0,1)=47, w=73\",\"Add (2,3)=85, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,99],[0,3,92],[1,3,26],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=26 Succeeded, w=26\",\"Add (0,1)=47 Succeeded, w=73\",\"Add (2,3)=85 Succeeded, w=158\",\"Add (0,3)=92 Failed, w=158\",\"Add (0,2)=99 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,99],[0,3,92],[1,3,26],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=26,(0,1)=47,(2,3)=85,(0,3)=92,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=26\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=73\",\"Find(2)=2, Find(3)=1, Add (2,3)=85 Succeeded, w=158\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=158\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,99],[0,3,92],[1,3,26],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=26,(0,1)=47,(2,3)=85,(0,3)=92,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=85 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,14],[0,3,85],[0,4,76],[0,5,31],[0,6,54],[0,7,92],[1,3,63],[1,4,4],[1,5,100],[1,6,30],[1,7,27],[2,3,8],[2,4,83],[2,5,48],[2,6,34],[2,7,14],[3,4,86],[3,5,98],[3,6,41],[3,7,91],[4,5,51],[4,6,32],[5,6,100],[5,7,95],[6,7,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,85],[0,4,76],[0,5,31],[0,6,54],[0,7,92],[1,3,63],[1,4,4],[1,5,100],[1,6,30],[1,7,27],[2,3,8],[2,4,83],[2,5,48],[2,6,34],[2,7,14],[3,4,86],[3,5,98],[3,6,41],[3,7,91],[4,5,51],[4,6,32],[5,6,100],[5,7,95],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,85],[0,4,76],[0,5,31],[0,6,54],[0,7,92],[1,3,63],[1,4,4],[1,5,100],[1,6,30],[1,7,27],[2,3,8],[2,4,83],[2,5,48],[2,6,34],[2,7,14],[3,4,86],[3,5,98],[3,6,41],[3,7,91],[4,5,51],[4,6,32],[5,6,100],[5,7,95],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,7)\",\"Add (1,7)\",\"Add (1,6)\",\"Add (0,5)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,85],[0,4,76],[0,5,31],[0,6,54],[0,7,92],[1,3,63],[1,4,4],[1,5,100],[1,6,30],[1,7,27],[2,3,8],[2,4,83],[2,5,48],[2,6,34],[2,7,14],[3,4,86],[3,5,98],[3,6,41],[3,7,91],[4,5,51],[4,6,32],[5,6,100],[5,7,95],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (2,3)=8, w=12\",\"Add (0,1)=14, w=26\",\"Add (2,7)=14, w=40\",\"Add (1,7)=27, w=67\",\"Add (1,6)=30, w=97\",\"Add (0,5)=31, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,85],[0,4,76],[0,5,31],[0,6,54],[0,7,92],[1,3,63],[1,4,4],[1,5,100],[1,6,30],[1,7,27],[2,3,8],[2,4,83],[2,5,48],[2,6,34],[2,7,14],[3,4,86],[3,5,98],[3,6,41],[3,7,91],[4,5,51],[4,6,32],[5,6,100],[5,7,95],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (2,3)=8 Succeeded, w=12\",\"Add (0,1)=14 Succeeded, w=26\",\"Add (2,7)=14 Succeeded, w=40\",\"Add (1,7)=27 Succeeded, w=67\",\"Add (1,6)=30 Succeeded, w=97\",\"Add (0,5)=31 Succeeded, w=128\",\"Add (4,6)=32 Failed, w=128\",\"Add (2,6)=34 Failed, w=128\",\"Add (3,6)=41 Failed, w=128\",\"Add (2,5)=48 Failed, w=128\",\"Add (4,5)=51 Failed, w=128\",\"Add (0,6)=54 Failed, w=128\",\"Add (1,3)=63 Failed, w=128\",\"Add (0,4)=76 Failed, w=128\",\"Add (2,4)=83 Failed, w=128\",\"Add (6,7)=83 Failed, w=128\",\"Add (0,3)=85 Failed, w=128\",\"Add (3,4)=86 Failed, w=128\",\"Add (3,7)=91 Failed, w=128\",\"Add (0,7)=92 Failed, w=128\",\"Add (5,7)=95 Failed, w=128\",\"Add (3,5)=98 Failed, w=128\",\"Add (1,5)=100 Failed, w=128\",\"Add (5,6)=100 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,85],[0,4,76],[0,5,31],[0,6,54],[0,7,92],[1,3,63],[1,4,4],[1,5,100],[1,6,30],[1,7,27],[2,3,8],[2,4,83],[2,5,48],[2,6,34],[2,7,14],[3,4,86],[3,5,98],[3,6,41],[3,7,91],[4,5,51],[4,6,32],[5,6,100],[5,7,95],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(2,3)=8,(0,1)=14,(2,7)=14,(1,7)=27,(1,6)=30,(0,5)=31,(4,6)=32,(2,6)=34,(3,6)=41,(2,5)=48,(4,5)=51,(0,6)=54,(1,3)=63,(0,4)=76,(2,4)=83,(6,7)=83,(0,3)=85,(3,4)=86,(3,7)=91,(0,7)=92,(5,7)=95,(3,5)=98,(1,5)=100,(5,6)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=26\",\"Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=40\",\"Find(1)=1, Find(7)=2, Add (1,7)=27 Succeeded, w=67\",\"Find(1)=1, Find(6)=6, Add (1,6)=30 Succeeded, w=97\",\"Find(0)=1, Find(5)=5, Add (0,5)=31 Succeeded, w=128\",\"Find(4)=1, Find(6)=1, Add (4,6)=32 Failed, w=128\",\"Find(2)=1, Find(6)=1, Add (2,6)=34 Failed, w=128\",\"Find(3)=1, Find(6)=1, Add (3,6)=41 Failed, w=128\",\"Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=128\",\"Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=128\",\"Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=128\",\"Find(1)=1, Find(3)=1, Add (1,3)=63 Failed, w=128\",\"Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=128\",\"Find(2)=1, Find(4)=1, Add (2,4)=83 Failed, w=128\",\"Find(6)=1, Find(7)=1, Add (6,7)=83 Failed, w=128\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=128\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=128\",\"Find(3)=1, Find(7)=1, Add (3,7)=91 Failed, w=128\",\"Find(0)=1, Find(7)=1, Add (0,7)=92 Failed, w=128\",\"Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=128\",\"Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=128\",\"Find(1)=1, Find(5)=1, Add (1,5)=100 Failed, w=128\",\"Find(5)=1, Find(6)=1, Add (5,6)=100 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,85],[0,4,76],[0,5,31],[0,6,54],[0,7,92],[1,3,63],[1,4,4],[1,5,100],[1,6,30],[1,7,27],[2,3,8],[2,4,83],[2,5,48],[2,6,34],[2,7,14],[3,4,86],[3,5,98],[3,6,41],[3,7,91],[4,5,51],[4,6,32],[5,6,100],[5,7,95],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(2,3)=8,(0,1)=14,(2,7)=14,(1,7)=27,(1,6)=30,(0,5)=31,(4,6)=32,(2,6)=34,(3,6)=41,(2,5)=48,(4,5)=51,(0,6)=54,(1,3)=63,(0,4)=76,(2,4)=83,(6,7)=83,(0,3)=85,(3,4)=86,(3,7)=91,(0,7)=92,(5,7)=95,(3,5)=98,(1,5)=100,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=27 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 1, 7: 2}, Find(1)=1, Find(6)=6, Add (1,6)=30 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(5)=5, Add (0,5)=31 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 2}, Find(4)=1, Find(6)=1, Add (4,6)=32 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(6)=1, Add (2,6)=34 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(6)=1, Add (3,6)=41 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(1)=1, Find(3)=1, Add (1,3)=63 Failed, w=128\",\"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)=76 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(4)=1, Add (2,4)=83 Failed, w=128\",\"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)=83 Failed, w=128\",\"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)=85 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=128\",\"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)=91 Failed, w=128\",\"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)=92 Failed, w=128\",\"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)=95 Failed, w=128\",\"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)=98 Failed, w=128\",\"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)=100 Failed, w=128\",\"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)=100 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,2,45],[0,3,89],[0,4,95],[0,5,69],[0,6,0],[1,2,74],[1,3,48],[1,4,39],[1,5,15],[1,6,72],[2,3,35],[2,4,96],[2,5,6],[2,6,84],[3,5,28],[3,6,37],[4,5,45],[4,6,80],[5,6,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,45],[0,3,89],[0,4,95],[0,5,69],[0,6,0],[1,2,74],[1,3,48],[1,4,39],[1,5,15],[1,6,72],[2,3,35],[2,4,96],[2,5,6],[2,6,84],[3,5,28],[3,6,37],[4,5,45],[4,6,80],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,45],[0,3,89],[0,4,95],[0,5,69],[0,6,0],[1,2,74],[1,3,48],[1,4,39],[1,5,15],[1,6,72],[2,3,35],[2,4,96],[2,5,6],[2,6,84],[3,5,28],[3,6,37],[4,5,45],[4,6,80],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (1,4)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,45],[0,3,89],[0,4,95],[0,5,69],[0,6,0],[1,2,74],[1,3,48],[1,4,39],[1,5,15],[1,6,72],[2,3,35],[2,4,96],[2,5,6],[2,6,84],[3,5,28],[3,6,37],[4,5,45],[4,6,80],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (2,5)=6, w=6\",\"Add (1,5)=15, w=21\",\"Add (3,5)=28, w=49\",\"Add (3,6)=37, w=86\",\"Add (1,4)=39, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,45],[0,3,89],[0,4,95],[0,5,69],[0,6,0],[1,2,74],[1,3,48],[1,4,39],[1,5,15],[1,6,72],[2,3,35],[2,4,96],[2,5,6],[2,6,84],[3,5,28],[3,6,37],[4,5,45],[4,6,80],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (2,5)=6 Succeeded, w=6\",\"Add (1,5)=15 Succeeded, w=21\",\"Add (3,5)=28 Succeeded, w=49\",\"Add (2,3)=35 Failed, w=49\",\"Add (3,6)=37 Succeeded, w=86\",\"Add (1,4)=39 Succeeded, w=125\",\"Add (0,2)=45 Failed, w=125\",\"Add (4,5)=45 Failed, w=125\",\"Add (1,3)=48 Failed, w=125\",\"Add (5,6)=67 Failed, w=125\",\"Add (0,5)=69 Failed, w=125\",\"Add (1,6)=72 Failed, w=125\",\"Add (1,2)=74 Failed, w=125\",\"Add (0,1)=79 Failed, w=125\",\"Add (4,6)=80 Failed, w=125\",\"Add (2,6)=84 Failed, w=125\",\"Add (0,3)=89 Failed, w=125\",\"Add (0,4)=95 Failed, w=125\",\"Add (2,4)=96 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,45],[0,3,89],[0,4,95],[0,5,69],[0,6,0],[1,2,74],[1,3,48],[1,4,39],[1,5,15],[1,6,72],[2,3,35],[2,4,96],[2,5,6],[2,6,84],[3,5,28],[3,6,37],[4,5,45],[4,6,80],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(2,5)=6,(1,5)=15,(3,5)=28,(2,3)=35,(3,6)=37,(1,4)=39,(0,2)=45,(4,5)=45,(1,3)=48,(5,6)=67,(0,5)=69,(1,6)=72,(1,2)=74,(0,1)=79,(4,6)=80,(2,6)=84,(0,3)=89,(0,4)=95,(2,4)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=21\",\"Find(3)=3, Find(5)=2, Add (3,5)=28 Succeeded, w=49\",\"Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=49\",\"Find(3)=2, Find(6)=0, Add (3,6)=37 Succeeded, w=86\",\"Find(1)=2, Find(4)=4, Add (1,4)=39 Succeeded, w=125\",\"Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=125\",\"Find(4)=2, Find(5)=2, Add (4,5)=45 Failed, w=125\",\"Find(1)=2, Find(3)=2, Add (1,3)=48 Failed, w=125\",\"Find(5)=2, Find(6)=2, Add (5,6)=67 Failed, w=125\",\"Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=125\",\"Find(1)=2, Find(6)=2, Add (1,6)=72 Failed, w=125\",\"Find(1)=2, Find(2)=2, Add (1,2)=74 Failed, w=125\",\"Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=125\",\"Find(4)=2, Find(6)=2, Add (4,6)=80 Failed, w=125\",\"Find(2)=2, Find(6)=2, Add (2,6)=84 Failed, w=125\",\"Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=125\",\"Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=125\",\"Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,45],[0,3,89],[0,4,95],[0,5,69],[0,6,0],[1,2,74],[1,3,48],[1,4,39],[1,5,15],[1,6,72],[2,3,35],[2,4,96],[2,5,6],[2,6,84],[3,5,28],[3,6,37],[4,5,45],[4,6,80],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(2,5)=6,(1,5)=15,(3,5)=28,(2,3)=35,(3,6)=37,(1,4)=39,(0,2)=45,(4,5)=45,(1,3)=48,(5,6)=67,(0,5)=69,(1,6)=72,(1,2)=74,(0,1)=79,(4,6)=80,(2,6)=84,(0,3)=89,(0,4)=95,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0}, Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 0}, Find(3)=3, Find(5)=2, Add (3,5)=28 Succeeded, w=49\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 0}, Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 0}, Find(3)=2, Find(6)=0, Add (3,6)=37 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(1)=2, Find(4)=4, Add (1,4)=39 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(4)=2, Find(5)=2, Add (4,5)=45 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(1)=2, Find(3)=2, Add (1,3)=48 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=67 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=72 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=74 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=80 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=84 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,76],[0,3,19],[2,3,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,76],[0,3,19],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,76],[0,3,19],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,76],[0,3,19],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,3)=19, w=20\",\"Add (0,1)=36, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,76],[0,3,19],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,3)=19 Succeeded, w=20\",\"Add (0,1)=36 Succeeded, w=56\",\"Add (0,2)=76 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,76],[0,3,19],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=19,(0,1)=36,(0,2)=76]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=20\",\"Find(0)=2, Find(1)=1, Add (0,1)=36 Succeeded, w=56\",\"Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,76],[0,3,19],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=19,(0,1)=36,(0,2)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=20\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=36 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,47],[0,3,63],[0,4,48],[0,5,52],[0,6,33],[1,2,13],[1,3,68],[1,4,66],[1,5,28],[1,6,65],[2,5,44],[2,6,63],[3,5,9],[4,5,67],[4,6,33],[5,6,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,47],[0,3,63],[0,4,48],[0,5,52],[0,6,33],[1,2,13],[1,3,68],[1,4,66],[1,5,28],[1,6,65],[2,5,44],[2,6,63],[3,5,9],[4,5,67],[4,6,33],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,47],[0,3,63],[0,4,48],[0,5,52],[0,6,33],[1,2,13],[1,3,68],[1,4,66],[1,5,28],[1,6,65],[2,5,44],[2,6,63],[3,5,9],[4,5,67],[4,6,33],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (0,2)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,47],[0,3,63],[0,4,48],[0,5,52],[0,6,33],[1,2,13],[1,3,68],[1,4,66],[1,5,28],[1,6,65],[2,5,44],[2,6,63],[3,5,9],[4,5,67],[4,6,33],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=9, w=9\",\"Add (1,2)=13, w=22\",\"Add (1,5)=28, w=50\",\"Add (0,6)=33, w=83\",\"Add (4,6)=33, w=116\",\"Add (0,2)=47, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,47],[0,3,63],[0,4,48],[0,5,52],[0,6,33],[1,2,13],[1,3,68],[1,4,66],[1,5,28],[1,6,65],[2,5,44],[2,6,63],[3,5,9],[4,5,67],[4,6,33],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=9 Succeeded, w=9\",\"Add (1,2)=13 Succeeded, w=22\",\"Add (1,5)=28 Succeeded, w=50\",\"Add (0,6)=33 Succeeded, w=83\",\"Add (4,6)=33 Succeeded, w=116\",\"Add (2,5)=44 Failed, w=116\",\"Add (0,2)=47 Succeeded, w=163\",\"Add (0,4)=48 Failed, w=163\",\"Add (0,5)=52 Failed, w=163\",\"Add (0,3)=63 Failed, w=163\",\"Add (2,6)=63 Failed, w=163\",\"Add (5,6)=64 Failed, w=163\",\"Add (1,6)=65 Failed, w=163\",\"Add (1,4)=66 Failed, w=163\",\"Add (4,5)=67 Failed, w=163\",\"Add (1,3)=68 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,47],[0,3,63],[0,4,48],[0,5,52],[0,6,33],[1,2,13],[1,3,68],[1,4,66],[1,5,28],[1,6,65],[2,5,44],[2,6,63],[3,5,9],[4,5,67],[4,6,33],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=9,(1,2)=13,(1,5)=28,(0,6)=33,(4,6)=33,(2,5)=44,(0,2)=47,(0,4)=48,(0,5)=52,(0,3)=63,(2,6)=63,(5,6)=64,(1,6)=65,(1,4)=66,(4,5)=67,(1,3)=68]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=22\",\"Find(1)=1, Find(5)=3, Add (1,5)=28 Succeeded, w=50\",\"Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=83\",\"Find(4)=4, Find(6)=0, Add (4,6)=33 Succeeded, w=116\",\"Find(2)=1, Find(5)=1, Add (2,5)=44 Failed, w=116\",\"Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=163\",\"Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=163\",\"Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=163\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=163\",\"Find(2)=1, Find(6)=1, Add (2,6)=63 Failed, w=163\",\"Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=163\",\"Find(1)=1, Find(6)=1, Add (1,6)=65 Failed, w=163\",\"Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=163\",\"Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=163\",\"Find(1)=1, Find(3)=1, Add (1,3)=68 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,47],[0,3,63],[0,4,48],[0,5,52],[0,6,33],[1,2,13],[1,3,68],[1,4,66],[1,5,28],[1,6,65],[2,5,44],[2,6,63],[3,5,9],[4,5,67],[4,6,33],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=9,(1,2)=13,(1,5)=28,(0,6)=33,(4,6)=33,(2,5)=44,(0,2)=47,(0,4)=48,(0,5)=52,(0,3)=63,(2,6)=63,(5,6)=64,(1,6)=65,(1,4)=66,(4,5)=67,(1,3)=68]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 6}, Find(1)=1, Find(5)=3, Add (1,5)=28 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=33 Succeeded, w=116\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0}, Find(2)=1, Find(5)=1, Add (2,5)=44 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=63 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=65 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=68 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,2,18],[0,3,40],[0,4,50],[0,5,94],[0,6,8],[1,2,42],[1,3,72],[1,4,54],[1,5,46],[1,6,95],[2,3,98],[2,4,90],[2,5,15],[2,6,36],[3,4,91],[3,5,28],[3,6,10],[4,5,14],[4,6,81],[5,6,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,18],[0,3,40],[0,4,50],[0,5,94],[0,6,8],[1,2,42],[1,3,72],[1,4,54],[1,5,46],[1,6,95],[2,3,98],[2,4,90],[2,5,15],[2,6,36],[3,4,91],[3,5,28],[3,6,10],[4,5,14],[4,6,81],[5,6,73]]}",
"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],\"edges\":[[0,1,82],[0,2,18],[0,3,40],[0,4,50],[0,5,94],[0,6,8],[1,2,42],[1,3,72],[1,4,54],[1,5,46],[1,6,95],[2,3,98],[2,4,90],[2,5,15],[2,6,36],[3,4,91],[3,5,28],[3,6,10],[4,5,14],[4,6,81],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,18],[0,3,40],[0,4,50],[0,5,94],[0,6,8],[1,2,42],[1,3,72],[1,4,54],[1,5,46],[1,6,95],[2,3,98],[2,4,90],[2,5,15],[2,6,36],[3,4,91],[3,5,28],[3,6,10],[4,5,14],[4,6,81],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=8, w=8\",\"Add (3,6)=10, w=18\",\"Add (4,5)=14, w=32\",\"Add (2,5)=15, w=47\",\"Add (0,2)=18, w=65\",\"Add (1,2)=42, 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],\"edges\":[[0,1,82],[0,2,18],[0,3,40],[0,4,50],[0,5,94],[0,6,8],[1,2,42],[1,3,72],[1,4,54],[1,5,46],[1,6,95],[2,3,98],[2,4,90],[2,5,15],[2,6,36],[3,4,91],[3,5,28],[3,6,10],[4,5,14],[4,6,81],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=8 Succeeded, w=8\",\"Add (3,6)=10 Succeeded, w=18\",\"Add (4,5)=14 Succeeded, w=32\",\"Add (2,5)=15 Succeeded, w=47\",\"Add (0,2)=18 Succeeded, w=65\",\"Add (3,5)=28 Failed, w=65\",\"Add (2,6)=36 Failed, w=65\",\"Add (0,3)=40 Failed, w=65\",\"Add (1,2)=42 Succeeded, w=107\",\"Add (1,5)=46 Failed, w=107\",\"Add (0,4)=50 Failed, w=107\",\"Add (1,4)=54 Failed, w=107\",\"Add (1,3)=72 Failed, w=107\",\"Add (5,6)=73 Failed, w=107\",\"Add (4,6)=81 Failed, w=107\",\"Add (0,1)=82 Failed, w=107\",\"Add (2,4)=90 Failed, w=107\",\"Add (3,4)=91 Failed, w=107\",\"Add (0,5)=94 Failed, w=107\",\"Add (1,6)=95 Failed, w=107\",\"Add (2,3)=98 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],\"edges\":[[0,1,82],[0,2,18],[0,3,40],[0,4,50],[0,5,94],[0,6,8],[1,2,42],[1,3,72],[1,4,54],[1,5,46],[1,6,95],[2,3,98],[2,4,90],[2,5,15],[2,6,36],[3,4,91],[3,5,28],[3,6,10],[4,5,14],[4,6,81],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=8,(3,6)=10,(4,5)=14,(2,5)=15,(0,2)=18,(3,5)=28,(2,6)=36,(0,3)=40,(1,2)=42,(1,5)=46,(0,4)=50,(1,4)=54,(1,3)=72,(5,6)=73,(4,6)=81,(0,1)=82,(2,4)=90,(3,4)=91,(0,5)=94,(1,6)=95,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=8\",\"Find(3)=3, Find(6)=0, Add (3,6)=10 Succeeded, w=18\",\"Find(4)=4, Find(5)=5, Add (4,5)=14 Succeeded, w=32\",\"Find(2)=2, Find(5)=4, Add (2,5)=15 Succeeded, w=47\",\"Find(0)=0, Find(2)=4, Add (0,2)=18 Succeeded, w=65\",\"Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=65\",\"Find(2)=0, Find(6)=0, Add (2,6)=36 Failed, w=65\",\"Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=65\",\"Find(1)=1, Find(2)=0, Add (1,2)=42 Succeeded, w=107\",\"Find(1)=0, Find(5)=0, Add (1,5)=46 Failed, w=107\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=107\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=107\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=107\",\"Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=107\",\"Find(4)=0, Find(6)=0, Add (4,6)=81 Failed, w=107\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=107\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=107\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=107\",\"Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=107\",\"Find(1)=0, Find(6)=0, Add (1,6)=95 Failed, w=107\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 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],\"edges\":[[0,1,82],[0,2,18],[0,3,40],[0,4,50],[0,5,94],[0,6,8],[1,2,42],[1,3,72],[1,4,54],[1,5,46],[1,6,95],[2,3,98],[2,4,90],[2,5,15],[2,6,36],[3,4,91],[3,5,28],[3,6,10],[4,5,14],[4,6,81],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=8,(3,6)=10,(4,5)=14,(2,5)=15,(0,2)=18,(3,5)=28,(2,6)=36,(0,3)=40,(1,2)=42,(1,5)=46,(0,4)=50,(1,4)=54,(1,3)=72,(5,6)=73,(4,6)=81,(0,1)=82,(2,4)=90,(3,4)=91,(0,5)=94,(1,6)=95,(2,3)=98]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(4)=4, Find(5)=5, Add (4,5)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 0}, Find(2)=2, Find(5)=4, Add (2,5)=15 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(2)=4, Add (0,2)=18 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=36 Failed, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=42 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=46 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=81 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=95 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,7],[0,2,25],[0,3,91],[0,4,58],[1,3,45],[2,3,64],[2,4,85],[3,4,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[0,3,91],[0,4,58],[1,3,45],[2,3,64],[2,4,85],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[0,3,91],[0,4,58],[1,3,45],[2,3,64],[2,4,85],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[0,3,91],[0,4,58],[1,3,45],[2,3,64],[2,4,85],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (0,2)=25, w=32\",\"Add (1,3)=45, w=77\",\"Add (0,4)=58, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[0,3,91],[0,4,58],[1,3,45],[2,3,64],[2,4,85],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,2)=25 Succeeded, w=32\",\"Add (1,3)=45 Succeeded, w=77\",\"Add (0,4)=58 Succeeded, w=135\",\"Add (2,3)=64 Failed, w=135\",\"Add (2,4)=85 Failed, w=135\",\"Add (3,4)=85 Failed, w=135\",\"Add (0,3)=91 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[0,3,91],[0,4,58],[1,3,45],[2,3,64],[2,4,85],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,2)=25,(1,3)=45,(0,4)=58,(2,3)=64,(2,4)=85,(3,4)=85,(0,3)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=32\",\"Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=77\",\"Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=135\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=135\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[0,3,91],[0,4,58],[1,3,45],[2,3,64],[2,4,85],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,2)=25,(1,3)=45,(0,4)=58,(2,3)=64,(2,4)=85,(3,4)=85,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,30],[0,2,86],[0,3,88],[0,4,82],[0,5,34],[0,6,89],[0,7,81],[1,2,43],[1,4,0],[1,5,13],[1,6,60],[1,7,19],[2,3,24],[2,4,72],[2,5,82],[2,6,36],[2,7,35],[3,4,51],[3,5,25],[3,6,35],[4,5,74],[4,6,51],[4,7,5],[5,6,56],[5,7,42],[6,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,86],[0,3,88],[0,4,82],[0,5,34],[0,6,89],[0,7,81],[1,2,43],[1,4,0],[1,5,13],[1,6,60],[1,7,19],[2,3,24],[2,4,72],[2,5,82],[2,6,36],[2,7,35],[3,4,51],[3,5,25],[3,6,35],[4,5,74],[4,6,51],[4,7,5],[5,6,56],[5,7,42],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,86],[0,3,88],[0,4,82],[0,5,34],[0,6,89],[0,7,81],[1,2,43],[1,4,0],[1,5,13],[1,6,60],[1,7,19],[2,3,24],[2,4,72],[2,5,82],[2,6,36],[2,7,35],[3,4,51],[3,5,25],[3,6,35],[4,5,74],[4,6,51],[4,7,5],[5,6,56],[5,7,42],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,7)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (3,6)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,86],[0,3,88],[0,4,82],[0,5,34],[0,6,89],[0,7,81],[1,2,43],[1,4,0],[1,5,13],[1,6,60],[1,7,19],[2,3,24],[2,4,72],[2,5,82],[2,6,36],[2,7,35],[3,4,51],[3,5,25],[3,6,35],[4,5,74],[4,6,51],[4,7,5],[5,6,56],[5,7,42],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (4,7)=5, w=5\",\"Add (1,5)=13, w=18\",\"Add (2,3)=24, w=42\",\"Add (3,5)=25, w=67\",\"Add (0,1)=30, w=97\",\"Add (3,6)=35, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,86],[0,3,88],[0,4,82],[0,5,34],[0,6,89],[0,7,81],[1,2,43],[1,4,0],[1,5,13],[1,6,60],[1,7,19],[2,3,24],[2,4,72],[2,5,82],[2,6,36],[2,7,35],[3,4,51],[3,5,25],[3,6,35],[4,5,74],[4,6,51],[4,7,5],[5,6,56],[5,7,42],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (4,7)=5 Succeeded, w=5\",\"Add (1,5)=13 Succeeded, w=18\",\"Add (1,7)=19 Failed, w=18\",\"Add (2,3)=24 Succeeded, w=42\",\"Add (3,5)=25 Succeeded, w=67\",\"Add (0,1)=30 Succeeded, w=97\",\"Add (0,5)=34 Failed, w=97\",\"Add (2,7)=35 Failed, w=97\",\"Add (3,6)=35 Succeeded, w=132\",\"Add (2,6)=36 Failed, w=132\",\"Add (5,7)=42 Failed, w=132\",\"Add (1,2)=43 Failed, w=132\",\"Add (3,4)=51 Failed, w=132\",\"Add (4,6)=51 Failed, w=132\",\"Add (5,6)=56 Failed, w=132\",\"Add (1,6)=60 Failed, w=132\",\"Add (2,4)=72 Failed, w=132\",\"Add (4,5)=74 Failed, w=132\",\"Add (0,7)=81 Failed, w=132\",\"Add (0,4)=82 Failed, w=132\",\"Add (2,5)=82 Failed, w=132\",\"Add (0,2)=86 Failed, w=132\",\"Add (0,3)=88 Failed, w=132\",\"Add (6,7)=88 Failed, w=132\",\"Add (0,6)=89 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,86],[0,3,88],[0,4,82],[0,5,34],[0,6,89],[0,7,81],[1,2,43],[1,4,0],[1,5,13],[1,6,60],[1,7,19],[2,3,24],[2,4,72],[2,5,82],[2,6,36],[2,7,35],[3,4,51],[3,5,25],[3,6,35],[4,5,74],[4,6,51],[4,7,5],[5,6,56],[5,7,42],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(4,7)=5,(1,5)=13,(1,7)=19,(2,3)=24,(3,5)=25,(0,1)=30,(0,5)=34,(2,7)=35,(3,6)=35,(2,6)=36,(5,7)=42,(1,2)=43,(3,4)=51,(4,6)=51,(5,6)=56,(1,6)=60,(2,4)=72,(4,5)=74,(0,7)=81,(0,4)=82,(2,5)=82,(0,2)=86,(0,3)=88,(6,7)=88,(0,6)=89]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(4)=1, Find(7)=7, Add (4,7)=5 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=18\",\"Find(1)=1, Find(7)=1, Add (1,7)=19 Failed, w=18\",\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=42\",\"Find(3)=2, Find(5)=1, Add (3,5)=25 Succeeded, w=67\",\"Find(0)=0, Find(1)=2, Add (0,1)=30 Succeeded, w=97\",\"Find(0)=2, Find(5)=2, Add (0,5)=34 Failed, w=97\",\"Find(2)=2, Find(7)=2, Add (2,7)=35 Failed, w=97\",\"Find(3)=2, Find(6)=6, Add (3,6)=35 Succeeded, w=132\",\"Find(2)=2, Find(6)=2, Add (2,6)=36 Failed, w=132\",\"Find(5)=2, Find(7)=2, Add (5,7)=42 Failed, w=132\",\"Find(1)=2, Find(2)=2, Add (1,2)=43 Failed, w=132\",\"Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=132\",\"Find(4)=2, Find(6)=2, Add (4,6)=51 Failed, w=132\",\"Find(5)=2, Find(6)=2, Add (5,6)=56 Failed, w=132\",\"Find(1)=2, Find(6)=2, Add (1,6)=60 Failed, w=132\",\"Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=132\",\"Find(4)=2, Find(5)=2, Add (4,5)=74 Failed, w=132\",\"Find(0)=2, Find(7)=2, Add (0,7)=81 Failed, w=132\",\"Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=132\",\"Find(2)=2, Find(5)=2, Add (2,5)=82 Failed, w=132\",\"Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=132\",\"Find(0)=2, Find(3)=2, Add (0,3)=88 Failed, w=132\",\"Find(6)=2, Find(7)=2, Add (6,7)=88 Failed, w=132\",\"Find(0)=2, Find(6)=2, Add (0,6)=89 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,86],[0,3,88],[0,4,82],[0,5,34],[0,6,89],[0,7,81],[1,2,43],[1,4,0],[1,5,13],[1,6,60],[1,7,19],[2,3,24],[2,4,72],[2,5,82],[2,6,36],[2,7,35],[3,4,51],[3,5,25],[3,6,35],[4,5,74],[4,6,51],[4,7,5],[5,6,56],[5,7,42],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(4,7)=5,(1,5)=13,(1,7)=19,(2,3)=24,(3,5)=25,(0,1)=30,(0,5)=34,(2,7)=35,(3,6)=35,(2,6)=36,(5,7)=42,(1,2)=43,(3,4)=51,(4,6)=51,(5,6)=56,(1,6)=60,(2,4)=72,(4,5)=74,(0,7)=81,(0,4)=82,(2,5)=82,(0,2)=86,(0,3)=88,(6,7)=88,(0,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=19 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=42\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(3)=2, Find(5)=1, Add (3,5)=25 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(1)=2, Add (0,1)=30 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 6, 7: 1}, Find(0)=2, Find(5)=2, Add (0,5)=34 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=35 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=6, Add (3,6)=35 Succeeded, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=36 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=42 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=43 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=132\",\"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)=51 Failed, w=132\",\"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)=56 Failed, w=132\",\"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)=60 Failed, w=132\",\"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)=72 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=74 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=81 Failed, w=132\",\"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)=82 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=82 Failed, w=132\",\"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)=86 Failed, w=132\",\"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)=88 Failed, w=132\",\"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)=88 Failed, w=132\",\"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)=89 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,40],[0,4,53],[0,5,27],[0,6,97],[0,7,82],[1,3,52],[1,4,77],[1,5,85],[1,6,1],[2,3,46],[2,4,47],[2,5,9],[2,6,81],[2,7,42],[3,4,20],[3,5,83],[3,6,94],[3,7,71],[4,5,93],[4,6,90],[4,7,10],[5,6,1],[6,7,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,4,53],[0,5,27],[0,6,97],[0,7,82],[1,3,52],[1,4,77],[1,5,85],[1,6,1],[2,3,46],[2,4,47],[2,5,9],[2,6,81],[2,7,42],[3,4,20],[3,5,83],[3,6,94],[3,7,71],[4,5,93],[4,6,90],[4,7,10],[5,6,1],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,4,53],[0,5,27],[0,6,97],[0,7,82],[1,3,52],[1,4,77],[1,5,85],[1,6,1],[2,3,46],[2,4,47],[2,5,9],[2,6,81],[2,7,42],[3,4,20],[3,5,83],[3,6,94],[3,7,71],[4,5,93],[4,6,90],[4,7,10],[5,6,1],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (4,7)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (0,5)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,4,53],[0,5,27],[0,6,97],[0,7,82],[1,3,52],[1,4,77],[1,5,85],[1,6,1],[2,3,46],[2,4,47],[2,5,9],[2,6,81],[2,7,42],[3,4,20],[3,5,83],[3,6,94],[3,7,71],[4,5,93],[4,6,90],[4,7,10],[5,6,1],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (5,6)=1, w=2\",\"Add (2,5)=9, w=11\",\"Add (4,7)=10, w=21\",\"Add (3,4)=20, w=41\",\"Add (6,7)=25, w=66\",\"Add (0,5)=27, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,4,53],[0,5,27],[0,6,97],[0,7,82],[1,3,52],[1,4,77],[1,5,85],[1,6,1],[2,3,46],[2,4,47],[2,5,9],[2,6,81],[2,7,42],[3,4,20],[3,5,83],[3,6,94],[3,7,71],[4,5,93],[4,6,90],[4,7,10],[5,6,1],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (5,6)=1 Succeeded, w=2\",\"Add (2,5)=9 Succeeded, w=11\",\"Add (4,7)=10 Succeeded, w=21\",\"Add (3,4)=20 Succeeded, w=41\",\"Add (6,7)=25 Succeeded, w=66\",\"Add (0,5)=27 Succeeded, w=93\",\"Add (0,1)=40 Failed, w=93\",\"Add (2,7)=42 Failed, w=93\",\"Add (2,3)=46 Failed, w=93\",\"Add (2,4)=47 Failed, w=93\",\"Add (1,3)=52 Failed, w=93\",\"Add (0,4)=53 Failed, w=93\",\"Add (3,7)=71 Failed, w=93\",\"Add (1,4)=77 Failed, w=93\",\"Add (2,6)=81 Failed, w=93\",\"Add (0,7)=82 Failed, w=93\",\"Add (3,5)=83 Failed, w=93\",\"Add (1,5)=85 Failed, w=93\",\"Add (4,6)=90 Failed, w=93\",\"Add (4,5)=93 Failed, w=93\",\"Add (3,6)=94 Failed, w=93\",\"Add (0,6)=97 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,4,53],[0,5,27],[0,6,97],[0,7,82],[1,3,52],[1,4,77],[1,5,85],[1,6,1],[2,3,46],[2,4,47],[2,5,9],[2,6,81],[2,7,42],[3,4,20],[3,5,83],[3,6,94],[3,7,71],[4,5,93],[4,6,90],[4,7,10],[5,6,1],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(5,6)=1,(2,5)=9,(4,7)=10,(3,4)=20,(6,7)=25,(0,5)=27,(0,1)=40,(2,7)=42,(2,3)=46,(2,4)=47,(1,3)=52,(0,4)=53,(3,7)=71,(1,4)=77,(2,6)=81,(0,7)=82,(3,5)=83,(1,5)=85,(4,6)=90,(4,5)=93,(3,6)=94,(0,6)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=1, Add (5,6)=1 Succeeded, w=2\",\"Find(2)=2, Find(5)=1, Add (2,5)=9 Succeeded, w=11\",\"Find(4)=4, Find(7)=7, Add (4,7)=10 Succeeded, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=41\",\"Find(6)=1, Find(7)=4, Add (6,7)=25 Succeeded, w=66\",\"Find(0)=0, Find(5)=1, Add (0,5)=27 Succeeded, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=40 Failed, w=93\",\"Find(2)=1, Find(7)=1, Add (2,7)=42 Failed, w=93\",\"Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=93\",\"Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=93\",\"Find(1)=1, Find(3)=1, Add (1,3)=52 Failed, w=93\",\"Find(0)=1, Find(4)=1, Add (0,4)=53 Failed, w=93\",\"Find(3)=1, Find(7)=1, Add (3,7)=71 Failed, w=93\",\"Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=93\",\"Find(2)=1, Find(6)=1, Add (2,6)=81 Failed, w=93\",\"Find(0)=1, Find(7)=1, Add (0,7)=82 Failed, w=93\",\"Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=93\",\"Find(1)=1, Find(5)=1, Add (1,5)=85 Failed, w=93\",\"Find(4)=1, Find(6)=1, Add (4,6)=90 Failed, w=93\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=93\",\"Find(3)=1, Find(6)=1, Add (3,6)=94 Failed, w=93\",\"Find(0)=1, Find(6)=1, Add (0,6)=97 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,4,53],[0,5,27],[0,6,97],[0,7,82],[1,3,52],[1,4,77],[1,5,85],[1,6,1],[2,3,46],[2,4,47],[2,5,9],[2,6,81],[2,7,42],[3,4,20],[3,5,83],[3,6,94],[3,7,71],[4,5,93],[4,6,90],[4,7,10],[5,6,1],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(5,6)=1,(2,5)=9,(4,7)=10,(3,4)=20,(6,7)=25,(0,5)=27,(0,1)=40,(2,7)=42,(2,3)=46,(2,4)=47,(1,3)=52,(0,4)=53,(3,7)=71,(1,4)=77,(2,6)=81,(0,7)=82,(3,5)=83,(1,5)=85,(4,6)=90,(4,5)=93,(3,6)=94,(0,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(5)=5, Find(6)=1, Add (5,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(2)=2, Find(5)=1, Add (2,5)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 4, 5: 1, 6: 1, 7: 4}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 1, 5: 1, 6: 1, 7: 4}, Find(6)=1, Find(7)=4, Add (6,7)=25 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 4, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=0, Find(5)=1, Add (0,5)=27 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 4, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(1)=1, Add (0,1)=40 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 4, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=42 Failed, w=93\",\"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)=46 Failed, w=93\",\"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)=47 Failed, w=93\",\"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)=52 Failed, w=93\",\"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)=53 Failed, w=93\",\"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)=71 Failed, w=93\",\"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)=77 Failed, w=93\",\"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=93\",\"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)=82 Failed, w=93\",\"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)=83 Failed, w=93\",\"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)=85 Failed, w=93\",\"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)=90 Failed, w=93\",\"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)=93 Failed, w=93\",\"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)=94 Failed, w=93\",\"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)=97 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,99],[0,2,5],[0,3,44],[1,4,7],[2,4,69],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,5],[0,3,44],[1,4,7],[2,4,69],[3,4,11]]}",
"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\":[[0,1,99],[0,2,5],[0,3,44],[1,4,7],[2,4,69],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,5],[0,3,44],[1,4,7],[2,4,69],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,4)=7, w=12\",\"Add (3,4)=11, w=23\",\"Add (0,3)=44, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,5],[0,3,44],[1,4,7],[2,4,69],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,4)=7 Succeeded, w=12\",\"Add (3,4)=11 Succeeded, w=23\",\"Add (0,3)=44 Succeeded, w=67\",\"Add (2,4)=69 Failed, w=67\",\"Add (0,1)=99 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\":[[0,1,99],[0,2,5],[0,3,44],[1,4,7],[2,4,69],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,4)=7,(3,4)=11,(0,3)=44,(2,4)=69,(0,1)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=12\",\"Find(3)=3, Find(4)=1, Add (3,4)=11 Succeeded, w=23\",\"Find(0)=0, Find(3)=1, Add (0,3)=44 Succeeded, w=67\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=67\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 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\":[[0,1,99],[0,2,5],[0,3,44],[1,4,7],[2,4,69],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,4)=7,(3,4)=11,(0,3)=44,(2,4)=69,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=44 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,43],[0,5,52],[1,2,56],[1,5,53],[2,3,86],[2,4,96],[2,5,10],[3,4,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,43],[0,5,52],[1,2,56],[1,5,53],[2,3,86],[2,4,96],[2,5,10],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":255}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,43],[0,5,52],[1,2,56],[1,5,53],[2,3,86],[2,4,96],[2,5,10],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":255}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,43],[0,5,52],[1,2,56],[1,5,53],[2,3,86],[2,4,96],[2,5,10],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=10, w=10\",\"Add (0,2)=43, w=53\",\"Add (1,5)=53, w=106\",\"Add (3,4)=63, w=169\",\"Add (2,3)=86, w=255\"],\"Answer\":255}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,43],[0,5,52],[1,2,56],[1,5,53],[2,3,86],[2,4,96],[2,5,10],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=10 Succeeded, w=10\",\"Add (0,2)=43 Succeeded, w=53\",\"Add (0,5)=52 Failed, w=53\",\"Add (1,5)=53 Succeeded, w=106\",\"Add (1,2)=56 Failed, w=106\",\"Add (3,4)=63 Succeeded, w=169\",\"Add (2,3)=86 Succeeded, w=255\",\"Add (2,4)=96 Failed, w=255\"],\"Answer\":255}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,43],[0,5,52],[1,2,56],[1,5,53],[2,3,86],[2,4,96],[2,5,10],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=10,(0,2)=43,(0,5)=52,(1,5)=53,(1,2)=56,(3,4)=63,(2,3)=86,(2,4)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=53\",\"Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=53\",\"Find(1)=1, Find(5)=2, Add (1,5)=53 Succeeded, w=106\",\"Find(1)=2, Find(2)=2, Add (1,2)=56 Failed, w=106\",\"Find(3)=3, Find(4)=4, Add (3,4)=63 Succeeded, w=169\",\"Find(2)=2, Find(3)=3, Add (2,3)=86 Succeeded, w=255\",\"Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=255\"],\"Answer\":255}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,43],[0,5,52],[1,2,56],[1,5,53],[2,3,86],[2,4,96],[2,5,10],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=10,(0,2)=43,(0,5)=52,(1,5)=53,(1,2)=56,(3,4)=63,(2,3)=86,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=53\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=53 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=56 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=63 Succeeded, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=86 Succeeded, w=255\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=255\"],\"Answer\":255}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,61],[0,2,68],[0,3,20],[1,2,79],[1,3,88],[2,3,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,68],[0,3,20],[1,2,79],[1,3,88],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,68],[0,3,20],[1,2,79],[1,3,88],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,68],[0,3,20],[1,2,79],[1,3,88],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=20, w=20\",\"Add (0,1)=61, w=81\",\"Add (0,2)=68, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,68],[0,3,20],[1,2,79],[1,3,88],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=20 Succeeded, w=20\",\"Add (0,1)=61 Succeeded, w=81\",\"Add (0,2)=68 Succeeded, w=149\",\"Add (2,3)=70 Failed, w=149\",\"Add (1,2)=79 Failed, w=149\",\"Add (1,3)=88 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,68],[0,3,20],[1,2,79],[1,3,88],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=20,(0,1)=61,(0,2)=68,(2,3)=70,(1,2)=79,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=20\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=81\",\"Find(0)=0, Find(2)=2, Add (0,2)=68 Succeeded, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=149\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=149\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,68],[0,3,20],[1,2,79],[1,3,88],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=20,(0,1)=61,(0,2)=68,(2,3)=70,(1,2)=79,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=68 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,3],[0,3,15],[0,4,38],[0,5,52],[0,6,71],[1,2,8],[1,4,84],[1,5,28],[1,6,27],[2,3,40],[2,4,75],[2,5,20],[2,6,24],[3,4,94],[3,5,39],[3,6,57],[4,6,54],[5,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,15],[0,4,38],[0,5,52],[0,6,71],[1,2,8],[1,4,84],[1,5,28],[1,6,27],[2,3,40],[2,4,75],[2,5,20],[2,6,24],[3,4,94],[3,5,39],[3,6,57],[4,6,54],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,15],[0,4,38],[0,5,52],[0,6,71],[1,2,8],[1,4,84],[1,5,28],[1,6,27],[2,3,40],[2,4,75],[2,5,20],[2,6,24],[3,4,94],[3,5,39],[3,6,57],[4,6,54],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (0,4)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,15],[0,4,38],[0,5,52],[0,6,71],[1,2,8],[1,4,84],[1,5,28],[1,6,27],[2,3,40],[2,4,75],[2,5,20],[2,6,24],[3,4,94],[3,5,39],[3,6,57],[4,6,54],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,2)=8, w=11\",\"Add (0,3)=15, w=26\",\"Add (2,5)=20, w=46\",\"Add (2,6)=24, w=70\",\"Add (0,4)=38, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,15],[0,4,38],[0,5,52],[0,6,71],[1,2,8],[1,4,84],[1,5,28],[1,6,27],[2,3,40],[2,4,75],[2,5,20],[2,6,24],[3,4,94],[3,5,39],[3,6,57],[4,6,54],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,2)=8 Succeeded, w=11\",\"Add (0,3)=15 Succeeded, w=26\",\"Add (2,5)=20 Succeeded, w=46\",\"Add (2,6)=24 Succeeded, w=70\",\"Add (1,6)=27 Failed, w=70\",\"Add (1,5)=28 Failed, w=70\",\"Add (0,4)=38 Succeeded, w=108\",\"Add (3,5)=39 Failed, w=108\",\"Add (2,3)=40 Failed, w=108\",\"Add (0,5)=52 Failed, w=108\",\"Add (4,6)=54 Failed, w=108\",\"Add (3,6)=57 Failed, w=108\",\"Add (0,6)=71 Failed, w=108\",\"Add (2,4)=75 Failed, w=108\",\"Add (5,6)=82 Failed, w=108\",\"Add (1,4)=84 Failed, w=108\",\"Add (3,4)=94 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,15],[0,4,38],[0,5,52],[0,6,71],[1,2,8],[1,4,84],[1,5,28],[1,6,27],[2,3,40],[2,4,75],[2,5,20],[2,6,24],[3,4,94],[3,5,39],[3,6,57],[4,6,54],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=8,(0,3)=15,(2,5)=20,(2,6)=24,(1,6)=27,(1,5)=28,(0,4)=38,(3,5)=39,(2,3)=40,(0,5)=52,(4,6)=54,(3,6)=57,(0,6)=71,(2,4)=75,(5,6)=82,(1,4)=84,(3,4)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=0, Add (1,2)=8 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=26\",\"Find(2)=0, Find(5)=5, Add (2,5)=20 Succeeded, w=46\",\"Find(2)=0, Find(6)=6, Add (2,6)=24 Succeeded, w=70\",\"Find(1)=0, Find(6)=0, Add (1,6)=27 Failed, w=70\",\"Find(1)=0, Find(5)=0, Add (1,5)=28 Failed, w=70\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=108\",\"Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=108\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=108\",\"Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=108\",\"Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=108\",\"Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=108\",\"Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=108\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=108\",\"Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=108\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=108\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,3],[0,3,15],[0,4,38],[0,5,52],[0,6,71],[1,2,8],[1,4,84],[1,5,28],[1,6,27],[2,3,40],[2,4,75],[2,5,20],[2,6,24],[3,4,94],[3,5,39],[3,6,57],[4,6,54],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=8,(0,3)=15,(2,5)=20,(2,6)=24,(1,6)=27,(1,5)=28,(0,4)=38,(3,5)=39,(2,3)=40,(0,5)=52,(4,6)=54,(3,6)=57,(0,6)=71,(2,4)=75,(5,6)=82,(1,4)=84,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=5, Add (2,5)=20 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=24 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=27 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=28 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,93],[0,3,48],[0,4,47],[1,2,64],[1,3,50],[2,3,67],[2,4,11],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,48],[0,4,47],[1,2,64],[1,3,50],[2,3,67],[2,4,11],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,48],[0,4,47],[1,2,64],[1,3,50],[2,3,67],[2,4,11],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,48],[0,4,47],[1,2,64],[1,3,50],[2,3,67],[2,4,11],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (0,4)=47, w=58\",\"Add (0,3)=48, w=106\",\"Add (1,3)=50, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,48],[0,4,47],[1,2,64],[1,3,50],[2,3,67],[2,4,11],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (0,4)=47 Succeeded, w=58\",\"Add (0,3)=48 Succeeded, w=106\",\"Add (1,3)=50 Succeeded, w=156\",\"Add (0,1)=57 Failed, w=156\",\"Add (1,2)=64 Failed, w=156\",\"Add (2,3)=67 Failed, w=156\",\"Add (0,2)=93 Failed, w=156\",\"Add (3,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,48],[0,4,47],[1,2,64],[1,3,50],[2,3,67],[2,4,11],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(0,4)=47,(0,3)=48,(1,3)=50,(0,1)=57,(1,2)=64,(2,3)=67,(0,2)=93,(3,4)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=2, Add (0,4)=47 Succeeded, w=58\",\"Find(0)=2, Find(3)=3, Add (0,3)=48 Succeeded, w=106\",\"Find(1)=1, Find(3)=2, Add (1,3)=50 Succeeded, w=156\",\"Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=156\",\"Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=156\",\"Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=156\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=156\",\"Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,48],[0,4,47],[1,2,64],[1,3,50],[2,3,67],[2,4,11],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(0,4)=47,(0,3)=48,(1,3)=50,(0,1)=57,(1,2)=64,(2,3)=67,(0,2)=93,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=47 Succeeded, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=48 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=50 Succeeded, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,57],[0,2,63],[0,3,37],[0,4,89],[0,5,65],[0,6,42],[1,2,2],[1,3,44],[1,4,42],[1,6,41],[2,5,79],[2,6,70],[3,5,97],[4,5,73],[4,6,88],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,63],[0,3,37],[0,4,89],[0,5,65],[0,6,42],[1,2,2],[1,3,44],[1,4,42],[1,6,41],[2,5,79],[2,6,70],[3,5,97],[4,5,73],[4,6,88],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"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],[0,2,63],[0,3,37],[0,4,89],[0,5,65],[0,6,42],[1,2,2],[1,3,44],[1,4,42],[1,6,41],[2,5,79],[2,6,70],[3,5,97],[4,5,73],[4,6,88],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (1,4)\"],\"Answer\":183}",
"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],[0,2,63],[0,3,37],[0,4,89],[0,5,65],[0,6,42],[1,2,2],[1,3,44],[1,4,42],[1,6,41],[2,5,79],[2,6,70],[3,5,97],[4,5,73],[4,6,88],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (5,6)=19, w=21\",\"Add (0,3)=37, w=58\",\"Add (1,6)=41, w=99\",\"Add (0,6)=42, w=141\",\"Add (1,4)=42, w=183\"],\"Answer\":183}",
"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],[0,2,63],[0,3,37],[0,4,89],[0,5,65],[0,6,42],[1,2,2],[1,3,44],[1,4,42],[1,6,41],[2,5,79],[2,6,70],[3,5,97],[4,5,73],[4,6,88],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (5,6)=19 Succeeded, w=21\",\"Add (0,3)=37 Succeeded, w=58\",\"Add (1,6)=41 Succeeded, w=99\",\"Add (0,6)=42 Succeeded, w=141\",\"Add (1,4)=42 Succeeded, w=183\",\"Add (1,3)=44 Failed, w=183\",\"Add (0,1)=57 Failed, w=183\",\"Add (0,2)=63 Failed, w=183\",\"Add (0,5)=65 Failed, w=183\",\"Add (2,6)=70 Failed, w=183\",\"Add (4,5)=73 Failed, w=183\",\"Add (2,5)=79 Failed, w=183\",\"Add (4,6)=88 Failed, w=183\",\"Add (0,4)=89 Failed, w=183\",\"Add (3,5)=97 Failed, w=183\"],\"Answer\":183}",
"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],[0,2,63],[0,3,37],[0,4,89],[0,5,65],[0,6,42],[1,2,2],[1,3,44],[1,4,42],[1,6,41],[2,5,79],[2,6,70],[3,5,97],[4,5,73],[4,6,88],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(5,6)=19,(0,3)=37,(1,6)=41,(0,6)=42,(1,4)=42,(1,3)=44,(0,1)=57,(0,2)=63,(0,5)=65,(2,6)=70,(4,5)=73,(2,5)=79,(4,6)=88,(0,4)=89,(3,5)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=58\",\"Find(1)=1, Find(6)=5, Add (1,6)=41 Succeeded, w=99\",\"Find(0)=0, Find(6)=1, Add (0,6)=42 Succeeded, w=141\",\"Find(1)=1, Find(4)=4, Add (1,4)=42 Succeeded, w=183\",\"Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=183\",\"Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=183\",\"Find(0)=1, Find(2)=1, Add (0,2)=63 Failed, w=183\",\"Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=183\",\"Find(2)=1, Find(6)=1, Add (2,6)=70 Failed, w=183\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=183\",\"Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=183\",\"Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=183\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=183\",\"Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=183\"],\"Answer\":183}",
"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],[0,2,63],[0,3,37],[0,4,89],[0,5,65],[0,6,42],[1,2,2],[1,3,44],[1,4,42],[1,6,41],[2,5,79],[2,6,70],[3,5,97],[4,5,73],[4,6,88],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(5,6)=19,(0,3)=37,(1,6)=41,(0,6)=42,(1,4)=42,(1,3)=44,(0,1)=57,(0,2)=63,(0,5)=65,(2,6)=70,(4,5)=73,(2,5)=79,(4,6)=88,(0,4)=89,(3,5)=97]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=41 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=42 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=42 Succeeded, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=63 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=70 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=183\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,70],[0,2,33],[0,4,16],[1,4,37],[2,3,69],[3,4,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,33],[0,4,16],[1,4,37],[2,3,69],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,33],[0,4,16],[1,4,37],[2,3,69],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,33],[0,4,16],[1,4,37],[2,3,69],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (0,4)=16, w=24\",\"Add (0,2)=33, w=57\",\"Add (1,4)=37, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,33],[0,4,16],[1,4,37],[2,3,69],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (0,4)=16 Succeeded, w=24\",\"Add (0,2)=33 Succeeded, w=57\",\"Add (1,4)=37 Succeeded, w=94\",\"Add (2,3)=69 Failed, w=94\",\"Add (0,1)=70 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,33],[0,4,16],[1,4,37],[2,3,69],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(0,4)=16,(0,2)=33,(1,4)=37,(2,3)=69,(0,1)=70]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=3, Add (0,4)=16 Succeeded, w=24\",\"Find(0)=3, Find(2)=2, Add (0,2)=33 Succeeded, w=57\",\"Find(1)=1, Find(4)=3, Add (1,4)=37 Succeeded, w=94\",\"Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=94\",\"Find(0)=3, Find(1)=3, Add (0,1)=70 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,33],[0,4,16],[1,4,37],[2,3,69],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(0,4)=16,(0,2)=33,(1,4)=37,(2,3)=69,(0,1)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=16 Succeeded, w=24\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=2, Add (0,2)=33 Succeeded, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=37 Succeeded, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=70 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,2,19],[0,3,23],[1,2,33],[1,3,93],[2,3,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,19],[0,3,23],[1,2,33],[1,3,93],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,19],[0,3,23],[1,2,33],[1,3,93],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,19],[0,3,23],[1,2,33],[1,3,93],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (0,2)=19, w=30\",\"Add (0,3)=23, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,19],[0,3,23],[1,2,33],[1,3,93],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (0,2)=19 Succeeded, w=30\",\"Add (0,3)=23 Succeeded, w=53\",\"Add (1,2)=33 Failed, w=53\",\"Add (2,3)=34 Failed, w=53\",\"Add (1,3)=93 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,19],[0,3,23],[1,2,33],[1,3,93],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,2)=19,(0,3)=23,(1,2)=33,(2,3)=34,(1,3)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=53\",\"Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=53\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,19],[0,3,23],[1,2,33],[1,3,93],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,2)=19,(0,3)=23,(1,2)=33,(2,3)=34,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,64],[0,3,47],[0,4,86],[0,5,31],[0,6,100],[1,2,86],[1,6,51],[1,7,15],[2,3,64],[2,6,79],[2,7,5],[3,4,40],[3,6,28],[4,7,32],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,47],[0,4,86],[0,5,31],[0,6,100],[1,2,86],[1,6,51],[1,7,15],[2,3,64],[2,6,79],[2,7,5],[3,4,40],[3,6,28],[4,7,32],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,47],[0,4,86],[0,5,31],[0,6,100],[1,2,86],[1,6,51],[1,7,15],[2,3,64],[2,6,79],[2,7,5],[3,4,40],[3,6,28],[4,7,32],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (1,7)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (4,7)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,47],[0,4,86],[0,5,31],[0,6,100],[1,2,86],[1,6,51],[1,7,15],[2,3,64],[2,6,79],[2,7,5],[3,4,40],[3,6,28],[4,7,32],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=5, w=5\",\"Add (1,7)=15, w=20\",\"Add (3,6)=28, w=48\",\"Add (0,5)=31, w=79\",\"Add (4,7)=32, w=111\",\"Add (3,4)=40, w=151\",\"Add (0,3)=47, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,47],[0,4,86],[0,5,31],[0,6,100],[1,2,86],[1,6,51],[1,7,15],[2,3,64],[2,6,79],[2,7,5],[3,4,40],[3,6,28],[4,7,32],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=5 Succeeded, w=5\",\"Add (1,7)=15 Succeeded, w=20\",\"Add (3,6)=28 Succeeded, w=48\",\"Add (0,5)=31 Succeeded, w=79\",\"Add (4,7)=32 Succeeded, w=111\",\"Add (3,4)=40 Succeeded, w=151\",\"Add (0,3)=47 Succeeded, w=198\",\"Add (1,6)=51 Failed, w=198\",\"Add (6,7)=53 Failed, w=198\",\"Add (0,1)=64 Failed, w=198\",\"Add (2,3)=64 Failed, w=198\",\"Add (2,6)=79 Failed, w=198\",\"Add (0,4)=86 Failed, w=198\",\"Add (1,2)=86 Failed, w=198\",\"Add (0,6)=100 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,47],[0,4,86],[0,5,31],[0,6,100],[1,2,86],[1,6,51],[1,7,15],[2,3,64],[2,6,79],[2,7,5],[3,4,40],[3,6,28],[4,7,32],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=5,(1,7)=15,(3,6)=28,(0,5)=31,(4,7)=32,(3,4)=40,(0,3)=47,(1,6)=51,(6,7)=53,(0,1)=64,(2,3)=64,(2,6)=79,(0,4)=86,(1,2)=86,(0,6)=100]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=5 Succeeded, w=5\",\"Find(1)=1, Find(7)=2, Add (1,7)=15 Succeeded, w=20\",\"Find(3)=3, Find(6)=6, Add (3,6)=28 Succeeded, w=48\",\"Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=79\",\"Find(4)=4, Find(7)=2, Add (4,7)=32 Succeeded, w=111\",\"Find(3)=3, Find(4)=2, Add (3,4)=40 Succeeded, w=151\",\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=198\",\"Find(1)=3, Find(6)=3, Add (1,6)=51 Failed, w=198\",\"Find(6)=3, Find(7)=3, Add (6,7)=53 Failed, w=198\",\"Find(0)=3, Find(1)=3, Add (0,1)=64 Failed, w=198\",\"Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=198\",\"Find(2)=3, Find(6)=3, Add (2,6)=79 Failed, w=198\",\"Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=198\",\"Find(1)=3, Find(2)=3, Add (1,2)=86 Failed, w=198\",\"Find(0)=3, Find(6)=3, Add (0,6)=100 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,3,47],[0,4,86],[0,5,31],[0,6,100],[1,2,86],[1,6,51],[1,7,15],[2,3,64],[2,6,79],[2,7,5],[3,4,40],[3,6,28],[4,7,32],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=5,(1,7)=15,(3,6)=28,(0,5)=31,(4,7)=32,(3,4)=40,(0,3)=47,(1,6)=51,(6,7)=53,(0,1)=64,(2,3)=64,(2,6)=79,(0,4)=86,(1,2)=86,(0,6)=100]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=15 Succeeded, w=20\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 2}, Find(3)=3, Find(6)=6, Add (3,6)=28 Succeeded, w=48\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3, 7: 2}, Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=79\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 3, 7: 2}, Find(4)=4, Find(7)=2, Add (4,7)=32 Succeeded, w=111\",\"Parent: {0: 0, 1: 2, 2: 3, 3: 3, 4: 2, 5: 0, 6: 3, 7: 2}, Find(3)=3, Find(4)=2, Add (3,4)=40 Succeeded, w=151\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 2, 5: 0, 6: 3, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 0, 6: 3, 7: 2}, Find(1)=3, Find(6)=3, Add (1,6)=51 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 0, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=53 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 0, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=64 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 0, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 0, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=79 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=86 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=100 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,20],[0,4,95],[0,5,85],[1,2,67],[1,3,44],[2,4,40],[2,5,79],[3,4,58],[3,5,20],[3,6,99],[4,5,50],[4,6,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,20],[0,4,95],[0,5,85],[1,2,67],[1,3,44],[2,4,40],[2,5,79],[3,4,58],[3,5,20],[3,6,99],[4,5,50],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,20],[0,4,95],[0,5,85],[1,2,67],[1,3,44],[2,4,40],[2,5,79],[3,4,58],[3,5,20],[3,6,99],[4,5,50],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (4,6)\"],\"Answer\":268}",
"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],[0,2,20],[0,4,95],[0,5,85],[1,2,67],[1,3,44],[2,4,40],[2,5,79],[3,4,58],[3,5,20],[3,6,99],[4,5,50],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=20, w=20\",\"Add (3,5)=20, w=40\",\"Add (2,4)=40, w=80\",\"Add (1,3)=44, w=124\",\"Add (4,5)=50, w=174\",\"Add (4,6)=94, w=268\"],\"Answer\":268}",
"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],[0,2,20],[0,4,95],[0,5,85],[1,2,67],[1,3,44],[2,4,40],[2,5,79],[3,4,58],[3,5,20],[3,6,99],[4,5,50],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=20 Succeeded, w=20\",\"Add (3,5)=20 Succeeded, w=40\",\"Add (2,4)=40 Succeeded, w=80\",\"Add (1,3)=44 Succeeded, w=124\",\"Add (4,5)=50 Succeeded, w=174\",\"Add (3,4)=58 Failed, w=174\",\"Add (1,2)=67 Failed, w=174\",\"Add (2,5)=79 Failed, w=174\",\"Add (0,1)=84 Failed, w=174\",\"Add (0,5)=85 Failed, w=174\",\"Add (4,6)=94 Succeeded, w=268\",\"Add (0,4)=95 Failed, w=268\",\"Add (3,6)=99 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,20],[0,4,95],[0,5,85],[1,2,67],[1,3,44],[2,4,40],[2,5,79],[3,4,58],[3,5,20],[3,6,99],[4,5,50],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=20,(3,5)=20,(2,4)=40,(1,3)=44,(4,5)=50,(3,4)=58,(1,2)=67,(2,5)=79,(0,1)=84,(0,5)=85,(4,6)=94,(0,4)=95,(3,6)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=40\",\"Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=80\",\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=124\",\"Find(4)=0, Find(5)=3, Add (4,5)=50 Succeeded, w=174\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=174\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=174\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=174\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=174\",\"Find(4)=0, Find(6)=6, Add (4,6)=94 Succeeded, w=268\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=268\",\"Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,20],[0,4,95],[0,5,85],[1,2,67],[1,3,44],[2,4,40],[2,5,79],[3,4,58],[3,5,20],[3,6,99],[4,5,50],[4,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=20,(3,5)=20,(2,4)=40,(1,3)=44,(4,5)=50,(3,4)=58,(1,2)=67,(2,5)=79,(0,1)=84,(0,5)=85,(4,6)=94,(0,4)=95,(3,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 6}, Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=80\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=124\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6}, Find(4)=0, Find(5)=3, Add (4,5)=50 Succeeded, w=174\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=94 Succeeded, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,53],[0,2,24],[0,3,21],[0,4,80],[0,5,62],[0,6,14],[0,7,95],[1,2,68],[1,3,84],[1,4,57],[1,5,4],[1,6,89],[1,7,86],[2,3,27],[2,4,14],[2,5,80],[2,6,14],[2,7,79],[3,4,77],[3,5,2],[3,6,80],[3,7,60],[4,5,48],[4,6,49],[4,7,19],[5,6,88],[5,7,74],[6,7,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,24],[0,3,21],[0,4,80],[0,5,62],[0,6,14],[0,7,95],[1,2,68],[1,3,84],[1,4,57],[1,5,4],[1,6,89],[1,7,86],[2,3,27],[2,4,14],[2,5,80],[2,6,14],[2,7,79],[3,4,77],[3,5,2],[3,6,80],[3,7,60],[4,5,48],[4,6,49],[4,7,19],[5,6,88],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,24],[0,3,21],[0,4,80],[0,5,62],[0,6,14],[0,7,95],[1,2,68],[1,3,84],[1,4,57],[1,5,4],[1,6,89],[1,7,86],[2,3,27],[2,4,14],[2,5,80],[2,6,14],[2,7,79],[3,4,77],[3,5,2],[3,6,80],[3,7,60],[4,5,48],[4,6,49],[4,7,19],[5,6,88],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (4,7)\",\"Add (0,3)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,24],[0,3,21],[0,4,80],[0,5,62],[0,6,14],[0,7,95],[1,2,68],[1,3,84],[1,4,57],[1,5,4],[1,6,89],[1,7,86],[2,3,27],[2,4,14],[2,5,80],[2,6,14],[2,7,79],[3,4,77],[3,5,2],[3,6,80],[3,7,60],[4,5,48],[4,6,49],[4,7,19],[5,6,88],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (1,5)=4, w=6\",\"Add (0,6)=14, w=20\",\"Add (2,4)=14, w=34\",\"Add (2,6)=14, w=48\",\"Add (4,7)=19, w=67\",\"Add (0,3)=21, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,24],[0,3,21],[0,4,80],[0,5,62],[0,6,14],[0,7,95],[1,2,68],[1,3,84],[1,4,57],[1,5,4],[1,6,89],[1,7,86],[2,3,27],[2,4,14],[2,5,80],[2,6,14],[2,7,79],[3,4,77],[3,5,2],[3,6,80],[3,7,60],[4,5,48],[4,6,49],[4,7,19],[5,6,88],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (1,5)=4 Succeeded, w=6\",\"Add (0,6)=14 Succeeded, w=20\",\"Add (2,4)=14 Succeeded, w=34\",\"Add (2,6)=14 Succeeded, w=48\",\"Add (4,7)=19 Succeeded, w=67\",\"Add (0,3)=21 Succeeded, w=88\",\"Add (6,7)=23 Failed, w=88\",\"Add (0,2)=24 Failed, w=88\",\"Add (2,3)=27 Failed, w=88\",\"Add (4,5)=48 Failed, w=88\",\"Add (4,6)=49 Failed, w=88\",\"Add (0,1)=53 Failed, w=88\",\"Add (1,4)=57 Failed, w=88\",\"Add (3,7)=60 Failed, w=88\",\"Add (0,5)=62 Failed, w=88\",\"Add (1,2)=68 Failed, w=88\",\"Add (5,7)=74 Failed, w=88\",\"Add (3,4)=77 Failed, w=88\",\"Add (2,7)=79 Failed, w=88\",\"Add (0,4)=80 Failed, w=88\",\"Add (2,5)=80 Failed, w=88\",\"Add (3,6)=80 Failed, w=88\",\"Add (1,3)=84 Failed, w=88\",\"Add (1,7)=86 Failed, w=88\",\"Add (5,6)=88 Failed, w=88\",\"Add (1,6)=89 Failed, w=88\",\"Add (0,7)=95 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,24],[0,3,21],[0,4,80],[0,5,62],[0,6,14],[0,7,95],[1,2,68],[1,3,84],[1,4,57],[1,5,4],[1,6,89],[1,7,86],[2,3,27],[2,4,14],[2,5,80],[2,6,14],[2,7,79],[3,4,77],[3,5,2],[3,6,80],[3,7,60],[4,5,48],[4,6,49],[4,7,19],[5,6,88],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(1,5)=4,(0,6)=14,(2,4)=14,(2,6)=14,(4,7)=19,(0,3)=21,(6,7)=23,(0,2)=24,(2,3)=27,(4,5)=48,(4,6)=49,(0,1)=53,(1,4)=57,(3,7)=60,(0,5)=62,(1,2)=68,(5,7)=74,(3,4)=77,(2,7)=79,(0,4)=80,(2,5)=80,(3,6)=80,(1,3)=84,(1,7)=86,(5,6)=88,(1,6)=89,(0,7)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=3, Add (1,5)=4 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=20\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=34\",\"Find(2)=2, Find(6)=0, Add (2,6)=14 Succeeded, w=48\",\"Find(4)=2, Find(7)=7, Add (4,7)=19 Succeeded, w=67\",\"Find(0)=2, Find(3)=3, Add (0,3)=21 Succeeded, w=88\",\"Find(6)=2, Find(7)=2, Add (6,7)=23 Failed, w=88\",\"Find(0)=2, Find(2)=2, Add (0,2)=24 Failed, w=88\",\"Find(2)=2, Find(3)=2, Add (2,3)=27 Failed, w=88\",\"Find(4)=2, Find(5)=2, Add (4,5)=48 Failed, w=88\",\"Find(4)=2, Find(6)=2, Add (4,6)=49 Failed, w=88\",\"Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=88\",\"Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=88\",\"Find(3)=2, Find(7)=2, Add (3,7)=60 Failed, w=88\",\"Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=88\",\"Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=88\",\"Find(5)=2, Find(7)=2, Add (5,7)=74 Failed, w=88\",\"Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=88\",\"Find(2)=2, Find(7)=2, Add (2,7)=79 Failed, w=88\",\"Find(0)=2, Find(4)=2, Add (0,4)=80 Failed, w=88\",\"Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=88\",\"Find(3)=2, Find(6)=2, Add (3,6)=80 Failed, w=88\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=88\",\"Find(1)=2, Find(7)=2, Add (1,7)=86 Failed, w=88\",\"Find(5)=2, Find(6)=2, Add (5,6)=88 Failed, w=88\",\"Find(1)=2, Find(6)=2, Add (1,6)=89 Failed, w=88\",\"Find(0)=2, Find(7)=2, Add (0,7)=95 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,24],[0,3,21],[0,4,80],[0,5,62],[0,6,14],[0,7,95],[1,2,68],[1,3,84],[1,4,57],[1,5,4],[1,6,89],[1,7,86],[2,3,27],[2,4,14],[2,5,80],[2,6,14],[2,7,79],[3,4,77],[3,5,2],[3,6,80],[3,7,60],[4,5,48],[4,6,49],[4,7,19],[5,6,88],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(1,5)=4,(0,6)=14,(2,4)=14,(2,6)=14,(4,7)=19,(0,3)=21,(6,7)=23,(0,2)=24,(2,3)=27,(4,5)=48,(4,6)=49,(0,1)=53,(1,4)=57,(3,7)=60,(0,5)=62,(1,2)=68,(5,7)=74,(3,4)=77,(2,7)=79,(0,4)=80,(2,5)=80,(3,6)=80,(1,3)=84,(1,7)=86,(5,6)=88,(1,6)=89,(0,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(1)=1, Find(5)=3, Add (1,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=20\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 0, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=34\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 0, 7: 7}, Find(2)=2, Find(6)=0, Add (2,6)=14 Succeeded, w=48\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 0, 7: 2}, Find(4)=2, Find(7)=7, Add (4,7)=19 Succeeded, w=67\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 3, 6: 0, 7: 2}, Find(0)=2, Find(3)=3, Add (0,3)=21 Succeeded, w=88\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=23 Failed, w=88\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=24 Failed, w=88\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=27 Failed, w=88\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=48 Failed, w=88\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=49 Failed, w=88\",\"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)=53 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=60 Failed, w=88\",\"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)=62 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=88\",\"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)=74 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=88\",\"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)=79 Failed, w=88\",\"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)=80 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=80 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=86 Failed, w=88\",\"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)=88 Failed, w=88\",\"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)=89 Failed, w=88\",\"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)=95 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=60, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=60 Succeeded, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=60]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=60 Succeeded, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=60]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=60 Succeeded, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,39],[0,2,79],[0,3,80],[0,4,8],[0,5,56],[0,6,64],[1,2,99],[1,3,12],[1,4,72],[1,5,3],[1,6,25],[2,3,32],[2,5,59],[3,4,45],[3,5,55],[3,6,34],[4,5,46],[4,6,24],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,79],[0,3,80],[0,4,8],[0,5,56],[0,6,64],[1,2,99],[1,3,12],[1,4,72],[1,5,3],[1,6,25],[2,3,32],[2,5,59],[3,4,45],[3,5,55],[3,6,34],[4,5,46],[4,6,24],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,79],[0,3,80],[0,4,8],[0,5,56],[0,6,64],[1,2,99],[1,3,12],[1,4,72],[1,5,3],[1,6,25],[2,3,32],[2,5,59],[3,4,45],[3,5,55],[3,6,34],[4,5,46],[4,6,24],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (2,3)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,79],[0,3,80],[0,4,8],[0,5,56],[0,6,64],[1,2,99],[1,3,12],[1,4,72],[1,5,3],[1,6,25],[2,3,32],[2,5,59],[3,4,45],[3,5,55],[3,6,34],[4,5,46],[4,6,24],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (0,4)=8, w=11\",\"Add (1,3)=12, w=23\",\"Add (4,6)=24, w=47\",\"Add (1,6)=25, w=72\",\"Add (2,3)=32, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,79],[0,3,80],[0,4,8],[0,5,56],[0,6,64],[1,2,99],[1,3,12],[1,4,72],[1,5,3],[1,6,25],[2,3,32],[2,5,59],[3,4,45],[3,5,55],[3,6,34],[4,5,46],[4,6,24],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (0,4)=8 Succeeded, w=11\",\"Add (1,3)=12 Succeeded, w=23\",\"Add (4,6)=24 Succeeded, w=47\",\"Add (1,6)=25 Succeeded, w=72\",\"Add (2,3)=32 Succeeded, w=104\",\"Add (3,6)=34 Failed, w=104\",\"Add (0,1)=39 Failed, w=104\",\"Add (5,6)=41 Failed, w=104\",\"Add (3,4)=45 Failed, w=104\",\"Add (4,5)=46 Failed, w=104\",\"Add (3,5)=55 Failed, w=104\",\"Add (0,5)=56 Failed, w=104\",\"Add (2,5)=59 Failed, w=104\",\"Add (0,6)=64 Failed, w=104\",\"Add (1,4)=72 Failed, w=104\",\"Add (0,2)=79 Failed, w=104\",\"Add (0,3)=80 Failed, w=104\",\"Add (1,2)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,79],[0,3,80],[0,4,8],[0,5,56],[0,6,64],[1,2,99],[1,3,12],[1,4,72],[1,5,3],[1,6,25],[2,3,32],[2,5,59],[3,4,45],[3,5,55],[3,6,34],[4,5,46],[4,6,24],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,4)=8,(1,3)=12,(4,6)=24,(1,6)=25,(2,3)=32,(3,6)=34,(0,1)=39,(5,6)=41,(3,4)=45,(4,5)=46,(3,5)=55,(0,5)=56,(2,5)=59,(0,6)=64,(1,4)=72,(0,2)=79,(0,3)=80,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=23\",\"Find(4)=0, Find(6)=6, Add (4,6)=24 Succeeded, w=47\",\"Find(1)=1, Find(6)=0, Add (1,6)=25 Succeeded, w=72\",\"Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=104\",\"Find(3)=1, Find(6)=1, Add (3,6)=34 Failed, w=104\",\"Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=104\",\"Find(5)=1, Find(6)=1, Add (5,6)=41 Failed, w=104\",\"Find(3)=1, Find(4)=1, Add (3,4)=45 Failed, w=104\",\"Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=104\",\"Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=104\",\"Find(0)=1, Find(5)=1, Add (0,5)=56 Failed, w=104\",\"Find(2)=1, Find(5)=1, Add (2,5)=59 Failed, w=104\",\"Find(0)=1, Find(6)=1, Add (0,6)=64 Failed, w=104\",\"Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=104\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=104\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=104\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,79],[0,3,80],[0,4,8],[0,5,56],[0,6,64],[1,2,99],[1,3,12],[1,4,72],[1,5,3],[1,6,25],[2,3,32],[2,5,59],[3,4,45],[3,5,55],[3,6,34],[4,5,46],[4,6,24],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,4)=8,(1,3)=12,(4,6)=24,(1,6)=25,(2,3)=32,(3,6)=34,(0,1)=39,(5,6)=41,(3,4)=45,(4,5)=46,(3,5)=55,(0,5)=56,(2,5)=59,(0,6)=64,(1,4)=72,(0,2)=79,(0,3)=80,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=24 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=25 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0}, Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=34 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=41 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=45 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=56 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=59 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=64 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,96],[0,3,45],[0,4,55],[1,2,20],[1,3,56],[1,4,20],[2,3,53],[2,4,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,96],[0,3,45],[0,4,55],[1,2,20],[1,3,56],[1,4,20],[2,3,53],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,96],[0,3,45],[0,4,55],[1,2,20],[1,3,56],[1,4,20],[2,3,53],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,96],[0,3,45],[0,4,55],[1,2,20],[1,3,56],[1,4,20],[2,3,53],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=20, w=20\",\"Add (1,4)=20, w=40\",\"Add (0,1)=37, w=77\",\"Add (0,3)=45, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,96],[0,3,45],[0,4,55],[1,2,20],[1,3,56],[1,4,20],[2,3,53],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=20 Succeeded, w=20\",\"Add (1,4)=20 Succeeded, w=40\",\"Add (2,4)=28 Failed, w=40\",\"Add (0,1)=37 Succeeded, w=77\",\"Add (0,3)=45 Succeeded, w=122\",\"Add (2,3)=53 Failed, w=122\",\"Add (0,4)=55 Failed, w=122\",\"Add (1,3)=56 Failed, w=122\",\"Add (0,2)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,96],[0,3,45],[0,4,55],[1,2,20],[1,3,56],[1,4,20],[2,3,53],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=20,(1,4)=20,(2,4)=28,(0,1)=37,(0,3)=45,(2,3)=53,(0,4)=55,(1,3)=56,(0,2)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=20\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=40\",\"Find(2)=1, Find(4)=1, Add (2,4)=28 Failed, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=77\",\"Find(0)=1, Find(3)=3, Add (0,3)=45 Succeeded, w=122\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=122\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=122\",\"Find(1)=1, Find(3)=1, Add (1,3)=56 Failed, w=122\",\"Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,96],[0,3,45],[0,4,55],[1,2,20],[1,3,56],[1,4,20],[2,3,53],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=20,(1,4)=20,(2,4)=28,(0,1)=37,(0,3)=45,(2,3)=53,(0,4)=55,(1,3)=56,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=28 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=45 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=56 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,2],[0,3,85],[0,4,47],[0,5,78],[0,6,88],[1,2,93],[1,3,39],[1,4,37],[1,5,61],[1,6,68],[2,3,35],[2,4,64],[2,5,21],[2,6,54],[3,4,51],[3,5,92],[3,6,74],[3,7,75],[4,5,63],[4,7,62],[5,6,65],[5,7,58],[6,7,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,47],[0,5,78],[0,6,88],[1,2,93],[1,3,39],[1,4,37],[1,5,61],[1,6,68],[2,3,35],[2,4,64],[2,5,21],[2,6,54],[3,4,51],[3,5,92],[3,6,74],[3,7,75],[4,5,63],[4,7,62],[5,6,65],[5,7,58],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,47],[0,5,78],[0,6,88],[1,2,93],[1,3,39],[1,4,37],[1,5,61],[1,6,68],[2,3,35],[2,4,64],[2,5,21],[2,6,54],[3,4,51],[3,5,92],[3,6,74],[3,7,75],[4,5,63],[4,7,62],[5,6,65],[5,7,58],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (6,7)\",\"Add (2,6)\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,47],[0,5,78],[0,6,88],[1,2,93],[1,3,39],[1,4,37],[1,5,61],[1,6,68],[2,3,35],[2,4,64],[2,5,21],[2,6,54],[3,4,51],[3,5,92],[3,6,74],[3,7,75],[4,5,63],[4,7,62],[5,6,65],[5,7,58],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (2,5)=21, w=23\",\"Add (2,3)=35, w=58\",\"Add (1,4)=37, w=95\",\"Add (1,3)=39, w=134\",\"Add (6,7)=46, w=180\",\"Add (2,6)=54, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,47],[0,5,78],[0,6,88],[1,2,93],[1,3,39],[1,4,37],[1,5,61],[1,6,68],[2,3,35],[2,4,64],[2,5,21],[2,6,54],[3,4,51],[3,5,92],[3,6,74],[3,7,75],[4,5,63],[4,7,62],[5,6,65],[5,7,58],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (2,5)=21 Succeeded, w=23\",\"Add (2,3)=35 Succeeded, w=58\",\"Add (1,4)=37 Succeeded, w=95\",\"Add (1,3)=39 Succeeded, w=134\",\"Add (6,7)=46 Succeeded, w=180\",\"Add (0,4)=47 Failed, w=180\",\"Add (3,4)=51 Failed, w=180\",\"Add (2,6)=54 Succeeded, w=234\",\"Add (5,7)=58 Failed, w=234\",\"Add (1,5)=61 Failed, w=234\",\"Add (4,7)=62 Failed, w=234\",\"Add (4,5)=63 Failed, w=234\",\"Add (2,4)=64 Failed, w=234\",\"Add (5,6)=65 Failed, w=234\",\"Add (1,6)=68 Failed, w=234\",\"Add (3,6)=74 Failed, w=234\",\"Add (3,7)=75 Failed, w=234\",\"Add (0,5)=78 Failed, w=234\",\"Add (0,3)=85 Failed, w=234\",\"Add (0,6)=88 Failed, w=234\",\"Add (3,5)=92 Failed, w=234\",\"Add (1,2)=93 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,47],[0,5,78],[0,6,88],[1,2,93],[1,3,39],[1,4,37],[1,5,61],[1,6,68],[2,3,35],[2,4,64],[2,5,21],[2,6,54],[3,4,51],[3,5,92],[3,6,74],[3,7,75],[4,5,63],[4,7,62],[5,6,65],[5,7,58],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,5)=21,(2,3)=35,(1,4)=37,(1,3)=39,(6,7)=46,(0,4)=47,(3,4)=51,(2,6)=54,(5,7)=58,(1,5)=61,(4,7)=62,(4,5)=63,(2,4)=64,(5,6)=65,(1,6)=68,(3,6)=74,(3,7)=75,(0,5)=78,(0,3)=85,(0,6)=88,(3,5)=92,(1,2)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=23\",\"Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=58\",\"Find(1)=0, Find(4)=4, Add (1,4)=37 Succeeded, w=95\",\"Find(1)=0, Find(3)=2, Add (1,3)=39 Succeeded, w=134\",\"Find(6)=6, Find(7)=7, Add (6,7)=46 Succeeded, w=180\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=180\",\"Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=180\",\"Find(2)=0, Find(6)=6, Add (2,6)=54 Succeeded, w=234\",\"Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=234\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=234\",\"Find(4)=0, Find(7)=0, Add (4,7)=62 Failed, w=234\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=234\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=234\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=234\",\"Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=234\",\"Find(3)=0, Find(6)=0, Add (3,6)=74 Failed, w=234\",\"Find(3)=0, Find(7)=0, Add (3,7)=75 Failed, w=234\",\"Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=234\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=234\",\"Find(0)=0, Find(6)=0, Add (0,6)=88 Failed, w=234\",\"Find(3)=0, Find(5)=0, Add (3,5)=92 Failed, w=234\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,47],[0,5,78],[0,6,88],[1,2,93],[1,3,39],[1,4,37],[1,5,61],[1,6,68],[2,3,35],[2,4,64],[2,5,21],[2,6,54],[3,4,51],[3,5,92],[3,6,74],[3,7,75],[4,5,63],[4,7,62],[5,6,65],[5,7,58],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,5)=21,(2,3)=35,(1,4)=37,(1,3)=39,(6,7)=46,(0,4)=47,(3,4)=51,(2,6)=54,(5,7)=58,(1,5)=61,(4,7)=62,(4,5)=63,(2,4)=64,(5,6)=65,(1,6)=68,(3,6)=74,(3,7)=75,(0,5)=78,(0,3)=85,(0,6)=88,(3,5)=92,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 7}, Find(1)=0, Find(4)=4, Add (1,4)=37 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 6, 7: 7}, Find(1)=0, Find(3)=2, Add (1,3)=39 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=46 Succeeded, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 6, 7: 6}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 6, 7: 6}, Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(2)=0, Find(6)=6, Add (2,6)=54 Succeeded, w=234\",\"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)=58 Failed, w=234\",\"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)=61 Failed, w=234\",\"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)=62 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=234\",\"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)=64 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=234\",\"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)=68 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=74 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=75 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=234\",\"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)=85 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=88 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=92 Failed, w=234\",\"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)=93 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,61],[0,3,78],[0,4,6],[1,2,66],[1,3,24],[1,4,52],[2,3,77],[2,4,63],[3,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,78],[0,4,6],[1,2,66],[1,3,24],[1,4,52],[2,3,77],[2,4,63],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,78],[0,4,6],[1,2,66],[1,3,24],[1,4,52],[2,3,77],[2,4,63],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,78],[0,4,6],[1,2,66],[1,3,24],[1,4,52],[2,3,77],[2,4,63],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (1,3)=24, w=30\",\"Add (0,1)=39, w=69\",\"Add (0,2)=61, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,78],[0,4,6],[1,2,66],[1,3,24],[1,4,52],[2,3,77],[2,4,63],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (1,3)=24 Succeeded, w=30\",\"Add (0,1)=39 Succeeded, w=69\",\"Add (3,4)=46 Failed, w=69\",\"Add (1,4)=52 Failed, w=69\",\"Add (0,2)=61 Succeeded, w=130\",\"Add (2,4)=63 Failed, w=130\",\"Add (1,2)=66 Failed, w=130\",\"Add (2,3)=77 Failed, w=130\",\"Add (0,3)=78 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,78],[0,4,6],[1,2,66],[1,3,24],[1,4,52],[2,3,77],[2,4,63],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(1,3)=24,(0,1)=39,(3,4)=46,(1,4)=52,(0,2)=61,(2,4)=63,(1,2)=66,(2,3)=77,(0,3)=78]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=69\",\"Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=69\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=69\",\"Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=130\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=130\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=130\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=130\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,61],[0,3,78],[0,4,6],[1,2,66],[1,3,24],[1,4,52],[2,3,77],[2,4,63],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(1,3)=24,(0,1)=39,(3,4)=46,(1,4)=52,(0,2)=61,(2,4)=63,(1,2)=66,(2,3)=77,(0,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,96],[0,3,73],[0,4,27],[0,6,20],[1,6,42],[2,3,6],[2,4,45],[2,5,36],[2,6,41],[3,4,11],[3,6,24],[4,6,38],[5,6,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,3,73],[0,4,27],[0,6,20],[1,6,42],[2,3,6],[2,4,45],[2,5,36],[2,6,41],[3,4,11],[3,6,24],[4,6,38],[5,6,60]]}",
"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],\"edges\":[[0,1,96],[0,3,73],[0,4,27],[0,6,20],[1,6,42],[2,3,6],[2,4,45],[2,5,36],[2,6,41],[3,4,11],[3,6,24],[4,6,38],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (1,6)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,3,73],[0,4,27],[0,6,20],[1,6,42],[2,3,6],[2,4,45],[2,5,36],[2,6,41],[3,4,11],[3,6,24],[4,6,38],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (3,4)=11, w=17\",\"Add (0,6)=20, w=37\",\"Add (3,6)=24, w=61\",\"Add (2,5)=36, w=97\",\"Add (1,6)=42, 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],\"edges\":[[0,1,96],[0,3,73],[0,4,27],[0,6,20],[1,6,42],[2,3,6],[2,4,45],[2,5,36],[2,6,41],[3,4,11],[3,6,24],[4,6,38],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (3,4)=11 Succeeded, w=17\",\"Add (0,6)=20 Succeeded, w=37\",\"Add (3,6)=24 Succeeded, w=61\",\"Add (0,4)=27 Failed, w=61\",\"Add (2,5)=36 Succeeded, w=97\",\"Add (4,6)=38 Failed, w=97\",\"Add (2,6)=41 Failed, w=97\",\"Add (1,6)=42 Succeeded, w=139\",\"Add (2,4)=45 Failed, w=139\",\"Add (5,6)=60 Failed, w=139\",\"Add (0,3)=73 Failed, w=139\",\"Add (0,1)=96 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],\"edges\":[[0,1,96],[0,3,73],[0,4,27],[0,6,20],[1,6,42],[2,3,6],[2,4,45],[2,5,36],[2,6,41],[3,4,11],[3,6,24],[4,6,38],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(3,4)=11,(0,6)=20,(3,6)=24,(0,4)=27,(2,5)=36,(4,6)=38,(2,6)=41,(1,6)=42,(2,4)=45,(5,6)=60,(0,3)=73,(0,1)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(3)=2, Find(4)=4, Add (3,4)=11 Succeeded, w=17\",\"Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=37\",\"Find(3)=2, Find(6)=0, Add (3,6)=24 Succeeded, w=61\",\"Find(0)=2, Find(4)=2, Add (0,4)=27 Failed, w=61\",\"Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=97\",\"Find(4)=2, Find(6)=2, Add (4,6)=38 Failed, w=97\",\"Find(2)=2, Find(6)=2, Add (2,6)=41 Failed, w=97\",\"Find(1)=1, Find(6)=2, Add (1,6)=42 Succeeded, w=139\",\"Find(2)=2, Find(4)=2, Add (2,4)=45 Failed, w=139\",\"Find(5)=2, Find(6)=2, Add (5,6)=60 Failed, w=139\",\"Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=139\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 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],\"edges\":[[0,1,96],[0,3,73],[0,4,27],[0,6,20],[1,6,42],[2,3,6],[2,4,45],[2,5,36],[2,6,41],[3,4,11],[3,6,24],[4,6,38],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(3,4)=11,(0,6)=20,(3,6)=24,(0,4)=27,(2,5)=36,(4,6)=38,(2,6)=41,(1,6)=42,(2,4)=45,(5,6)=60,(0,3)=73,(0,1)=96]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=2, Find(4)=4, Add (3,4)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 0}, Find(3)=2, Find(6)=0, Add (3,6)=24 Succeeded, w=61\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 0}, Find(0)=2, Find(4)=2, Add (0,4)=27 Failed, w=61\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=97\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=38 Failed, w=97\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=41 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=42 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=45 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=60 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,7],[0,2,8],[0,3,28],[0,4,84],[0,5,54],[0,7,60],[1,2,51],[1,4,82],[1,5,37],[1,6,17],[1,7,12],[2,3,95],[2,4,98],[2,5,49],[2,7,86],[3,4,96],[3,6,62],[3,7,26],[4,5,86],[4,6,53],[5,6,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,8],[0,3,28],[0,4,84],[0,5,54],[0,7,60],[1,2,51],[1,4,82],[1,5,37],[1,6,17],[1,7,12],[2,3,95],[2,4,98],[2,5,49],[2,7,86],[3,4,96],[3,6,62],[3,7,26],[4,5,86],[4,6,53],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,8],[0,3,28],[0,4,84],[0,5,54],[0,7,60],[1,2,51],[1,4,82],[1,5,37],[1,6,17],[1,7,12],[2,3,95],[2,4,98],[2,5,49],[2,7,86],[3,4,96],[3,6,62],[3,7,26],[4,5,86],[4,6,53],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,7)\",\"Add (1,6)\",\"Add (3,7)\",\"Add (1,5)\",\"Add (4,6)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,8],[0,3,28],[0,4,84],[0,5,54],[0,7,60],[1,2,51],[1,4,82],[1,5,37],[1,6,17],[1,7,12],[2,3,95],[2,4,98],[2,5,49],[2,7,86],[3,4,96],[3,6,62],[3,7,26],[4,5,86],[4,6,53],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (0,2)=8, w=15\",\"Add (1,7)=12, w=27\",\"Add (1,6)=17, w=44\",\"Add (3,7)=26, w=70\",\"Add (1,5)=37, w=107\",\"Add (4,6)=53, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,8],[0,3,28],[0,4,84],[0,5,54],[0,7,60],[1,2,51],[1,4,82],[1,5,37],[1,6,17],[1,7,12],[2,3,95],[2,4,98],[2,5,49],[2,7,86],[3,4,96],[3,6,62],[3,7,26],[4,5,86],[4,6,53],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,2)=8 Succeeded, w=15\",\"Add (1,7)=12 Succeeded, w=27\",\"Add (1,6)=17 Succeeded, w=44\",\"Add (3,7)=26 Succeeded, w=70\",\"Add (0,3)=28 Failed, w=70\",\"Add (1,5)=37 Succeeded, w=107\",\"Add (2,5)=49 Failed, w=107\",\"Add (1,2)=51 Failed, w=107\",\"Add (4,6)=53 Succeeded, w=160\",\"Add (0,5)=54 Failed, w=160\",\"Add (0,7)=60 Failed, w=160\",\"Add (3,6)=62 Failed, w=160\",\"Add (5,6)=65 Failed, w=160\",\"Add (1,4)=82 Failed, w=160\",\"Add (0,4)=84 Failed, w=160\",\"Add (2,7)=86 Failed, w=160\",\"Add (4,5)=86 Failed, w=160\",\"Add (2,3)=95 Failed, w=160\",\"Add (3,4)=96 Failed, w=160\",\"Add (2,4)=98 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,8],[0,3,28],[0,4,84],[0,5,54],[0,7,60],[1,2,51],[1,4,82],[1,5,37],[1,6,17],[1,7,12],[2,3,95],[2,4,98],[2,5,49],[2,7,86],[3,4,96],[3,6,62],[3,7,26],[4,5,86],[4,6,53],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,2)=8,(1,7)=12,(1,6)=17,(3,7)=26,(0,3)=28,(1,5)=37,(2,5)=49,(1,2)=51,(4,6)=53,(0,5)=54,(0,7)=60,(3,6)=62,(5,6)=65,(1,4)=82,(0,4)=84,(2,7)=86,(4,5)=86,(2,3)=95,(3,4)=96,(2,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=15\",\"Find(1)=0, Find(7)=7, Add (1,7)=12 Succeeded, w=27\",\"Find(1)=0, Find(6)=6, Add (1,6)=17 Succeeded, w=44\",\"Find(3)=3, Find(7)=0, Add (3,7)=26 Succeeded, w=70\",\"Find(0)=0, Find(3)=0, Add (0,3)=28 Failed, w=70\",\"Find(1)=0, Find(5)=5, Add (1,5)=37 Succeeded, w=107\",\"Find(2)=0, Find(5)=0, Add (2,5)=49 Failed, w=107\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=107\",\"Find(4)=4, Find(6)=0, Add (4,6)=53 Succeeded, w=160\",\"Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=160\",\"Find(0)=0, Find(7)=0, Add (0,7)=60 Failed, w=160\",\"Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=160\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=160\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=160\",\"Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=160\",\"Find(2)=0, Find(7)=0, Add (2,7)=86 Failed, w=160\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=160\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=160\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=160\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,8],[0,3,28],[0,4,84],[0,5,54],[0,7,60],[1,2,51],[1,4,82],[1,5,37],[1,6,17],[1,7,12],[2,3,95],[2,4,98],[2,5,49],[2,7,86],[3,4,96],[3,6,62],[3,7,26],[4,5,86],[4,6,53],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,2)=8,(1,7)=12,(1,6)=17,(3,7)=26,(0,3)=28,(1,5)=37,(2,5)=49,(1,2)=51,(4,6)=53,(0,5)=54,(0,7)=60,(3,6)=62,(5,6)=65,(1,4)=82,(0,4)=84,(2,7)=86,(4,5)=86,(2,3)=95,(3,4)=96,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=12 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(6)=6, Add (1,6)=17 Succeeded, w=44\",\"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)=26 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=28 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=5, Add (1,5)=37 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=49 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=53 Succeeded, w=160\",\"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)=54 Failed, w=160\",\"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)=60 Failed, w=160\",\"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)=62 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=160\",\"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)=82 Failed, w=160\",\"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)=84 Failed, w=160\",\"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)=86 Failed, w=160\",\"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=160\",\"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)=95 Failed, w=160\",\"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)=96 Failed, w=160\",\"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)=98 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,96],[0,4,41],[0,5,12],[0,6,95],[1,4,8],[1,5,85],[1,7,7],[2,3,93],[2,4,38],[2,5,68],[2,6,28],[3,4,26],[3,6,78],[4,5,6],[4,6,82],[4,7,27],[5,6,35],[5,7,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,4,41],[0,5,12],[0,6,95],[1,4,8],[1,5,85],[1,7,7],[2,3,93],[2,4,38],[2,5,68],[2,6,28],[3,4,26],[3,6,78],[4,5,6],[4,6,82],[4,7,27],[5,6,35],[5,7,33]]}",
"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\":[[0,2,96],[0,4,41],[0,5,12],[0,6,95],[1,4,8],[1,5,85],[1,7,7],[2,3,93],[2,4,38],[2,5,68],[2,6,28],[3,4,26],[3,6,78],[4,5,6],[4,6,82],[4,7,27],[5,6,35],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,7)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (5,6)\"],\"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\":[[0,2,96],[0,4,41],[0,5,12],[0,6,95],[1,4,8],[1,5,85],[1,7,7],[2,3,93],[2,4,38],[2,5,68],[2,6,28],[3,4,26],[3,6,78],[4,5,6],[4,6,82],[4,7,27],[5,6,35],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=6, w=6\",\"Add (1,7)=7, w=13\",\"Add (1,4)=8, w=21\",\"Add (0,5)=12, w=33\",\"Add (3,4)=26, w=59\",\"Add (2,6)=28, w=87\",\"Add (5,6)=35, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,4,41],[0,5,12],[0,6,95],[1,4,8],[1,5,85],[1,7,7],[2,3,93],[2,4,38],[2,5,68],[2,6,28],[3,4,26],[3,6,78],[4,5,6],[4,6,82],[4,7,27],[5,6,35],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=6 Succeeded, w=6\",\"Add (1,7)=7 Succeeded, w=13\",\"Add (1,4)=8 Succeeded, w=21\",\"Add (0,5)=12 Succeeded, w=33\",\"Add (3,4)=26 Succeeded, w=59\",\"Add (4,7)=27 Failed, w=59\",\"Add (2,6)=28 Succeeded, w=87\",\"Add (5,7)=33 Failed, w=87\",\"Add (5,6)=35 Succeeded, w=122\",\"Add (2,4)=38 Failed, w=122\",\"Add (0,4)=41 Failed, w=122\",\"Add (2,5)=68 Failed, w=122\",\"Add (3,6)=78 Failed, w=122\",\"Add (4,6)=82 Failed, w=122\",\"Add (1,5)=85 Failed, w=122\",\"Add (2,3)=93 Failed, w=122\",\"Add (0,6)=95 Failed, w=122\",\"Add (0,2)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,4,41],[0,5,12],[0,6,95],[1,4,8],[1,5,85],[1,7,7],[2,3,93],[2,4,38],[2,5,68],[2,6,28],[3,4,26],[3,6,78],[4,5,6],[4,6,82],[4,7,27],[5,6,35],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=6,(1,7)=7,(1,4)=8,(0,5)=12,(3,4)=26,(4,7)=27,(2,6)=28,(5,7)=33,(5,6)=35,(2,4)=38,(0,4)=41,(2,5)=68,(3,6)=78,(4,6)=82,(1,5)=85,(2,3)=93,(0,6)=95,(0,2)=96]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=6\",\"Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=13\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=21\",\"Find(0)=0, Find(5)=1, Add (0,5)=12 Succeeded, w=33\",\"Find(3)=3, Find(4)=1, Add (3,4)=26 Succeeded, w=59\",\"Find(4)=1, Find(7)=1, Add (4,7)=27 Failed, w=59\",\"Find(2)=2, Find(6)=6, Add (2,6)=28 Succeeded, w=87\",\"Find(5)=1, Find(7)=1, Add (5,7)=33 Failed, w=87\",\"Find(5)=1, Find(6)=2, Add (5,6)=35 Succeeded, w=122\",\"Find(2)=1, Find(4)=1, Add (2,4)=38 Failed, w=122\",\"Find(0)=1, Find(4)=1, Add (0,4)=41 Failed, w=122\",\"Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=122\",\"Find(3)=1, Find(6)=1, Add (3,6)=78 Failed, w=122\",\"Find(4)=1, Find(6)=1, Add (4,6)=82 Failed, w=122\",\"Find(1)=1, Find(5)=1, Add (1,5)=85 Failed, w=122\",\"Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=122\",\"Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=122\",\"Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,4,41],[0,5,12],[0,6,95],[1,4,8],[1,5,85],[1,7,7],[2,3,93],[2,4,38],[2,5,68],[2,6,28],[3,4,26],[3,6,78],[4,5,6],[4,6,82],[4,7,27],[5,6,35],[5,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=6,(1,7)=7,(1,4)=8,(0,5)=12,(3,4)=26,(4,7)=27,(2,6)=28,(5,7)=33,(5,6)=35,(2,4)=38,(0,4)=41,(2,5)=68,(3,6)=78,(4,6)=82,(1,5)=85,(2,3)=93,(0,6)=95,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 4, 6: 6, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=12 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(3)=3, Find(4)=1, Add (3,4)=26 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=27 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=28 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=33 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(5)=1, Find(6)=2, Add (5,6)=35 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=38 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=41 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=122\",\"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)=78 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)=82 Failed, w=122\",\"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)=85 Failed, w=122\",\"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)=93 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)=95 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)=96 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,71],[0,3,96],[0,4,100],[0,5,88],[0,6,32],[0,7,85],[1,2,59],[1,3,96],[1,4,58],[1,5,32],[1,6,88],[1,7,75],[2,4,93],[2,5,52],[2,6,96],[3,4,42],[3,5,82],[3,6,55],[3,7,18],[4,5,32],[4,6,7],[4,7,75],[5,7,23],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,96],[0,4,100],[0,5,88],[0,6,32],[0,7,85],[1,2,59],[1,3,96],[1,4,58],[1,5,32],[1,6,88],[1,7,75],[2,4,93],[2,5,52],[2,6,96],[3,4,42],[3,5,82],[3,6,55],[3,7,18],[4,5,32],[4,6,7],[4,7,75],[5,7,23],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,96],[0,4,100],[0,5,88],[0,6,32],[0,7,85],[1,2,59],[1,3,96],[1,4,58],[1,5,32],[1,6,88],[1,7,75],[2,4,93],[2,5,52],[2,6,96],[3,4,42],[3,5,82],[3,6,55],[3,7,18],[4,5,32],[4,6,7],[4,7,75],[5,7,23],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,7)\",\"Add (5,7)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (2,5)\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,96],[0,4,100],[0,5,88],[0,6,32],[0,7,85],[1,2,59],[1,3,96],[1,4,58],[1,5,32],[1,6,88],[1,7,75],[2,4,93],[2,5,52],[2,6,96],[3,4,42],[3,5,82],[3,6,55],[3,7,18],[4,5,32],[4,6,7],[4,7,75],[5,7,23],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7, w=7\",\"Add (3,7)=18, w=25\",\"Add (5,7)=23, w=48\",\"Add (0,6)=32, w=80\",\"Add (1,5)=32, w=112\",\"Add (4,5)=32, w=144\",\"Add (2,5)=52, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,96],[0,4,100],[0,5,88],[0,6,32],[0,7,85],[1,2,59],[1,3,96],[1,4,58],[1,5,32],[1,6,88],[1,7,75],[2,4,93],[2,5,52],[2,6,96],[3,4,42],[3,5,82],[3,6,55],[3,7,18],[4,5,32],[4,6,7],[4,7,75],[5,7,23],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7 Succeeded, w=7\",\"Add (3,7)=18 Succeeded, w=25\",\"Add (5,7)=23 Succeeded, w=48\",\"Add (0,6)=32 Succeeded, w=80\",\"Add (1,5)=32 Succeeded, w=112\",\"Add (4,5)=32 Succeeded, w=144\",\"Add (3,4)=42 Failed, w=144\",\"Add (2,5)=52 Succeeded, w=196\",\"Add (3,6)=55 Failed, w=196\",\"Add (1,4)=58 Failed, w=196\",\"Add (1,2)=59 Failed, w=196\",\"Add (0,1)=71 Failed, w=196\",\"Add (1,7)=75 Failed, w=196\",\"Add (4,7)=75 Failed, w=196\",\"Add (3,5)=82 Failed, w=196\",\"Add (6,7)=84 Failed, w=196\",\"Add (0,7)=85 Failed, w=196\",\"Add (0,5)=88 Failed, w=196\",\"Add (1,6)=88 Failed, w=196\",\"Add (2,4)=93 Failed, w=196\",\"Add (0,3)=96 Failed, w=196\",\"Add (1,3)=96 Failed, w=196\",\"Add (2,6)=96 Failed, w=196\",\"Add (0,4)=100 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,96],[0,4,100],[0,5,88],[0,6,32],[0,7,85],[1,2,59],[1,3,96],[1,4,58],[1,5,32],[1,6,88],[1,7,75],[2,4,93],[2,5,52],[2,6,96],[3,4,42],[3,5,82],[3,6,55],[3,7,18],[4,5,32],[4,6,7],[4,7,75],[5,7,23],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(3,7)=18,(5,7)=23,(0,6)=32,(1,5)=32,(4,5)=32,(3,4)=42,(2,5)=52,(3,6)=55,(1,4)=58,(1,2)=59,(0,1)=71,(1,7)=75,(4,7)=75,(3,5)=82,(6,7)=84,(0,7)=85,(0,5)=88,(1,6)=88,(2,4)=93,(0,3)=96,(1,3)=96,(2,6)=96,(0,4)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=7\",\"Find(3)=3, Find(7)=7, Add (3,7)=18 Succeeded, w=25\",\"Find(5)=5, Find(7)=3, Add (5,7)=23 Succeeded, w=48\",\"Find(0)=0, Find(6)=4, Add (0,6)=32 Succeeded, w=80\",\"Find(1)=1, Find(5)=3, Add (1,5)=32 Succeeded, w=112\",\"Find(4)=4, Find(5)=3, Add (4,5)=32 Succeeded, w=144\",\"Find(3)=4, Find(4)=4, Add (3,4)=42 Failed, w=144\",\"Find(2)=2, Find(5)=4, Add (2,5)=52 Succeeded, w=196\",\"Find(3)=4, Find(6)=4, Add (3,6)=55 Failed, w=196\",\"Find(1)=4, Find(4)=4, Add (1,4)=58 Failed, w=196\",\"Find(1)=4, Find(2)=4, Add (1,2)=59 Failed, w=196\",\"Find(0)=4, Find(1)=4, Add (0,1)=71 Failed, w=196\",\"Find(1)=4, Find(7)=4, Add (1,7)=75 Failed, w=196\",\"Find(4)=4, Find(7)=4, Add (4,7)=75 Failed, w=196\",\"Find(3)=4, Find(5)=4, Add (3,5)=82 Failed, w=196\",\"Find(6)=4, Find(7)=4, Add (6,7)=84 Failed, w=196\",\"Find(0)=4, Find(7)=4, Add (0,7)=85 Failed, w=196\",\"Find(0)=4, Find(5)=4, Add (0,5)=88 Failed, w=196\",\"Find(1)=4, Find(6)=4, Add (1,6)=88 Failed, w=196\",\"Find(2)=4, Find(4)=4, Add (2,4)=93 Failed, w=196\",\"Find(0)=4, Find(3)=4, Add (0,3)=96 Failed, w=196\",\"Find(1)=4, Find(3)=4, Add (1,3)=96 Failed, w=196\",\"Find(2)=4, Find(6)=4, Add (2,6)=96 Failed, w=196\",\"Find(0)=4, Find(4)=4, Add (0,4)=100 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,3,96],[0,4,100],[0,5,88],[0,6,32],[0,7,85],[1,2,59],[1,3,96],[1,4,58],[1,5,32],[1,6,88],[1,7,75],[2,4,93],[2,5,52],[2,6,96],[3,4,42],[3,5,82],[3,6,55],[3,7,18],[4,5,32],[4,6,7],[4,7,75],[5,7,23],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(3,7)=18,(5,7)=23,(0,6)=32,(1,5)=32,(4,5)=32,(3,4)=42,(2,5)=52,(3,6)=55,(1,4)=58,(1,2)=59,(0,1)=71,(1,7)=75,(4,7)=75,(3,5)=82,(6,7)=84,(0,7)=85,(0,5)=88,(1,6)=88,(2,4)=93,(0,3)=96,(1,3)=96,(2,6)=96,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=23 Succeeded, w=48\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 3}, Find(0)=0, Find(6)=4, Add (0,6)=32 Succeeded, w=80\",\"Parent: {0: 4, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 3}, Find(1)=1, Find(5)=3, Add (1,5)=32 Succeeded, w=112\",\"Parent: {0: 4, 1: 3, 2: 2, 3: 4, 4: 4, 5: 3, 6: 4, 7: 3}, Find(4)=4, Find(5)=3, Add (4,5)=32 Succeeded, w=144\",\"Parent: {0: 4, 1: 3, 2: 2, 3: 4, 4: 4, 5: 3, 6: 4, 7: 3}, Find(3)=4, Find(4)=4, Add (3,4)=42 Failed, w=144\",\"Parent: {0: 4, 1: 3, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(2)=2, Find(5)=4, Add (2,5)=52 Succeeded, w=196\",\"Parent: {0: 4, 1: 3, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(3)=4, Find(6)=4, Add (3,6)=55 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(1)=4, Find(4)=4, Add (1,4)=58 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(1)=4, Find(2)=4, Add (1,2)=59 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(0)=4, Find(1)=4, Add (0,1)=71 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=75 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=75 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=82 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=84 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=85 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=88 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=88 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=93 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=96 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=96 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=96 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=100 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[0,2,78],[0,4,32],[1,2,9],[1,3,19],[2,4,74],[3,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,78],[0,4,32],[1,2,9],[1,3,19],[2,4,74],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,78],[0,4,32],[1,2,9],[1,3,19],[2,4,74],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,78],[0,4,32],[1,2,9],[1,3,19],[2,4,74],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (1,3)=19, w=28\",\"Add (0,1)=31, w=59\",\"Add (0,4)=32, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,78],[0,4,32],[1,2,9],[1,3,19],[2,4,74],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (1,3)=19 Succeeded, w=28\",\"Add (0,1)=31 Succeeded, w=59\",\"Add (0,4)=32 Succeeded, w=91\",\"Add (2,4)=74 Failed, w=91\",\"Add (0,2)=78 Failed, w=91\",\"Add (3,4)=100 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,78],[0,4,32],[1,2,9],[1,3,19],[2,4,74],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(1,3)=19,(0,1)=31,(0,4)=32,(2,4)=74,(0,2)=78,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=59\",\"Find(0)=1, Find(4)=4, Add (0,4)=32 Succeeded, w=91\",\"Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=91\",\"Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=91\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,78],[0,4,32],[1,2,9],[1,3,19],[2,4,74],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(1,3)=19,(0,1)=31,(0,4)=32,(2,4)=74,(0,2)=78,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=32 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,33],[0,3,43],[1,2,33],[1,3,69],[2,3,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,33],[0,3,43],[1,2,33],[1,3,69],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,33],[0,3,43],[1,2,33],[1,3,69],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,33],[0,3,43],[1,2,33],[1,3,69],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (0,2)=33, w=35\",\"Add (1,2)=33, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,33],[0,3,43],[1,2,33],[1,3,69],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (0,2)=33 Succeeded, w=35\",\"Add (1,2)=33 Succeeded, w=68\",\"Add (0,3)=43 Failed, w=68\",\"Add (0,1)=44 Failed, w=68\",\"Add (1,3)=69 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,33],[0,3,43],[1,2,33],[1,3,69],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,2)=33,(1,2)=33,(0,3)=43,(0,1)=44,(1,3)=69]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=35\",\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=68\",\"Find(0)=2, Find(3)=2, Add (0,3)=43 Failed, w=68\",\"Find(0)=2, Find(1)=2, Add (0,1)=44 Failed, w=68\",\"Find(1)=2, Find(3)=2, Add (1,3)=69 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,33],[0,3,43],[1,2,33],[1,3,69],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,2)=33,(1,2)=33,(0,3)=43,(0,1)=44,(1,3)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=43 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=44 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=69 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,77],[0,3,6],[1,2,77],[1,4,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,77],[0,3,6],[1,2,77],[1,4,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,77],[0,3,6],[1,2,77],[1,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,77],[0,3,6],[1,2,77],[1,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (1,4)=13, w=19\",\"Add (0,2)=77, w=96\",\"Add (1,2)=77, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,77],[0,3,6],[1,2,77],[1,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,4)=13 Succeeded, w=19\",\"Add (0,2)=77 Succeeded, w=96\",\"Add (1,2)=77 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,77],[0,3,6],[1,2,77],[1,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,4)=13,(0,2)=77,(1,2)=77]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=77 Succeeded, w=96\",\"Find(1)=1, Find(2)=0, Add (1,2)=77 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,77],[0,3,6],[1,2,77],[1,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,4)=13,(0,2)=77,(1,2)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=77 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1}, Find(1)=1, Find(2)=0, Add (1,2)=77 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,18],[1,2,78],[1,3,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[1,2,78],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[1,2,78],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[1,2,78],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18, w=18\",\"Add (1,2)=78, w=96\",\"Add (1,3)=82, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[1,2,78],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18 Succeeded, w=18\",\"Add (1,2)=78 Succeeded, w=96\",\"Add (1,3)=82 Succeeded, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[1,2,78],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(1,2)=78,(1,3)=82]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(1)=0, Find(2)=2, Add (1,2)=78 Succeeded, w=96\",\"Find(1)=0, Find(3)=3, Add (1,3)=82 Succeeded, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[1,2,78],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(1,2)=78,(1,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=78 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=82 Succeeded, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,33],[0,5,90],[1,3,99],[1,4,69],[1,5,30],[1,6,82],[2,5,29],[2,6,73],[3,4,86],[3,6,3],[5,6,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,5,90],[1,3,99],[1,4,69],[1,5,30],[1,6,82],[2,5,29],[2,6,73],[3,4,86],[3,6,3],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,5,90],[1,3,99],[1,4,69],[1,5,30],[1,6,82],[2,5,29],[2,6,73],[3,4,86],[3,6,3],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (2,6)\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,5,90],[1,3,99],[1,4,69],[1,5,30],[1,6,82],[2,5,29],[2,6,73],[3,4,86],[3,6,3],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (2,5)=29, w=32\",\"Add (1,5)=30, w=62\",\"Add (0,2)=33, w=95\",\"Add (1,4)=69, w=164\",\"Add (2,6)=73, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,5,90],[1,3,99],[1,4,69],[1,5,30],[1,6,82],[2,5,29],[2,6,73],[3,4,86],[3,6,3],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (2,5)=29 Succeeded, w=32\",\"Add (1,5)=30 Succeeded, w=62\",\"Add (0,2)=33 Succeeded, w=95\",\"Add (1,4)=69 Succeeded, w=164\",\"Add (2,6)=73 Succeeded, w=237\",\"Add (5,6)=77 Failed, w=237\",\"Add (1,6)=82 Failed, w=237\",\"Add (3,4)=86 Failed, w=237\",\"Add (0,5)=90 Failed, w=237\",\"Add (1,3)=99 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,5,90],[1,3,99],[1,4,69],[1,5,30],[1,6,82],[2,5,29],[2,6,73],[3,4,86],[3,6,3],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(2,5)=29,(1,5)=30,(0,2)=33,(1,4)=69,(2,6)=73,(5,6)=77,(1,6)=82,(3,4)=86,(0,5)=90,(1,3)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=32\",\"Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=62\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=95\",\"Find(1)=2, Find(4)=4, Add (1,4)=69 Succeeded, w=164\",\"Find(2)=2, Find(6)=3, Add (2,6)=73 Succeeded, w=237\",\"Find(5)=2, Find(6)=2, Add (5,6)=77 Failed, w=237\",\"Find(1)=2, Find(6)=2, Add (1,6)=82 Failed, w=237\",\"Find(3)=2, Find(4)=2, Add (3,4)=86 Failed, w=237\",\"Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=237\",\"Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,5,90],[1,3,99],[1,4,69],[1,5,30],[1,6,82],[2,5,29],[2,6,73],[3,4,86],[3,6,3],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(2,5)=29,(1,5)=30,(0,2)=33,(1,4)=69,(2,6)=73,(5,6)=77,(1,6)=82,(3,4)=86,(0,5)=90,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 3}, Find(1)=2, Find(4)=4, Add (1,4)=69 Succeeded, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=73 Succeeded, w=237\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=77 Failed, w=237\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=82 Failed, w=237\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=86 Failed, w=237\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=237\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,8],[0,3,45],[0,6,46],[0,7,44],[1,2,43],[1,4,83],[1,5,63],[1,6,24],[1,7,73],[2,4,86],[2,6,83],[2,7,57],[3,4,8],[3,5,89],[3,6,79],[4,6,41],[4,7,29],[5,6,100],[5,7,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,3,45],[0,6,46],[0,7,44],[1,2,43],[1,4,83],[1,5,63],[1,6,24],[1,7,73],[2,4,86],[2,6,83],[2,7,57],[3,4,8],[3,5,89],[3,6,79],[4,6,41],[4,7,29],[5,6,100],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,3,45],[0,6,46],[0,7,44],[1,2,43],[1,4,83],[1,5,63],[1,6,24],[1,7,73],[2,4,86],[2,6,83],[2,7,57],[3,4,8],[3,5,89],[3,6,79],[4,6,41],[4,7,29],[5,6,100],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (4,7)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (5,7)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,3,45],[0,6,46],[0,7,44],[1,2,43],[1,4,83],[1,5,63],[1,6,24],[1,7,73],[2,4,86],[2,6,83],[2,7,57],[3,4,8],[3,5,89],[3,6,79],[4,6,41],[4,7,29],[5,6,100],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (3,4)=8, w=16\",\"Add (1,6)=24, w=40\",\"Add (4,7)=29, w=69\",\"Add (4,6)=41, w=110\",\"Add (1,2)=43, w=153\",\"Add (5,7)=58, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,3,45],[0,6,46],[0,7,44],[1,2,43],[1,4,83],[1,5,63],[1,6,24],[1,7,73],[2,4,86],[2,6,83],[2,7,57],[3,4,8],[3,5,89],[3,6,79],[4,6,41],[4,7,29],[5,6,100],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (3,4)=8 Succeeded, w=16\",\"Add (1,6)=24 Succeeded, w=40\",\"Add (4,7)=29 Succeeded, w=69\",\"Add (4,6)=41 Succeeded, w=110\",\"Add (1,2)=43 Succeeded, w=153\",\"Add (0,7)=44 Failed, w=153\",\"Add (0,3)=45 Failed, w=153\",\"Add (0,6)=46 Failed, w=153\",\"Add (2,7)=57 Failed, w=153\",\"Add (5,7)=58 Succeeded, w=211\",\"Add (1,5)=63 Failed, w=211\",\"Add (1,7)=73 Failed, w=211\",\"Add (3,6)=79 Failed, w=211\",\"Add (1,4)=83 Failed, w=211\",\"Add (2,6)=83 Failed, w=211\",\"Add (2,4)=86 Failed, w=211\",\"Add (3,5)=89 Failed, w=211\",\"Add (5,6)=100 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,3,45],[0,6,46],[0,7,44],[1,2,43],[1,4,83],[1,5,63],[1,6,24],[1,7,73],[2,4,86],[2,6,83],[2,7,57],[3,4,8],[3,5,89],[3,6,79],[4,6,41],[4,7,29],[5,6,100],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(3,4)=8,(1,6)=24,(4,7)=29,(4,6)=41,(1,2)=43,(0,7)=44,(0,3)=45,(0,6)=46,(2,7)=57,(5,7)=58,(1,5)=63,(1,7)=73,(3,6)=79,(1,4)=83,(2,6)=83,(2,4)=86,(3,5)=89,(5,6)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=16\",\"Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=40\",\"Find(4)=3, Find(7)=7, Add (4,7)=29 Succeeded, w=69\",\"Find(4)=3, Find(6)=1, Add (4,6)=41 Succeeded, w=110\",\"Find(1)=3, Find(2)=0, Add (1,2)=43 Succeeded, w=153\",\"Find(0)=3, Find(7)=3, Add (0,7)=44 Failed, w=153\",\"Find(0)=3, Find(3)=3, Add (0,3)=45 Failed, w=153\",\"Find(0)=3, Find(6)=3, Add (0,6)=46 Failed, w=153\",\"Find(2)=3, Find(7)=3, Add (2,7)=57 Failed, w=153\",\"Find(5)=5, Find(7)=3, Add (5,7)=58 Succeeded, w=211\",\"Find(1)=3, Find(5)=3, Add (1,5)=63 Failed, w=211\",\"Find(1)=3, Find(7)=3, Add (1,7)=73 Failed, w=211\",\"Find(3)=3, Find(6)=3, Add (3,6)=79 Failed, w=211\",\"Find(1)=3, Find(4)=3, Add (1,4)=83 Failed, w=211\",\"Find(2)=3, Find(6)=3, Add (2,6)=83 Failed, w=211\",\"Find(2)=3, Find(4)=3, Add (2,4)=86 Failed, w=211\",\"Find(3)=3, Find(5)=3, Add (3,5)=89 Failed, w=211\",\"Find(5)=3, Find(6)=3, Add (5,6)=100 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,8],[0,3,45],[0,6,46],[0,7,44],[1,2,43],[1,4,83],[1,5,63],[1,6,24],[1,7,73],[2,4,86],[2,6,83],[2,7,57],[3,4,8],[3,5,89],[3,6,79],[4,6,41],[4,7,29],[5,6,100],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(3,4)=8,(1,6)=24,(4,7)=29,(4,6)=41,(1,2)=43,(0,7)=44,(0,3)=45,(0,6)=46,(2,7)=57,(5,7)=58,(1,5)=63,(1,7)=73,(3,6)=79,(1,4)=83,(2,6)=83,(2,4)=86,(3,5)=89,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(4)=3, Find(7)=7, Add (4,7)=29 Succeeded, w=69\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(4)=3, Find(6)=1, Add (4,6)=41 Succeeded, w=110\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(1)=3, Find(2)=0, Add (1,2)=43 Succeeded, w=153\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=44 Failed, w=153\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=45 Failed, w=153\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=46 Failed, w=153\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=57 Failed, w=153\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=58 Succeeded, w=211\",\"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)=63 Failed, w=211\",\"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)=73 Failed, w=211\",\"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)=79 Failed, w=211\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=83 Failed, w=211\",\"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)=83 Failed, w=211\",\"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=211\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=89 Failed, w=211\",\"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)=100 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,53],[0,2,76],[0,3,35],[0,4,55],[1,3,14],[1,4,10],[2,3,40],[2,4,16],[3,4,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,76],[0,3,35],[0,4,55],[1,3,14],[1,4,10],[2,3,40],[2,4,16],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,76],[0,3,35],[0,4,55],[1,3,14],[1,4,10],[2,3,40],[2,4,16],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,76],[0,3,35],[0,4,55],[1,3,14],[1,4,10],[2,3,40],[2,4,16],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10, w=10\",\"Add (1,3)=14, w=24\",\"Add (2,4)=16, w=40\",\"Add (0,3)=35, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,76],[0,3,35],[0,4,55],[1,3,14],[1,4,10],[2,3,40],[2,4,16],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10 Succeeded, w=10\",\"Add (1,3)=14 Succeeded, w=24\",\"Add (2,4)=16 Succeeded, w=40\",\"Add (0,3)=35 Succeeded, w=75\",\"Add (2,3)=40 Failed, w=75\",\"Add (0,1)=53 Failed, w=75\",\"Add (0,4)=55 Failed, w=75\",\"Add (3,4)=63 Failed, w=75\",\"Add (0,2)=76 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,76],[0,3,35],[0,4,55],[1,3,14],[1,4,10],[2,3,40],[2,4,16],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(1,3)=14,(2,4)=16,(0,3)=35,(2,3)=40,(0,1)=53,(0,4)=55,(3,4)=63,(0,2)=76]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=24\",\"Find(2)=2, Find(4)=1, Add (2,4)=16 Succeeded, w=40\",\"Find(0)=0, Find(3)=1, Add (0,3)=35 Succeeded, w=75\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=75\",\"Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=75\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=75\",\"Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=75\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,76],[0,3,35],[0,4,55],[1,3,14],[1,4,10],[2,3,40],[2,4,16],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(1,3)=14,(2,4)=16,(0,3)=35,(2,3)=40,(0,1)=53,(0,4)=55,(3,4)=63,(0,2)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=16 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=35 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,23],[0,4,11],[1,2,29],[1,3,99],[1,4,36],[2,4,66],[3,4,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,4,11],[1,2,29],[1,3,99],[1,4,36],[2,4,66],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,4,11],[1,2,29],[1,3,99],[1,4,36],[2,4,66],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,4,11],[1,2,29],[1,3,99],[1,4,36],[2,4,66],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (0,1)=23, w=34\",\"Add (1,2)=29, w=63\",\"Add (3,4)=57, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,4,11],[1,2,29],[1,3,99],[1,4,36],[2,4,66],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (0,1)=23 Succeeded, w=34\",\"Add (1,2)=29 Succeeded, w=63\",\"Add (1,4)=36 Failed, w=63\",\"Add (3,4)=57 Succeeded, w=120\",\"Add (2,4)=66 Failed, w=120\",\"Add (1,3)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,4,11],[1,2,29],[1,3,99],[1,4,36],[2,4,66],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(0,1)=23,(1,2)=29,(1,4)=36,(3,4)=57,(2,4)=66,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=34\",\"Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=63\",\"Find(1)=0, Find(4)=0, Add (1,4)=36 Failed, w=63\",\"Find(3)=3, Find(4)=0, Add (3,4)=57 Succeeded, w=120\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=120\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,4,11],[1,2,29],[1,3,99],[1,4,36],[2,4,66],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(0,1)=23,(1,2)=29,(1,4)=36,(3,4)=57,(2,4)=66,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=36 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=57 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,18],[0,2,86],[0,3,12],[0,4,50],[0,5,74],[0,6,44],[1,2,31],[1,3,7],[1,4,65],[2,3,37],[2,4,28],[2,5,17],[2,6,15],[3,4,15],[3,5,52],[3,6,5],[4,5,54],[4,6,8],[5,6,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,86],[0,3,12],[0,4,50],[0,5,74],[0,6,44],[1,2,31],[1,3,7],[1,4,65],[2,3,37],[2,4,28],[2,5,17],[2,6,15],[3,4,15],[3,5,52],[3,6,5],[4,5,54],[4,6,8],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,86],[0,3,12],[0,4,50],[0,5,74],[0,6,44],[1,2,31],[1,3,7],[1,4,65],[2,3,37],[2,4,28],[2,5,17],[2,6,15],[3,4,15],[3,5,52],[3,6,5],[4,5,54],[4,6,8],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (2,5)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,86],[0,3,12],[0,4,50],[0,5,74],[0,6,44],[1,2,31],[1,3,7],[1,4,65],[2,3,37],[2,4,28],[2,5,17],[2,6,15],[3,4,15],[3,5,52],[3,6,5],[4,5,54],[4,6,8],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5, w=5\",\"Add (1,3)=7, w=12\",\"Add (4,6)=8, w=20\",\"Add (0,3)=12, w=32\",\"Add (2,6)=15, w=47\",\"Add (2,5)=17, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,86],[0,3,12],[0,4,50],[0,5,74],[0,6,44],[1,2,31],[1,3,7],[1,4,65],[2,3,37],[2,4,28],[2,5,17],[2,6,15],[3,4,15],[3,5,52],[3,6,5],[4,5,54],[4,6,8],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5 Succeeded, w=5\",\"Add (1,3)=7 Succeeded, w=12\",\"Add (4,6)=8 Succeeded, w=20\",\"Add (0,3)=12 Succeeded, w=32\",\"Add (2,6)=15 Succeeded, w=47\",\"Add (3,4)=15 Failed, w=47\",\"Add (2,5)=17 Succeeded, w=64\",\"Add (0,1)=18 Failed, w=64\",\"Add (2,4)=28 Failed, w=64\",\"Add (1,2)=31 Failed, w=64\",\"Add (2,3)=37 Failed, w=64\",\"Add (0,6)=44 Failed, w=64\",\"Add (0,4)=50 Failed, w=64\",\"Add (3,5)=52 Failed, w=64\",\"Add (4,5)=54 Failed, w=64\",\"Add (1,4)=65 Failed, w=64\",\"Add (0,5)=74 Failed, w=64\",\"Add (0,2)=86 Failed, w=64\",\"Add (5,6)=86 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,86],[0,3,12],[0,4,50],[0,5,74],[0,6,44],[1,2,31],[1,3,7],[1,4,65],[2,3,37],[2,4,28],[2,5,17],[2,6,15],[3,4,15],[3,5,52],[3,6,5],[4,5,54],[4,6,8],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(1,3)=7,(4,6)=8,(0,3)=12,(2,6)=15,(3,4)=15,(2,5)=17,(0,1)=18,(2,4)=28,(1,2)=31,(2,3)=37,(0,6)=44,(0,4)=50,(3,5)=52,(4,5)=54,(1,4)=65,(0,5)=74,(0,2)=86,(5,6)=86]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=12\",\"Find(4)=4, Find(6)=3, Add (4,6)=8 Succeeded, w=20\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=32\",\"Find(2)=2, Find(6)=3, Add (2,6)=15 Succeeded, w=47\",\"Find(3)=3, Find(4)=3, Add (3,4)=15 Failed, w=47\",\"Find(2)=3, Find(5)=5, Add (2,5)=17 Succeeded, w=64\",\"Find(0)=3, Find(1)=3, Add (0,1)=18 Failed, w=64\",\"Find(2)=3, Find(4)=3, Add (2,4)=28 Failed, w=64\",\"Find(1)=3, Find(2)=3, Add (1,2)=31 Failed, w=64\",\"Find(2)=3, Find(3)=3, Add (2,3)=37 Failed, w=64\",\"Find(0)=3, Find(6)=3, Add (0,6)=44 Failed, w=64\",\"Find(0)=3, Find(4)=3, Add (0,4)=50 Failed, w=64\",\"Find(3)=3, Find(5)=3, Add (3,5)=52 Failed, w=64\",\"Find(4)=3, Find(5)=3, Add (4,5)=54 Failed, w=64\",\"Find(1)=3, Find(4)=3, Add (1,4)=65 Failed, w=64\",\"Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=64\",\"Find(0)=3, Find(2)=3, Add (0,2)=86 Failed, w=64\",\"Find(5)=3, Find(6)=3, Add (5,6)=86 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,86],[0,3,12],[0,4,50],[0,5,74],[0,6,44],[1,2,31],[1,3,7],[1,4,65],[2,3,37],[2,4,28],[2,5,17],[2,6,15],[3,4,15],[3,5,52],[3,6,5],[4,5,54],[4,6,8],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(1,3)=7,(4,6)=8,(0,3)=12,(2,6)=15,(3,4)=15,(2,5)=17,(0,1)=18,(2,4)=28,(1,2)=31,(2,3)=37,(0,6)=44,(0,4)=50,(3,5)=52,(4,5)=54,(1,4)=65,(0,5)=74,(0,2)=86,(5,6)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=8 Succeeded, w=20\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=32\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=15 Succeeded, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=15 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=5, Add (2,5)=17 Succeeded, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=18 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=28 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=31 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=37 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=44 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=50 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=52 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=54 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=65 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=86 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=86 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,23],[0,4,79],[0,5,66],[1,3,39],[1,4,27],[1,5,78],[2,4,40],[2,5,85],[3,4,69],[3,5,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,4,79],[0,5,66],[1,3,39],[1,4,27],[1,5,78],[2,4,40],[2,5,85],[3,4,69],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,4,79],[0,5,66],[1,3,39],[1,4,27],[1,5,78],[2,4,40],[2,5,85],[3,4,69],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (3,5)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,4,79],[0,5,66],[1,3,39],[1,4,27],[1,5,78],[2,4,40],[2,5,85],[3,4,69],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=23, w=23\",\"Add (1,4)=27, w=50\",\"Add (1,3)=39, w=89\",\"Add (2,4)=40, w=129\",\"Add (3,5)=46, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,4,79],[0,5,66],[1,3,39],[1,4,27],[1,5,78],[2,4,40],[2,5,85],[3,4,69],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=23 Succeeded, w=23\",\"Add (1,4)=27 Succeeded, w=50\",\"Add (1,3)=39 Succeeded, w=89\",\"Add (2,4)=40 Succeeded, w=129\",\"Add (3,5)=46 Succeeded, w=175\",\"Add (0,5)=66 Failed, w=175\",\"Add (3,4)=69 Failed, w=175\",\"Add (1,5)=78 Failed, w=175\",\"Add (0,4)=79 Failed, w=175\",\"Add (2,5)=85 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,4,79],[0,5,66],[1,3,39],[1,4,27],[1,5,78],[2,4,40],[2,5,85],[3,4,69],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=23,(1,4)=27,(1,3)=39,(2,4)=40,(3,5)=46,(0,5)=66,(3,4)=69,(1,5)=78,(0,4)=79,(2,5)=85]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=23\",\"Find(1)=0, Find(4)=4, Add (1,4)=27 Succeeded, w=50\",\"Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=89\",\"Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=129\",\"Find(3)=0, Find(5)=5, Add (3,5)=46 Succeeded, w=175\",\"Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=175\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=175\",\"Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=175\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=175\",\"Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,4,79],[0,5,66],[1,3,39],[1,4,27],[1,5,78],[2,4,40],[2,5,85],[3,4,69],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=23,(1,4)=27,(1,3)=39,(2,4)=40,(3,5)=46,(0,5)=66,(3,4)=69,(1,5)=78,(0,4)=79,(2,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=27 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=46 Succeeded, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,73],[0,3,51],[0,4,39],[1,2,82],[1,3,81],[1,4,15],[2,3,35],[2,4,53],[3,4,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,51],[0,4,39],[1,2,82],[1,3,81],[1,4,15],[2,3,35],[2,4,53],[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\":[[0,1,73],[0,3,51],[0,4,39],[1,2,82],[1,3,81],[1,4,15],[2,3,35],[2,4,53],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,51],[0,4,39],[1,2,82],[1,3,81],[1,4,15],[2,3,35],[2,4,53],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10, w=10\",\"Add (1,4)=15, w=25\",\"Add (2,3)=35, w=60\",\"Add (0,4)=39, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,51],[0,4,39],[1,2,82],[1,3,81],[1,4,15],[2,3,35],[2,4,53],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10 Succeeded, w=10\",\"Add (1,4)=15 Succeeded, w=25\",\"Add (2,3)=35 Succeeded, w=60\",\"Add (0,4)=39 Succeeded, w=99\",\"Add (0,3)=51 Failed, w=99\",\"Add (2,4)=53 Failed, w=99\",\"Add (0,1)=73 Failed, w=99\",\"Add (1,3)=81 Failed, w=99\",\"Add (1,2)=82 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\":[[0,1,73],[0,3,51],[0,4,39],[1,2,82],[1,3,81],[1,4,15],[2,3,35],[2,4,53],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(1,4)=15,(2,3)=35,(0,4)=39,(0,3)=51,(2,4)=53,(0,1)=73,(1,3)=81,(1,2)=82]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(4)=3, Add (1,4)=15 Succeeded, w=25\",\"Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=60\",\"Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=99\",\"Find(0)=3, Find(3)=3, Add (0,3)=51 Failed, w=99\",\"Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=99\",\"Find(0)=3, Find(1)=3, Add (0,1)=73 Failed, w=99\",\"Find(1)=3, Find(3)=3, Add (1,3)=81 Failed, w=99\",\"Find(1)=3, Find(2)=3, Add (1,2)=82 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\":[[0,1,73],[0,3,51],[0,4,39],[1,2,82],[1,3,81],[1,4,15],[2,3,35],[2,4,53],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(1,4)=15,(2,3)=35,(0,4)=39,(0,3)=51,(2,4)=53,(0,1)=73,(1,3)=81,(1,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=51 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=73 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=81 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=82 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,88],[0,5,45],[1,2,36],[1,3,62],[1,5,60],[2,3,12],[2,4,56],[3,4,60],[3,5,35],[4,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,5,45],[1,2,36],[1,3,62],[1,5,60],[2,3,12],[2,4,56],[3,4,60],[3,5,35],[4,5,15]]}",
"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],\"edges\":[[0,2,88],[0,5,45],[1,2,36],[1,3,62],[1,5,60],[2,3,12],[2,4,56],[3,4,60],[3,5,35],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (0,5)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,5,45],[1,2,36],[1,3,62],[1,5,60],[2,3,12],[2,4,56],[3,4,60],[3,5,35],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (4,5)=15, w=27\",\"Add (3,5)=35, w=62\",\"Add (1,2)=36, w=98\",\"Add (0,5)=45, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,5,45],[1,2,36],[1,3,62],[1,5,60],[2,3,12],[2,4,56],[3,4,60],[3,5,35],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (4,5)=15 Succeeded, w=27\",\"Add (3,5)=35 Succeeded, w=62\",\"Add (1,2)=36 Succeeded, w=98\",\"Add (0,5)=45 Succeeded, w=143\",\"Add (2,4)=56 Failed, w=143\",\"Add (1,5)=60 Failed, w=143\",\"Add (3,4)=60 Failed, w=143\",\"Add (1,3)=62 Failed, w=143\",\"Add (0,2)=88 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],\"edges\":[[0,2,88],[0,5,45],[1,2,36],[1,3,62],[1,5,60],[2,3,12],[2,4,56],[3,4,60],[3,5,35],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(4,5)=15,(3,5)=35,(1,2)=36,(0,5)=45,(2,4)=56,(1,5)=60,(3,4)=60,(1,3)=62,(0,2)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=27\",\"Find(3)=2, Find(5)=4, Add (3,5)=35 Succeeded, w=62\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=98\",\"Find(0)=0, Find(5)=2, Add (0,5)=45 Succeeded, w=143\",\"Find(2)=2, Find(4)=2, Add (2,4)=56 Failed, w=143\",\"Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=143\",\"Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=143\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=143\",\"Find(0)=2, Find(2)=2, Add (0,2)=88 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],\"edges\":[[0,2,88],[0,5,45],[1,2,36],[1,3,62],[1,5,60],[2,3,12],[2,4,56],[3,4,60],[3,5,35],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(4,5)=15,(3,5)=35,(1,2)=36,(0,5)=45,(2,4)=56,(1,5)=60,(3,4)=60,(1,3)=62,(0,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(5)=4, Add (3,5)=35 Succeeded, w=62\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=45 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=56 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,43],[0,4,19],[0,5,90],[0,6,8],[1,2,88],[1,3,97],[1,4,16],[1,6,61],[1,7,6],[2,3,70],[2,6,9],[2,7,72],[3,4,83],[3,5,33],[3,7,68],[4,5,100],[4,6,96],[4,7,80],[5,6,32],[6,7,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,4,19],[0,5,90],[0,6,8],[1,2,88],[1,3,97],[1,4,16],[1,6,61],[1,7,6],[2,3,70],[2,6,9],[2,7,72],[3,4,83],[3,5,33],[3,7,68],[4,5,100],[4,6,96],[4,7,80],[5,6,32],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,4,19],[0,5,90],[0,6,8],[1,2,88],[1,3,97],[1,4,16],[1,6,61],[1,7,6],[2,3,70],[2,6,9],[2,7,72],[3,4,83],[3,5,33],[3,7,68],[4,5,100],[4,6,96],[4,7,80],[5,6,32],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (3,5)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,4,19],[0,5,90],[0,6,8],[1,2,88],[1,3,97],[1,4,16],[1,6,61],[1,7,6],[2,3,70],[2,6,9],[2,7,72],[3,4,83],[3,5,33],[3,7,68],[4,5,100],[4,6,96],[4,7,80],[5,6,32],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=6, w=6\",\"Add (0,6)=8, w=14\",\"Add (2,6)=9, w=23\",\"Add (1,4)=16, w=39\",\"Add (0,4)=19, w=58\",\"Add (5,6)=32, w=90\",\"Add (3,5)=33, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,4,19],[0,5,90],[0,6,8],[1,2,88],[1,3,97],[1,4,16],[1,6,61],[1,7,6],[2,3,70],[2,6,9],[2,7,72],[3,4,83],[3,5,33],[3,7,68],[4,5,100],[4,6,96],[4,7,80],[5,6,32],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=6 Succeeded, w=6\",\"Add (0,6)=8 Succeeded, w=14\",\"Add (2,6)=9 Succeeded, w=23\",\"Add (1,4)=16 Succeeded, w=39\",\"Add (0,4)=19 Succeeded, w=58\",\"Add (5,6)=32 Succeeded, w=90\",\"Add (3,5)=33 Succeeded, w=123\",\"Add (0,2)=43 Failed, w=123\",\"Add (1,6)=61 Failed, w=123\",\"Add (3,7)=68 Failed, w=123\",\"Add (2,3)=70 Failed, w=123\",\"Add (2,7)=72 Failed, w=123\",\"Add (6,7)=79 Failed, w=123\",\"Add (4,7)=80 Failed, w=123\",\"Add (3,4)=83 Failed, w=123\",\"Add (1,2)=88 Failed, w=123\",\"Add (0,5)=90 Failed, w=123\",\"Add (4,6)=96 Failed, w=123\",\"Add (1,3)=97 Failed, w=123\",\"Add (4,5)=100 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,4,19],[0,5,90],[0,6,8],[1,2,88],[1,3,97],[1,4,16],[1,6,61],[1,7,6],[2,3,70],[2,6,9],[2,7,72],[3,4,83],[3,5,33],[3,7,68],[4,5,100],[4,6,96],[4,7,80],[5,6,32],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=6,(0,6)=8,(2,6)=9,(1,4)=16,(0,4)=19,(5,6)=32,(3,5)=33,(0,2)=43,(1,6)=61,(3,7)=68,(2,3)=70,(2,7)=72,(6,7)=79,(4,7)=80,(3,4)=83,(1,2)=88,(0,5)=90,(4,6)=96,(1,3)=97,(4,5)=100]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=14\",\"Find(2)=2, Find(6)=0, Add (2,6)=9 Succeeded, w=23\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=39\",\"Find(0)=0, Find(4)=1, Add (0,4)=19 Succeeded, w=58\",\"Find(5)=5, Find(6)=0, Add (5,6)=32 Succeeded, w=90\",\"Find(3)=3, Find(5)=0, Add (3,5)=33 Succeeded, w=123\",\"Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=123\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=123\",\"Find(3)=0, Find(7)=0, Add (3,7)=68 Failed, w=123\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=123\",\"Find(2)=0, Find(7)=0, Add (2,7)=72 Failed, w=123\",\"Find(6)=0, Find(7)=0, Add (6,7)=79 Failed, w=123\",\"Find(4)=0, Find(7)=0, Add (4,7)=80 Failed, w=123\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=123\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=123\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=123\",\"Find(4)=0, Find(6)=0, Add (4,6)=96 Failed, w=123\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=123\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,4,19],[0,5,90],[0,6,8],[1,2,88],[1,3,97],[1,4,16],[1,6,61],[1,7,6],[2,3,70],[2,6,9],[2,7,72],[3,4,83],[3,5,33],[3,7,68],[4,5,100],[4,6,96],[4,7,80],[5,6,32],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=6,(0,6)=8,(2,6)=9,(1,4)=16,(0,4)=19,(5,6)=32,(3,5)=33,(0,2)=43,(1,6)=61,(3,7)=68,(2,3)=70,(2,7)=72,(6,7)=79,(4,7)=80,(3,4)=83,(1,2)=88,(0,5)=90,(4,6)=96,(1,3)=97,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 1}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 1}, Find(2)=2, Find(6)=0, Add (2,6)=9 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=19 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 0, 6: 0, 7: 1}, Find(5)=5, Find(6)=0, Add (5,6)=32 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(3)=3, Find(5)=0, Add (3,5)=33 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=68 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=72 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=79 Failed, w=123\",\"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)=80 Failed, w=123\",\"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)=83 Failed, w=123\",\"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)=88 Failed, w=123\",\"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)=90 Failed, w=123\",\"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)=96 Failed, w=123\",\"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)=97 Failed, w=123\",\"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)=100 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,20],[0,3,76],[0,5,99],[0,6,33],[0,7,46],[1,2,89],[1,4,37],[1,6,14],[1,7,74],[4,5,28],[4,6,31],[4,7,98],[5,6,24],[6,7,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,76],[0,5,99],[0,6,33],[0,7,46],[1,2,89],[1,4,37],[1,6,14],[1,7,74],[4,5,28],[4,6,31],[4,7,98],[5,6,24],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,76],[0,5,99],[0,6,33],[0,7,46],[1,2,89],[1,4,37],[1,6,14],[1,7,74],[4,5,28],[4,6,31],[4,7,98],[5,6,24],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,2)\",\"Add (5,6)\",\"Add (4,5)\",\"Add (6,7)\",\"Add (0,6)\",\"Add (0,3)\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,76],[0,5,99],[0,6,33],[0,7,46],[1,2,89],[1,4,37],[1,6,14],[1,7,74],[4,5,28],[4,6,31],[4,7,98],[5,6,24],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=14, w=14\",\"Add (0,2)=20, w=34\",\"Add (5,6)=24, w=58\",\"Add (4,5)=28, w=86\",\"Add (6,7)=32, w=118\",\"Add (0,6)=33, w=151\",\"Add (0,3)=76, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,76],[0,5,99],[0,6,33],[0,7,46],[1,2,89],[1,4,37],[1,6,14],[1,7,74],[4,5,28],[4,6,31],[4,7,98],[5,6,24],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=14 Succeeded, w=14\",\"Add (0,2)=20 Succeeded, w=34\",\"Add (5,6)=24 Succeeded, w=58\",\"Add (4,5)=28 Succeeded, w=86\",\"Add (4,6)=31 Failed, w=86\",\"Add (6,7)=32 Succeeded, w=118\",\"Add (0,6)=33 Succeeded, w=151\",\"Add (1,4)=37 Failed, w=151\",\"Add (0,7)=46 Failed, w=151\",\"Add (1,7)=74 Failed, w=151\",\"Add (0,3)=76 Succeeded, w=227\",\"Add (1,2)=89 Failed, w=227\",\"Add (4,7)=98 Failed, w=227\",\"Add (0,5)=99 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,76],[0,5,99],[0,6,33],[0,7,46],[1,2,89],[1,4,37],[1,6,14],[1,7,74],[4,5,28],[4,6,31],[4,7,98],[5,6,24],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=14,(0,2)=20,(5,6)=24,(4,5)=28,(4,6)=31,(6,7)=32,(0,6)=33,(1,4)=37,(0,7)=46,(1,7)=74,(0,3)=76,(1,2)=89,(4,7)=98,(0,5)=99]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=34\",\"Find(5)=5, Find(6)=1, Add (5,6)=24 Succeeded, w=58\",\"Find(4)=4, Find(5)=1, Add (4,5)=28 Succeeded, w=86\",\"Find(4)=1, Find(6)=1, Add (4,6)=31 Failed, w=86\",\"Find(6)=1, Find(7)=7, Add (6,7)=32 Succeeded, w=118\",\"Find(0)=0, Find(6)=1, Add (0,6)=33 Succeeded, w=151\",\"Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=151\",\"Find(0)=0, Find(7)=0, Add (0,7)=46 Failed, w=151\",\"Find(1)=0, Find(7)=0, Add (1,7)=74 Failed, w=151\",\"Find(0)=0, Find(3)=3, Add (0,3)=76 Succeeded, w=227\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=227\",\"Find(4)=0, Find(7)=0, Add (4,7)=98 Failed, w=227\",\"Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,3,76],[0,5,99],[0,6,33],[0,7,46],[1,2,89],[1,4,37],[1,6,14],[1,7,74],[4,5,28],[4,6,31],[4,7,98],[5,6,24],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=14,(0,2)=20,(5,6)=24,(4,5)=28,(4,6)=31,(6,7)=32,(0,6)=33,(1,4)=37,(0,7)=46,(1,7)=74,(0,3)=76,(1,2)=89,(4,7)=98,(0,5)=99]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(5)=5, Find(6)=1, Add (5,6)=24 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=4, Find(5)=1, Add (4,5)=28 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(6)=1, Add (4,6)=31 Failed, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=7, Add (6,7)=32 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(6)=1, Add (0,6)=33 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 1, 7: 1}, Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=46 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 1, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=74 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=76 Succeeded, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=98 Failed, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,10],[0,2,3],[0,4,50],[1,2,95],[1,3,84],[1,4,58],[2,3,85],[2,4,46],[3,4,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,3],[0,4,50],[1,2,95],[1,3,84],[1,4,58],[2,3,85],[2,4,46],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,3],[0,4,50],[1,2,95],[1,3,84],[1,4,58],[2,3,85],[2,4,46],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,3],[0,4,50],[1,2,95],[1,3,84],[1,4,58],[2,3,85],[2,4,46],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (0,1)=10, w=13\",\"Add (2,4)=46, w=59\",\"Add (3,4)=57, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,3],[0,4,50],[1,2,95],[1,3,84],[1,4,58],[2,3,85],[2,4,46],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (0,1)=10 Succeeded, w=13\",\"Add (2,4)=46 Succeeded, w=59\",\"Add (0,4)=50 Failed, w=59\",\"Add (3,4)=57 Succeeded, w=116\",\"Add (1,4)=58 Failed, w=116\",\"Add (1,3)=84 Failed, w=116\",\"Add (2,3)=85 Failed, w=116\",\"Add (1,2)=95 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,3],[0,4,50],[1,2,95],[1,3,84],[1,4,58],[2,3,85],[2,4,46],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(0,1)=10,(2,4)=46,(0,4)=50,(3,4)=57,(1,4)=58,(1,3)=84,(2,3)=85,(1,2)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=13\",\"Find(2)=0, Find(4)=4, Add (2,4)=46 Succeeded, w=59\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=59\",\"Find(3)=3, Find(4)=0, Add (3,4)=57 Succeeded, w=116\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=116\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=116\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=116\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,3],[0,4,50],[1,2,95],[1,3,84],[1,4,58],[2,3,85],[2,4,46],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(0,1)=10,(2,4)=46,(0,4)=50,(3,4)=57,(1,4)=58,(1,3)=84,(2,3)=85,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=46 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=57 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
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