graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,68],[0,2,99],[0,3,65],[0,4,6],[1,2,0],[1,3,80],[1,4,49],[2,3,20],[2,4,50],[3,4,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,99],[0,3,65],[0,4,6],[1,2,0],[1,3,80],[1,4,49],[2,3,20],[2,4,50],[3,4,81]]}",
"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\":[[0,1,68],[0,2,99],[0,3,65],[0,4,6],[1,2,0],[1,3,80],[1,4,49],[2,3,20],[2,4,50],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,99],[0,3,65],[0,4,6],[1,2,0],[1,3,80],[1,4,49],[2,3,20],[2,4,50],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,4)=6, w=6\",\"Add (2,3)=20, w=26\",\"Add (1,4)=49, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,99],[0,3,65],[0,4,6],[1,2,0],[1,3,80],[1,4,49],[2,3,20],[2,4,50],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,4)=6 Succeeded, w=6\",\"Add (2,3)=20 Succeeded, w=26\",\"Add (1,4)=49 Succeeded, w=75\",\"Add (2,4)=50 Failed, w=75\",\"Add (0,3)=65 Failed, w=75\",\"Add (0,1)=68 Failed, w=75\",\"Add (1,3)=80 Failed, w=75\",\"Add (3,4)=81 Failed, w=75\",\"Add (0,2)=99 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\":[[0,1,68],[0,2,99],[0,3,65],[0,4,6],[1,2,0],[1,3,80],[1,4,49],[2,3,20],[2,4,50],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,4)=6,(2,3)=20,(1,4)=49,(2,4)=50,(0,3)=65,(0,1)=68,(1,3)=80,(3,4)=81,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=26\",\"Find(1)=1, Find(4)=0, Add (1,4)=49 Succeeded, w=75\",\"Find(2)=1, Find(4)=1, Add (2,4)=50 Failed, w=75\",\"Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=75\",\"Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=75\",\"Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=75\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=75\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 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\":[[0,1,68],[0,2,99],[0,3,65],[0,4,6],[1,2,0],[1,3,80],[1,4,49],[2,3,20],[2,4,50],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,4)=6,(2,3)=20,(1,4)=49,(2,4)=50,(0,3)=65,(0,1)=68,(1,3)=80,(3,4)=81,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=49 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=50 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,45],[0,6,92],[0,7,34],[1,2,48],[1,3,37],[1,6,38],[2,4,23],[2,5,46],[2,6,83],[3,5,35],[3,7,21],[4,6,57],[5,6,22]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,45],[0,6,92],[0,7,34],[1,2,48],[1,3,37],[1,6,38],[2,4,23],[2,5,46],[2,6,83],[3,5,35],[3,7,21],[4,6,57],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,45],[0,6,92],[0,7,34],[1,2,48],[1,3,37],[1,6,38],[2,4,23],[2,5,46],[2,6,83],[3,5,35],[3,7,21],[4,6,57],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (0,7)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,45],[0,6,92],[0,7,34],[1,2,48],[1,3,37],[1,6,38],[2,4,23],[2,5,46],[2,6,83],[3,5,35],[3,7,21],[4,6,57],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=21, w=21\",\"Add (5,6)=22, w=43\",\"Add (2,4)=23, w=66\",\"Add (0,7)=34, w=100\",\"Add (3,5)=35, w=135\",\"Add (1,3)=37, w=172\",\"Add (0,4)=45, w=217\"],\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,45],[0,6,92],[0,7,34],[1,2,48],[1,3,37],[1,6,38],[2,4,23],[2,5,46],[2,6,83],[3,5,35],[3,7,21],[4,6,57],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=21 Succeeded, w=21\",\"Add (5,6)=22 Succeeded, w=43\",\"Add (2,4)=23 Succeeded, w=66\",\"Add (0,7)=34 Succeeded, w=100\",\"Add (3,5)=35 Succeeded, w=135\",\"Add (1,3)=37 Succeeded, w=172\",\"Add (1,6)=38 Failed, w=172\",\"Add (0,4)=45 Succeeded, w=217\",\"Add (2,5)=46 Failed, w=217\",\"Add (1,2)=48 Failed, w=217\",\"Add (4,6)=57 Failed, w=217\",\"Add (2,6)=83 Failed, w=217\",\"Add (0,6)=92 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,45],[0,6,92],[0,7,34],[1,2,48],[1,3,37],[1,6,38],[2,4,23],[2,5,46],[2,6,83],[3,5,35],[3,7,21],[4,6,57],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=21,(5,6)=22,(2,4)=23,(0,7)=34,(3,5)=35,(1,3)=37,(1,6)=38,(0,4)=45,(2,5)=46,(1,2)=48,(4,6)=57,(2,6)=83,(0,6)=92]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=21 Succeeded, w=21\",\"Find(5)=5, Find(6)=6, Add (5,6)=22 Succeeded, w=43\",\"Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=66\",\"Find(0)=0, Find(7)=3, Add (0,7)=34 Succeeded, w=100\",\"Find(3)=3, Find(5)=5, Add (3,5)=35 Succeeded, w=135\",\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=172\",\"Find(1)=3, Find(6)=3, Add (1,6)=38 Failed, w=172\",\"Find(0)=3, Find(4)=2, Add (0,4)=45 Succeeded, w=217\",\"Find(2)=3, Find(5)=3, Add (2,5)=46 Failed, w=217\",\"Find(1)=3, Find(2)=3, Add (1,2)=48 Failed, w=217\",\"Find(4)=3, Find(6)=3, Add (4,6)=57 Failed, w=217\",\"Find(2)=3, Find(6)=3, Add (2,6)=83 Failed, w=217\",\"Find(0)=3, Find(6)=3, Add (0,6)=92 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,45],[0,6,92],[0,7,34],[1,2,48],[1,3,37],[1,6,38],[2,4,23],[2,5,46],[2,6,83],[3,5,35],[3,7,21],[4,6,57],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=21,(5,6)=22,(2,4)=23,(0,7)=34,(3,5)=35,(1,3)=37,(1,6)=38,(0,4)=45,(2,5)=46,(1,2)=48,(4,6)=57,(2,6)=83,(0,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(5)=5, Find(6)=6, Add (5,6)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 3}, Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=66\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 3}, Find(0)=0, Find(7)=3, Add (0,7)=34 Succeeded, w=100\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 5, 7: 3}, Find(3)=3, Find(5)=5, Add (3,5)=35 Succeeded, w=135\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 5, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=172\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=38 Failed, w=172\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=2, Add (0,4)=45 Succeeded, w=217\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=46 Failed, w=217\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=48 Failed, w=217\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=57 Failed, w=217\",\"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=217\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=92 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,2,96],[0,5,38],[0,6,33],[0,7,71],[1,2,47],[1,3,83],[1,4,31],[1,5,77],[2,5,8],[2,6,35],[2,7,77],[3,5,54],[3,6,68],[4,5,89],[4,6,73],[5,6,95],[5,7,82],[6,7,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,96],[0,5,38],[0,6,33],[0,7,71],[1,2,47],[1,3,83],[1,4,31],[1,5,77],[2,5,8],[2,6,35],[2,7,77],[3,5,54],[3,6,68],[4,5,89],[4,6,73],[5,6,95],[5,7,82],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":215}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,96],[0,5,38],[0,6,33],[0,7,71],[1,2,47],[1,3,83],[1,4,31],[1,5,77],[2,5,8],[2,6,35],[2,7,77],[3,5,54],[3,6,68],[4,5,89],[4,6,73],[5,6,95],[5,7,82],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (3,5)\"],\"Answer\":215}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,96],[0,5,38],[0,6,33],[0,7,71],[1,2,47],[1,3,83],[1,4,31],[1,5,77],[2,5,8],[2,6,35],[2,7,77],[3,5,54],[3,6,68],[4,5,89],[4,6,73],[5,6,95],[5,7,82],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=7, w=7\",\"Add (2,5)=8, w=15\",\"Add (1,4)=31, w=46\",\"Add (0,6)=33, w=79\",\"Add (2,6)=35, w=114\",\"Add (1,2)=47, w=161\",\"Add (3,5)=54, w=215\"],\"Answer\":215}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,96],[0,5,38],[0,6,33],[0,7,71],[1,2,47],[1,3,83],[1,4,31],[1,5,77],[2,5,8],[2,6,35],[2,7,77],[3,5,54],[3,6,68],[4,5,89],[4,6,73],[5,6,95],[5,7,82],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=7 Succeeded, w=7\",\"Add (2,5)=8 Succeeded, w=15\",\"Add (1,4)=31 Succeeded, w=46\",\"Add (0,6)=33 Succeeded, w=79\",\"Add (2,6)=35 Succeeded, w=114\",\"Add (0,5)=38 Failed, w=114\",\"Add (1,2)=47 Succeeded, w=161\",\"Add (3,5)=54 Succeeded, w=215\",\"Add (3,6)=68 Failed, w=215\",\"Add (0,7)=71 Failed, w=215\",\"Add (4,6)=73 Failed, w=215\",\"Add (0,1)=76 Failed, w=215\",\"Add (1,5)=77 Failed, w=215\",\"Add (2,7)=77 Failed, w=215\",\"Add (5,7)=82 Failed, w=215\",\"Add (1,3)=83 Failed, w=215\",\"Add (4,5)=89 Failed, w=215\",\"Add (5,6)=95 Failed, w=215\",\"Add (0,2)=96 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,96],[0,5,38],[0,6,33],[0,7,71],[1,2,47],[1,3,83],[1,4,31],[1,5,77],[2,5,8],[2,6,35],[2,7,77],[3,5,54],[3,6,68],[4,5,89],[4,6,73],[5,6,95],[5,7,82],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=7,(2,5)=8,(1,4)=31,(0,6)=33,(2,6)=35,(0,5)=38,(1,2)=47,(3,5)=54,(3,6)=68,(0,7)=71,(4,6)=73,(0,1)=76,(1,5)=77,(2,7)=77,(5,7)=82,(1,3)=83,(4,5)=89,(5,6)=95,(0,2)=96]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=7 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=15\",\"Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=46\",\"Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=79\",\"Find(2)=2, Find(6)=6, Add (2,6)=35 Succeeded, w=114\",\"Find(0)=2, Find(5)=2, Add (0,5)=38 Failed, w=114\",\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=161\",\"Find(3)=3, Find(5)=2, Add (3,5)=54 Succeeded, w=215\",\"Find(3)=2, Find(6)=2, Add (3,6)=68 Failed, w=215\",\"Find(0)=2, Find(7)=2, Add (0,7)=71 Failed, w=215\",\"Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=215\",\"Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=215\",\"Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=215\",\"Find(2)=2, Find(7)=2, Add (2,7)=77 Failed, w=215\",\"Find(5)=2, Find(7)=2, Add (5,7)=82 Failed, w=215\",\"Find(1)=2, Find(3)=2, Add (1,3)=83 Failed, w=215\",\"Find(4)=2, Find(5)=2, Add (4,5)=89 Failed, w=215\",\"Find(5)=2, Find(6)=2, Add (5,6)=95 Failed, w=215\",\"Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,96],[0,5,38],[0,6,33],[0,7,71],[1,2,47],[1,3,83],[1,4,31],[1,5,77],[2,5,8],[2,6,35],[2,7,77],[3,5,54],[3,6,68],[4,5,89],[4,6,73],[5,6,95],[5,7,82],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=7,(2,5)=8,(1,4)=31,(0,6)=33,(2,6)=35,(0,5)=38,(1,2)=47,(3,5)=54,(3,6)=68,(0,7)=71,(4,6)=73,(0,1)=76,(1,5)=77,(2,7)=77,(5,7)=82,(1,3)=83,(4,5)=89,(5,6)=95,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 6}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6, 7: 6}, Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=46\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=79\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=35 Succeeded, w=114\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(5)=2, Add (0,5)=38 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 6}, Find(3)=3, Find(5)=2, Add (3,5)=54 Succeeded, w=215\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 6}, Find(3)=2, Find(6)=2, Add (3,6)=68 Failed, w=215\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=71 Failed, w=215\",\"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)=73 Failed, w=215\",\"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)=76 Failed, w=215\",\"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)=77 Failed, w=215\",\"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)=77 Failed, w=215\",\"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)=82 Failed, w=215\",\"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)=83 Failed, w=215\",\"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)=89 Failed, w=215\",\"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)=95 Failed, w=215\",\"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)=96 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,4,85],[0,5,49],[1,2,61],[1,3,64],[1,4,9],[2,5,98],[3,4,5],[3,5,8],[4,5,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,85],[0,5,49],[1,2,61],[1,3,64],[1,4,9],[2,5,98],[3,4,5],[3,5,8],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,85],[0,5,49],[1,2,61],[1,3,64],[1,4,9],[2,5,98],[3,4,5],[3,5,8],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,85],[0,5,49],[1,2,61],[1,3,64],[1,4,9],[2,5,98],[3,4,5],[3,5,8],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (3,4)=5, w=7\",\"Add (1,4)=9, w=16\",\"Add (0,5)=49, w=65\",\"Add (1,2)=61, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,85],[0,5,49],[1,2,61],[1,3,64],[1,4,9],[2,5,98],[3,4,5],[3,5,8],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (3,4)=5 Succeeded, w=7\",\"Add (3,5)=8 Failed, w=7\",\"Add (1,4)=9 Succeeded, w=16\",\"Add (0,5)=49 Succeeded, w=65\",\"Add (1,2)=61 Succeeded, w=126\",\"Add (1,3)=64 Failed, w=126\",\"Add (0,1)=65 Failed, w=126\",\"Add (0,4)=85 Failed, w=126\",\"Add (2,5)=98 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,85],[0,5,49],[1,2,61],[1,3,64],[1,4,9],[2,5,98],[3,4,5],[3,5,8],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(3,4)=5,(3,5)=8,(1,4)=9,(0,5)=49,(1,2)=61,(1,3)=64,(0,1)=65,(0,4)=85,(2,5)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=7\",\"Find(3)=4, Find(5)=4, Add (3,5)=8 Failed, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=16\",\"Find(0)=0, Find(5)=4, Add (0,5)=49 Succeeded, w=65\",\"Find(1)=4, Find(2)=2, Add (1,2)=61 Succeeded, w=126\",\"Find(1)=4, Find(3)=4, Add (1,3)=64 Failed, w=126\",\"Find(0)=4, Find(1)=4, Add (0,1)=65 Failed, w=126\",\"Find(0)=4, Find(4)=4, Add (0,4)=85 Failed, w=126\",\"Find(2)=4, Find(5)=4, Add (2,5)=98 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,85],[0,5,49],[1,2,61],[1,3,64],[1,4,9],[2,5,98],[3,4,5],[3,5,8],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(3,4)=5,(3,5)=8,(1,4)=9,(0,5)=49,(1,2)=61,(1,3)=64,(0,1)=65,(0,4)=85,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=8 Failed, w=7\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=16\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=49 Succeeded, w=65\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=2, Add (1,2)=61 Succeeded, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=64 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=65 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=85 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=98 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,67],[0,2,71],[0,3,10],[0,4,7],[0,5,62],[1,2,18],[1,3,31],[1,4,53],[1,5,57],[2,3,50],[2,4,6],[2,5,48],[3,4,57],[3,5,9],[4,5,37]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,71],[0,3,10],[0,4,7],[0,5,62],[1,2,18],[1,3,31],[1,4,53],[1,5,57],[2,3,50],[2,4,6],[2,5,48],[3,4,57],[3,5,9],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,71],[0,3,10],[0,4,7],[0,5,62],[1,2,18],[1,3,31],[1,4,53],[1,5,57],[2,3,50],[2,4,6],[2,5,48],[3,4,57],[3,5,9],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,71],[0,3,10],[0,4,7],[0,5,62],[1,2,18],[1,3,31],[1,4,53],[1,5,57],[2,3,50],[2,4,6],[2,5,48],[3,4,57],[3,5,9],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (0,4)=7, w=13\",\"Add (3,5)=9, w=22\",\"Add (0,3)=10, w=32\",\"Add (1,2)=18, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,71],[0,3,10],[0,4,7],[0,5,62],[1,2,18],[1,3,31],[1,4,53],[1,5,57],[2,3,50],[2,4,6],[2,5,48],[3,4,57],[3,5,9],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (0,4)=7 Succeeded, w=13\",\"Add (3,5)=9 Succeeded, w=22\",\"Add (0,3)=10 Succeeded, w=32\",\"Add (1,2)=18 Succeeded, w=50\",\"Add (1,3)=31 Failed, w=50\",\"Add (4,5)=37 Failed, w=50\",\"Add (2,5)=48 Failed, w=50\",\"Add (2,3)=50 Failed, w=50\",\"Add (1,4)=53 Failed, w=50\",\"Add (1,5)=57 Failed, w=50\",\"Add (3,4)=57 Failed, w=50\",\"Add (0,5)=62 Failed, w=50\",\"Add (0,1)=67 Failed, w=50\",\"Add (0,2)=71 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,71],[0,3,10],[0,4,7],[0,5,62],[1,2,18],[1,3,31],[1,4,53],[1,5,57],[2,3,50],[2,4,6],[2,5,48],[3,4,57],[3,5,9],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,4)=7,(3,5)=9,(0,3)=10,(1,2)=18,(1,3)=31,(4,5)=37,(2,5)=48,(2,3)=50,(1,4)=53,(1,5)=57,(3,4)=57,(0,5)=62,(0,1)=67,(0,2)=71]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(4)=2, Add (0,4)=7 Succeeded, w=13\",\"Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=22\",\"Find(0)=2, Find(3)=3, Add (0,3)=10 Succeeded, w=32\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=50\",\"Find(1)=2, Find(3)=2, Add (1,3)=31 Failed, w=50\",\"Find(4)=2, Find(5)=2, Add (4,5)=37 Failed, w=50\",\"Find(2)=2, Find(5)=2, Add (2,5)=48 Failed, w=50\",\"Find(2)=2, Find(3)=2, Add (2,3)=50 Failed, w=50\",\"Find(1)=2, Find(4)=2, Add (1,4)=53 Failed, w=50\",\"Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=50\",\"Find(3)=2, Find(4)=2, Add (3,4)=57 Failed, w=50\",\"Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=50\",\"Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=50\",\"Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,71],[0,3,10],[0,4,7],[0,5,62],[1,2,18],[1,3,31],[1,4,53],[1,5,57],[2,3,50],[2,4,6],[2,5,48],[3,4,57],[3,5,9],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,4)=7,(3,5)=9,(0,3)=10,(1,2)=18,(1,3)=31,(4,5)=37,(2,5)=48,(2,3)=50,(1,4)=53,(1,5)=57,(3,4)=57,(0,5)=62,(0,1)=67,(0,2)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(4)=2, Add (0,4)=7 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3}, Find(0)=2, Find(3)=3, Add (0,3)=10 Succeeded, w=32\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(1)=2, Find(3)=2, Add (1,3)=31 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=37 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=48 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=50 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=53 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=57 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,22],[0,2,95],[0,3,52],[0,4,5],[1,2,35],[1,3,29],[1,4,58],[2,3,71],[3,4,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,95],[0,3,52],[0,4,5],[1,2,35],[1,3,29],[1,4,58],[2,3,71],[3,4,76]]}",
"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\":[[0,1,22],[0,2,95],[0,3,52],[0,4,5],[1,2,35],[1,3,29],[1,4,58],[2,3,71],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,95],[0,3,52],[0,4,5],[1,2,35],[1,3,29],[1,4,58],[2,3,71],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (0,1)=22, w=27\",\"Add (1,3)=29, w=56\",\"Add (1,2)=35, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,95],[0,3,52],[0,4,5],[1,2,35],[1,3,29],[1,4,58],[2,3,71],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (0,1)=22 Succeeded, w=27\",\"Add (1,3)=29 Succeeded, w=56\",\"Add (1,2)=35 Succeeded, w=91\",\"Add (0,3)=52 Failed, w=91\",\"Add (1,4)=58 Failed, w=91\",\"Add (2,3)=71 Failed, w=91\",\"Add (3,4)=76 Failed, w=91\",\"Add (0,2)=95 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\":[[0,1,22],[0,2,95],[0,3,52],[0,4,5],[1,2,35],[1,3,29],[1,4,58],[2,3,71],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(0,1)=22,(1,3)=29,(1,2)=35,(0,3)=52,(1,4)=58,(2,3)=71,(3,4)=76,(0,2)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=27\",\"Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=56\",\"Find(1)=0, Find(2)=2, Add (1,2)=35 Succeeded, w=91\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=91\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=91\",\"Find(0)=0, Find(2)=0, Add (0,2)=95 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\":[[0,1,22],[0,2,95],[0,3,52],[0,4,5],[1,2,35],[1,3,29],[1,4,58],[2,3,71],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(0,1)=22,(1,3)=29,(1,2)=35,(0,3)=52,(1,4)=58,(2,3)=71,(3,4)=76,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=35 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=95 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,70],[0,2,35],[0,3,74],[0,4,5],[1,2,90],[1,3,39],[1,4,54],[2,3,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,35],[0,3,74],[0,4,5],[1,2,90],[1,3,39],[1,4,54],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,35],[0,3,74],[0,4,5],[1,2,90],[1,3,39],[1,4,54],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,35],[0,3,74],[0,4,5],[1,2,90],[1,3,39],[1,4,54],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (0,4)=5, w=5\",\"Add (0,2)=35, w=40\",\"Add (1,3)=39, w=79\"],\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,35],[0,3,74],[0,4,5],[1,2,90],[1,3,39],[1,4,54],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (0,4)=5 Succeeded, w=5\",\"Add (0,2)=35 Succeeded, w=40\",\"Add (1,3)=39 Succeeded, w=79\",\"Add (1,4)=54 Failed, w=79\",\"Add (0,1)=70 Failed, w=79\",\"Add (0,3)=74 Failed, w=79\",\"Add (1,2)=90 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,35],[0,3,74],[0,4,5],[1,2,90],[1,3,39],[1,4,54],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,4)=5,(0,2)=35,(1,3)=39,(1,4)=54,(0,1)=70,(0,3)=74,(1,2)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=40\",\"Find(1)=1, Find(3)=0, Add (1,3)=39 Succeeded, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=79\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,35],[0,3,74],[0,4,5],[1,2,90],[1,3,39],[1,4,54],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,4)=5,(0,2)=35,(1,3)=39,(1,4)=54,(0,1)=70,(0,3)=74,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=39 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,4,40],[1,4,49],[2,3,23],[2,4,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,40],[1,4,49],[2,3,23],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,40],[1,4,49],[2,3,23],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":207}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,40],[1,4,49],[2,3,23],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23, w=23\",\"Add (0,4)=40, w=63\",\"Add (1,4)=49, w=112\",\"Add (2,4)=95, w=207\"],\"Answer\":207}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,40],[1,4,49],[2,3,23],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23 Succeeded, w=23\",\"Add (0,4)=40 Succeeded, w=63\",\"Add (1,4)=49 Succeeded, w=112\",\"Add (0,1)=79 Failed, w=112\",\"Add (2,4)=95 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,40],[1,4,49],[2,3,23],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(0,4)=40,(1,4)=49,(0,1)=79,(2,4)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(4)=4, Add (0,4)=40 Succeeded, w=63\",\"Find(1)=1, Find(4)=0, Add (1,4)=49 Succeeded, w=112\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=112\",\"Find(2)=2, Find(4)=0, Add (2,4)=95 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,40],[1,4,49],[2,3,23],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(0,4)=40,(1,4)=49,(0,1)=79,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=40 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=49 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=112\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=95 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,52],[0,6,65],[0,7,59],[1,4,20],[1,5,44],[1,7,4],[2,3,22],[2,4,64],[2,5,90],[3,5,64],[3,6,45],[3,7,46],[4,5,88],[4,6,87],[4,7,37],[5,6,47],[5,7,2],[6,7,43]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,6,65],[0,7,59],[1,4,20],[1,5,44],[1,7,4],[2,3,22],[2,4,64],[2,5,90],[3,5,64],[3,6,45],[3,7,46],[4,5,88],[4,6,87],[4,7,37],[5,6,47],[5,7,2],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,6,65],[0,7,59],[1,4,20],[1,5,44],[1,7,4],[2,3,22],[2,4,64],[2,5,90],[3,5,64],[3,6,45],[3,7,46],[4,5,88],[4,6,87],[4,7,37],[5,6,47],[5,7,2],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,7)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (6,7)\",\"Add (3,6)\",\"Add (0,1)\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,6,65],[0,7,59],[1,4,20],[1,5,44],[1,7,4],[2,3,22],[2,4,64],[2,5,90],[3,5,64],[3,6,45],[3,7,46],[4,5,88],[4,6,87],[4,7,37],[5,6,47],[5,7,2],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2, w=2\",\"Add (1,7)=4, w=6\",\"Add (1,4)=20, w=26\",\"Add (2,3)=22, w=48\",\"Add (6,7)=43, w=91\",\"Add (3,6)=45, w=136\",\"Add (0,1)=52, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,6,65],[0,7,59],[1,4,20],[1,5,44],[1,7,4],[2,3,22],[2,4,64],[2,5,90],[3,5,64],[3,6,45],[3,7,46],[4,5,88],[4,6,87],[4,7,37],[5,6,47],[5,7,2],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2 Succeeded, w=2\",\"Add (1,7)=4 Succeeded, w=6\",\"Add (1,4)=20 Succeeded, w=26\",\"Add (2,3)=22 Succeeded, w=48\",\"Add (4,7)=37 Failed, w=48\",\"Add (6,7)=43 Succeeded, w=91\",\"Add (1,5)=44 Failed, w=91\",\"Add (3,6)=45 Succeeded, w=136\",\"Add (3,7)=46 Failed, w=136\",\"Add (5,6)=47 Failed, w=136\",\"Add (0,1)=52 Succeeded, w=188\",\"Add (0,7)=59 Failed, w=188\",\"Add (2,4)=64 Failed, w=188\",\"Add (3,5)=64 Failed, w=188\",\"Add (0,6)=65 Failed, w=188\",\"Add (4,6)=87 Failed, w=188\",\"Add (4,5)=88 Failed, w=188\",\"Add (2,5)=90 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,6,65],[0,7,59],[1,4,20],[1,5,44],[1,7,4],[2,3,22],[2,4,64],[2,5,90],[3,5,64],[3,6,45],[3,7,46],[4,5,88],[4,6,87],[4,7,37],[5,6,47],[5,7,2],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(1,7)=4,(1,4)=20,(2,3)=22,(4,7)=37,(6,7)=43,(1,5)=44,(3,6)=45,(3,7)=46,(5,6)=47,(0,1)=52,(0,7)=59,(2,4)=64,(3,5)=64,(0,6)=65,(4,6)=87,(4,5)=88,(2,5)=90]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Find(1)=1, Find(7)=5, Add (1,7)=4 Succeeded, w=6\",\"Find(1)=5, Find(4)=4, Add (1,4)=20 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=48\",\"Find(4)=5, Find(7)=5, Add (4,7)=37 Failed, w=48\",\"Find(6)=6, Find(7)=5, Add (6,7)=43 Succeeded, w=91\",\"Find(1)=5, Find(5)=5, Add (1,5)=44 Failed, w=91\",\"Find(3)=2, Find(6)=5, Add (3,6)=45 Succeeded, w=136\",\"Find(3)=2, Find(7)=2, Add (3,7)=46 Failed, w=136\",\"Find(5)=2, Find(6)=2, Add (5,6)=47 Failed, w=136\",\"Find(0)=0, Find(1)=2, Add (0,1)=52 Succeeded, w=188\",\"Find(0)=2, Find(7)=2, Add (0,7)=59 Failed, w=188\",\"Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=188\",\"Find(3)=2, Find(5)=2, Add (3,5)=64 Failed, w=188\",\"Find(0)=2, Find(6)=2, Add (0,6)=65 Failed, w=188\",\"Find(4)=2, Find(6)=2, Add (4,6)=87 Failed, w=188\",\"Find(4)=2, Find(5)=2, Add (4,5)=88 Failed, w=188\",\"Find(2)=2, Find(5)=2, Add (2,5)=90 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,6,65],[0,7,59],[1,4,20],[1,5,44],[1,7,4],[2,3,22],[2,4,64],[2,5,90],[3,5,64],[3,6,45],[3,7,46],[4,5,88],[4,6,87],[4,7,37],[5,6,47],[5,7,2],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(1,7)=4,(1,4)=20,(2,3)=22,(4,7)=37,(6,7)=43,(1,5)=44,(3,6)=45,(3,7)=46,(5,6)=47,(0,1)=52,(0,7)=59,(2,4)=64,(3,5)=64,(0,6)=65,(4,6)=87,(4,5)=88,(2,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 5, 5: 5, 6: 6, 7: 5}, Find(1)=5, Find(4)=4, Add (1,4)=20 Succeeded, w=26\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 2, 4: 5, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=48\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 2, 4: 5, 5: 5, 6: 6, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=37 Failed, w=48\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=6, Find(7)=5, Add (6,7)=43 Succeeded, w=91\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=44 Failed, w=91\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 2, 4: 5, 5: 2, 6: 5, 7: 5}, Find(3)=2, Find(6)=5, Add (3,6)=45 Succeeded, w=136\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 2, 4: 5, 5: 2, 6: 5, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=46 Failed, w=136\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=47 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(1)=2, Add (0,1)=52 Succeeded, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=59 Failed, w=188\",\"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)=64 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=64 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=65 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=87 Failed, w=188\",\"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)=88 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=90 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,76],[0,5,44],[0,6,69],[1,2,80],[1,3,4],[2,3,12],[2,4,72],[2,5,34],[2,6,85],[3,4,13],[3,5,64],[5,6,92]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,44],[0,6,69],[1,2,80],[1,3,4],[2,3,12],[2,4,72],[2,5,34],[2,6,85],[3,4,13],[3,5,64],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,44],[0,6,69],[1,2,80],[1,3,4],[2,3,12],[2,4,72],[2,5,34],[2,6,85],[3,4,13],[3,5,64],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (0,6)\"],\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,44],[0,6,69],[1,2,80],[1,3,4],[2,3,12],[2,4,72],[2,5,34],[2,6,85],[3,4,13],[3,5,64],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (2,3)=12, w=16\",\"Add (3,4)=13, w=29\",\"Add (2,5)=34, w=63\",\"Add (0,5)=44, w=107\",\"Add (0,6)=69, w=176\"],\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,44],[0,6,69],[1,2,80],[1,3,4],[2,3,12],[2,4,72],[2,5,34],[2,6,85],[3,4,13],[3,5,64],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (2,3)=12 Succeeded, w=16\",\"Add (3,4)=13 Succeeded, w=29\",\"Add (2,5)=34 Succeeded, w=63\",\"Add (0,5)=44 Succeeded, w=107\",\"Add (3,5)=64 Failed, w=107\",\"Add (0,6)=69 Succeeded, w=176\",\"Add (2,4)=72 Failed, w=176\",\"Add (0,3)=76 Failed, w=176\",\"Add (1,2)=80 Failed, w=176\",\"Add (2,6)=85 Failed, w=176\",\"Add (5,6)=92 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,44],[0,6,69],[1,2,80],[1,3,4],[2,3,12],[2,4,72],[2,5,34],[2,6,85],[3,4,13],[3,5,64],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,3)=12,(3,4)=13,(2,5)=34,(0,5)=44,(3,5)=64,(0,6)=69,(2,4)=72,(0,3)=76,(1,2)=80,(2,6)=85,(5,6)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=1, Add (2,3)=12 Succeeded, w=16\",\"Find(3)=1, Find(4)=4, Add (3,4)=13 Succeeded, w=29\",\"Find(2)=1, Find(5)=5, Add (2,5)=34 Succeeded, w=63\",\"Find(0)=0, Find(5)=1, Add (0,5)=44 Succeeded, w=107\",\"Find(3)=1, Find(5)=1, Add (3,5)=64 Failed, w=107\",\"Find(0)=1, Find(6)=6, Add (0,6)=69 Succeeded, w=176\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=176\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=176\",\"Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=176\",\"Find(2)=1, Find(6)=1, Add (2,6)=85 Failed, w=176\",\"Find(5)=1, Find(6)=1, Add (5,6)=92 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,5,44],[0,6,69],[1,2,80],[1,3,4],[2,3,12],[2,4,72],[2,5,34],[2,6,85],[3,4,13],[3,5,64],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,3)=12,(3,4)=13,(2,5)=34,(0,5)=44,(3,5)=64,(0,6)=69,(2,4)=72,(0,3)=76,(1,2)=80,(2,6)=85,(5,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=1, Add (2,3)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(3)=1, Find(4)=4, Add (3,4)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(5)=5, Add (2,5)=34 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(0)=0, Find(5)=1, Add (0,5)=44 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(3)=1, Find(5)=1, Add (3,5)=64 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=6, Add (0,6)=69 Succeeded, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=85 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=92 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,30],[0,2,36],[0,3,66],[0,4,12],[0,5,53],[1,2,85],[1,3,83],[1,5,76],[2,3,99],[2,4,70],[2,5,84],[2,6,11],[3,4,90],[3,5,2],[3,6,80],[4,5,82],[4,6,60]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,36],[0,3,66],[0,4,12],[0,5,53],[1,2,85],[1,3,83],[1,5,76],[2,3,99],[2,4,70],[2,5,84],[2,6,11],[3,4,90],[3,5,2],[3,6,80],[4,5,82],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,36],[0,3,66],[0,4,12],[0,5,53],[1,2,85],[1,3,83],[1,5,76],[2,3,99],[2,4,70],[2,5,84],[2,6,11],[3,4,90],[3,5,2],[3,6,80],[4,5,82],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (0,5)\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,36],[0,3,66],[0,4,12],[0,5,53],[1,2,85],[1,3,83],[1,5,76],[2,3,99],[2,4,70],[2,5,84],[2,6,11],[3,4,90],[3,5,2],[3,6,80],[4,5,82],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (2,6)=11, w=13\",\"Add (0,4)=12, w=25\",\"Add (0,1)=30, w=55\",\"Add (0,2)=36, w=91\",\"Add (0,5)=53, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,36],[0,3,66],[0,4,12],[0,5,53],[1,2,85],[1,3,83],[1,5,76],[2,3,99],[2,4,70],[2,5,84],[2,6,11],[3,4,90],[3,5,2],[3,6,80],[4,5,82],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (2,6)=11 Succeeded, w=13\",\"Add (0,4)=12 Succeeded, w=25\",\"Add (0,1)=30 Succeeded, w=55\",\"Add (0,2)=36 Succeeded, w=91\",\"Add (0,5)=53 Succeeded, w=144\",\"Add (4,6)=60 Failed, w=144\",\"Add (0,3)=66 Failed, w=144\",\"Add (2,4)=70 Failed, w=144\",\"Add (1,5)=76 Failed, w=144\",\"Add (3,6)=80 Failed, w=144\",\"Add (4,5)=82 Failed, w=144\",\"Add (1,3)=83 Failed, w=144\",\"Add (2,5)=84 Failed, w=144\",\"Add (1,2)=85 Failed, w=144\",\"Add (3,4)=90 Failed, w=144\",\"Add (2,3)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,36],[0,3,66],[0,4,12],[0,5,53],[1,2,85],[1,3,83],[1,5,76],[2,3,99],[2,4,70],[2,5,84],[2,6,11],[3,4,90],[3,5,2],[3,6,80],[4,5,82],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(2,6)=11,(0,4)=12,(0,1)=30,(0,2)=36,(0,5)=53,(4,6)=60,(0,3)=66,(2,4)=70,(1,5)=76,(3,6)=80,(4,5)=82,(1,3)=83,(2,5)=84,(1,2)=85,(3,4)=90,(2,3)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=55\",\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=91\",\"Find(0)=0, Find(5)=3, Add (0,5)=53 Succeeded, w=144\",\"Find(4)=0, Find(6)=0, Add (4,6)=60 Failed, w=144\",\"Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=144\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=144\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=144\",\"Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=144\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=144\",\"Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=144\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=144\",\"Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=144\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,36],[0,3,66],[0,4,12],[0,5,53],[1,2,85],[1,3,83],[1,5,76],[2,3,99],[2,4,70],[2,5,84],[2,6,11],[3,4,90],[3,5,2],[3,6,80],[4,5,82],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(2,6)=11,(0,4)=12,(0,1)=30,(0,2)=36,(0,5)=53,(4,6)=60,(0,3)=66,(2,4)=70,(1,5)=76,(3,6)=80,(4,5)=82,(1,3)=83,(2,5)=84,(1,2)=85,(3,4)=90,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 2}, Find(0)=0, Find(5)=3, Add (0,5)=53 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=60 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=144\",\"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=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,16],[0,2,25],[0,3,59],[1,3,94],[2,3,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,25],[0,3,59],[1,3,94],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,25],[0,3,59],[1,3,94],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,25],[0,3,59],[1,3,94],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (0,2)=25, w=41\",\"Add (0,3)=59, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,25],[0,3,59],[1,3,94],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (0,2)=25 Succeeded, w=41\",\"Add (0,3)=59 Succeeded, w=100\",\"Add (2,3)=88 Failed, w=100\",\"Add (1,3)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,25],[0,3,59],[1,3,94],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(0,2)=25,(0,3)=59,(2,3)=88,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=41\",\"Find(0)=0, Find(3)=3, Add (0,3)=59 Succeeded, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=100\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,25],[0,3,59],[1,3,94],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(0,2)=25,(0,3)=59,(2,3)=88,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=59 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,26],[0,4,74],[0,5,85],[1,3,26],[1,5,7],[1,6,41],[1,7,43],[2,3,8],[2,4,9],[2,5,34],[3,6,33],[3,7,42],[4,5,92],[4,6,11],[4,7,11],[5,6,48],[5,7,64],[6,7,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,4,74],[0,5,85],[1,3,26],[1,5,7],[1,6,41],[1,7,43],[2,3,8],[2,4,9],[2,5,34],[3,6,33],[3,7,42],[4,5,92],[4,6,11],[4,7,11],[5,6,48],[5,7,64],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,4,74],[0,5,85],[1,3,26],[1,5,7],[1,6,41],[1,7,43],[2,3,8],[2,4,9],[2,5,34],[3,6,33],[3,7,42],[4,5,92],[4,6,11],[4,7,11],[5,6,48],[5,7,64],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,4,74],[0,5,85],[1,3,26],[1,5,7],[1,6,41],[1,7,43],[2,3,8],[2,4,9],[2,5,34],[3,6,33],[3,7,42],[4,5,92],[4,6,11],[4,7,11],[5,6,48],[5,7,64],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (2,3)=8, w=15\",\"Add (2,4)=9, w=24\",\"Add (4,6)=11, w=35\",\"Add (4,7)=11, w=46\",\"Add (0,2)=26, w=72\",\"Add (1,3)=26, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,4,74],[0,5,85],[1,3,26],[1,5,7],[1,6,41],[1,7,43],[2,3,8],[2,4,9],[2,5,34],[3,6,33],[3,7,42],[4,5,92],[4,6,11],[4,7,11],[5,6,48],[5,7,64],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (2,3)=8 Succeeded, w=15\",\"Add (2,4)=9 Succeeded, w=24\",\"Add (4,6)=11 Succeeded, w=35\",\"Add (4,7)=11 Succeeded, w=46\",\"Add (0,2)=26 Succeeded, w=72\",\"Add (1,3)=26 Succeeded, w=98\",\"Add (3,6)=33 Failed, w=98\",\"Add (2,5)=34 Failed, w=98\",\"Add (6,7)=38 Failed, w=98\",\"Add (1,6)=41 Failed, w=98\",\"Add (3,7)=42 Failed, w=98\",\"Add (1,7)=43 Failed, w=98\",\"Add (5,6)=48 Failed, w=98\",\"Add (5,7)=64 Failed, w=98\",\"Add (0,4)=74 Failed, w=98\",\"Add (0,5)=85 Failed, w=98\",\"Add (4,5)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,4,74],[0,5,85],[1,3,26],[1,5,7],[1,6,41],[1,7,43],[2,3,8],[2,4,9],[2,5,34],[3,6,33],[3,7,42],[4,5,92],[4,6,11],[4,7,11],[5,6,48],[5,7,64],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(2,3)=8,(2,4)=9,(4,6)=11,(4,7)=11,(0,2)=26,(1,3)=26,(3,6)=33,(2,5)=34,(6,7)=38,(1,6)=41,(3,7)=42,(1,7)=43,(5,6)=48,(5,7)=64,(0,4)=74,(0,5)=85,(4,5)=92]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=24\",\"Find(4)=2, Find(6)=6, Add (4,6)=11 Succeeded, w=35\",\"Find(4)=2, Find(7)=7, Add (4,7)=11 Succeeded, w=46\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=72\",\"Find(1)=1, Find(3)=2, Add (1,3)=26 Succeeded, w=98\",\"Find(3)=1, Find(6)=1, Add (3,6)=33 Failed, w=98\",\"Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=98\",\"Find(6)=1, Find(7)=1, Add (6,7)=38 Failed, w=98\",\"Find(1)=1, Find(6)=1, Add (1,6)=41 Failed, w=98\",\"Find(3)=1, Find(7)=1, Add (3,7)=42 Failed, w=98\",\"Find(1)=1, Find(7)=1, Add (1,7)=43 Failed, w=98\",\"Find(5)=1, Find(6)=1, Add (5,6)=48 Failed, w=98\",\"Find(5)=1, Find(7)=1, Add (5,7)=64 Failed, w=98\",\"Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=98\",\"Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=98\",\"Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,4,74],[0,5,85],[1,3,26],[1,5,7],[1,6,41],[1,7,43],[2,3,8],[2,4,9],[2,5,34],[3,6,33],[3,7,42],[4,5,92],[4,6,11],[4,7,11],[5,6,48],[5,7,64],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(2,3)=8,(2,4)=9,(4,6)=11,(4,7)=11,(0,2)=26,(1,3)=26,(3,6)=33,(2,5)=34,(6,7)=38,(1,6)=41,(3,7)=42,(1,7)=43,(5,6)=48,(5,7)=64,(0,4)=74,(0,5)=85,(4,5)=92]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 7}, Find(4)=2, Find(6)=6, Add (4,6)=11 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(4)=2, Find(7)=7, Add (4,7)=11 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=72\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(1)=1, Find(3)=2, Add (1,3)=26 Succeeded, w=98\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(6)=1, Add (3,6)=33 Failed, w=98\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=98\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=38 Failed, w=98\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=41 Failed, w=98\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=42 Failed, w=98\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=43 Failed, w=98\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=48 Failed, w=98\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=64 Failed, w=98\",\"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)=74 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[0,3,79],[2,3,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,79],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":265}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,79],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":265}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,79],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=79, w=79\",\"Add (2,3)=88, w=167\",\"Add (0,1)=98, w=265\"],\"Answer\":265}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,79],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=79 Succeeded, w=79\",\"Add (2,3)=88 Succeeded, w=167\",\"Add (0,1)=98 Succeeded, w=265\"],\"Answer\":265}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,79],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=79,(2,3)=88,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=79 Succeeded, w=79\",\"Find(2)=2, Find(3)=0, Add (2,3)=88 Succeeded, w=167\",\"Find(0)=0, Find(1)=1, Add (0,1)=98 Succeeded, w=265\"],\"Answer\":265}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,79],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=79,(2,3)=88,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=79 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=88 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=98 Succeeded, w=265\"],\"Answer\":265}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,72],[0,3,65],[0,5,65],[0,7,9],[1,2,70],[1,5,18],[1,6,62],[1,7,24],[2,4,32],[2,6,55],[3,4,21],[3,5,72],[3,6,81],[3,7,35],[4,5,50],[5,7,80]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,3,65],[0,5,65],[0,7,9],[1,2,70],[1,5,18],[1,6,62],[1,7,24],[2,4,32],[2,6,55],[3,4,21],[3,5,72],[3,6,81],[3,7,35],[4,5,50],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,3,65],[0,5,65],[0,7,9],[1,2,70],[1,5,18],[1,6,62],[1,7,24],[2,4,32],[2,6,55],[3,4,21],[3,5,72],[3,6,81],[3,7,35],[4,5,50],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (3,7)\",\"Add (2,6)\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,3,65],[0,5,65],[0,7,9],[1,2,70],[1,5,18],[1,6,62],[1,7,24],[2,4,32],[2,6,55],[3,4,21],[3,5,72],[3,6,81],[3,7,35],[4,5,50],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=9, w=9\",\"Add (1,5)=18, w=27\",\"Add (3,4)=21, w=48\",\"Add (1,7)=24, w=72\",\"Add (2,4)=32, w=104\",\"Add (3,7)=35, w=139\",\"Add (2,6)=55, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,3,65],[0,5,65],[0,7,9],[1,2,70],[1,5,18],[1,6,62],[1,7,24],[2,4,32],[2,6,55],[3,4,21],[3,5,72],[3,6,81],[3,7,35],[4,5,50],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=9 Succeeded, w=9\",\"Add (1,5)=18 Succeeded, w=27\",\"Add (3,4)=21 Succeeded, w=48\",\"Add (1,7)=24 Succeeded, w=72\",\"Add (2,4)=32 Succeeded, w=104\",\"Add (3,7)=35 Succeeded, w=139\",\"Add (4,5)=50 Failed, w=139\",\"Add (2,6)=55 Succeeded, w=194\",\"Add (1,6)=62 Failed, w=194\",\"Add (0,3)=65 Failed, w=194\",\"Add (0,5)=65 Failed, w=194\",\"Add (1,2)=70 Failed, w=194\",\"Add (0,1)=72 Failed, w=194\",\"Add (3,5)=72 Failed, w=194\",\"Add (5,7)=80 Failed, w=194\",\"Add (3,6)=81 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,3,65],[0,5,65],[0,7,9],[1,2,70],[1,5,18],[1,6,62],[1,7,24],[2,4,32],[2,6,55],[3,4,21],[3,5,72],[3,6,81],[3,7,35],[4,5,50],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=9,(1,5)=18,(3,4)=21,(1,7)=24,(2,4)=32,(3,7)=35,(4,5)=50,(2,6)=55,(1,6)=62,(0,3)=65,(0,5)=65,(1,2)=70,(0,1)=72,(3,5)=72,(5,7)=80,(3,6)=81]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=9\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=27\",\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=48\",\"Find(1)=1, Find(7)=0, Add (1,7)=24 Succeeded, w=72\",\"Find(2)=2, Find(4)=3, Add (2,4)=32 Succeeded, w=104\",\"Find(3)=3, Find(7)=1, Add (3,7)=35 Succeeded, w=139\",\"Find(4)=1, Find(5)=1, Add (4,5)=50 Failed, w=139\",\"Find(2)=1, Find(6)=6, Add (2,6)=55 Succeeded, w=194\",\"Find(1)=1, Find(6)=1, Add (1,6)=62 Failed, w=194\",\"Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=194\",\"Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=194\",\"Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=194\",\"Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=194\",\"Find(3)=1, Find(5)=1, Add (3,5)=72 Failed, w=194\",\"Find(5)=1, Find(7)=1, Add (5,7)=80 Failed, w=194\",\"Find(3)=1, Find(6)=1, Add (3,6)=81 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,3,65],[0,5,65],[0,7,9],[1,2,70],[1,5,18],[1,6,62],[1,7,24],[2,4,32],[2,6,55],[3,4,21],[3,5,72],[3,6,81],[3,7,35],[4,5,50],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=9,(1,5)=18,(3,4)=21,(1,7)=24,(2,4)=32,(3,7)=35,(4,5)=50,(2,6)=55,(1,6)=62,(0,3)=65,(0,5)=65,(1,2)=70,(0,1)=72,(3,5)=72,(5,7)=80,(3,6)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 6, 7: 0}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=24 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 6, 7: 0}, Find(2)=2, Find(4)=3, Add (2,4)=32 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1, 6: 6, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=35 Succeeded, w=139\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=50 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=55 Succeeded, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=62 Failed, w=194\",\"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)=65 Failed, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=194\",\"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)=70 Failed, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=194\",\"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)=72 Failed, w=194\",\"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)=80 Failed, w=194\",\"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)=81 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,94],[0,3,3],[1,2,77],[1,3,68],[2,3,65]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,94],[0,3,3],[1,2,77],[1,3,68],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,94],[0,3,3],[1,2,77],[1,3,68],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,94],[0,3,3],[1,2,77],[1,3,68],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,1)=45, w=48\",\"Add (2,3)=65, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,94],[0,3,3],[1,2,77],[1,3,68],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,1)=45 Succeeded, w=48\",\"Add (2,3)=65 Succeeded, w=113\",\"Add (1,3)=68 Failed, w=113\",\"Add (1,2)=77 Failed, w=113\",\"Add (0,2)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,94],[0,3,3],[1,2,77],[1,3,68],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,1)=45,(2,3)=65,(1,3)=68,(1,2)=77,(0,2)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=48\",\"Find(2)=2, Find(3)=0, Add (2,3)=65 Succeeded, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=113\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=113\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,94],[0,3,3],[1,2,77],[1,3,68],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,1)=45,(2,3)=65,(1,3)=68,(1,2)=77,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=65 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,14],[0,2,26],[0,3,37],[0,4,49],[0,5,94],[1,2,31],[1,3,85],[1,4,85],[1,5,75],[2,3,77],[2,4,65],[2,5,11],[3,4,19],[3,5,61],[4,5,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,26],[0,3,37],[0,4,49],[0,5,94],[1,2,31],[1,3,85],[1,4,85],[1,5,75],[2,3,77],[2,4,65],[2,5,11],[3,4,19],[3,5,61],[4,5,88]]}",
"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],\"edges\":[[0,1,14],[0,2,26],[0,3,37],[0,4,49],[0,5,94],[1,2,31],[1,3,85],[1,4,85],[1,5,75],[2,3,77],[2,4,65],[2,5,11],[3,4,19],[3,5,61],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,26],[0,3,37],[0,4,49],[0,5,94],[1,2,31],[1,3,85],[1,4,85],[1,5,75],[2,3,77],[2,4,65],[2,5,11],[3,4,19],[3,5,61],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (0,1)=14, w=25\",\"Add (3,4)=19, w=44\",\"Add (0,2)=26, w=70\",\"Add (0,3)=37, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,26],[0,3,37],[0,4,49],[0,5,94],[1,2,31],[1,3,85],[1,4,85],[1,5,75],[2,3,77],[2,4,65],[2,5,11],[3,4,19],[3,5,61],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (0,1)=14 Succeeded, w=25\",\"Add (3,4)=19 Succeeded, w=44\",\"Add (0,2)=26 Succeeded, w=70\",\"Add (1,2)=31 Failed, w=70\",\"Add (0,3)=37 Succeeded, w=107\",\"Add (0,4)=49 Failed, w=107\",\"Add (3,5)=61 Failed, w=107\",\"Add (2,4)=65 Failed, w=107\",\"Add (1,5)=75 Failed, w=107\",\"Add (2,3)=77 Failed, w=107\",\"Add (1,3)=85 Failed, w=107\",\"Add (1,4)=85 Failed, w=107\",\"Add (4,5)=88 Failed, w=107\",\"Add (0,5)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,26],[0,3,37],[0,4,49],[0,5,94],[1,2,31],[1,3,85],[1,4,85],[1,5,75],[2,3,77],[2,4,65],[2,5,11],[3,4,19],[3,5,61],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(0,1)=14,(3,4)=19,(0,2)=26,(1,2)=31,(0,3)=37,(0,4)=49,(3,5)=61,(2,4)=65,(1,5)=75,(2,3)=77,(1,3)=85,(1,4)=85,(4,5)=88,(0,5)=94]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=25\",\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=44\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=70\",\"Find(1)=0, Find(2)=0, Add (1,2)=31 Failed, w=70\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=107\",\"Find(0)=0, Find(4)=0, Add (0,4)=49 Failed, w=107\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=107\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=107\",\"Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=107\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=107\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=107\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=107\",\"Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=107\",\"Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,26],[0,3,37],[0,4,49],[0,5,94],[1,2,31],[1,3,85],[1,4,85],[1,5,75],[2,3,77],[2,4,65],[2,5,11],[3,4,19],[3,5,61],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(0,1)=14,(3,4)=19,(0,2)=26,(1,2)=31,(0,3)=37,(0,4)=49,(3,5)=61,(2,4)=65,(1,5)=75,(2,3)=77,(1,3)=85,(1,4)=85,(4,5)=88,(0,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=31 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=0, Add (0,4)=49 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,86],[0,3,57],[1,2,84]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,3,57],[1,2,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":227}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,3,57],[1,2,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":227}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,3,57],[1,2,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=57, w=57\",\"Add (1,2)=84, w=141\",\"Add (0,1)=86, w=227\"],\"Answer\":227}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,3,57],[1,2,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=57 Succeeded, w=57\",\"Add (1,2)=84 Succeeded, w=141\",\"Add (0,1)=86 Succeeded, w=227\"],\"Answer\":227}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,3,57],[1,2,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=57,(1,2)=84,(0,1)=86]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=57\",\"Find(1)=1, Find(2)=2, Add (1,2)=84 Succeeded, w=141\",\"Find(0)=0, Find(1)=1, Add (0,1)=86 Succeeded, w=227\"],\"Answer\":227}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,3,57],[1,2,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=57,(1,2)=84,(0,1)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=84 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=86 Succeeded, w=227\"],\"Answer\":227}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,1],[0,3,39],[0,4,61],[0,5,46],[1,2,56],[1,3,76],[1,4,57],[1,5,58],[2,3,47],[2,4,40],[2,5,87],[3,4,46],[3,5,63],[4,5,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,3,39],[0,4,61],[0,5,46],[1,2,56],[1,3,76],[1,4,57],[1,5,58],[2,3,47],[2,4,40],[2,5,87],[3,4,46],[3,5,63],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,3,39],[0,4,61],[0,5,46],[1,2,56],[1,3,76],[1,4,57],[1,5,58],[2,3,47],[2,4,40],[2,5,87],[3,4,46],[3,5,63],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,3,39],[0,4,61],[0,5,46],[1,2,56],[1,3,76],[1,4,57],[1,5,58],[2,3,47],[2,4,40],[2,5,87],[3,4,46],[3,5,63],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,3)=39, w=40\",\"Add (2,4)=40, w=80\",\"Add (0,5)=46, w=126\",\"Add (1,2)=56, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,3,39],[0,4,61],[0,5,46],[1,2,56],[1,3,76],[1,4,57],[1,5,58],[2,3,47],[2,4,40],[2,5,87],[3,4,46],[3,5,63],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,3)=39 Succeeded, w=40\",\"Add (2,4)=40 Succeeded, w=80\",\"Add (0,5)=46 Succeeded, w=126\",\"Add (3,4)=46 Failed, w=126\",\"Add (2,3)=47 Failed, w=126\",\"Add (4,5)=48 Failed, w=126\",\"Add (1,2)=56 Succeeded, w=182\",\"Add (1,4)=57 Failed, w=182\",\"Add (1,5)=58 Failed, w=182\",\"Add (0,4)=61 Failed, w=182\",\"Add (3,5)=63 Failed, w=182\",\"Add (1,3)=76 Failed, w=182\",\"Add (2,5)=87 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,3,39],[0,4,61],[0,5,46],[1,2,56],[1,3,76],[1,4,57],[1,5,58],[2,3,47],[2,4,40],[2,5,87],[3,4,46],[3,5,63],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,3)=39,(2,4)=40,(0,5)=46,(3,4)=46,(2,3)=47,(4,5)=48,(1,2)=56,(1,4)=57,(1,5)=58,(0,4)=61,(3,5)=63,(1,3)=76,(2,5)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=40\",\"Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=80\",\"Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=126\",\"Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=126\",\"Find(4)=0, Find(5)=0, Add (4,5)=48 Failed, w=126\",\"Find(1)=1, Find(2)=0, Add (1,2)=56 Succeeded, w=182\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=182\",\"Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=182\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=182\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=182\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=182\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,1],[0,3,39],[0,4,61],[0,5,46],[1,2,56],[1,3,76],[1,4,57],[1,5,58],[2,3,47],[2,4,40],[2,5,87],[3,4,46],[3,5,63],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,3)=39,(2,4)=40,(0,5)=46,(3,4)=46,(2,3)=47,(4,5)=48,(1,2)=56,(1,4)=57,(1,5)=58,(0,4)=61,(3,5)=63,(1,3)=76,(2,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=126\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=126\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=126\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=48 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=56 Succeeded, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,20],[0,4,62],[1,2,0],[1,3,88],[2,3,18],[2,4,99],[3,4,94]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,4,62],[1,2,0],[1,3,88],[2,3,18],[2,4,99],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,4,62],[1,2,0],[1,3,88],[2,3,18],[2,4,99],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,4,62],[1,2,0],[1,3,88],[2,3,18],[2,4,99],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (2,3)=18, w=18\",\"Add (0,2)=20, w=38\",\"Add (0,4)=62, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,4,62],[1,2,0],[1,3,88],[2,3,18],[2,4,99],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (2,3)=18 Succeeded, w=18\",\"Add (0,2)=20 Succeeded, w=38\",\"Add (0,4)=62 Succeeded, w=100\",\"Add (1,3)=88 Failed, w=100\",\"Add (3,4)=94 Failed, w=100\",\"Add (2,4)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,4,62],[1,2,0],[1,3,88],[2,3,18],[2,4,99],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(2,3)=18,(0,2)=20,(0,4)=62,(1,3)=88,(3,4)=94,(2,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(2)=1, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=38\",\"Find(0)=1, Find(4)=4, Add (0,4)=62 Succeeded, w=100\",\"Find(1)=1, Find(3)=1, Add (1,3)=88 Failed, w=100\",\"Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=100\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,4,62],[1,2,0],[1,3,88],[2,3,18],[2,4,99],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(2,3)=18,(0,2)=20,(0,4)=62,(1,3)=88,(3,4)=94,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=62 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=88 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[0,2,82],[0,3,13],[1,2,57],[1,3,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,82],[0,3,13],[1,2,57],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,82],[0,3,13],[1,2,57],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,82],[0,3,13],[1,2,57],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,3)=13, w=15\",\"Add (1,2)=57, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,82],[0,3,13],[1,2,57],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,3)=13 Succeeded, w=15\",\"Add (1,2)=57 Succeeded, w=72\",\"Add (0,2)=82 Failed, w=72\",\"Add (0,1)=87 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,82],[0,3,13],[1,2,57],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,3)=13,(1,2)=57,(0,2)=82,(0,1)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=57 Succeeded, w=72\",\"Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=72\",\"Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,82],[0,3,13],[1,2,57],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,3)=13,(1,2)=57,(0,2)=82,(0,1)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=57 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,53],[0,3,49],[2,3,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,53],[0,3,49],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,53],[0,3,49],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,53],[0,3,49],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=42, w=42\",\"Add (0,1)=44, w=86\",\"Add (0,3)=49, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,53],[0,3,49],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=42 Succeeded, w=42\",\"Add (0,1)=44 Succeeded, w=86\",\"Add (0,3)=49 Succeeded, w=135\",\"Add (0,2)=53 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,53],[0,3,49],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=42,(0,1)=44,(0,3)=49,(0,2)=53]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=42 Succeeded, w=42\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=86\",\"Find(0)=0, Find(3)=2, Add (0,3)=49 Succeeded, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,53],[0,3,49],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=42,(0,1)=44,(0,3)=49,(0,2)=53]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=49 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,8],[0,2,77],[0,4,53],[0,5,92],[0,6,8],[0,7,87],[1,2,50],[1,3,34],[1,5,73],[1,6,23],[1,7,41],[2,3,89],[2,4,90],[2,6,95],[2,7,95],[3,4,16],[3,5,2],[3,6,81],[3,7,82],[4,5,60],[4,6,38],[4,7,63],[5,7,84],[6,7,1]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,77],[0,4,53],[0,5,92],[0,6,8],[0,7,87],[1,2,50],[1,3,34],[1,5,73],[1,6,23],[1,7,41],[2,3,89],[2,4,90],[2,6,95],[2,7,95],[3,4,16],[3,5,2],[3,6,81],[3,7,82],[4,5,60],[4,6,38],[4,7,63],[5,7,84],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,77],[0,4,53],[0,5,92],[0,6,8],[0,7,87],[1,2,50],[1,3,34],[1,5,73],[1,6,23],[1,7,41],[2,3,89],[2,4,90],[2,6,95],[2,7,95],[3,4,16],[3,5,2],[3,6,81],[3,7,82],[4,5,60],[4,6,38],[4,7,63],[5,7,84],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,77],[0,4,53],[0,5,92],[0,6,8],[0,7,87],[1,2,50],[1,3,34],[1,5,73],[1,6,23],[1,7,41],[2,3,89],[2,4,90],[2,6,95],[2,7,95],[3,4,16],[3,5,2],[3,6,81],[3,7,82],[4,5,60],[4,6,38],[4,7,63],[5,7,84],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=1, w=1\",\"Add (3,5)=2, w=3\",\"Add (0,1)=8, w=11\",\"Add (0,6)=8, w=19\",\"Add (3,4)=16, w=35\",\"Add (1,3)=34, w=69\",\"Add (1,2)=50, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,77],[0,4,53],[0,5,92],[0,6,8],[0,7,87],[1,2,50],[1,3,34],[1,5,73],[1,6,23],[1,7,41],[2,3,89],[2,4,90],[2,6,95],[2,7,95],[3,4,16],[3,5,2],[3,6,81],[3,7,82],[4,5,60],[4,6,38],[4,7,63],[5,7,84],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=1 Succeeded, w=1\",\"Add (3,5)=2 Succeeded, w=3\",\"Add (0,1)=8 Succeeded, w=11\",\"Add (0,6)=8 Succeeded, w=19\",\"Add (3,4)=16 Succeeded, w=35\",\"Add (1,6)=23 Failed, w=35\",\"Add (1,3)=34 Succeeded, w=69\",\"Add (4,6)=38 Failed, w=69\",\"Add (1,7)=41 Failed, w=69\",\"Add (1,2)=50 Succeeded, w=119\",\"Add (0,4)=53 Failed, w=119\",\"Add (4,5)=60 Failed, w=119\",\"Add (4,7)=63 Failed, w=119\",\"Add (1,5)=73 Failed, w=119\",\"Add (0,2)=77 Failed, w=119\",\"Add (3,6)=81 Failed, w=119\",\"Add (3,7)=82 Failed, w=119\",\"Add (5,7)=84 Failed, w=119\",\"Add (0,7)=87 Failed, w=119\",\"Add (2,3)=89 Failed, w=119\",\"Add (2,4)=90 Failed, w=119\",\"Add (0,5)=92 Failed, w=119\",\"Add (2,6)=95 Failed, w=119\",\"Add (2,7)=95 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,77],[0,4,53],[0,5,92],[0,6,8],[0,7,87],[1,2,50],[1,3,34],[1,5,73],[1,6,23],[1,7,41],[2,3,89],[2,4,90],[2,6,95],[2,7,95],[3,4,16],[3,5,2],[3,6,81],[3,7,82],[4,5,60],[4,6,38],[4,7,63],[5,7,84],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=1,(3,5)=2,(0,1)=8,(0,6)=8,(3,4)=16,(1,6)=23,(1,3)=34,(4,6)=38,(1,7)=41,(1,2)=50,(0,4)=53,(4,5)=60,(4,7)=63,(1,5)=73,(0,2)=77,(3,6)=81,(3,7)=82,(5,7)=84,(0,7)=87,(2,3)=89,(2,4)=90,(0,5)=92,(2,6)=95,(2,7)=95]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=11\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=35\",\"Find(1)=0, Find(6)=0, Add (1,6)=23 Failed, w=35\",\"Find(1)=0, Find(3)=3, Add (1,3)=34 Succeeded, w=69\",\"Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=69\",\"Find(1)=0, Find(7)=0, Add (1,7)=41 Failed, w=69\",\"Find(1)=0, Find(2)=2, Add (1,2)=50 Succeeded, w=119\",\"Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=119\",\"Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=119\",\"Find(4)=0, Find(7)=0, Add (4,7)=63 Failed, w=119\",\"Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=119\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=119\",\"Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=119\",\"Find(3)=0, Find(7)=0, Add (3,7)=82 Failed, w=119\",\"Find(5)=0, Find(7)=0, Add (5,7)=84 Failed, w=119\",\"Find(0)=0, Find(7)=0, Add (0,7)=87 Failed, w=119\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=119\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=119\",\"Find(0)=0, Find(5)=0, Add (0,5)=92 Failed, w=119\",\"Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=119\",\"Find(2)=0, Find(7)=0, Add (2,7)=95 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,77],[0,4,53],[0,5,92],[0,6,8],[0,7,87],[1,2,50],[1,3,34],[1,5,73],[1,6,23],[1,7,41],[2,3,89],[2,4,90],[2,6,95],[2,7,95],[3,4,16],[3,5,2],[3,6,81],[3,7,82],[4,5,60],[4,6,38],[4,7,63],[5,7,84],[6,7,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=1,(3,5)=2,(0,1)=8,(0,6)=8,(3,4)=16,(1,6)=23,(1,3)=34,(4,6)=38,(1,7)=41,(1,2)=50,(0,4)=53,(4,5)=60,(4,7)=63,(1,5)=73,(0,2)=77,(3,6)=81,(3,7)=82,(5,7)=84,(0,7)=87,(2,3)=89,(2,4)=90,(0,5)=92,(2,6)=95,(2,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0, 7: 6}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0, 7: 6}, Find(1)=0, Find(6)=0, Add (1,6)=23 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 3, 6: 0, 7: 6}, Find(1)=0, Find(3)=3, Add (1,3)=34 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 0, 7: 6}, Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=41 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=50 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=119\",\"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)=63 Failed, w=119\",\"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)=73 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=119\",\"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)=81 Failed, w=119\",\"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)=82 Failed, w=119\",\"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)=84 Failed, w=119\",\"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)=87 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=119\",\"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)=90 Failed, w=119\",\"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)=92 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=95 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,41],[0,3,55],[1,2,7],[1,3,17],[2,3,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,55],[1,2,7],[1,3,17],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,55],[1,2,7],[1,3,17],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,55],[1,2,7],[1,3,17],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (2,3)=11, w=18\",\"Add (0,2)=41, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,55],[1,2,7],[1,3,17],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (2,3)=11 Succeeded, w=18\",\"Add (1,3)=17 Failed, w=18\",\"Add (0,2)=41 Succeeded, w=59\",\"Add (0,3)=55 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,55],[1,2,7],[1,3,17],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(2,3)=11,(1,3)=17,(0,2)=41,(0,3)=55]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(2)=1, Find(3)=3, Add (2,3)=11 Succeeded, w=18\",\"Find(1)=1, Find(3)=1, Add (1,3)=17 Failed, w=18\",\"Find(0)=0, Find(2)=1, Add (0,2)=41 Succeeded, w=59\",\"Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,55],[1,2,7],[1,3,17],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(2,3)=11,(1,3)=17,(0,2)=41,(0,3)=55]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=17 Failed, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=41 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,62],[0,3,40],[0,4,12],[1,2,78],[1,3,62],[1,4,81],[2,3,2],[3,4,21],[3,5,31],[4,5,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,40],[0,4,12],[1,2,78],[1,3,62],[1,4,81],[2,3,2],[3,4,21],[3,5,31],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,40],[0,4,12],[1,2,78],[1,3,62],[1,4,81],[2,3,2],[3,4,21],[3,5,31],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (0,1)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,40],[0,4,12],[1,2,78],[1,3,62],[1,4,81],[2,3,2],[3,4,21],[3,5,31],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (0,4)=12, w=14\",\"Add (3,4)=21, w=35\",\"Add (3,5)=31, w=66\",\"Add (0,1)=62, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,40],[0,4,12],[1,2,78],[1,3,62],[1,4,81],[2,3,2],[3,4,21],[3,5,31],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (0,4)=12 Succeeded, w=14\",\"Add (3,4)=21 Succeeded, w=35\",\"Add (3,5)=31 Succeeded, w=66\",\"Add (0,3)=40 Failed, w=66\",\"Add (0,1)=62 Succeeded, w=128\",\"Add (1,3)=62 Failed, w=128\",\"Add (4,5)=62 Failed, w=128\",\"Add (1,2)=78 Failed, w=128\",\"Add (1,4)=81 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,40],[0,4,12],[1,2,78],[1,3,62],[1,4,81],[2,3,2],[3,4,21],[3,5,31],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,4)=12,(3,4)=21,(3,5)=31,(0,3)=40,(0,1)=62,(1,3)=62,(4,5)=62,(1,2)=78,(1,4)=81]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=14\",\"Find(3)=2, Find(4)=0, Add (3,4)=21 Succeeded, w=35\",\"Find(3)=2, Find(5)=5, Add (3,5)=31 Succeeded, w=66\",\"Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=66\",\"Find(0)=2, Find(1)=1, Add (0,1)=62 Succeeded, w=128\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=128\",\"Find(4)=2, Find(5)=2, Add (4,5)=62 Failed, w=128\",\"Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=128\",\"Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,40],[0,4,12],[1,2,78],[1,3,62],[1,4,81],[2,3,2],[3,4,21],[3,5,31],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,4)=12,(3,4)=21,(3,5)=31,(0,3)=40,(0,1)=62,(1,3)=62,(4,5)=62,(1,2)=78,(1,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(3)=2, Find(4)=0, Add (3,4)=21 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=31 Succeeded, w=66\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=62 Succeeded, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=62 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,4,65],[0,5,83],[1,2,98],[1,3,45],[1,4,26],[1,5,58],[1,6,59],[2,4,24],[2,6,43],[3,4,54],[3,6,62],[4,5,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,65],[0,5,83],[1,2,98],[1,3,45],[1,4,26],[1,5,58],[1,6,59],[2,4,24],[2,6,43],[3,4,54],[3,6,62],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,65],[0,5,83],[1,2,98],[1,3,45],[1,4,26],[1,5,58],[1,6,59],[2,4,24],[2,6,43],[3,4,54],[3,6,62],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (1,5)\"],\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,65],[0,5,83],[1,2,98],[1,3,45],[1,4,26],[1,5,58],[1,6,59],[2,4,24],[2,6,43],[3,4,54],[3,6,62],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (2,4)=24, w=34\",\"Add (1,4)=26, w=60\",\"Add (2,6)=43, w=103\",\"Add (1,3)=45, w=148\",\"Add (1,5)=58, w=206\"],\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,65],[0,5,83],[1,2,98],[1,3,45],[1,4,26],[1,5,58],[1,6,59],[2,4,24],[2,6,43],[3,4,54],[3,6,62],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (2,4)=24 Succeeded, w=34\",\"Add (1,4)=26 Succeeded, w=60\",\"Add (2,6)=43 Succeeded, w=103\",\"Add (1,3)=45 Succeeded, w=148\",\"Add (3,4)=54 Failed, w=148\",\"Add (1,5)=58 Succeeded, w=206\",\"Add (1,6)=59 Failed, w=206\",\"Add (3,6)=62 Failed, w=206\",\"Add (0,4)=65 Failed, w=206\",\"Add (4,5)=75 Failed, w=206\",\"Add (0,5)=83 Failed, w=206\",\"Add (1,2)=98 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,65],[0,5,83],[1,2,98],[1,3,45],[1,4,26],[1,5,58],[1,6,59],[2,4,24],[2,6,43],[3,4,54],[3,6,62],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(2,4)=24,(1,4)=26,(2,6)=43,(1,3)=45,(3,4)=54,(1,5)=58,(1,6)=59,(3,6)=62,(0,4)=65,(4,5)=75,(0,5)=83,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=34\",\"Find(1)=0, Find(4)=2, Add (1,4)=26 Succeeded, w=60\",\"Find(2)=0, Find(6)=6, Add (2,6)=43 Succeeded, w=103\",\"Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=148\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=148\",\"Find(1)=0, Find(5)=5, Add (1,5)=58 Succeeded, w=206\",\"Find(1)=0, Find(6)=0, Add (1,6)=59 Failed, w=206\",\"Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=206\",\"Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=206\",\"Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=206\",\"Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=206\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,65],[0,5,83],[1,2,98],[1,3,45],[1,4,26],[1,5,58],[1,6,59],[2,4,24],[2,6,43],[3,4,54],[3,6,62],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(2,4)=24,(1,4)=26,(2,6)=43,(1,3)=45,(3,4)=54,(1,5)=58,(1,6)=59,(3,6)=62,(0,4)=65,(4,5)=75,(0,5)=83,(1,2)=98]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5, 6: 6}, Find(1)=0, Find(4)=2, Add (1,4)=26 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=43 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=5, Add (1,5)=58 Succeeded, w=206\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=59 Failed, w=206\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=206\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=206\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=206\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=206\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,2,52],[0,3,6],[2,3,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,52],[0,3,6],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,52],[0,3,6],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,52],[0,3,6],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (0,3)=6, w=6\",\"Add (0,1)=88, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,52],[0,3,6],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (0,3)=6 Succeeded, w=6\",\"Add (0,2)=52 Failed, w=6\",\"Add (0,1)=88 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,52],[0,3,6],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,3)=6,(0,2)=52,(0,1)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=2, Add (0,3)=6 Succeeded, w=6\",\"Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=6\",\"Find(0)=2, Find(1)=1, Add (0,1)=88 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,52],[0,3,6],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,3)=6,(0,2)=52,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=6\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=88 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,48],[0,2,74],[0,3,57],[1,2,15],[2,3,10]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,74],[0,3,57],[1,2,15],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,74],[0,3,57],[1,2,15],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,74],[0,3,57],[1,2,15],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (1,2)=15, w=25\",\"Add (0,1)=48, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,74],[0,3,57],[1,2,15],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (1,2)=15 Succeeded, w=25\",\"Add (0,1)=48 Succeeded, w=73\",\"Add (0,3)=57 Failed, w=73\",\"Add (0,2)=74 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,74],[0,3,57],[1,2,15],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(1,2)=15,(0,1)=48,(0,3)=57,(0,2)=74]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=25\",\"Find(0)=0, Find(1)=2, Add (0,1)=48 Succeeded, w=73\",\"Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=73\",\"Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,74],[0,3,57],[1,2,15],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(1,2)=15,(0,1)=48,(0,3)=57,(0,2)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=48 Succeeded, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,93],[0,3,81],[1,4,88],[2,3,1],[2,4,91],[3,4,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,81],[1,4,88],[2,3,1],[2,4,91],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,81],[1,4,88],[2,3,1],[2,4,91],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,81],[1,4,88],[2,3,1],[2,4,91],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (3,4)=52, w=53\",\"Add (0,3)=81, w=134\",\"Add (1,4)=88, w=222\"],\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,81],[1,4,88],[2,3,1],[2,4,91],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (3,4)=52 Succeeded, w=53\",\"Add (0,3)=81 Succeeded, w=134\",\"Add (1,4)=88 Succeeded, w=222\",\"Add (2,4)=91 Failed, w=222\",\"Add (0,2)=93 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,81],[1,4,88],[2,3,1],[2,4,91],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(3,4)=52,(0,3)=81,(1,4)=88,(2,4)=91,(0,2)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(3)=2, Find(4)=4, Add (3,4)=52 Succeeded, w=53\",\"Find(0)=0, Find(3)=2, Add (0,3)=81 Succeeded, w=134\",\"Find(1)=1, Find(4)=2, Add (1,4)=88 Succeeded, w=222\",\"Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=222\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,81],[1,4,88],[2,3,1],[2,4,91],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(3,4)=52,(0,3)=81,(1,4)=88,(2,4)=91,(0,2)=93]\",\"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)=52 Succeeded, w=53\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=81 Succeeded, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=88 Succeeded, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,71],[0,3,26],[0,4,85],[1,4,44],[2,4,93],[3,4,1]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,3,26],[0,4,85],[1,4,44],[2,4,93],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,3,26],[0,4,85],[1,4,44],[2,4,93],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,3,26],[0,4,85],[1,4,44],[2,4,93],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,3)=26, w=27\",\"Add (1,4)=44, w=71\",\"Add (0,2)=71, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,3,26],[0,4,85],[1,4,44],[2,4,93],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,3)=26 Succeeded, w=27\",\"Add (1,4)=44 Succeeded, w=71\",\"Add (0,1)=66 Failed, w=71\",\"Add (0,2)=71 Succeeded, w=142\",\"Add (0,4)=85 Failed, w=142\",\"Add (2,4)=93 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,3,26],[0,4,85],[1,4,44],[2,4,93],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,3)=26,(1,4)=44,(0,1)=66,(0,2)=71,(0,4)=85,(2,4)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=27\",\"Find(1)=1, Find(4)=3, Add (1,4)=44 Succeeded, w=71\",\"Find(0)=3, Find(1)=3, Add (0,1)=66 Failed, w=71\",\"Find(0)=3, Find(2)=2, Add (0,2)=71 Succeeded, w=142\",\"Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=142\",\"Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,3,26],[0,4,85],[1,4,44],[2,4,93],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,3)=26,(1,4)=44,(0,1)=66,(0,2)=71,(0,4)=85,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=27\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=44 Succeeded, w=71\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=66 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=2, Add (0,2)=71 Succeeded, w=142\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=142\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,67],[0,3,33],[0,5,74],[0,6,76],[1,2,46],[1,3,25],[1,5,63],[2,3,27],[2,4,4],[2,5,5],[2,6,64],[3,4,8],[3,6,32],[4,5,14],[4,6,11],[5,6,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,33],[0,5,74],[0,6,76],[1,2,46],[1,3,25],[1,5,63],[2,3,27],[2,4,4],[2,5,5],[2,6,64],[3,4,8],[3,6,32],[4,5,14],[4,6,11],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,33],[0,5,74],[0,6,76],[1,2,46],[1,3,25],[1,5,63],[2,3,27],[2,4,4],[2,5,5],[2,6,64],[3,4,8],[3,6,32],[4,5,14],[4,6,11],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,33],[0,5,74],[0,6,76],[1,2,46],[1,3,25],[1,5,63],[2,3,27],[2,4,4],[2,5,5],[2,6,64],[3,4,8],[3,6,32],[4,5,14],[4,6,11],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (2,5)=5, w=9\",\"Add (5,6)=7, w=16\",\"Add (3,4)=8, w=24\",\"Add (1,3)=25, w=49\",\"Add (0,3)=33, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,33],[0,5,74],[0,6,76],[1,2,46],[1,3,25],[1,5,63],[2,3,27],[2,4,4],[2,5,5],[2,6,64],[3,4,8],[3,6,32],[4,5,14],[4,6,11],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (2,5)=5 Succeeded, w=9\",\"Add (5,6)=7 Succeeded, w=16\",\"Add (3,4)=8 Succeeded, w=24\",\"Add (4,6)=11 Failed, w=24\",\"Add (4,5)=14 Failed, w=24\",\"Add (1,3)=25 Succeeded, w=49\",\"Add (2,3)=27 Failed, w=49\",\"Add (3,6)=32 Failed, w=49\",\"Add (0,3)=33 Succeeded, w=82\",\"Add (1,2)=46 Failed, w=82\",\"Add (1,5)=63 Failed, w=82\",\"Add (2,6)=64 Failed, w=82\",\"Add (0,2)=67 Failed, w=82\",\"Add (0,5)=74 Failed, w=82\",\"Add (0,6)=76 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,33],[0,5,74],[0,6,76],[1,2,46],[1,3,25],[1,5,63],[2,3,27],[2,4,4],[2,5,5],[2,6,64],[3,4,8],[3,6,32],[4,5,14],[4,6,11],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(2,5)=5,(5,6)=7,(3,4)=8,(4,6)=11,(4,5)=14,(1,3)=25,(2,3)=27,(3,6)=32,(0,3)=33,(1,2)=46,(1,5)=63,(2,6)=64,(0,2)=67,(0,5)=74,(0,6)=76]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=9\",\"Find(5)=2, Find(6)=6, Add (5,6)=7 Succeeded, w=16\",\"Find(3)=3, Find(4)=2, Add (3,4)=8 Succeeded, w=24\",\"Find(4)=2, Find(6)=2, Add (4,6)=11 Failed, w=24\",\"Find(4)=2, Find(5)=2, Add (4,5)=14 Failed, w=24\",\"Find(1)=1, Find(3)=2, Add (1,3)=25 Succeeded, w=49\",\"Find(2)=2, Find(3)=2, Add (2,3)=27 Failed, w=49\",\"Find(3)=2, Find(6)=2, Add (3,6)=32 Failed, w=49\",\"Find(0)=0, Find(3)=2, Add (0,3)=33 Succeeded, w=82\",\"Find(1)=2, Find(2)=2, Add (1,2)=46 Failed, w=82\",\"Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=82\",\"Find(2)=2, Find(6)=2, Add (2,6)=64 Failed, w=82\",\"Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=82\",\"Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=82\",\"Find(0)=2, Find(6)=2, Add (0,6)=76 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,33],[0,5,74],[0,6,76],[1,2,46],[1,3,25],[1,5,63],[2,3,27],[2,4,4],[2,5,5],[2,6,64],[3,4,8],[3,6,32],[4,5,14],[4,6,11],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(2,5)=5,(5,6)=7,(3,4)=8,(4,6)=11,(4,5)=14,(1,3)=25,(2,3)=27,(3,6)=32,(0,3)=33,(1,2)=46,(1,5)=63,(2,6)=64,(0,2)=67,(0,5)=74,(0,6)=76]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=3, Find(4)=2, Add (3,4)=8 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=11 Failed, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=14 Failed, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(3)=2, Add (1,3)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=27 Failed, w=49\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=32 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=33 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=46 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=64 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=76 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,2,40],[0,3,44],[1,2,64],[1,3,58],[2,3,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,40],[0,3,44],[1,2,64],[1,3,58],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,40],[0,3,44],[1,2,64],[1,3,58],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,40],[0,3,44],[1,2,64],[1,3,58],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=40, w=40\",\"Add (0,3)=44, w=84\",\"Add (1,3)=58, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,40],[0,3,44],[1,2,64],[1,3,58],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=40 Succeeded, w=40\",\"Add (0,3)=44 Succeeded, w=84\",\"Add (1,3)=58 Succeeded, w=142\",\"Add (1,2)=64 Failed, w=142\",\"Add (0,1)=70 Failed, w=142\",\"Add (2,3)=79 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,40],[0,3,44],[1,2,64],[1,3,58],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=40,(0,3)=44,(1,3)=58,(1,2)=64,(0,1)=70,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=40\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=84\",\"Find(1)=1, Find(3)=0, Add (1,3)=58 Succeeded, w=142\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=142\",\"Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=142\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,40],[0,3,44],[1,2,64],[1,3,58],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=40,(0,3)=44,(1,3)=58,(1,2)=64,(0,1)=70,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=58 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,79],[0,2,38],[0,3,37],[1,2,25],[2,3,66]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,38],[0,3,37],[1,2,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,38],[0,3,37],[1,2,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,38],[0,3,37],[1,2,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=25, w=25\",\"Add (0,3)=37, w=62\",\"Add (0,2)=38, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,38],[0,3,37],[1,2,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=25 Succeeded, w=25\",\"Add (0,3)=37 Succeeded, w=62\",\"Add (0,2)=38 Succeeded, w=100\",\"Add (2,3)=66 Failed, w=100\",\"Add (0,1)=79 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,38],[0,3,37],[1,2,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=25,(0,3)=37,(0,2)=38,(2,3)=66,(0,1)=79]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=25\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=62\",\"Find(0)=0, Find(2)=1, Add (0,2)=38 Succeeded, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=100\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,38],[0,3,37],[1,2,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=25,(0,3)=37,(0,2)=38,(2,3)=66,(0,1)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=38 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,40],[0,3,1],[0,4,69],[1,2,99],[1,3,5],[1,4,83],[2,3,63],[2,4,69],[3,4,46]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,1],[0,4,69],[1,2,99],[1,3,5],[1,4,83],[2,3,63],[2,4,69],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,1],[0,4,69],[1,2,99],[1,3,5],[1,4,83],[2,3,63],[2,4,69],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,1],[0,4,69],[1,2,99],[1,3,5],[1,4,83],[2,3,63],[2,4,69],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (1,3)=5, w=6\",\"Add (3,4)=46, w=52\",\"Add (2,3)=63, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,1],[0,4,69],[1,2,99],[1,3,5],[1,4,83],[2,3,63],[2,4,69],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,3)=5 Succeeded, w=6\",\"Add (0,1)=40 Failed, w=6\",\"Add (3,4)=46 Succeeded, w=52\",\"Add (2,3)=63 Succeeded, w=115\",\"Add (0,4)=69 Failed, w=115\",\"Add (2,4)=69 Failed, w=115\",\"Add (1,4)=83 Failed, w=115\",\"Add (1,2)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,1],[0,4,69],[1,2,99],[1,3,5],[1,4,83],[2,3,63],[2,4,69],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=5,(0,1)=40,(3,4)=46,(2,3)=63,(0,4)=69,(2,4)=69,(1,4)=83,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=0, Add (1,3)=5 Succeeded, w=6\",\"Find(0)=0, Find(1)=0, Add (0,1)=40 Failed, w=6\",\"Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=52\",\"Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=115\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=115\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=115\",\"Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,1],[0,4,69],[1,2,99],[1,3,5],[1,4,83],[2,3,63],[2,4,69],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=5,(0,1)=40,(3,4)=46,(2,3)=63,(0,4)=69,(2,4)=69,(1,4)=83,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=40 Failed, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,42],[0,2,4],[0,4,84],[0,6,70],[1,2,5],[1,3,5],[1,4,50],[1,5,20],[1,6,47],[2,3,92],[2,4,0],[2,5,58],[2,6,90],[3,5,0],[4,5,97],[5,6,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,4],[0,4,84],[0,6,70],[1,2,5],[1,3,5],[1,4,50],[1,5,20],[1,6,47],[2,3,92],[2,4,0],[2,5,58],[2,6,90],[3,5,0],[4,5,97],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,4],[0,4,84],[0,6,70],[1,2,5],[1,3,5],[1,4,50],[1,5,20],[1,6,47],[2,3,92],[2,4,0],[2,5,58],[2,6,90],[3,5,0],[4,5,97],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (1,6)\"],\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,4],[0,4,84],[0,6,70],[1,2,5],[1,3,5],[1,4,50],[1,5,20],[1,6,47],[2,3,92],[2,4,0],[2,5,58],[2,6,90],[3,5,0],[4,5,97],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (3,5)=0, w=0\",\"Add (0,2)=4, w=4\",\"Add (1,2)=5, w=9\",\"Add (1,3)=5, w=14\",\"Add (1,6)=47, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,4],[0,4,84],[0,6,70],[1,2,5],[1,3,5],[1,4,50],[1,5,20],[1,6,47],[2,3,92],[2,4,0],[2,5,58],[2,6,90],[3,5,0],[4,5,97],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (3,5)=0 Succeeded, w=0\",\"Add (0,2)=4 Succeeded, w=4\",\"Add (1,2)=5 Succeeded, w=9\",\"Add (1,3)=5 Succeeded, w=14\",\"Add (1,5)=20 Failed, w=14\",\"Add (0,1)=42 Failed, w=14\",\"Add (1,6)=47 Succeeded, w=61\",\"Add (1,4)=50 Failed, w=61\",\"Add (2,5)=58 Failed, w=61\",\"Add (0,6)=70 Failed, w=61\",\"Add (0,4)=84 Failed, w=61\",\"Add (5,6)=89 Failed, w=61\",\"Add (2,6)=90 Failed, w=61\",\"Add (2,3)=92 Failed, w=61\",\"Add (4,5)=97 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,4],[0,4,84],[0,6,70],[1,2,5],[1,3,5],[1,4,50],[1,5,20],[1,6,47],[2,3,92],[2,4,0],[2,5,58],[2,6,90],[3,5,0],[4,5,97],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(3,5)=0,(0,2)=4,(1,2)=5,(1,3)=5,(1,5)=20,(0,1)=42,(1,6)=47,(1,4)=50,(2,5)=58,(0,6)=70,(0,4)=84,(5,6)=89,(2,6)=90,(2,3)=92,(4,5)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Find(1)=2, Find(3)=3, Add (1,3)=5 Succeeded, w=14\",\"Find(1)=2, Find(5)=2, Add (1,5)=20 Failed, w=14\",\"Find(0)=2, Find(1)=2, Add (0,1)=42 Failed, w=14\",\"Find(1)=2, Find(6)=6, Add (1,6)=47 Succeeded, w=61\",\"Find(1)=2, Find(4)=2, Add (1,4)=50 Failed, w=61\",\"Find(2)=2, Find(5)=2, Add (2,5)=58 Failed, w=61\",\"Find(0)=2, Find(6)=2, Add (0,6)=70 Failed, w=61\",\"Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=61\",\"Find(5)=2, Find(6)=2, Add (5,6)=89 Failed, w=61\",\"Find(2)=2, Find(6)=2, Add (2,6)=90 Failed, w=61\",\"Find(2)=2, Find(3)=2, Add (2,3)=92 Failed, w=61\",\"Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,2,4],[0,4,84],[0,6,70],[1,2,5],[1,3,5],[1,4,50],[1,5,20],[1,6,47],[2,3,92],[2,4,0],[2,5,58],[2,6,90],[3,5,0],[4,5,97],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(3,5)=0,(0,2)=4,(1,2)=5,(1,3)=5,(1,5)=20,(0,1)=42,(1,6)=47,(1,4)=50,(2,5)=58,(0,6)=70,(0,4)=84,(5,6)=89,(2,6)=90,(2,3)=92,(4,5)=97]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 6}, Find(1)=2, Find(3)=3, Add (1,3)=5 Succeeded, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(5)=2, Add (1,5)=20 Failed, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(1)=2, Add (0,1)=42 Failed, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=6, Add (1,6)=47 Succeeded, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=50 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=58 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=70 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=89 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=90 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=92 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,2,88],[0,3,46],[0,4,26],[0,5,49],[1,3,48],[1,4,84],[1,5,88],[2,3,78],[3,5,72],[4,5,84]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,88],[0,3,46],[0,4,26],[0,5,49],[1,3,48],[1,4,84],[1,5,88],[2,3,78],[3,5,72],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":233}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,88],[0,3,46],[0,4,26],[0,5,49],[1,3,48],[1,4,84],[1,5,88],[2,3,78],[3,5,72],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":233}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,88],[0,3,46],[0,4,26],[0,5,49],[1,3,48],[1,4,84],[1,5,88],[2,3,78],[3,5,72],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=26, w=26\",\"Add (0,1)=34, w=60\",\"Add (0,3)=46, w=106\",\"Add (0,5)=49, w=155\",\"Add (2,3)=78, w=233\"],\"Answer\":233}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,88],[0,3,46],[0,4,26],[0,5,49],[1,3,48],[1,4,84],[1,5,88],[2,3,78],[3,5,72],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=26 Succeeded, w=26\",\"Add (0,1)=34 Succeeded, w=60\",\"Add (0,3)=46 Succeeded, w=106\",\"Add (1,3)=48 Failed, w=106\",\"Add (0,5)=49 Succeeded, w=155\",\"Add (3,5)=72 Failed, w=155\",\"Add (2,3)=78 Succeeded, w=233\",\"Add (1,4)=84 Failed, w=233\",\"Add (4,5)=84 Failed, w=233\",\"Add (0,2)=88 Failed, w=233\",\"Add (1,5)=88 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,88],[0,3,46],[0,4,26],[0,5,49],[1,3,48],[1,4,84],[1,5,88],[2,3,78],[3,5,72],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=26,(0,1)=34,(0,3)=46,(1,3)=48,(0,5)=49,(3,5)=72,(2,3)=78,(1,4)=84,(4,5)=84,(0,2)=88,(1,5)=88]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=60\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=106\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=106\",\"Find(0)=0, Find(5)=5, Add (0,5)=49 Succeeded, w=155\",\"Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=155\",\"Find(2)=2, Find(3)=0, Add (2,3)=78 Succeeded, w=233\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=233\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=233\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=233\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,88],[0,3,46],[0,4,26],[0,5,49],[1,3,48],[1,4,84],[1,5,88],[2,3,78],[3,5,72],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=26,(0,1)=34,(0,3)=46,(1,3)=48,(0,5)=49,(3,5)=72,(2,3)=78,(1,4)=84,(4,5)=84,(0,2)=88,(1,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=49 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=78 Succeeded, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,88],[0,2,17],[0,3,42],[1,3,52],[1,4,73],[1,5,30],[2,3,81],[2,6,36],[3,4,69],[3,5,11],[4,5,36],[4,6,29],[5,6,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,17],[0,3,42],[1,3,52],[1,4,73],[1,5,30],[2,3,81],[2,6,36],[3,4,69],[3,5,11],[4,5,36],[4,6,29],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,17],[0,3,42],[1,3,52],[1,4,73],[1,5,30],[2,3,81],[2,6,36],[3,4,69],[3,5,11],[4,5,36],[4,6,29],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (4,5)\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,17],[0,3,42],[1,3,52],[1,4,73],[1,5,30],[2,3,81],[2,6,36],[3,4,69],[3,5,11],[4,5,36],[4,6,29],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11, w=11\",\"Add (0,2)=17, w=28\",\"Add (4,6)=29, w=57\",\"Add (1,5)=30, w=87\",\"Add (2,6)=36, w=123\",\"Add (4,5)=36, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,17],[0,3,42],[1,3,52],[1,4,73],[1,5,30],[2,3,81],[2,6,36],[3,4,69],[3,5,11],[4,5,36],[4,6,29],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11 Succeeded, w=11\",\"Add (0,2)=17 Succeeded, w=28\",\"Add (4,6)=29 Succeeded, w=57\",\"Add (1,5)=30 Succeeded, w=87\",\"Add (2,6)=36 Succeeded, w=123\",\"Add (4,5)=36 Succeeded, w=159\",\"Add (0,3)=42 Failed, w=159\",\"Add (1,3)=52 Failed, w=159\",\"Add (3,4)=69 Failed, w=159\",\"Add (1,4)=73 Failed, w=159\",\"Add (2,3)=81 Failed, w=159\",\"Add (0,1)=88 Failed, w=159\",\"Add (5,6)=98 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,17],[0,3,42],[1,3,52],[1,4,73],[1,5,30],[2,3,81],[2,6,36],[3,4,69],[3,5,11],[4,5,36],[4,6,29],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(0,2)=17,(4,6)=29,(1,5)=30,(2,6)=36,(4,5)=36,(0,3)=42,(1,3)=52,(3,4)=69,(1,4)=73,(2,3)=81,(0,1)=88,(5,6)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=28\",\"Find(4)=4, Find(6)=6, Add (4,6)=29 Succeeded, w=57\",\"Find(1)=1, Find(5)=3, Add (1,5)=30 Succeeded, w=87\",\"Find(2)=0, Find(6)=4, Add (2,6)=36 Succeeded, w=123\",\"Find(4)=0, Find(5)=3, Add (4,5)=36 Succeeded, w=159\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=159\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=159\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=159\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=159\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=159\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=159\",\"Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,17],[0,3,42],[1,3,52],[1,4,73],[1,5,30],[2,3,81],[2,6,36],[3,4,69],[3,5,11],[4,5,36],[4,6,29],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(0,2)=17,(4,6)=29,(1,5)=30,(2,6)=36,(4,5)=36,(0,3)=42,(1,3)=52,(3,4)=69,(1,4)=73,(2,3)=81,(0,1)=88,(5,6)=98]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=29 Succeeded, w=57\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 4, 5: 3, 6: 4}, Find(1)=1, Find(5)=3, Add (1,5)=30 Succeeded, w=87\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3, 6: 4}, Find(2)=0, Find(6)=4, Add (2,6)=36 Succeeded, w=123\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(4)=0, Find(5)=3, Add (4,5)=36 Succeeded, w=159\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,94],[1,2,92],[1,3,40],[2,3,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[1,2,92],[1,3,40],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[1,2,92],[1,3,40],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[1,2,92],[1,3,40],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=40, w=40\",\"Add (2,3)=48, w=88\",\"Add (0,1)=94, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[1,2,92],[1,3,40],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=40 Succeeded, w=40\",\"Add (2,3)=48 Succeeded, w=88\",\"Add (1,2)=92 Failed, w=88\",\"Add (0,1)=94 Succeeded, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[1,2,92],[1,3,40],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=40,(2,3)=48,(1,2)=92,(0,1)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=40\",\"Find(2)=2, Find(3)=1, Add (2,3)=48 Succeeded, w=88\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=88\",\"Find(0)=0, Find(1)=1, Add (0,1)=94 Succeeded, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[1,2,92],[1,3,40],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=40,(2,3)=48,(1,2)=92,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=48 Succeeded, w=88\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=94 Succeeded, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[0,2,63],[0,3,100],[1,2,79],[2,3,51]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,63],[0,3,100],[1,2,79],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,63],[0,3,100],[1,2,79],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,63],[0,3,100],[1,2,79],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (2,3)=51, w=66\",\"Add (0,2)=63, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,63],[0,3,100],[1,2,79],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (2,3)=51 Succeeded, w=66\",\"Add (0,2)=63 Succeeded, w=129\",\"Add (1,2)=79 Failed, w=129\",\"Add (0,3)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,63],[0,3,100],[1,2,79],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(2,3)=51,(0,2)=63,(1,2)=79,(0,3)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=66\",\"Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=129\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=129\",\"Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,63],[0,3,100],[1,2,79],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(2,3)=51,(0,2)=63,(1,2)=79,(0,3)=100]\",\"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: 2}, Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,3],[0,2,32],[1,3,29],[2,3,40]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[1,3,29],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[1,3,29],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[1,3,29],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (1,3)=29, w=32\",\"Add (0,2)=32, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[1,3,29],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,3)=29 Succeeded, w=32\",\"Add (0,2)=32 Succeeded, w=64\",\"Add (2,3)=40 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[1,3,29],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,3)=29,(0,2)=32,(2,3)=40]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=32\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=64\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,32],[1,3,29],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,3)=29,(0,2)=32,(2,3)=40]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,71],[0,5,32],[1,2,82],[1,3,12],[1,4,14],[1,5,100],[2,5,99],[3,4,4],[3,5,31],[4,5,99]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,71],[0,5,32],[1,2,82],[1,3,12],[1,4,14],[1,5,100],[2,5,99],[3,4,4],[3,5,31],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,71],[0,5,32],[1,2,82],[1,3,12],[1,4,14],[1,5,100],[2,5,99],[3,4,4],[3,5,31],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,71],[0,5,32],[1,2,82],[1,3,12],[1,4,14],[1,5,100],[2,5,99],[3,4,4],[3,5,31],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (1,3)=12, w=16\",\"Add (3,5)=31, w=47\",\"Add (0,5)=32, w=79\",\"Add (0,2)=71, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,71],[0,5,32],[1,2,82],[1,3,12],[1,4,14],[1,5,100],[2,5,99],[3,4,4],[3,5,31],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (1,3)=12 Succeeded, w=16\",\"Add (1,4)=14 Failed, w=16\",\"Add (3,5)=31 Succeeded, w=47\",\"Add (0,5)=32 Succeeded, w=79\",\"Add (0,2)=71 Succeeded, w=150\",\"Add (1,2)=82 Failed, w=150\",\"Add (2,5)=99 Failed, w=150\",\"Add (4,5)=99 Failed, w=150\",\"Add (1,5)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,71],[0,5,32],[1,2,82],[1,3,12],[1,4,14],[1,5,100],[2,5,99],[3,4,4],[3,5,31],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,3)=12,(1,4)=14,(3,5)=31,(0,5)=32,(0,2)=71,(1,2)=82,(2,5)=99,(4,5)=99,(1,5)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=16\",\"Find(1)=3, Find(4)=3, Add (1,4)=14 Failed, w=16\",\"Find(3)=3, Find(5)=5, Add (3,5)=31 Succeeded, w=47\",\"Find(0)=0, Find(5)=3, Add (0,5)=32 Succeeded, w=79\",\"Find(0)=3, Find(2)=2, Add (0,2)=71 Succeeded, w=150\",\"Find(1)=3, Find(2)=3, Add (1,2)=82 Failed, w=150\",\"Find(2)=3, Find(5)=3, Add (2,5)=99 Failed, w=150\",\"Find(4)=3, Find(5)=3, Add (4,5)=99 Failed, w=150\",\"Find(1)=3, Find(5)=3, Add (1,5)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,71],[0,5,32],[1,2,82],[1,3,12],[1,4,14],[1,5,100],[2,5,99],[3,4,4],[3,5,31],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,3)=12,(1,4)=14,(3,5)=31,(0,5)=32,(0,2)=71,(1,2)=82,(2,5)=99,(4,5)=99,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(4)=3, Add (1,4)=14 Failed, w=16\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=31 Succeeded, w=47\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=32 Succeeded, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=2, Add (0,2)=71 Succeeded, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=82 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=99 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=99 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,24],[0,2,50],[0,3,5],[0,4,59],[1,2,29],[1,3,44],[1,4,62],[2,3,55],[2,4,11],[2,5,62],[3,4,79],[3,5,63],[4,5,77]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,50],[0,3,5],[0,4,59],[1,2,29],[1,3,44],[1,4,62],[2,3,55],[2,4,11],[2,5,62],[3,4,79],[3,5,63],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,50],[0,3,5],[0,4,59],[1,2,29],[1,3,44],[1,4,62],[2,3,55],[2,4,11],[2,5,62],[3,4,79],[3,5,63],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (2,5)\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,50],[0,3,5],[0,4,59],[1,2,29],[1,3,44],[1,4,62],[2,3,55],[2,4,11],[2,5,62],[3,4,79],[3,5,63],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (2,4)=11, w=16\",\"Add (0,1)=24, w=40\",\"Add (1,2)=29, w=69\",\"Add (2,5)=62, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,50],[0,3,5],[0,4,59],[1,2,29],[1,3,44],[1,4,62],[2,3,55],[2,4,11],[2,5,62],[3,4,79],[3,5,63],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (2,4)=11 Succeeded, w=16\",\"Add (0,1)=24 Succeeded, w=40\",\"Add (1,2)=29 Succeeded, w=69\",\"Add (1,3)=44 Failed, w=69\",\"Add (0,2)=50 Failed, w=69\",\"Add (2,3)=55 Failed, w=69\",\"Add (0,4)=59 Failed, w=69\",\"Add (1,4)=62 Failed, w=69\",\"Add (2,5)=62 Succeeded, w=131\",\"Add (3,5)=63 Failed, w=131\",\"Add (4,5)=77 Failed, w=131\",\"Add (3,4)=79 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,50],[0,3,5],[0,4,59],[1,2,29],[1,3,44],[1,4,62],[2,3,55],[2,4,11],[2,5,62],[3,4,79],[3,5,63],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,4)=11,(0,1)=24,(1,2)=29,(1,3)=44,(0,2)=50,(2,3)=55,(0,4)=59,(1,4)=62,(2,5)=62,(3,5)=63,(4,5)=77,(3,4)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=40\",\"Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=69\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=69\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=69\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=69\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=69\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=69\",\"Find(2)=0, Find(5)=5, Add (2,5)=62 Succeeded, w=131\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=131\",\"Find(4)=0, Find(5)=0, Add (4,5)=77 Failed, w=131\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,50],[0,3,5],[0,4,59],[1,2,29],[1,3,44],[1,4,62],[2,3,55],[2,4,11],[2,5,62],[3,4,79],[3,5,63],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,4)=11,(0,1)=24,(1,2)=29,(1,3)=44,(0,2)=50,(2,3)=55,(0,4)=59,(1,4)=62,(2,5)=62,(3,5)=63,(4,5)=77,(3,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=62 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=77 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,3,38],[0,4,95],[1,2,52],[2,3,67],[2,4,77]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,38],[0,4,95],[1,2,52],[2,3,67],[2,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,38],[0,4,95],[1,2,52],[2,3,67],[2,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,38],[0,4,95],[1,2,52],[2,3,67],[2,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,3)=38, w=40\",\"Add (1,2)=52, w=92\",\"Add (2,4)=77, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,38],[0,4,95],[1,2,52],[2,3,67],[2,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,3)=38 Succeeded, w=40\",\"Add (1,2)=52 Succeeded, w=92\",\"Add (2,3)=67 Failed, w=92\",\"Add (2,4)=77 Succeeded, w=169\",\"Add (0,4)=95 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,38],[0,4,95],[1,2,52],[2,3,67],[2,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=38,(1,2)=52,(2,3)=67,(2,4)=77,(0,4)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=40\",\"Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=92\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=92\",\"Find(2)=0, Find(4)=4, Add (2,4)=77 Succeeded, w=169\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,38],[0,4,95],[1,2,52],[2,3,67],[2,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=38,(1,2)=52,(2,3)=67,(2,4)=77,(0,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=77 Succeeded, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,85],[0,2,29],[0,3,49],[0,4,61],[0,5,65],[0,6,13],[0,7,56],[1,2,37],[1,3,72],[1,4,31],[1,5,18],[1,6,79],[1,7,23],[2,3,30],[2,4,7],[2,5,55],[2,6,11],[2,7,62],[3,4,18],[3,5,34],[3,6,14],[3,7,4],[4,5,80],[4,6,55],[4,7,6],[5,6,68],[5,7,95],[6,7,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,29],[0,3,49],[0,4,61],[0,5,65],[0,6,13],[0,7,56],[1,2,37],[1,3,72],[1,4,31],[1,5,18],[1,6,79],[1,7,23],[2,3,30],[2,4,7],[2,5,55],[2,6,11],[2,7,62],[3,4,18],[3,5,34],[3,6,14],[3,7,4],[4,5,80],[4,6,55],[4,7,6],[5,6,68],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,29],[0,3,49],[0,4,61],[0,5,65],[0,6,13],[0,7,56],[1,2,37],[1,3,72],[1,4,31],[1,5,18],[1,6,79],[1,7,23],[2,3,30],[2,4,7],[2,5,55],[2,6,11],[2,7,62],[3,4,18],[3,5,34],[3,6,14],[3,7,4],[4,5,80],[4,6,55],[4,7,6],[5,6,68],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (4,7)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (1,7)\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,29],[0,3,49],[0,4,61],[0,5,65],[0,6,13],[0,7,56],[1,2,37],[1,3,72],[1,4,31],[1,5,18],[1,6,79],[1,7,23],[2,3,30],[2,4,7],[2,5,55],[2,6,11],[2,7,62],[3,4,18],[3,5,34],[3,6,14],[3,7,4],[4,5,80],[4,6,55],[4,7,6],[5,6,68],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4, w=4\",\"Add (4,7)=6, w=10\",\"Add (2,4)=7, w=17\",\"Add (2,6)=11, w=28\",\"Add (0,6)=13, w=41\",\"Add (1,5)=18, w=59\",\"Add (1,7)=23, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,29],[0,3,49],[0,4,61],[0,5,65],[0,6,13],[0,7,56],[1,2,37],[1,3,72],[1,4,31],[1,5,18],[1,6,79],[1,7,23],[2,3,30],[2,4,7],[2,5,55],[2,6,11],[2,7,62],[3,4,18],[3,5,34],[3,6,14],[3,7,4],[4,5,80],[4,6,55],[4,7,6],[5,6,68],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4 Succeeded, w=4\",\"Add (4,7)=6 Succeeded, w=10\",\"Add (2,4)=7 Succeeded, w=17\",\"Add (2,6)=11 Succeeded, w=28\",\"Add (0,6)=13 Succeeded, w=41\",\"Add (3,6)=14 Failed, w=41\",\"Add (1,5)=18 Succeeded, w=59\",\"Add (3,4)=18 Failed, w=59\",\"Add (1,7)=23 Succeeded, w=82\",\"Add (0,2)=29 Failed, w=82\",\"Add (2,3)=30 Failed, w=82\",\"Add (1,4)=31 Failed, w=82\",\"Add (3,5)=34 Failed, w=82\",\"Add (1,2)=37 Failed, w=82\",\"Add (6,7)=48 Failed, w=82\",\"Add (0,3)=49 Failed, w=82\",\"Add (2,5)=55 Failed, w=82\",\"Add (4,6)=55 Failed, w=82\",\"Add (0,7)=56 Failed, w=82\",\"Add (0,4)=61 Failed, w=82\",\"Add (2,7)=62 Failed, w=82\",\"Add (0,5)=65 Failed, w=82\",\"Add (5,6)=68 Failed, w=82\",\"Add (1,3)=72 Failed, w=82\",\"Add (1,6)=79 Failed, w=82\",\"Add (4,5)=80 Failed, w=82\",\"Add (0,1)=85 Failed, w=82\",\"Add (5,7)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,29],[0,3,49],[0,4,61],[0,5,65],[0,6,13],[0,7,56],[1,2,37],[1,3,72],[1,4,31],[1,5,18],[1,6,79],[1,7,23],[2,3,30],[2,4,7],[2,5,55],[2,6,11],[2,7,62],[3,4,18],[3,5,34],[3,6,14],[3,7,4],[4,5,80],[4,6,55],[4,7,6],[5,6,68],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(4,7)=6,(2,4)=7,(2,6)=11,(0,6)=13,(3,6)=14,(1,5)=18,(3,4)=18,(1,7)=23,(0,2)=29,(2,3)=30,(1,4)=31,(3,5)=34,(1,2)=37,(6,7)=48,(0,3)=49,(2,5)=55,(4,6)=55,(0,7)=56,(0,4)=61,(2,7)=62,(0,5)=65,(5,6)=68,(1,3)=72,(1,6)=79,(4,5)=80,(0,1)=85,(5,7)=95]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Find(4)=4, Find(7)=3, Add (4,7)=6 Succeeded, w=10\",\"Find(2)=2, Find(4)=3, Add (2,4)=7 Succeeded, w=17\",\"Find(2)=3, Find(6)=6, Add (2,6)=11 Succeeded, w=28\",\"Find(0)=0, Find(6)=3, Add (0,6)=13 Succeeded, w=41\",\"Find(3)=3, Find(6)=3, Add (3,6)=14 Failed, w=41\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=59\",\"Find(3)=3, Find(4)=3, Add (3,4)=18 Failed, w=59\",\"Find(1)=1, Find(7)=3, Add (1,7)=23 Succeeded, w=82\",\"Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=82\",\"Find(2)=1, Find(3)=1, Add (2,3)=30 Failed, w=82\",\"Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=82\",\"Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=82\",\"Find(1)=1, Find(2)=1, Add (1,2)=37 Failed, w=82\",\"Find(6)=1, Find(7)=1, Add (6,7)=48 Failed, w=82\",\"Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=82\",\"Find(2)=1, Find(5)=1, Add (2,5)=55 Failed, w=82\",\"Find(4)=1, Find(6)=1, Add (4,6)=55 Failed, w=82\",\"Find(0)=1, Find(7)=1, Add (0,7)=56 Failed, w=82\",\"Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=82\",\"Find(2)=1, Find(7)=1, Add (2,7)=62 Failed, w=82\",\"Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=82\",\"Find(5)=1, Find(6)=1, Add (5,6)=68 Failed, w=82\",\"Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=82\",\"Find(1)=1, Find(6)=1, Add (1,6)=79 Failed, w=82\",\"Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=82\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=82\",\"Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,29],[0,3,49],[0,4,61],[0,5,65],[0,6,13],[0,7,56],[1,2,37],[1,3,72],[1,4,31],[1,5,18],[1,6,79],[1,7,23],[2,3,30],[2,4,7],[2,5,55],[2,6,11],[2,7,62],[3,4,18],[3,5,34],[3,6,14],[3,7,4],[4,5,80],[4,6,55],[4,7,6],[5,6,68],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(4,7)=6,(2,4)=7,(2,6)=11,(0,6)=13,(3,6)=14,(1,5)=18,(3,4)=18,(1,7)=23,(0,2)=29,(2,3)=30,(1,4)=31,(3,5)=34,(1,2)=37,(6,7)=48,(0,3)=49,(2,5)=55,(4,6)=55,(0,7)=56,(0,4)=61,(2,7)=62,(0,5)=65,(5,6)=68,(1,3)=72,(1,6)=79,(4,5)=80,(0,1)=85,(5,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 3}, Find(2)=2, Find(4)=3, Add (2,4)=7 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(2)=3, Find(6)=6, Add (2,6)=11 Succeeded, w=28\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=0, Find(6)=3, Add (0,6)=13 Succeeded, w=41\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=14 Failed, w=41\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=59\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=18 Failed, w=59\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1, 6: 3, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=23 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 3, 7: 3}, Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 3, 7: 3}, Find(2)=1, Find(3)=1, Add (2,3)=30 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 3}, Find(1)=1, Find(4)=1, Add (1,4)=31 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 3}, Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 3}, Find(1)=1, Find(2)=1, Add (1,2)=37 Failed, w=82\",\"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)=48 Failed, w=82\",\"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)=49 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=55 Failed, w=82\",\"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)=55 Failed, w=82\",\"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)=56 Failed, w=82\",\"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)=61 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=62 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=82\",\"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)=68 Failed, w=82\",\"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)=72 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=79 Failed, w=82\",\"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)=80 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=82\",\"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=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,97],[0,2,57],[0,3,32],[0,4,59],[0,5,10],[1,2,27],[1,3,39],[1,4,100],[1,5,87],[2,3,78],[2,4,14],[2,5,21],[3,4,92],[3,5,66],[4,5,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,57],[0,3,32],[0,4,59],[0,5,10],[1,2,27],[1,3,39],[1,4,100],[1,5,87],[2,3,78],[2,4,14],[2,5,21],[3,4,92],[3,5,66],[4,5,3]]}",
"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\":[[0,1,97],[0,2,57],[0,3,32],[0,4,59],[0,5,10],[1,2,27],[1,3,39],[1,4,100],[1,5,87],[2,3,78],[2,4,14],[2,5,21],[3,4,92],[3,5,66],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,57],[0,3,32],[0,4,59],[0,5,10],[1,2,27],[1,3,39],[1,4,100],[1,5,87],[2,3,78],[2,4,14],[2,5,21],[3,4,92],[3,5,66],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (0,5)=10, w=13\",\"Add (2,4)=14, w=27\",\"Add (1,2)=27, w=54\",\"Add (0,3)=32, 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\":[[0,1,97],[0,2,57],[0,3,32],[0,4,59],[0,5,10],[1,2,27],[1,3,39],[1,4,100],[1,5,87],[2,3,78],[2,4,14],[2,5,21],[3,4,92],[3,5,66],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (0,5)=10 Succeeded, w=13\",\"Add (2,4)=14 Succeeded, w=27\",\"Add (2,5)=21 Failed, w=27\",\"Add (1,2)=27 Succeeded, w=54\",\"Add (0,3)=32 Succeeded, w=86\",\"Add (1,3)=39 Failed, w=86\",\"Add (0,2)=57 Failed, w=86\",\"Add (0,4)=59 Failed, w=86\",\"Add (3,5)=66 Failed, w=86\",\"Add (2,3)=78 Failed, w=86\",\"Add (1,5)=87 Failed, w=86\",\"Add (3,4)=92 Failed, w=86\",\"Add (0,1)=97 Failed, w=86\",\"Add (1,4)=100 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\":[[0,1,97],[0,2,57],[0,3,32],[0,4,59],[0,5,10],[1,2,27],[1,3,39],[1,4,100],[1,5,87],[2,3,78],[2,4,14],[2,5,21],[3,4,92],[3,5,66],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(0,5)=10,(2,4)=14,(2,5)=21,(1,2)=27,(0,3)=32,(1,3)=39,(0,2)=57,(0,4)=59,(3,5)=66,(2,3)=78,(1,5)=87,(3,4)=92,(0,1)=97,(1,4)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=27\",\"Find(2)=4, Find(5)=4, Add (2,5)=21 Failed, w=27\",\"Find(1)=1, Find(2)=4, Add (1,2)=27 Succeeded, w=54\",\"Find(0)=4, Find(3)=3, Add (0,3)=32 Succeeded, w=86\",\"Find(1)=4, Find(3)=4, Add (1,3)=39 Failed, w=86\",\"Find(0)=4, Find(2)=4, Add (0,2)=57 Failed, w=86\",\"Find(0)=4, Find(4)=4, Add (0,4)=59 Failed, w=86\",\"Find(3)=4, Find(5)=4, Add (3,5)=66 Failed, w=86\",\"Find(2)=4, Find(3)=4, Add (2,3)=78 Failed, w=86\",\"Find(1)=4, Find(5)=4, Add (1,5)=87 Failed, w=86\",\"Find(3)=4, Find(4)=4, Add (3,4)=92 Failed, w=86\",\"Find(0)=4, Find(1)=4, Add (0,1)=97 Failed, w=86\",\"Find(1)=4, Find(4)=4, Add (1,4)=100 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\":[[0,1,97],[0,2,57],[0,3,32],[0,4,59],[0,5,10],[1,2,27],[1,3,39],[1,4,100],[1,5,87],[2,3,78],[2,4,14],[2,5,21],[3,4,92],[3,5,66],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(0,5)=10,(2,4)=14,(2,5)=21,(1,2)=27,(0,3)=32,(1,3)=39,(0,2)=57,(0,4)=59,(3,5)=66,(2,3)=78,(1,5)=87,(3,4)=92,(0,1)=97,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=13\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=27\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=21 Failed, w=27\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(2)=4, Add (1,2)=27 Succeeded, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=3, Add (0,3)=32 Succeeded, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=39 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=57 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=59 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=66 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=4, Add (2,3)=78 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=87 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=92 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=97 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=100 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,64],[0,3,73],[1,3,26],[2,4,28],[3,4,92]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,64],[0,3,73],[1,3,26],[2,4,28],[3,4,92]]}",
"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\":[[0,1,14],[0,2,64],[0,3,73],[1,3,26],[2,4,28],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,64],[0,3,73],[1,3,26],[2,4,28],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (1,3)=26, w=40\",\"Add (2,4)=28, w=68\",\"Add (0,2)=64, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,64],[0,3,73],[1,3,26],[2,4,28],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (1,3)=26 Succeeded, w=40\",\"Add (2,4)=28 Succeeded, w=68\",\"Add (0,2)=64 Succeeded, w=132\",\"Add (0,3)=73 Failed, w=132\",\"Add (3,4)=92 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\":[[0,1,14],[0,2,64],[0,3,73],[1,3,26],[2,4,28],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(1,3)=26,(2,4)=28,(0,2)=64,(0,3)=73,(3,4)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(1)=0, Find(3)=3, Add (1,3)=26 Succeeded, w=40\",\"Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=68\",\"Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=132\",\"Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=92 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\":[[0,1,14],[0,2,64],[0,3,73],[1,3,26],[2,4,28],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(1,3)=26,(2,4)=28,(0,2)=64,(0,3)=73,(3,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=26 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,83],[0,4,47],[1,2,35],[1,3,22],[1,4,85],[2,3,3],[2,4,46],[3,4,74]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[0,4,47],[1,2,35],[1,3,22],[1,4,85],[2,3,3],[2,4,46],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[0,4,47],[1,2,35],[1,3,22],[1,4,85],[2,3,3],[2,4,46],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[0,4,47],[1,2,35],[1,3,22],[1,4,85],[2,3,3],[2,4,46],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (1,3)=22, w=25\",\"Add (2,4)=46, w=71\",\"Add (0,4)=47, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[0,4,47],[1,2,35],[1,3,22],[1,4,85],[2,3,3],[2,4,46],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,3)=22 Succeeded, w=25\",\"Add (1,2)=35 Failed, w=25\",\"Add (2,4)=46 Succeeded, w=71\",\"Add (0,4)=47 Succeeded, w=118\",\"Add (3,4)=74 Failed, w=118\",\"Add (0,3)=83 Failed, w=118\",\"Add (1,4)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[0,4,47],[1,2,35],[1,3,22],[1,4,85],[2,3,3],[2,4,46],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,3)=22,(1,2)=35,(2,4)=46,(0,4)=47,(3,4)=74,(0,3)=83,(1,4)=85]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=25\",\"Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=25\",\"Find(2)=2, Find(4)=4, Add (2,4)=46 Succeeded, w=71\",\"Find(0)=0, Find(4)=2, Add (0,4)=47 Succeeded, w=118\",\"Find(3)=2, Find(4)=2, Add (3,4)=74 Failed, w=118\",\"Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=118\",\"Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[0,4,47],[1,2,35],[1,3,22],[1,4,85],[2,3,3],[2,4,46],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,3)=22,(1,2)=35,(2,4)=46,(0,4)=47,(3,4)=74,(0,3)=83,(1,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=46 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=47 Succeeded, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=74 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,2,59],[0,3,98],[1,2,62],[1,3,3],[2,3,24]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,59],[0,3,98],[1,2,62],[1,3,3],[2,3,24]]}",
"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],[0,2,59],[0,3,98],[1,2,62],[1,3,3],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"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],[0,2,59],[0,3,98],[1,2,62],[1,3,3],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (2,3)=24, 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],[0,2,59],[0,3,98],[1,2,62],[1,3,3],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (2,3)=24 Succeeded, w=27\",\"Add (0,1)=50 Succeeded, w=77\",\"Add (0,2)=59 Failed, w=77\",\"Add (1,2)=62 Failed, w=77\",\"Add (0,3)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,59],[0,3,98],[1,2,62],[1,3,3],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,3)=24,(0,1)=50,(0,2)=59,(1,2)=62,(0,3)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=1, Add (2,3)=24 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=77\",\"Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=77\",\"Find(1)=1, Find(2)=1, Add (1,2)=62 Failed, w=77\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,59],[0,3,98],[1,2,62],[1,3,3],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,3)=24,(0,1)=50,(0,2)=59,(1,2)=62,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=24 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=62 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,36],[0,3,48],[0,4,36],[1,2,2],[1,3,93],[1,5,46],[1,6,0],[2,3,25],[2,4,79],[3,6,2],[4,5,74],[4,6,60],[5,6,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,48],[0,4,36],[1,2,2],[1,3,93],[1,5,46],[1,6,0],[2,3,25],[2,4,79],[3,6,2],[4,5,74],[4,6,60],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,48],[0,4,36],[1,2,2],[1,3,93],[1,5,46],[1,6,0],[2,3,25],[2,4,79],[3,6,2],[4,5,74],[4,6,60],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,48],[0,4,36],[1,2,2],[1,3,93],[1,5,46],[1,6,0],[2,3,25],[2,4,79],[3,6,2],[4,5,74],[4,6,60],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0, w=0\",\"Add (1,2)=2, w=2\",\"Add (3,6)=2, w=4\",\"Add (5,6)=15, w=19\",\"Add (0,2)=36, w=55\",\"Add (0,4)=36, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,48],[0,4,36],[1,2,2],[1,3,93],[1,5,46],[1,6,0],[2,3,25],[2,4,79],[3,6,2],[4,5,74],[4,6,60],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0 Succeeded, w=0\",\"Add (1,2)=2 Succeeded, w=2\",\"Add (3,6)=2 Succeeded, w=4\",\"Add (5,6)=15 Succeeded, w=19\",\"Add (2,3)=25 Failed, w=19\",\"Add (0,2)=36 Succeeded, w=55\",\"Add (0,4)=36 Succeeded, w=91\",\"Add (1,5)=46 Failed, w=91\",\"Add (0,3)=48 Failed, w=91\",\"Add (4,6)=60 Failed, w=91\",\"Add (4,5)=74 Failed, w=91\",\"Add (2,4)=79 Failed, w=91\",\"Add (1,3)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,48],[0,4,36],[1,2,2],[1,3,93],[1,5,46],[1,6,0],[2,3,25],[2,4,79],[3,6,2],[4,5,74],[4,6,60],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(1,2)=2,(3,6)=2,(5,6)=15,(2,3)=25,(0,2)=36,(0,4)=36,(1,5)=46,(0,3)=48,(4,6)=60,(4,5)=74,(2,4)=79,(1,3)=93]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(3)=3, Find(6)=1, Add (3,6)=2 Succeeded, w=4\",\"Find(5)=5, Find(6)=1, Add (5,6)=15 Succeeded, w=19\",\"Find(2)=1, Find(3)=1, Add (2,3)=25 Failed, w=19\",\"Find(0)=0, Find(2)=1, Add (0,2)=36 Succeeded, w=55\",\"Find(0)=1, Find(4)=4, Add (0,4)=36 Succeeded, w=91\",\"Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=91\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=91\",\"Find(4)=1, Find(6)=1, Add (4,6)=60 Failed, w=91\",\"Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=91\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=91\",\"Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,48],[0,4,36],[1,2,2],[1,3,93],[1,5,46],[1,6,0],[2,3,25],[2,4,79],[3,6,2],[4,5,74],[4,6,60],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(1,2)=2,(3,6)=2,(5,6)=15,(2,3)=25,(0,2)=36,(0,4)=36,(1,5)=46,(0,3)=48,(4,6)=60,(4,5)=74,(2,4)=79,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=25 Failed, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=36 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=4, Add (0,4)=36 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=60 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,2,19],[0,3,21],[0,4,73],[1,2,62],[1,4,74],[2,3,94],[2,4,30],[3,4,29]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,19],[0,3,21],[0,4,73],[1,2,62],[1,4,74],[2,3,94],[2,4,30],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,19],[0,3,21],[0,4,73],[1,2,62],[1,4,74],[2,3,94],[2,4,30],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,19],[0,3,21],[0,4,73],[1,2,62],[1,4,74],[2,3,94],[2,4,30],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (0,3)=21, w=40\",\"Add (3,4)=29, w=69\",\"Add (1,2)=62, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,19],[0,3,21],[0,4,73],[1,2,62],[1,4,74],[2,3,94],[2,4,30],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (0,3)=21 Succeeded, w=40\",\"Add (3,4)=29 Succeeded, w=69\",\"Add (2,4)=30 Failed, w=69\",\"Add (1,2)=62 Succeeded, w=131\",\"Add (0,4)=73 Failed, w=131\",\"Add (1,4)=74 Failed, w=131\",\"Add (2,3)=94 Failed, w=131\",\"Add (0,1)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,19],[0,3,21],[0,4,73],[1,2,62],[1,4,74],[2,3,94],[2,4,30],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,3)=21,(3,4)=29,(2,4)=30,(1,2)=62,(0,4)=73,(1,4)=74,(2,3)=94,(0,1)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=40\",\"Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=69\",\"Find(2)=0, Find(4)=0, Add (2,4)=30 Failed, w=69\",\"Find(1)=1, Find(2)=0, Add (1,2)=62 Succeeded, w=131\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=131\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=131\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=131\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,19],[0,3,21],[0,4,73],[1,2,62],[1,4,74],[2,3,94],[2,4,30],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,3)=21,(3,4)=29,(2,4)=30,(1,2)=62,(0,4)=73,(1,4)=74,(2,3)=94,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=30 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=62 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,10],[0,2,49],[0,3,89],[0,4,96],[1,2,80],[1,3,92],[2,4,62],[3,4,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,49],[0,3,89],[0,4,96],[1,2,80],[1,3,92],[2,4,62],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,49],[0,3,89],[0,4,96],[1,2,80],[1,3,92],[2,4,62],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,49],[0,3,89],[0,4,96],[1,2,80],[1,3,92],[2,4,62],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (3,4)=34, w=44\",\"Add (0,2)=49, w=93\",\"Add (2,4)=62, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,49],[0,3,89],[0,4,96],[1,2,80],[1,3,92],[2,4,62],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (3,4)=34 Succeeded, w=44\",\"Add (0,2)=49 Succeeded, w=93\",\"Add (2,4)=62 Succeeded, w=155\",\"Add (1,2)=80 Failed, w=155\",\"Add (0,3)=89 Failed, w=155\",\"Add (1,3)=92 Failed, w=155\",\"Add (0,4)=96 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,49],[0,3,89],[0,4,96],[1,2,80],[1,3,92],[2,4,62],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(3,4)=34,(0,2)=49,(2,4)=62,(1,2)=80,(0,3)=89,(1,3)=92,(0,4)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=44\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=93\",\"Find(2)=0, Find(4)=3, Add (2,4)=62 Succeeded, w=155\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=155\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=155\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=155\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,49],[0,3,89],[0,4,96],[1,2,80],[1,3,92],[2,4,62],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(3,4)=34,(0,2)=49,(2,4)=62,(1,2)=80,(0,3)=89,(1,3)=92,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=62 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,29],[0,3,53],[0,4,100],[1,2,13],[1,3,77],[2,3,7],[2,4,85],[3,4,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,29],[0,3,53],[0,4,100],[1,2,13],[1,3,77],[2,3,7],[2,4,85],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,29],[0,3,53],[0,4,100],[1,2,13],[1,3,77],[2,3,7],[2,4,85],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,29],[0,3,53],[0,4,100],[1,2,13],[1,3,77],[2,3,7],[2,4,85],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (1,2)=13, w=20\",\"Add (0,2)=29, w=49\",\"Add (3,4)=75, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,29],[0,3,53],[0,4,100],[1,2,13],[1,3,77],[2,3,7],[2,4,85],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (1,2)=13 Succeeded, w=20\",\"Add (0,2)=29 Succeeded, w=49\",\"Add (0,1)=36 Failed, w=49\",\"Add (0,3)=53 Failed, w=49\",\"Add (3,4)=75 Succeeded, w=124\",\"Add (1,3)=77 Failed, w=124\",\"Add (2,4)=85 Failed, w=124\",\"Add (0,4)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,29],[0,3,53],[0,4,100],[1,2,13],[1,3,77],[2,3,7],[2,4,85],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(1,2)=13,(0,2)=29,(0,1)=36,(0,3)=53,(3,4)=75,(1,3)=77,(2,4)=85,(0,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=49\",\"Find(0)=2, Find(1)=2, Add (0,1)=36 Failed, w=49\",\"Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=49\",\"Find(3)=2, Find(4)=4, Add (3,4)=75 Succeeded, w=124\",\"Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=124\",\"Find(2)=2, Find(4)=2, Add (2,4)=85 Failed, w=124\",\"Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,29],[0,3,53],[0,4,100],[1,2,13],[1,3,77],[2,3,7],[2,4,85],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(1,2)=13,(0,2)=29,(0,1)=36,(0,3)=53,(3,4)=75,(1,3)=77,(2,4)=85,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=20\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(1)=2, Add (0,1)=36 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=75 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=85 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,100],[0,3,10],[1,2,34],[2,3,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,10],[1,2,34],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,10],[1,2,34],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,10],[1,2,34],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,2)=34, w=44\",\"Add (2,3)=81, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,10],[1,2,34],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,2)=34 Succeeded, w=44\",\"Add (2,3)=81 Succeeded, w=125\",\"Add (0,2)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,10],[1,2,34],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,2)=34,(2,3)=81,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=44\",\"Find(2)=1, Find(3)=0, Add (2,3)=81 Succeeded, w=125\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,10],[1,2,34],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,2)=34,(2,3)=81,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=81 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,87],[0,3,6],[0,4,57],[0,5,50],[1,3,16],[1,5,21],[1,6,42],[2,3,53],[2,4,21],[2,5,46],[2,6,68],[3,4,17],[3,6,30],[4,5,21],[4,6,6],[5,6,87]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,87],[0,3,6],[0,4,57],[0,5,50],[1,3,16],[1,5,21],[1,6,42],[2,3,53],[2,4,21],[2,5,46],[2,6,68],[3,4,17],[3,6,30],[4,5,21],[4,6,6],[5,6,87]]}",
"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],\"edges\":[[0,1,22],[0,2,87],[0,3,6],[0,4,57],[0,5,50],[1,3,16],[1,5,21],[1,6,42],[2,3,53],[2,4,21],[2,5,46],[2,6,68],[3,4,17],[3,6,30],[4,5,21],[4,6,6],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,6)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (2,4)\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,87],[0,3,6],[0,4,57],[0,5,50],[1,3,16],[1,5,21],[1,6,42],[2,3,53],[2,4,21],[2,5,46],[2,6,68],[3,4,17],[3,6,30],[4,5,21],[4,6,6],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (4,6)=6, w=12\",\"Add (1,3)=16, w=28\",\"Add (3,4)=17, w=45\",\"Add (1,5)=21, w=66\",\"Add (2,4)=21, 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],\"edges\":[[0,1,22],[0,2,87],[0,3,6],[0,4,57],[0,5,50],[1,3,16],[1,5,21],[1,6,42],[2,3,53],[2,4,21],[2,5,46],[2,6,68],[3,4,17],[3,6,30],[4,5,21],[4,6,6],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (4,6)=6 Succeeded, w=12\",\"Add (1,3)=16 Succeeded, w=28\",\"Add (3,4)=17 Succeeded, w=45\",\"Add (1,5)=21 Succeeded, w=66\",\"Add (2,4)=21 Succeeded, w=87\",\"Add (4,5)=21 Failed, w=87\",\"Add (0,1)=22 Failed, w=87\",\"Add (3,6)=30 Failed, w=87\",\"Add (1,6)=42 Failed, w=87\",\"Add (2,5)=46 Failed, w=87\",\"Add (0,5)=50 Failed, w=87\",\"Add (2,3)=53 Failed, w=87\",\"Add (0,4)=57 Failed, w=87\",\"Add (2,6)=68 Failed, w=87\",\"Add (0,2)=87 Failed, w=87\",\"Add (5,6)=87 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],\"edges\":[[0,1,22],[0,2,87],[0,3,6],[0,4,57],[0,5,50],[1,3,16],[1,5,21],[1,6,42],[2,3,53],[2,4,21],[2,5,46],[2,6,68],[3,4,17],[3,6,30],[4,5,21],[4,6,6],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(4,6)=6,(1,3)=16,(3,4)=17,(1,5)=21,(2,4)=21,(4,5)=21,(0,1)=22,(3,6)=30,(1,6)=42,(2,5)=46,(0,5)=50,(2,3)=53,(0,4)=57,(2,6)=68,(0,2)=87,(5,6)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=12\",\"Find(1)=1, Find(3)=0, Add (1,3)=16 Succeeded, w=28\",\"Find(3)=0, Find(4)=4, Add (3,4)=17 Succeeded, w=45\",\"Find(1)=0, Find(5)=5, Add (1,5)=21 Succeeded, w=66\",\"Find(2)=2, Find(4)=0, Add (2,4)=21 Succeeded, w=87\",\"Find(4)=0, Find(5)=0, Add (4,5)=21 Failed, w=87\",\"Find(0)=0, Find(1)=0, Add (0,1)=22 Failed, w=87\",\"Find(3)=0, Find(6)=0, Add (3,6)=30 Failed, w=87\",\"Find(1)=0, Find(6)=0, Add (1,6)=42 Failed, w=87\",\"Find(2)=0, Find(5)=0, Add (2,5)=46 Failed, w=87\",\"Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=87\",\"Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=87\",\"Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=87\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=87\",\"Find(5)=0, Find(6)=0, Add (5,6)=87 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],\"edges\":[[0,1,22],[0,2,87],[0,3,6],[0,4,57],[0,5,50],[1,3,16],[1,5,21],[1,6,42],[2,3,53],[2,4,21],[2,5,46],[2,6,68],[3,4,17],[3,6,30],[4,5,21],[4,6,6],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(4,6)=6,(1,3)=16,(3,4)=17,(1,5)=21,(2,4)=21,(4,5)=21,(0,1)=22,(3,6)=30,(1,6)=42,(2,5)=46,(0,5)=50,(2,3)=53,(0,4)=57,(2,6)=68,(0,2)=87,(5,6)=87]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(3)=0, Add (1,3)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 4}, Find(3)=0, Find(4)=4, Add (3,4)=17 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(5)=5, Add (1,5)=21 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(2)=2, Find(4)=0, Add (2,4)=21 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(4)=0, Find(5)=0, Add (4,5)=21 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(1)=0, Add (0,1)=22 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=30 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=42 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=46 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=87 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,2,49],[0,3,71],[0,4,80],[0,5,24],[1,4,4],[1,5,80],[2,3,33],[3,4,19],[3,5,20]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,49],[0,3,71],[0,4,80],[0,5,24],[1,4,4],[1,5,80],[2,3,33],[3,4,19],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,49],[0,3,71],[0,4,80],[0,5,24],[1,4,4],[1,5,80],[2,3,33],[3,4,19],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,49],[0,3,71],[0,4,80],[0,5,24],[1,4,4],[1,5,80],[2,3,33],[3,4,19],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (3,4)=19, w=23\",\"Add (3,5)=20, w=43\",\"Add (0,5)=24, w=67\",\"Add (2,3)=33, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,49],[0,3,71],[0,4,80],[0,5,24],[1,4,4],[1,5,80],[2,3,33],[3,4,19],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (3,4)=19 Succeeded, w=23\",\"Add (3,5)=20 Succeeded, w=43\",\"Add (0,5)=24 Succeeded, w=67\",\"Add (2,3)=33 Succeeded, w=100\",\"Add (0,2)=49 Failed, w=100\",\"Add (0,1)=65 Failed, w=100\",\"Add (0,3)=71 Failed, w=100\",\"Add (0,4)=80 Failed, w=100\",\"Add (1,5)=80 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,49],[0,3,71],[0,4,80],[0,5,24],[1,4,4],[1,5,80],[2,3,33],[3,4,19],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(3,4)=19,(3,5)=20,(0,5)=24,(2,3)=33,(0,2)=49,(0,1)=65,(0,3)=71,(0,4)=80,(1,5)=80]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(3)=3, Find(4)=1, Add (3,4)=19 Succeeded, w=23\",\"Find(3)=1, Find(5)=5, Add (3,5)=20 Succeeded, w=43\",\"Find(0)=0, Find(5)=1, Add (0,5)=24 Succeeded, w=67\",\"Find(2)=2, Find(3)=1, Add (2,3)=33 Succeeded, w=100\",\"Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=100\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=100\",\"Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=100\",\"Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=100\",\"Find(1)=1, Find(5)=1, Add (1,5)=80 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,49],[0,3,71],[0,4,80],[0,5,24],[1,4,4],[1,5,80],[2,3,33],[3,4,19],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(3,4)=19,(3,5)=20,(0,5)=24,(2,3)=33,(0,2)=49,(0,1)=65,(0,3)=71,(0,4)=80,(1,5)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=19 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=20 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=24 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=33 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=80 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,99],[0,2,4],[0,3,68],[0,4,87],[0,5,96],[0,6,11],[0,7,95],[1,3,67],[1,4,65],[1,5,35],[1,6,84],[1,7,98],[2,3,32],[2,4,55],[2,5,2],[2,6,37],[2,7,37],[3,4,90],[3,5,38],[3,6,76],[3,7,20],[4,5,67],[4,6,7],[4,7,80],[5,6,84],[5,7,67],[6,7,44]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,68],[0,4,87],[0,5,96],[0,6,11],[0,7,95],[1,3,67],[1,4,65],[1,5,35],[1,6,84],[1,7,98],[2,3,32],[2,4,55],[2,5,2],[2,6,37],[2,7,37],[3,4,90],[3,5,38],[3,6,76],[3,7,20],[4,5,67],[4,6,7],[4,7,80],[5,6,84],[5,7,67],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,68],[0,4,87],[0,5,96],[0,6,11],[0,7,95],[1,3,67],[1,4,65],[1,5,35],[1,6,84],[1,7,98],[2,3,32],[2,4,55],[2,5,2],[2,6,37],[2,7,37],[3,4,90],[3,5,38],[3,6,76],[3,7,20],[4,5,67],[4,6,7],[4,7,80],[5,6,84],[5,7,67],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (3,7)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,68],[0,4,87],[0,5,96],[0,6,11],[0,7,95],[1,3,67],[1,4,65],[1,5,35],[1,6,84],[1,7,98],[2,3,32],[2,4,55],[2,5,2],[2,6,37],[2,7,37],[3,4,90],[3,5,38],[3,6,76],[3,7,20],[4,5,67],[4,6,7],[4,7,80],[5,6,84],[5,7,67],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (0,2)=4, w=6\",\"Add (4,6)=7, w=13\",\"Add (0,6)=11, w=24\",\"Add (3,7)=20, w=44\",\"Add (2,3)=32, w=76\",\"Add (1,5)=35, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,68],[0,4,87],[0,5,96],[0,6,11],[0,7,95],[1,3,67],[1,4,65],[1,5,35],[1,6,84],[1,7,98],[2,3,32],[2,4,55],[2,5,2],[2,6,37],[2,7,37],[3,4,90],[3,5,38],[3,6,76],[3,7,20],[4,5,67],[4,6,7],[4,7,80],[5,6,84],[5,7,67],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (0,2)=4 Succeeded, w=6\",\"Add (4,6)=7 Succeeded, w=13\",\"Add (0,6)=11 Succeeded, w=24\",\"Add (3,7)=20 Succeeded, w=44\",\"Add (2,3)=32 Succeeded, w=76\",\"Add (1,5)=35 Succeeded, w=111\",\"Add (2,6)=37 Failed, w=111\",\"Add (2,7)=37 Failed, w=111\",\"Add (3,5)=38 Failed, w=111\",\"Add (6,7)=44 Failed, w=111\",\"Add (2,4)=55 Failed, w=111\",\"Add (1,4)=65 Failed, w=111\",\"Add (1,3)=67 Failed, w=111\",\"Add (4,5)=67 Failed, w=111\",\"Add (5,7)=67 Failed, w=111\",\"Add (0,3)=68 Failed, w=111\",\"Add (3,6)=76 Failed, w=111\",\"Add (4,7)=80 Failed, w=111\",\"Add (1,6)=84 Failed, w=111\",\"Add (5,6)=84 Failed, w=111\",\"Add (0,4)=87 Failed, w=111\",\"Add (3,4)=90 Failed, w=111\",\"Add (0,7)=95 Failed, w=111\",\"Add (0,5)=96 Failed, w=111\",\"Add (1,7)=98 Failed, w=111\",\"Add (0,1)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,68],[0,4,87],[0,5,96],[0,6,11],[0,7,95],[1,3,67],[1,4,65],[1,5,35],[1,6,84],[1,7,98],[2,3,32],[2,4,55],[2,5,2],[2,6,37],[2,7,37],[3,4,90],[3,5,38],[3,6,76],[3,7,20],[4,5,67],[4,6,7],[4,7,80],[5,6,84],[5,7,67],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(0,2)=4,(4,6)=7,(0,6)=11,(3,7)=20,(2,3)=32,(1,5)=35,(2,6)=37,(2,7)=37,(3,5)=38,(6,7)=44,(2,4)=55,(1,4)=65,(1,3)=67,(4,5)=67,(5,7)=67,(0,3)=68,(3,6)=76,(4,7)=80,(1,6)=84,(5,6)=84,(0,4)=87,(3,4)=90,(0,7)=95,(0,5)=96,(1,7)=98,(0,1)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=6\",\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=13\",\"Find(0)=2, Find(6)=4, Add (0,6)=11 Succeeded, w=24\",\"Find(3)=3, Find(7)=7, Add (3,7)=20 Succeeded, w=44\",\"Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=76\",\"Find(1)=1, Find(5)=2, Add (1,5)=35 Succeeded, w=111\",\"Find(2)=2, Find(6)=2, Add (2,6)=37 Failed, w=111\",\"Find(2)=2, Find(7)=2, Add (2,7)=37 Failed, w=111\",\"Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=111\",\"Find(6)=2, Find(7)=2, Add (6,7)=44 Failed, w=111\",\"Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=111\",\"Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=111\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=111\",\"Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=111\",\"Find(5)=2, Find(7)=2, Add (5,7)=67 Failed, w=111\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=111\",\"Find(3)=2, Find(6)=2, Add (3,6)=76 Failed, w=111\",\"Find(4)=2, Find(7)=2, Add (4,7)=80 Failed, w=111\",\"Find(1)=2, Find(6)=2, Add (1,6)=84 Failed, w=111\",\"Find(5)=2, Find(6)=2, Add (5,6)=84 Failed, w=111\",\"Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=111\",\"Find(3)=2, Find(4)=2, Add (3,4)=90 Failed, w=111\",\"Find(0)=2, Find(7)=2, Add (0,7)=95 Failed, w=111\",\"Find(0)=2, Find(5)=2, Add (0,5)=96 Failed, w=111\",\"Find(1)=2, Find(7)=2, Add (1,7)=98 Failed, w=111\",\"Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,4],[0,3,68],[0,4,87],[0,5,96],[0,6,11],[0,7,95],[1,3,67],[1,4,65],[1,5,35],[1,6,84],[1,7,98],[2,3,32],[2,4,55],[2,5,2],[2,6,37],[2,7,37],[3,4,90],[3,5,38],[3,6,76],[3,7,20],[4,5,67],[4,6,7],[4,7,80],[5,6,84],[5,7,67],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(0,2)=4,(4,6)=7,(0,6)=11,(3,7)=20,(2,3)=32,(1,5)=35,(2,6)=37,(2,7)=37,(3,5)=38,(6,7)=44,(2,4)=55,(1,4)=65,(1,3)=67,(4,5)=67,(5,7)=67,(0,3)=68,(3,6)=76,(4,7)=80,(1,6)=84,(5,6)=84,(0,4)=87,(3,4)=90,(0,7)=95,(0,5)=96,(1,7)=98,(0,1)=99]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4, 7: 7}, Find(0)=2, Find(6)=4, Add (0,6)=11 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=20 Succeeded, w=44\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 3}, Find(1)=1, Find(5)=2, Add (1,5)=35 Succeeded, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 3}, Find(2)=2, Find(6)=2, Add (2,6)=37 Failed, w=111\",\"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)=37 Failed, w=111\",\"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)=38 Failed, w=111\",\"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)=44 Failed, w=111\",\"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)=55 Failed, w=111\",\"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)=65 Failed, w=111\",\"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)=67 Failed, w=111\",\"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)=67 Failed, w=111\",\"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)=67 Failed, w=111\",\"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)=68 Failed, w=111\",\"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)=76 Failed, w=111\",\"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)=80 Failed, w=111\",\"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)=84 Failed, w=111\",\"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)=84 Failed, w=111\",\"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)=87 Failed, w=111\",\"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)=90 Failed, w=111\",\"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=111\",\"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)=96 Failed, w=111\",\"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)=98 Failed, w=111\",\"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)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,12],[0,3,5],[1,2,97],[1,3,39],[1,4,61],[2,3,36],[3,4,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,5],[1,2,97],[1,3,39],[1,4,61],[2,3,36],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,5],[1,2,97],[1,3,39],[1,4,61],[2,3,36],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,5],[1,2,97],[1,3,39],[1,4,61],[2,3,36],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (0,1)=12, w=17\",\"Add (2,3)=36, w=53\",\"Add (1,4)=61, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,5],[1,2,97],[1,3,39],[1,4,61],[2,3,36],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (0,1)=12 Succeeded, w=17\",\"Add (2,3)=36 Succeeded, w=53\",\"Add (1,3)=39 Failed, w=53\",\"Add (1,4)=61 Succeeded, w=114\",\"Add (3,4)=76 Failed, w=114\",\"Add (1,2)=97 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,5],[1,2,97],[1,3,39],[1,4,61],[2,3,36],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(0,1)=12,(2,3)=36,(1,3)=39,(1,4)=61,(3,4)=76,(1,2)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=17\",\"Find(2)=2, Find(3)=0, Add (2,3)=36 Succeeded, w=53\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=53\",\"Find(1)=0, Find(4)=4, Add (1,4)=61 Succeeded, w=114\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=114\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,5],[1,2,97],[1,3,39],[1,4,61],[2,3,36],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(0,1)=12,(2,3)=36,(1,3)=39,(1,4)=61,(3,4)=76,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=36 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=61 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,48],[0,3,47],[0,4,47],[1,2,83],[1,3,20],[1,4,39],[2,3,86],[2,4,70],[3,4,86]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,48],[0,3,47],[0,4,47],[1,2,83],[1,3,20],[1,4,39],[2,3,86],[2,4,70],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,48],[0,3,47],[0,4,47],[1,2,83],[1,3,20],[1,4,39],[2,3,86],[2,4,70],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,48],[0,3,47],[0,4,47],[1,2,83],[1,3,20],[1,4,39],[2,3,86],[2,4,70],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18, w=18\",\"Add (1,3)=20, w=38\",\"Add (1,4)=39, w=77\",\"Add (0,2)=48, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,48],[0,3,47],[0,4,47],[1,2,83],[1,3,20],[1,4,39],[2,3,86],[2,4,70],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18 Succeeded, w=18\",\"Add (1,3)=20 Succeeded, w=38\",\"Add (1,4)=39 Succeeded, w=77\",\"Add (0,3)=47 Failed, w=77\",\"Add (0,4)=47 Failed, w=77\",\"Add (0,2)=48 Succeeded, w=125\",\"Add (2,4)=70 Failed, w=125\",\"Add (1,2)=83 Failed, w=125\",\"Add (2,3)=86 Failed, w=125\",\"Add (3,4)=86 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,48],[0,3,47],[0,4,47],[1,2,83],[1,3,20],[1,4,39],[2,3,86],[2,4,70],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(1,3)=20,(1,4)=39,(0,3)=47,(0,4)=47,(0,2)=48,(2,4)=70,(1,2)=83,(2,3)=86,(3,4)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=38\",\"Find(1)=0, Find(4)=4, Add (1,4)=39 Succeeded, w=77\",\"Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=77\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=77\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=125\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=125\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=125\",\"Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,48],[0,3,47],[0,4,47],[1,2,83],[1,3,20],[1,4,39],[2,3,86],[2,4,70],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(1,3)=20,(1,4)=39,(0,3)=47,(0,4)=47,(0,2)=48,(2,4)=70,(1,2)=83,(2,3)=86,(3,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=39 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,79],[0,3,6],[0,4,54],[0,5,49],[0,7,83],[1,2,13],[1,3,20],[1,4,9],[1,5,14],[1,6,77],[1,7,22],[2,4,60],[2,5,36],[2,6,85],[2,7,35],[3,4,99],[3,5,49],[3,6,46],[3,7,38],[4,5,8],[4,6,51],[4,7,71],[5,6,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,79],[0,3,6],[0,4,54],[0,5,49],[0,7,83],[1,2,13],[1,3,20],[1,4,9],[1,5,14],[1,6,77],[1,7,22],[2,4,60],[2,5,36],[2,6,85],[2,7,35],[3,4,99],[3,5,49],[3,6,46],[3,7,38],[4,5,8],[4,6,51],[4,7,71],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,79],[0,3,6],[0,4,54],[0,5,49],[0,7,83],[1,2,13],[1,3,20],[1,4,9],[1,5,14],[1,6,77],[1,7,22],[2,4,60],[2,5,36],[2,6,85],[2,7,35],[3,4,99],[3,5,49],[3,6,46],[3,7,38],[4,5,8],[4,6,51],[4,7,71],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (1,7)\",\"Add (5,6)\"],\"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\":[[0,2,79],[0,3,6],[0,4,54],[0,5,49],[0,7,83],[1,2,13],[1,3,20],[1,4,9],[1,5,14],[1,6,77],[1,7,22],[2,4,60],[2,5,36],[2,6,85],[2,7,35],[3,4,99],[3,5,49],[3,6,46],[3,7,38],[4,5,8],[4,6,51],[4,7,71],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (4,5)=8, w=14\",\"Add (1,4)=9, w=23\",\"Add (1,2)=13, w=36\",\"Add (1,3)=20, w=56\",\"Add (1,7)=22, w=78\",\"Add (5,6)=38, 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\":[[0,2,79],[0,3,6],[0,4,54],[0,5,49],[0,7,83],[1,2,13],[1,3,20],[1,4,9],[1,5,14],[1,6,77],[1,7,22],[2,4,60],[2,5,36],[2,6,85],[2,7,35],[3,4,99],[3,5,49],[3,6,46],[3,7,38],[4,5,8],[4,6,51],[4,7,71],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (4,5)=8 Succeeded, w=14\",\"Add (1,4)=9 Succeeded, w=23\",\"Add (1,2)=13 Succeeded, w=36\",\"Add (1,5)=14 Failed, w=36\",\"Add (1,3)=20 Succeeded, w=56\",\"Add (1,7)=22 Succeeded, w=78\",\"Add (2,7)=35 Failed, w=78\",\"Add (2,5)=36 Failed, w=78\",\"Add (3,7)=38 Failed, w=78\",\"Add (5,6)=38 Succeeded, w=116\",\"Add (3,6)=46 Failed, w=116\",\"Add (0,5)=49 Failed, w=116\",\"Add (3,5)=49 Failed, w=116\",\"Add (4,6)=51 Failed, w=116\",\"Add (0,4)=54 Failed, w=116\",\"Add (2,4)=60 Failed, w=116\",\"Add (4,7)=71 Failed, w=116\",\"Add (1,6)=77 Failed, w=116\",\"Add (0,2)=79 Failed, w=116\",\"Add (0,7)=83 Failed, w=116\",\"Add (2,6)=85 Failed, w=116\",\"Add (3,4)=99 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\":[[0,2,79],[0,3,6],[0,4,54],[0,5,49],[0,7,83],[1,2,13],[1,3,20],[1,4,9],[1,5,14],[1,6,77],[1,7,22],[2,4,60],[2,5,36],[2,6,85],[2,7,35],[3,4,99],[3,5,49],[3,6,46],[3,7,38],[4,5,8],[4,6,51],[4,7,71],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(4,5)=8,(1,4)=9,(1,2)=13,(1,5)=14,(1,3)=20,(1,7)=22,(2,7)=35,(2,5)=36,(3,7)=38,(5,6)=38,(3,6)=46,(0,5)=49,(3,5)=49,(4,6)=51,(0,4)=54,(2,4)=60,(4,7)=71,(1,6)=77,(0,2)=79,(0,7)=83,(2,6)=85,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=14\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=23\",\"Find(1)=4, Find(2)=2, Add (1,2)=13 Succeeded, w=36\",\"Find(1)=4, Find(5)=4, Add (1,5)=14 Failed, w=36\",\"Find(1)=4, Find(3)=0, Add (1,3)=20 Succeeded, w=56\",\"Find(1)=4, Find(7)=7, Add (1,7)=22 Succeeded, w=78\",\"Find(2)=4, Find(7)=4, Add (2,7)=35 Failed, w=78\",\"Find(2)=4, Find(5)=4, Add (2,5)=36 Failed, w=78\",\"Find(3)=4, Find(7)=4, Add (3,7)=38 Failed, w=78\",\"Find(5)=4, Find(6)=6, Add (5,6)=38 Succeeded, w=116\",\"Find(3)=4, Find(6)=4, Add (3,6)=46 Failed, w=116\",\"Find(0)=4, Find(5)=4, Add (0,5)=49 Failed, w=116\",\"Find(3)=4, Find(5)=4, Add (3,5)=49 Failed, w=116\",\"Find(4)=4, Find(6)=4, Add (4,6)=51 Failed, w=116\",\"Find(0)=4, Find(4)=4, Add (0,4)=54 Failed, w=116\",\"Find(2)=4, Find(4)=4, Add (2,4)=60 Failed, w=116\",\"Find(4)=4, Find(7)=4, Add (4,7)=71 Failed, w=116\",\"Find(1)=4, Find(6)=4, Add (1,6)=77 Failed, w=116\",\"Find(0)=4, Find(2)=4, Add (0,2)=79 Failed, w=116\",\"Find(0)=4, Find(7)=4, Add (0,7)=83 Failed, w=116\",\"Find(2)=4, Find(6)=4, Add (2,6)=85 Failed, w=116\",\"Find(3)=4, Find(4)=4, Add (3,4)=99 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\":[[0,2,79],[0,3,6],[0,4,54],[0,5,49],[0,7,83],[1,2,13],[1,3,20],[1,4,9],[1,5,14],[1,6,77],[1,7,22],[2,4,60],[2,5,36],[2,6,85],[2,7,35],[3,4,99],[3,5,49],[3,6,46],[3,7,38],[4,5,8],[4,6,51],[4,7,71],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(4,5)=8,(1,4)=9,(1,2)=13,(1,5)=14,(1,3)=20,(1,7)=22,(2,7)=35,(2,5)=36,(3,7)=38,(5,6)=38,(3,6)=46,(0,5)=49,(3,5)=49,(4,6)=51,(0,4)=54,(2,4)=60,(4,7)=71,(1,6)=77,(0,2)=79,(0,7)=83,(2,6)=85,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=23\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=4, Find(2)=2, Add (1,2)=13 Succeeded, w=36\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=4, Find(5)=4, Add (1,5)=14 Failed, w=36\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=4, Find(3)=0, Add (1,3)=20 Succeeded, w=56\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 6, 7: 4}, Find(1)=4, Find(7)=7, Add (1,7)=22 Succeeded, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 6, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=35 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 6, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=36 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=38 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=6, Add (5,6)=38 Succeeded, w=116\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=46 Failed, w=116\",\"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)=49 Failed, w=116\",\"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)=49 Failed, w=116\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=51 Failed, w=116\",\"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)=54 Failed, w=116\",\"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)=60 Failed, w=116\",\"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)=71 Failed, w=116\",\"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)=77 Failed, w=116\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=79 Failed, w=116\",\"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)=83 Failed, w=116\",\"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)=85 Failed, w=116\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=99 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,92],[0,4,32],[0,5,75],[1,2,21],[2,4,25],[2,5,17],[3,4,51],[3,5,53],[4,5,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,92],[0,4,32],[0,5,75],[1,2,21],[2,4,25],[2,5,17],[3,4,51],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,92],[0,4,32],[0,5,75],[1,2,21],[2,4,25],[2,5,17],[3,4,51],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":146}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,92],[0,4,32],[0,5,75],[1,2,21],[2,4,25],[2,5,17],[3,4,51],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=17, w=17\",\"Add (1,2)=21, w=38\",\"Add (2,4)=25, w=63\",\"Add (0,4)=32, w=95\",\"Add (3,4)=51, w=146\"],\"Answer\":146}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,92],[0,4,32],[0,5,75],[1,2,21],[2,4,25],[2,5,17],[3,4,51],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=17 Succeeded, w=17\",\"Add (1,2)=21 Succeeded, w=38\",\"Add (2,4)=25 Succeeded, w=63\",\"Add (0,4)=32 Succeeded, w=95\",\"Add (4,5)=45 Failed, w=95\",\"Add (3,4)=51 Succeeded, w=146\",\"Add (3,5)=53 Failed, w=146\",\"Add (0,5)=75 Failed, w=146\",\"Add (0,3)=92 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,92],[0,4,32],[0,5,75],[1,2,21],[2,4,25],[2,5,17],[3,4,51],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=17,(1,2)=21,(2,4)=25,(0,4)=32,(4,5)=45,(3,4)=51,(3,5)=53,(0,5)=75,(0,3)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=17\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=38\",\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=63\",\"Find(0)=0, Find(4)=2, Add (0,4)=32 Succeeded, w=95\",\"Find(4)=2, Find(5)=2, Add (4,5)=45 Failed, w=95\",\"Find(3)=3, Find(4)=2, Add (3,4)=51 Succeeded, w=146\",\"Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=146\",\"Find(0)=2, Find(5)=2, Add (0,5)=75 Failed, w=146\",\"Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,92],[0,4,32],[0,5,75],[1,2,21],[2,4,25],[2,5,17],[3,4,51],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=17,(1,2)=21,(2,4)=25,(0,4)=32,(4,5)=45,(3,4)=51,(3,5)=53,(0,5)=75,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=32 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=45 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=51 Succeeded, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=75 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,54],[0,3,90],[0,4,2],[1,3,63],[1,4,98],[1,5,98],[2,3,61],[2,4,29],[3,4,20],[3,5,10],[4,5,61]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,54],[0,3,90],[0,4,2],[1,3,63],[1,4,98],[1,5,98],[2,3,61],[2,4,29],[3,4,20],[3,5,10],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,54],[0,3,90],[0,4,2],[1,3,63],[1,4,98],[1,5,98],[2,3,61],[2,4,29],[3,4,20],[3,5,10],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,54],[0,3,90],[0,4,2],[1,3,63],[1,4,98],[1,5,98],[2,3,61],[2,4,29],[3,4,20],[3,5,10],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (3,5)=10, w=12\",\"Add (0,1)=13, w=25\",\"Add (3,4)=20, w=45\",\"Add (2,4)=29, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,54],[0,3,90],[0,4,2],[1,3,63],[1,4,98],[1,5,98],[2,3,61],[2,4,29],[3,4,20],[3,5,10],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,5)=10 Succeeded, w=12\",\"Add (0,1)=13 Succeeded, w=25\",\"Add (3,4)=20 Succeeded, w=45\",\"Add (2,4)=29 Succeeded, w=74\",\"Add (0,2)=54 Failed, w=74\",\"Add (2,3)=61 Failed, w=74\",\"Add (4,5)=61 Failed, w=74\",\"Add (1,3)=63 Failed, w=74\",\"Add (0,3)=90 Failed, w=74\",\"Add (1,4)=98 Failed, w=74\",\"Add (1,5)=98 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,54],[0,3,90],[0,4,2],[1,3,63],[1,4,98],[1,5,98],[2,3,61],[2,4,29],[3,4,20],[3,5,10],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,5)=10,(0,1)=13,(3,4)=20,(2,4)=29,(0,2)=54,(2,3)=61,(4,5)=61,(1,3)=63,(0,3)=90,(1,4)=98,(1,5)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=25\",\"Find(3)=3, Find(4)=0, Add (3,4)=20 Succeeded, w=45\",\"Find(2)=2, Find(4)=3, Add (2,4)=29 Succeeded, w=74\",\"Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=74\",\"Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=74\",\"Find(4)=3, Find(5)=3, Add (4,5)=61 Failed, w=74\",\"Find(1)=3, Find(3)=3, Add (1,3)=63 Failed, w=74\",\"Find(0)=3, Find(3)=3, Add (0,3)=90 Failed, w=74\",\"Find(1)=3, Find(4)=3, Add (1,4)=98 Failed, w=74\",\"Find(1)=3, Find(5)=3, Add (1,5)=98 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,54],[0,3,90],[0,4,2],[1,3,63],[1,4,98],[1,5,98],[2,3,61],[2,4,29],[3,4,20],[3,5,10],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,5)=10,(0,1)=13,(3,4)=20,(2,4)=29,(0,2)=54,(2,3)=61,(4,5)=61,(1,3)=63,(0,3)=90,(1,4)=98,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=25\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(4)=0, Add (3,4)=20 Succeeded, w=45\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(4)=3, Add (2,4)=29 Succeeded, w=74\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=74\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=74\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=61 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=63 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=90 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=98 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=98 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,15],[1,2,71],[1,3,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[1,2,71],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[1,2,71],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[1,2,71],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=15, w=15\",\"Add (1,2)=71, w=86\",\"Add (1,3)=81, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[1,2,71],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=15 Succeeded, w=15\",\"Add (1,2)=71 Succeeded, w=86\",\"Add (1,3)=81 Succeeded, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[1,2,71],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=15,(1,2)=71,(1,3)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=15\",\"Find(1)=1, Find(2)=0, Add (1,2)=71 Succeeded, w=86\",\"Find(1)=0, Find(3)=3, Add (1,3)=81 Succeeded, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[1,2,71],[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=15,(1,2)=71,(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=71 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=81 Succeeded, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,2,96],[0,3,76],[0,4,9],[0,5,80],[0,6,4],[0,7,48],[1,2,37],[1,3,19],[1,5,22],[1,6,4],[1,7,31],[2,3,17],[2,4,94],[2,5,69],[2,6,9],[2,7,49],[3,4,46],[3,5,72],[3,6,5],[3,7,72],[4,5,81],[4,7,80],[5,6,86],[5,7,62],[6,7,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,96],[0,3,76],[0,4,9],[0,5,80],[0,6,4],[0,7,48],[1,2,37],[1,3,19],[1,5,22],[1,6,4],[1,7,31],[2,3,17],[2,4,94],[2,5,69],[2,6,9],[2,7,49],[3,4,46],[3,5,72],[3,6,5],[3,7,72],[4,5,81],[4,7,80],[5,6,86],[5,7,62],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,96],[0,3,76],[0,4,9],[0,5,80],[0,6,4],[0,7,48],[1,2,37],[1,3,19],[1,5,22],[1,6,4],[1,7,31],[2,3,17],[2,4,94],[2,5,69],[2,6,9],[2,7,49],[3,4,46],[3,5,72],[3,6,5],[3,7,72],[4,5,81],[4,7,80],[5,6,86],[5,7,62],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (1,7)\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,96],[0,3,76],[0,4,9],[0,5,80],[0,6,4],[0,7,48],[1,2,37],[1,3,19],[1,5,22],[1,6,4],[1,7,31],[2,3,17],[2,4,94],[2,5,69],[2,6,9],[2,7,49],[3,4,46],[3,5,72],[3,6,5],[3,7,72],[4,5,81],[4,7,80],[5,6,86],[5,7,62],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4, w=4\",\"Add (1,6)=4, w=8\",\"Add (3,6)=5, w=13\",\"Add (0,4)=9, w=22\",\"Add (2,6)=9, w=31\",\"Add (1,5)=22, w=53\",\"Add (1,7)=31, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,96],[0,3,76],[0,4,9],[0,5,80],[0,6,4],[0,7,48],[1,2,37],[1,3,19],[1,5,22],[1,6,4],[1,7,31],[2,3,17],[2,4,94],[2,5,69],[2,6,9],[2,7,49],[3,4,46],[3,5,72],[3,6,5],[3,7,72],[4,5,81],[4,7,80],[5,6,86],[5,7,62],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4 Succeeded, w=4\",\"Add (1,6)=4 Succeeded, w=8\",\"Add (3,6)=5 Succeeded, w=13\",\"Add (0,4)=9 Succeeded, w=22\",\"Add (2,6)=9 Succeeded, w=31\",\"Add (2,3)=17 Failed, w=31\",\"Add (1,3)=19 Failed, w=31\",\"Add (1,5)=22 Succeeded, w=53\",\"Add (1,7)=31 Succeeded, w=84\",\"Add (6,7)=34 Failed, w=84\",\"Add (1,2)=37 Failed, w=84\",\"Add (3,4)=46 Failed, w=84\",\"Add (0,7)=48 Failed, w=84\",\"Add (2,7)=49 Failed, w=84\",\"Add (5,7)=62 Failed, w=84\",\"Add (2,5)=69 Failed, w=84\",\"Add (3,5)=72 Failed, w=84\",\"Add (3,7)=72 Failed, w=84\",\"Add (0,3)=76 Failed, w=84\",\"Add (0,5)=80 Failed, w=84\",\"Add (4,7)=80 Failed, w=84\",\"Add (4,5)=81 Failed, w=84\",\"Add (5,6)=86 Failed, w=84\",\"Add (0,1)=92 Failed, w=84\",\"Add (2,4)=94 Failed, w=84\",\"Add (0,2)=96 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,96],[0,3,76],[0,4,9],[0,5,80],[0,6,4],[0,7,48],[1,2,37],[1,3,19],[1,5,22],[1,6,4],[1,7,31],[2,3,17],[2,4,94],[2,5,69],[2,6,9],[2,7,49],[3,4,46],[3,5,72],[3,6,5],[3,7,72],[4,5,81],[4,7,80],[5,6,86],[5,7,62],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(1,6)=4,(3,6)=5,(0,4)=9,(2,6)=9,(2,3)=17,(1,3)=19,(1,5)=22,(1,7)=31,(6,7)=34,(1,2)=37,(3,4)=46,(0,7)=48,(2,7)=49,(5,7)=62,(2,5)=69,(3,5)=72,(3,7)=72,(0,3)=76,(0,5)=80,(4,7)=80,(4,5)=81,(5,6)=86,(0,1)=92,(2,4)=94,(0,2)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=0, Add (1,6)=4 Succeeded, w=8\",\"Find(3)=3, Find(6)=0, Add (3,6)=5 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=22\",\"Find(2)=2, Find(6)=0, Add (2,6)=9 Succeeded, w=31\",\"Find(2)=0, Find(3)=0, Add (2,3)=17 Failed, w=31\",\"Find(1)=0, Find(3)=0, Add (1,3)=19 Failed, w=31\",\"Find(1)=0, Find(5)=5, Add (1,5)=22 Succeeded, w=53\",\"Find(1)=0, Find(7)=7, Add (1,7)=31 Succeeded, w=84\",\"Find(6)=0, Find(7)=0, Add (6,7)=34 Failed, w=84\",\"Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=84\",\"Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=84\",\"Find(0)=0, Find(7)=0, Add (0,7)=48 Failed, w=84\",\"Find(2)=0, Find(7)=0, Add (2,7)=49 Failed, w=84\",\"Find(5)=0, Find(7)=0, Add (5,7)=62 Failed, w=84\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=84\",\"Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=84\",\"Find(3)=0, Find(7)=0, Add (3,7)=72 Failed, w=84\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=84\",\"Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=84\",\"Find(4)=0, Find(7)=0, Add (4,7)=80 Failed, w=84\",\"Find(4)=0, Find(5)=0, Add (4,5)=81 Failed, w=84\",\"Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=84\",\"Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=84\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=84\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,96],[0,3,76],[0,4,9],[0,5,80],[0,6,4],[0,7,48],[1,2,37],[1,3,19],[1,5,22],[1,6,4],[1,7,31],[2,3,17],[2,4,94],[2,5,69],[2,6,9],[2,7,49],[3,4,46],[3,5,72],[3,6,5],[3,7,72],[4,5,81],[4,7,80],[5,6,86],[5,7,62],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(1,6)=4,(3,6)=5,(0,4)=9,(2,6)=9,(2,3)=17,(1,3)=19,(1,5)=22,(1,7)=31,(6,7)=34,(1,2)=37,(3,4)=46,(0,7)=48,(2,7)=49,(5,7)=62,(2,5)=69,(3,5)=72,(3,7)=72,(0,3)=76,(0,5)=80,(4,7)=80,(4,5)=81,(5,6)=86,(0,1)=92,(2,4)=94,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(3)=3, Find(6)=0, Add (3,6)=5 Succeeded, w=13\",\"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=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(2)=2, Find(6)=0, Add (2,6)=9 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=17 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(1)=0, Find(3)=0, Add (1,3)=19 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=22 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=31 Succeeded, w=84\",\"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)=34 Failed, w=84\",\"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)=37 Failed, w=84\",\"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)=46 Failed, w=84\",\"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)=48 Failed, w=84\",\"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)=49 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=62 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=84\",\"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)=72 Failed, w=84\",\"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)=72 Failed, w=84\",\"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)=76 Failed, w=84\",\"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)=80 Failed, w=84\",\"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=84\",\"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)=81 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=84\",\"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)=92 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=84\",\"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)=96 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,93],[0,4,84],[0,6,28],[1,4,57],[2,3,55],[2,4,1],[2,6,99],[3,5,78],[4,5,33],[4,6,16],[5,6,71]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,93],[0,4,84],[0,6,28],[1,4,57],[2,3,55],[2,4,1],[2,6,99],[3,5,78],[4,5,33],[4,6,16],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,93],[0,4,84],[0,6,28],[1,4,57],[2,3,55],[2,4,1],[2,6,99],[3,5,78],[4,5,33],[4,6,16],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,93],[0,4,84],[0,6,28],[1,4,57],[2,3,55],[2,4,1],[2,6,99],[3,5,78],[4,5,33],[4,6,16],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (4,6)=16, w=17\",\"Add (0,6)=28, w=45\",\"Add (4,5)=33, w=78\",\"Add (2,3)=55, w=133\",\"Add (1,4)=57, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,93],[0,4,84],[0,6,28],[1,4,57],[2,3,55],[2,4,1],[2,6,99],[3,5,78],[4,5,33],[4,6,16],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (4,6)=16 Succeeded, w=17\",\"Add (0,6)=28 Succeeded, w=45\",\"Add (4,5)=33 Succeeded, w=78\",\"Add (2,3)=55 Succeeded, w=133\",\"Add (1,4)=57 Succeeded, w=190\",\"Add (5,6)=71 Failed, w=190\",\"Add (3,5)=78 Failed, w=190\",\"Add (0,4)=84 Failed, w=190\",\"Add (0,3)=93 Failed, w=190\",\"Add (2,6)=99 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,93],[0,4,84],[0,6,28],[1,4,57],[2,3,55],[2,4,1],[2,6,99],[3,5,78],[4,5,33],[4,6,16],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,6)=16,(0,6)=28,(4,5)=33,(2,3)=55,(1,4)=57,(5,6)=71,(3,5)=78,(0,4)=84,(0,3)=93,(2,6)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(4)=2, Find(6)=6, Add (4,6)=16 Succeeded, w=17\",\"Find(0)=0, Find(6)=2, Add (0,6)=28 Succeeded, w=45\",\"Find(4)=2, Find(5)=5, Add (4,5)=33 Succeeded, w=78\",\"Find(2)=2, Find(3)=3, Add (2,3)=55 Succeeded, w=133\",\"Find(1)=1, Find(4)=2, Add (1,4)=57 Succeeded, w=190\",\"Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=190\",\"Find(3)=2, Find(5)=2, Add (3,5)=78 Failed, w=190\",\"Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=190\",\"Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=190\",\"Find(2)=2, Find(6)=2, Add (2,6)=99 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,93],[0,4,84],[0,6,28],[1,4,57],[2,3,55],[2,4,1],[2,6,99],[3,5,78],[4,5,33],[4,6,16],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,6)=16,(0,6)=28,(4,5)=33,(2,3)=55,(1,4)=57,(5,6)=71,(3,5)=78,(0,4)=84,(0,3)=93,(2,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=16 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=28 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=5, Add (4,5)=33 Succeeded, w=78\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=55 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(4)=2, Add (1,4)=57 Succeeded, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=78 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=99 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,1],[0,2,21],[1,2,19],[1,3,60],[2,3,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,21],[1,2,19],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,21],[1,2,19],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,21],[1,2,19],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (1,2)=19, w=20\",\"Add (1,3)=60, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,21],[1,2,19],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (1,2)=19 Succeeded, w=20\",\"Add (0,2)=21 Failed, w=20\",\"Add (1,3)=60 Succeeded, w=80\",\"Add (2,3)=83 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,21],[1,2,19],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,2)=19,(0,2)=21,(1,3)=60,(2,3)=83]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(1)=0, Find(2)=2, Add (1,2)=19 Succeeded, w=20\",\"Find(0)=0, Find(2)=0, Add (0,2)=21 Failed, w=20\",\"Find(1)=0, Find(3)=3, Add (1,3)=60 Succeeded, w=80\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,21],[1,2,19],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,2)=19,(0,2)=21,(1,3)=60,(2,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=19 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=0, Add (0,2)=21 Failed, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=60 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,31],[0,3,79],[0,5,26],[0,7,21],[1,2,93],[1,3,81],[1,5,85],[1,7,59],[2,5,54],[2,6,64],[2,7,50],[3,4,97],[3,5,59],[3,6,31],[3,7,48],[4,7,31],[5,7,50]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,79],[0,5,26],[0,7,21],[1,2,93],[1,3,81],[1,5,85],[1,7,59],[2,5,54],[2,6,64],[2,7,50],[3,4,97],[3,5,59],[3,6,31],[3,7,48],[4,7,31],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,79],[0,5,26],[0,7,21],[1,2,93],[1,3,81],[1,5,85],[1,7,59],[2,5,54],[2,6,64],[2,7,50],[3,4,97],[3,5,59],[3,6,31],[3,7,48],[4,7,31],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (3,7)\",\"Add (2,7)\"],\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,79],[0,5,26],[0,7,21],[1,2,93],[1,3,81],[1,5,85],[1,7,59],[2,5,54],[2,6,64],[2,7,50],[3,4,97],[3,5,59],[3,6,31],[3,7,48],[4,7,31],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=21, w=21\",\"Add (0,5)=26, w=47\",\"Add (0,1)=31, w=78\",\"Add (3,6)=31, w=109\",\"Add (4,7)=31, w=140\",\"Add (3,7)=48, w=188\",\"Add (2,7)=50, w=238\"],\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,79],[0,5,26],[0,7,21],[1,2,93],[1,3,81],[1,5,85],[1,7,59],[2,5,54],[2,6,64],[2,7,50],[3,4,97],[3,5,59],[3,6,31],[3,7,48],[4,7,31],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=21 Succeeded, w=21\",\"Add (0,5)=26 Succeeded, w=47\",\"Add (0,1)=31 Succeeded, w=78\",\"Add (3,6)=31 Succeeded, w=109\",\"Add (4,7)=31 Succeeded, w=140\",\"Add (3,7)=48 Succeeded, w=188\",\"Add (2,7)=50 Succeeded, w=238\",\"Add (5,7)=50 Failed, w=238\",\"Add (2,5)=54 Failed, w=238\",\"Add (1,7)=59 Failed, w=238\",\"Add (3,5)=59 Failed, w=238\",\"Add (2,6)=64 Failed, w=238\",\"Add (0,3)=79 Failed, w=238\",\"Add (1,3)=81 Failed, w=238\",\"Add (1,5)=85 Failed, w=238\",\"Add (1,2)=93 Failed, w=238\",\"Add (3,4)=97 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,79],[0,5,26],[0,7,21],[1,2,93],[1,3,81],[1,5,85],[1,7,59],[2,5,54],[2,6,64],[2,7,50],[3,4,97],[3,5,59],[3,6,31],[3,7,48],[4,7,31],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=21,(0,5)=26,(0,1)=31,(3,6)=31,(4,7)=31,(3,7)=48,(2,7)=50,(5,7)=50,(2,5)=54,(1,7)=59,(3,5)=59,(2,6)=64,(0,3)=79,(1,3)=81,(1,5)=85,(1,2)=93,(3,4)=97]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=21 Succeeded, w=21\",\"Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=47\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=78\",\"Find(3)=3, Find(6)=6, Add (3,6)=31 Succeeded, w=109\",\"Find(4)=4, Find(7)=0, Add (4,7)=31 Succeeded, w=140\",\"Find(3)=3, Find(7)=0, Add (3,7)=48 Succeeded, w=188\",\"Find(2)=2, Find(7)=3, Add (2,7)=50 Succeeded, w=238\",\"Find(5)=3, Find(7)=3, Add (5,7)=50 Failed, w=238\",\"Find(2)=3, Find(5)=3, Add (2,5)=54 Failed, w=238\",\"Find(1)=3, Find(7)=3, Add (1,7)=59 Failed, w=238\",\"Find(3)=3, Find(5)=3, Add (3,5)=59 Failed, w=238\",\"Find(2)=3, Find(6)=3, Add (2,6)=64 Failed, w=238\",\"Find(0)=3, Find(3)=3, Add (0,3)=79 Failed, w=238\",\"Find(1)=3, Find(3)=3, Add (1,3)=81 Failed, w=238\",\"Find(1)=3, Find(5)=3, Add (1,5)=85 Failed, w=238\",\"Find(1)=3, Find(2)=3, Add (1,2)=93 Failed, w=238\",\"Find(3)=3, Find(4)=3, Add (3,4)=97 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,79],[0,5,26],[0,7,21],[1,2,93],[1,3,81],[1,5,85],[1,7,59],[2,5,54],[2,6,64],[2,7,50],[3,4,97],[3,5,59],[3,6,31],[3,7,48],[4,7,31],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=21,(0,5)=26,(0,1)=31,(3,6)=31,(4,7)=31,(3,7)=48,(2,7)=50,(5,7)=50,(2,5)=54,(1,7)=59,(3,5)=59,(2,6)=64,(0,3)=79,(1,3)=81,(1,5)=85,(1,2)=93,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=31 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 3, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=31 Succeeded, w=140\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 3, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=48 Succeeded, w=188\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 0, 5: 0, 6: 3, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=50 Succeeded, w=238\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=50 Failed, w=238\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=54 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=59 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=59 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=64 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=79 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=81 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=85 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=93 Failed, w=238\",\"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)=97 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,69],[0,2,13],[0,3,17],[1,2,18],[1,3,70]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,13],[0,3,17],[1,2,18],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,13],[0,3,17],[1,2,18],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,13],[0,3,17],[1,2,18],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (0,3)=17, w=30\",\"Add (1,2)=18, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,13],[0,3,17],[1,2,18],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (0,3)=17 Succeeded, w=30\",\"Add (1,2)=18 Succeeded, w=48\",\"Add (0,1)=69 Failed, w=48\",\"Add (1,3)=70 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,13],[0,3,17],[1,2,18],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(0,3)=17,(1,2)=18,(0,1)=69,(1,3)=70]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=30\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=48\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=48\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,13],[0,3,17],[1,2,18],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(0,3)=17,(1,2)=18,(0,1)=69,(1,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,2,91],[0,3,76],[0,5,36],[0,6,6],[1,2,37],[1,3,38],[1,4,34],[1,6,23],[2,3,72],[2,4,6],[2,5,7],[2,6,65],[3,5,54],[3,6,66],[4,5,37],[4,6,38],[5,6,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,91],[0,3,76],[0,5,36],[0,6,6],[1,2,37],[1,3,38],[1,4,34],[1,6,23],[2,3,72],[2,4,6],[2,5,7],[2,6,65],[3,5,54],[3,6,66],[4,5,37],[4,6,38],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,91],[0,3,76],[0,5,36],[0,6,6],[1,2,37],[1,3,38],[1,4,34],[1,6,23],[2,3,72],[2,4,6],[2,5,7],[2,6,65],[3,5,54],[3,6,66],[4,5,37],[4,6,38],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (1,3)\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,91],[0,3,76],[0,5,36],[0,6,6],[1,2,37],[1,3,38],[1,4,34],[1,6,23],[2,3,72],[2,4,6],[2,5,7],[2,6,65],[3,5,54],[3,6,66],[4,5,37],[4,6,38],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6, w=6\",\"Add (2,4)=6, w=12\",\"Add (2,5)=7, w=19\",\"Add (5,6)=11, w=30\",\"Add (1,6)=23, w=53\",\"Add (1,3)=38, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,91],[0,3,76],[0,5,36],[0,6,6],[1,2,37],[1,3,38],[1,4,34],[1,6,23],[2,3,72],[2,4,6],[2,5,7],[2,6,65],[3,5,54],[3,6,66],[4,5,37],[4,6,38],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6 Succeeded, w=6\",\"Add (2,4)=6 Succeeded, w=12\",\"Add (2,5)=7 Succeeded, w=19\",\"Add (5,6)=11 Succeeded, w=30\",\"Add (1,6)=23 Succeeded, w=53\",\"Add (1,4)=34 Failed, w=53\",\"Add (0,5)=36 Failed, w=53\",\"Add (1,2)=37 Failed, w=53\",\"Add (4,5)=37 Failed, w=53\",\"Add (1,3)=38 Succeeded, w=91\",\"Add (4,6)=38 Failed, w=91\",\"Add (0,1)=48 Failed, w=91\",\"Add (3,5)=54 Failed, w=91\",\"Add (2,6)=65 Failed, w=91\",\"Add (3,6)=66 Failed, w=91\",\"Add (2,3)=72 Failed, w=91\",\"Add (0,3)=76 Failed, w=91\",\"Add (0,2)=91 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,91],[0,3,76],[0,5,36],[0,6,6],[1,2,37],[1,3,38],[1,4,34],[1,6,23],[2,3,72],[2,4,6],[2,5,7],[2,6,65],[3,5,54],[3,6,66],[4,5,37],[4,6,38],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(2,4)=6,(2,5)=7,(5,6)=11,(1,6)=23,(1,4)=34,(0,5)=36,(1,2)=37,(4,5)=37,(1,3)=38,(4,6)=38,(0,1)=48,(3,5)=54,(2,6)=65,(3,6)=66,(2,3)=72,(0,3)=76,(0,2)=91]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=12\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=19\",\"Find(5)=2, Find(6)=0, Add (5,6)=11 Succeeded, w=30\",\"Find(1)=1, Find(6)=2, Add (1,6)=23 Succeeded, w=53\",\"Find(1)=2, Find(4)=2, Add (1,4)=34 Failed, w=53\",\"Find(0)=2, Find(5)=2, Add (0,5)=36 Failed, w=53\",\"Find(1)=2, Find(2)=2, Add (1,2)=37 Failed, w=53\",\"Find(4)=2, Find(5)=2, Add (4,5)=37 Failed, w=53\",\"Find(1)=2, Find(3)=3, Add (1,3)=38 Succeeded, w=91\",\"Find(4)=2, Find(6)=2, Add (4,6)=38 Failed, w=91\",\"Find(0)=2, Find(1)=2, Add (0,1)=48 Failed, w=91\",\"Find(3)=2, Find(5)=2, Add (3,5)=54 Failed, w=91\",\"Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=91\",\"Find(3)=2, Find(6)=2, Add (3,6)=66 Failed, w=91\",\"Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=91\",\"Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=91\",\"Find(0)=2, Find(2)=2, Add (0,2)=91 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,91],[0,3,76],[0,5,36],[0,6,6],[1,2,37],[1,3,38],[1,4,34],[1,6,23],[2,3,72],[2,4,6],[2,5,7],[2,6,65],[3,5,54],[3,6,66],[4,5,37],[4,6,38],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(2,4)=6,(2,5)=7,(5,6)=11,(1,6)=23,(1,4)=34,(0,5)=36,(1,2)=37,(4,5)=37,(1,3)=38,(4,6)=38,(0,1)=48,(3,5)=54,(2,6)=65,(3,6)=66,(2,3)=72,(0,3)=76,(0,2)=91]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(5)=2, Find(6)=0, Add (5,6)=11 Succeeded, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=23 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=34 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=36 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=37 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=37 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=3, Add (1,3)=38 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=38 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=48 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=54 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=66 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=91 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,78],[0,2,69],[0,3,90],[0,5,43],[1,2,40],[1,4,2],[2,3,55],[2,5,35],[3,5,92],[4,5,30]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,69],[0,3,90],[0,5,43],[1,2,40],[1,4,2],[2,3,55],[2,5,35],[3,5,92],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,69],[0,3,90],[0,5,43],[1,2,40],[1,4,2],[2,3,55],[2,5,35],[3,5,92],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,69],[0,3,90],[0,5,43],[1,2,40],[1,4,2],[2,3,55],[2,5,35],[3,5,92],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (4,5)=30, w=32\",\"Add (2,5)=35, w=67\",\"Add (0,5)=43, w=110\",\"Add (2,3)=55, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,69],[0,3,90],[0,5,43],[1,2,40],[1,4,2],[2,3,55],[2,5,35],[3,5,92],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (4,5)=30 Succeeded, w=32\",\"Add (2,5)=35 Succeeded, w=67\",\"Add (1,2)=40 Failed, w=67\",\"Add (0,5)=43 Succeeded, w=110\",\"Add (2,3)=55 Succeeded, w=165\",\"Add (0,2)=69 Failed, w=165\",\"Add (0,1)=78 Failed, w=165\",\"Add (0,3)=90 Failed, w=165\",\"Add (3,5)=92 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,69],[0,3,90],[0,5,43],[1,2,40],[1,4,2],[2,3,55],[2,5,35],[3,5,92],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(4,5)=30,(2,5)=35,(1,2)=40,(0,5)=43,(2,3)=55,(0,2)=69,(0,1)=78,(0,3)=90,(3,5)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(4)=1, Find(5)=5, Add (4,5)=30 Succeeded, w=32\",\"Find(2)=2, Find(5)=1, Add (2,5)=35 Succeeded, w=67\",\"Find(1)=1, Find(2)=1, Add (1,2)=40 Failed, w=67\",\"Find(0)=0, Find(5)=1, Add (0,5)=43 Succeeded, w=110\",\"Find(2)=1, Find(3)=3, Add (2,3)=55 Succeeded, w=165\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=165\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=165\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=165\",\"Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,69],[0,3,90],[0,5,43],[1,2,40],[1,4,2],[2,3,55],[2,5,35],[3,5,92],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(4,5)=30,(2,5)=35,(1,2)=40,(0,5)=43,(2,3)=55,(0,2)=69,(0,1)=78,(0,3)=90,(3,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=30 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=35 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=40 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=43 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=3, Add (2,3)=55 Succeeded, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,75],[1,2,57],[1,3,87],[1,4,23],[1,6,89],[2,3,59],[2,4,83],[2,5,11],[2,6,83],[3,5,52],[3,6,43],[4,6,5],[5,6,19]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,75],[1,2,57],[1,3,87],[1,4,23],[1,6,89],[2,3,59],[2,4,83],[2,5,11],[2,6,83],[3,5,52],[3,6,43],[4,6,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,75],[1,2,57],[1,3,87],[1,4,23],[1,6,89],[2,3,59],[2,4,83],[2,5,11],[2,6,83],[3,5,52],[3,6,43],[4,6,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (0,1)\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,75],[1,2,57],[1,3,87],[1,4,23],[1,6,89],[2,3,59],[2,4,83],[2,5,11],[2,6,83],[3,5,52],[3,6,43],[4,6,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=5, w=5\",\"Add (2,5)=11, w=16\",\"Add (5,6)=19, w=35\",\"Add (1,4)=23, w=58\",\"Add (3,6)=43, w=101\",\"Add (0,1)=65, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,75],[1,2,57],[1,3,87],[1,4,23],[1,6,89],[2,3,59],[2,4,83],[2,5,11],[2,6,83],[3,5,52],[3,6,43],[4,6,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=5 Succeeded, w=5\",\"Add (2,5)=11 Succeeded, w=16\",\"Add (5,6)=19 Succeeded, w=35\",\"Add (1,4)=23 Succeeded, w=58\",\"Add (3,6)=43 Succeeded, w=101\",\"Add (3,5)=52 Failed, w=101\",\"Add (1,2)=57 Failed, w=101\",\"Add (2,3)=59 Failed, w=101\",\"Add (0,1)=65 Succeeded, w=166\",\"Add (0,2)=75 Failed, w=166\",\"Add (2,4)=83 Failed, w=166\",\"Add (2,6)=83 Failed, w=166\",\"Add (1,3)=87 Failed, w=166\",\"Add (1,6)=89 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,75],[1,2,57],[1,3,87],[1,4,23],[1,6,89],[2,3,59],[2,4,83],[2,5,11],[2,6,83],[3,5,52],[3,6,43],[4,6,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=5,(2,5)=11,(5,6)=19,(1,4)=23,(3,6)=43,(3,5)=52,(1,2)=57,(2,3)=59,(0,1)=65,(0,2)=75,(2,4)=83,(2,6)=83,(1,3)=87,(1,6)=89]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=16\",\"Find(5)=2, Find(6)=4, Add (5,6)=19 Succeeded, w=35\",\"Find(1)=1, Find(4)=2, Add (1,4)=23 Succeeded, w=58\",\"Find(3)=3, Find(6)=2, Add (3,6)=43 Succeeded, w=101\",\"Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=101\",\"Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=101\",\"Find(2)=2, Find(3)=2, Add (2,3)=59 Failed, w=101\",\"Find(0)=0, Find(1)=2, Add (0,1)=65 Succeeded, w=166\",\"Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=166\",\"Find(2)=2, Find(4)=2, Add (2,4)=83 Failed, w=166\",\"Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=166\",\"Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=166\",\"Find(1)=2, Find(6)=2, Add (1,6)=89 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,75],[1,2,57],[1,3,87],[1,4,23],[1,6,89],[2,3,59],[2,4,83],[2,5,11],[2,6,83],[3,5,52],[3,6,43],[4,6,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=5,(2,5)=11,(5,6)=19,(1,4)=23,(3,6)=43,(3,5)=52,(1,2)=57,(2,3)=59,(0,1)=65,(0,2)=75,(2,4)=83,(2,6)=83,(1,3)=87,(1,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4}, Find(5)=2, Find(6)=4, Add (5,6)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4}, Find(1)=1, Find(4)=2, Add (1,4)=23 Succeeded, w=58\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=43 Succeeded, w=101\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=101\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=101\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=59 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(1)=2, Add (0,1)=65 Succeeded, w=166\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=166\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=83 Failed, w=166\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=166\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=166\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=89 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,74],[0,3,10],[1,2,64],[1,3,85],[2,3,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,10],[1,2,64],[1,3,85],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,10],[1,2,64],[1,3,85],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,10],[1,2,64],[1,3,85],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (2,3)=32, w=42\",\"Add (1,2)=64, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,10],[1,2,64],[1,3,85],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (2,3)=32 Succeeded, w=42\",\"Add (1,2)=64 Succeeded, w=106\",\"Add (0,2)=74 Failed, w=106\",\"Add (1,3)=85 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,10],[1,2,64],[1,3,85],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(2,3)=32,(1,2)=64,(0,2)=74,(1,3)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=42\",\"Find(1)=1, Find(2)=0, Add (1,2)=64 Succeeded, w=106\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=106\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,10],[1,2,64],[1,3,85],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(2,3)=32,(1,2)=64,(0,2)=74,(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=64 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,90],[0,3,88],[0,5,83],[0,6,24],[1,2,84],[1,5,39],[1,6,27],[2,3,95],[2,4,33],[2,5,85],[3,6,73],[4,5,40],[4,6,44]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,90],[0,3,88],[0,5,83],[0,6,24],[1,2,84],[1,5,39],[1,6,27],[2,3,95],[2,4,33],[2,5,85],[3,6,73],[4,5,40],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":236}",
"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],[0,3,88],[0,5,83],[0,6,24],[1,2,84],[1,5,39],[1,6,27],[2,3,95],[2,4,33],[2,5,85],[3,6,73],[4,5,40],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":236}",
"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],[0,3,88],[0,5,83],[0,6,24],[1,2,84],[1,5,39],[1,6,27],[2,3,95],[2,4,33],[2,5,85],[3,6,73],[4,5,40],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=24, w=24\",\"Add (1,6)=27, w=51\",\"Add (2,4)=33, w=84\",\"Add (1,5)=39, w=123\",\"Add (4,5)=40, w=163\",\"Add (3,6)=73, w=236\"],\"Answer\":236}",
"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],[0,3,88],[0,5,83],[0,6,24],[1,2,84],[1,5,39],[1,6,27],[2,3,95],[2,4,33],[2,5,85],[3,6,73],[4,5,40],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=24 Succeeded, w=24\",\"Add (1,6)=27 Succeeded, w=51\",\"Add (2,4)=33 Succeeded, w=84\",\"Add (1,5)=39 Succeeded, w=123\",\"Add (4,5)=40 Succeeded, w=163\",\"Add (4,6)=44 Failed, w=163\",\"Add (3,6)=73 Succeeded, w=236\",\"Add (0,5)=83 Failed, w=236\",\"Add (1,2)=84 Failed, w=236\",\"Add (2,5)=85 Failed, w=236\",\"Add (0,3)=88 Failed, w=236\",\"Add (0,2)=90 Failed, w=236\",\"Add (2,3)=95 Failed, w=236\"],\"Answer\":236}",
"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],[0,3,88],[0,5,83],[0,6,24],[1,2,84],[1,5,39],[1,6,27],[2,3,95],[2,4,33],[2,5,85],[3,6,73],[4,5,40],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=24,(1,6)=27,(2,4)=33,(1,5)=39,(4,5)=40,(4,6)=44,(3,6)=73,(0,5)=83,(1,2)=84,(2,5)=85,(0,3)=88,(0,2)=90,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=24 Succeeded, w=24\",\"Find(1)=1, Find(6)=0, Add (1,6)=27 Succeeded, w=51\",\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=84\",\"Find(1)=0, Find(5)=5, Add (1,5)=39 Succeeded, w=123\",\"Find(4)=2, Find(5)=0, Add (4,5)=40 Succeeded, w=163\",\"Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=163\",\"Find(3)=3, Find(6)=2, Add (3,6)=73 Succeeded, w=236\",\"Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=236\",\"Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=236\",\"Find(2)=2, Find(5)=2, Add (2,5)=85 Failed, w=236\",\"Find(0)=2, Find(3)=2, Add (0,3)=88 Failed, w=236\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=236\",\"Find(2)=2, Find(3)=2, Add (2,3)=95 Failed, w=236\"],\"Answer\":236}",
"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],[0,3,88],[0,5,83],[0,6,24],[1,2,84],[1,5,39],[1,6,27],[2,3,95],[2,4,33],[2,5,85],[3,6,73],[4,5,40],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=24,(1,6)=27,(2,4)=33,(1,5)=39,(4,5)=40,(4,6)=44,(3,6)=73,(0,5)=83,(1,2)=84,(2,5)=85,(0,3)=88,(0,2)=90,(2,3)=95]\",\"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)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=27 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(5)=5, Add (1,5)=39 Succeeded, w=123\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0, 6: 0}, Find(4)=2, Find(5)=0, Add (4,5)=40 Succeeded, w=163\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=163\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=73 Succeeded, w=236\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=236\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=236\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=85 Failed, w=236\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=88 Failed, w=236\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=236\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=95 Failed, w=236\"],\"Answer\":236}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,22],[0,2,67],[0,3,19],[1,2,75],[1,3,49],[2,3,22]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,67],[0,3,19],[1,2,75],[1,3,49],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,67],[0,3,19],[1,2,75],[1,3,49],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,67],[0,3,19],[1,2,75],[1,3,49],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19, w=19\",\"Add (0,1)=22, w=41\",\"Add (2,3)=22, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,67],[0,3,19],[1,2,75],[1,3,49],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19 Succeeded, w=19\",\"Add (0,1)=22 Succeeded, w=41\",\"Add (2,3)=22 Succeeded, w=63\",\"Add (1,3)=49 Failed, w=63\",\"Add (0,2)=67 Failed, w=63\",\"Add (1,2)=75 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,67],[0,3,19],[1,2,75],[1,3,49],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(0,1)=22,(2,3)=22,(1,3)=49,(0,2)=67,(1,2)=75]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=41\",\"Find(2)=2, Find(3)=0, Add (2,3)=22 Succeeded, w=63\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=63\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=63\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,67],[0,3,19],[1,2,75],[1,3,49],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(0,1)=22,(2,3)=22,(1,3)=49,(0,2)=67,(1,2)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=22 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,3,33],[1,3,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,33],[1,3,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,33],[1,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,33],[1,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=33, w=33\",\"Add (0,1)=36, w=69\"],\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,33],[1,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=33 Succeeded, w=33\",\"Add (0,1)=36 Succeeded, w=69\",\"Add (1,3)=48 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,33],[1,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=33,(0,1)=36,(1,3)=48]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=69\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,33],[1,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=33,(0,1)=36,(1,3)=48]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,57],[0,3,33],[1,2,66],[1,3,34],[2,3,17]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,57],[0,3,33],[1,2,66],[1,3,34],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,57],[0,3,33],[1,2,66],[1,3,34],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,57],[0,3,33],[1,2,66],[1,3,34],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=17, w=17\",\"Add (0,3)=33, w=50\",\"Add (1,3)=34, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,57],[0,3,33],[1,2,66],[1,3,34],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=17 Succeeded, w=17\",\"Add (0,3)=33 Succeeded, w=50\",\"Add (1,3)=34 Succeeded, w=84\",\"Add (0,2)=57 Failed, w=84\",\"Add (1,2)=66 Failed, w=84\",\"Add (0,1)=77 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,57],[0,3,33],[1,2,66],[1,3,34],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=17,(0,3)=33,(1,3)=34,(0,2)=57,(1,2)=66,(0,1)=77]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=17\",\"Find(0)=0, Find(3)=2, Add (0,3)=33 Succeeded, w=50\",\"Find(1)=1, Find(3)=2, Add (1,3)=34 Succeeded, w=84\",\"Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=84\",\"Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=84\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,57],[0,3,33],[1,2,66],[1,3,34],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=17,(0,3)=33,(1,3)=34,(0,2)=57,(1,2)=66,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=33 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=34 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,2,70],[0,3,41],[1,2,30],[1,3,87],[2,3,84]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,70],[0,3,41],[1,2,30],[1,3,87],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,70],[0,3,41],[1,2,30],[1,3,87],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,70],[0,3,41],[1,2,30],[1,3,87],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30, w=30\",\"Add (0,3)=41, w=71\",\"Add (0,1)=62, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,70],[0,3,41],[1,2,30],[1,3,87],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30 Succeeded, w=30\",\"Add (0,3)=41 Succeeded, w=71\",\"Add (0,1)=62 Succeeded, w=133\",\"Add (0,2)=70 Failed, w=133\",\"Add (2,3)=84 Failed, w=133\",\"Add (1,3)=87 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,70],[0,3,41],[1,2,30],[1,3,87],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(0,3)=41,(0,1)=62,(0,2)=70,(2,3)=84,(1,3)=87]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=71\",\"Find(0)=0, Find(1)=1, Add (0,1)=62 Succeeded, w=133\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=133\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=133\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,70],[0,3,41],[1,2,30],[1,3,87],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(0,3)=41,(0,1)=62,(0,2)=70,(2,3)=84,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=62 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,63],[0,2,37],[1,2,23],[1,3,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,37],[1,2,23],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,37],[1,2,23],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,37],[1,2,23],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23, w=23\",\"Add (0,2)=37, w=60\",\"Add (1,3)=41, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,37],[1,2,23],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23 Succeeded, w=23\",\"Add (0,2)=37 Succeeded, w=60\",\"Add (1,3)=41 Succeeded, w=101\",\"Add (0,1)=63 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,37],[1,2,23],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(0,2)=37,(1,3)=41,(0,1)=63]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Find(0)=0, Find(2)=1, Add (0,2)=37 Succeeded, w=60\",\"Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=101\",\"Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,37],[1,2,23],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(0,2)=37,(1,3)=41,(0,1)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=37 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,2,62],[0,3,35],[0,6,63],[1,2,67],[1,3,64],[1,4,92],[2,3,64],[2,4,10],[2,6,12],[3,5,80],[3,6,9],[4,6,73],[5,6,1]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,62],[0,3,35],[0,6,63],[1,2,67],[1,3,64],[1,4,92],[2,3,64],[2,4,10],[2,6,12],[3,5,80],[3,6,9],[4,6,73],[5,6,1]]}",
"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],\"edges\":[[0,1,48],[0,2,62],[0,3,35],[0,6,63],[1,2,67],[1,3,64],[1,4,92],[2,3,64],[2,4,10],[2,6,12],[3,5,80],[3,6,9],[4,6,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,62],[0,3,35],[0,6,63],[1,2,67],[1,3,64],[1,4,92],[2,3,64],[2,4,10],[2,6,12],[3,5,80],[3,6,9],[4,6,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (3,6)=9, w=10\",\"Add (2,4)=10, w=20\",\"Add (2,6)=12, w=32\",\"Add (0,3)=35, w=67\",\"Add (0,1)=48, 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],\"edges\":[[0,1,48],[0,2,62],[0,3,35],[0,6,63],[1,2,67],[1,3,64],[1,4,92],[2,3,64],[2,4,10],[2,6,12],[3,5,80],[3,6,9],[4,6,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (3,6)=9 Succeeded, w=10\",\"Add (2,4)=10 Succeeded, w=20\",\"Add (2,6)=12 Succeeded, w=32\",\"Add (0,3)=35 Succeeded, w=67\",\"Add (0,1)=48 Succeeded, w=115\",\"Add (0,2)=62 Failed, w=115\",\"Add (0,6)=63 Failed, w=115\",\"Add (1,3)=64 Failed, w=115\",\"Add (2,3)=64 Failed, w=115\",\"Add (1,2)=67 Failed, w=115\",\"Add (4,6)=73 Failed, w=115\",\"Add (3,5)=80 Failed, w=115\",\"Add (1,4)=92 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],\"edges\":[[0,1,48],[0,2,62],[0,3,35],[0,6,63],[1,2,67],[1,3,64],[1,4,92],[2,3,64],[2,4,10],[2,6,12],[3,5,80],[3,6,9],[4,6,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(3,6)=9,(2,4)=10,(2,6)=12,(0,3)=35,(0,1)=48,(0,2)=62,(0,6)=63,(1,3)=64,(2,3)=64,(1,2)=67,(4,6)=73,(3,5)=80,(1,4)=92]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=5, Add (3,6)=9 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=20\",\"Find(2)=2, Find(6)=5, Add (2,6)=12 Succeeded, w=32\",\"Find(0)=0, Find(3)=2, Add (0,3)=35 Succeeded, w=67\",\"Find(0)=2, Find(1)=1, Add (0,1)=48 Succeeded, w=115\",\"Find(0)=2, Find(2)=2, Add (0,2)=62 Failed, w=115\",\"Find(0)=2, Find(6)=2, Add (0,6)=63 Failed, w=115\",\"Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=115\",\"Find(2)=2, Find(3)=2, Add (2,3)=64 Failed, w=115\",\"Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=115\",\"Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=115\",\"Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=115\",\"Find(1)=2, Find(4)=2, Add (1,4)=92 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],\"edges\":[[0,1,48],[0,2,62],[0,3,35],[0,6,63],[1,2,67],[1,3,64],[1,4,92],[2,3,64],[2,4,10],[2,6,12],[3,5,80],[3,6,9],[4,6,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(3,6)=9,(2,4)=10,(2,6)=12,(0,3)=35,(0,1)=48,(0,2)=62,(0,6)=63,(1,3)=64,(2,3)=64,(1,2)=67,(4,6)=73,(3,5)=80,(1,4)=92]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 2, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=12 Succeeded, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(0)=0, Find(3)=2, Add (0,3)=35 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(0)=2, Find(1)=1, Add (0,1)=48 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(0)=2, Find(2)=2, Add (0,2)=62 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=63 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=64 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=92 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,38],[0,2,55],[0,3,40],[1,2,66],[1,3,6],[2,3,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,55],[0,3,40],[1,2,66],[1,3,6],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,55],[0,3,40],[1,2,66],[1,3,6],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,55],[0,3,40],[1,2,66],[1,3,6],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (0,1)=38, w=44\",\"Add (0,2)=55, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,55],[0,3,40],[1,2,66],[1,3,6],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (0,1)=38 Succeeded, w=44\",\"Add (0,3)=40 Failed, w=44\",\"Add (0,2)=55 Succeeded, w=99\",\"Add (1,2)=66 Failed, w=99\",\"Add (2,3)=89 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,55],[0,3,40],[1,2,66],[1,3,6],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(0,1)=38,(0,3)=40,(0,2)=55,(1,2)=66,(2,3)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=44\",\"Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=44\",\"Find(0)=1, Find(2)=2, Add (0,2)=55 Succeeded, w=99\",\"Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=99\",\"Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,55],[0,3,40],[1,2,66],[1,3,6],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(0,1)=38,(0,3)=40,(0,2)=55,(1,2)=66,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=55 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,92],[0,3,35],[0,4,29],[1,2,35],[1,3,33],[2,3,10],[3,4,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,35],[0,4,29],[1,2,35],[1,3,33],[2,3,10],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,35],[0,4,29],[1,2,35],[1,3,33],[2,3,10],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,35],[0,4,29],[1,2,35],[1,3,33],[2,3,10],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (0,4)=29, w=39\",\"Add (1,3)=33, w=72\",\"Add (0,3)=35, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,35],[0,4,29],[1,2,35],[1,3,33],[2,3,10],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (0,4)=29 Succeeded, w=39\",\"Add (1,3)=33 Succeeded, w=72\",\"Add (0,3)=35 Succeeded, w=107\",\"Add (1,2)=35 Failed, w=107\",\"Add (0,2)=92 Failed, w=107\",\"Add (3,4)=96 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,35],[0,4,29],[1,2,35],[1,3,33],[2,3,10],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(0,4)=29,(1,3)=33,(0,3)=35,(1,2)=35,(0,2)=92,(3,4)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=39\",\"Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=72\",\"Find(0)=0, Find(3)=2, Add (0,3)=35 Succeeded, w=107\",\"Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=107\",\"Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=107\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[0,3,35],[0,4,29],[1,2,35],[1,3,33],[2,3,10],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(0,4)=29,(1,3)=33,(0,3)=35,(1,2)=35,(0,2)=92,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=39\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=72\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(3)=2, Add (0,3)=35 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,2,86],[0,3,84],[1,2,90],[2,3,54]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,86],[0,3,84],[1,2,90],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,86],[0,3,84],[1,2,90],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,86],[0,3,84],[1,2,90],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=50, w=50\",\"Add (2,3)=54, w=104\",\"Add (0,3)=84, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,86],[0,3,84],[1,2,90],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=50 Succeeded, w=50\",\"Add (2,3)=54 Succeeded, w=104\",\"Add (0,3)=84 Succeeded, w=188\",\"Add (0,2)=86 Failed, w=188\",\"Add (1,2)=90 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,86],[0,3,84],[1,2,90],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=50,(2,3)=54,(0,3)=84,(0,2)=86,(1,2)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=50\",\"Find(2)=2, Find(3)=3, Add (2,3)=54 Succeeded, w=104\",\"Find(0)=0, Find(3)=2, Add (0,3)=84 Succeeded, w=188\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=188\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,86],[0,3,84],[1,2,90],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=50,(2,3)=54,(0,3)=84,(0,2)=86,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=54 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=84 Succeeded, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,67],[0,4,14],[0,5,33],[0,6,78],[1,2,92],[1,3,46],[1,4,70],[1,5,89],[1,6,11],[2,3,8],[2,4,88],[2,5,70],[2,6,20],[3,5,42],[3,6,34],[4,5,94],[4,6,99],[5,6,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,67],[0,4,14],[0,5,33],[0,6,78],[1,2,92],[1,3,46],[1,4,70],[1,5,89],[1,6,11],[2,3,8],[2,4,88],[2,5,70],[2,6,20],[3,5,42],[3,6,34],[4,5,94],[4,6,99],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,67],[0,4,14],[0,5,33],[0,6,78],[1,2,92],[1,3,46],[1,4,70],[1,5,89],[1,6,11],[2,3,8],[2,4,88],[2,5,70],[2,6,20],[3,5,42],[3,6,34],[4,5,94],[4,6,99],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (2,6)\",\"Add (0,5)\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,67],[0,4,14],[0,5,33],[0,6,78],[1,2,92],[1,3,46],[1,4,70],[1,5,89],[1,6,11],[2,3,8],[2,4,88],[2,5,70],[2,6,20],[3,5,42],[3,6,34],[4,5,94],[4,6,99],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (1,6)=11, w=19\",\"Add (0,4)=14, w=33\",\"Add (5,6)=15, w=48\",\"Add (2,6)=20, w=68\",\"Add (0,5)=33, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,67],[0,4,14],[0,5,33],[0,6,78],[1,2,92],[1,3,46],[1,4,70],[1,5,89],[1,6,11],[2,3,8],[2,4,88],[2,5,70],[2,6,20],[3,5,42],[3,6,34],[4,5,94],[4,6,99],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (1,6)=11 Succeeded, w=19\",\"Add (0,4)=14 Succeeded, w=33\",\"Add (5,6)=15 Succeeded, w=48\",\"Add (2,6)=20 Succeeded, w=68\",\"Add (0,5)=33 Succeeded, w=101\",\"Add (3,6)=34 Failed, w=101\",\"Add (3,5)=42 Failed, w=101\",\"Add (1,3)=46 Failed, w=101\",\"Add (0,3)=67 Failed, w=101\",\"Add (1,4)=70 Failed, w=101\",\"Add (2,5)=70 Failed, w=101\",\"Add (0,6)=78 Failed, w=101\",\"Add (2,4)=88 Failed, w=101\",\"Add (1,5)=89 Failed, w=101\",\"Add (1,2)=92 Failed, w=101\",\"Add (4,5)=94 Failed, w=101\",\"Add (4,6)=99 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,67],[0,4,14],[0,5,33],[0,6,78],[1,2,92],[1,3,46],[1,4,70],[1,5,89],[1,6,11],[2,3,8],[2,4,88],[2,5,70],[2,6,20],[3,5,42],[3,6,34],[4,5,94],[4,6,99],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,6)=11,(0,4)=14,(5,6)=15,(2,6)=20,(0,5)=33,(3,6)=34,(3,5)=42,(1,3)=46,(0,3)=67,(1,4)=70,(2,5)=70,(0,6)=78,(2,4)=88,(1,5)=89,(1,2)=92,(4,5)=94,(4,6)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=19\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=33\",\"Find(5)=5, Find(6)=1, Add (5,6)=15 Succeeded, w=48\",\"Find(2)=2, Find(6)=1, Add (2,6)=20 Succeeded, w=68\",\"Find(0)=0, Find(5)=2, Add (0,5)=33 Succeeded, w=101\",\"Find(3)=2, Find(6)=2, Add (3,6)=34 Failed, w=101\",\"Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=101\",\"Find(1)=2, Find(3)=2, Add (1,3)=46 Failed, w=101\",\"Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=101\",\"Find(1)=2, Find(4)=2, Add (1,4)=70 Failed, w=101\",\"Find(2)=2, Find(5)=2, Add (2,5)=70 Failed, w=101\",\"Find(0)=2, Find(6)=2, Add (0,6)=78 Failed, w=101\",\"Find(2)=2, Find(4)=2, Add (2,4)=88 Failed, w=101\",\"Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=101\",\"Find(1)=2, Find(2)=2, Add (1,2)=92 Failed, w=101\",\"Find(4)=2, Find(5)=2, Add (4,5)=94 Failed, w=101\",\"Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,67],[0,4,14],[0,5,33],[0,6,78],[1,2,92],[1,3,46],[1,4,70],[1,5,89],[1,6,11],[2,3,8],[2,4,88],[2,5,70],[2,6,20],[3,5,42],[3,6,34],[4,5,94],[4,6,99],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,6)=11,(0,4)=14,(5,6)=15,(2,6)=20,(0,5)=33,(3,6)=34,(3,5)=42,(1,3)=46,(0,3)=67,(1,4)=70,(2,5)=70,(0,6)=78,(2,4)=88,(1,5)=89,(1,2)=92,(4,5)=94,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 1}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=15 Succeeded, w=48\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=20 Succeeded, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1}, Find(0)=0, Find(5)=2, Add (0,5)=33 Succeeded, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=34 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=46 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=70 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=70 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=78 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=88 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=92 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=94 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,36],[1,2,33],[1,6,8],[2,6,68],[3,6,47],[4,5,93],[4,6,15],[5,6,30]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,36],[1,2,33],[1,6,8],[2,6,68],[3,6,47],[4,5,93],[4,6,15],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,36],[1,2,33],[1,6,8],[2,6,68],[3,6,47],[4,5,93],[4,6,15],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,6)\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,36],[1,2,33],[1,6,8],[2,6,68],[3,6,47],[4,5,93],[4,6,15],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8, w=8\",\"Add (4,6)=15, w=23\",\"Add (5,6)=30, w=53\",\"Add (1,2)=33, w=86\",\"Add (0,4)=36, w=122\",\"Add (3,6)=47, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,36],[1,2,33],[1,6,8],[2,6,68],[3,6,47],[4,5,93],[4,6,15],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8 Succeeded, w=8\",\"Add (4,6)=15 Succeeded, w=23\",\"Add (5,6)=30 Succeeded, w=53\",\"Add (1,2)=33 Succeeded, w=86\",\"Add (0,4)=36 Succeeded, w=122\",\"Add (3,6)=47 Succeeded, w=169\",\"Add (2,6)=68 Failed, w=169\",\"Add (4,5)=93 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,36],[1,2,33],[1,6,8],[2,6,68],[3,6,47],[4,5,93],[4,6,15],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(4,6)=15,(5,6)=30,(1,2)=33,(0,4)=36,(3,6)=47,(2,6)=68,(4,5)=93]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Find(4)=4, Find(6)=1, Add (4,6)=15 Succeeded, w=23\",\"Find(5)=5, Find(6)=1, Add (5,6)=30 Succeeded, w=53\",\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=86\",\"Find(0)=0, Find(4)=1, Add (0,4)=36 Succeeded, w=122\",\"Find(3)=3, Find(6)=1, Add (3,6)=47 Succeeded, w=169\",\"Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=169\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,36],[1,2,33],[1,6,8],[2,6,68],[3,6,47],[4,5,93],[4,6,15],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(4,6)=15,(5,6)=30,(1,2)=33,(0,4)=36,(3,6)=47,(2,6)=68,(4,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=30 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=36 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=47 Succeeded, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,48],[0,2,96],[0,3,45],[1,2,93],[1,3,83],[2,3,68]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,96],[0,3,45],[1,2,93],[1,3,83],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,96],[0,3,45],[1,2,93],[1,3,83],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,96],[0,3,45],[1,2,93],[1,3,83],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=45, w=45\",\"Add (0,1)=48, w=93\",\"Add (2,3)=68, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,96],[0,3,45],[1,2,93],[1,3,83],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=45 Succeeded, w=45\",\"Add (0,1)=48 Succeeded, w=93\",\"Add (2,3)=68 Succeeded, w=161\",\"Add (1,3)=83 Failed, w=161\",\"Add (1,2)=93 Failed, w=161\",\"Add (0,2)=96 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,96],[0,3,45],[1,2,93],[1,3,83],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=45,(0,1)=48,(2,3)=68,(1,3)=83,(1,2)=93,(0,2)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=45\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=93\",\"Find(2)=2, Find(3)=0, Add (2,3)=68 Succeeded, w=161\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=161\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=161\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,96],[0,3,45],[1,2,93],[1,3,83],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=45,(0,1)=48,(2,3)=68,(1,3)=83,(1,2)=93,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=68 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,71],[0,3,74],[1,3,98],[2,3,33]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,71],[0,3,74],[1,3,98],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,71],[0,3,74],[1,3,98],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,71],[0,3,74],[1,3,98],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33, w=33\",\"Add (0,2)=71, w=104\",\"Add (1,3)=98, w=202\"],\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,71],[0,3,74],[1,3,98],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33 Succeeded, w=33\",\"Add (0,2)=71 Succeeded, w=104\",\"Add (0,3)=74 Failed, w=104\",\"Add (1,3)=98 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,71],[0,3,74],[1,3,98],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(0,2)=71,(0,3)=74,(1,3)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Find(0)=0, Find(2)=2, Add (0,2)=71 Succeeded, w=104\",\"Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=104\",\"Find(1)=1, Find(3)=2, Add (1,3)=98 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,71],[0,3,74],[1,3,98],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(0,2)=71,(0,3)=74,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=71 Succeeded, w=104\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=98 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,56],[0,2,22],[0,3,71],[1,3,75],[2,3,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,22],[0,3,71],[1,3,75],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,22],[0,3,71],[1,3,75],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,22],[0,3,71],[1,3,75],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22, w=22\",\"Add (0,1)=56, w=78\",\"Add (0,3)=71, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,22],[0,3,71],[1,3,75],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22 Succeeded, w=22\",\"Add (0,1)=56 Succeeded, w=78\",\"Add (0,3)=71 Succeeded, w=149\",\"Add (1,3)=75 Failed, w=149\",\"Add (2,3)=81 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,22],[0,3,71],[1,3,75],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(0,1)=56,(0,3)=71,(1,3)=75,(2,3)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=78\",\"Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=149\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,22],[0,3,71],[1,3,75],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(0,1)=56,(0,3)=71,(1,3)=75,(2,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,20],[0,2,22],[0,3,24],[0,4,52],[0,5,90],[1,2,88],[1,3,57],[1,4,33],[1,5,36],[2,4,69],[3,4,16],[4,5,86]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,22],[0,3,24],[0,4,52],[0,5,90],[1,2,88],[1,3,57],[1,4,33],[1,5,36],[2,4,69],[3,4,16],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,22],[0,3,24],[0,4,52],[0,5,90],[1,2,88],[1,3,57],[1,4,33],[1,5,36],[2,4,69],[3,4,16],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,22],[0,3,24],[0,4,52],[0,5,90],[1,2,88],[1,3,57],[1,4,33],[1,5,36],[2,4,69],[3,4,16],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16, w=16\",\"Add (0,1)=20, w=36\",\"Add (0,2)=22, w=58\",\"Add (0,3)=24, w=82\",\"Add (1,5)=36, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,22],[0,3,24],[0,4,52],[0,5,90],[1,2,88],[1,3,57],[1,4,33],[1,5,36],[2,4,69],[3,4,16],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16 Succeeded, w=16\",\"Add (0,1)=20 Succeeded, w=36\",\"Add (0,2)=22 Succeeded, w=58\",\"Add (0,3)=24 Succeeded, w=82\",\"Add (1,4)=33 Failed, w=82\",\"Add (1,5)=36 Succeeded, w=118\",\"Add (0,4)=52 Failed, w=118\",\"Add (1,3)=57 Failed, w=118\",\"Add (2,4)=69 Failed, w=118\",\"Add (4,5)=86 Failed, w=118\",\"Add (1,2)=88 Failed, w=118\",\"Add (0,5)=90 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,22],[0,3,24],[0,4,52],[0,5,90],[1,2,88],[1,3,57],[1,4,33],[1,5,36],[2,4,69],[3,4,16],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(0,1)=20,(0,2)=22,(0,3)=24,(1,4)=33,(1,5)=36,(0,4)=52,(1,3)=57,(2,4)=69,(4,5)=86,(1,2)=88,(0,5)=90]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=36\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=58\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=82\",\"Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=82\",\"Find(1)=0, Find(5)=5, Add (1,5)=36 Succeeded, w=118\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=118\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=118\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=118\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=118\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,22],[0,3,24],[0,4,52],[0,5,90],[1,2,88],[1,3,57],[1,4,33],[1,5,36],[2,4,69],[3,4,16],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(0,1)=20,(0,2)=22,(0,3)=24,(1,4)=33,(1,5)=36,(0,4)=52,(1,3)=57,(2,4)=69,(4,5)=86,(1,2)=88,(0,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=36 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,60],[0,5,76],[1,2,13],[1,3,29],[1,4,60],[1,6,27],[2,3,51],[2,4,99],[2,5,8],[2,6,5],[3,4,8],[3,6,96],[5,6,99]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,5,76],[1,2,13],[1,3,29],[1,4,60],[1,6,27],[2,3,51],[2,4,99],[2,5,8],[2,6,5],[3,4,8],[3,6,96],[5,6,99]]}",
"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\":[[0,1,60],[0,5,76],[1,2,13],[1,3,29],[1,4,60],[1,6,27],[2,3,51],[2,4,99],[2,5,8],[2,6,5],[3,4,8],[3,6,96],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,5,76],[1,2,13],[1,3,29],[1,4,60],[1,6,27],[2,3,51],[2,4,99],[2,5,8],[2,6,5],[3,4,8],[3,6,96],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5, w=5\",\"Add (2,5)=8, w=13\",\"Add (3,4)=8, w=21\",\"Add (1,2)=13, w=34\",\"Add (1,3)=29, w=63\",\"Add (0,1)=60, 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\":[[0,1,60],[0,5,76],[1,2,13],[1,3,29],[1,4,60],[1,6,27],[2,3,51],[2,4,99],[2,5,8],[2,6,5],[3,4,8],[3,6,96],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5 Succeeded, w=5\",\"Add (2,5)=8 Succeeded, w=13\",\"Add (3,4)=8 Succeeded, w=21\",\"Add (1,2)=13 Succeeded, w=34\",\"Add (1,6)=27 Failed, w=34\",\"Add (1,3)=29 Succeeded, w=63\",\"Add (2,3)=51 Failed, w=63\",\"Add (0,1)=60 Succeeded, w=123\",\"Add (1,4)=60 Failed, w=123\",\"Add (0,5)=76 Failed, w=123\",\"Add (3,6)=96 Failed, w=123\",\"Add (2,4)=99 Failed, w=123\",\"Add (5,6)=99 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\":[[0,1,60],[0,5,76],[1,2,13],[1,3,29],[1,4,60],[1,6,27],[2,3,51],[2,4,99],[2,5,8],[2,6,5],[3,4,8],[3,6,96],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(2,5)=8,(3,4)=8,(1,2)=13,(1,6)=27,(1,3)=29,(2,3)=51,(0,1)=60,(1,4)=60,(0,5)=76,(3,6)=96,(2,4)=99,(5,6)=99]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=13\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=34\",\"Find(1)=2, Find(6)=2, Add (1,6)=27 Failed, w=34\",\"Find(1)=2, Find(3)=3, Add (1,3)=29 Succeeded, w=63\",\"Find(2)=2, Find(3)=2, Add (2,3)=51 Failed, w=63\",\"Find(0)=0, Find(1)=2, Add (0,1)=60 Succeeded, w=123\",\"Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=123\",\"Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=123\",\"Find(3)=2, Find(6)=2, Add (3,6)=96 Failed, w=123\",\"Find(2)=2, Find(4)=2, Add (2,4)=99 Failed, w=123\",\"Find(5)=2, Find(6)=2, Add (5,6)=99 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\":[[0,1,60],[0,5,76],[1,2,13],[1,3,29],[1,4,60],[1,6,27],[2,3,51],[2,4,99],[2,5,8],[2,6,5],[3,4,8],[3,6,96],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(2,5)=8,(3,4)=8,(1,2)=13,(1,6)=27,(1,3)=29,(2,3)=51,(0,1)=60,(1,4)=60,(0,5)=76,(3,6)=96,(2,4)=99,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=27 Failed, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(1)=2, Find(3)=3, Add (1,3)=29 Succeeded, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=51 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(0)=0, Find(1)=2, Add (0,1)=60 Succeeded, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=96 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=99 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=99 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,56],[0,2,5],[0,3,68],[0,4,85],[0,5,82],[0,6,67],[1,2,33],[1,3,3],[1,4,83],[1,5,75],[1,6,2],[2,3,49],[2,4,23],[2,5,70],[3,4,24],[3,5,9],[3,6,5],[4,5,26],[4,6,47],[5,6,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,5],[0,3,68],[0,4,85],[0,5,82],[0,6,67],[1,2,33],[1,3,3],[1,4,83],[1,5,75],[1,6,2],[2,3,49],[2,4,23],[2,5,70],[3,4,24],[3,5,9],[3,6,5],[4,5,26],[4,6,47],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,5],[0,3,68],[0,4,85],[0,5,82],[0,6,67],[1,2,33],[1,3,3],[1,4,83],[1,5,75],[1,6,2],[2,3,49],[2,4,23],[2,5,70],[3,4,24],[3,5,9],[3,6,5],[4,5,26],[4,6,47],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,5],[0,3,68],[0,4,85],[0,5,82],[0,6,67],[1,2,33],[1,3,3],[1,4,83],[1,5,75],[1,6,2],[2,3,49],[2,4,23],[2,5,70],[3,4,24],[3,5,9],[3,6,5],[4,5,26],[4,6,47],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2, w=2\",\"Add (1,3)=3, w=5\",\"Add (0,2)=5, w=10\",\"Add (3,5)=9, w=19\",\"Add (2,4)=23, w=42\",\"Add (3,4)=24, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,5],[0,3,68],[0,4,85],[0,5,82],[0,6,67],[1,2,33],[1,3,3],[1,4,83],[1,5,75],[1,6,2],[2,3,49],[2,4,23],[2,5,70],[3,4,24],[3,5,9],[3,6,5],[4,5,26],[4,6,47],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2 Succeeded, w=2\",\"Add (1,3)=3 Succeeded, w=5\",\"Add (0,2)=5 Succeeded, w=10\",\"Add (3,6)=5 Failed, w=10\",\"Add (3,5)=9 Succeeded, w=19\",\"Add (2,4)=23 Succeeded, w=42\",\"Add (3,4)=24 Succeeded, w=66\",\"Add (4,5)=26 Failed, w=66\",\"Add (1,2)=33 Failed, w=66\",\"Add (4,6)=47 Failed, w=66\",\"Add (2,3)=49 Failed, w=66\",\"Add (0,1)=56 Failed, w=66\",\"Add (0,6)=67 Failed, w=66\",\"Add (0,3)=68 Failed, w=66\",\"Add (2,5)=70 Failed, w=66\",\"Add (1,5)=75 Failed, w=66\",\"Add (5,6)=79 Failed, w=66\",\"Add (0,5)=82 Failed, w=66\",\"Add (1,4)=83 Failed, w=66\",\"Add (0,4)=85 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,5],[0,3,68],[0,4,85],[0,5,82],[0,6,67],[1,2,33],[1,3,3],[1,4,83],[1,5,75],[1,6,2],[2,3,49],[2,4,23],[2,5,70],[3,4,24],[3,5,9],[3,6,5],[4,5,26],[4,6,47],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(1,3)=3,(0,2)=5,(3,6)=5,(3,5)=9,(2,4)=23,(3,4)=24,(4,5)=26,(1,2)=33,(4,6)=47,(2,3)=49,(0,1)=56,(0,6)=67,(0,3)=68,(2,5)=70,(1,5)=75,(5,6)=79,(0,5)=82,(1,4)=83,(0,4)=85]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=10\",\"Find(3)=1, Find(6)=1, Add (3,6)=5 Failed, w=10\",\"Find(3)=1, Find(5)=5, Add (3,5)=9 Succeeded, w=19\",\"Find(2)=0, Find(4)=4, Add (2,4)=23 Succeeded, w=42\",\"Find(3)=1, Find(4)=0, Add (3,4)=24 Succeeded, w=66\",\"Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=66\",\"Find(1)=1, Find(2)=1, Add (1,2)=33 Failed, w=66\",\"Find(4)=1, Find(6)=1, Add (4,6)=47 Failed, w=66\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=66\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=66\",\"Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=66\",\"Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=66\",\"Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=66\",\"Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=66\",\"Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=66\",\"Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=66\",\"Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=66\",\"Find(0)=1, Find(4)=1, Add (0,4)=85 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,5],[0,3,68],[0,4,85],[0,5,82],[0,6,67],[1,2,33],[1,3,3],[1,4,83],[1,5,75],[1,6,2],[2,3,49],[2,4,23],[2,5,70],[3,4,24],[3,5,9],[3,6,5],[4,5,26],[4,6,47],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(1,3)=3,(0,2)=5,(3,6)=5,(3,5)=9,(2,4)=23,(3,4)=24,(4,5)=26,(1,2)=33,(4,6)=47,(2,3)=49,(0,1)=56,(0,6)=67,(0,3)=68,(2,5)=70,(1,5)=75,(5,6)=79,(0,5)=82,(1,4)=83,(0,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=5 Failed, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 1}, Find(2)=0, Find(4)=4, Add (2,4)=23 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=1, Find(4)=0, Add (3,4)=24 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=33 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=47 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=85 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,99],[0,3,21],[0,4,90],[1,2,98],[1,3,15],[1,4,62],[2,3,37],[2,4,30],[3,4,51]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,21],[0,4,90],[1,2,98],[1,3,15],[1,4,62],[2,3,37],[2,4,30],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,21],[0,4,90],[1,2,98],[1,3,15],[1,4,62],[2,3,37],[2,4,30],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,21],[0,4,90],[1,2,98],[1,3,15],[1,4,62],[2,3,37],[2,4,30],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15, w=15\",\"Add (0,3)=21, w=36\",\"Add (2,4)=30, w=66\",\"Add (2,3)=37, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,21],[0,4,90],[1,2,98],[1,3,15],[1,4,62],[2,3,37],[2,4,30],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15 Succeeded, w=15\",\"Add (0,3)=21 Succeeded, w=36\",\"Add (2,4)=30 Succeeded, w=66\",\"Add (2,3)=37 Succeeded, w=103\",\"Add (3,4)=51 Failed, w=103\",\"Add (1,4)=62 Failed, w=103\",\"Add (0,4)=90 Failed, w=103\",\"Add (1,2)=98 Failed, w=103\",\"Add (0,1)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,21],[0,4,90],[1,2,98],[1,3,15],[1,4,62],[2,3,37],[2,4,30],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(0,3)=21,(2,4)=30,(2,3)=37,(3,4)=51,(1,4)=62,(0,4)=90,(1,2)=98,(0,1)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=1, Add (0,3)=21 Succeeded, w=36\",\"Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=66\",\"Find(2)=2, Find(3)=1, Add (2,3)=37 Succeeded, w=103\",\"Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=103\",\"Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=103\",\"Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=103\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=103\",\"Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,21],[0,4,90],[1,2,98],[1,3,15],[1,4,62],[2,3,37],[2,4,30],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(0,3)=21,(2,4)=30,(2,3)=37,(3,4)=51,(1,4)=62,(0,4)=90,(1,2)=98,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=21 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=66\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=37 Succeeded, w=103\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=103\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,23],[0,2,79],[0,3,95],[0,4,12],[1,2,94],[1,4,61],[3,4,60]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,79],[0,3,95],[0,4,12],[1,2,94],[1,4,61],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,79],[0,3,95],[0,4,12],[1,2,94],[1,4,61],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,79],[0,3,95],[0,4,12],[1,2,94],[1,4,61],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=12, w=12\",\"Add (0,1)=23, w=35\",\"Add (3,4)=60, w=95\",\"Add (0,2)=79, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,79],[0,3,95],[0,4,12],[1,2,94],[1,4,61],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=12 Succeeded, w=12\",\"Add (0,1)=23 Succeeded, w=35\",\"Add (3,4)=60 Succeeded, w=95\",\"Add (1,4)=61 Failed, w=95\",\"Add (0,2)=79 Succeeded, w=174\",\"Add (1,2)=94 Failed, w=174\",\"Add (0,3)=95 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,79],[0,3,95],[0,4,12],[1,2,94],[1,4,61],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=12,(0,1)=23,(3,4)=60,(1,4)=61,(0,2)=79,(1,2)=94,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=35\",\"Find(3)=3, Find(4)=0, Add (3,4)=60 Succeeded, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=95\",\"Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=174\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,79],[0,3,95],[0,4,12],[1,2,94],[1,4,61],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=12,(0,1)=23,(3,4)=60,(1,4)=61,(0,2)=79,(1,2)=94,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=60 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,96],[0,5,59],[0,7,56],[1,2,50],[1,3,14],[1,7,61],[2,3,50],[2,4,18],[2,5,22],[2,6,2],[2,7,67],[3,4,26],[3,5,17],[3,6,27],[4,5,55],[4,6,67],[4,7,84],[5,6,83],[5,7,19]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,5,59],[0,7,56],[1,2,50],[1,3,14],[1,7,61],[2,3,50],[2,4,18],[2,5,22],[2,6,2],[2,7,67],[3,4,26],[3,5,17],[3,6,27],[4,5,55],[4,6,67],[4,7,84],[5,6,83],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,5,59],[0,7,56],[1,2,50],[1,3,14],[1,7,61],[2,3,50],[2,4,18],[2,5,22],[2,6,2],[2,7,67],[3,4,26],[3,5,17],[3,6,27],[4,5,55],[4,6,67],[4,7,84],[5,6,83],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (5,7)\",\"Add (2,5)\",\"Add (0,7)\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,5,59],[0,7,56],[1,2,50],[1,3,14],[1,7,61],[2,3,50],[2,4,18],[2,5,22],[2,6,2],[2,7,67],[3,4,26],[3,5,17],[3,6,27],[4,5,55],[4,6,67],[4,7,84],[5,6,83],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2, w=2\",\"Add (1,3)=14, w=16\",\"Add (3,5)=17, w=33\",\"Add (2,4)=18, w=51\",\"Add (5,7)=19, w=70\",\"Add (2,5)=22, w=92\",\"Add (0,7)=56, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,5,59],[0,7,56],[1,2,50],[1,3,14],[1,7,61],[2,3,50],[2,4,18],[2,5,22],[2,6,2],[2,7,67],[3,4,26],[3,5,17],[3,6,27],[4,5,55],[4,6,67],[4,7,84],[5,6,83],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2 Succeeded, w=2\",\"Add (1,3)=14 Succeeded, w=16\",\"Add (3,5)=17 Succeeded, w=33\",\"Add (2,4)=18 Succeeded, w=51\",\"Add (5,7)=19 Succeeded, w=70\",\"Add (2,5)=22 Succeeded, w=92\",\"Add (3,4)=26 Failed, w=92\",\"Add (3,6)=27 Failed, w=92\",\"Add (1,2)=50 Failed, w=92\",\"Add (2,3)=50 Failed, w=92\",\"Add (4,5)=55 Failed, w=92\",\"Add (0,7)=56 Succeeded, w=148\",\"Add (0,5)=59 Failed, w=148\",\"Add (1,7)=61 Failed, w=148\",\"Add (2,7)=67 Failed, w=148\",\"Add (4,6)=67 Failed, w=148\",\"Add (5,6)=83 Failed, w=148\",\"Add (4,7)=84 Failed, w=148\",\"Add (0,1)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,5,59],[0,7,56],[1,2,50],[1,3,14],[1,7,61],[2,3,50],[2,4,18],[2,5,22],[2,6,2],[2,7,67],[3,4,26],[3,5,17],[3,6,27],[4,5,55],[4,6,67],[4,7,84],[5,6,83],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(1,3)=14,(3,5)=17,(2,4)=18,(5,7)=19,(2,5)=22,(3,4)=26,(3,6)=27,(1,2)=50,(2,3)=50,(4,5)=55,(0,7)=56,(0,5)=59,(1,7)=61,(2,7)=67,(4,6)=67,(5,6)=83,(4,7)=84,(0,1)=96]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=16\",\"Find(3)=1, Find(5)=5, Add (3,5)=17 Succeeded, w=33\",\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=51\",\"Find(5)=1, Find(7)=7, Add (5,7)=19 Succeeded, w=70\",\"Find(2)=2, Find(5)=1, Add (2,5)=22 Succeeded, w=92\",\"Find(3)=2, Find(4)=2, Add (3,4)=26 Failed, w=92\",\"Find(3)=2, Find(6)=2, Add (3,6)=27 Failed, w=92\",\"Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=92\",\"Find(2)=2, Find(3)=2, Add (2,3)=50 Failed, w=92\",\"Find(4)=2, Find(5)=2, Add (4,5)=55 Failed, w=92\",\"Find(0)=0, Find(7)=2, Add (0,7)=56 Succeeded, w=148\",\"Find(0)=2, Find(5)=2, Add (0,5)=59 Failed, w=148\",\"Find(1)=2, Find(7)=2, Add (1,7)=61 Failed, w=148\",\"Find(2)=2, Find(7)=2, Add (2,7)=67 Failed, w=148\",\"Find(4)=2, Find(6)=2, Add (4,6)=67 Failed, w=148\",\"Find(5)=2, Find(6)=2, Add (5,6)=83 Failed, w=148\",\"Find(4)=2, Find(7)=2, Add (4,7)=84 Failed, w=148\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,5,59],[0,7,56],[1,2,50],[1,3,14],[1,7,61],[2,3,50],[2,4,18],[2,5,22],[2,6,2],[2,7,67],[3,4,26],[3,5,17],[3,6,27],[4,5,55],[4,6,67],[4,7,84],[5,6,83],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(1,3)=14,(3,5)=17,(2,4)=18,(5,7)=19,(2,5)=22,(3,4)=26,(3,6)=27,(1,2)=50,(2,3)=50,(4,5)=55,(0,7)=56,(0,5)=59,(1,7)=61,(2,7)=67,(4,6)=67,(5,6)=83,(4,7)=84,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 2, 7: 7}, Find(3)=1, Find(5)=5, Add (3,5)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=19 Succeeded, w=70\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(5)=1, Add (2,5)=22 Succeeded, w=92\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 1}, Find(3)=2, Find(4)=2, Add (3,4)=26 Failed, w=92\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 1}, Find(3)=2, Find(6)=2, Add (3,6)=27 Failed, w=92\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 1}, Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=92\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(3)=2, Add (2,3)=50 Failed, w=92\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 1}, Find(4)=2, Find(5)=2, Add (4,5)=55 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=56 Succeeded, w=148\",\"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)=59 Failed, w=148\",\"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)=61 Failed, w=148\",\"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)=67 Failed, w=148\",\"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)=67 Failed, w=148\",\"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)=83 Failed, w=148\",\"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)=84 Failed, w=148\",\"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)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,83],[0,2,94],[0,5,9],[0,6,9],[1,2,86],[1,3,90],[1,4,67],[1,5,90],[2,5,99],[2,6,62],[3,4,17],[3,5,91],[3,6,41],[4,5,27],[4,6,10]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,94],[0,5,9],[0,6,9],[1,2,86],[1,3,90],[1,4,67],[1,5,90],[2,5,99],[2,6,62],[3,4,17],[3,5,91],[3,6,41],[4,5,27],[4,6,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,94],[0,5,9],[0,6,9],[1,2,86],[1,3,90],[1,4,67],[1,5,90],[2,5,99],[2,6,62],[3,4,17],[3,5,91],[3,6,41],[4,5,27],[4,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (1,4)\"],\"Answer\":174}",
"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],[0,2,94],[0,5,9],[0,6,9],[1,2,86],[1,3,90],[1,4,67],[1,5,90],[2,5,99],[2,6,62],[3,4,17],[3,5,91],[3,6,41],[4,5,27],[4,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=9, w=9\",\"Add (0,6)=9, w=18\",\"Add (4,6)=10, w=28\",\"Add (3,4)=17, w=45\",\"Add (2,6)=62, w=107\",\"Add (1,4)=67, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,94],[0,5,9],[0,6,9],[1,2,86],[1,3,90],[1,4,67],[1,5,90],[2,5,99],[2,6,62],[3,4,17],[3,5,91],[3,6,41],[4,5,27],[4,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=9 Succeeded, w=9\",\"Add (0,6)=9 Succeeded, w=18\",\"Add (4,6)=10 Succeeded, w=28\",\"Add (3,4)=17 Succeeded, w=45\",\"Add (4,5)=27 Failed, w=45\",\"Add (3,6)=41 Failed, w=45\",\"Add (2,6)=62 Succeeded, w=107\",\"Add (1,4)=67 Succeeded, w=174\",\"Add (0,1)=83 Failed, w=174\",\"Add (1,2)=86 Failed, w=174\",\"Add (1,3)=90 Failed, w=174\",\"Add (1,5)=90 Failed, w=174\",\"Add (3,5)=91 Failed, w=174\",\"Add (0,2)=94 Failed, w=174\",\"Add (2,5)=99 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,94],[0,5,9],[0,6,9],[1,2,86],[1,3,90],[1,4,67],[1,5,90],[2,5,99],[2,6,62],[3,4,17],[3,5,91],[3,6,41],[4,5,27],[4,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=9,(0,6)=9,(4,6)=10,(3,4)=17,(4,5)=27,(3,6)=41,(2,6)=62,(1,4)=67,(0,1)=83,(1,2)=86,(1,3)=90,(1,5)=90,(3,5)=91,(0,2)=94,(2,5)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=9\",\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=18\",\"Find(4)=4, Find(6)=0, Add (4,6)=10 Succeeded, w=28\",\"Find(3)=3, Find(4)=0, Add (3,4)=17 Succeeded, w=45\",\"Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=45\",\"Find(3)=0, Find(6)=0, Add (3,6)=41 Failed, w=45\",\"Find(2)=2, Find(6)=0, Add (2,6)=62 Succeeded, w=107\",\"Find(1)=1, Find(4)=0, Add (1,4)=67 Succeeded, w=174\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=174\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=174\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=174\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=174\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=174\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,94],[0,5,9],[0,6,9],[1,2,86],[1,3,90],[1,4,67],[1,5,90],[2,5,99],[2,6,62],[3,4,17],[3,5,91],[3,6,41],[4,5,27],[4,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=9,(0,6)=9,(4,6)=10,(3,4)=17,(4,5)=27,(3,6)=41,(2,6)=62,(1,4)=67,(0,1)=83,(1,2)=86,(1,3)=90,(1,5)=90,(3,5)=91,(0,2)=94,(2,5)=99]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=10 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=17 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=41 Failed, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=62 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=67 Succeeded, w=174\",\"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=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,92],[0,2,49],[1,2,94],[2,3,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[1,2,94],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[1,2,94],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[1,2,94],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (0,2)=49, w=49\",\"Add (0,1)=92, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[1,2,94],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (0,2)=49 Succeeded, w=49\",\"Add (0,1)=92 Succeeded, w=141\",\"Add (1,2)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[1,2,94],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,2)=49,(0,1)=92,(1,2)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=49\",\"Find(0)=2, Find(1)=1, Add (0,1)=92 Succeeded, w=141\",\"Find(1)=2, Find(2)=2, Add (1,2)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[1,2,94],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,2)=49,(0,1)=92,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=92 Succeeded, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,92],[0,2,23],[0,3,30],[0,4,52],[0,5,72],[1,2,77],[1,3,45],[1,4,25],[1,5,31],[2,3,95],[2,4,63],[2,5,12],[3,4,71],[3,5,34],[4,5,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,23],[0,3,30],[0,4,52],[0,5,72],[1,2,77],[1,3,45],[1,4,25],[1,5,31],[2,3,95],[2,4,63],[2,5,12],[3,4,71],[3,5,34],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,23],[0,3,30],[0,4,52],[0,5,72],[1,2,77],[1,3,45],[1,4,25],[1,5,31],[2,3,95],[2,4,63],[2,5,12],[3,4,71],[3,5,34],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,23],[0,3,30],[0,4,52],[0,5,72],[1,2,77],[1,3,45],[1,4,25],[1,5,31],[2,3,95],[2,4,63],[2,5,12],[3,4,71],[3,5,34],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=12, w=12\",\"Add (0,2)=23, w=35\",\"Add (1,4)=25, w=60\",\"Add (0,3)=30, w=90\",\"Add (1,5)=31, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,23],[0,3,30],[0,4,52],[0,5,72],[1,2,77],[1,3,45],[1,4,25],[1,5,31],[2,3,95],[2,4,63],[2,5,12],[3,4,71],[3,5,34],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=12 Succeeded, w=12\",\"Add (0,2)=23 Succeeded, w=35\",\"Add (1,4)=25 Succeeded, w=60\",\"Add (0,3)=30 Succeeded, w=90\",\"Add (1,5)=31 Succeeded, w=121\",\"Add (3,5)=34 Failed, w=121\",\"Add (1,3)=45 Failed, w=121\",\"Add (0,4)=52 Failed, w=121\",\"Add (2,4)=63 Failed, w=121\",\"Add (3,4)=71 Failed, w=121\",\"Add (0,5)=72 Failed, w=121\",\"Add (1,2)=77 Failed, w=121\",\"Add (0,1)=92 Failed, w=121\",\"Add (2,3)=95 Failed, w=121\",\"Add (4,5)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,23],[0,3,30],[0,4,52],[0,5,72],[1,2,77],[1,3,45],[1,4,25],[1,5,31],[2,3,95],[2,4,63],[2,5,12],[3,4,71],[3,5,34],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=12,(0,2)=23,(1,4)=25,(0,3)=30,(1,5)=31,(3,5)=34,(1,3)=45,(0,4)=52,(2,4)=63,(3,4)=71,(0,5)=72,(1,2)=77,(0,1)=92,(2,3)=95,(4,5)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=60\",\"Find(0)=2, Find(3)=3, Add (0,3)=30 Succeeded, w=90\",\"Find(1)=1, Find(5)=2, Add (1,5)=31 Succeeded, w=121\",\"Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=121\",\"Find(1)=1, Find(3)=1, Add (1,3)=45 Failed, w=121\",\"Find(0)=1, Find(4)=1, Add (0,4)=52 Failed, w=121\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=121\",\"Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=121\",\"Find(0)=1, Find(5)=1, Add (0,5)=72 Failed, w=121\",\"Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=121\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=121\",\"Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=121\",\"Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,23],[0,3,30],[0,4,52],[0,5,72],[1,2,77],[1,3,45],[1,4,25],[1,5,31],[2,3,95],[2,4,63],[2,5,12],[3,4,71],[3,5,34],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=12,(0,2)=23,(1,4)=25,(0,3)=30,(1,5)=31,(3,5)=34,(1,3)=45,(0,4)=52,(2,4)=63,(3,4)=71,(0,5)=72,(1,2)=77,(0,1)=92,(2,3)=95,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=60\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2}, Find(0)=2, Find(3)=3, Add (0,3)=30 Succeeded, w=90\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=31 Succeeded, w=121\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=121\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=45 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=52 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=72 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,47],[0,2,11],[0,3,17],[0,4,90],[1,2,6],[1,3,95],[2,3,23],[2,4,88],[3,4,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,11],[0,3,17],[0,4,90],[1,2,6],[1,3,95],[2,3,23],[2,4,88],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,11],[0,3,17],[0,4,90],[1,2,6],[1,3,95],[2,3,23],[2,4,88],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,11],[0,3,17],[0,4,90],[1,2,6],[1,3,95],[2,3,23],[2,4,88],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (0,2)=11, w=17\",\"Add (0,3)=17, w=34\",\"Add (3,4)=56, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,11],[0,3,17],[0,4,90],[1,2,6],[1,3,95],[2,3,23],[2,4,88],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (0,2)=11 Succeeded, w=17\",\"Add (0,3)=17 Succeeded, w=34\",\"Add (2,3)=23 Failed, w=34\",\"Add (0,1)=47 Failed, w=34\",\"Add (3,4)=56 Succeeded, w=90\",\"Add (2,4)=88 Failed, w=90\",\"Add (0,4)=90 Failed, w=90\",\"Add (1,3)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,11],[0,3,17],[0,4,90],[1,2,6],[1,3,95],[2,3,23],[2,4,88],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,2)=11,(0,3)=17,(2,3)=23,(0,1)=47,(3,4)=56,(2,4)=88,(0,4)=90,(1,3)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=17\",\"Find(0)=1, Find(3)=3, Add (0,3)=17 Succeeded, w=34\",\"Find(2)=1, Find(3)=1, Add (2,3)=23 Failed, w=34\",\"Find(0)=1, Find(1)=1, Add (0,1)=47 Failed, w=34\",\"Find(3)=1, Find(4)=4, Add (3,4)=56 Succeeded, w=90\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=90\",\"Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=90\",\"Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,11],[0,3,17],[0,4,90],[1,2,6],[1,3,95],[2,3,23],[2,4,88],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,2)=11,(0,3)=17,(2,3)=23,(0,1)=47,(3,4)=56,(2,4)=88,(0,4)=90,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(3)=3, Add (0,3)=17 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=1, Add (2,3)=23 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(1)=1, Add (0,1)=47 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=56 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,14],[0,3,35],[1,2,5],[2,3,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,35],[1,2,5],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,35],[1,2,5],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,35],[1,2,5],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (1,2)=5, w=8\",\"Add (0,2)=14, w=22\"],\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,35],[1,2,5],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,2)=5 Succeeded, w=8\",\"Add (0,2)=14 Succeeded, w=22\",\"Add (0,3)=35 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,35],[1,2,5],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,2)=5,(0,2)=14,(0,3)=35]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=22\",\"Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,35],[1,2,5],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,2)=5,(0,2)=14,(0,3)=35]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,2,40],[0,3,59],[0,4,51],[1,2,48],[1,3,54],[1,5,90],[1,6,61],[2,3,5],[2,4,68],[2,5,58],[2,6,20],[3,4,37],[3,5,95],[3,6,71],[4,5,53],[4,6,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,40],[0,3,59],[0,4,51],[1,2,48],[1,3,54],[1,5,90],[1,6,61],[2,3,5],[2,4,68],[2,5,58],[2,6,20],[3,4,37],[3,5,95],[3,6,71],[4,5,53],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,40],[0,3,59],[0,4,51],[1,2,48],[1,3,54],[1,5,90],[1,6,61],[2,3,5],[2,4,68],[2,5,58],[2,6,20],[3,4,37],[3,5,95],[3,6,71],[4,5,53],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,6)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (4,5)\"],\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,40],[0,3,59],[0,4,51],[1,2,48],[1,3,54],[1,5,90],[1,6,61],[2,3,5],[2,4,68],[2,5,58],[2,6,20],[3,4,37],[3,5,95],[3,6,71],[4,5,53],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (2,6)=20, w=25\",\"Add (0,1)=21, w=46\",\"Add (3,4)=37, w=83\",\"Add (0,2)=40, w=123\",\"Add (4,5)=53, w=176\"],\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,40],[0,3,59],[0,4,51],[1,2,48],[1,3,54],[1,5,90],[1,6,61],[2,3,5],[2,4,68],[2,5,58],[2,6,20],[3,4,37],[3,5,95],[3,6,71],[4,5,53],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (2,6)=20 Succeeded, w=25\",\"Add (0,1)=21 Succeeded, w=46\",\"Add (3,4)=37 Succeeded, w=83\",\"Add (0,2)=40 Succeeded, w=123\",\"Add (1,2)=48 Failed, w=123\",\"Add (0,4)=51 Failed, w=123\",\"Add (4,5)=53 Succeeded, w=176\",\"Add (1,3)=54 Failed, w=176\",\"Add (2,5)=58 Failed, w=176\",\"Add (0,3)=59 Failed, w=176\",\"Add (1,6)=61 Failed, w=176\",\"Add (4,6)=63 Failed, w=176\",\"Add (2,4)=68 Failed, w=176\",\"Add (3,6)=71 Failed, w=176\",\"Add (1,5)=90 Failed, w=176\",\"Add (3,5)=95 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,40],[0,3,59],[0,4,51],[1,2,48],[1,3,54],[1,5,90],[1,6,61],[2,3,5],[2,4,68],[2,5,58],[2,6,20],[3,4,37],[3,5,95],[3,6,71],[4,5,53],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(2,6)=20,(0,1)=21,(3,4)=37,(0,2)=40,(1,2)=48,(0,4)=51,(4,5)=53,(1,3)=54,(2,5)=58,(0,3)=59,(1,6)=61,(4,6)=63,(2,4)=68,(3,6)=71,(1,5)=90,(3,5)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=20 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=46\",\"Find(3)=2, Find(4)=4, Add (3,4)=37 Succeeded, w=83\",\"Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=123\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=123\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=123\",\"Find(4)=0, Find(5)=5, Add (4,5)=53 Succeeded, w=176\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=176\",\"Find(2)=0, Find(5)=0, Add (2,5)=58 Failed, w=176\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=176\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=176\",\"Find(4)=0, Find(6)=0, Add (4,6)=63 Failed, w=176\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=176\",\"Find(3)=0, Find(6)=0, Add (3,6)=71 Failed, w=176\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=176\",\"Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,40],[0,3,59],[0,4,51],[1,2,48],[1,3,54],[1,5,90],[1,6,61],[2,3,5],[2,4,68],[2,5,58],[2,6,20],[3,4,37],[3,5,95],[3,6,71],[4,5,53],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(2,6)=20,(0,1)=21,(3,4)=37,(0,2)=40,(1,2)=48,(0,4)=51,(4,5)=53,(1,3)=54,(2,5)=58,(0,3)=59,(1,6)=61,(4,6)=63,(2,4)=68,(3,6)=71,(1,5)=90,(3,5)=95]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=20 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(4)=4, Add (3,4)=37 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 2}, Find(4)=0, Find(5)=5, Add (4,5)=53 Succeeded, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(5)=0, Add (2,5)=58 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=63 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=71 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,27],[0,2,44],[0,3,48],[0,4,79],[1,2,66],[1,3,45],[1,4,100],[2,3,68],[2,4,18],[3,4,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,44],[0,3,48],[0,4,79],[1,2,66],[1,3,45],[1,4,100],[2,3,68],[2,4,18],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,44],[0,3,48],[0,4,79],[1,2,66],[1,3,45],[1,4,100],[2,3,68],[2,4,18],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,44],[0,3,48],[0,4,79],[1,2,66],[1,3,45],[1,4,100],[2,3,68],[2,4,18],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=18, w=18\",\"Add (0,1)=27, w=45\",\"Add (0,2)=44, w=89\",\"Add (1,3)=45, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,44],[0,3,48],[0,4,79],[1,2,66],[1,3,45],[1,4,100],[2,3,68],[2,4,18],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=18 Succeeded, w=18\",\"Add (0,1)=27 Succeeded, w=45\",\"Add (0,2)=44 Succeeded, w=89\",\"Add (1,3)=45 Succeeded, w=134\",\"Add (0,3)=48 Failed, w=134\",\"Add (3,4)=62 Failed, w=134\",\"Add (1,2)=66 Failed, w=134\",\"Add (2,3)=68 Failed, w=134\",\"Add (0,4)=79 Failed, w=134\",\"Add (1,4)=100 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,44],[0,3,48],[0,4,79],[1,2,66],[1,3,45],[1,4,100],[2,3,68],[2,4,18],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=18,(0,1)=27,(0,2)=44,(1,3)=45,(0,3)=48,(3,4)=62,(1,2)=66,(2,3)=68,(0,4)=79,(1,4)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=45\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=89\",\"Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=134\",\"Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=134\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=134\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=134\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=134\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,44],[0,3,48],[0,4,79],[1,2,66],[1,3,45],[1,4,100],[2,3,68],[2,4,18],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=18,(0,1)=27,(0,2)=44,(1,3)=45,(0,3)=48,(3,4)=62,(1,2)=66,(2,3)=68,(0,4)=79,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,2,63],[0,3,93],[0,4,71],[0,5,8],[0,6,13],[0,7,80],[1,2,69],[1,3,21],[1,4,78],[1,5,14],[1,6,2],[2,3,86],[2,4,74],[2,5,98],[2,6,51],[2,7,81],[3,4,97],[3,5,85],[3,6,64],[3,7,73],[4,5,100],[4,6,17],[4,7,50],[5,6,49],[5,7,12],[6,7,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,63],[0,3,93],[0,4,71],[0,5,8],[0,6,13],[0,7,80],[1,2,69],[1,3,21],[1,4,78],[1,5,14],[1,6,2],[2,3,86],[2,4,74],[2,5,98],[2,6,51],[2,7,81],[3,4,97],[3,5,85],[3,6,64],[3,7,73],[4,5,100],[4,6,17],[4,7,50],[5,6,49],[5,7,12],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,63],[0,3,93],[0,4,71],[0,5,8],[0,6,13],[0,7,80],[1,2,69],[1,3,21],[1,4,78],[1,5,14],[1,6,2],[2,3,86],[2,4,74],[2,5,98],[2,6,51],[2,7,81],[3,4,97],[3,5,85],[3,6,64],[3,7,73],[4,5,100],[4,6,17],[4,7,50],[5,6,49],[5,7,12],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (1,3)\",\"Add (2,6)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,63],[0,3,93],[0,4,71],[0,5,8],[0,6,13],[0,7,80],[1,2,69],[1,3,21],[1,4,78],[1,5,14],[1,6,2],[2,3,86],[2,4,74],[2,5,98],[2,6,51],[2,7,81],[3,4,97],[3,5,85],[3,6,64],[3,7,73],[4,5,100],[4,6,17],[4,7,50],[5,6,49],[5,7,12],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2, w=2\",\"Add (0,5)=8, w=10\",\"Add (6,7)=11, w=21\",\"Add (5,7)=12, w=33\",\"Add (4,6)=17, w=50\",\"Add (1,3)=21, w=71\",\"Add (2,6)=51, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,63],[0,3,93],[0,4,71],[0,5,8],[0,6,13],[0,7,80],[1,2,69],[1,3,21],[1,4,78],[1,5,14],[1,6,2],[2,3,86],[2,4,74],[2,5,98],[2,6,51],[2,7,81],[3,4,97],[3,5,85],[3,6,64],[3,7,73],[4,5,100],[4,6,17],[4,7,50],[5,6,49],[5,7,12],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2 Succeeded, w=2\",\"Add (0,5)=8 Succeeded, w=10\",\"Add (6,7)=11 Succeeded, w=21\",\"Add (5,7)=12 Succeeded, w=33\",\"Add (0,6)=13 Failed, w=33\",\"Add (1,5)=14 Failed, w=33\",\"Add (4,6)=17 Succeeded, w=50\",\"Add (1,3)=21 Succeeded, w=71\",\"Add (0,1)=48 Failed, w=71\",\"Add (5,6)=49 Failed, w=71\",\"Add (4,7)=50 Failed, w=71\",\"Add (2,6)=51 Succeeded, w=122\",\"Add (0,2)=63 Failed, w=122\",\"Add (3,6)=64 Failed, w=122\",\"Add (1,2)=69 Failed, w=122\",\"Add (0,4)=71 Failed, w=122\",\"Add (3,7)=73 Failed, w=122\",\"Add (2,4)=74 Failed, w=122\",\"Add (1,4)=78 Failed, w=122\",\"Add (0,7)=80 Failed, w=122\",\"Add (2,7)=81 Failed, w=122\",\"Add (3,5)=85 Failed, w=122\",\"Add (2,3)=86 Failed, w=122\",\"Add (0,3)=93 Failed, w=122\",\"Add (3,4)=97 Failed, w=122\",\"Add (2,5)=98 Failed, w=122\",\"Add (4,5)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,63],[0,3,93],[0,4,71],[0,5,8],[0,6,13],[0,7,80],[1,2,69],[1,3,21],[1,4,78],[1,5,14],[1,6,2],[2,3,86],[2,4,74],[2,5,98],[2,6,51],[2,7,81],[3,4,97],[3,5,85],[3,6,64],[3,7,73],[4,5,100],[4,6,17],[4,7,50],[5,6,49],[5,7,12],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(0,5)=8,(6,7)=11,(5,7)=12,(0,6)=13,(1,5)=14,(4,6)=17,(1,3)=21,(0,1)=48,(5,6)=49,(4,7)=50,(2,6)=51,(0,2)=63,(3,6)=64,(1,2)=69,(0,4)=71,(3,7)=73,(2,4)=74,(1,4)=78,(0,7)=80,(2,7)=81,(3,5)=85,(2,3)=86,(0,3)=93,(3,4)=97,(2,5)=98,(4,5)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=10\",\"Find(6)=1, Find(7)=7, Add (6,7)=11 Succeeded, w=21\",\"Find(5)=0, Find(7)=1, Add (5,7)=12 Succeeded, w=33\",\"Find(0)=0, Find(6)=0, Add (0,6)=13 Failed, w=33\",\"Find(1)=0, Find(5)=0, Add (1,5)=14 Failed, w=33\",\"Find(4)=4, Find(6)=0, Add (4,6)=17 Succeeded, w=50\",\"Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=71\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=71\",\"Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=71\",\"Find(4)=0, Find(7)=0, Add (4,7)=50 Failed, w=71\",\"Find(2)=2, Find(6)=0, Add (2,6)=51 Succeeded, w=122\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=122\",\"Find(3)=0, Find(6)=0, Add (3,6)=64 Failed, w=122\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=122\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=122\",\"Find(3)=0, Find(7)=0, Add (3,7)=73 Failed, w=122\",\"Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=122\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=122\",\"Find(0)=0, Find(7)=0, Add (0,7)=80 Failed, w=122\",\"Find(2)=0, Find(7)=0, Add (2,7)=81 Failed, w=122\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=122\",\"Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=122\",\"Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=122\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=122\",\"Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=122\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,63],[0,3,93],[0,4,71],[0,5,8],[0,6,13],[0,7,80],[1,2,69],[1,3,21],[1,4,78],[1,5,14],[1,6,2],[2,3,86],[2,4,74],[2,5,98],[2,6,51],[2,7,81],[3,4,97],[3,5,85],[3,6,64],[3,7,73],[4,5,100],[4,6,17],[4,7,50],[5,6,49],[5,7,12],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(0,5)=8,(6,7)=11,(5,7)=12,(0,6)=13,(1,5)=14,(4,6)=17,(1,3)=21,(0,1)=48,(5,6)=49,(4,7)=50,(2,6)=51,(0,2)=63,(3,6)=64,(1,2)=69,(0,4)=71,(3,7)=73,(2,4)=74,(1,4)=78,(0,7)=80,(2,7)=81,(3,5)=85,(2,3)=86,(0,3)=93,(3,4)=97,(2,5)=98,(4,5)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1, 7: 1}, Find(6)=1, Find(7)=7, Add (6,7)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1, 7: 1}, Find(5)=0, Find(7)=1, Add (5,7)=12 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(6)=0, Add (0,6)=13 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(5)=0, Add (1,5)=14 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 1}, Find(4)=4, Find(6)=0, Add (4,6)=17 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=50 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(6)=0, Add (2,6)=51 Succeeded, w=122\",\"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)=63 Failed, w=122\",\"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)=64 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=122\",\"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)=71 Failed, w=122\",\"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)=73 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=122\",\"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)=78 Failed, w=122\",\"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)=80 Failed, w=122\",\"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)=81 Failed, w=122\",\"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)=85 Failed, w=122\",\"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)=86 Failed, w=122\",\"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)=93 Failed, w=122\",\"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)=97 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=122\",\"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=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
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