graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,2],[0,2,29],[0,4,19],[1,2,43],[1,4,67],[1,5,44],[2,3,50],[2,4,97],[2,5,11],[2,6,6],[3,4,62],[3,5,51],[3,6,85],[4,5,15],[5,6,33]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,29],[0,4,19],[1,2,43],[1,4,67],[1,5,44],[2,3,50],[2,4,97],[2,5,11],[2,6,6],[3,4,62],[3,5,51],[3,6,85],[4,5,15],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,29],[0,4,19],[1,2,43],[1,4,67],[1,5,44],[2,3,50],[2,4,97],[2,5,11],[2,6,6],[3,4,62],[3,5,51],[3,6,85],[4,5,15],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,6)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,29],[0,4,19],[1,2,43],[1,4,67],[1,5,44],[2,3,50],[2,4,97],[2,5,11],[2,6,6],[3,4,62],[3,5,51],[3,6,85],[4,5,15],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (2,6)=6, w=8\",\"Add (2,5)=11, w=19\",\"Add (4,5)=15, w=34\",\"Add (0,4)=19, w=53\",\"Add (2,3)=50, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,29],[0,4,19],[1,2,43],[1,4,67],[1,5,44],[2,3,50],[2,4,97],[2,5,11],[2,6,6],[3,4,62],[3,5,51],[3,6,85],[4,5,15],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (2,6)=6 Succeeded, w=8\",\"Add (2,5)=11 Succeeded, w=19\",\"Add (4,5)=15 Succeeded, w=34\",\"Add (0,4)=19 Succeeded, w=53\",\"Add (0,2)=29 Failed, w=53\",\"Add (5,6)=33 Failed, w=53\",\"Add (1,2)=43 Failed, w=53\",\"Add (1,5)=44 Failed, w=53\",\"Add (2,3)=50 Succeeded, w=103\",\"Add (3,5)=51 Failed, w=103\",\"Add (3,4)=62 Failed, w=103\",\"Add (1,4)=67 Failed, w=103\",\"Add (3,6)=85 Failed, w=103\",\"Add (2,4)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,29],[0,4,19],[1,2,43],[1,4,67],[1,5,44],[2,3,50],[2,4,97],[2,5,11],[2,6,6],[3,4,62],[3,5,51],[3,6,85],[4,5,15],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,6)=6,(2,5)=11,(4,5)=15,(0,4)=19,(0,2)=29,(5,6)=33,(1,2)=43,(1,5)=44,(2,3)=50,(3,5)=51,(3,4)=62,(1,4)=67,(3,6)=85,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=8\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=19\",\"Find(4)=4, Find(5)=2, Add (4,5)=15 Succeeded, w=34\",\"Find(0)=0, Find(4)=2, Add (0,4)=19 Succeeded, w=53\",\"Find(0)=0, Find(2)=0, Add (0,2)=29 Failed, w=53\",\"Find(5)=0, Find(6)=0, Add (5,6)=33 Failed, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=53\",\"Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=53\",\"Find(2)=0, Find(3)=3, Add (2,3)=50 Succeeded, w=103\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=103\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=103\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=103\",\"Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=103\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,29],[0,4,19],[1,2,43],[1,4,67],[1,5,44],[2,3,50],[2,4,97],[2,5,11],[2,6,6],[3,4,62],[3,5,51],[3,6,85],[4,5,15],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,6)=6,(2,5)=11,(4,5)=15,(0,4)=19,(0,2)=29,(5,6)=33,(1,2)=43,(1,5)=44,(2,3)=50,(3,5)=51,(3,4)=62,(1,4)=67,(3,6)=85,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(4)=4, Find(5)=2, Add (4,5)=15 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=19 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(2)=0, Add (0,2)=29 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=33 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=50 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,96],[0,3,28],[0,5,9],[1,2,25],[1,4,49],[1,6,59],[2,4,7],[2,6,5],[3,4,31],[4,5,74],[5,6,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,96],[0,3,28],[0,5,9],[1,2,25],[1,4,49],[1,6,59],[2,4,7],[2,6,5],[3,4,31],[4,5,74],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,96],[0,3,28],[0,5,9],[1,2,25],[1,4,49],[1,6,59],[2,4,7],[2,6,5],[3,4,31],[4,5,74],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,6)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,96],[0,3,28],[0,5,9],[1,2,25],[1,4,49],[1,6,59],[2,4,7],[2,6,5],[3,4,31],[4,5,74],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2, w=2\",\"Add (2,6)=5, w=7\",\"Add (2,4)=7, w=14\",\"Add (0,5)=9, w=23\",\"Add (1,2)=25, w=48\",\"Add (0,3)=28, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,96],[0,3,28],[0,5,9],[1,2,25],[1,4,49],[1,6,59],[2,4,7],[2,6,5],[3,4,31],[4,5,74],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2 Succeeded, w=2\",\"Add (2,6)=5 Succeeded, w=7\",\"Add (2,4)=7 Succeeded, w=14\",\"Add (0,5)=9 Succeeded, w=23\",\"Add (1,2)=25 Succeeded, w=48\",\"Add (0,3)=28 Succeeded, w=76\",\"Add (3,4)=31 Failed, w=76\",\"Add (1,4)=49 Failed, w=76\",\"Add (1,6)=59 Failed, w=76\",\"Add (4,5)=74 Failed, w=76\",\"Add (0,2)=96 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,96],[0,3,28],[0,5,9],[1,2,25],[1,4,49],[1,6,59],[2,4,7],[2,6,5],[3,4,31],[4,5,74],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(2,6)=5,(2,4)=7,(0,5)=9,(1,2)=25,(0,3)=28,(3,4)=31,(1,4)=49,(1,6)=59,(4,5)=74,(0,2)=96]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Find(2)=2, Find(6)=5, Add (2,6)=5 Succeeded, w=7\",\"Find(2)=5, Find(4)=4, Add (2,4)=7 Succeeded, w=14\",\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=23\",\"Find(1)=1, Find(2)=5, Add (1,2)=25 Succeeded, w=48\",\"Find(0)=5, Find(3)=3, Add (0,3)=28 Succeeded, w=76\",\"Find(3)=5, Find(4)=5, Add (3,4)=31 Failed, w=76\",\"Find(1)=5, Find(4)=5, Add (1,4)=49 Failed, w=76\",\"Find(1)=5, Find(6)=5, Add (1,6)=59 Failed, w=76\",\"Find(4)=5, Find(5)=5, Add (4,5)=74 Failed, w=76\",\"Find(0)=5, Find(2)=5, Add (0,2)=96 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,96],[0,3,28],[0,5,9],[1,2,25],[1,4,49],[1,6,59],[2,4,7],[2,6,5],[3,4,31],[4,5,74],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(2,6)=5,(2,4)=7,(0,5)=9,(1,2)=25,(0,3)=28,(3,4)=31,(1,4)=49,(1,6)=59,(4,5)=74,(0,2)=96]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=4, Add (2,4)=7 Succeeded, w=14\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=23\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(1)=1, Find(2)=5, Add (1,2)=25 Succeeded, w=48\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=3, Add (0,3)=28 Succeeded, w=76\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(4)=5, Add (3,4)=31 Failed, w=76\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=5, Add (1,4)=49 Failed, w=76\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=59 Failed, w=76\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=74 Failed, w=76\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(2)=5, Add (0,2)=96 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,19],[0,2,8],[0,3,89],[0,5,5],[1,5,45],[2,4,38],[2,5,19],[3,4,4],[3,5,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,8],[0,3,89],[0,5,5],[1,5,45],[2,4,38],[2,5,19],[3,4,4],[3,5,41]]}",
"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\":[[0,1,19],[0,2,8],[0,3,89],[0,5,5],[1,5,45],[2,4,38],[2,5,19],[3,4,4],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (0,1)\",\"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\":[[0,1,19],[0,2,8],[0,3,89],[0,5,5],[1,5,45],[2,4,38],[2,5,19],[3,4,4],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (0,5)=5, w=9\",\"Add (0,2)=8, w=17\",\"Add (0,1)=19, w=36\",\"Add (2,4)=38, 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\":[[0,1,19],[0,2,8],[0,3,89],[0,5,5],[1,5,45],[2,4,38],[2,5,19],[3,4,4],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (0,5)=5 Succeeded, w=9\",\"Add (0,2)=8 Succeeded, w=17\",\"Add (0,1)=19 Succeeded, w=36\",\"Add (2,5)=19 Failed, w=36\",\"Add (2,4)=38 Succeeded, w=74\",\"Add (3,5)=41 Failed, w=74\",\"Add (1,5)=45 Failed, w=74\",\"Add (0,3)=89 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\":[[0,1,19],[0,2,8],[0,3,89],[0,5,5],[1,5,45],[2,4,38],[2,5,19],[3,4,4],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,5)=5,(0,2)=8,(0,1)=19,(2,5)=19,(2,4)=38,(3,5)=41,(1,5)=45,(0,3)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=36\",\"Find(2)=0, Find(5)=0, Add (2,5)=19 Failed, w=36\",\"Find(2)=0, Find(4)=3, Add (2,4)=38 Succeeded, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=74\",\"Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 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\":[[0,1,19],[0,2,8],[0,3,89],[0,5,5],[1,5,45],[2,4,38],[2,5,19],[3,4,4],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,5)=5,(0,2)=8,(0,1)=19,(2,5)=19,(2,4)=38,(3,5)=41,(1,5)=45,(0,3)=89]\",\"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: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=19 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(4)=3, Add (2,4)=38 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,85],[0,2,9],[0,3,89],[0,4,59],[0,5,38],[0,6,68],[0,7,1],[1,2,86],[1,3,48],[1,4,18],[1,5,84],[1,6,49],[1,7,35],[2,3,34],[2,4,14],[2,5,14],[2,6,12],[2,7,77],[3,4,29],[3,5,58],[3,6,8],[3,7,25],[4,5,33],[4,6,30],[5,6,50],[5,7,73],[6,7,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,9],[0,3,89],[0,4,59],[0,5,38],[0,6,68],[0,7,1],[1,2,86],[1,3,48],[1,4,18],[1,5,84],[1,6,49],[1,7,35],[2,3,34],[2,4,14],[2,5,14],[2,6,12],[2,7,77],[3,4,29],[3,5,58],[3,6,8],[3,7,25],[4,5,33],[4,6,30],[5,6,50],[5,7,73],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,9],[0,3,89],[0,4,59],[0,5,38],[0,6,68],[0,7,1],[1,2,86],[1,3,48],[1,4,18],[1,5,84],[1,6,49],[1,7,35],[2,3,34],[2,4,14],[2,5,14],[2,6,12],[2,7,77],[3,4,29],[3,5,58],[3,6,8],[3,7,25],[4,5,33],[4,6,30],[5,6,50],[5,7,73],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (0,7)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":64}",
"role": "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],[0,2,9],[0,3,89],[0,4,59],[0,5,38],[0,6,68],[0,7,1],[1,2,86],[1,3,48],[1,4,18],[1,5,84],[1,6,49],[1,7,35],[2,3,34],[2,4,14],[2,5,14],[2,6,12],[2,7,77],[3,4,29],[3,5,58],[3,6,8],[3,7,25],[4,5,33],[4,6,30],[5,6,50],[5,7,73],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0, w=0\",\"Add (0,7)=1, w=1\",\"Add (3,6)=8, w=9\",\"Add (0,2)=9, w=18\",\"Add (2,4)=14, w=32\",\"Add (2,5)=14, w=46\",\"Add (1,4)=18, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,9],[0,3,89],[0,4,59],[0,5,38],[0,6,68],[0,7,1],[1,2,86],[1,3,48],[1,4,18],[1,5,84],[1,6,49],[1,7,35],[2,3,34],[2,4,14],[2,5,14],[2,6,12],[2,7,77],[3,4,29],[3,5,58],[3,6,8],[3,7,25],[4,5,33],[4,6,30],[5,6,50],[5,7,73],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0 Succeeded, w=0\",\"Add (0,7)=1 Succeeded, w=1\",\"Add (3,6)=8 Succeeded, w=9\",\"Add (0,2)=9 Succeeded, w=18\",\"Add (2,6)=12 Failed, w=18\",\"Add (2,4)=14 Succeeded, w=32\",\"Add (2,5)=14 Succeeded, w=46\",\"Add (1,4)=18 Succeeded, w=64\",\"Add (3,7)=25 Failed, w=64\",\"Add (3,4)=29 Failed, w=64\",\"Add (4,6)=30 Failed, w=64\",\"Add (4,5)=33 Failed, w=64\",\"Add (2,3)=34 Failed, w=64\",\"Add (1,7)=35 Failed, w=64\",\"Add (0,5)=38 Failed, w=64\",\"Add (1,3)=48 Failed, w=64\",\"Add (1,6)=49 Failed, w=64\",\"Add (5,6)=50 Failed, w=64\",\"Add (3,5)=58 Failed, w=64\",\"Add (0,4)=59 Failed, w=64\",\"Add (0,6)=68 Failed, w=64\",\"Add (5,7)=73 Failed, w=64\",\"Add (2,7)=77 Failed, w=64\",\"Add (1,5)=84 Failed, w=64\",\"Add (0,1)=85 Failed, w=64\",\"Add (1,2)=86 Failed, w=64\",\"Add (0,3)=89 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,9],[0,3,89],[0,4,59],[0,5,38],[0,6,68],[0,7,1],[1,2,86],[1,3,48],[1,4,18],[1,5,84],[1,6,49],[1,7,35],[2,3,34],[2,4,14],[2,5,14],[2,6,12],[2,7,77],[3,4,29],[3,5,58],[3,6,8],[3,7,25],[4,5,33],[4,6,30],[5,6,50],[5,7,73],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(0,7)=1,(3,6)=8,(0,2)=9,(2,6)=12,(2,4)=14,(2,5)=14,(1,4)=18,(3,7)=25,(3,4)=29,(4,6)=30,(4,5)=33,(2,3)=34,(1,7)=35,(0,5)=38,(1,3)=48,(1,6)=49,(5,6)=50,(3,5)=58,(0,4)=59,(0,6)=68,(5,7)=73,(2,7)=77,(1,5)=84,(0,1)=85,(1,2)=86,(0,3)=89]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(7)=6, Add (0,7)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=9\",\"Find(0)=6, Find(2)=2, Add (0,2)=9 Succeeded, w=18\",\"Find(2)=6, Find(6)=6, Add (2,6)=12 Failed, w=18\",\"Find(2)=6, Find(4)=4, Add (2,4)=14 Succeeded, w=32\",\"Find(2)=6, Find(5)=5, Add (2,5)=14 Succeeded, w=46\",\"Find(1)=1, Find(4)=6, Add (1,4)=18 Succeeded, w=64\",\"Find(3)=6, Find(7)=6, Add (3,7)=25 Failed, w=64\",\"Find(3)=6, Find(4)=6, Add (3,4)=29 Failed, w=64\",\"Find(4)=6, Find(6)=6, Add (4,6)=30 Failed, w=64\",\"Find(4)=6, Find(5)=6, Add (4,5)=33 Failed, w=64\",\"Find(2)=6, Find(3)=6, Add (2,3)=34 Failed, w=64\",\"Find(1)=6, Find(7)=6, Add (1,7)=35 Failed, w=64\",\"Find(0)=6, Find(5)=6, Add (0,5)=38 Failed, w=64\",\"Find(1)=6, Find(3)=6, Add (1,3)=48 Failed, w=64\",\"Find(1)=6, Find(6)=6, Add (1,6)=49 Failed, w=64\",\"Find(5)=6, Find(6)=6, Add (5,6)=50 Failed, w=64\",\"Find(3)=6, Find(5)=6, Add (3,5)=58 Failed, w=64\",\"Find(0)=6, Find(4)=6, Add (0,4)=59 Failed, w=64\",\"Find(0)=6, Find(6)=6, Add (0,6)=68 Failed, w=64\",\"Find(5)=6, Find(7)=6, Add (5,7)=73 Failed, w=64\",\"Find(2)=6, Find(7)=6, Add (2,7)=77 Failed, w=64\",\"Find(1)=6, Find(5)=6, Add (1,5)=84 Failed, w=64\",\"Find(0)=6, Find(1)=6, Add (0,1)=85 Failed, w=64\",\"Find(1)=6, Find(2)=6, Add (1,2)=86 Failed, w=64\",\"Find(0)=6, Find(3)=6, Add (0,3)=89 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,9],[0,3,89],[0,4,59],[0,5,38],[0,6,68],[0,7,1],[1,2,86],[1,3,48],[1,4,18],[1,5,84],[1,6,49],[1,7,35],[2,3,34],[2,4,14],[2,5,14],[2,6,12],[2,7,77],[3,4,29],[3,5,58],[3,6,8],[3,7,25],[4,5,33],[4,6,30],[5,6,50],[5,7,73],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(0,7)=1,(3,6)=8,(0,2)=9,(2,6)=12,(2,4)=14,(2,5)=14,(1,4)=18,(3,7)=25,(3,4)=29,(4,6)=30,(4,5)=33,(2,3)=34,(1,7)=35,(0,5)=38,(1,3)=48,(1,6)=49,(5,6)=50,(3,5)=58,(0,4)=59,(0,6)=68,(5,7)=73,(2,7)=77,(1,5)=84,(0,1)=85,(1,2)=86,(0,3)=89]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(7)=6, Add (0,7)=1 Succeeded, w=1\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=9\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=6, Find(2)=2, Add (0,2)=9 Succeeded, w=18\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(2)=6, Find(6)=6, Add (2,6)=12 Failed, w=18\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 6, 4: 6, 5: 5, 6: 6, 7: 6}, Find(2)=6, Find(4)=4, Add (2,4)=14 Succeeded, w=32\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(5)=5, Add (2,5)=14 Succeeded, w=46\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=1, Find(4)=6, Add (1,4)=18 Succeeded, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(7)=6, Add (3,7)=25 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(4)=6, Add (3,4)=29 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(6)=6, Add (4,6)=30 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(5)=6, Add (4,5)=33 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(3)=6, Add (2,3)=34 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(7)=6, Add (1,7)=35 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(5)=6, Add (0,5)=38 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(3)=6, Add (1,3)=48 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(6)=6, Add (1,6)=49 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(6)=6, Add (5,6)=50 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(5)=6, Add (3,5)=58 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(4)=6, Add (0,4)=59 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(6)=6, Add (0,6)=68 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(7)=6, Add (5,7)=73 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(7)=6, Add (2,7)=77 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(5)=6, Add (1,5)=84 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(1)=6, Add (0,1)=85 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(2)=6, Add (1,2)=86 Failed, w=64\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(3)=6, Add (0,3)=89 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,30],[0,2,54],[0,3,94],[0,4,31],[0,5,74],[0,6,28],[0,7,3],[1,2,38],[1,3,4],[1,4,100],[1,6,65],[2,3,8],[2,4,58],[2,5,10],[2,6,64],[3,4,96],[3,5,2],[3,7,63],[4,7,30],[5,6,67],[5,7,7],[6,7,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,54],[0,3,94],[0,4,31],[0,5,74],[0,6,28],[0,7,3],[1,2,38],[1,3,4],[1,4,100],[1,6,65],[2,3,8],[2,4,58],[2,5,10],[2,6,64],[3,4,96],[3,5,2],[3,7,63],[4,7,30],[5,6,67],[5,7,7],[6,7,75]]}",
"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\":[[0,1,30],[0,2,54],[0,3,94],[0,4,31],[0,5,74],[0,6,28],[0,7,3],[1,2,38],[1,3,4],[1,4,100],[1,6,65],[2,3,8],[2,4,58],[2,5,10],[2,6,64],[3,4,96],[3,5,2],[3,7,63],[4,7,30],[5,6,67],[5,7,7],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,7)\",\"Add (1,3)\",\"Add (5,7)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (4,7)\"],\"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\":[[0,1,30],[0,2,54],[0,3,94],[0,4,31],[0,5,74],[0,6,28],[0,7,3],[1,2,38],[1,3,4],[1,4,100],[1,6,65],[2,3,8],[2,4,58],[2,5,10],[2,6,64],[3,4,96],[3,5,2],[3,7,63],[4,7,30],[5,6,67],[5,7,7],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (0,7)=3, w=5\",\"Add (1,3)=4, w=9\",\"Add (5,7)=7, w=16\",\"Add (2,3)=8, w=24\",\"Add (0,6)=28, w=52\",\"Add (4,7)=30, 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\":[[0,1,30],[0,2,54],[0,3,94],[0,4,31],[0,5,74],[0,6,28],[0,7,3],[1,2,38],[1,3,4],[1,4,100],[1,6,65],[2,3,8],[2,4,58],[2,5,10],[2,6,64],[3,4,96],[3,5,2],[3,7,63],[4,7,30],[5,6,67],[5,7,7],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (0,7)=3 Succeeded, w=5\",\"Add (1,3)=4 Succeeded, w=9\",\"Add (5,7)=7 Succeeded, w=16\",\"Add (2,3)=8 Succeeded, w=24\",\"Add (2,5)=10 Failed, w=24\",\"Add (0,6)=28 Succeeded, w=52\",\"Add (0,1)=30 Failed, w=52\",\"Add (4,7)=30 Succeeded, w=82\",\"Add (0,4)=31 Failed, w=82\",\"Add (1,2)=38 Failed, w=82\",\"Add (0,2)=54 Failed, w=82\",\"Add (2,4)=58 Failed, w=82\",\"Add (3,7)=63 Failed, w=82\",\"Add (2,6)=64 Failed, w=82\",\"Add (1,6)=65 Failed, w=82\",\"Add (5,6)=67 Failed, w=82\",\"Add (0,5)=74 Failed, w=82\",\"Add (6,7)=75 Failed, w=82\",\"Add (0,3)=94 Failed, w=82\",\"Add (3,4)=96 Failed, w=82\",\"Add (1,4)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,54],[0,3,94],[0,4,31],[0,5,74],[0,6,28],[0,7,3],[1,2,38],[1,3,4],[1,4,100],[1,6,65],[2,3,8],[2,4,58],[2,5,10],[2,6,64],[3,4,96],[3,5,2],[3,7,63],[4,7,30],[5,6,67],[5,7,7],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,7)=3,(1,3)=4,(5,7)=7,(2,3)=8,(2,5)=10,(0,6)=28,(0,1)=30,(4,7)=30,(0,4)=31,(1,2)=38,(0,2)=54,(2,4)=58,(3,7)=63,(2,6)=64,(1,6)=65,(5,6)=67,(0,5)=74,(6,7)=75,(0,3)=94,(3,4)=96,(1,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=9\",\"Find(5)=3, Find(7)=0, Add (5,7)=7 Succeeded, w=16\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=24\",\"Find(2)=3, Find(5)=3, Add (2,5)=10 Failed, w=24\",\"Find(0)=3, Find(6)=6, Add (0,6)=28 Succeeded, w=52\",\"Find(0)=3, Find(1)=3, Add (0,1)=30 Failed, w=52\",\"Find(4)=4, Find(7)=3, Add (4,7)=30 Succeeded, w=82\",\"Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=82\",\"Find(1)=3, Find(2)=3, Add (1,2)=38 Failed, w=82\",\"Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=82\",\"Find(2)=3, Find(4)=3, Add (2,4)=58 Failed, w=82\",\"Find(3)=3, Find(7)=3, Add (3,7)=63 Failed, w=82\",\"Find(2)=3, Find(6)=3, Add (2,6)=64 Failed, w=82\",\"Find(1)=3, Find(6)=3, Add (1,6)=65 Failed, w=82\",\"Find(5)=3, Find(6)=3, Add (5,6)=67 Failed, w=82\",\"Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=82\",\"Find(6)=3, Find(7)=3, Add (6,7)=75 Failed, w=82\",\"Find(0)=3, Find(3)=3, Add (0,3)=94 Failed, w=82\",\"Find(3)=3, Find(4)=3, Add (3,4)=96 Failed, w=82\",\"Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,54],[0,3,94],[0,4,31],[0,5,74],[0,6,28],[0,7,3],[1,2,38],[1,3,4],[1,4,100],[1,6,65],[2,3,8],[2,4,58],[2,5,10],[2,6,64],[3,4,96],[3,5,2],[3,7,63],[4,7,30],[5,6,67],[5,7,7],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,7)=3,(1,3)=4,(5,7)=7,(2,3)=8,(2,5)=10,(0,6)=28,(0,1)=30,(4,7)=30,(0,4)=31,(1,2)=38,(0,2)=54,(2,4)=58,(3,7)=63,(2,6)=64,(1,6)=65,(5,6)=67,(0,5)=74,(6,7)=75,(0,3)=94,(3,4)=96,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=9\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(5)=3, Find(7)=0, Add (5,7)=7 Succeeded, w=16\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=24\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(2)=3, Find(5)=3, Add (2,5)=10 Failed, w=24\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(6)=6, Add (0,6)=28 Succeeded, w=52\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(1)=3, Add (0,1)=30 Failed, w=52\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=30 Succeeded, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=38 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=58 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=63 Failed, w=82\",\"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)=64 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=65 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=67 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=75 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=94 Failed, w=82\",\"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)=96 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,69],[0,2,62],[0,3,85],[0,5,22],[1,2,72],[1,3,41],[1,4,16],[1,5,60],[2,3,73],[2,4,59],[2,5,25],[3,4,47],[3,5,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,62],[0,3,85],[0,5,22],[1,2,72],[1,3,41],[1,4,16],[1,5,60],[2,3,73],[2,4,59],[2,5,25],[3,4,47],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,62],[0,3,85],[0,5,22],[1,2,72],[1,3,41],[1,4,16],[1,5,60],[2,3,73],[2,4,59],[2,5,25],[3,4,47],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (3,5)\"],\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,62],[0,3,85],[0,5,22],[1,2,72],[1,3,41],[1,4,16],[1,5,60],[2,3,73],[2,4,59],[2,5,25],[3,4,47],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16, w=16\",\"Add (0,5)=22, w=38\",\"Add (2,5)=25, w=63\",\"Add (1,3)=41, w=104\",\"Add (3,5)=52, w=156\"],\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,62],[0,3,85],[0,5,22],[1,2,72],[1,3,41],[1,4,16],[1,5,60],[2,3,73],[2,4,59],[2,5,25],[3,4,47],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16 Succeeded, w=16\",\"Add (0,5)=22 Succeeded, w=38\",\"Add (2,5)=25 Succeeded, w=63\",\"Add (1,3)=41 Succeeded, w=104\",\"Add (3,4)=47 Failed, w=104\",\"Add (3,5)=52 Succeeded, w=156\",\"Add (2,4)=59 Failed, w=156\",\"Add (1,5)=60 Failed, w=156\",\"Add (0,2)=62 Failed, w=156\",\"Add (0,1)=69 Failed, w=156\",\"Add (1,2)=72 Failed, w=156\",\"Add (2,3)=73 Failed, w=156\",\"Add (0,3)=85 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,62],[0,3,85],[0,5,22],[1,2,72],[1,3,41],[1,4,16],[1,5,60],[2,3,73],[2,4,59],[2,5,25],[3,4,47],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(0,5)=22,(2,5)=25,(1,3)=41,(3,4)=47,(3,5)=52,(2,4)=59,(1,5)=60,(0,2)=62,(0,1)=69,(1,2)=72,(2,3)=73,(0,3)=85]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=38\",\"Find(2)=2, Find(5)=0, Add (2,5)=25 Succeeded, w=63\",\"Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=104\",\"Find(3)=1, Find(4)=1, Add (3,4)=47 Failed, w=104\",\"Find(3)=1, Find(5)=0, Add (3,5)=52 Succeeded, w=156\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=156\",\"Find(1)=1, Find(5)=1, Add (1,5)=60 Failed, w=156\",\"Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=156\",\"Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=156\",\"Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=156\",\"Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=156\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,62],[0,3,85],[0,5,22],[1,2,72],[1,3,41],[1,4,16],[1,5,60],[2,3,73],[2,4,59],[2,5,25],[3,4,47],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(0,5)=22,(2,5)=25,(1,3)=41,(3,4)=47,(3,5)=52,(2,4)=59,(1,5)=60,(0,2)=62,(0,1)=69,(1,2)=72,(2,3)=73,(0,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=25 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(3)=1, Find(4)=1, Add (3,4)=47 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(3)=1, Find(5)=0, Add (3,5)=52 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=60 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,30],[0,2,26],[0,3,60],[0,4,25],[0,6,85],[0,7,30],[1,2,21],[1,3,4],[1,4,66],[1,5,41],[1,6,63],[1,7,26],[2,3,5],[2,4,91],[2,5,84],[2,6,83],[2,7,0],[3,4,55],[3,5,23],[3,6,80],[3,7,1],[4,5,80],[4,6,39],[4,7,70],[5,6,7],[5,7,43],[6,7,23]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,26],[0,3,60],[0,4,25],[0,6,85],[0,7,30],[1,2,21],[1,3,4],[1,4,66],[1,5,41],[1,6,63],[1,7,26],[2,3,5],[2,4,91],[2,5,84],[2,6,83],[2,7,0],[3,4,55],[3,5,23],[3,6,80],[3,7,1],[4,5,80],[4,6,39],[4,7,70],[5,6,7],[5,7,43],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,26],[0,3,60],[0,4,25],[0,6,85],[0,7,30],[1,2,21],[1,3,4],[1,4,66],[1,5,41],[1,6,63],[1,7,26],[2,3,5],[2,4,91],[2,5,84],[2,6,83],[2,7,0],[3,4,55],[3,5,23],[3,6,80],[3,7,1],[4,5,80],[4,6,39],[4,7,70],[5,6,7],[5,7,43],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (3,7)\",\"Add (1,3)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,26],[0,3,60],[0,4,25],[0,6,85],[0,7,30],[1,2,21],[1,3,4],[1,4,66],[1,5,41],[1,6,63],[1,7,26],[2,3,5],[2,4,91],[2,5,84],[2,6,83],[2,7,0],[3,4,55],[3,5,23],[3,6,80],[3,7,1],[4,5,80],[4,6,39],[4,7,70],[5,6,7],[5,7,43],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=0, w=0\",\"Add (3,7)=1, w=1\",\"Add (1,3)=4, w=5\",\"Add (5,6)=7, w=12\",\"Add (3,5)=23, w=35\",\"Add (0,4)=25, w=60\",\"Add (0,2)=26, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,26],[0,3,60],[0,4,25],[0,6,85],[0,7,30],[1,2,21],[1,3,4],[1,4,66],[1,5,41],[1,6,63],[1,7,26],[2,3,5],[2,4,91],[2,5,84],[2,6,83],[2,7,0],[3,4,55],[3,5,23],[3,6,80],[3,7,1],[4,5,80],[4,6,39],[4,7,70],[5,6,7],[5,7,43],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=0 Succeeded, w=0\",\"Add (3,7)=1 Succeeded, w=1\",\"Add (1,3)=4 Succeeded, w=5\",\"Add (2,3)=5 Failed, w=5\",\"Add (5,6)=7 Succeeded, w=12\",\"Add (1,2)=21 Failed, w=12\",\"Add (3,5)=23 Succeeded, w=35\",\"Add (6,7)=23 Failed, w=35\",\"Add (0,4)=25 Succeeded, w=60\",\"Add (0,2)=26 Succeeded, w=86\",\"Add (1,7)=26 Failed, w=86\",\"Add (0,1)=30 Failed, w=86\",\"Add (0,7)=30 Failed, w=86\",\"Add (4,6)=39 Failed, w=86\",\"Add (1,5)=41 Failed, w=86\",\"Add (5,7)=43 Failed, w=86\",\"Add (3,4)=55 Failed, w=86\",\"Add (0,3)=60 Failed, w=86\",\"Add (1,6)=63 Failed, w=86\",\"Add (1,4)=66 Failed, w=86\",\"Add (4,7)=70 Failed, w=86\",\"Add (3,6)=80 Failed, w=86\",\"Add (4,5)=80 Failed, w=86\",\"Add (2,6)=83 Failed, w=86\",\"Add (2,5)=84 Failed, w=86\",\"Add (0,6)=85 Failed, w=86\",\"Add (2,4)=91 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,26],[0,3,60],[0,4,25],[0,6,85],[0,7,30],[1,2,21],[1,3,4],[1,4,66],[1,5,41],[1,6,63],[1,7,26],[2,3,5],[2,4,91],[2,5,84],[2,6,83],[2,7,0],[3,4,55],[3,5,23],[3,6,80],[3,7,1],[4,5,80],[4,6,39],[4,7,70],[5,6,7],[5,7,43],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=0,(3,7)=1,(1,3)=4,(2,3)=5,(5,6)=7,(1,2)=21,(3,5)=23,(6,7)=23,(0,4)=25,(0,2)=26,(1,7)=26,(0,1)=30,(0,7)=30,(4,6)=39,(1,5)=41,(5,7)=43,(3,4)=55,(0,3)=60,(1,6)=63,(1,4)=66,(4,7)=70,(3,6)=80,(4,5)=80,(2,6)=83,(2,5)=84,(0,6)=85,(2,4)=91]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(7)=2, Add (3,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=2, Add (1,3)=4 Succeeded, w=5\",\"Find(2)=2, Find(3)=2, Add (2,3)=5 Failed, w=5\",\"Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=12\",\"Find(1)=2, Find(2)=2, Add (1,2)=21 Failed, w=12\",\"Find(3)=2, Find(5)=5, Add (3,5)=23 Succeeded, w=35\",\"Find(6)=2, Find(7)=2, Add (6,7)=23 Failed, w=35\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=60\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=86\",\"Find(1)=2, Find(7)=2, Add (1,7)=26 Failed, w=86\",\"Find(0)=2, Find(1)=2, Add (0,1)=30 Failed, w=86\",\"Find(0)=2, Find(7)=2, Add (0,7)=30 Failed, w=86\",\"Find(4)=2, Find(6)=2, Add (4,6)=39 Failed, w=86\",\"Find(1)=2, Find(5)=2, Add (1,5)=41 Failed, w=86\",\"Find(5)=2, Find(7)=2, Add (5,7)=43 Failed, w=86\",\"Find(3)=2, Find(4)=2, Add (3,4)=55 Failed, w=86\",\"Find(0)=2, Find(3)=2, Add (0,3)=60 Failed, w=86\",\"Find(1)=2, Find(6)=2, Add (1,6)=63 Failed, w=86\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=86\",\"Find(4)=2, Find(7)=2, Add (4,7)=70 Failed, w=86\",\"Find(3)=2, Find(6)=2, Add (3,6)=80 Failed, w=86\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=86\",\"Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=86\",\"Find(2)=2, Find(5)=2, Add (2,5)=84 Failed, w=86\",\"Find(0)=2, Find(6)=2, Add (0,6)=85 Failed, w=86\",\"Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,26],[0,3,60],[0,4,25],[0,6,85],[0,7,30],[1,2,21],[1,3,4],[1,4,66],[1,5,41],[1,6,63],[1,7,26],[2,3,5],[2,4,91],[2,5,84],[2,6,83],[2,7,0],[3,4,55],[3,5,23],[3,6,80],[3,7,1],[4,5,80],[4,6,39],[4,7,70],[5,6,7],[5,7,43],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=0,(3,7)=1,(1,3)=4,(2,3)=5,(5,6)=7,(1,2)=21,(3,5)=23,(6,7)=23,(0,4)=25,(0,2)=26,(1,7)=26,(0,1)=30,(0,7)=30,(4,6)=39,(1,5)=41,(5,7)=43,(3,4)=55,(0,3)=60,(1,6)=63,(1,4)=66,(4,7)=70,(3,6)=80,(4,5)=80,(2,6)=83,(2,5)=84,(0,6)=85,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(3)=2, Add (1,3)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=5 Failed, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=21 Failed, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 5, 7: 2}, Find(3)=2, Find(5)=5, Add (3,5)=23 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=23 Failed, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=26 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=30 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=30 Failed, w=86\",\"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)=39 Failed, w=86\",\"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)=41 Failed, w=86\",\"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)=43 Failed, w=86\",\"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)=55 Failed, w=86\",\"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)=60 Failed, w=86\",\"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)=63 Failed, w=86\",\"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)=66 Failed, w=86\",\"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)=70 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=80 Failed, w=86\",\"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)=80 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=86\",\"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)=84 Failed, w=86\",\"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)=85 Failed, w=86\",\"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)=91 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,2,22],[1,3,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,22],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,22],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,22],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22, w=22\",\"Add (1,3)=57, w=79\",\"Add (0,1)=70, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,22],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22 Succeeded, w=22\",\"Add (1,3)=57 Succeeded, w=79\",\"Add (0,1)=70 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,22],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(1,3)=57,(0,1)=70]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=79\",\"Find(0)=0, Find(1)=1, Add (0,1)=70 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,22],[1,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(1,3)=57,(0,1)=70]\",\"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: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=70 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[1,2,91],[1,4,39],[1,5,23],[3,4,68],[4,5,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,91],[1,4,39],[1,5,23],[3,4,68],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,91],[1,4,39],[1,5,23],[3,4,68],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,91],[1,4,39],[1,5,23],[3,4,68],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=23, w=23\",\"Add (1,4)=39, w=62\",\"Add (3,4)=68, w=130\",\"Add (1,2)=91, w=221\"],\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,91],[1,4,39],[1,5,23],[3,4,68],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=23 Succeeded, w=23\",\"Add (1,4)=39 Succeeded, w=62\",\"Add (3,4)=68 Succeeded, w=130\",\"Add (4,5)=83 Failed, w=130\",\"Add (1,2)=91 Succeeded, w=221\"],\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,91],[1,4,39],[1,5,23],[3,4,68],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=23,(1,4)=39,(3,4)=68,(4,5)=83,(1,2)=91]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=23\",\"Find(1)=1, Find(4)=4, Add (1,4)=39 Succeeded, w=62\",\"Find(3)=3, Find(4)=1, Add (3,4)=68 Succeeded, w=130\",\"Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=130\",\"Find(1)=1, Find(2)=2, Add (1,2)=91 Succeeded, w=221\"],\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,91],[1,4,39],[1,5,23],[3,4,68],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=23,(1,4)=39,(3,4)=68,(4,5)=83,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=39 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=68 Succeeded, w=130\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=130\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=91 Succeeded, w=221\"],\"Answer\":221}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,2,31],[0,4,25],[0,5,96],[1,2,11],[1,3,62],[1,4,23],[2,4,24],[2,5,73],[3,4,57],[3,5,39],[3,6,3],[4,6,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,31],[0,4,25],[0,5,96],[1,2,11],[1,3,62],[1,4,23],[2,4,24],[2,5,73],[3,4,57],[3,5,39],[3,6,3],[4,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,31],[0,4,25],[0,5,96],[1,2,11],[1,3,62],[1,4,23],[2,4,24],[2,5,73],[3,4,57],[3,5,39],[3,6,3],[4,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,31],[0,4,25],[0,5,96],[1,2,11],[1,3,62],[1,4,23],[2,4,24],[2,5,73],[3,4,57],[3,5,39],[3,6,3],[4,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (1,2)=11, w=14\",\"Add (4,6)=11, w=25\",\"Add (1,4)=23, w=48\",\"Add (0,4)=25, w=73\",\"Add (3,5)=39, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,31],[0,4,25],[0,5,96],[1,2,11],[1,3,62],[1,4,23],[2,4,24],[2,5,73],[3,4,57],[3,5,39],[3,6,3],[4,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (1,2)=11 Succeeded, w=14\",\"Add (4,6)=11 Succeeded, w=25\",\"Add (1,4)=23 Succeeded, w=48\",\"Add (2,4)=24 Failed, w=48\",\"Add (0,4)=25 Succeeded, w=73\",\"Add (0,2)=31 Failed, w=73\",\"Add (3,5)=39 Succeeded, w=112\",\"Add (0,1)=43 Failed, w=112\",\"Add (3,4)=57 Failed, w=112\",\"Add (1,3)=62 Failed, w=112\",\"Add (2,5)=73 Failed, w=112\",\"Add (0,5)=96 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,31],[0,4,25],[0,5,96],[1,2,11],[1,3,62],[1,4,23],[2,4,24],[2,5,73],[3,4,57],[3,5,39],[3,6,3],[4,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(1,2)=11,(4,6)=11,(1,4)=23,(2,4)=24,(0,4)=25,(0,2)=31,(3,5)=39,(0,1)=43,(3,4)=57,(1,3)=62,(2,5)=73,(0,5)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=14\",\"Find(4)=4, Find(6)=3, Add (4,6)=11 Succeeded, w=25\",\"Find(1)=1, Find(4)=3, Add (1,4)=23 Succeeded, w=48\",\"Find(2)=1, Find(4)=1, Add (2,4)=24 Failed, w=48\",\"Find(0)=0, Find(4)=1, Add (0,4)=25 Succeeded, w=73\",\"Find(0)=1, Find(2)=1, Add (0,2)=31 Failed, w=73\",\"Find(3)=1, Find(5)=5, Add (3,5)=39 Succeeded, w=112\",\"Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=112\",\"Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=112\",\"Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=112\",\"Find(2)=1, Find(5)=1, Add (2,5)=73 Failed, w=112\",\"Find(0)=1, Find(5)=1, Add (0,5)=96 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,31],[0,4,25],[0,5,96],[1,2,11],[1,3,62],[1,4,23],[2,4,24],[2,5,73],[3,4,57],[3,5,39],[3,6,3],[4,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(1,2)=11,(4,6)=11,(1,4)=23,(2,4)=24,(0,4)=25,(0,2)=31,(3,5)=39,(0,1)=43,(3,4)=57,(1,3)=62,(2,5)=73,(0,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=11 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5, 6: 3}, Find(1)=1, Find(4)=3, Add (1,4)=23 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3}, Find(2)=1, Find(4)=1, Add (2,4)=24 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3}, Find(0)=0, Find(4)=1, Add (0,4)=25 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3}, Find(0)=1, Find(2)=1, Add (0,2)=31 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(3)=1, Find(5)=5, Add (3,5)=39 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(5)=1, Add (2,5)=73 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(5)=1, Add (0,5)=96 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,4,31],[1,2,1],[1,3,54],[1,4,66],[2,4,30]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,4,31],[1,2,1],[1,3,54],[1,4,66],[2,4,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,4,31],[1,2,1],[1,3,54],[1,4,66],[2,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,4,31],[1,2,1],[1,3,54],[1,4,66],[2,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (2,4)=30, w=31\",\"Add (0,4)=31, w=62\",\"Add (1,3)=54, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,4,31],[1,2,1],[1,3,54],[1,4,66],[2,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (2,4)=30 Succeeded, w=31\",\"Add (0,4)=31 Succeeded, w=62\",\"Add (1,3)=54 Succeeded, w=116\",\"Add (1,4)=66 Failed, w=116\",\"Add (0,1)=77 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,4,31],[1,2,1],[1,3,54],[1,4,66],[2,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(2,4)=30,(0,4)=31,(1,3)=54,(1,4)=66,(0,1)=77]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(2)=1, Find(4)=4, Add (2,4)=30 Succeeded, w=31\",\"Find(0)=0, Find(4)=1, Add (0,4)=31 Succeeded, w=62\",\"Find(1)=1, Find(3)=3, Add (1,3)=54 Succeeded, w=116\",\"Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=116\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,4,31],[1,2,1],[1,3,54],[1,4,66],[2,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(2,4)=30,(0,4)=31,(1,3)=54,(1,4)=66,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=30 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=31 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=54 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,33],[0,4,2],[1,2,0],[1,4,20],[2,3,54],[3,4,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,4,2],[1,2,0],[1,4,20],[2,3,54],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,4,2],[1,2,0],[1,4,20],[2,3,54],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,4,2],[1,2,0],[1,4,20],[2,3,54],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,4)=2, w=2\",\"Add (3,4)=15, w=17\",\"Add (1,4)=20, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,4,2],[1,2,0],[1,4,20],[2,3,54],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,4)=15 Succeeded, w=17\",\"Add (1,4)=20 Succeeded, w=37\",\"Add (0,2)=33 Failed, w=37\",\"Add (2,3)=54 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,4,2],[1,2,0],[1,4,20],[2,3,54],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,4)=2,(3,4)=15,(1,4)=20,(0,2)=33,(2,3)=54]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=0, Add (3,4)=15 Succeeded, w=17\",\"Find(1)=1, Find(4)=0, Add (1,4)=20 Succeeded, w=37\",\"Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=37\",\"Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,4,2],[1,2,0],[1,4,20],[2,3,54],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,4)=2,(3,4)=15,(1,4)=20,(0,2)=33,(2,3)=54]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=15 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=20 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[0,2,73],[0,3,30],[1,3,94],[2,3,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,73],[0,3,30],[1,3,94],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,73],[0,3,30],[1,3,94],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,73],[0,3,30],[1,3,94],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=30, w=30\",\"Add (0,1)=42, w=72\",\"Add (0,2)=73, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,73],[0,3,30],[1,3,94],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=30 Succeeded, w=30\",\"Add (0,1)=42 Succeeded, w=72\",\"Add (0,2)=73 Succeeded, w=145\",\"Add (2,3)=89 Failed, w=145\",\"Add (1,3)=94 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,73],[0,3,30],[1,3,94],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=30,(0,1)=42,(0,2)=73,(2,3)=89,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=72\",\"Find(0)=0, Find(2)=2, Add (0,2)=73 Succeeded, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,73],[0,3,30],[1,3,94],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=30,(0,1)=42,(0,2)=73,(2,3)=89,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=73 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,51],[0,2,21],[0,3,57],[0,4,38],[0,5,40],[0,6,58],[1,2,13],[1,3,10],[1,4,62],[1,5,45],[1,6,44],[2,3,39],[2,4,41],[2,5,95],[2,6,60],[3,4,3],[3,5,29],[3,6,2],[4,5,61],[4,6,56],[5,6,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,21],[0,3,57],[0,4,38],[0,5,40],[0,6,58],[1,2,13],[1,3,10],[1,4,62],[1,5,45],[1,6,44],[2,3,39],[2,4,41],[2,5,95],[2,6,60],[3,4,3],[3,5,29],[3,6,2],[4,5,61],[4,6,56],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,21],[0,3,57],[0,4,38],[0,5,40],[0,6,58],[1,2,13],[1,3,10],[1,4,62],[1,5,45],[1,6,44],[2,3,39],[2,4,41],[2,5,95],[2,6,60],[3,4,3],[3,5,29],[3,6,2],[4,5,61],[4,6,56],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,21],[0,3,57],[0,4,38],[0,5,40],[0,6,58],[1,2,13],[1,3,10],[1,4,62],[1,5,45],[1,6,44],[2,3,39],[2,4,41],[2,5,95],[2,6,60],[3,4,3],[3,5,29],[3,6,2],[4,5,61],[4,6,56],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (3,4)=3, w=5\",\"Add (1,3)=10, w=15\",\"Add (1,2)=13, w=28\",\"Add (0,2)=21, w=49\",\"Add (3,5)=29, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,21],[0,3,57],[0,4,38],[0,5,40],[0,6,58],[1,2,13],[1,3,10],[1,4,62],[1,5,45],[1,6,44],[2,3,39],[2,4,41],[2,5,95],[2,6,60],[3,4,3],[3,5,29],[3,6,2],[4,5,61],[4,6,56],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (3,4)=3 Succeeded, w=5\",\"Add (1,3)=10 Succeeded, w=15\",\"Add (1,2)=13 Succeeded, w=28\",\"Add (0,2)=21 Succeeded, w=49\",\"Add (3,5)=29 Succeeded, w=78\",\"Add (0,4)=38 Failed, w=78\",\"Add (2,3)=39 Failed, w=78\",\"Add (0,5)=40 Failed, w=78\",\"Add (2,4)=41 Failed, w=78\",\"Add (1,6)=44 Failed, w=78\",\"Add (1,5)=45 Failed, w=78\",\"Add (0,1)=51 Failed, w=78\",\"Add (4,6)=56 Failed, w=78\",\"Add (0,3)=57 Failed, w=78\",\"Add (0,6)=58 Failed, w=78\",\"Add (2,6)=60 Failed, w=78\",\"Add (4,5)=61 Failed, w=78\",\"Add (1,4)=62 Failed, w=78\",\"Add (5,6)=69 Failed, w=78\",\"Add (2,5)=95 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,21],[0,3,57],[0,4,38],[0,5,40],[0,6,58],[1,2,13],[1,3,10],[1,4,62],[1,5,45],[1,6,44],[2,3,39],[2,4,41],[2,5,95],[2,6,60],[3,4,3],[3,5,29],[3,6,2],[4,5,61],[4,6,56],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(3,4)=3,(1,3)=10,(1,2)=13,(0,2)=21,(3,5)=29,(0,4)=38,(2,3)=39,(0,5)=40,(2,4)=41,(1,6)=44,(1,5)=45,(0,1)=51,(4,6)=56,(0,3)=57,(0,6)=58,(2,6)=60,(4,5)=61,(1,4)=62,(5,6)=69,(2,5)=95]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=15\",\"Find(1)=3, Find(2)=2, Add (1,2)=13 Succeeded, w=28\",\"Find(0)=0, Find(2)=3, Add (0,2)=21 Succeeded, w=49\",\"Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=78\",\"Find(0)=3, Find(4)=3, Add (0,4)=38 Failed, w=78\",\"Find(2)=3, Find(3)=3, Add (2,3)=39 Failed, w=78\",\"Find(0)=3, Find(5)=3, Add (0,5)=40 Failed, w=78\",\"Find(2)=3, Find(4)=3, Add (2,4)=41 Failed, w=78\",\"Find(1)=3, Find(6)=3, Add (1,6)=44 Failed, w=78\",\"Find(1)=3, Find(5)=3, Add (1,5)=45 Failed, w=78\",\"Find(0)=3, Find(1)=3, Add (0,1)=51 Failed, w=78\",\"Find(4)=3, Find(6)=3, Add (4,6)=56 Failed, w=78\",\"Find(0)=3, Find(3)=3, Add (0,3)=57 Failed, w=78\",\"Find(0)=3, Find(6)=3, Add (0,6)=58 Failed, w=78\",\"Find(2)=3, Find(6)=3, Add (2,6)=60 Failed, w=78\",\"Find(4)=3, Find(5)=3, Add (4,5)=61 Failed, w=78\",\"Find(1)=3, Find(4)=3, Add (1,4)=62 Failed, w=78\",\"Find(5)=3, Find(6)=3, Add (5,6)=69 Failed, w=78\",\"Find(2)=3, Find(5)=3, Add (2,5)=95 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,21],[0,3,57],[0,4,38],[0,5,40],[0,6,58],[1,2,13],[1,3,10],[1,4,62],[1,5,45],[1,6,44],[2,3,39],[2,4,41],[2,5,95],[2,6,60],[3,4,3],[3,5,29],[3,6,2],[4,5,61],[4,6,56],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(3,4)=3,(1,3)=10,(1,2)=13,(0,2)=21,(3,5)=29,(0,4)=38,(2,3)=39,(0,5)=40,(2,4)=41,(1,6)=44,(1,5)=45,(0,1)=51,(4,6)=56,(0,3)=57,(0,6)=58,(2,6)=60,(4,5)=61,(1,4)=62,(5,6)=69,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=3, Find(2)=2, Add (1,2)=13 Succeeded, w=28\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(2)=3, Add (0,2)=21 Succeeded, w=49\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=38 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=39 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=40 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=41 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=44 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=45 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=51 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=56 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=57 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=58 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=60 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=61 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=62 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=69 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=95 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,75],[1,2,6],[1,4,62],[2,3,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[1,2,6],[1,4,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[1,2,6],[1,4,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[1,2,6],[1,4,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (1,4)=62, w=68\",\"Add (0,1)=75, w=143\",\"Add (2,3)=81, w=224\"],\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[1,2,6],[1,4,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (1,4)=62 Succeeded, w=68\",\"Add (0,1)=75 Succeeded, w=143\",\"Add (2,3)=81 Succeeded, w=224\"],\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[1,2,6],[1,4,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,4)=62,(0,1)=75,(2,3)=81]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=62 Succeeded, w=68\",\"Find(0)=0, Find(1)=1, Add (0,1)=75 Succeeded, w=143\",\"Find(2)=1, Find(3)=3, Add (2,3)=81 Succeeded, w=224\"],\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[1,2,6],[1,4,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,4)=62,(0,1)=75,(2,3)=81]\",\"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: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=62 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=75 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=81 Succeeded, w=224\"],\"Answer\":224}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,28],[0,2,28],[0,3,66],[2,3,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,28],[0,3,66],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,28],[0,3,66],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,28],[0,3,66],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=28, w=28\",\"Add (0,2)=28, w=56\",\"Add (0,3)=66, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,28],[0,3,66],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=28 Succeeded, w=28\",\"Add (0,2)=28 Succeeded, w=56\",\"Add (0,3)=66 Succeeded, w=122\",\"Add (2,3)=83 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,28],[0,3,66],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=28,(0,2)=28,(0,3)=66,(2,3)=83]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=56\",\"Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=122\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,28],[0,3,66],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=28,(0,2)=28,(0,3)=66,(2,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,2,7],[0,4,78],[1,2,40],[1,5,51],[2,4,11],[2,5,55],[3,4,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,7],[0,4,78],[1,2,40],[1,5,51],[2,4,11],[2,5,55],[3,4,26]]}",
"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],\"edges\":[[0,1,16],[0,2,7],[0,4,78],[1,2,40],[1,5,51],[2,4,11],[2,5,55],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (3,4)\",\"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],\"edges\":[[0,1,16],[0,2,7],[0,4,78],[1,2,40],[1,5,51],[2,4,11],[2,5,55],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (2,4)=11, w=18\",\"Add (0,1)=16, w=34\",\"Add (3,4)=26, w=60\",\"Add (1,5)=51, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,7],[0,4,78],[1,2,40],[1,5,51],[2,4,11],[2,5,55],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (2,4)=11 Succeeded, w=18\",\"Add (0,1)=16 Succeeded, w=34\",\"Add (3,4)=26 Succeeded, w=60\",\"Add (1,2)=40 Failed, w=60\",\"Add (1,5)=51 Succeeded, w=111\",\"Add (2,5)=55 Failed, w=111\",\"Add (0,4)=78 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],\"edges\":[[0,1,16],[0,2,7],[0,4,78],[1,2,40],[1,5,51],[2,4,11],[2,5,55],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,4)=11,(0,1)=16,(3,4)=26,(1,2)=40,(1,5)=51,(2,5)=55,(0,4)=78]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(2)=0, Find(4)=4, Add (2,4)=11 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=34\",\"Find(3)=3, Find(4)=0, Add (3,4)=26 Succeeded, w=60\",\"Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=60\",\"Find(1)=0, Find(5)=5, Add (1,5)=51 Succeeded, w=111\",\"Find(2)=0, Find(5)=0, Add (2,5)=55 Failed, w=111\",\"Find(0)=0, Find(4)=0, Add (0,4)=78 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],\"edges\":[[0,1,16],[0,2,7],[0,4,78],[1,2,40],[1,5,51],[2,4,11],[2,5,55],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,4)=11,(0,1)=16,(3,4)=26,(1,2)=40,(1,5)=51,(2,5)=55,(0,4)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=0, Find(4)=4, Add (2,4)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(3)=3, Find(4)=0, Add (3,4)=26 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=51 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=55 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,85],[0,3,34],[1,2,82],[1,4,87],[3,4,55]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,85],[0,3,34],[1,2,82],[1,4,87],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,85],[0,3,34],[1,2,82],[1,4,87],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,85],[0,3,34],[1,2,82],[1,4,87],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=34, w=34\",\"Add (3,4)=55, w=89\",\"Add (1,2)=82, w=171\",\"Add (0,2)=85, w=256\"],\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,85],[0,3,34],[1,2,82],[1,4,87],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=34 Succeeded, w=34\",\"Add (3,4)=55 Succeeded, w=89\",\"Add (1,2)=82 Succeeded, w=171\",\"Add (0,2)=85 Succeeded, w=256\",\"Add (1,4)=87 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,85],[0,3,34],[1,2,82],[1,4,87],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=34,(3,4)=55,(1,2)=82,(0,2)=85,(1,4)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=34\",\"Find(3)=0, Find(4)=4, Add (3,4)=55 Succeeded, w=89\",\"Find(1)=1, Find(2)=2, Add (1,2)=82 Succeeded, w=171\",\"Find(0)=0, Find(2)=1, Add (0,2)=85 Succeeded, w=256\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,85],[0,3,34],[1,2,82],[1,4,87],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=34,(3,4)=55,(1,2)=82,(0,2)=85,(1,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=55 Succeeded, w=89\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=82 Succeeded, w=171\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=85 Succeeded, w=256\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,86],[0,4,66],[1,2,77],[1,3,24],[1,4,79],[2,4,2],[3,4,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,86],[0,4,66],[1,2,77],[1,3,24],[1,4,79],[2,4,2],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,86],[0,4,66],[1,2,77],[1,3,24],[1,4,79],[2,4,2],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,86],[0,4,66],[1,2,77],[1,3,24],[1,4,79],[2,4,2],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (1,3)=24, w=26\",\"Add (3,4)=45, w=71\",\"Add (0,1)=66, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,86],[0,4,66],[1,2,77],[1,3,24],[1,4,79],[2,4,2],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (1,3)=24 Succeeded, w=26\",\"Add (3,4)=45 Succeeded, w=71\",\"Add (0,1)=66 Succeeded, w=137\",\"Add (0,4)=66 Failed, w=137\",\"Add (1,2)=77 Failed, w=137\",\"Add (1,4)=79 Failed, w=137\",\"Add (0,2)=86 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,86],[0,4,66],[1,2,77],[1,3,24],[1,4,79],[2,4,2],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,3)=24,(3,4)=45,(0,1)=66,(0,4)=66,(1,2)=77,(1,4)=79,(0,2)=86]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=26\",\"Find(3)=1, Find(4)=2, Add (3,4)=45 Succeeded, w=71\",\"Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=137\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=137\",\"Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=137\",\"Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=137\",\"Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,86],[0,4,66],[1,2,77],[1,3,24],[1,4,79],[2,4,2],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,3)=24,(3,4)=45,(0,1)=66,(0,4)=66,(1,2)=77,(1,4)=79,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2}, Find(3)=1, Find(4)=2, Add (3,4)=45 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,19],[0,3,5],[0,4,50],[0,5,21],[0,6,63],[0,7,11],[1,3,84],[2,3,41],[2,4,38],[2,5,5],[2,6,71],[3,4,62],[3,5,94],[3,7,74],[4,5,85],[4,6,68],[4,7,94],[5,7,79],[6,7,47]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,3,5],[0,4,50],[0,5,21],[0,6,63],[0,7,11],[1,3,84],[2,3,41],[2,4,38],[2,5,5],[2,6,71],[3,4,62],[3,5,94],[3,7,74],[4,5,85],[4,6,68],[4,7,94],[5,7,79],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,3,5],[0,4,50],[0,5,21],[0,6,63],[0,7,11],[1,3,84],[2,3,41],[2,4,38],[2,5,5],[2,6,71],[3,4,62],[3,5,94],[3,7,74],[4,5,85],[4,6,68],[4,7,94],[5,7,79],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,5)\",\"Add (0,7)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (6,7)\",\"Add (1,3)\"],\"Answer\":209}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,3,5],[0,4,50],[0,5,21],[0,6,63],[0,7,11],[1,3,84],[2,3,41],[2,4,38],[2,5,5],[2,6,71],[3,4,62],[3,5,94],[3,7,74],[4,5,85],[4,6,68],[4,7,94],[5,7,79],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (2,5)=5, w=10\",\"Add (0,7)=11, w=21\",\"Add (0,2)=19, w=40\",\"Add (2,4)=38, w=78\",\"Add (6,7)=47, w=125\",\"Add (1,3)=84, w=209\"],\"Answer\":209}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,3,5],[0,4,50],[0,5,21],[0,6,63],[0,7,11],[1,3,84],[2,3,41],[2,4,38],[2,5,5],[2,6,71],[3,4,62],[3,5,94],[3,7,74],[4,5,85],[4,6,68],[4,7,94],[5,7,79],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (2,5)=5 Succeeded, w=10\",\"Add (0,7)=11 Succeeded, w=21\",\"Add (0,2)=19 Succeeded, w=40\",\"Add (0,5)=21 Failed, w=40\",\"Add (2,4)=38 Succeeded, w=78\",\"Add (2,3)=41 Failed, w=78\",\"Add (6,7)=47 Succeeded, w=125\",\"Add (0,4)=50 Failed, w=125\",\"Add (3,4)=62 Failed, w=125\",\"Add (0,6)=63 Failed, w=125\",\"Add (4,6)=68 Failed, w=125\",\"Add (2,6)=71 Failed, w=125\",\"Add (3,7)=74 Failed, w=125\",\"Add (5,7)=79 Failed, w=125\",\"Add (1,3)=84 Succeeded, w=209\",\"Add (4,5)=85 Failed, w=209\",\"Add (3,5)=94 Failed, w=209\",\"Add (4,7)=94 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,3,5],[0,4,50],[0,5,21],[0,6,63],[0,7,11],[1,3,84],[2,3,41],[2,4,38],[2,5,5],[2,6,71],[3,4,62],[3,5,94],[3,7,74],[4,5,85],[4,6,68],[4,7,94],[5,7,79],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,5)=5,(0,7)=11,(0,2)=19,(0,5)=21,(2,4)=38,(2,3)=41,(6,7)=47,(0,4)=50,(3,4)=62,(0,6)=63,(4,6)=68,(2,6)=71,(3,7)=74,(5,7)=79,(1,3)=84,(4,5)=85,(3,5)=94,(4,7)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=10\",\"Find(0)=0, Find(7)=7, Add (0,7)=11 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=40\",\"Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=40\",\"Find(2)=0, Find(4)=4, Add (2,4)=38 Succeeded, w=78\",\"Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=78\",\"Find(6)=6, Find(7)=0, Add (6,7)=47 Succeeded, w=125\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=125\",\"Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=125\",\"Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=125\",\"Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=125\",\"Find(3)=0, Find(7)=0, Add (3,7)=74 Failed, w=125\",\"Find(5)=0, Find(7)=0, Add (5,7)=79 Failed, w=125\",\"Find(1)=1, Find(3)=0, Add (1,3)=84 Succeeded, w=209\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=209\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=209\",\"Find(4)=0, Find(7)=0, Add (4,7)=94 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,3,5],[0,4,50],[0,5,21],[0,6,63],[0,7,11],[1,3,84],[2,3,41],[2,4,38],[2,5,5],[2,6,71],[3,4,62],[3,5,94],[3,7,74],[4,5,85],[4,6,68],[4,7,94],[5,7,79],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,5)=5,(0,7)=11,(0,2)=19,(0,5)=21,(2,4)=38,(2,3)=41,(6,7)=47,(0,4)=50,(3,4)=62,(0,6)=63,(4,6)=68,(2,6)=71,(3,7)=74,(5,7)=79,(1,3)=84,(4,5)=85,(3,5)=94,(4,7)=94]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 2, 6: 6, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=38 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=78\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=47 Succeeded, w=125\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=125\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=125\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=125\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=125\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=125\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=74 Failed, w=125\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=79 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=84 Succeeded, w=209\",\"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)=85 Failed, w=209\",\"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)=94 Failed, w=209\",\"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)=94 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,26],[1,3,64],[2,3,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,26],[1,3,64],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,26],[1,3,64],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,26],[1,3,64],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,3)=26, w=29\",\"Add (1,3)=64, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,26],[1,3,64],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,3)=26 Succeeded, w=29\",\"Add (1,3)=64 Succeeded, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,26],[1,3,64],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,3)=26,(1,3)=64]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=29\",\"Find(1)=1, Find(3)=2, Add (1,3)=64 Succeeded, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,26],[1,3,64],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,3)=26,(1,3)=64]\",\"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: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=29\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=64 Succeeded, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,91],[1,2,21],[1,3,36],[2,3,1],[2,4,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,91],[1,2,21],[1,3,36],[2,3,1],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,91],[1,2,21],[1,3,36],[2,3,1],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,91],[1,2,21],[1,3,36],[2,3,1],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (1,2)=21, w=22\",\"Add (2,4)=31, w=53\",\"Add (0,3)=91, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,91],[1,2,21],[1,3,36],[2,3,1],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (1,2)=21 Succeeded, w=22\",\"Add (2,4)=31 Succeeded, w=53\",\"Add (1,3)=36 Failed, w=53\",\"Add (0,3)=91 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,91],[1,2,21],[1,3,36],[2,3,1],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,2)=21,(2,4)=31,(1,3)=36,(0,3)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=22\",\"Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=53\",\"Find(1)=2, Find(3)=2, Add (1,3)=36 Failed, w=53\",\"Find(0)=0, Find(3)=2, Add (0,3)=91 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,91],[1,2,21],[1,3,36],[2,3,1],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,2)=21,(2,4)=31,(1,3)=36,(0,3)=91]\",\"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: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=53\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=36 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=91 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,48],[0,4,68],[0,5,68],[1,2,84],[1,3,63],[1,4,35],[2,3,39],[2,4,33],[2,5,25],[3,4,56],[4,5,70]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,48],[0,4,68],[0,5,68],[1,2,84],[1,3,63],[1,4,35],[2,3,39],[2,4,33],[2,5,25],[3,4,56],[4,5,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,48],[0,4,68],[0,5,68],[1,2,84],[1,3,63],[1,4,35],[2,3,39],[2,4,33],[2,5,25],[3,4,56],[4,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,48],[0,4,68],[0,5,68],[1,2,84],[1,3,63],[1,4,35],[2,3,39],[2,4,33],[2,5,25],[3,4,56],[4,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=25, w=25\",\"Add (2,4)=33, w=58\",\"Add (1,4)=35, w=93\",\"Add (0,1)=38, w=131\",\"Add (2,3)=39, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,48],[0,4,68],[0,5,68],[1,2,84],[1,3,63],[1,4,35],[2,3,39],[2,4,33],[2,5,25],[3,4,56],[4,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=25 Succeeded, w=25\",\"Add (2,4)=33 Succeeded, w=58\",\"Add (1,4)=35 Succeeded, w=93\",\"Add (0,1)=38 Succeeded, w=131\",\"Add (2,3)=39 Succeeded, w=170\",\"Add (0,2)=48 Failed, w=170\",\"Add (3,4)=56 Failed, w=170\",\"Add (1,3)=63 Failed, w=170\",\"Add (0,4)=68 Failed, w=170\",\"Add (0,5)=68 Failed, w=170\",\"Add (4,5)=70 Failed, w=170\",\"Add (1,2)=84 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,48],[0,4,68],[0,5,68],[1,2,84],[1,3,63],[1,4,35],[2,3,39],[2,4,33],[2,5,25],[3,4,56],[4,5,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=25,(2,4)=33,(1,4)=35,(0,1)=38,(2,3)=39,(0,2)=48,(3,4)=56,(1,3)=63,(0,4)=68,(0,5)=68,(4,5)=70,(1,2)=84]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=25 Succeeded, w=25\",\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=58\",\"Find(1)=1, Find(4)=2, Add (1,4)=35 Succeeded, w=93\",\"Find(0)=0, Find(1)=2, Add (0,1)=38 Succeeded, w=131\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=170\",\"Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=170\",\"Find(3)=2, Find(4)=2, Add (3,4)=56 Failed, w=170\",\"Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=170\",\"Find(0)=2, Find(4)=2, Add (0,4)=68 Failed, w=170\",\"Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=170\",\"Find(4)=2, Find(5)=2, Add (4,5)=70 Failed, w=170\",\"Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,48],[0,4,68],[0,5,68],[1,2,84],[1,3,63],[1,4,35],[2,3,39],[2,4,33],[2,5,25],[3,4,56],[4,5,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=25,(2,4)=33,(1,4)=35,(0,1)=38,(2,3)=39,(0,2)=48,(3,4)=56,(1,3)=63,(0,4)=68,(0,5)=68,(4,5)=70,(1,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=58\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=35 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(1)=2, Add (0,1)=38 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=56 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=68 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=70 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,95],[0,3,48],[0,4,32],[0,6,81],[0,7,82],[1,2,83],[1,4,42],[1,5,83],[2,6,51],[2,7,29],[3,5,83],[3,6,43],[3,7,0],[4,5,6],[4,6,61],[4,7,14],[5,6,47],[5,7,84],[6,7,74]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,48],[0,4,32],[0,6,81],[0,7,82],[1,2,83],[1,4,42],[1,5,83],[2,6,51],[2,7,29],[3,5,83],[3,6,43],[3,7,0],[4,5,6],[4,6,61],[4,7,14],[5,6,47],[5,7,84],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,48],[0,4,32],[0,6,81],[0,7,82],[1,2,83],[1,4,42],[1,5,83],[2,6,51],[2,7,29],[3,5,83],[3,6,43],[3,7,0],[4,5,6],[4,6,61],[4,7,14],[5,6,47],[5,7,84],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (4,5)\",\"Add (4,7)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (3,6)\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,48],[0,4,32],[0,6,81],[0,7,82],[1,2,83],[1,4,42],[1,5,83],[2,6,51],[2,7,29],[3,5,83],[3,6,43],[3,7,0],[4,5,6],[4,6,61],[4,7,14],[5,6,47],[5,7,84],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0, w=0\",\"Add (4,5)=6, w=6\",\"Add (4,7)=14, w=20\",\"Add (2,7)=29, w=49\",\"Add (0,4)=32, w=81\",\"Add (1,4)=42, w=123\",\"Add (3,6)=43, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,48],[0,4,32],[0,6,81],[0,7,82],[1,2,83],[1,4,42],[1,5,83],[2,6,51],[2,7,29],[3,5,83],[3,6,43],[3,7,0],[4,5,6],[4,6,61],[4,7,14],[5,6,47],[5,7,84],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0 Succeeded, w=0\",\"Add (4,5)=6 Succeeded, w=6\",\"Add (4,7)=14 Succeeded, w=20\",\"Add (2,7)=29 Succeeded, w=49\",\"Add (0,4)=32 Succeeded, w=81\",\"Add (1,4)=42 Succeeded, w=123\",\"Add (3,6)=43 Succeeded, w=166\",\"Add (5,6)=47 Failed, w=166\",\"Add (0,3)=48 Failed, w=166\",\"Add (2,6)=51 Failed, w=166\",\"Add (4,6)=61 Failed, w=166\",\"Add (6,7)=74 Failed, w=166\",\"Add (0,6)=81 Failed, w=166\",\"Add (0,7)=82 Failed, w=166\",\"Add (1,2)=83 Failed, w=166\",\"Add (1,5)=83 Failed, w=166\",\"Add (3,5)=83 Failed, w=166\",\"Add (5,7)=84 Failed, w=166\",\"Add (0,2)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,48],[0,4,32],[0,6,81],[0,7,82],[1,2,83],[1,4,42],[1,5,83],[2,6,51],[2,7,29],[3,5,83],[3,6,43],[3,7,0],[4,5,6],[4,6,61],[4,7,14],[5,6,47],[5,7,84],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(4,5)=6,(4,7)=14,(2,7)=29,(0,4)=32,(1,4)=42,(3,6)=43,(5,6)=47,(0,3)=48,(2,6)=51,(4,6)=61,(6,7)=74,(0,6)=81,(0,7)=82,(1,2)=83,(1,5)=83,(3,5)=83,(5,7)=84,(0,2)=95]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=6\",\"Find(4)=4, Find(7)=3, Add (4,7)=14 Succeeded, w=20\",\"Find(2)=2, Find(7)=4, Add (2,7)=29 Succeeded, w=49\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=81\",\"Find(1)=1, Find(4)=4, Add (1,4)=42 Succeeded, w=123\",\"Find(3)=4, Find(6)=6, Add (3,6)=43 Succeeded, w=166\",\"Find(5)=4, Find(6)=4, Add (5,6)=47 Failed, w=166\",\"Find(0)=4, Find(3)=4, Add (0,3)=48 Failed, w=166\",\"Find(2)=4, Find(6)=4, Add (2,6)=51 Failed, w=166\",\"Find(4)=4, Find(6)=4, Add (4,6)=61 Failed, w=166\",\"Find(6)=4, Find(7)=4, Add (6,7)=74 Failed, w=166\",\"Find(0)=4, Find(6)=4, Add (0,6)=81 Failed, w=166\",\"Find(0)=4, Find(7)=4, Add (0,7)=82 Failed, w=166\",\"Find(1)=4, Find(2)=4, Add (1,2)=83 Failed, w=166\",\"Find(1)=4, Find(5)=4, Add (1,5)=83 Failed, w=166\",\"Find(3)=4, Find(5)=4, Add (3,5)=83 Failed, w=166\",\"Find(5)=4, Find(7)=4, Add (5,7)=84 Failed, w=166\",\"Find(0)=4, Find(2)=4, Add (0,2)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,48],[0,4,32],[0,6,81],[0,7,82],[1,2,83],[1,4,42],[1,5,83],[2,6,51],[2,7,29],[3,5,83],[3,6,43],[3,7,0],[4,5,6],[4,6,61],[4,7,14],[5,6,47],[5,7,84],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(4,5)=6,(4,7)=14,(2,7)=29,(0,4)=32,(1,4)=42,(3,6)=43,(5,6)=47,(0,3)=48,(2,6)=51,(4,6)=61,(6,7)=74,(0,6)=81,(0,7)=82,(1,2)=83,(1,5)=83,(3,5)=83,(5,7)=84,(0,2)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=14 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=29 Succeeded, w=49\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=81\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(1)=1, Find(4)=4, Add (1,4)=42 Succeeded, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=6, Add (3,6)=43 Succeeded, w=166\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=47 Failed, w=166\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=48 Failed, w=166\",\"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)=51 Failed, w=166\",\"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)=61 Failed, w=166\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=74 Failed, w=166\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=81 Failed, w=166\",\"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)=82 Failed, w=166\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=83 Failed, w=166\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=83 Failed, w=166\",\"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)=83 Failed, w=166\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=84 Failed, w=166\",\"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)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,93],[1,2,13],[1,3,61],[2,3,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,13],[1,3,61],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,13],[1,3,61],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,13],[1,3,61],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (1,3)=61, w=74\",\"Add (0,2)=93, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,13],[1,3,61],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (1,3)=61 Succeeded, w=74\",\"Add (2,3)=75 Failed, w=74\",\"Add (0,2)=93 Succeeded, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,13],[1,3,61],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(1,3)=61,(2,3)=75,(0,2)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=61 Succeeded, w=74\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=74\",\"Find(0)=0, Find(2)=1, Add (0,2)=93 Succeeded, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,13],[1,3,61],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(1,3)=61,(2,3)=75,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=61 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=93 Succeeded, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,1],[0,3,71],[0,4,47],[1,2,3],[1,3,84],[1,4,69],[2,4,80],[3,4,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,71],[0,4,47],[1,2,3],[1,3,84],[1,4,69],[2,4,80],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,71],[0,4,47],[1,2,3],[1,3,84],[1,4,69],[2,4,80],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,71],[0,4,47],[1,2,3],[1,3,84],[1,4,69],[2,4,80],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (1,2)=3, w=4\",\"Add (0,4)=47, w=51\",\"Add (0,3)=71, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,71],[0,4,47],[1,2,3],[1,3,84],[1,4,69],[2,4,80],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (1,2)=3 Succeeded, w=4\",\"Add (0,4)=47 Succeeded, w=51\",\"Add (1,4)=69 Failed, w=51\",\"Add (0,3)=71 Succeeded, w=122\",\"Add (2,4)=80 Failed, w=122\",\"Add (1,3)=84 Failed, w=122\",\"Add (3,4)=85 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,71],[0,4,47],[1,2,3],[1,3,84],[1,4,69],[2,4,80],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,2)=3,(0,4)=47,(1,4)=69,(0,3)=71,(2,4)=80,(1,3)=84,(3,4)=85]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(1)=0, Find(2)=2, Add (1,2)=3 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=47 Succeeded, w=51\",\"Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=122\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=122\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=122\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,71],[0,4,47],[1,2,3],[1,3,84],[1,4,69],[2,4,80],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,2)=3,(0,4)=47,(1,4)=69,(0,3)=71,(2,4)=80,(1,3)=84,(3,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=47 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,64],[0,2,63],[0,4,63],[0,5,73],[1,2,23],[1,3,81],[1,4,66],[1,5,40],[2,3,56],[2,4,10],[2,5,47],[3,5,54]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,63],[0,4,63],[0,5,73],[1,2,23],[1,3,81],[1,4,66],[1,5,40],[2,3,56],[2,4,10],[2,5,47],[3,5,54]]}",
"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],\"edges\":[[0,1,64],[0,2,63],[0,4,63],[0,5,73],[1,2,23],[1,3,81],[1,4,66],[1,5,40],[2,3,56],[2,4,10],[2,5,47],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (0,2)\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,63],[0,4,63],[0,5,73],[1,2,23],[1,3,81],[1,4,66],[1,5,40],[2,3,56],[2,4,10],[2,5,47],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (1,2)=23, w=33\",\"Add (1,5)=40, w=73\",\"Add (3,5)=54, w=127\",\"Add (0,2)=63, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,63],[0,4,63],[0,5,73],[1,2,23],[1,3,81],[1,4,66],[1,5,40],[2,3,56],[2,4,10],[2,5,47],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (1,2)=23 Succeeded, w=33\",\"Add (1,5)=40 Succeeded, w=73\",\"Add (2,5)=47 Failed, w=73\",\"Add (3,5)=54 Succeeded, w=127\",\"Add (2,3)=56 Failed, w=127\",\"Add (0,2)=63 Succeeded, w=190\",\"Add (0,4)=63 Failed, w=190\",\"Add (0,1)=64 Failed, w=190\",\"Add (1,4)=66 Failed, w=190\",\"Add (0,5)=73 Failed, w=190\",\"Add (1,3)=81 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],\"edges\":[[0,1,64],[0,2,63],[0,4,63],[0,5,73],[1,2,23],[1,3,81],[1,4,66],[1,5,40],[2,3,56],[2,4,10],[2,5,47],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(1,2)=23,(1,5)=40,(2,5)=47,(3,5)=54,(2,3)=56,(0,2)=63,(0,4)=63,(0,1)=64,(1,4)=66,(0,5)=73,(1,3)=81]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=33\",\"Find(1)=2, Find(5)=5, Add (1,5)=40 Succeeded, w=73\",\"Find(2)=2, Find(5)=2, Add (2,5)=47 Failed, w=73\",\"Find(3)=3, Find(5)=2, Add (3,5)=54 Succeeded, w=127\",\"Find(2)=2, Find(3)=2, Add (2,3)=56 Failed, w=127\",\"Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=190\",\"Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=190\",\"Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=190\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=190\",\"Find(0)=2, Find(5)=2, Add (0,5)=73 Failed, w=190\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 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],\"edges\":[[0,1,64],[0,2,63],[0,4,63],[0,5,73],[1,2,23],[1,3,81],[1,4,66],[1,5,40],[2,3,56],[2,4,10],[2,5,47],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(1,2)=23,(1,5)=40,(2,5)=47,(3,5)=54,(2,3)=56,(0,2)=63,(0,4)=63,(0,1)=64,(1,4)=66,(0,5)=73,(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=40 Succeeded, w=73\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=47 Failed, w=73\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=54 Succeeded, w=127\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=56 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=63 Succeeded, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=73 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,78],[0,2,49],[0,3,48],[0,5,76],[0,6,30],[1,2,61],[1,3,55],[1,4,92],[1,5,53],[1,6,3],[2,3,95],[2,4,32],[2,5,94],[3,4,58],[3,5,46],[3,6,71],[4,5,4],[4,6,46],[5,6,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,48],[0,5,76],[0,6,30],[1,2,61],[1,3,55],[1,4,92],[1,5,53],[1,6,3],[2,3,95],[2,4,32],[2,5,94],[3,4,58],[3,5,46],[3,6,71],[4,5,4],[4,6,46],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,48],[0,5,76],[0,6,30],[1,2,61],[1,3,55],[1,4,92],[1,5,53],[1,6,3],[2,3,95],[2,4,32],[2,5,94],[3,4,58],[3,5,46],[3,6,71],[4,5,4],[4,6,46],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (4,6)\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,48],[0,5,76],[0,6,30],[1,2,61],[1,3,55],[1,4,92],[1,5,53],[1,6,3],[2,3,95],[2,4,32],[2,5,94],[3,4,58],[3,5,46],[3,6,71],[4,5,4],[4,6,46],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=3, w=3\",\"Add (4,5)=4, w=7\",\"Add (0,6)=30, w=37\",\"Add (2,4)=32, w=69\",\"Add (3,5)=46, w=115\",\"Add (4,6)=46, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,48],[0,5,76],[0,6,30],[1,2,61],[1,3,55],[1,4,92],[1,5,53],[1,6,3],[2,3,95],[2,4,32],[2,5,94],[3,4,58],[3,5,46],[3,6,71],[4,5,4],[4,6,46],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=3 Succeeded, w=3\",\"Add (4,5)=4 Succeeded, w=7\",\"Add (0,6)=30 Succeeded, w=37\",\"Add (2,4)=32 Succeeded, w=69\",\"Add (3,5)=46 Succeeded, w=115\",\"Add (4,6)=46 Succeeded, w=161\",\"Add (0,3)=48 Failed, w=161\",\"Add (0,2)=49 Failed, w=161\",\"Add (1,5)=53 Failed, w=161\",\"Add (1,3)=55 Failed, w=161\",\"Add (5,6)=56 Failed, w=161\",\"Add (3,4)=58 Failed, w=161\",\"Add (1,2)=61 Failed, w=161\",\"Add (3,6)=71 Failed, w=161\",\"Add (0,5)=76 Failed, w=161\",\"Add (0,1)=78 Failed, w=161\",\"Add (1,4)=92 Failed, w=161\",\"Add (2,5)=94 Failed, w=161\",\"Add (2,3)=95 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,48],[0,5,76],[0,6,30],[1,2,61],[1,3,55],[1,4,92],[1,5,53],[1,6,3],[2,3,95],[2,4,32],[2,5,94],[3,4,58],[3,5,46],[3,6,71],[4,5,4],[4,6,46],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=3,(4,5)=4,(0,6)=30,(2,4)=32,(3,5)=46,(4,6)=46,(0,3)=48,(0,2)=49,(1,5)=53,(1,3)=55,(5,6)=56,(3,4)=58,(1,2)=61,(3,6)=71,(0,5)=76,(0,1)=78,(1,4)=92,(2,5)=94,(2,3)=95]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Find(0)=0, Find(6)=1, Add (0,6)=30 Succeeded, w=37\",\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=69\",\"Find(3)=3, Find(5)=4, Add (3,5)=46 Succeeded, w=115\",\"Find(4)=4, Find(6)=1, Add (4,6)=46 Succeeded, w=161\",\"Find(0)=4, Find(3)=4, Add (0,3)=48 Failed, w=161\",\"Find(0)=4, Find(2)=4, Add (0,2)=49 Failed, w=161\",\"Find(1)=4, Find(5)=4, Add (1,5)=53 Failed, w=161\",\"Find(1)=4, Find(3)=4, Add (1,3)=55 Failed, w=161\",\"Find(5)=4, Find(6)=4, Add (5,6)=56 Failed, w=161\",\"Find(3)=4, Find(4)=4, Add (3,4)=58 Failed, w=161\",\"Find(1)=4, Find(2)=4, Add (1,2)=61 Failed, w=161\",\"Find(3)=4, Find(6)=4, Add (3,6)=71 Failed, w=161\",\"Find(0)=4, Find(5)=4, Add (0,5)=76 Failed, w=161\",\"Find(0)=4, Find(1)=4, Add (0,1)=78 Failed, w=161\",\"Find(1)=4, Find(4)=4, Add (1,4)=92 Failed, w=161\",\"Find(2)=4, Find(5)=4, Add (2,5)=94 Failed, w=161\",\"Find(2)=4, Find(3)=4, Add (2,3)=95 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,48],[0,5,76],[0,6,30],[1,2,61],[1,3,55],[1,4,92],[1,5,53],[1,6,3],[2,3,95],[2,4,32],[2,5,94],[3,4,58],[3,5,46],[3,6,71],[4,5,4],[4,6,46],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=3,(4,5)=4,(0,6)=30,(2,4)=32,(3,5)=46,(4,6)=46,(0,3)=48,(0,2)=49,(1,5)=53,(1,3)=55,(5,6)=56,(3,4)=58,(1,2)=61,(3,6)=71,(0,5)=76,(0,1)=78,(1,4)=92,(2,5)=94,(2,3)=95]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=30 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 1}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1}, Find(3)=3, Find(5)=4, Add (3,5)=46 Succeeded, w=115\",\"Parent: {0: 1, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=46 Succeeded, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1}, Find(0)=4, Find(3)=4, Add (0,3)=48 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1}, Find(0)=4, Find(2)=4, Add (0,2)=49 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1}, Find(1)=4, Find(5)=4, Add (1,5)=53 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1}, Find(1)=4, Find(3)=4, Add (1,3)=55 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=56 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=58 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=61 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=71 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=76 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=78 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=92 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=94 Failed, w=161\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=95 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,20],[0,4,38],[0,5,79],[1,2,22],[1,3,15],[1,4,85],[2,3,68],[2,4,41],[2,5,5],[3,4,63],[3,5,92],[4,5,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,4,38],[0,5,79],[1,2,22],[1,3,15],[1,4,85],[2,3,68],[2,4,41],[2,5,5],[3,4,63],[3,5,92],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,4,38],[0,5,79],[1,2,22],[1,3,15],[1,4,85],[2,3,68],[2,4,41],[2,5,5],[3,4,63],[3,5,92],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (4,5)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,4,38],[0,5,79],[1,2,22],[1,3,15],[1,4,85],[2,3,68],[2,4,41],[2,5,5],[3,4,63],[3,5,92],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5, w=5\",\"Add (1,3)=15, w=20\",\"Add (0,1)=20, w=40\",\"Add (1,2)=22, w=62\",\"Add (4,5)=32, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,4,38],[0,5,79],[1,2,22],[1,3,15],[1,4,85],[2,3,68],[2,4,41],[2,5,5],[3,4,63],[3,5,92],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5 Succeeded, w=5\",\"Add (1,3)=15 Succeeded, w=20\",\"Add (0,1)=20 Succeeded, w=40\",\"Add (1,2)=22 Succeeded, w=62\",\"Add (4,5)=32 Succeeded, w=94\",\"Add (0,4)=38 Failed, w=94\",\"Add (2,4)=41 Failed, w=94\",\"Add (3,4)=63 Failed, w=94\",\"Add (2,3)=68 Failed, w=94\",\"Add (0,5)=79 Failed, w=94\",\"Add (1,4)=85 Failed, w=94\",\"Add (3,5)=92 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,4,38],[0,5,79],[1,2,22],[1,3,15],[1,4,85],[2,3,68],[2,4,41],[2,5,5],[3,4,63],[3,5,92],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(1,3)=15,(0,1)=20,(1,2)=22,(4,5)=32,(0,4)=38,(2,4)=41,(3,4)=63,(2,3)=68,(0,5)=79,(1,4)=85,(3,5)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=20\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=40\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=62\",\"Find(4)=4, Find(5)=1, Add (4,5)=32 Succeeded, w=94\",\"Find(0)=1, Find(4)=1, Add (0,4)=38 Failed, w=94\",\"Find(2)=1, Find(4)=1, Add (2,4)=41 Failed, w=94\",\"Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=94\",\"Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=94\",\"Find(0)=1, Find(5)=1, Add (0,5)=79 Failed, w=94\",\"Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=94\",\"Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,4,38],[0,5,79],[1,2,22],[1,3,15],[1,4,85],[2,3,68],[2,4,41],[2,5,5],[3,4,63],[3,5,92],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(1,3)=15,(0,1)=20,(1,2)=22,(4,5)=32,(0,4)=38,(2,4)=41,(3,4)=63,(2,3)=68,(0,5)=79,(1,4)=85,(3,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=32 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=38 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=41 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=79 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=94\",\"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=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,83],[0,2,70],[0,3,10],[0,4,96],[0,5,48],[0,6,27],[1,2,8],[1,3,88],[1,4,68],[1,5,0],[1,6,78],[2,3,97],[2,4,61],[2,5,31],[2,6,94],[3,5,38],[3,6,6],[4,5,33],[4,6,92],[5,6,90]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,70],[0,3,10],[0,4,96],[0,5,48],[0,6,27],[1,2,8],[1,3,88],[1,4,68],[1,5,0],[1,6,78],[2,3,97],[2,4,61],[2,5,31],[2,6,94],[3,5,38],[3,6,6],[4,5,33],[4,6,92],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,70],[0,3,10],[0,4,96],[0,5,48],[0,6,27],[1,2,8],[1,3,88],[1,4,68],[1,5,0],[1,6,78],[2,3,97],[2,4,61],[2,5,31],[2,6,94],[3,5,38],[3,6,6],[4,5,33],[4,6,92],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":95}",
"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],[0,2,70],[0,3,10],[0,4,96],[0,5,48],[0,6,27],[1,2,8],[1,3,88],[1,4,68],[1,5,0],[1,6,78],[2,3,97],[2,4,61],[2,5,31],[2,6,94],[3,5,38],[3,6,6],[4,5,33],[4,6,92],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (3,6)=6, w=6\",\"Add (1,2)=8, w=14\",\"Add (0,3)=10, w=24\",\"Add (4,5)=33, w=57\",\"Add (3,5)=38, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,70],[0,3,10],[0,4,96],[0,5,48],[0,6,27],[1,2,8],[1,3,88],[1,4,68],[1,5,0],[1,6,78],[2,3,97],[2,4,61],[2,5,31],[2,6,94],[3,5,38],[3,6,6],[4,5,33],[4,6,92],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (3,6)=6 Succeeded, w=6\",\"Add (1,2)=8 Succeeded, w=14\",\"Add (0,3)=10 Succeeded, w=24\",\"Add (0,6)=27 Failed, w=24\",\"Add (2,5)=31 Failed, w=24\",\"Add (4,5)=33 Succeeded, w=57\",\"Add (3,5)=38 Succeeded, w=95\",\"Add (0,5)=48 Failed, w=95\",\"Add (2,4)=61 Failed, w=95\",\"Add (1,4)=68 Failed, w=95\",\"Add (0,2)=70 Failed, w=95\",\"Add (1,6)=78 Failed, w=95\",\"Add (0,1)=83 Failed, w=95\",\"Add (1,3)=88 Failed, w=95\",\"Add (5,6)=90 Failed, w=95\",\"Add (4,6)=92 Failed, w=95\",\"Add (2,6)=94 Failed, w=95\",\"Add (0,4)=96 Failed, w=95\",\"Add (2,3)=97 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,70],[0,3,10],[0,4,96],[0,5,48],[0,6,27],[1,2,8],[1,3,88],[1,4,68],[1,5,0],[1,6,78],[2,3,97],[2,4,61],[2,5,31],[2,6,94],[3,5,38],[3,6,6],[4,5,33],[4,6,92],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(3,6)=6,(1,2)=8,(0,3)=10,(0,6)=27,(2,5)=31,(4,5)=33,(3,5)=38,(0,5)=48,(2,4)=61,(1,4)=68,(0,2)=70,(1,6)=78,(0,1)=83,(1,3)=88,(5,6)=90,(4,6)=92,(2,6)=94,(0,4)=96,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=24\",\"Find(0)=3, Find(6)=3, Add (0,6)=27 Failed, w=24\",\"Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=24\",\"Find(4)=4, Find(5)=1, Add (4,5)=33 Succeeded, w=57\",\"Find(3)=3, Find(5)=1, Add (3,5)=38 Succeeded, w=95\",\"Find(0)=3, Find(5)=3, Add (0,5)=48 Failed, w=95\",\"Find(2)=3, Find(4)=3, Add (2,4)=61 Failed, w=95\",\"Find(1)=3, Find(4)=3, Add (1,4)=68 Failed, w=95\",\"Find(0)=3, Find(2)=3, Add (0,2)=70 Failed, w=95\",\"Find(1)=3, Find(6)=3, Add (1,6)=78 Failed, w=95\",\"Find(0)=3, Find(1)=3, Add (0,1)=83 Failed, w=95\",\"Find(1)=3, Find(3)=3, Add (1,3)=88 Failed, w=95\",\"Find(5)=3, Find(6)=3, Add (5,6)=90 Failed, w=95\",\"Find(4)=3, Find(6)=3, Add (4,6)=92 Failed, w=95\",\"Find(2)=3, Find(6)=3, Add (2,6)=94 Failed, w=95\",\"Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=95\",\"Find(2)=3, Find(3)=3, Add (2,3)=97 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,70],[0,3,10],[0,4,96],[0,5,48],[0,6,27],[1,2,8],[1,3,88],[1,4,68],[1,5,0],[1,6,78],[2,3,97],[2,4,61],[2,5,31],[2,6,94],[3,5,38],[3,6,6],[4,5,33],[4,6,92],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(3,6)=6,(1,2)=8,(0,3)=10,(0,6)=27,(2,5)=31,(4,5)=33,(3,5)=38,(0,5)=48,(2,4)=61,(1,4)=68,(0,2)=70,(1,6)=78,(0,1)=83,(1,3)=88,(5,6)=90,(4,6)=92,(2,6)=94,(0,4)=96,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=14\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=24\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=27 Failed, w=24\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3}, Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=24\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(4)=4, Find(5)=1, Add (4,5)=33 Succeeded, w=57\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(3)=3, Find(5)=1, Add (3,5)=38 Succeeded, w=95\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 1, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=48 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=61 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=68 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=70 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=78 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=83 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=88 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=90 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=92 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=94 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=97 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,74],[0,2,100],[0,3,38],[1,2,94],[1,3,16],[2,3,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,100],[0,3,38],[1,2,94],[1,3,16],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,100],[0,3,38],[1,2,94],[1,3,16],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,100],[0,3,38],[1,2,94],[1,3,16],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16, w=16\",\"Add (0,3)=38, w=54\",\"Add (2,3)=62, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,100],[0,3,38],[1,2,94],[1,3,16],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16 Succeeded, w=16\",\"Add (0,3)=38 Succeeded, w=54\",\"Add (2,3)=62 Succeeded, w=116\",\"Add (0,1)=74 Failed, w=116\",\"Add (1,2)=94 Failed, w=116\",\"Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,100],[0,3,38],[1,2,94],[1,3,16],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(0,3)=38,(2,3)=62,(0,1)=74,(1,2)=94,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=1, Add (0,3)=38 Succeeded, w=54\",\"Find(2)=2, Find(3)=1, Add (2,3)=62 Succeeded, w=116\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=116\",\"Find(1)=1, Find(2)=1, Add (1,2)=94 Failed, w=116\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,100],[0,3,38],[1,2,94],[1,3,16],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(0,3)=38,(2,3)=62,(0,1)=74,(1,2)=94,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=38 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=62 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=94 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,2,80],[0,3,80],[0,4,8],[0,5,85],[0,6,2],[0,7,5],[1,2,0],[1,3,57],[1,4,14],[1,5,36],[1,6,21],[1,7,3],[2,3,30],[2,4,45],[2,5,91],[2,6,2],[2,7,36],[3,4,39],[3,5,19],[3,6,71],[3,7,48],[4,5,25],[4,6,8],[4,7,44],[5,6,75],[5,7,58],[6,7,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,80],[0,3,80],[0,4,8],[0,5,85],[0,6,2],[0,7,5],[1,2,0],[1,3,57],[1,4,14],[1,5,36],[1,6,21],[1,7,3],[2,3,30],[2,4,45],[2,5,91],[2,6,2],[2,7,36],[3,4,39],[3,5,19],[3,6,71],[3,7,48],[4,5,25],[4,6,8],[4,7,44],[5,6,75],[5,7,58],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,80],[0,3,80],[0,4,8],[0,5,85],[0,6,2],[0,7,5],[1,2,0],[1,3,57],[1,4,14],[1,5,36],[1,6,21],[1,7,3],[2,3,30],[2,4,45],[2,5,91],[2,6,2],[2,7,36],[3,4,39],[3,5,19],[3,6,71],[3,7,48],[4,5,25],[4,6,8],[4,7,44],[5,6,75],[5,7,58],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (1,7)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,80],[0,3,80],[0,4,8],[0,5,85],[0,6,2],[0,7,5],[1,2,0],[1,3,57],[1,4,14],[1,5,36],[1,6,21],[1,7,3],[2,3,30],[2,4,45],[2,5,91],[2,6,2],[2,7,36],[3,4,39],[3,5,19],[3,6,71],[3,7,48],[4,5,25],[4,6,8],[4,7,44],[5,6,75],[5,7,58],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,6)=2, w=2\",\"Add (2,6)=2, w=4\",\"Add (1,7)=3, w=7\",\"Add (0,4)=8, w=15\",\"Add (3,5)=19, w=34\",\"Add (4,5)=25, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,80],[0,3,80],[0,4,8],[0,5,85],[0,6,2],[0,7,5],[1,2,0],[1,3,57],[1,4,14],[1,5,36],[1,6,21],[1,7,3],[2,3,30],[2,4,45],[2,5,91],[2,6,2],[2,7,36],[3,4,39],[3,5,19],[3,6,71],[3,7,48],[4,5,25],[4,6,8],[4,7,44],[5,6,75],[5,7,58],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,6)=2 Succeeded, w=2\",\"Add (2,6)=2 Succeeded, w=4\",\"Add (1,7)=3 Succeeded, w=7\",\"Add (0,7)=5 Failed, w=7\",\"Add (0,4)=8 Succeeded, w=15\",\"Add (4,6)=8 Failed, w=15\",\"Add (1,4)=14 Failed, w=15\",\"Add (3,5)=19 Succeeded, w=34\",\"Add (1,6)=21 Failed, w=34\",\"Add (4,5)=25 Succeeded, w=59\",\"Add (2,3)=30 Failed, w=59\",\"Add (1,5)=36 Failed, w=59\",\"Add (2,7)=36 Failed, w=59\",\"Add (3,4)=39 Failed, w=59\",\"Add (4,7)=44 Failed, w=59\",\"Add (2,4)=45 Failed, w=59\",\"Add (3,7)=48 Failed, w=59\",\"Add (0,1)=56 Failed, w=59\",\"Add (1,3)=57 Failed, w=59\",\"Add (5,7)=58 Failed, w=59\",\"Add (3,6)=71 Failed, w=59\",\"Add (5,6)=75 Failed, w=59\",\"Add (0,2)=80 Failed, w=59\",\"Add (0,3)=80 Failed, w=59\",\"Add (0,5)=85 Failed, w=59\",\"Add (6,7)=88 Failed, w=59\",\"Add (2,5)=91 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,80],[0,3,80],[0,4,8],[0,5,85],[0,6,2],[0,7,5],[1,2,0],[1,3,57],[1,4,14],[1,5,36],[1,6,21],[1,7,3],[2,3,30],[2,4,45],[2,5,91],[2,6,2],[2,7,36],[3,4,39],[3,5,19],[3,6,71],[3,7,48],[4,5,25],[4,6,8],[4,7,44],[5,6,75],[5,7,58],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,6)=2,(2,6)=2,(1,7)=3,(0,7)=5,(0,4)=8,(4,6)=8,(1,4)=14,(3,5)=19,(1,6)=21,(4,5)=25,(2,3)=30,(1,5)=36,(2,7)=36,(3,4)=39,(4,7)=44,(2,4)=45,(3,7)=48,(0,1)=56,(1,3)=57,(5,7)=58,(3,6)=71,(5,6)=75,(0,2)=80,(0,3)=80,(0,5)=85,(6,7)=88,(2,5)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(2)=1, Find(6)=0, Add (2,6)=2 Succeeded, w=4\",\"Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=7\",\"Find(0)=1, Find(7)=1, Add (0,7)=5 Failed, w=7\",\"Find(0)=1, Find(4)=4, Add (0,4)=8 Succeeded, w=15\",\"Find(4)=1, Find(6)=1, Add (4,6)=8 Failed, w=15\",\"Find(1)=1, Find(4)=1, Add (1,4)=14 Failed, w=15\",\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=34\",\"Find(1)=1, Find(6)=1, Add (1,6)=21 Failed, w=34\",\"Find(4)=1, Find(5)=3, Add (4,5)=25 Succeeded, w=59\",\"Find(2)=1, Find(3)=1, Add (2,3)=30 Failed, w=59\",\"Find(1)=1, Find(5)=1, Add (1,5)=36 Failed, w=59\",\"Find(2)=1, Find(7)=1, Add (2,7)=36 Failed, w=59\",\"Find(3)=1, Find(4)=1, Add (3,4)=39 Failed, w=59\",\"Find(4)=1, Find(7)=1, Add (4,7)=44 Failed, w=59\",\"Find(2)=1, Find(4)=1, Add (2,4)=45 Failed, w=59\",\"Find(3)=1, Find(7)=1, Add (3,7)=48 Failed, w=59\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=59\",\"Find(1)=1, Find(3)=1, Add (1,3)=57 Failed, w=59\",\"Find(5)=1, Find(7)=1, Add (5,7)=58 Failed, w=59\",\"Find(3)=1, Find(6)=1, Add (3,6)=71 Failed, w=59\",\"Find(5)=1, Find(6)=1, Add (5,6)=75 Failed, w=59\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=59\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=59\",\"Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=59\",\"Find(6)=1, Find(7)=1, Add (6,7)=88 Failed, w=59\",\"Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,80],[0,3,80],[0,4,8],[0,5,85],[0,6,2],[0,7,5],[1,2,0],[1,3,57],[1,4,14],[1,5,36],[1,6,21],[1,7,3],[2,3,30],[2,4,45],[2,5,91],[2,6,2],[2,7,36],[3,4,39],[3,5,19],[3,6,71],[3,7,48],[4,5,25],[4,6,8],[4,7,44],[5,6,75],[5,7,58],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,6)=2,(2,6)=2,(1,7)=3,(0,7)=5,(0,4)=8,(4,6)=8,(1,4)=14,(3,5)=19,(1,6)=21,(4,5)=25,(2,3)=30,(1,5)=36,(2,7)=36,(3,4)=39,(4,7)=44,(2,4)=45,(3,7)=48,(0,1)=56,(1,3)=57,(5,7)=58,(3,6)=71,(5,6)=75,(0,2)=80,(0,3)=80,(0,5)=85,(6,7)=88,(2,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(2)=1, Find(6)=0, Add (2,6)=2 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=5 Failed, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 0, 7: 1}, Find(0)=1, Find(4)=4, Add (0,4)=8 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=8 Failed, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=14 Failed, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 1, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=21 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(4)=1, Find(5)=3, Add (4,5)=25 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=30 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=36 Failed, w=59\",\"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)=36 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=39 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=44 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=45 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=48 Failed, w=59\",\"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)=56 Failed, w=59\",\"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)=57 Failed, w=59\",\"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)=58 Failed, w=59\",\"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)=71 Failed, w=59\",\"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)=75 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=59\",\"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)=80 Failed, w=59\",\"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=59\",\"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)=88 Failed, w=59\",\"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)=91 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,3,8],[1,3,75],[2,3,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,8],[1,3,75],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,8],[1,3,75],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,8],[1,3,75],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (2,3)=42, w=50\",\"Add (1,3)=75, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,8],[1,3,75],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (2,3)=42 Succeeded, w=50\",\"Add (1,3)=75 Succeeded, w=125\",\"Add (0,1)=91 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,8],[1,3,75],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(2,3)=42,(1,3)=75,(0,1)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=0, Add (2,3)=42 Succeeded, w=50\",\"Find(1)=1, Find(3)=0, Add (1,3)=75 Succeeded, w=125\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,8],[1,3,75],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(2,3)=42,(1,3)=75,(0,1)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=42 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=75 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,57],[0,2,84],[0,3,96],[0,4,59],[0,5,23],[0,6,56],[0,7,3],[1,2,36],[1,3,33],[1,4,58],[1,5,44],[1,6,54],[1,7,1],[2,3,59],[2,4,61],[2,5,72],[2,6,100],[2,7,93],[3,4,18],[3,5,47],[3,6,6],[3,7,86],[4,5,31],[4,6,44],[4,7,88],[5,6,33],[5,7,87],[6,7,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,84],[0,3,96],[0,4,59],[0,5,23],[0,6,56],[0,7,3],[1,2,36],[1,3,33],[1,4,58],[1,5,44],[1,6,54],[1,7,1],[2,3,59],[2,4,61],[2,5,72],[2,6,100],[2,7,93],[3,4,18],[3,5,47],[3,6,6],[3,7,86],[4,5,31],[4,6,44],[4,7,88],[5,6,33],[5,7,87],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,84],[0,3,96],[0,4,59],[0,5,23],[0,6,56],[0,7,3],[1,2,36],[1,3,33],[1,4,58],[1,5,44],[1,6,54],[1,7,1],[2,3,59],[2,4,61],[2,5,72],[2,6,100],[2,7,93],[3,4,18],[3,5,47],[3,6,6],[3,7,86],[4,5,31],[4,6,44],[4,7,88],[5,6,33],[5,7,87],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (0,7)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,84],[0,3,96],[0,4,59],[0,5,23],[0,6,56],[0,7,3],[1,2,36],[1,3,33],[1,4,58],[1,5,44],[1,6,54],[1,7,1],[2,3,59],[2,4,61],[2,5,72],[2,6,100],[2,7,93],[3,4,18],[3,5,47],[3,6,6],[3,7,86],[4,5,31],[4,6,44],[4,7,88],[5,6,33],[5,7,87],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=1, w=1\",\"Add (0,7)=3, w=4\",\"Add (3,6)=6, w=10\",\"Add (3,4)=18, w=28\",\"Add (0,5)=23, w=51\",\"Add (4,5)=31, w=82\",\"Add (1,2)=36, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,84],[0,3,96],[0,4,59],[0,5,23],[0,6,56],[0,7,3],[1,2,36],[1,3,33],[1,4,58],[1,5,44],[1,6,54],[1,7,1],[2,3,59],[2,4,61],[2,5,72],[2,6,100],[2,7,93],[3,4,18],[3,5,47],[3,6,6],[3,7,86],[4,5,31],[4,6,44],[4,7,88],[5,6,33],[5,7,87],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=1 Succeeded, w=1\",\"Add (0,7)=3 Succeeded, w=4\",\"Add (3,6)=6 Succeeded, w=10\",\"Add (3,4)=18 Succeeded, w=28\",\"Add (0,5)=23 Succeeded, w=51\",\"Add (4,5)=31 Succeeded, w=82\",\"Add (1,3)=33 Failed, w=82\",\"Add (5,6)=33 Failed, w=82\",\"Add (1,2)=36 Succeeded, w=118\",\"Add (1,5)=44 Failed, w=118\",\"Add (4,6)=44 Failed, w=118\",\"Add (3,5)=47 Failed, w=118\",\"Add (1,6)=54 Failed, w=118\",\"Add (0,6)=56 Failed, w=118\",\"Add (6,7)=56 Failed, w=118\",\"Add (0,1)=57 Failed, w=118\",\"Add (1,4)=58 Failed, w=118\",\"Add (0,4)=59 Failed, w=118\",\"Add (2,3)=59 Failed, w=118\",\"Add (2,4)=61 Failed, w=118\",\"Add (2,5)=72 Failed, w=118\",\"Add (0,2)=84 Failed, w=118\",\"Add (3,7)=86 Failed, w=118\",\"Add (5,7)=87 Failed, w=118\",\"Add (4,7)=88 Failed, w=118\",\"Add (2,7)=93 Failed, w=118\",\"Add (0,3)=96 Failed, w=118\",\"Add (2,6)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,84],[0,3,96],[0,4,59],[0,5,23],[0,6,56],[0,7,3],[1,2,36],[1,3,33],[1,4,58],[1,5,44],[1,6,54],[1,7,1],[2,3,59],[2,4,61],[2,5,72],[2,6,100],[2,7,93],[3,4,18],[3,5,47],[3,6,6],[3,7,86],[4,5,31],[4,6,44],[4,7,88],[5,6,33],[5,7,87],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=1,(0,7)=3,(3,6)=6,(3,4)=18,(0,5)=23,(4,5)=31,(1,3)=33,(5,6)=33,(1,2)=36,(1,5)=44,(4,6)=44,(3,5)=47,(1,6)=54,(0,6)=56,(6,7)=56,(0,1)=57,(1,4)=58,(0,4)=59,(2,3)=59,(2,4)=61,(2,5)=72,(0,2)=84,(3,7)=86,(5,7)=87,(4,7)=88,(2,7)=93,(0,3)=96,(2,6)=100]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Find(0)=0, Find(7)=1, Add (0,7)=3 Succeeded, w=4\",\"Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=10\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=28\",\"Find(0)=1, Find(5)=5, Add (0,5)=23 Succeeded, w=51\",\"Find(4)=3, Find(5)=1, Add (4,5)=31 Succeeded, w=82\",\"Find(1)=3, Find(3)=3, Add (1,3)=33 Failed, w=82\",\"Find(5)=3, Find(6)=3, Add (5,6)=33 Failed, w=82\",\"Find(1)=3, Find(2)=2, Add (1,2)=36 Succeeded, w=118\",\"Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=118\",\"Find(4)=3, Find(6)=3, Add (4,6)=44 Failed, w=118\",\"Find(3)=3, Find(5)=3, Add (3,5)=47 Failed, w=118\",\"Find(1)=3, Find(6)=3, Add (1,6)=54 Failed, w=118\",\"Find(0)=3, Find(6)=3, Add (0,6)=56 Failed, w=118\",\"Find(6)=3, Find(7)=3, Add (6,7)=56 Failed, w=118\",\"Find(0)=3, Find(1)=3, Add (0,1)=57 Failed, w=118\",\"Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=118\",\"Find(0)=3, Find(4)=3, Add (0,4)=59 Failed, w=118\",\"Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=118\",\"Find(2)=3, Find(4)=3, Add (2,4)=61 Failed, w=118\",\"Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=118\",\"Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=118\",\"Find(3)=3, Find(7)=3, Add (3,7)=86 Failed, w=118\",\"Find(5)=3, Find(7)=3, Add (5,7)=87 Failed, w=118\",\"Find(4)=3, Find(7)=3, Add (4,7)=88 Failed, w=118\",\"Find(2)=3, Find(7)=3, Add (2,7)=93 Failed, w=118\",\"Find(0)=3, Find(3)=3, Add (0,3)=96 Failed, w=118\",\"Find(2)=3, Find(6)=3, Add (2,6)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,84],[0,3,96],[0,4,59],[0,5,23],[0,6,56],[0,7,3],[1,2,36],[1,3,33],[1,4,58],[1,5,44],[1,6,54],[1,7,1],[2,3,59],[2,4,61],[2,5,72],[2,6,100],[2,7,93],[3,4,18],[3,5,47],[3,6,6],[3,7,86],[4,5,31],[4,6,44],[4,7,88],[5,6,33],[5,7,87],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=1,(0,7)=3,(3,6)=6,(3,4)=18,(0,5)=23,(4,5)=31,(1,3)=33,(5,6)=33,(1,2)=36,(1,5)=44,(4,6)=44,(3,5)=47,(1,6)=54,(0,6)=56,(6,7)=56,(0,1)=57,(1,4)=58,(0,4)=59,(2,3)=59,(2,4)=61,(2,5)=72,(0,2)=84,(3,7)=86,(5,7)=87,(4,7)=88,(2,7)=93,(0,3)=96,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=3 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 1}, Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 1}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3, 7: 1}, Find(0)=1, Find(5)=5, Add (0,5)=23 Succeeded, w=51\",\"Parent: {0: 1, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3, 7: 1}, Find(4)=3, Find(5)=1, Add (4,5)=31 Succeeded, w=82\",\"Parent: {0: 1, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3, 7: 1}, Find(1)=3, Find(3)=3, Add (1,3)=33 Failed, w=82\",\"Parent: {0: 1, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(5)=3, Find(6)=3, Add (5,6)=33 Failed, w=82\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(2)=2, Add (1,2)=36 Succeeded, w=118\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=118\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(4)=3, Find(6)=3, Add (4,6)=44 Failed, w=118\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(3)=3, Find(5)=3, Add (3,5)=47 Failed, w=118\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(6)=3, Add (1,6)=54 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(0)=3, Find(6)=3, Add (0,6)=56 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=56 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=57 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=59 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=61 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=86 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=87 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=88 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=93 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=96 Failed, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,60],[0,5,91],[1,2,64],[1,5,73],[1,6,72],[2,4,72],[2,6,6],[3,4,88],[3,5,33],[3,6,70],[3,7,47],[4,5,86],[5,6,51],[6,7,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,60],[0,5,91],[1,2,64],[1,5,73],[1,6,72],[2,4,72],[2,6,6],[3,4,88],[3,5,33],[3,6,70],[3,7,47],[4,5,86],[5,6,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":333}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,60],[0,5,91],[1,2,64],[1,5,73],[1,6,72],[2,4,72],[2,6,6],[3,4,88],[3,5,33],[3,6,70],[3,7,47],[4,5,86],[5,6,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":333}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,60],[0,5,91],[1,2,64],[1,5,73],[1,6,72],[2,4,72],[2,6,6],[3,4,88],[3,5,33],[3,6,70],[3,7,47],[4,5,86],[5,6,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6, w=6\",\"Add (3,5)=33, w=39\",\"Add (3,7)=47, w=86\",\"Add (5,6)=51, w=137\",\"Add (0,3)=60, w=197\",\"Add (1,2)=64, w=261\",\"Add (2,4)=72, w=333\"],\"Answer\":333}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,60],[0,5,91],[1,2,64],[1,5,73],[1,6,72],[2,4,72],[2,6,6],[3,4,88],[3,5,33],[3,6,70],[3,7,47],[4,5,86],[5,6,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6 Succeeded, w=6\",\"Add (3,5)=33 Succeeded, w=39\",\"Add (3,7)=47 Succeeded, w=86\",\"Add (5,6)=51 Succeeded, w=137\",\"Add (0,3)=60 Succeeded, w=197\",\"Add (1,2)=64 Succeeded, w=261\",\"Add (3,6)=70 Failed, w=261\",\"Add (1,6)=72 Failed, w=261\",\"Add (2,4)=72 Succeeded, w=333\",\"Add (1,5)=73 Failed, w=333\",\"Add (6,7)=79 Failed, w=333\",\"Add (4,5)=86 Failed, w=333\",\"Add (3,4)=88 Failed, w=333\",\"Add (0,5)=91 Failed, w=333\"],\"Answer\":333}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,60],[0,5,91],[1,2,64],[1,5,73],[1,6,72],[2,4,72],[2,6,6],[3,4,88],[3,5,33],[3,6,70],[3,7,47],[4,5,86],[5,6,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(3,5)=33,(3,7)=47,(5,6)=51,(0,3)=60,(1,2)=64,(3,6)=70,(1,6)=72,(2,4)=72,(1,5)=73,(6,7)=79,(4,5)=86,(3,4)=88,(0,5)=91]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=33 Succeeded, w=39\",\"Find(3)=3, Find(7)=7, Add (3,7)=47 Succeeded, w=86\",\"Find(5)=3, Find(6)=2, Add (5,6)=51 Succeeded, w=137\",\"Find(0)=0, Find(3)=3, Add (0,3)=60 Succeeded, w=197\",\"Find(1)=1, Find(2)=3, Add (1,2)=64 Succeeded, w=261\",\"Find(3)=3, Find(6)=3, Add (3,6)=70 Failed, w=261\",\"Find(1)=3, Find(6)=3, Add (1,6)=72 Failed, w=261\",\"Find(2)=3, Find(4)=4, Add (2,4)=72 Succeeded, w=333\",\"Find(1)=3, Find(5)=3, Add (1,5)=73 Failed, w=333\",\"Find(6)=3, Find(7)=3, Add (6,7)=79 Failed, w=333\",\"Find(4)=3, Find(5)=3, Add (4,5)=86 Failed, w=333\",\"Find(3)=3, Find(4)=3, Add (3,4)=88 Failed, w=333\",\"Find(0)=3, Find(5)=3, Add (0,5)=91 Failed, w=333\"],\"Answer\":333}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,60],[0,5,91],[1,2,64],[1,5,73],[1,6,72],[2,4,72],[2,6,6],[3,4,88],[3,5,33],[3,6,70],[3,7,47],[4,5,86],[5,6,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(3,5)=33,(3,7)=47,(5,6)=51,(0,3)=60,(1,2)=64,(3,6)=70,(1,6)=72,(2,4)=72,(1,5)=73,(6,7)=79,(4,5)=86,(3,4)=88,(0,5)=91]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=33 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=47 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 2, 7: 3}, Find(5)=3, Find(6)=2, Add (5,6)=51 Succeeded, w=137\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 2, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=60 Succeeded, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 2, 7: 3}, Find(1)=1, Find(2)=3, Add (1,2)=64 Succeeded, w=261\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=70 Failed, w=261\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=72 Failed, w=261\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=4, Add (2,4)=72 Succeeded, w=333\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=73 Failed, w=333\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=79 Failed, w=333\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=86 Failed, w=333\",\"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)=88 Failed, w=333\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=91 Failed, w=333\"],\"Answer\":333}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,96],[0,2,85],[0,3,49],[1,2,28],[2,3,99]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,85],[0,3,49],[1,2,28],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,85],[0,3,49],[1,2,28],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,85],[0,3,49],[1,2,28],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=28, w=28\",\"Add (0,3)=49, w=77\",\"Add (0,2)=85, w=162\"],\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,85],[0,3,49],[1,2,28],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=28 Succeeded, w=28\",\"Add (0,3)=49 Succeeded, w=77\",\"Add (0,2)=85 Succeeded, w=162\",\"Add (0,1)=96 Failed, w=162\",\"Add (2,3)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,85],[0,3,49],[1,2,28],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=28,(0,3)=49,(0,2)=85,(0,1)=96,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=28\",\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=77\",\"Find(0)=0, Find(2)=1, Add (0,2)=85 Succeeded, w=162\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=162\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,85],[0,3,49],[1,2,28],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=28,(0,3)=49,(0,2)=85,(0,1)=96,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=85 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,61],[0,4,30],[0,6,67],[0,7,35],[1,2,30],[1,3,10],[1,4,100],[1,5,75],[1,6,66],[2,4,4],[2,5,76],[2,6,23],[2,7,98],[3,4,86],[3,7,43],[4,5,78],[4,7,3],[5,6,91],[5,7,17],[6,7,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,4,30],[0,6,67],[0,7,35],[1,2,30],[1,3,10],[1,4,100],[1,5,75],[1,6,66],[2,4,4],[2,5,76],[2,6,23],[2,7,98],[3,4,86],[3,7,43],[4,5,78],[4,7,3],[5,6,91],[5,7,17],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,4,30],[0,6,67],[0,7,35],[1,2,30],[1,3,10],[1,4,100],[1,5,75],[1,6,66],[2,4,4],[2,5,76],[2,6,23],[2,7,98],[3,4,86],[3,7,43],[4,5,78],[4,7,3],[5,6,91],[5,7,17],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (5,7)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":117}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,4,30],[0,6,67],[0,7,35],[1,2,30],[1,3,10],[1,4,100],[1,5,75],[1,6,66],[2,4,4],[2,5,76],[2,6,23],[2,7,98],[3,4,86],[3,7,43],[4,5,78],[4,7,3],[5,6,91],[5,7,17],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3, w=3\",\"Add (2,4)=4, w=7\",\"Add (1,3)=10, w=17\",\"Add (5,7)=17, w=34\",\"Add (2,6)=23, w=57\",\"Add (0,4)=30, w=87\",\"Add (1,2)=30, w=117\"],\"Answer\":117}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,4,30],[0,6,67],[0,7,35],[1,2,30],[1,3,10],[1,4,100],[1,5,75],[1,6,66],[2,4,4],[2,5,76],[2,6,23],[2,7,98],[3,4,86],[3,7,43],[4,5,78],[4,7,3],[5,6,91],[5,7,17],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3 Succeeded, w=3\",\"Add (2,4)=4 Succeeded, w=7\",\"Add (1,3)=10 Succeeded, w=17\",\"Add (5,7)=17 Succeeded, w=34\",\"Add (2,6)=23 Succeeded, w=57\",\"Add (0,4)=30 Succeeded, w=87\",\"Add (1,2)=30 Succeeded, w=117\",\"Add (0,7)=35 Failed, w=117\",\"Add (3,7)=43 Failed, w=117\",\"Add (0,2)=61 Failed, w=117\",\"Add (1,6)=66 Failed, w=117\",\"Add (0,6)=67 Failed, w=117\",\"Add (1,5)=75 Failed, w=117\",\"Add (2,5)=76 Failed, w=117\",\"Add (4,5)=78 Failed, w=117\",\"Add (3,4)=86 Failed, w=117\",\"Add (5,6)=91 Failed, w=117\",\"Add (6,7)=96 Failed, w=117\",\"Add (2,7)=98 Failed, w=117\",\"Add (1,4)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,4,30],[0,6,67],[0,7,35],[1,2,30],[1,3,10],[1,4,100],[1,5,75],[1,6,66],[2,4,4],[2,5,76],[2,6,23],[2,7,98],[3,4,86],[3,7,43],[4,5,78],[4,7,3],[5,6,91],[5,7,17],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(2,4)=4,(1,3)=10,(5,7)=17,(2,6)=23,(0,4)=30,(1,2)=30,(0,7)=35,(3,7)=43,(0,2)=61,(1,6)=66,(0,6)=67,(1,5)=75,(2,5)=76,(4,5)=78,(3,4)=86,(5,6)=91,(6,7)=96,(2,7)=98,(1,4)=100]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=17\",\"Find(5)=5, Find(7)=4, Add (5,7)=17 Succeeded, w=34\",\"Find(2)=4, Find(6)=6, Add (2,6)=23 Succeeded, w=57\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=87\",\"Find(1)=1, Find(2)=4, Add (1,2)=30 Succeeded, w=117\",\"Find(0)=1, Find(7)=1, Add (0,7)=35 Failed, w=117\",\"Find(3)=1, Find(7)=1, Add (3,7)=43 Failed, w=117\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=117\",\"Find(1)=1, Find(6)=1, Add (1,6)=66 Failed, w=117\",\"Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=117\",\"Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=117\",\"Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=117\",\"Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=117\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=117\",\"Find(5)=1, Find(6)=1, Add (5,6)=91 Failed, w=117\",\"Find(6)=1, Find(7)=1, Add (6,7)=96 Failed, w=117\",\"Find(2)=1, Find(7)=1, Add (2,7)=98 Failed, w=117\",\"Find(1)=1, Find(4)=1, Add (1,4)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,4,30],[0,6,67],[0,7,35],[1,2,30],[1,3,10],[1,4,100],[1,5,75],[1,6,66],[2,4,4],[2,5,76],[2,6,23],[2,7,98],[3,4,86],[3,7,43],[4,5,78],[4,7,3],[5,6,91],[5,7,17],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(2,4)=4,(1,3)=10,(5,7)=17,(2,6)=23,(0,4)=30,(1,2)=30,(0,7)=35,(3,7)=43,(0,2)=61,(1,6)=66,(0,6)=67,(1,5)=75,(2,5)=76,(4,5)=78,(3,4)=86,(5,6)=91,(6,7)=96,(2,7)=98,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4, 6: 6, 7: 4}, Find(5)=5, Find(7)=4, Add (5,7)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=6, Add (2,6)=23 Succeeded, w=57\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=87\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4, 6: 4, 7: 4}, Find(1)=1, Find(2)=4, Add (1,2)=30 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4, 6: 4, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=35 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4, 6: 4, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=43 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 4, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=66 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=117\",\"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)=76 Failed, w=117\",\"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)=78 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=91 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=96 Failed, w=117\",\"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)=98 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,10],[0,3,56],[0,4,31],[0,5,31],[0,6,73],[1,2,21],[1,3,78],[1,4,82],[1,5,76],[2,3,100],[2,6,50],[3,5,53],[3,6,98],[4,5,94],[5,6,93]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,10],[0,3,56],[0,4,31],[0,5,31],[0,6,73],[1,2,21],[1,3,78],[1,4,82],[1,5,76],[2,3,100],[2,6,50],[3,5,53],[3,6,98],[4,5,94],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":196}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,10],[0,3,56],[0,4,31],[0,5,31],[0,6,73],[1,2,21],[1,3,78],[1,4,82],[1,5,76],[2,3,100],[2,6,50],[3,5,53],[3,6,98],[4,5,94],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (3,5)\"],\"Answer\":196}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,10],[0,3,56],[0,4,31],[0,5,31],[0,6,73],[1,2,21],[1,3,78],[1,4,82],[1,5,76],[2,3,100],[2,6,50],[3,5,53],[3,6,98],[4,5,94],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (1,2)=21, w=31\",\"Add (0,4)=31, w=62\",\"Add (0,5)=31, w=93\",\"Add (2,6)=50, w=143\",\"Add (3,5)=53, w=196\"],\"Answer\":196}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,10],[0,3,56],[0,4,31],[0,5,31],[0,6,73],[1,2,21],[1,3,78],[1,4,82],[1,5,76],[2,3,100],[2,6,50],[3,5,53],[3,6,98],[4,5,94],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (1,2)=21 Succeeded, w=31\",\"Add (0,4)=31 Succeeded, w=62\",\"Add (0,5)=31 Succeeded, w=93\",\"Add (2,6)=50 Succeeded, w=143\",\"Add (3,5)=53 Succeeded, w=196\",\"Add (0,3)=56 Failed, w=196\",\"Add (0,1)=61 Failed, w=196\",\"Add (0,6)=73 Failed, w=196\",\"Add (1,5)=76 Failed, w=196\",\"Add (1,3)=78 Failed, w=196\",\"Add (1,4)=82 Failed, w=196\",\"Add (5,6)=93 Failed, w=196\",\"Add (4,5)=94 Failed, w=196\",\"Add (3,6)=98 Failed, w=196\",\"Add (2,3)=100 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,10],[0,3,56],[0,4,31],[0,5,31],[0,6,73],[1,2,21],[1,3,78],[1,4,82],[1,5,76],[2,3,100],[2,6,50],[3,5,53],[3,6,98],[4,5,94],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(1,2)=21,(0,4)=31,(0,5)=31,(2,6)=50,(3,5)=53,(0,3)=56,(0,1)=61,(0,6)=73,(1,5)=76,(1,3)=78,(1,4)=82,(5,6)=93,(4,5)=94,(3,6)=98,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=0, Add (1,2)=21 Succeeded, w=31\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=62\",\"Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=93\",\"Find(2)=0, Find(6)=6, Add (2,6)=50 Succeeded, w=143\",\"Find(3)=3, Find(5)=0, Add (3,5)=53 Succeeded, w=196\",\"Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=196\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=196\",\"Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=196\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=196\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=196\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=196\",\"Find(5)=0, Find(6)=0, Add (5,6)=93 Failed, w=196\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=196\",\"Find(3)=0, Find(6)=0, Add (3,6)=98 Failed, w=196\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,10],[0,3,56],[0,4,31],[0,5,31],[0,6,73],[1,2,21],[1,3,78],[1,4,82],[1,5,76],[2,3,100],[2,6,50],[3,5,53],[3,6,98],[4,5,94],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(1,2)=21,(0,4)=31,(0,5)=31,(2,6)=50,(3,5)=53,(0,3)=56,(0,1)=61,(0,6)=73,(1,5)=76,(1,3)=78,(1,4)=82,(5,6)=93,(4,5)=94,(3,6)=98,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=50 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=53 Succeeded, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=196\",\"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=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=93 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=98 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,100],[0,4,89],[0,5,64],[0,7,73],[1,2,98],[1,4,80],[1,5,71],[1,7,60],[2,3,24],[2,4,71],[2,5,2],[2,6,18],[2,7,68],[3,4,71],[3,6,21],[3,7,90],[4,5,8],[4,6,49],[5,6,33],[5,7,59],[6,7,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,4,89],[0,5,64],[0,7,73],[1,2,98],[1,4,80],[1,5,71],[1,7,60],[2,3,24],[2,4,71],[2,5,2],[2,6,18],[2,7,68],[3,4,71],[3,6,21],[3,7,90],[4,5,8],[4,6,49],[5,6,33],[5,7,59],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,4,89],[0,5,64],[0,7,73],[1,2,98],[1,4,80],[1,5,71],[1,7,60],[2,3,24],[2,4,71],[2,5,2],[2,6,18],[2,7,68],[3,4,71],[3,6,21],[3,7,90],[4,5,8],[4,6,49],[5,6,33],[5,7,59],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (5,7)\",\"Add (1,7)\",\"Add (0,5)\"],\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,4,89],[0,5,64],[0,7,73],[1,2,98],[1,4,80],[1,5,71],[1,7,60],[2,3,24],[2,4,71],[2,5,2],[2,6,18],[2,7,68],[3,4,71],[3,6,21],[3,7,90],[4,5,8],[4,6,49],[5,6,33],[5,7,59],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (4,5)=8, w=10\",\"Add (2,6)=18, w=28\",\"Add (3,6)=21, w=49\",\"Add (5,7)=59, w=108\",\"Add (1,7)=60, w=168\",\"Add (0,5)=64, w=232\"],\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,4,89],[0,5,64],[0,7,73],[1,2,98],[1,4,80],[1,5,71],[1,7,60],[2,3,24],[2,4,71],[2,5,2],[2,6,18],[2,7,68],[3,4,71],[3,6,21],[3,7,90],[4,5,8],[4,6,49],[5,6,33],[5,7,59],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (4,5)=8 Succeeded, w=10\",\"Add (2,6)=18 Succeeded, w=28\",\"Add (3,6)=21 Succeeded, w=49\",\"Add (2,3)=24 Failed, w=49\",\"Add (5,6)=33 Failed, w=49\",\"Add (4,6)=49 Failed, w=49\",\"Add (5,7)=59 Succeeded, w=108\",\"Add (1,7)=60 Succeeded, w=168\",\"Add (6,7)=62 Failed, w=168\",\"Add (0,5)=64 Succeeded, w=232\",\"Add (2,7)=68 Failed, w=232\",\"Add (1,5)=71 Failed, w=232\",\"Add (2,4)=71 Failed, w=232\",\"Add (3,4)=71 Failed, w=232\",\"Add (0,7)=73 Failed, w=232\",\"Add (1,4)=80 Failed, w=232\",\"Add (0,4)=89 Failed, w=232\",\"Add (3,7)=90 Failed, w=232\",\"Add (1,2)=98 Failed, w=232\",\"Add (0,1)=100 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,4,89],[0,5,64],[0,7,73],[1,2,98],[1,4,80],[1,5,71],[1,7,60],[2,3,24],[2,4,71],[2,5,2],[2,6,18],[2,7,68],[3,4,71],[3,6,21],[3,7,90],[4,5,8],[4,6,49],[5,6,33],[5,7,59],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(4,5)=8,(2,6)=18,(3,6)=21,(2,3)=24,(5,6)=33,(4,6)=49,(5,7)=59,(1,7)=60,(6,7)=62,(0,5)=64,(2,7)=68,(1,5)=71,(2,4)=71,(3,4)=71,(0,7)=73,(1,4)=80,(0,4)=89,(3,7)=90,(1,2)=98,(0,1)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=2, Add (4,5)=8 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=28\",\"Find(3)=3, Find(6)=2, Add (3,6)=21 Succeeded, w=49\",\"Find(2)=2, Find(3)=2, Add (2,3)=24 Failed, w=49\",\"Find(5)=2, Find(6)=2, Add (5,6)=33 Failed, w=49\",\"Find(4)=2, Find(6)=2, Add (4,6)=49 Failed, w=49\",\"Find(5)=2, Find(7)=7, Add (5,7)=59 Succeeded, w=108\",\"Find(1)=1, Find(7)=2, Add (1,7)=60 Succeeded, w=168\",\"Find(6)=2, Find(7)=2, Add (6,7)=62 Failed, w=168\",\"Find(0)=0, Find(5)=2, Add (0,5)=64 Succeeded, w=232\",\"Find(2)=2, Find(7)=2, Add (2,7)=68 Failed, w=232\",\"Find(1)=2, Find(5)=2, Add (1,5)=71 Failed, w=232\",\"Find(2)=2, Find(4)=2, Add (2,4)=71 Failed, w=232\",\"Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=232\",\"Find(0)=2, Find(7)=2, Add (0,7)=73 Failed, w=232\",\"Find(1)=2, Find(4)=2, Add (1,4)=80 Failed, w=232\",\"Find(0)=2, Find(4)=2, Add (0,4)=89 Failed, w=232\",\"Find(3)=2, Find(7)=2, Add (3,7)=90 Failed, w=232\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=232\",\"Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,4,89],[0,5,64],[0,7,73],[1,2,98],[1,4,80],[1,5,71],[1,7,60],[2,3,24],[2,4,71],[2,5,2],[2,6,18],[2,7,68],[3,4,71],[3,6,21],[3,7,90],[4,5,8],[4,6,49],[5,6,33],[5,7,59],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(4,5)=8,(2,6)=18,(3,6)=21,(2,3)=24,(5,6)=33,(4,6)=49,(5,7)=59,(1,7)=60,(6,7)=62,(0,5)=64,(2,7)=68,(1,5)=71,(2,4)=71,(3,4)=71,(0,7)=73,(1,4)=80,(0,4)=89,(3,7)=90,(1,2)=98,(0,1)=100]\",\"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: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=4, Find(5)=2, Add (4,5)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(3)=3, Find(6)=2, Add (3,6)=21 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(3)=2, Add (2,3)=24 Failed, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=2, Add (5,6)=33 Failed, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=2, Find(6)=2, Add (4,6)=49 Failed, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=59 Succeeded, w=108\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=60 Succeeded, w=168\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=62 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=64 Succeeded, w=232\",\"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)=68 Failed, w=232\",\"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)=71 Failed, w=232\",\"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)=71 Failed, w=232\",\"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)=71 Failed, w=232\",\"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)=73 Failed, w=232\",\"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)=80 Failed, w=232\",\"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)=89 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=90 Failed, w=232\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=232\",\"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)=100 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,10],[0,3,94],[0,4,80],[0,5,43],[1,2,54],[1,4,40],[1,5,23],[2,3,15],[3,4,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,94],[0,4,80],[0,5,43],[1,2,54],[1,4,40],[1,5,23],[2,3,15],[3,4,64]]}",
"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\":[[0,2,10],[0,3,94],[0,4,80],[0,5,43],[1,2,54],[1,4,40],[1,5,23],[2,3,15],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (0,5)\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,94],[0,4,80],[0,5,43],[1,2,54],[1,4,40],[1,5,23],[2,3,15],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (2,3)=15, w=25\",\"Add (1,5)=23, w=48\",\"Add (1,4)=40, w=88\",\"Add (0,5)=43, 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\":[[0,2,10],[0,3,94],[0,4,80],[0,5,43],[1,2,54],[1,4,40],[1,5,23],[2,3,15],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (2,3)=15 Succeeded, w=25\",\"Add (1,5)=23 Succeeded, w=48\",\"Add (1,4)=40 Succeeded, w=88\",\"Add (0,5)=43 Succeeded, w=131\",\"Add (1,2)=54 Failed, w=131\",\"Add (3,4)=64 Failed, w=131\",\"Add (0,4)=80 Failed, w=131\",\"Add (0,3)=94 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,94],[0,4,80],[0,5,43],[1,2,54],[1,4,40],[1,5,23],[2,3,15],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(2,3)=15,(1,5)=23,(1,4)=40,(0,5)=43,(1,2)=54,(3,4)=64,(0,4)=80,(0,3)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(2)=0, Find(3)=3, Add (2,3)=15 Succeeded, w=25\",\"Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=48\",\"Find(1)=1, Find(4)=4, Add (1,4)=40 Succeeded, w=88\",\"Find(0)=0, Find(5)=1, Add (0,5)=43 Succeeded, w=131\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=131\",\"Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=131\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=131\",\"Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,94],[0,4,80],[0,5,43],[1,2,54],[1,4,40],[1,5,23],[2,3,15],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(2,3)=15,(1,5)=23,(1,4)=40,(0,5)=43,(1,2)=54,(3,4)=64,(0,4)=80,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(2)=0, Find(3)=3, Add (2,3)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=40 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=43 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,82],[0,2,99],[0,3,32],[0,4,78],[0,5,8],[0,6,78],[0,7,9],[1,2,96],[1,3,36],[1,6,2],[1,7,68],[2,3,13],[2,4,1],[2,6,27],[2,7,84],[3,4,40],[3,5,82],[3,6,85],[3,7,53],[4,5,39],[4,6,7],[4,7,25],[5,6,65],[5,7,17],[6,7,94]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,99],[0,3,32],[0,4,78],[0,5,8],[0,6,78],[0,7,9],[1,2,96],[1,3,36],[1,6,2],[1,7,68],[2,3,13],[2,4,1],[2,6,27],[2,7,84],[3,4,40],[3,5,82],[3,6,85],[3,7,53],[4,5,39],[4,6,7],[4,7,25],[5,6,65],[5,7,17],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,99],[0,3,32],[0,4,78],[0,5,8],[0,6,78],[0,7,9],[1,2,96],[1,3,36],[1,6,2],[1,7,68],[2,3,13],[2,4,1],[2,6,27],[2,7,84],[3,4,40],[3,5,82],[3,6,85],[3,7,53],[4,5,39],[4,6,7],[4,7,25],[5,6,65],[5,7,17],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,6)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (0,7)\",\"Add (2,3)\",\"Add (4,7)\"],\"Answer\":65}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,99],[0,3,32],[0,4,78],[0,5,8],[0,6,78],[0,7,9],[1,2,96],[1,3,36],[1,6,2],[1,7,68],[2,3,13],[2,4,1],[2,6,27],[2,7,84],[3,4,40],[3,5,82],[3,6,85],[3,7,53],[4,5,39],[4,6,7],[4,7,25],[5,6,65],[5,7,17],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (1,6)=2, w=3\",\"Add (4,6)=7, w=10\",\"Add (0,5)=8, w=18\",\"Add (0,7)=9, w=27\",\"Add (2,3)=13, w=40\",\"Add (4,7)=25, w=65\"],\"Answer\":65}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,99],[0,3,32],[0,4,78],[0,5,8],[0,6,78],[0,7,9],[1,2,96],[1,3,36],[1,6,2],[1,7,68],[2,3,13],[2,4,1],[2,6,27],[2,7,84],[3,4,40],[3,5,82],[3,6,85],[3,7,53],[4,5,39],[4,6,7],[4,7,25],[5,6,65],[5,7,17],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (1,6)=2 Succeeded, w=3\",\"Add (4,6)=7 Succeeded, w=10\",\"Add (0,5)=8 Succeeded, w=18\",\"Add (0,7)=9 Succeeded, w=27\",\"Add (2,3)=13 Succeeded, w=40\",\"Add (5,7)=17 Failed, w=40\",\"Add (4,7)=25 Succeeded, w=65\",\"Add (2,6)=27 Failed, w=65\",\"Add (0,3)=32 Failed, w=65\",\"Add (1,3)=36 Failed, w=65\",\"Add (4,5)=39 Failed, w=65\",\"Add (3,4)=40 Failed, w=65\",\"Add (3,7)=53 Failed, w=65\",\"Add (5,6)=65 Failed, w=65\",\"Add (1,7)=68 Failed, w=65\",\"Add (0,4)=78 Failed, w=65\",\"Add (0,6)=78 Failed, w=65\",\"Add (0,1)=82 Failed, w=65\",\"Add (3,5)=82 Failed, w=65\",\"Add (2,7)=84 Failed, w=65\",\"Add (3,6)=85 Failed, w=65\",\"Add (6,7)=94 Failed, w=65\",\"Add (1,2)=96 Failed, w=65\",\"Add (0,2)=99 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,99],[0,3,32],[0,4,78],[0,5,8],[0,6,78],[0,7,9],[1,2,96],[1,3,36],[1,6,2],[1,7,68],[2,3,13],[2,4,1],[2,6,27],[2,7,84],[3,4,40],[3,5,82],[3,6,85],[3,7,53],[4,5,39],[4,6,7],[4,7,25],[5,6,65],[5,7,17],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,6)=2,(4,6)=7,(0,5)=8,(0,7)=9,(2,3)=13,(5,7)=17,(4,7)=25,(2,6)=27,(0,3)=32,(1,3)=36,(4,5)=39,(3,4)=40,(3,7)=53,(5,6)=65,(1,7)=68,(0,4)=78,(0,6)=78,(0,1)=82,(3,5)=82,(2,7)=84,(3,6)=85,(6,7)=94,(1,2)=96,(0,2)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=3\",\"Find(4)=2, Find(6)=1, Add (4,6)=7 Succeeded, w=10\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=18\",\"Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=27\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=40\",\"Find(5)=0, Find(7)=0, Add (5,7)=17 Failed, w=40\",\"Find(4)=2, Find(7)=0, Add (4,7)=25 Succeeded, w=65\",\"Find(2)=2, Find(6)=2, Add (2,6)=27 Failed, w=65\",\"Find(0)=2, Find(3)=2, Add (0,3)=32 Failed, w=65\",\"Find(1)=2, Find(3)=2, Add (1,3)=36 Failed, w=65\",\"Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=65\",\"Find(3)=2, Find(4)=2, Add (3,4)=40 Failed, w=65\",\"Find(3)=2, Find(7)=2, Add (3,7)=53 Failed, w=65\",\"Find(5)=2, Find(6)=2, Add (5,6)=65 Failed, w=65\",\"Find(1)=2, Find(7)=2, Add (1,7)=68 Failed, w=65\",\"Find(0)=2, Find(4)=2, Add (0,4)=78 Failed, w=65\",\"Find(0)=2, Find(6)=2, Add (0,6)=78 Failed, w=65\",\"Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=65\",\"Find(3)=2, Find(5)=2, Add (3,5)=82 Failed, w=65\",\"Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=65\",\"Find(3)=2, Find(6)=2, Add (3,6)=85 Failed, w=65\",\"Find(6)=2, Find(7)=2, Add (6,7)=94 Failed, w=65\",\"Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=65\",\"Find(0)=2, Find(2)=2, Add (0,2)=99 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,99],[0,3,32],[0,4,78],[0,5,8],[0,6,78],[0,7,9],[1,2,96],[1,3,36],[1,6,2],[1,7,68],[2,3,13],[2,4,1],[2,6,27],[2,7,84],[3,4,40],[3,5,82],[3,6,85],[3,7,53],[4,5,39],[4,6,7],[4,7,25],[5,6,65],[5,7,17],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,6)=2,(4,6)=7,(0,5)=8,(0,7)=9,(2,3)=13,(5,7)=17,(4,7)=25,(2,6)=27,(0,3)=32,(1,3)=36,(4,5)=39,(3,4)=40,(3,7)=53,(5,6)=65,(1,7)=68,(0,4)=78,(0,6)=78,(0,1)=82,(3,5)=82,(2,7)=84,(3,6)=85,(6,7)=94,(1,2)=96,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1, 7: 7}, Find(4)=2, Find(6)=1, Add (4,6)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 1, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 1, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=17 Failed, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 1, 7: 0}, Find(4)=2, Find(7)=0, Add (4,7)=25 Succeeded, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 0}, Find(2)=2, Find(6)=2, Add (2,6)=27 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 0}, Find(0)=2, Find(3)=2, Add (0,3)=32 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 0}, Find(1)=2, Find(3)=2, Add (1,3)=36 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(3)=2, Find(4)=2, Add (3,4)=40 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=53 Failed, w=65\",\"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)=65 Failed, w=65\",\"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)=68 Failed, w=65\",\"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)=78 Failed, w=65\",\"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)=78 Failed, w=65\",\"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)=82 Failed, w=65\",\"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)=82 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=65\",\"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)=85 Failed, w=65\",\"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)=94 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=65\",\"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)=99 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,3],[0,2,62],[1,2,87],[2,3,86]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,62],[1,2,87],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,62],[1,2,87],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,62],[1,2,87],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,2)=62, w=65\",\"Add (2,3)=86, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,62],[1,2,87],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,2)=62 Succeeded, w=65\",\"Add (2,3)=86 Succeeded, w=151\",\"Add (1,2)=87 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,62],[1,2,87],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=62,(2,3)=86,(1,2)=87]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=65\",\"Find(2)=0, Find(3)=3, Add (2,3)=86 Succeeded, w=151\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,62],[1,2,87],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=62,(2,3)=86,(1,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=86 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,59],[0,3,45],[0,5,10],[0,6,6],[0,7,88],[1,2,94],[1,3,75],[1,4,55],[1,5,19],[1,6,12],[1,7,62],[2,3,52],[2,4,67],[2,5,40],[2,6,86],[2,7,99],[3,4,17],[3,5,58],[3,6,65],[3,7,7],[4,5,16],[4,6,16],[4,7,78],[5,7,44],[6,7,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,59],[0,3,45],[0,5,10],[0,6,6],[0,7,88],[1,2,94],[1,3,75],[1,4,55],[1,5,19],[1,6,12],[1,7,62],[2,3,52],[2,4,67],[2,5,40],[2,6,86],[2,7,99],[3,4,17],[3,5,58],[3,6,65],[3,7,7],[4,5,16],[4,6,16],[4,7,78],[5,7,44],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,59],[0,3,45],[0,5,10],[0,6,6],[0,7,88],[1,2,94],[1,3,75],[1,4,55],[1,5,19],[1,6,12],[1,7,62],[2,3,52],[2,4,67],[2,5,40],[2,6,86],[2,7,99],[3,4,17],[3,5,58],[3,6,65],[3,7,7],[4,5,16],[4,6,16],[4,7,78],[5,7,44],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,6)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,59],[0,3,45],[0,5,10],[0,6,6],[0,7,88],[1,2,94],[1,3,75],[1,4,55],[1,5,19],[1,6,12],[1,7,62],[2,3,52],[2,4,67],[2,5,40],[2,6,86],[2,7,99],[3,4,17],[3,5,58],[3,6,65],[3,7,7],[4,5,16],[4,6,16],[4,7,78],[5,7,44],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (0,6)=6, w=10\",\"Add (3,7)=7, w=17\",\"Add (0,5)=10, w=27\",\"Add (4,5)=16, w=43\",\"Add (3,4)=17, w=60\",\"Add (2,5)=40, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,59],[0,3,45],[0,5,10],[0,6,6],[0,7,88],[1,2,94],[1,3,75],[1,4,55],[1,5,19],[1,6,12],[1,7,62],[2,3,52],[2,4,67],[2,5,40],[2,6,86],[2,7,99],[3,4,17],[3,5,58],[3,6,65],[3,7,7],[4,5,16],[4,6,16],[4,7,78],[5,7,44],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (0,6)=6 Succeeded, w=10\",\"Add (3,7)=7 Succeeded, w=17\",\"Add (0,5)=10 Succeeded, w=27\",\"Add (1,6)=12 Failed, w=27\",\"Add (4,5)=16 Succeeded, w=43\",\"Add (4,6)=16 Failed, w=43\",\"Add (3,4)=17 Succeeded, w=60\",\"Add (1,5)=19 Failed, w=60\",\"Add (2,5)=40 Succeeded, w=100\",\"Add (5,7)=44 Failed, w=100\",\"Add (0,3)=45 Failed, w=100\",\"Add (2,3)=52 Failed, w=100\",\"Add (1,4)=55 Failed, w=100\",\"Add (3,5)=58 Failed, w=100\",\"Add (0,2)=59 Failed, w=100\",\"Add (1,7)=62 Failed, w=100\",\"Add (3,6)=65 Failed, w=100\",\"Add (2,4)=67 Failed, w=100\",\"Add (1,3)=75 Failed, w=100\",\"Add (4,7)=78 Failed, w=100\",\"Add (6,7)=85 Failed, w=100\",\"Add (2,6)=86 Failed, w=100\",\"Add (0,7)=88 Failed, w=100\",\"Add (1,2)=94 Failed, w=100\",\"Add (2,7)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,59],[0,3,45],[0,5,10],[0,6,6],[0,7,88],[1,2,94],[1,3,75],[1,4,55],[1,5,19],[1,6,12],[1,7,62],[2,3,52],[2,4,67],[2,5,40],[2,6,86],[2,7,99],[3,4,17],[3,5,58],[3,6,65],[3,7,7],[4,5,16],[4,6,16],[4,7,78],[5,7,44],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(0,6)=6,(3,7)=7,(0,5)=10,(1,6)=12,(4,5)=16,(4,6)=16,(3,4)=17,(1,5)=19,(2,5)=40,(5,7)=44,(0,3)=45,(2,3)=52,(1,4)=55,(3,5)=58,(0,2)=59,(1,7)=62,(3,6)=65,(2,4)=67,(1,3)=75,(4,7)=78,(6,7)=85,(2,6)=86,(0,7)=88,(1,2)=94,(2,7)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=10\",\"Find(3)=3, Find(7)=7, Add (3,7)=7 Succeeded, w=17\",\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=27\",\"Find(1)=0, Find(6)=0, Add (1,6)=12 Failed, w=27\",\"Find(4)=4, Find(5)=0, Add (4,5)=16 Succeeded, w=43\",\"Find(4)=0, Find(6)=0, Add (4,6)=16 Failed, w=43\",\"Find(3)=3, Find(4)=0, Add (3,4)=17 Succeeded, w=60\",\"Find(1)=3, Find(5)=3, Add (1,5)=19 Failed, w=60\",\"Find(2)=2, Find(5)=3, Add (2,5)=40 Succeeded, w=100\",\"Find(5)=3, Find(7)=3, Add (5,7)=44 Failed, w=100\",\"Find(0)=3, Find(3)=3, Add (0,3)=45 Failed, w=100\",\"Find(2)=3, Find(3)=3, Add (2,3)=52 Failed, w=100\",\"Find(1)=3, Find(4)=3, Add (1,4)=55 Failed, w=100\",\"Find(3)=3, Find(5)=3, Add (3,5)=58 Failed, w=100\",\"Find(0)=3, Find(2)=3, Add (0,2)=59 Failed, w=100\",\"Find(1)=3, Find(7)=3, Add (1,7)=62 Failed, w=100\",\"Find(3)=3, Find(6)=3, Add (3,6)=65 Failed, w=100\",\"Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=100\",\"Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=100\",\"Find(4)=3, Find(7)=3, Add (4,7)=78 Failed, w=100\",\"Find(6)=3, Find(7)=3, Add (6,7)=85 Failed, w=100\",\"Find(2)=3, Find(6)=3, Add (2,6)=86 Failed, w=100\",\"Find(0)=3, Find(7)=3, Add (0,7)=88 Failed, w=100\",\"Find(1)=3, Find(2)=3, Add (1,2)=94 Failed, w=100\",\"Find(2)=3, Find(7)=3, Add (2,7)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,59],[0,3,45],[0,5,10],[0,6,6],[0,7,88],[1,2,94],[1,3,75],[1,4,55],[1,5,19],[1,6,12],[1,7,62],[2,3,52],[2,4,67],[2,5,40],[2,6,86],[2,7,99],[3,4,17],[3,5,58],[3,6,65],[3,7,7],[4,5,16],[4,6,16],[4,7,78],[5,7,44],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(0,6)=6,(3,7)=7,(0,5)=10,(1,6)=12,(4,5)=16,(4,6)=16,(3,4)=17,(1,5)=19,(2,5)=40,(5,7)=44,(0,3)=45,(2,3)=52,(1,4)=55,(3,5)=58,(0,2)=59,(1,7)=62,(3,6)=65,(2,4)=67,(1,3)=75,(4,7)=78,(6,7)=85,(2,6)=86,(0,7)=88,(1,2)=94,(2,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=7 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(6)=0, Add (1,6)=12 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=4, Find(5)=0, Add (4,5)=16 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=0, Find(6)=0, Add (4,6)=16 Failed, w=43\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 3}, Find(3)=3, Find(4)=0, Add (3,4)=17 Succeeded, w=60\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 0, 5: 3, 6: 0, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=19 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0, 7: 3}, Find(2)=2, Find(5)=3, Add (2,5)=40 Succeeded, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=44 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=45 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=52 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=55 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=58 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=59 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=62 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=65 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=78 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=85 Failed, w=100\",\"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)=86 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=88 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=94 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,67],[0,3,28],[0,5,67],[1,2,69],[1,3,79],[1,4,84],[1,5,84],[2,5,46],[3,4,79],[3,5,16],[4,5,20]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,28],[0,5,67],[1,2,69],[1,3,79],[1,4,84],[1,5,84],[2,5,46],[3,4,79],[3,5,16],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,28],[0,5,67],[1,2,69],[1,3,79],[1,4,84],[1,5,84],[2,5,46],[3,4,79],[3,5,16],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,2)\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,28],[0,5,67],[1,2,69],[1,3,79],[1,4,84],[1,5,84],[2,5,46],[3,4,79],[3,5,16],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16, w=16\",\"Add (4,5)=20, w=36\",\"Add (0,3)=28, w=64\",\"Add (2,5)=46, w=110\",\"Add (1,2)=69, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,28],[0,5,67],[1,2,69],[1,3,79],[1,4,84],[1,5,84],[2,5,46],[3,4,79],[3,5,16],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16 Succeeded, w=16\",\"Add (4,5)=20 Succeeded, w=36\",\"Add (0,3)=28 Succeeded, w=64\",\"Add (2,5)=46 Succeeded, w=110\",\"Add (0,2)=67 Failed, w=110\",\"Add (0,5)=67 Failed, w=110\",\"Add (1,2)=69 Succeeded, w=179\",\"Add (1,3)=79 Failed, w=179\",\"Add (3,4)=79 Failed, w=179\",\"Add (1,4)=84 Failed, w=179\",\"Add (1,5)=84 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,28],[0,5,67],[1,2,69],[1,3,79],[1,4,84],[1,5,84],[2,5,46],[3,4,79],[3,5,16],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(4,5)=20,(0,3)=28,(2,5)=46,(0,2)=67,(0,5)=67,(1,2)=69,(1,3)=79,(3,4)=79,(1,4)=84,(1,5)=84]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=16\",\"Find(4)=4, Find(5)=3, Add (4,5)=20 Succeeded, w=36\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=64\",\"Find(2)=2, Find(5)=3, Add (2,5)=46 Succeeded, w=110\",\"Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=110\",\"Find(0)=3, Find(5)=3, Add (0,5)=67 Failed, w=110\",\"Find(1)=1, Find(2)=3, Add (1,2)=69 Succeeded, w=179\",\"Find(1)=3, Find(3)=3, Add (1,3)=79 Failed, w=179\",\"Find(3)=3, Find(4)=3, Add (3,4)=79 Failed, w=179\",\"Find(1)=3, Find(4)=3, Add (1,4)=84 Failed, w=179\",\"Find(1)=3, Find(5)=3, Add (1,5)=84 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,28],[0,5,67],[1,2,69],[1,3,79],[1,4,84],[1,5,84],[2,5,46],[3,4,79],[3,5,16],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(4,5)=20,(0,3)=28,(2,5)=46,(0,2)=67,(0,5)=67,(1,2)=69,(1,3)=79,(3,4)=79,(1,4)=84,(1,5)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=20 Succeeded, w=36\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=64\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=46 Succeeded, w=110\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=110\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=67 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(2)=3, Add (1,2)=69 Succeeded, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=79 Failed, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=79 Failed, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=84 Failed, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=84 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,79],[0,3,55],[1,2,1],[1,3,45],[2,3,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,55],[1,2,1],[1,3,45],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,55],[1,2,1],[1,3,45],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,55],[1,2,1],[1,3,45],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (1,3)=45, w=46\",\"Add (0,3)=55, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,55],[1,2,1],[1,3,45],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (1,3)=45 Succeeded, w=46\",\"Add (0,3)=55 Succeeded, w=101\",\"Add (2,3)=75 Failed, w=101\",\"Add (0,2)=79 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,55],[1,2,1],[1,3,45],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=45,(0,3)=55,(2,3)=75,(0,2)=79]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=46\",\"Find(0)=0, Find(3)=1, Add (0,3)=55 Succeeded, w=101\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=101\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,55],[1,2,1],[1,3,45],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=45,(0,3)=55,(2,3)=75,(0,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=55 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,90],[0,2,65],[0,3,29],[0,4,37],[0,5,37],[0,6,92],[1,2,93],[1,3,76],[1,4,29],[1,5,36],[1,6,19],[2,3,86],[2,4,27],[2,5,60],[3,4,64],[3,5,10],[3,6,41],[4,5,18],[4,6,84],[5,6,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,65],[0,3,29],[0,4,37],[0,5,37],[0,6,92],[1,2,93],[1,3,76],[1,4,29],[1,5,36],[1,6,19],[2,3,86],[2,4,27],[2,5,60],[3,4,64],[3,5,10],[3,6,41],[4,5,18],[4,6,84],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,65],[0,3,29],[0,4,37],[0,5,37],[0,6,92],[1,2,93],[1,3,76],[1,4,29],[1,5,36],[1,6,19],[2,3,86],[2,4,27],[2,5,60],[3,4,64],[3,5,10],[3,6,41],[4,5,18],[4,6,84],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,65],[0,3,29],[0,4,37],[0,5,37],[0,6,92],[1,2,93],[1,3,76],[1,4,29],[1,5,36],[1,6,19],[2,3,86],[2,4,27],[2,5,60],[3,4,64],[3,5,10],[3,6,41],[4,5,18],[4,6,84],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10, w=10\",\"Add (4,5)=18, w=28\",\"Add (1,6)=19, w=47\",\"Add (2,4)=27, w=74\",\"Add (0,3)=29, w=103\",\"Add (1,4)=29, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,65],[0,3,29],[0,4,37],[0,5,37],[0,6,92],[1,2,93],[1,3,76],[1,4,29],[1,5,36],[1,6,19],[2,3,86],[2,4,27],[2,5,60],[3,4,64],[3,5,10],[3,6,41],[4,5,18],[4,6,84],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10 Succeeded, w=10\",\"Add (4,5)=18 Succeeded, w=28\",\"Add (1,6)=19 Succeeded, w=47\",\"Add (2,4)=27 Succeeded, w=74\",\"Add (0,3)=29 Succeeded, w=103\",\"Add (1,4)=29 Succeeded, w=132\",\"Add (1,5)=36 Failed, w=132\",\"Add (0,4)=37 Failed, w=132\",\"Add (0,5)=37 Failed, w=132\",\"Add (3,6)=41 Failed, w=132\",\"Add (2,5)=60 Failed, w=132\",\"Add (3,4)=64 Failed, w=132\",\"Add (0,2)=65 Failed, w=132\",\"Add (5,6)=72 Failed, w=132\",\"Add (1,3)=76 Failed, w=132\",\"Add (4,6)=84 Failed, w=132\",\"Add (2,3)=86 Failed, w=132\",\"Add (0,1)=90 Failed, w=132\",\"Add (0,6)=92 Failed, w=132\",\"Add (1,2)=93 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,65],[0,3,29],[0,4,37],[0,5,37],[0,6,92],[1,2,93],[1,3,76],[1,4,29],[1,5,36],[1,6,19],[2,3,86],[2,4,27],[2,5,60],[3,4,64],[3,5,10],[3,6,41],[4,5,18],[4,6,84],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(4,5)=18,(1,6)=19,(2,4)=27,(0,3)=29,(1,4)=29,(1,5)=36,(0,4)=37,(0,5)=37,(3,6)=41,(2,5)=60,(3,4)=64,(0,2)=65,(5,6)=72,(1,3)=76,(4,6)=84,(2,3)=86,(0,1)=90,(0,6)=92,(1,2)=93]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Find(4)=4, Find(5)=3, Add (4,5)=18 Succeeded, w=28\",\"Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=47\",\"Find(2)=2, Find(4)=3, Add (2,4)=27 Succeeded, w=74\",\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=103\",\"Find(1)=1, Find(4)=3, Add (1,4)=29 Succeeded, w=132\",\"Find(1)=1, Find(5)=1, Add (1,5)=36 Failed, w=132\",\"Find(0)=1, Find(4)=1, Add (0,4)=37 Failed, w=132\",\"Find(0)=1, Find(5)=1, Add (0,5)=37 Failed, w=132\",\"Find(3)=1, Find(6)=1, Add (3,6)=41 Failed, w=132\",\"Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=132\",\"Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=132\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=132\",\"Find(5)=1, Find(6)=1, Add (5,6)=72 Failed, w=132\",\"Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=132\",\"Find(4)=1, Find(6)=1, Add (4,6)=84 Failed, w=132\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=132\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=132\",\"Find(0)=1, Find(6)=1, Add (0,6)=92 Failed, w=132\",\"Find(1)=1, Find(2)=1, Add (1,2)=93 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,65],[0,3,29],[0,4,37],[0,5,37],[0,6,92],[1,2,93],[1,3,76],[1,4,29],[1,5,36],[1,6,19],[2,3,86],[2,4,27],[2,5,60],[3,4,64],[3,5,10],[3,6,41],[4,5,18],[4,6,84],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(4,5)=18,(1,6)=19,(2,4)=27,(0,3)=29,(1,4)=29,(1,5)=36,(0,4)=37,(0,5)=37,(3,6)=41,(2,5)=60,(3,4)=64,(0,2)=65,(5,6)=72,(1,3)=76,(4,6)=84,(2,3)=86,(0,1)=90,(0,6)=92,(1,2)=93]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=4, Find(5)=3, Add (4,5)=18 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(2)=2, Find(4)=3, Add (2,4)=27 Succeeded, w=74\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=103\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 1, 4: 3, 5: 3, 6: 1}, Find(1)=1, Find(4)=3, Add (1,4)=29 Succeeded, w=132\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=36 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=37 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=37 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=41 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=72 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=84 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=92 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=93 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,53],[0,3,40],[0,4,9],[0,5,31],[1,2,1],[1,3,5],[1,4,52],[1,5,78],[2,4,85],[2,5,74],[3,4,60],[3,5,9],[4,5,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,40],[0,4,9],[0,5,31],[1,2,1],[1,3,5],[1,4,52],[1,5,78],[2,4,85],[2,5,74],[3,4,60],[3,5,9],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,40],[0,4,9],[0,5,31],[1,2,1],[1,3,5],[1,4,52],[1,5,78],[2,4,85],[2,5,74],[3,4,60],[3,5,9],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,40],[0,4,9],[0,5,31],[1,2,1],[1,3,5],[1,4,52],[1,5,78],[2,4,85],[2,5,74],[3,4,60],[3,5,9],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (1,3)=5, w=6\",\"Add (0,4)=9, w=15\",\"Add (3,5)=9, w=24\",\"Add (4,5)=25, w=49\"],\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,40],[0,4,9],[0,5,31],[1,2,1],[1,3,5],[1,4,52],[1,5,78],[2,4,85],[2,5,74],[3,4,60],[3,5,9],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (1,3)=5 Succeeded, w=6\",\"Add (0,4)=9 Succeeded, w=15\",\"Add (3,5)=9 Succeeded, w=24\",\"Add (4,5)=25 Succeeded, w=49\",\"Add (0,5)=31 Failed, w=49\",\"Add (0,3)=40 Failed, w=49\",\"Add (1,4)=52 Failed, w=49\",\"Add (0,1)=53 Failed, w=49\",\"Add (3,4)=60 Failed, w=49\",\"Add (2,5)=74 Failed, w=49\",\"Add (1,5)=78 Failed, w=49\",\"Add (2,4)=85 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,40],[0,4,9],[0,5,31],[1,2,1],[1,3,5],[1,4,52],[1,5,78],[2,4,85],[2,5,74],[3,4,60],[3,5,9],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=5,(0,4)=9,(3,5)=9,(4,5)=25,(0,5)=31,(0,3)=40,(1,4)=52,(0,1)=53,(3,4)=60,(2,5)=74,(1,5)=78,(2,4)=85]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=6\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=15\",\"Find(3)=1, Find(5)=5, Add (3,5)=9 Succeeded, w=24\",\"Find(4)=0, Find(5)=1, Add (4,5)=25 Succeeded, w=49\",\"Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=49\",\"Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=49\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=49\",\"Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=49\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=49\",\"Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=49\",\"Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=49\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,40],[0,4,9],[0,5,31],[1,2,1],[1,3,5],[1,4,52],[1,5,78],[2,4,85],[2,5,74],[3,4,60],[3,5,9],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=5,(0,4)=9,(3,5)=9,(4,5)=25,(0,5)=31,(0,3)=40,(1,4)=52,(0,1)=53,(3,4)=60,(2,5)=74,(1,5)=78,(2,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=9 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 1}, Find(4)=0, Find(5)=1, Add (4,5)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,2],[0,2,46],[0,4,40],[0,5,6],[1,2,0],[1,3,47],[1,4,91],[1,5,42],[2,3,11],[2,4,89],[2,5,34],[3,4,31],[3,5,61],[4,5,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,46],[0,4,40],[0,5,6],[1,2,0],[1,3,47],[1,4,91],[1,5,42],[2,3,11],[2,4,89],[2,5,34],[3,4,31],[3,5,61],[4,5,81]]}",
"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\":[[0,1,2],[0,2,46],[0,4,40],[0,5,6],[1,2,0],[1,3,47],[1,4,91],[1,5,42],[2,3,11],[2,4,89],[2,5,34],[3,4,31],[3,5,61],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,46],[0,4,40],[0,5,6],[1,2,0],[1,3,47],[1,4,91],[1,5,42],[2,3,11],[2,4,89],[2,5,34],[3,4,31],[3,5,61],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,1)=2, w=2\",\"Add (0,5)=6, w=8\",\"Add (2,3)=11, w=19\",\"Add (3,4)=31, 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\":[[0,1,2],[0,2,46],[0,4,40],[0,5,6],[1,2,0],[1,3,47],[1,4,91],[1,5,42],[2,3,11],[2,4,89],[2,5,34],[3,4,31],[3,5,61],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,5)=6 Succeeded, w=8\",\"Add (2,3)=11 Succeeded, w=19\",\"Add (3,4)=31 Succeeded, w=50\",\"Add (2,5)=34 Failed, w=50\",\"Add (0,4)=40 Failed, w=50\",\"Add (1,5)=42 Failed, w=50\",\"Add (0,2)=46 Failed, w=50\",\"Add (1,3)=47 Failed, w=50\",\"Add (3,5)=61 Failed, w=50\",\"Add (4,5)=81 Failed, w=50\",\"Add (2,4)=89 Failed, w=50\",\"Add (1,4)=91 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\":[[0,1,2],[0,2,46],[0,4,40],[0,5,6],[1,2,0],[1,3,47],[1,4,91],[1,5,42],[2,3,11],[2,4,89],[2,5,34],[3,4,31],[3,5,61],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,1)=2,(0,5)=6,(2,3)=11,(3,4)=31,(2,5)=34,(0,4)=40,(1,5)=42,(0,2)=46,(1,3)=47,(3,5)=61,(4,5)=81,(2,4)=89,(1,4)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=1, Find(5)=5, Add (0,5)=6 Succeeded, w=8\",\"Find(2)=1, Find(3)=3, Add (2,3)=11 Succeeded, w=19\",\"Find(3)=1, Find(4)=4, Add (3,4)=31 Succeeded, w=50\",\"Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=50\",\"Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=50\",\"Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=50\",\"Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=50\",\"Find(1)=1, Find(3)=1, Add (1,3)=47 Failed, w=50\",\"Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=50\",\"Find(4)=1, Find(5)=1, Add (4,5)=81 Failed, w=50\",\"Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=50\",\"Find(1)=1, Find(4)=1, Add (1,4)=91 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\":[[0,1,2],[0,2,46],[0,4,40],[0,5,6],[1,2,0],[1,3,47],[1,4,91],[1,5,42],[2,3,11],[2,4,89],[2,5,34],[3,4,31],[3,5,61],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,1)=2,(0,5)=6,(2,3)=11,(3,4)=31,(2,5)=34,(0,4)=40,(1,5)=42,(0,2)=46,(1,3)=47,(3,5)=61,(4,5)=81,(2,4)=89,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=6 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=1, Find(3)=3, Add (2,3)=11 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=4, Add (3,4)=31 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=47 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=81 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=91 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=48, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=48 Succeeded, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=48]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=48]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,2,87],[2,3,12],[2,4,82],[3,4,8]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,87],[2,3,12],[2,4,82],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,87],[2,3,12],[2,4,82],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,87],[2,3,12],[2,4,82],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (2,3)=12, w=20\",\"Add (0,2)=87, w=107\",\"Add (0,1)=96, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,87],[2,3,12],[2,4,82],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (2,3)=12 Succeeded, w=20\",\"Add (2,4)=82 Failed, w=20\",\"Add (0,2)=87 Succeeded, w=107\",\"Add (0,1)=96 Succeeded, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,87],[2,3,12],[2,4,82],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(2,3)=12,(2,4)=82,(0,2)=87,(0,1)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=20\",\"Find(2)=3, Find(4)=3, Add (2,4)=82 Failed, w=20\",\"Find(0)=0, Find(2)=3, Add (0,2)=87 Succeeded, w=107\",\"Find(0)=3, Find(1)=1, Add (0,1)=96 Succeeded, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,87],[2,3,12],[2,4,82],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(2,3)=12,(2,4)=82,(0,2)=87,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=82 Failed, w=20\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(2)=3, Add (0,2)=87 Succeeded, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=96 Succeeded, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,79],[0,4,12],[1,3,30],[1,4,5],[2,3,23],[2,4,20],[3,4,6]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,79],[0,4,12],[1,3,30],[1,4,5],[2,3,23],[2,4,20],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,79],[0,4,12],[1,3,30],[1,4,5],[2,3,23],[2,4,20],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,79],[0,4,12],[1,3,30],[1,4,5],[2,3,23],[2,4,20],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (3,4)=6, w=11\",\"Add (0,4)=12, w=23\",\"Add (2,4)=20, w=43\"],\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,79],[0,4,12],[1,3,30],[1,4,5],[2,3,23],[2,4,20],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (3,4)=6 Succeeded, w=11\",\"Add (0,4)=12 Succeeded, w=23\",\"Add (2,4)=20 Succeeded, w=43\",\"Add (2,3)=23 Failed, w=43\",\"Add (1,3)=30 Failed, w=43\",\"Add (0,3)=79 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,79],[0,4,12],[1,3,30],[1,4,5],[2,3,23],[2,4,20],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(3,4)=6,(0,4)=12,(2,4)=20,(2,3)=23,(1,3)=30,(0,3)=79]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=1, Add (3,4)=6 Succeeded, w=11\",\"Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=23\",\"Find(2)=2, Find(4)=1, Add (2,4)=20 Succeeded, w=43\",\"Find(2)=1, Find(3)=1, Add (2,3)=23 Failed, w=43\",\"Find(1)=1, Find(3)=1, Add (1,3)=30 Failed, w=43\",\"Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,79],[0,4,12],[1,3,30],[1,4,5],[2,3,23],[2,4,20],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(3,4)=6,(0,4)=12,(2,4)=20,(2,3)=23,(1,3)=30,(0,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=6 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=20 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=23 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=30 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,2,31],[0,3,75],[1,2,26],[1,3,39],[2,3,99]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,31],[0,3,75],[1,2,26],[1,3,39],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,31],[0,3,75],[1,2,26],[1,3,39],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,31],[0,3,75],[1,2,26],[1,3,39],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=26, w=26\",\"Add (0,2)=31, w=57\",\"Add (1,3)=39, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,31],[0,3,75],[1,2,26],[1,3,39],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=26 Succeeded, w=26\",\"Add (0,2)=31 Succeeded, w=57\",\"Add (1,3)=39 Succeeded, w=96\",\"Add (0,1)=62 Failed, w=96\",\"Add (0,3)=75 Failed, w=96\",\"Add (2,3)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,31],[0,3,75],[1,2,26],[1,3,39],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=26,(0,2)=31,(1,3)=39,(0,1)=62,(0,3)=75,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=26\",\"Find(0)=0, Find(2)=1, Add (0,2)=31 Succeeded, w=57\",\"Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=96\",\"Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=96\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=96\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,31],[0,3,75],[1,2,26],[1,3,39],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=26,(0,2)=31,(1,3)=39,(0,1)=62,(0,3)=75,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=31 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,91],[0,3,29],[0,4,97],[1,2,81],[1,3,88],[1,4,91],[2,3,40],[2,4,59]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,91],[0,3,29],[0,4,97],[1,2,81],[1,3,88],[1,4,91],[2,3,40],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,91],[0,3,29],[0,4,97],[1,2,81],[1,3,88],[1,4,91],[2,3,40],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,91],[0,3,29],[0,4,97],[1,2,81],[1,3,88],[1,4,91],[2,3,40],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=29, w=29\",\"Add (0,1)=33, w=62\",\"Add (2,3)=40, w=102\",\"Add (2,4)=59, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,91],[0,3,29],[0,4,97],[1,2,81],[1,3,88],[1,4,91],[2,3,40],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=29 Succeeded, w=29\",\"Add (0,1)=33 Succeeded, w=62\",\"Add (2,3)=40 Succeeded, w=102\",\"Add (2,4)=59 Succeeded, w=161\",\"Add (1,2)=81 Failed, w=161\",\"Add (1,3)=88 Failed, w=161\",\"Add (0,2)=91 Failed, w=161\",\"Add (1,4)=91 Failed, w=161\",\"Add (0,4)=97 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,91],[0,3,29],[0,4,97],[1,2,81],[1,3,88],[1,4,91],[2,3,40],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=29,(0,1)=33,(2,3)=40,(2,4)=59,(1,2)=81,(1,3)=88,(0,2)=91,(1,4)=91,(0,4)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=62\",\"Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=102\",\"Find(2)=0, Find(4)=4, Add (2,4)=59 Succeeded, w=161\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=161\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=161\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=161\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=161\",\"Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,91],[0,3,29],[0,4,97],[1,2,81],[1,3,88],[1,4,91],[2,3,40],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=29,(0,1)=33,(2,3)=40,(2,4)=59,(1,2)=81,(1,3)=88,(0,2)=91,(1,4)=91,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=59 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,11],[0,3,30],[0,4,4],[0,5,6],[0,6,74],[1,2,51],[1,4,68],[1,5,55],[1,6,19],[1,7,41],[2,6,67],[2,7,36],[3,4,9],[3,5,28],[3,6,48],[3,7,53],[4,5,90],[4,6,77],[4,7,68],[5,6,20],[5,7,58]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,30],[0,4,4],[0,5,6],[0,6,74],[1,2,51],[1,4,68],[1,5,55],[1,6,19],[1,7,41],[2,6,67],[2,7,36],[3,4,9],[3,5,28],[3,6,48],[3,7,53],[4,5,90],[4,6,77],[4,7,68],[5,6,20],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,30],[0,4,4],[0,5,6],[0,6,74],[1,2,51],[1,4,68],[1,5,55],[1,6,19],[1,7,41],[2,6,67],[2,7,36],[3,4,9],[3,5,28],[3,6,48],[3,7,53],[4,5,90],[4,6,77],[4,7,68],[5,6,20],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (5,6)\",\"Add (2,7)\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,30],[0,4,4],[0,5,6],[0,6,74],[1,2,51],[1,4,68],[1,5,55],[1,6,19],[1,7,41],[2,6,67],[2,7,36],[3,4,9],[3,5,28],[3,6,48],[3,7,53],[4,5,90],[4,6,77],[4,7,68],[5,6,20],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (0,5)=6, w=10\",\"Add (3,4)=9, w=19\",\"Add (0,2)=11, w=30\",\"Add (1,6)=19, w=49\",\"Add (5,6)=20, w=69\",\"Add (2,7)=36, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,30],[0,4,4],[0,5,6],[0,6,74],[1,2,51],[1,4,68],[1,5,55],[1,6,19],[1,7,41],[2,6,67],[2,7,36],[3,4,9],[3,5,28],[3,6,48],[3,7,53],[4,5,90],[4,6,77],[4,7,68],[5,6,20],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (0,5)=6 Succeeded, w=10\",\"Add (3,4)=9 Succeeded, w=19\",\"Add (0,2)=11 Succeeded, w=30\",\"Add (1,6)=19 Succeeded, w=49\",\"Add (5,6)=20 Succeeded, w=69\",\"Add (3,5)=28 Failed, w=69\",\"Add (0,3)=30 Failed, w=69\",\"Add (2,7)=36 Succeeded, w=105\",\"Add (1,7)=41 Failed, w=105\",\"Add (3,6)=48 Failed, w=105\",\"Add (1,2)=51 Failed, w=105\",\"Add (3,7)=53 Failed, w=105\",\"Add (1,5)=55 Failed, w=105\",\"Add (5,7)=58 Failed, w=105\",\"Add (2,6)=67 Failed, w=105\",\"Add (1,4)=68 Failed, w=105\",\"Add (4,7)=68 Failed, w=105\",\"Add (0,6)=74 Failed, w=105\",\"Add (4,6)=77 Failed, w=105\",\"Add (4,5)=90 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,30],[0,4,4],[0,5,6],[0,6,74],[1,2,51],[1,4,68],[1,5,55],[1,6,19],[1,7,41],[2,6,67],[2,7,36],[3,4,9],[3,5,28],[3,6,48],[3,7,53],[4,5,90],[4,6,77],[4,7,68],[5,6,20],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(0,5)=6,(3,4)=9,(0,2)=11,(1,6)=19,(5,6)=20,(3,5)=28,(0,3)=30,(2,7)=36,(1,7)=41,(3,6)=48,(1,2)=51,(3,7)=53,(1,5)=55,(5,7)=58,(2,6)=67,(1,4)=68,(4,7)=68,(0,6)=74,(4,6)=77,(4,5)=90]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=10\",\"Find(3)=3, Find(4)=0, Add (3,4)=9 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=30\",\"Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=49\",\"Find(5)=0, Find(6)=1, Add (5,6)=20 Succeeded, w=69\",\"Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=69\",\"Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=69\",\"Find(2)=0, Find(7)=7, Add (2,7)=36 Succeeded, w=105\",\"Find(1)=0, Find(7)=0, Add (1,7)=41 Failed, w=105\",\"Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=105\",\"Find(3)=0, Find(7)=0, Add (3,7)=53 Failed, w=105\",\"Find(1)=0, Find(5)=0, Add (1,5)=55 Failed, w=105\",\"Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=105\",\"Find(2)=0, Find(6)=0, Add (2,6)=67 Failed, w=105\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=105\",\"Find(4)=0, Find(7)=0, Add (4,7)=68 Failed, w=105\",\"Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=105\",\"Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=105\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,30],[0,4,4],[0,5,6],[0,6,74],[1,2,51],[1,4,68],[1,5,55],[1,6,19],[1,7,41],[2,6,67],[2,7,36],[3,4,9],[3,5,28],[3,6,48],[3,7,53],[4,5,90],[4,6,77],[4,7,68],[5,6,20],[5,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(0,5)=6,(3,4)=9,(0,2)=11,(1,6)=19,(5,6)=20,(3,5)=28,(0,3)=30,(2,7)=36,(1,7)=41,(3,6)=48,(1,2)=51,(3,7)=53,(1,5)=55,(5,7)=58,(2,6)=67,(1,4)=68,(4,7)=68,(0,6)=74,(4,6)=77,(4,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(3)=3, Find(4)=0, Add (3,4)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 7}, Find(5)=0, Find(6)=1, Add (5,6)=20 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 7}, Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=36 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=41 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=105\",\"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)=53 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=55 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=67 Failed, w=105\",\"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)=68 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=68 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,95],[0,2,41],[1,2,73],[2,3,19]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,41],[1,2,73],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,41],[1,2,73],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,41],[1,2,73],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=19, w=19\",\"Add (0,2)=41, w=60\",\"Add (1,2)=73, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,41],[1,2,73],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=19 Succeeded, w=19\",\"Add (0,2)=41 Succeeded, w=60\",\"Add (1,2)=73 Succeeded, w=133\",\"Add (0,1)=95 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,41],[1,2,73],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=19,(0,2)=41,(1,2)=73,(0,1)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=73 Succeeded, w=133\",\"Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,41],[1,2,73],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=19,(0,2)=41,(1,2)=73,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=73 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,43],[0,3,65],[0,4,46],[0,5,47],[1,2,6],[1,4,13],[2,3,54],[2,4,28],[2,5,67],[3,5,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,65],[0,4,46],[0,5,47],[1,2,6],[1,4,13],[2,3,54],[2,4,28],[2,5,67],[3,5,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,65],[0,4,46],[0,5,47],[1,2,6],[1,4,13],[2,3,54],[2,4,28],[2,5,67],[3,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,65],[0,4,46],[0,5,47],[1,2,6],[1,4,13],[2,3,54],[2,4,28],[2,5,67],[3,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (1,4)=13, w=19\",\"Add (0,1)=43, w=62\",\"Add (0,5)=47, w=109\",\"Add (2,3)=54, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,65],[0,4,46],[0,5,47],[1,2,6],[1,4,13],[2,3,54],[2,4,28],[2,5,67],[3,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (1,4)=13 Succeeded, w=19\",\"Add (2,4)=28 Failed, w=19\",\"Add (0,1)=43 Succeeded, w=62\",\"Add (0,4)=46 Failed, w=62\",\"Add (0,5)=47 Succeeded, w=109\",\"Add (2,3)=54 Succeeded, w=163\",\"Add (0,3)=65 Failed, w=163\",\"Add (2,5)=67 Failed, w=163\",\"Add (3,5)=88 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,65],[0,4,46],[0,5,47],[1,2,6],[1,4,13],[2,3,54],[2,4,28],[2,5,67],[3,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,4)=13,(2,4)=28,(0,1)=43,(0,4)=46,(0,5)=47,(2,3)=54,(0,3)=65,(2,5)=67,(3,5)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=19\",\"Find(2)=1, Find(4)=1, Add (2,4)=28 Failed, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=62\",\"Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=62\",\"Find(0)=1, Find(5)=5, Add (0,5)=47 Succeeded, w=109\",\"Find(2)=1, Find(3)=3, Add (2,3)=54 Succeeded, w=163\",\"Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=163\",\"Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=163\",\"Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,65],[0,4,46],[0,5,47],[1,2,6],[1,4,13],[2,3,54],[2,4,28],[2,5,67],[3,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,4)=13,(2,4)=28,(0,1)=43,(0,4)=46,(0,5)=47,(2,3)=54,(0,3)=65,(2,5)=67,(3,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=1, Find(4)=1, Add (2,4)=28 Failed, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=47 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=3, Add (2,3)=54 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,2,98],[0,3,34],[1,2,55],[1,3,91],[2,3,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,98],[0,3,34],[1,2,55],[1,3,91],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,98],[0,3,34],[1,2,55],[1,3,91],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,98],[0,3,34],[1,2,55],[1,3,91],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=31, w=31\",\"Add (0,3)=34, w=65\",\"Add (1,2)=55, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,98],[0,3,34],[1,2,55],[1,3,91],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=31 Succeeded, w=31\",\"Add (0,3)=34 Succeeded, w=65\",\"Add (1,2)=55 Succeeded, w=120\",\"Add (0,1)=70 Failed, w=120\",\"Add (1,3)=91 Failed, w=120\",\"Add (0,2)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,98],[0,3,34],[1,2,55],[1,3,91],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=31,(0,3)=34,(1,2)=55,(0,1)=70,(1,3)=91,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=31\",\"Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=65\",\"Find(1)=1, Find(2)=2, Add (1,2)=55 Succeeded, w=120\",\"Find(0)=2, Find(1)=2, Add (0,1)=70 Failed, w=120\",\"Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=120\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,98],[0,3,34],[1,2,55],[1,3,91],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=31,(0,3)=34,(1,2)=55,(0,1)=70,(1,3)=91,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=55 Succeeded, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=70 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,4,46],[2,3,89],[2,4,81],[2,5,37],[3,4,21],[4,5,24]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,4,46],[2,3,89],[2,4,81],[2,5,37],[3,4,21],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,4,46],[2,3,89],[2,4,81],[2,5,37],[3,4,21],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,4,46],[2,3,89],[2,4,81],[2,5,37],[3,4,21],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21, w=21\",\"Add (4,5)=24, w=45\",\"Add (2,5)=37, w=82\",\"Add (0,4)=46, w=128\",\"Add (0,1)=61, w=189\"],\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,4,46],[2,3,89],[2,4,81],[2,5,37],[3,4,21],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21 Succeeded, w=21\",\"Add (4,5)=24 Succeeded, w=45\",\"Add (2,5)=37 Succeeded, w=82\",\"Add (0,4)=46 Succeeded, w=128\",\"Add (0,1)=61 Succeeded, w=189\",\"Add (2,4)=81 Failed, w=189\",\"Add (2,3)=89 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,4,46],[2,3,89],[2,4,81],[2,5,37],[3,4,21],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(4,5)=24,(2,5)=37,(0,4)=46,(0,1)=61,(2,4)=81,(2,3)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Find(4)=3, Find(5)=5, Add (4,5)=24 Succeeded, w=45\",\"Find(2)=2, Find(5)=3, Add (2,5)=37 Succeeded, w=82\",\"Find(0)=0, Find(4)=3, Add (0,4)=46 Succeeded, w=128\",\"Find(0)=3, Find(1)=1, Add (0,1)=61 Succeeded, w=189\",\"Find(2)=3, Find(4)=3, Add (2,4)=81 Failed, w=189\",\"Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,4,46],[2,3,89],[2,4,81],[2,5,37],[3,4,21],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(4,5)=24,(2,5)=37,(0,4)=46,(0,1)=61,(2,4)=81,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=5, Add (4,5)=24 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=37 Succeeded, w=82\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(4)=3, Add (0,4)=46 Succeeded, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=1, Add (0,1)=61 Succeeded, w=189\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=81 Failed, w=189\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,1],[0,2,6],[0,3,71],[1,2,49],[1,3,76],[2,3,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,6],[0,3,71],[1,2,49],[1,3,76],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,6],[0,3,71],[1,2,49],[1,3,76],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,6],[0,3,71],[1,2,49],[1,3,76],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (0,2)=6, w=7\",\"Add (2,3)=63, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,6],[0,3,71],[1,2,49],[1,3,76],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,2)=6 Succeeded, w=7\",\"Add (1,2)=49 Failed, w=7\",\"Add (2,3)=63 Succeeded, w=70\",\"Add (0,3)=71 Failed, w=70\",\"Add (1,3)=76 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,6],[0,3,71],[1,2,49],[1,3,76],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,2)=6,(1,2)=49,(2,3)=63,(0,3)=71,(1,3)=76]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=7\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=7\",\"Find(2)=0, Find(3)=3, Add (2,3)=63 Succeeded, w=70\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=70\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,6],[0,3,71],[1,2,49],[1,3,76],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,2)=6,(1,2)=49,(2,3)=63,(0,3)=71,(1,3)=76]\",\"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(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=63 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,56],[0,3,88],[0,4,58],[0,5,14],[0,6,58],[0,7,98],[1,3,13],[1,4,41],[1,5,42],[1,6,47],[2,4,87],[2,5,42],[2,7,13],[3,5,71],[3,6,22],[3,7,35],[4,5,53],[4,6,32],[4,7,18],[6,7,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,56],[0,3,88],[0,4,58],[0,5,14],[0,6,58],[0,7,98],[1,3,13],[1,4,41],[1,5,42],[1,6,47],[2,4,87],[2,5,42],[2,7,13],[3,5,71],[3,6,22],[3,7,35],[4,5,53],[4,6,32],[4,7,18],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,56],[0,3,88],[0,4,58],[0,5,14],[0,6,58],[0,7,98],[1,3,13],[1,4,41],[1,5,42],[1,6,47],[2,4,87],[2,5,42],[2,7,13],[3,5,71],[3,6,22],[3,7,35],[4,5,53],[4,6,32],[4,7,18],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,7)\",\"Add (0,5)\",\"Add (4,7)\",\"Add (3,6)\",\"Add (6,7)\",\"Add (1,5)\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,56],[0,3,88],[0,4,58],[0,5,14],[0,6,58],[0,7,98],[1,3,13],[1,4,41],[1,5,42],[1,6,47],[2,4,87],[2,5,42],[2,7,13],[3,5,71],[3,6,22],[3,7,35],[4,5,53],[4,6,32],[4,7,18],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13, w=13\",\"Add (2,7)=13, w=26\",\"Add (0,5)=14, w=40\",\"Add (4,7)=18, w=58\",\"Add (3,6)=22, w=80\",\"Add (6,7)=31, w=111\",\"Add (1,5)=42, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,56],[0,3,88],[0,4,58],[0,5,14],[0,6,58],[0,7,98],[1,3,13],[1,4,41],[1,5,42],[1,6,47],[2,4,87],[2,5,42],[2,7,13],[3,5,71],[3,6,22],[3,7,35],[4,5,53],[4,6,32],[4,7,18],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13 Succeeded, w=13\",\"Add (2,7)=13 Succeeded, w=26\",\"Add (0,5)=14 Succeeded, w=40\",\"Add (4,7)=18 Succeeded, w=58\",\"Add (3,6)=22 Succeeded, w=80\",\"Add (6,7)=31 Succeeded, w=111\",\"Add (4,6)=32 Failed, w=111\",\"Add (3,7)=35 Failed, w=111\",\"Add (1,4)=41 Failed, w=111\",\"Add (1,5)=42 Succeeded, w=153\",\"Add (2,5)=42 Failed, w=153\",\"Add (1,6)=47 Failed, w=153\",\"Add (4,5)=53 Failed, w=153\",\"Add (0,2)=56 Failed, w=153\",\"Add (0,4)=58 Failed, w=153\",\"Add (0,6)=58 Failed, w=153\",\"Add (3,5)=71 Failed, w=153\",\"Add (2,4)=87 Failed, w=153\",\"Add (0,3)=88 Failed, w=153\",\"Add (0,7)=98 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,56],[0,3,88],[0,4,58],[0,5,14],[0,6,58],[0,7,98],[1,3,13],[1,4,41],[1,5,42],[1,6,47],[2,4,87],[2,5,42],[2,7,13],[3,5,71],[3,6,22],[3,7,35],[4,5,53],[4,6,32],[4,7,18],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(2,7)=13,(0,5)=14,(4,7)=18,(3,6)=22,(6,7)=31,(4,6)=32,(3,7)=35,(1,4)=41,(1,5)=42,(2,5)=42,(1,6)=47,(4,5)=53,(0,2)=56,(0,4)=58,(0,6)=58,(3,5)=71,(2,4)=87,(0,3)=88,(0,7)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Find(2)=2, Find(7)=7, Add (2,7)=13 Succeeded, w=26\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=40\",\"Find(4)=4, Find(7)=2, Add (4,7)=18 Succeeded, w=58\",\"Find(3)=1, Find(6)=6, Add (3,6)=22 Succeeded, w=80\",\"Find(6)=1, Find(7)=2, Add (6,7)=31 Succeeded, w=111\",\"Find(4)=1, Find(6)=1, Add (4,6)=32 Failed, w=111\",\"Find(3)=1, Find(7)=1, Add (3,7)=35 Failed, w=111\",\"Find(1)=1, Find(4)=1, Add (1,4)=41 Failed, w=111\",\"Find(1)=1, Find(5)=0, Add (1,5)=42 Succeeded, w=153\",\"Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=153\",\"Find(1)=1, Find(6)=1, Add (1,6)=47 Failed, w=153\",\"Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=153\",\"Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=153\",\"Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=153\",\"Find(0)=1, Find(6)=1, Add (0,6)=58 Failed, w=153\",\"Find(3)=1, Find(5)=1, Add (3,5)=71 Failed, w=153\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=153\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=153\",\"Find(0)=1, Find(7)=1, Add (0,7)=98 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,56],[0,3,88],[0,4,58],[0,5,14],[0,6,58],[0,7,98],[1,3,13],[1,4,41],[1,5,42],[1,6,47],[2,4,87],[2,5,42],[2,7,13],[3,5,71],[3,6,22],[3,7,35],[4,5,53],[4,6,32],[4,7,18],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(2,7)=13,(0,5)=14,(4,7)=18,(3,6)=22,(6,7)=31,(4,6)=32,(3,7)=35,(1,4)=41,(1,5)=42,(2,5)=42,(1,6)=47,(4,5)=53,(0,2)=56,(0,4)=58,(0,6)=58,(3,5)=71,(2,4)=87,(0,3)=88,(0,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6, 7: 2}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 0, 6: 6, 7: 2}, Find(4)=4, Find(7)=2, Add (4,7)=18 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 0, 6: 1, 7: 2}, Find(3)=1, Find(6)=6, Add (3,6)=22 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 0, 6: 1, 7: 2}, Find(6)=1, Find(7)=2, Add (6,7)=31 Succeeded, w=111\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 2}, Find(4)=1, Find(6)=1, Add (4,6)=32 Failed, w=111\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=35 Failed, w=111\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=41 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(1)=1, Find(5)=0, Add (1,5)=42 Succeeded, w=153\",\"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)=42 Failed, w=153\",\"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)=47 Failed, w=153\",\"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)=53 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=153\",\"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)=58 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=58 Failed, w=153\",\"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)=71 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=153\",\"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)=88 Failed, w=153\",\"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)=98 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,85],[0,2,54],[0,3,82],[0,5,62],[1,2,39],[1,3,40],[1,4,20],[1,5,1],[2,3,40],[2,4,86],[2,5,45],[3,4,82],[3,6,31],[4,5,44],[4,6,39]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,54],[0,3,82],[0,5,62],[1,2,39],[1,3,40],[1,4,20],[1,5,1],[2,3,40],[2,4,86],[2,5,45],[3,4,82],[3,6,31],[4,5,44],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,54],[0,3,82],[0,5,62],[1,2,39],[1,3,40],[1,4,20],[1,5,1],[2,3,40],[2,4,86],[2,5,45],[3,4,82],[3,6,31],[4,5,44],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (0,2)\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,54],[0,3,82],[0,5,62],[1,2,39],[1,3,40],[1,4,20],[1,5,1],[2,3,40],[2,4,86],[2,5,45],[3,4,82],[3,6,31],[4,5,44],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (1,4)=20, w=21\",\"Add (3,6)=31, w=52\",\"Add (1,2)=39, w=91\",\"Add (4,6)=39, w=130\",\"Add (0,2)=54, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,54],[0,3,82],[0,5,62],[1,2,39],[1,3,40],[1,4,20],[1,5,1],[2,3,40],[2,4,86],[2,5,45],[3,4,82],[3,6,31],[4,5,44],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (1,4)=20 Succeeded, w=21\",\"Add (3,6)=31 Succeeded, w=52\",\"Add (1,2)=39 Succeeded, w=91\",\"Add (4,6)=39 Succeeded, w=130\",\"Add (1,3)=40 Failed, w=130\",\"Add (2,3)=40 Failed, w=130\",\"Add (4,5)=44 Failed, w=130\",\"Add (2,5)=45 Failed, w=130\",\"Add (0,2)=54 Succeeded, w=184\",\"Add (0,5)=62 Failed, w=184\",\"Add (0,3)=82 Failed, w=184\",\"Add (3,4)=82 Failed, w=184\",\"Add (0,1)=85 Failed, w=184\",\"Add (2,4)=86 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,54],[0,3,82],[0,5,62],[1,2,39],[1,3,40],[1,4,20],[1,5,1],[2,3,40],[2,4,86],[2,5,45],[3,4,82],[3,6,31],[4,5,44],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(1,4)=20,(3,6)=31,(1,2)=39,(4,6)=39,(1,3)=40,(2,3)=40,(4,5)=44,(2,5)=45,(0,2)=54,(0,5)=62,(0,3)=82,(3,4)=82,(0,1)=85,(2,4)=86]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=21\",\"Find(3)=3, Find(6)=6, Add (3,6)=31 Succeeded, w=52\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=91\",\"Find(4)=1, Find(6)=3, Add (4,6)=39 Succeeded, w=130\",\"Find(1)=1, Find(3)=1, Add (1,3)=40 Failed, w=130\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=130\",\"Find(4)=1, Find(5)=1, Add (4,5)=44 Failed, w=130\",\"Find(2)=1, Find(5)=1, Add (2,5)=45 Failed, w=130\",\"Find(0)=0, Find(2)=1, Add (0,2)=54 Succeeded, w=184\",\"Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=184\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=184\",\"Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=184\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=184\",\"Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,54],[0,3,82],[0,5,62],[1,2,39],[1,3,40],[1,4,20],[1,5,1],[2,3,40],[2,4,86],[2,5,45],[3,4,82],[3,6,31],[4,5,44],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(1,4)=20,(3,6)=31,(1,2)=39,(4,6)=39,(1,3)=40,(2,3)=40,(4,5)=44,(2,5)=45,(0,2)=54,(0,5)=62,(0,3)=82,(3,4)=82,(0,1)=85,(2,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=31 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(4)=1, Find(6)=3, Add (4,6)=39 Succeeded, w=130\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(3)=1, Add (1,3)=40 Failed, w=130\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=130\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(4)=1, Find(5)=1, Add (4,5)=44 Failed, w=130\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(5)=1, Add (2,5)=45 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=0, Find(2)=1, Add (0,2)=54 Succeeded, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,4],[0,2,80],[0,3,57],[0,4,27],[1,2,45],[1,3,57],[1,4,18],[1,5,71],[1,6,99],[2,6,38],[4,5,87],[5,6,60]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,80],[0,3,57],[0,4,27],[1,2,45],[1,3,57],[1,4,18],[1,5,71],[1,6,99],[2,6,38],[4,5,87],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,80],[0,3,57],[0,4,27],[1,2,45],[1,3,57],[1,4,18],[1,5,71],[1,6,99],[2,6,38],[4,5,87],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (5,6)\"],\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,80],[0,3,57],[0,4,27],[1,2,45],[1,3,57],[1,4,18],[1,5,71],[1,6,99],[2,6,38],[4,5,87],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (1,4)=18, w=22\",\"Add (2,6)=38, w=60\",\"Add (1,2)=45, w=105\",\"Add (0,3)=57, w=162\",\"Add (5,6)=60, w=222\"],\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,80],[0,3,57],[0,4,27],[1,2,45],[1,3,57],[1,4,18],[1,5,71],[1,6,99],[2,6,38],[4,5,87],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (1,4)=18 Succeeded, w=22\",\"Add (0,4)=27 Failed, w=22\",\"Add (2,6)=38 Succeeded, w=60\",\"Add (1,2)=45 Succeeded, w=105\",\"Add (0,3)=57 Succeeded, w=162\",\"Add (1,3)=57 Failed, w=162\",\"Add (5,6)=60 Succeeded, w=222\",\"Add (1,5)=71 Failed, w=222\",\"Add (0,2)=80 Failed, w=222\",\"Add (4,5)=87 Failed, w=222\",\"Add (1,6)=99 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,80],[0,3,57],[0,4,27],[1,2,45],[1,3,57],[1,4,18],[1,5,71],[1,6,99],[2,6,38],[4,5,87],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,4)=18,(0,4)=27,(2,6)=38,(1,2)=45,(0,3)=57,(1,3)=57,(5,6)=60,(1,5)=71,(0,2)=80,(4,5)=87,(1,6)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=22\",\"Find(0)=0, Find(4)=0, Add (0,4)=27 Failed, w=22\",\"Find(2)=2, Find(6)=6, Add (2,6)=38 Succeeded, w=60\",\"Find(1)=0, Find(2)=2, Add (1,2)=45 Succeeded, w=105\",\"Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=162\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=162\",\"Find(5)=5, Find(6)=0, Add (5,6)=60 Succeeded, w=222\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=222\",\"Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=222\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=222\",\"Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,80],[0,3,57],[0,4,27],[1,2,45],[1,3,57],[1,4,18],[1,5,71],[1,6,99],[2,6,38],[4,5,87],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,4)=18,(0,4)=27,(2,6)=38,(1,2)=45,(0,3)=57,(1,3)=57,(5,6)=60,(1,5)=71,(0,2)=80,(4,5)=87,(1,6)=99]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=27 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=38 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 2}, Find(1)=0, Find(2)=2, Add (1,2)=45 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=60 Succeeded, w=222\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=222\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=222\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=222\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,47],[0,3,25],[0,4,18],[1,2,82],[1,3,46],[1,4,15],[2,3,75],[2,4,60],[3,4,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,47],[0,3,25],[0,4,18],[1,2,82],[1,3,46],[1,4,15],[2,3,75],[2,4,60],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,47],[0,3,25],[0,4,18],[1,2,82],[1,3,46],[1,4,15],[2,3,75],[2,4,60],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,47],[0,3,25],[0,4,18],[1,2,82],[1,3,46],[1,4,15],[2,3,75],[2,4,60],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=15, w=15\",\"Add (0,4)=18, w=33\",\"Add (0,3)=25, w=58\",\"Add (0,2)=47, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,47],[0,3,25],[0,4,18],[1,2,82],[1,3,46],[1,4,15],[2,3,75],[2,4,60],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=15 Succeeded, w=15\",\"Add (0,4)=18 Succeeded, w=33\",\"Add (0,3)=25 Succeeded, w=58\",\"Add (0,1)=36 Failed, w=58\",\"Add (1,3)=46 Failed, w=58\",\"Add (0,2)=47 Succeeded, w=105\",\"Add (2,4)=60 Failed, w=105\",\"Add (2,3)=75 Failed, w=105\",\"Add (3,4)=79 Failed, w=105\",\"Add (1,2)=82 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,47],[0,3,25],[0,4,18],[1,2,82],[1,3,46],[1,4,15],[2,3,75],[2,4,60],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=15,(0,4)=18,(0,3)=25,(0,1)=36,(1,3)=46,(0,2)=47,(2,4)=60,(2,3)=75,(3,4)=79,(1,2)=82]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=15\",\"Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=33\",\"Find(0)=1, Find(3)=3, Add (0,3)=25 Succeeded, w=58\",\"Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=58\",\"Find(1)=1, Find(3)=1, Add (1,3)=46 Failed, w=58\",\"Find(0)=1, Find(2)=2, Add (0,2)=47 Succeeded, w=105\",\"Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=105\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=105\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=105\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,47],[0,3,25],[0,4,18],[1,2,82],[1,3,46],[1,4,15],[2,3,75],[2,4,60],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=15,(0,4)=18,(0,3)=25,(0,1)=36,(1,3)=46,(0,2)=47,(2,4)=60,(2,3)=75,(3,4)=79,(1,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=25 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=46 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=47 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,2,29],[0,3,75],[0,4,58],[1,2,88],[1,3,72],[1,4,73],[2,3,48],[2,4,100],[3,4,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,29],[0,3,75],[0,4,58],[1,2,88],[1,3,72],[1,4,73],[2,3,48],[2,4,100],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,29],[0,3,75],[0,4,58],[1,2,88],[1,3,72],[1,4,73],[2,3,48],[2,4,100],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,29],[0,3,75],[0,4,58],[1,2,88],[1,3,72],[1,4,73],[2,3,48],[2,4,100],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=29, w=29\",\"Add (3,4)=31, w=60\",\"Add (2,3)=48, w=108\",\"Add (1,3)=72, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,29],[0,3,75],[0,4,58],[1,2,88],[1,3,72],[1,4,73],[2,3,48],[2,4,100],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=29 Succeeded, w=29\",\"Add (3,4)=31 Succeeded, w=60\",\"Add (2,3)=48 Succeeded, w=108\",\"Add (0,4)=58 Failed, w=108\",\"Add (1,3)=72 Succeeded, w=180\",\"Add (1,4)=73 Failed, w=180\",\"Add (0,1)=74 Failed, w=180\",\"Add (0,3)=75 Failed, w=180\",\"Add (1,2)=88 Failed, w=180\",\"Add (2,4)=100 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,29],[0,3,75],[0,4,58],[1,2,88],[1,3,72],[1,4,73],[2,3,48],[2,4,100],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=29,(3,4)=31,(2,3)=48,(0,4)=58,(1,3)=72,(1,4)=73,(0,1)=74,(0,3)=75,(1,2)=88,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=29\",\"Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=60\",\"Find(2)=0, Find(3)=3, Add (2,3)=48 Succeeded, w=108\",\"Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=108\",\"Find(1)=1, Find(3)=0, Add (1,3)=72 Succeeded, w=180\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=180\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=180\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=180\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=180\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,29],[0,3,75],[0,4,58],[1,2,88],[1,3,72],[1,4,73],[2,3,48],[2,4,100],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=29,(3,4)=31,(2,3)=48,(0,4)=58,(1,3)=72,(1,4)=73,(0,1)=74,(0,3)=75,(1,2)=88,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=3, Add (2,3)=48 Succeeded, w=108\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=72 Succeeded, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,53],[0,2,36],[0,3,51],[0,5,52],[1,2,83],[1,3,97],[1,4,16],[1,5,13],[2,3,39],[2,4,43],[2,5,82],[3,4,0],[3,5,58],[4,5,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,36],[0,3,51],[0,5,52],[1,2,83],[1,3,97],[1,4,16],[1,5,13],[2,3,39],[2,4,43],[2,5,82],[3,4,0],[3,5,58],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,36],[0,3,51],[0,5,52],[1,2,83],[1,3,97],[1,4,16],[1,5,13],[2,3,39],[2,4,43],[2,5,82],[3,4,0],[3,5,58],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,36],[0,3,51],[0,5,52],[1,2,83],[1,3,97],[1,4,16],[1,5,13],[2,3,39],[2,4,43],[2,5,82],[3,4,0],[3,5,58],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (1,5)=13, w=13\",\"Add (1,4)=16, w=29\",\"Add (0,2)=36, w=65\",\"Add (2,3)=39, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,36],[0,3,51],[0,5,52],[1,2,83],[1,3,97],[1,4,16],[1,5,13],[2,3,39],[2,4,43],[2,5,82],[3,4,0],[3,5,58],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (1,5)=13 Succeeded, w=13\",\"Add (1,4)=16 Succeeded, w=29\",\"Add (0,2)=36 Succeeded, w=65\",\"Add (2,3)=39 Succeeded, w=104\",\"Add (2,4)=43 Failed, w=104\",\"Add (0,3)=51 Failed, w=104\",\"Add (0,5)=52 Failed, w=104\",\"Add (0,1)=53 Failed, w=104\",\"Add (3,5)=58 Failed, w=104\",\"Add (4,5)=63 Failed, w=104\",\"Add (2,5)=82 Failed, w=104\",\"Add (1,2)=83 Failed, w=104\",\"Add (1,3)=97 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,36],[0,3,51],[0,5,52],[1,2,83],[1,3,97],[1,4,16],[1,5,13],[2,3,39],[2,4,43],[2,5,82],[3,4,0],[3,5,58],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(1,5)=13,(1,4)=16,(0,2)=36,(2,3)=39,(2,4)=43,(0,3)=51,(0,5)=52,(0,1)=53,(3,5)=58,(4,5)=63,(2,5)=82,(1,2)=83,(1,3)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=13\",\"Find(1)=1, Find(4)=3, Add (1,4)=16 Succeeded, w=29\",\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=65\",\"Find(2)=0, Find(3)=1, Add (2,3)=39 Succeeded, w=104\",\"Find(2)=1, Find(4)=1, Add (2,4)=43 Failed, w=104\",\"Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=104\",\"Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=104\",\"Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=104\",\"Find(3)=1, Find(5)=1, Add (3,5)=58 Failed, w=104\",\"Find(4)=1, Find(5)=1, Add (4,5)=63 Failed, w=104\",\"Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=104\",\"Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=104\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,2,36],[0,3,51],[0,5,52],[1,2,83],[1,3,97],[1,4,16],[1,5,13],[2,3,39],[2,4,43],[2,5,82],[3,4,0],[3,5,58],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(1,5)=13,(1,4)=16,(0,2)=36,(2,3)=39,(2,4)=43,(0,3)=51,(0,5)=52,(0,1)=53,(3,5)=58,(4,5)=63,(2,5)=82,(1,2)=83,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 3, 5: 1}, Find(1)=1, Find(4)=3, Add (1,4)=16 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 3, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 3, 5: 1}, Find(2)=0, Find(3)=1, Add (2,3)=39 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=43 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=58 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=63 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,94],[0,2,71],[0,3,48],[0,4,59],[0,5,48],[0,6,81],[0,7,35],[1,2,44],[1,3,51],[1,4,33],[1,5,53],[1,6,0],[1,7,35],[2,4,63],[2,5,67],[2,6,19],[2,7,32],[3,4,59],[3,5,17],[3,6,14],[3,7,66],[4,5,51],[4,6,50],[4,7,71],[5,6,90],[5,7,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,71],[0,3,48],[0,4,59],[0,5,48],[0,6,81],[0,7,35],[1,2,44],[1,3,51],[1,4,33],[1,5,53],[1,6,0],[1,7,35],[2,4,63],[2,5,67],[2,6,19],[2,7,32],[3,4,59],[3,5,17],[3,6,14],[3,7,66],[4,5,51],[4,6,50],[4,7,71],[5,6,90],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,71],[0,3,48],[0,4,59],[0,5,48],[0,6,81],[0,7,35],[1,2,44],[1,3,51],[1,4,33],[1,5,53],[1,6,0],[1,7,35],[2,4,63],[2,5,67],[2,6,19],[2,7,32],[3,4,59],[3,5,17],[3,6,14],[3,7,66],[4,5,51],[4,6,50],[4,7,71],[5,6,90],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (2,7)\",\"Add (1,4)\",\"Add (0,7)\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,71],[0,3,48],[0,4,59],[0,5,48],[0,6,81],[0,7,35],[1,2,44],[1,3,51],[1,4,33],[1,5,53],[1,6,0],[1,7,35],[2,4,63],[2,5,67],[2,6,19],[2,7,32],[3,4,59],[3,5,17],[3,6,14],[3,7,66],[4,5,51],[4,6,50],[4,7,71],[5,6,90],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0, w=0\",\"Add (3,6)=14, w=14\",\"Add (3,5)=17, w=31\",\"Add (2,6)=19, w=50\",\"Add (2,7)=32, w=82\",\"Add (1,4)=33, w=115\",\"Add (0,7)=35, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,71],[0,3,48],[0,4,59],[0,5,48],[0,6,81],[0,7,35],[1,2,44],[1,3,51],[1,4,33],[1,5,53],[1,6,0],[1,7,35],[2,4,63],[2,5,67],[2,6,19],[2,7,32],[3,4,59],[3,5,17],[3,6,14],[3,7,66],[4,5,51],[4,6,50],[4,7,71],[5,6,90],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0 Succeeded, w=0\",\"Add (3,6)=14 Succeeded, w=14\",\"Add (3,5)=17 Succeeded, w=31\",\"Add (2,6)=19 Succeeded, w=50\",\"Add (2,7)=32 Succeeded, w=82\",\"Add (1,4)=33 Succeeded, w=115\",\"Add (0,7)=35 Succeeded, w=150\",\"Add (1,7)=35 Failed, w=150\",\"Add (1,2)=44 Failed, w=150\",\"Add (0,3)=48 Failed, w=150\",\"Add (0,5)=48 Failed, w=150\",\"Add (4,6)=50 Failed, w=150\",\"Add (1,3)=51 Failed, w=150\",\"Add (4,5)=51 Failed, w=150\",\"Add (1,5)=53 Failed, w=150\",\"Add (0,4)=59 Failed, w=150\",\"Add (3,4)=59 Failed, w=150\",\"Add (2,4)=63 Failed, w=150\",\"Add (5,7)=64 Failed, w=150\",\"Add (3,7)=66 Failed, w=150\",\"Add (2,5)=67 Failed, w=150\",\"Add (0,2)=71 Failed, w=150\",\"Add (4,7)=71 Failed, w=150\",\"Add (0,6)=81 Failed, w=150\",\"Add (5,6)=90 Failed, w=150\",\"Add (0,1)=94 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,71],[0,3,48],[0,4,59],[0,5,48],[0,6,81],[0,7,35],[1,2,44],[1,3,51],[1,4,33],[1,5,53],[1,6,0],[1,7,35],[2,4,63],[2,5,67],[2,6,19],[2,7,32],[3,4,59],[3,5,17],[3,6,14],[3,7,66],[4,5,51],[4,6,50],[4,7,71],[5,6,90],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(3,6)=14,(3,5)=17,(2,6)=19,(2,7)=32,(1,4)=33,(0,7)=35,(1,7)=35,(1,2)=44,(0,3)=48,(0,5)=48,(4,6)=50,(1,3)=51,(4,5)=51,(1,5)=53,(0,4)=59,(3,4)=59,(2,4)=63,(5,7)=64,(3,7)=66,(2,5)=67,(0,2)=71,(4,7)=71,(0,6)=81,(5,6)=90,(0,1)=94]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=1, Add (3,6)=14 Succeeded, w=14\",\"Find(3)=1, Find(5)=5, Add (3,5)=17 Succeeded, w=31\",\"Find(2)=2, Find(6)=1, Add (2,6)=19 Succeeded, w=50\",\"Find(2)=1, Find(7)=7, Add (2,7)=32 Succeeded, w=82\",\"Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=115\",\"Find(0)=0, Find(7)=1, Add (0,7)=35 Succeeded, w=150\",\"Find(1)=1, Find(7)=1, Add (1,7)=35 Failed, w=150\",\"Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=150\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=150\",\"Find(0)=1, Find(5)=1, Add (0,5)=48 Failed, w=150\",\"Find(4)=1, Find(6)=1, Add (4,6)=50 Failed, w=150\",\"Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=150\",\"Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=150\",\"Find(1)=1, Find(5)=1, Add (1,5)=53 Failed, w=150\",\"Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=150\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=150\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=150\",\"Find(5)=1, Find(7)=1, Add (5,7)=64 Failed, w=150\",\"Find(3)=1, Find(7)=1, Add (3,7)=66 Failed, w=150\",\"Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=150\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=150\",\"Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=150\",\"Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=150\",\"Find(5)=1, Find(6)=1, Add (5,6)=90 Failed, w=150\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,2,71],[0,3,48],[0,4,59],[0,5,48],[0,6,81],[0,7,35],[1,2,44],[1,3,51],[1,4,33],[1,5,53],[1,6,0],[1,7,35],[2,4,63],[2,5,67],[2,6,19],[2,7,32],[3,4,59],[3,5,17],[3,6,14],[3,7,66],[4,5,51],[4,6,50],[4,7,71],[5,6,90],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(3,6)=14,(3,5)=17,(2,6)=19,(2,7)=32,(1,4)=33,(0,7)=35,(1,7)=35,(1,2)=44,(0,3)=48,(0,5)=48,(4,6)=50,(1,3)=51,(4,5)=51,(1,5)=53,(0,4)=59,(3,4)=59,(2,4)=63,(5,7)=64,(3,7)=66,(2,5)=67,(0,2)=71,(4,7)=71,(0,6)=81,(5,6)=90,(0,1)=94]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(3)=3, Find(6)=1, Add (3,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(5)=5, Add (3,5)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(2)=2, Find(6)=1, Add (2,6)=19 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=7, Add (2,7)=32 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=35 Succeeded, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=35 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=150\",\"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)=48 Failed, w=150\",\"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)=48 Failed, w=150\",\"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)=50 Failed, w=150\",\"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)=51 Failed, w=150\",\"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)=51 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=53 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=150\",\"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)=64 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=66 Failed, w=150\",\"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)=67 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=150\",\"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)=90 Failed, w=150\",\"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)=94 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,85],[0,3,57],[1,3,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,85],[0,3,57],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":218}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,85],[0,3,57],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":218}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,85],[0,3,57],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=57, w=57\",\"Add (1,3)=76, w=133\",\"Add (0,2)=85, w=218\"],\"Answer\":218}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,85],[0,3,57],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=57 Succeeded, w=57\",\"Add (1,3)=76 Succeeded, w=133\",\"Add (0,2)=85 Succeeded, w=218\"],\"Answer\":218}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,85],[0,3,57],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=57,(1,3)=76,(0,2)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=57\",\"Find(1)=1, Find(3)=0, Add (1,3)=76 Succeeded, w=133\",\"Find(0)=0, Find(2)=2, Add (0,2)=85 Succeeded, w=218\"],\"Answer\":218}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,85],[0,3,57],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=57,(1,3)=76,(0,2)=85]\",\"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: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=76 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=85 Succeeded, w=218\"],\"Answer\":218}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,66],[0,3,31],[0,4,0],[1,2,74],[1,5,49],[2,4,14],[2,5,47],[3,5,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,3,31],[0,4,0],[1,2,74],[1,5,49],[2,4,14],[2,5,47],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,3,31],[0,4,0],[1,2,74],[1,5,49],[2,4,14],[2,5,47],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,5)\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,3,31],[0,4,0],[1,2,74],[1,5,49],[2,4,14],[2,5,47],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (2,4)=14, w=14\",\"Add (0,3)=31, w=45\",\"Add (2,5)=47, w=92\",\"Add (1,5)=49, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,3,31],[0,4,0],[1,2,74],[1,5,49],[2,4,14],[2,5,47],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (2,4)=14 Succeeded, w=14\",\"Add (0,3)=31 Succeeded, w=45\",\"Add (2,5)=47 Succeeded, w=92\",\"Add (1,5)=49 Succeeded, w=141\",\"Add (0,2)=66 Failed, w=141\",\"Add (1,2)=74 Failed, w=141\",\"Add (3,5)=79 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,3,31],[0,4,0],[1,2,74],[1,5,49],[2,4,14],[2,5,47],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,4)=14,(0,3)=31,(2,5)=47,(1,5)=49,(0,2)=66,(1,2)=74,(3,5)=79]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=0, Add (2,4)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=45\",\"Find(2)=0, Find(5)=5, Add (2,5)=47 Succeeded, w=92\",\"Find(1)=1, Find(5)=0, Add (1,5)=49 Succeeded, w=141\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=141\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=141\",\"Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,66],[0,3,31],[0,4,0],[1,2,74],[1,5,49],[2,4,14],[2,5,47],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,4)=14,(0,3)=31,(2,5)=47,(1,5)=49,(0,2)=66,(1,2)=74,(3,5)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=47 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=49 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,22],[0,3,61],[0,4,29],[1,2,2],[1,4,3],[2,3,61],[2,4,90],[3,4,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,61],[0,4,29],[1,2,2],[1,4,3],[2,3,61],[2,4,90],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,61],[0,4,29],[1,2,2],[1,4,3],[2,3,61],[2,4,90],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,61],[0,4,29],[1,2,2],[1,4,3],[2,3,61],[2,4,90],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (1,4)=3, w=5\",\"Add (0,2)=22, w=27\",\"Add (0,3)=61, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,61],[0,4,29],[1,2,2],[1,4,3],[2,3,61],[2,4,90],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (1,4)=3 Succeeded, w=5\",\"Add (0,2)=22 Succeeded, w=27\",\"Add (0,4)=29 Failed, w=27\",\"Add (0,3)=61 Succeeded, w=88\",\"Add (2,3)=61 Failed, w=88\",\"Add (3,4)=72 Failed, w=88\",\"Add (2,4)=90 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,61],[0,4,29],[1,2,2],[1,4,3],[2,3,61],[2,4,90],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(1,4)=3,(0,2)=22,(0,4)=29,(0,3)=61,(2,3)=61,(3,4)=72,(2,4)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=5\",\"Find(0)=0, Find(2)=1, Add (0,2)=22 Succeeded, w=27\",\"Find(0)=1, Find(4)=1, Add (0,4)=29 Failed, w=27\",\"Find(0)=1, Find(3)=3, Add (0,3)=61 Succeeded, w=88\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=88\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=88\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,61],[0,4,29],[1,2,2],[1,4,3],[2,3,61],[2,4,90],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(1,4)=3,(0,2)=22,(0,4)=29,(0,3)=61,(2,3)=61,(3,4)=72,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=22 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=29 Failed, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=61 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[0,3,49],[1,2,76],[1,3,39],[2,3,6],[2,4,47],[3,4,73]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,49],[1,2,76],[1,3,39],[2,3,6],[2,4,47],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,49],[1,2,76],[1,3,39],[2,3,6],[2,4,47],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,49],[1,2,76],[1,3,39],[2,3,6],[2,4,47],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (0,1)=31, w=37\",\"Add (1,3)=39, w=76\",\"Add (2,4)=47, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,49],[1,2,76],[1,3,39],[2,3,6],[2,4,47],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (0,1)=31 Succeeded, w=37\",\"Add (1,3)=39 Succeeded, w=76\",\"Add (2,4)=47 Succeeded, w=123\",\"Add (0,3)=49 Failed, w=123\",\"Add (3,4)=73 Failed, w=123\",\"Add (1,2)=76 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,49],[1,2,76],[1,3,39],[2,3,6],[2,4,47],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(0,1)=31,(1,3)=39,(2,4)=47,(0,3)=49,(3,4)=73,(1,2)=76]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=37\",\"Find(1)=0, Find(3)=2, Add (1,3)=39 Succeeded, w=76\",\"Find(2)=0, Find(4)=4, Add (2,4)=47 Succeeded, w=123\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=123\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=123\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,49],[1,2,76],[1,3,39],[2,3,6],[2,4,47],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(0,1)=31,(1,3)=39,(2,4)=47,(0,3)=49,(3,4)=73,(1,2)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(3)=2, Add (1,3)=39 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=47 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,38],[0,3,64],[0,4,44],[0,5,23],[1,2,87],[1,3,72],[1,4,90],[1,5,68],[2,4,68],[2,5,79],[3,4,11],[4,5,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,38],[0,3,64],[0,4,44],[0,5,23],[1,2,87],[1,3,72],[1,4,90],[1,5,68],[2,4,68],[2,5,79],[3,4,11],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,38],[0,3,64],[0,4,44],[0,5,23],[1,2,87],[1,3,72],[1,4,90],[1,5,68],[2,4,68],[2,5,79],[3,4,11],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,38],[0,3,64],[0,4,44],[0,5,23],[1,2,87],[1,3,72],[1,4,90],[1,5,68],[2,4,68],[2,5,79],[3,4,11],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (0,5)=23, w=34\",\"Add (4,5)=31, w=65\",\"Add (0,2)=38, w=103\",\"Add (1,5)=68, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,38],[0,3,64],[0,4,44],[0,5,23],[1,2,87],[1,3,72],[1,4,90],[1,5,68],[2,4,68],[2,5,79],[3,4,11],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (0,5)=23 Succeeded, w=34\",\"Add (4,5)=31 Succeeded, w=65\",\"Add (0,2)=38 Succeeded, w=103\",\"Add (0,4)=44 Failed, w=103\",\"Add (0,3)=64 Failed, w=103\",\"Add (1,5)=68 Succeeded, w=171\",\"Add (2,4)=68 Failed, w=171\",\"Add (1,3)=72 Failed, w=171\",\"Add (2,5)=79 Failed, w=171\",\"Add (1,2)=87 Failed, w=171\",\"Add (1,4)=90 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,38],[0,3,64],[0,4,44],[0,5,23],[1,2,87],[1,3,72],[1,4,90],[1,5,68],[2,4,68],[2,5,79],[3,4,11],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(0,5)=23,(4,5)=31,(0,2)=38,(0,4)=44,(0,3)=64,(1,5)=68,(2,4)=68,(1,3)=72,(2,5)=79,(1,2)=87,(1,4)=90]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=34\",\"Find(4)=3, Find(5)=0, Add (4,5)=31 Succeeded, w=65\",\"Find(0)=3, Find(2)=2, Add (0,2)=38 Succeeded, w=103\",\"Find(0)=3, Find(4)=3, Add (0,4)=44 Failed, w=103\",\"Find(0)=3, Find(3)=3, Add (0,3)=64 Failed, w=103\",\"Find(1)=1, Find(5)=3, Add (1,5)=68 Succeeded, w=171\",\"Find(2)=3, Find(4)=3, Add (2,4)=68 Failed, w=171\",\"Find(1)=3, Find(3)=3, Add (1,3)=72 Failed, w=171\",\"Find(2)=3, Find(5)=3, Add (2,5)=79 Failed, w=171\",\"Find(1)=3, Find(2)=3, Add (1,2)=87 Failed, w=171\",\"Find(1)=3, Find(4)=3, Add (1,4)=90 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,38],[0,3,64],[0,4,44],[0,5,23],[1,2,87],[1,3,72],[1,4,90],[1,5,68],[2,4,68],[2,5,79],[3,4,11],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(0,5)=23,(4,5)=31,(0,2)=38,(0,4)=44,(0,3)=64,(1,5)=68,(2,4)=68,(1,3)=72,(2,5)=79,(1,2)=87,(1,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(4)=3, Find(5)=0, Add (4,5)=31 Succeeded, w=65\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(2)=2, Add (0,2)=38 Succeeded, w=103\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(4)=3, Add (0,4)=44 Failed, w=103\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(3)=3, Add (0,3)=64 Failed, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=68 Succeeded, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=68 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=72 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=79 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=87 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=90 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,15],[1,3,14],[2,3,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,3,14],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,3,14],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,3,14],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14, w=14\",\"Add (0,3)=15, w=29\",\"Add (2,3)=63, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,3,14],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14 Succeeded, w=14\",\"Add (0,3)=15 Succeeded, w=29\",\"Add (2,3)=63 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,3,14],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(0,3)=15,(2,3)=63]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=29\",\"Find(2)=2, Find(3)=1, Add (2,3)=63 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,3,14],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(0,3)=15,(2,3)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=63 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,28],[0,2,53],[0,3,85],[0,4,84],[0,5,37],[0,6,63],[1,2,4],[1,3,20],[1,4,3],[1,5,16],[1,6,11],[2,3,96],[2,5,98],[2,6,28],[3,4,74],[3,5,65],[3,6,50],[4,5,31],[4,6,31],[5,6,65]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,53],[0,3,85],[0,4,84],[0,5,37],[0,6,63],[1,2,4],[1,3,20],[1,4,3],[1,5,16],[1,6,11],[2,3,96],[2,5,98],[2,6,28],[3,4,74],[3,5,65],[3,6,50],[4,5,31],[4,6,31],[5,6,65]]}",
"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\":[[0,1,28],[0,2,53],[0,3,85],[0,4,84],[0,5,37],[0,6,63],[1,2,4],[1,3,20],[1,4,3],[1,5,16],[1,6,11],[2,3,96],[2,5,98],[2,6,28],[3,4,74],[3,5,65],[3,6,50],[4,5,31],[4,6,31],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,53],[0,3,85],[0,4,84],[0,5,37],[0,6,63],[1,2,4],[1,3,20],[1,4,3],[1,5,16],[1,6,11],[2,3,96],[2,5,98],[2,6,28],[3,4,74],[3,5,65],[3,6,50],[4,5,31],[4,6,31],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (1,2)=4, w=7\",\"Add (1,6)=11, w=18\",\"Add (1,5)=16, w=34\",\"Add (1,3)=20, w=54\",\"Add (0,1)=28, 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\":[[0,1,28],[0,2,53],[0,3,85],[0,4,84],[0,5,37],[0,6,63],[1,2,4],[1,3,20],[1,4,3],[1,5,16],[1,6,11],[2,3,96],[2,5,98],[2,6,28],[3,4,74],[3,5,65],[3,6,50],[4,5,31],[4,6,31],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (1,2)=4 Succeeded, w=7\",\"Add (1,6)=11 Succeeded, w=18\",\"Add (1,5)=16 Succeeded, w=34\",\"Add (1,3)=20 Succeeded, w=54\",\"Add (0,1)=28 Succeeded, w=82\",\"Add (2,6)=28 Failed, w=82\",\"Add (4,5)=31 Failed, w=82\",\"Add (4,6)=31 Failed, w=82\",\"Add (0,5)=37 Failed, w=82\",\"Add (3,6)=50 Failed, w=82\",\"Add (0,2)=53 Failed, w=82\",\"Add (0,6)=63 Failed, w=82\",\"Add (3,5)=65 Failed, w=82\",\"Add (5,6)=65 Failed, w=82\",\"Add (3,4)=74 Failed, w=82\",\"Add (0,4)=84 Failed, w=82\",\"Add (0,3)=85 Failed, w=82\",\"Add (2,3)=96 Failed, w=82\",\"Add (2,5)=98 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\":[[0,1,28],[0,2,53],[0,3,85],[0,4,84],[0,5,37],[0,6,63],[1,2,4],[1,3,20],[1,4,3],[1,5,16],[1,6,11],[2,3,96],[2,5,98],[2,6,28],[3,4,74],[3,5,65],[3,6,50],[4,5,31],[4,6,31],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,2)=4,(1,6)=11,(1,5)=16,(1,3)=20,(0,1)=28,(2,6)=28,(4,5)=31,(4,6)=31,(0,5)=37,(3,6)=50,(0,2)=53,(0,6)=63,(3,5)=65,(5,6)=65,(3,4)=74,(0,4)=84,(0,3)=85,(2,3)=96,(2,5)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=7\",\"Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=18\",\"Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=34\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=54\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=82\",\"Find(2)=1, Find(6)=1, Add (2,6)=28 Failed, w=82\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=82\",\"Find(4)=1, Find(6)=1, Add (4,6)=31 Failed, w=82\",\"Find(0)=1, Find(5)=1, Add (0,5)=37 Failed, w=82\",\"Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=82\",\"Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=82\",\"Find(0)=1, Find(6)=1, Add (0,6)=63 Failed, w=82\",\"Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=82\",\"Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=82\",\"Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=82\",\"Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=82\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=82\",\"Find(2)=1, Find(3)=1, Add (2,3)=96 Failed, w=82\",\"Find(2)=1, Find(5)=1, Add (2,5)=98 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\":[[0,1,28],[0,2,53],[0,3,85],[0,4,84],[0,5,37],[0,6,63],[1,2,4],[1,3,20],[1,4,3],[1,5,16],[1,6,11],[2,3,96],[2,5,98],[2,6,28],[3,4,74],[3,5,65],[3,6,50],[4,5,31],[4,6,31],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,2)=4,(1,6)=11,(1,5)=16,(1,3)=20,(0,1)=28,(2,6)=28,(4,5)=31,(4,6)=31,(0,5)=37,(3,6)=50,(0,2)=53,(0,6)=63,(3,5)=65,(5,6)=65,(3,4)=74,(0,4)=84,(0,3)=85,(2,3)=96,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=28 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=31 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=37 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=63 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=96 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=98 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,18],[0,2,12],[0,3,47],[1,2,27],[2,3,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,12],[0,3,47],[1,2,27],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,12],[0,3,47],[1,2,27],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,12],[0,3,47],[1,2,27],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (0,1)=18, w=30\",\"Add (0,3)=47, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,12],[0,3,47],[1,2,27],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (0,1)=18 Succeeded, w=30\",\"Add (1,2)=27 Failed, w=30\",\"Add (0,3)=47 Succeeded, w=77\",\"Add (2,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,12],[0,3,47],[1,2,27],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(0,1)=18,(1,2)=27,(0,3)=47,(2,3)=78]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=30\",\"Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=77\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,12],[0,3,47],[1,2,27],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(0,1)=18,(1,2)=27,(0,3)=47,(2,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,33],[0,2,47],[0,3,90],[0,4,16],[0,5,41],[0,6,73],[1,2,95],[1,3,57],[1,4,78],[1,6,73],[2,3,96],[2,4,29],[2,5,47],[2,6,19],[3,4,89],[4,5,22],[4,6,25],[5,6,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,47],[0,3,90],[0,4,16],[0,5,41],[0,6,73],[1,2,95],[1,3,57],[1,4,78],[1,6,73],[2,3,96],[2,4,29],[2,5,47],[2,6,19],[3,4,89],[4,5,22],[4,6,25],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,47],[0,3,90],[0,4,16],[0,5,41],[0,6,73],[1,2,95],[1,3,57],[1,4,78],[1,6,73],[2,3,96],[2,4,29],[2,5,47],[2,6,19],[3,4,89],[4,5,22],[4,6,25],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,47],[0,3,90],[0,4,16],[0,5,41],[0,6,73],[1,2,95],[1,3,57],[1,4,78],[1,6,73],[2,3,96],[2,4,29],[2,5,47],[2,6,19],[3,4,89],[4,5,22],[4,6,25],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16, w=16\",\"Add (2,6)=19, w=35\",\"Add (4,5)=22, w=57\",\"Add (4,6)=25, w=82\",\"Add (0,1)=33, w=115\",\"Add (1,3)=57, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,47],[0,3,90],[0,4,16],[0,5,41],[0,6,73],[1,2,95],[1,3,57],[1,4,78],[1,6,73],[2,3,96],[2,4,29],[2,5,47],[2,6,19],[3,4,89],[4,5,22],[4,6,25],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16 Succeeded, w=16\",\"Add (2,6)=19 Succeeded, w=35\",\"Add (4,5)=22 Succeeded, w=57\",\"Add (4,6)=25 Succeeded, w=82\",\"Add (2,4)=29 Failed, w=82\",\"Add (0,1)=33 Succeeded, w=115\",\"Add (0,5)=41 Failed, w=115\",\"Add (5,6)=42 Failed, w=115\",\"Add (0,2)=47 Failed, w=115\",\"Add (2,5)=47 Failed, w=115\",\"Add (1,3)=57 Succeeded, w=172\",\"Add (0,6)=73 Failed, w=172\",\"Add (1,6)=73 Failed, w=172\",\"Add (1,4)=78 Failed, w=172\",\"Add (3,4)=89 Failed, w=172\",\"Add (0,3)=90 Failed, w=172\",\"Add (1,2)=95 Failed, w=172\",\"Add (2,3)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,47],[0,3,90],[0,4,16],[0,5,41],[0,6,73],[1,2,95],[1,3,57],[1,4,78],[1,6,73],[2,3,96],[2,4,29],[2,5,47],[2,6,19],[3,4,89],[4,5,22],[4,6,25],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(2,6)=19,(4,5)=22,(4,6)=25,(2,4)=29,(0,1)=33,(0,5)=41,(5,6)=42,(0,2)=47,(2,5)=47,(1,3)=57,(0,6)=73,(1,6)=73,(1,4)=78,(3,4)=89,(0,3)=90,(1,2)=95,(2,3)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Find(2)=2, Find(6)=6, Add (2,6)=19 Succeeded, w=35\",\"Find(4)=0, Find(5)=5, Add (4,5)=22 Succeeded, w=57\",\"Find(4)=0, Find(6)=2, Add (4,6)=25 Succeeded, w=82\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=82\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=115\",\"Find(0)=0, Find(5)=0, Add (0,5)=41 Failed, w=115\",\"Find(5)=0, Find(6)=0, Add (5,6)=42 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=115\",\"Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=115\",\"Find(1)=0, Find(3)=3, Add (1,3)=57 Succeeded, w=172\",\"Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=172\",\"Find(1)=0, Find(6)=0, Add (1,6)=73 Failed, w=172\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=172\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=172\",\"Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=172\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=172\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,47],[0,3,90],[0,4,16],[0,5,41],[0,6,73],[1,2,95],[1,3,57],[1,4,78],[1,6,73],[2,3,96],[2,4,29],[2,5,47],[2,6,19],[3,4,89],[4,5,22],[4,6,25],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(2,6)=19,(4,5)=22,(4,6)=25,(2,4)=29,(0,1)=33,(0,5)=41,(5,6)=42,(0,2)=47,(2,5)=47,(1,3)=57,(0,6)=73,(1,6)=73,(1,4)=78,(3,4)=89,(0,3)=90,(1,2)=95,(2,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2}, Find(4)=0, Find(5)=5, Add (4,5)=22 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2}, Find(4)=0, Find(6)=2, Add (4,6)=25 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(5)=0, Add (0,5)=41 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=42 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=57 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=73 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[1,2,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=83, w=83\",\"Add (0,1)=98, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=83 Succeeded, w=83\",\"Add (0,1)=98 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=83,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=83 Succeeded, w=83\",\"Find(0)=0, Find(1)=1, Add (0,1)=98 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=83,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=83 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=98 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,80],[0,4,13],[0,5,51],[0,6,16],[1,2,23],[1,3,92],[1,4,65],[1,5,55],[2,3,9],[2,4,20],[2,5,5],[2,6,23],[3,6,45],[4,6,53],[5,6,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,80],[0,4,13],[0,5,51],[0,6,16],[1,2,23],[1,3,92],[1,4,65],[1,5,55],[2,3,9],[2,4,20],[2,5,5],[2,6,23],[3,6,45],[4,6,53],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,80],[0,4,13],[0,5,51],[0,6,16],[1,2,23],[1,3,92],[1,4,65],[1,5,55],[2,3,9],[2,4,20],[2,5,5],[2,6,23],[3,6,45],[4,6,53],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,80],[0,4,13],[0,5,51],[0,6,16],[1,2,23],[1,3,92],[1,4,65],[1,5,55],[2,3,9],[2,4,20],[2,5,5],[2,6,23],[3,6,45],[4,6,53],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5, w=5\",\"Add (2,3)=9, w=14\",\"Add (0,4)=13, w=27\",\"Add (0,6)=16, w=43\",\"Add (2,4)=20, w=63\",\"Add (1,2)=23, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,80],[0,4,13],[0,5,51],[0,6,16],[1,2,23],[1,3,92],[1,4,65],[1,5,55],[2,3,9],[2,4,20],[2,5,5],[2,6,23],[3,6,45],[4,6,53],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5 Succeeded, w=5\",\"Add (2,3)=9 Succeeded, w=14\",\"Add (0,4)=13 Succeeded, w=27\",\"Add (0,6)=16 Succeeded, w=43\",\"Add (2,4)=20 Succeeded, w=63\",\"Add (1,2)=23 Succeeded, w=86\",\"Add (2,6)=23 Failed, w=86\",\"Add (3,6)=45 Failed, w=86\",\"Add (0,5)=51 Failed, w=86\",\"Add (4,6)=53 Failed, w=86\",\"Add (1,5)=55 Failed, w=86\",\"Add (5,6)=62 Failed, w=86\",\"Add (1,4)=65 Failed, w=86\",\"Add (0,3)=80 Failed, w=86\",\"Add (1,3)=92 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,80],[0,4,13],[0,5,51],[0,6,16],[1,2,23],[1,3,92],[1,4,65],[1,5,55],[2,3,9],[2,4,20],[2,5,5],[2,6,23],[3,6,45],[4,6,53],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(2,3)=9,(0,4)=13,(0,6)=16,(2,4)=20,(1,2)=23,(2,6)=23,(3,6)=45,(0,5)=51,(4,6)=53,(1,5)=55,(5,6)=62,(1,4)=65,(0,3)=80,(1,3)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=27\",\"Find(0)=0, Find(6)=6, Add (0,6)=16 Succeeded, w=43\",\"Find(2)=2, Find(4)=0, Add (2,4)=20 Succeeded, w=63\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=86\",\"Find(2)=2, Find(6)=2, Add (2,6)=23 Failed, w=86\",\"Find(3)=2, Find(6)=2, Add (3,6)=45 Failed, w=86\",\"Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=86\",\"Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=86\",\"Find(1)=2, Find(5)=2, Add (1,5)=55 Failed, w=86\",\"Find(5)=2, Find(6)=2, Add (5,6)=62 Failed, w=86\",\"Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=86\",\"Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=86\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,80],[0,4,13],[0,5,51],[0,6,16],[1,2,23],[1,3,92],[1,4,65],[1,5,55],[2,3,9],[2,4,20],[2,5,5],[2,6,23],[3,6,45],[4,6,53],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(2,3)=9,(0,4)=13,(0,6)=16,(2,4)=20,(1,2)=23,(2,6)=23,(3,6)=45,(0,5)=51,(4,6)=53,(1,5)=55,(5,6)=62,(1,4)=65,(0,3)=80,(1,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=16 Succeeded, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=20 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=23 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=45 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=55 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=62 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,48],[1,3,23],[1,4,11],[2,3,8],[2,4,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[1,3,23],[1,4,11],[2,3,8],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[1,3,23],[1,4,11],[2,3,8],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[1,3,23],[1,4,11],[2,3,8],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (1,4)=11, w=19\",\"Add (2,4)=15, w=34\",\"Add (0,2)=48, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[1,3,23],[1,4,11],[2,3,8],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (1,4)=11 Succeeded, w=19\",\"Add (2,4)=15 Succeeded, w=34\",\"Add (1,3)=23 Failed, w=34\",\"Add (0,2)=48 Succeeded, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[1,3,23],[1,4,11],[2,3,8],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,4)=11,(2,4)=15,(1,3)=23,(0,2)=48]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=19\",\"Find(2)=2, Find(4)=1, Add (2,4)=15 Succeeded, w=34\",\"Find(1)=2, Find(3)=2, Add (1,3)=23 Failed, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,48],[1,3,23],[1,4,11],[2,3,8],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,4)=11,(2,4)=15,(1,3)=23,(0,2)=48]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=15 Succeeded, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(3)=2, Add (1,3)=23 Failed, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,80],[0,3,84],[0,4,82],[1,2,19],[1,3,39],[1,4,51],[2,3,97],[2,4,86],[3,4,55]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,80],[0,3,84],[0,4,82],[1,2,19],[1,3,39],[1,4,51],[2,3,97],[2,4,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,80],[0,3,84],[0,4,82],[1,2,19],[1,3,39],[1,4,51],[2,3,97],[2,4,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,80],[0,3,84],[0,4,82],[1,2,19],[1,3,39],[1,4,51],[2,3,97],[2,4,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19, w=19\",\"Add (0,1)=29, w=48\",\"Add (1,3)=39, w=87\",\"Add (1,4)=51, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,80],[0,3,84],[0,4,82],[1,2,19],[1,3,39],[1,4,51],[2,3,97],[2,4,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19 Succeeded, w=19\",\"Add (0,1)=29 Succeeded, w=48\",\"Add (1,3)=39 Succeeded, w=87\",\"Add (1,4)=51 Succeeded, w=138\",\"Add (3,4)=55 Failed, w=138\",\"Add (0,2)=80 Failed, w=138\",\"Add (0,4)=82 Failed, w=138\",\"Add (0,3)=84 Failed, w=138\",\"Add (2,4)=86 Failed, w=138\",\"Add (2,3)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,80],[0,3,84],[0,4,82],[1,2,19],[1,3,39],[1,4,51],[2,3,97],[2,4,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(0,1)=29,(1,3)=39,(1,4)=51,(3,4)=55,(0,2)=80,(0,4)=82,(0,3)=84,(2,4)=86,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=48\",\"Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=87\",\"Find(1)=1, Find(4)=4, Add (1,4)=51 Succeeded, w=138\",\"Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=138\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=138\",\"Find(0)=1, Find(4)=1, Add (0,4)=82 Failed, w=138\",\"Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=138\",\"Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=138\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,80],[0,3,84],[0,4,82],[1,2,19],[1,3,39],[1,4,51],[2,3,97],[2,4,86],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(0,1)=29,(1,3)=39,(1,4)=51,(3,4)=55,(0,2)=80,(0,4)=82,(0,3)=84,(2,4)=86,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=51 Succeeded, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=82 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,56],[0,4,55],[0,5,84],[0,6,67],[1,2,41],[1,3,89],[1,4,78],[1,5,48],[1,6,8],[2,3,90],[2,4,65],[2,5,81],[2,6,62],[3,5,60],[3,6,86],[4,5,7],[4,6,78],[5,6,49]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,56],[0,4,55],[0,5,84],[0,6,67],[1,2,41],[1,3,89],[1,4,78],[1,5,48],[1,6,8],[2,3,90],[2,4,65],[2,5,81],[2,6,62],[3,5,60],[3,6,86],[4,5,7],[4,6,78],[5,6,49]]}",
"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],\"edges\":[[0,3,56],[0,4,55],[0,5,84],[0,6,67],[1,2,41],[1,3,89],[1,4,78],[1,5,48],[1,6,8],[2,3,90],[2,4,65],[2,5,81],[2,6,62],[3,5,60],[3,6,86],[4,5,7],[4,6,78],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":215}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,56],[0,4,55],[0,5,84],[0,6,67],[1,2,41],[1,3,89],[1,4,78],[1,5,48],[1,6,8],[2,3,90],[2,4,65],[2,5,81],[2,6,62],[3,5,60],[3,6,86],[4,5,7],[4,6,78],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7, w=7\",\"Add (1,6)=8, w=15\",\"Add (1,2)=41, w=56\",\"Add (1,5)=48, w=104\",\"Add (0,4)=55, w=159\",\"Add (0,3)=56, 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],\"edges\":[[0,3,56],[0,4,55],[0,5,84],[0,6,67],[1,2,41],[1,3,89],[1,4,78],[1,5,48],[1,6,8],[2,3,90],[2,4,65],[2,5,81],[2,6,62],[3,5,60],[3,6,86],[4,5,7],[4,6,78],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7 Succeeded, w=7\",\"Add (1,6)=8 Succeeded, w=15\",\"Add (1,2)=41 Succeeded, w=56\",\"Add (1,5)=48 Succeeded, w=104\",\"Add (5,6)=49 Failed, w=104\",\"Add (0,4)=55 Succeeded, w=159\",\"Add (0,3)=56 Succeeded, w=215\",\"Add (3,5)=60 Failed, w=215\",\"Add (2,6)=62 Failed, w=215\",\"Add (2,4)=65 Failed, w=215\",\"Add (0,6)=67 Failed, w=215\",\"Add (1,4)=78 Failed, w=215\",\"Add (4,6)=78 Failed, w=215\",\"Add (2,5)=81 Failed, w=215\",\"Add (0,5)=84 Failed, w=215\",\"Add (3,6)=86 Failed, w=215\",\"Add (1,3)=89 Failed, w=215\",\"Add (2,3)=90 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],\"edges\":[[0,3,56],[0,4,55],[0,5,84],[0,6,67],[1,2,41],[1,3,89],[1,4,78],[1,5,48],[1,6,8],[2,3,90],[2,4,65],[2,5,81],[2,6,62],[3,5,60],[3,6,86],[4,5,7],[4,6,78],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(1,6)=8,(1,2)=41,(1,5)=48,(5,6)=49,(0,4)=55,(0,3)=56,(3,5)=60,(2,6)=62,(2,4)=65,(0,6)=67,(1,4)=78,(4,6)=78,(2,5)=81,(0,5)=84,(3,6)=86,(1,3)=89,(2,3)=90]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=56\",\"Find(1)=1, Find(5)=4, Add (1,5)=48 Succeeded, w=104\",\"Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=104\",\"Find(0)=0, Find(4)=1, Add (0,4)=55 Succeeded, w=159\",\"Find(0)=1, Find(3)=3, Add (0,3)=56 Succeeded, w=215\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=215\",\"Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=215\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=215\",\"Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=215\",\"Find(1)=1, Find(4)=1, Add (1,4)=78 Failed, w=215\",\"Find(4)=1, Find(6)=1, Add (4,6)=78 Failed, w=215\",\"Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=215\",\"Find(0)=1, Find(5)=1, Add (0,5)=84 Failed, w=215\",\"Find(3)=1, Find(6)=1, Add (3,6)=86 Failed, w=215\",\"Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=215\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 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],\"edges\":[[0,3,56],[0,4,55],[0,5,84],[0,6,67],[1,2,41],[1,3,89],[1,4,78],[1,5,48],[1,6,8],[2,3,90],[2,4,65],[2,5,81],[2,6,62],[3,5,60],[3,6,86],[4,5,7],[4,6,78],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(1,6)=8,(1,2)=41,(1,5)=48,(5,6)=49,(0,4)=55,(0,3)=56,(3,5)=60,(2,6)=62,(2,4)=65,(0,6)=67,(1,4)=78,(4,6)=78,(2,5)=81,(0,5)=84,(3,6)=86,(1,3)=89,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4, 6: 1}, Find(1)=1, Find(5)=4, Add (1,5)=48 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=55 Succeeded, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=3, Add (0,3)=56 Succeeded, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=215\",\"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=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=78 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=78 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=84 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=86 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[0,2,68],[0,3,36],[0,4,11],[1,2,21],[1,3,71],[2,3,100],[2,4,96],[3,4,67]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,68],[0,3,36],[0,4,11],[1,2,21],[1,3,71],[2,3,100],[2,4,96],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,68],[0,3,36],[0,4,11],[1,2,21],[1,3,71],[2,3,100],[2,4,96],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,68],[0,3,36],[0,4,11],[1,2,21],[1,3,71],[2,3,100],[2,4,96],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (1,2)=21, w=32\",\"Add (0,3)=36, w=68\",\"Add (0,1)=41, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,68],[0,3,36],[0,4,11],[1,2,21],[1,3,71],[2,3,100],[2,4,96],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (1,2)=21 Succeeded, w=32\",\"Add (0,3)=36 Succeeded, w=68\",\"Add (0,1)=41 Succeeded, w=109\",\"Add (3,4)=67 Failed, w=109\",\"Add (0,2)=68 Failed, w=109\",\"Add (1,3)=71 Failed, w=109\",\"Add (2,4)=96 Failed, w=109\",\"Add (2,3)=100 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,68],[0,3,36],[0,4,11],[1,2,21],[1,3,71],[2,3,100],[2,4,96],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(1,2)=21,(0,3)=36,(0,1)=41,(3,4)=67,(0,2)=68,(1,3)=71,(2,4)=96,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=68\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=109\",\"Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=109\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=109\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=109\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=109\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,68],[0,3,36],[0,4,11],[1,2,21],[1,3,71],[2,3,100],[2,4,96],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(1,2)=21,(0,3)=36,(0,1)=41,(3,4)=67,(0,2)=68,(1,3)=71,(2,4)=96,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,78],[1,3,31],[2,3,39]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[1,3,31],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[1,3,31],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[1,3,31],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=31, w=31\",\"Add (2,3)=39, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[1,3,31],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=31 Succeeded, w=31\",\"Add (2,3)=39 Succeeded, w=70\",\"Add (1,2)=78 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[1,3,31],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=31,(2,3)=39,(1,2)=78]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=31\",\"Find(2)=2, Find(3)=1, Add (2,3)=39 Succeeded, w=70\",\"Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,78],[1,3,31],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=31,(2,3)=39,(1,2)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=39 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,63],[0,2,42],[1,2,95],[1,3,33]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,42],[1,2,95],[1,3,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,42],[1,2,95],[1,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,42],[1,2,95],[1,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=33, w=33\",\"Add (0,2)=42, w=75\",\"Add (0,1)=63, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,42],[1,2,95],[1,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=33 Succeeded, w=33\",\"Add (0,2)=42 Succeeded, w=75\",\"Add (0,1)=63 Succeeded, w=138\",\"Add (1,2)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,42],[1,2,95],[1,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=33,(0,2)=42,(0,1)=63,(1,2)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=33\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=75\",\"Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=138\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,42],[1,2,95],[1,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=33,(0,2)=42,(0,1)=63,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,84],[0,4,26],[0,5,42],[0,7,100],[1,4,22],[1,5,62],[2,3,41],[2,4,18],[2,5,4],[3,4,18],[3,5,22],[3,7,61],[4,5,97],[4,6,94],[4,7,78],[6,7,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,84],[0,4,26],[0,5,42],[0,7,100],[1,4,22],[1,5,62],[2,3,41],[2,4,18],[2,5,4],[3,4,18],[3,5,22],[3,7,61],[4,5,97],[4,6,94],[4,7,78],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,84],[0,4,26],[0,5,42],[0,7,100],[1,4,22],[1,5,62],[2,3,41],[2,4,18],[2,5,4],[3,4,18],[3,5,22],[3,7,61],[4,5,97],[4,6,94],[4,7,78],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (3,7)\",\"Add (6,7)\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,84],[0,4,26],[0,5,42],[0,7,100],[1,4,22],[1,5,62],[2,3,41],[2,4,18],[2,5,4],[3,4,18],[3,5,22],[3,7,61],[4,5,97],[4,6,94],[4,7,78],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (2,4)=18, w=22\",\"Add (3,4)=18, w=40\",\"Add (1,4)=22, w=62\",\"Add (0,4)=26, w=88\",\"Add (3,7)=61, w=149\",\"Add (6,7)=76, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,84],[0,4,26],[0,5,42],[0,7,100],[1,4,22],[1,5,62],[2,3,41],[2,4,18],[2,5,4],[3,4,18],[3,5,22],[3,7,61],[4,5,97],[4,6,94],[4,7,78],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (2,4)=18 Succeeded, w=22\",\"Add (3,4)=18 Succeeded, w=40\",\"Add (1,4)=22 Succeeded, w=62\",\"Add (3,5)=22 Failed, w=62\",\"Add (0,4)=26 Succeeded, w=88\",\"Add (2,3)=41 Failed, w=88\",\"Add (0,5)=42 Failed, w=88\",\"Add (3,7)=61 Succeeded, w=149\",\"Add (1,5)=62 Failed, w=149\",\"Add (6,7)=76 Succeeded, w=225\",\"Add (4,7)=78 Failed, w=225\",\"Add (0,3)=84 Failed, w=225\",\"Add (4,6)=94 Failed, w=225\",\"Add (4,5)=97 Failed, w=225\",\"Add (0,7)=100 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,84],[0,4,26],[0,5,42],[0,7,100],[1,4,22],[1,5,62],[2,3,41],[2,4,18],[2,5,4],[3,4,18],[3,5,22],[3,7,61],[4,5,97],[4,6,94],[4,7,78],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(2,4)=18,(3,4)=18,(1,4)=22,(3,5)=22,(0,4)=26,(2,3)=41,(0,5)=42,(3,7)=61,(1,5)=62,(6,7)=76,(4,7)=78,(0,3)=84,(4,6)=94,(4,5)=97,(0,7)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=22\",\"Find(3)=3, Find(4)=2, Add (3,4)=18 Succeeded, w=40\",\"Find(1)=1, Find(4)=2, Add (1,4)=22 Succeeded, w=62\",\"Find(3)=2, Find(5)=2, Add (3,5)=22 Failed, w=62\",\"Find(0)=0, Find(4)=2, Add (0,4)=26 Succeeded, w=88\",\"Find(2)=2, Find(3)=2, Add (2,3)=41 Failed, w=88\",\"Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=88\",\"Find(3)=2, Find(7)=7, Add (3,7)=61 Succeeded, w=149\",\"Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=149\",\"Find(6)=6, Find(7)=2, Add (6,7)=76 Succeeded, w=225\",\"Find(4)=2, Find(7)=2, Add (4,7)=78 Failed, w=225\",\"Find(0)=2, Find(3)=2, Add (0,3)=84 Failed, w=225\",\"Find(4)=2, Find(6)=2, Add (4,6)=94 Failed, w=225\",\"Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=225\",\"Find(0)=2, Find(7)=2, Add (0,7)=100 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,84],[0,4,26],[0,5,42],[0,7,100],[1,4,22],[1,5,62],[2,3,41],[2,4,18],[2,5,4],[3,4,18],[3,5,22],[3,7,61],[4,5,97],[4,6,94],[4,7,78],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(2,4)=18,(3,4)=18,(1,4)=22,(3,5)=22,(0,4)=26,(2,3)=41,(0,5)=42,(3,7)=61,(1,5)=62,(6,7)=76,(4,7)=78,(0,3)=84,(4,6)=94,(4,5)=97,(0,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=3, Find(4)=2, Add (3,4)=18 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(4)=2, Add (1,4)=22 Succeeded, w=62\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=2, Add (3,5)=22 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=26 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(3)=2, Add (2,3)=41 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(7)=7, Add (3,7)=61 Succeeded, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=76 Succeeded, w=225\",\"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)=78 Failed, w=225\",\"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)=84 Failed, w=225\",\"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)=94 Failed, w=225\",\"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)=97 Failed, w=225\",\"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)=100 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,2,27],[0,3,90]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,27],[0,3,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,27],[0,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,27],[0,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27, w=27\",\"Add (0,3)=90, w=117\",\"Add (0,1)=91, w=208\"],\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,27],[0,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27 Succeeded, w=27\",\"Add (0,3)=90 Succeeded, w=117\",\"Add (0,1)=91 Succeeded, w=208\"],\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,27],[0,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(0,3)=90,(0,1)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Find(0)=0, Find(3)=3, Add (0,3)=90 Succeeded, w=117\",\"Find(0)=0, Find(1)=1, Add (0,1)=91 Succeeded, w=208\"],\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,27],[0,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(0,3)=90,(0,1)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=90 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=91 Succeeded, w=208\"],\"Answer\":208}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,78],[0,3,7],[0,4,68],[1,2,98],[1,3,81],[1,4,67],[2,3,54],[2,4,24],[3,4,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,78],[0,3,7],[0,4,68],[1,2,98],[1,3,81],[1,4,67],[2,3,54],[2,4,24],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,78],[0,3,7],[0,4,68],[1,2,98],[1,3,81],[1,4,67],[2,3,54],[2,4,24],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,78],[0,3,7],[0,4,68],[1,2,98],[1,3,81],[1,4,67],[2,3,54],[2,4,24],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (0,1)=14, w=21\",\"Add (2,4)=24, w=45\",\"Add (2,3)=54, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,78],[0,3,7],[0,4,68],[1,2,98],[1,3,81],[1,4,67],[2,3,54],[2,4,24],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,1)=14 Succeeded, w=21\",\"Add (2,4)=24 Succeeded, w=45\",\"Add (2,3)=54 Succeeded, w=99\",\"Add (1,4)=67 Failed, w=99\",\"Add (0,4)=68 Failed, w=99\",\"Add (0,2)=78 Failed, w=99\",\"Add (3,4)=78 Failed, w=99\",\"Add (1,3)=81 Failed, w=99\",\"Add (1,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,78],[0,3,7],[0,4,68],[1,2,98],[1,3,81],[1,4,67],[2,3,54],[2,4,24],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,1)=14,(2,4)=24,(2,3)=54,(1,4)=67,(0,4)=68,(0,2)=78,(3,4)=78,(1,3)=81,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=21\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=45\",\"Find(2)=2, Find(3)=0, Add (2,3)=54 Succeeded, w=99\",\"Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=99\",\"Find(0)=2, Find(4)=2, Add (0,4)=68 Failed, w=99\",\"Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=99\",\"Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=99\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=99\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,78],[0,3,7],[0,4,68],[1,2,98],[1,3,81],[1,4,67],[2,3,54],[2,4,24],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,1)=14,(2,4)=24,(2,3)=54,(1,4)=67,(0,4)=68,(0,2)=78,(3,4)=78,(1,3)=81,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=45\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=54 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=68 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,36],[0,3,26],[0,4,36],[1,2,37],[1,3,80],[2,3,11],[2,4,0],[3,4,80]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,36],[0,3,26],[0,4,36],[1,2,37],[1,3,80],[2,3,11],[2,4,0],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,36],[0,3,26],[0,4,36],[1,2,37],[1,3,80],[2,3,11],[2,4,0],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,36],[0,3,26],[0,4,36],[1,2,37],[1,3,80],[2,3,11],[2,4,0],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (2,3)=11, w=11\",\"Add (0,3)=26, w=37\",\"Add (1,2)=37, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,36],[0,3,26],[0,4,36],[1,2,37],[1,3,80],[2,3,11],[2,4,0],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (2,3)=11 Succeeded, w=11\",\"Add (0,3)=26 Succeeded, w=37\",\"Add (0,2)=36 Failed, w=37\",\"Add (0,4)=36 Failed, w=37\",\"Add (1,2)=37 Succeeded, w=74\",\"Add (1,3)=80 Failed, w=74\",\"Add (3,4)=80 Failed, w=74\",\"Add (0,1)=89 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,36],[0,3,26],[0,4,36],[1,2,37],[1,3,80],[2,3,11],[2,4,0],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(2,3)=11,(0,3)=26,(0,2)=36,(0,4)=36,(1,2)=37,(1,3)=80,(3,4)=80,(0,1)=89]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=37\",\"Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=37\",\"Find(0)=2, Find(4)=2, Add (0,4)=36 Failed, w=37\",\"Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=74\",\"Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=74\",\"Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=74\",\"Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,36],[0,3,26],[0,4,36],[1,2,37],[1,3,80],[2,3,11],[2,4,0],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(2,3)=11,(0,3)=26,(0,2)=36,(0,4)=36,(1,2)=37,(1,3)=80,(3,4)=80,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=36 Failed, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,2,10],[0,3,10],[1,2,85],[1,3,35],[1,4,46],[2,3,35],[2,4,7],[3,4,28]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,10],[0,3,10],[1,2,85],[1,3,35],[1,4,46],[2,3,35],[2,4,7],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,10],[0,3,10],[1,2,85],[1,3,35],[1,4,46],[2,3,35],[2,4,7],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,10],[0,3,10],[1,2,85],[1,3,35],[1,4,46],[2,3,35],[2,4,7],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7, w=7\",\"Add (0,2)=10, w=17\",\"Add (0,3)=10, w=27\",\"Add (1,3)=35, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,10],[0,3,10],[1,2,85],[1,3,35],[1,4,46],[2,3,35],[2,4,7],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7 Succeeded, w=7\",\"Add (0,2)=10 Succeeded, w=17\",\"Add (0,3)=10 Succeeded, w=27\",\"Add (3,4)=28 Failed, w=27\",\"Add (1,3)=35 Succeeded, w=62\",\"Add (2,3)=35 Failed, w=62\",\"Add (1,4)=46 Failed, w=62\",\"Add (1,2)=85 Failed, w=62\",\"Add (0,1)=86 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,10],[0,3,10],[1,2,85],[1,3,35],[1,4,46],[2,3,35],[2,4,7],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(0,2)=10,(0,3)=10,(3,4)=28,(1,3)=35,(2,3)=35,(1,4)=46,(1,2)=85,(0,1)=86]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=17\",\"Find(0)=2, Find(3)=3, Add (0,3)=10 Succeeded, w=27\",\"Find(3)=2, Find(4)=2, Add (3,4)=28 Failed, w=27\",\"Find(1)=1, Find(3)=2, Add (1,3)=35 Succeeded, w=62\",\"Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=62\",\"Find(1)=2, Find(4)=2, Add (1,4)=46 Failed, w=62\",\"Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=62\",\"Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,10],[0,3,10],[1,2,85],[1,3,35],[1,4,46],[2,3,35],[2,4,7],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(0,2)=10,(0,3)=10,(3,4)=28,(1,3)=35,(2,3)=35,(1,4)=46,(1,2)=85,(0,1)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=10 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=28 Failed, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=35 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=46 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[0,2,58],[0,3,0],[1,2,4],[1,3,52],[2,3,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,58],[0,3,0],[1,2,4],[1,3,52],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,58],[0,3,0],[1,2,4],[1,3,52],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,58],[0,3,0],[1,2,4],[1,3,52],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,2)=4, w=4\",\"Add (0,1)=14, w=18\"],\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,58],[0,3,0],[1,2,4],[1,3,52],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,1)=14 Succeeded, w=18\",\"Add (1,3)=52 Failed, w=18\",\"Add (0,2)=58 Failed, w=18\",\"Add (2,3)=85 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,58],[0,3,0],[1,2,4],[1,3,52],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,2)=4,(0,1)=14,(1,3)=52,(0,2)=58,(2,3)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=18\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=18\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=18\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,58],[0,3,0],[1,2,4],[1,3,52],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,2)=4,(0,1)=14,(1,3)=52,(0,2)=58,(2,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,99],[1,3,35],[2,3,51]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,99],[1,3,35],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,99],[1,3,35],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,99],[1,3,35],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=35, w=35\",\"Add (2,3)=51, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,99],[1,3,35],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=35 Succeeded, w=35\",\"Add (2,3)=51 Succeeded, w=86\",\"Add (1,2)=99 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,99],[1,3,35],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=35,(2,3)=51,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=35\",\"Find(2)=2, Find(3)=1, Add (2,3)=51 Succeeded, w=86\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,99],[1,3,35],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=35,(2,3)=51,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=51 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,41],[0,3,46],[0,4,32],[0,5,53],[1,2,95],[1,3,20],[1,4,18],[1,5,38],[2,4,35],[3,4,17],[4,5,68]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,41],[0,3,46],[0,4,32],[0,5,53],[1,2,95],[1,3,20],[1,4,18],[1,5,38],[2,4,35],[3,4,17],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,41],[0,3,46],[0,4,32],[0,5,53],[1,2,95],[1,3,20],[1,4,18],[1,5,38],[2,4,35],[3,4,17],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,5)\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,41],[0,3,46],[0,4,32],[0,5,53],[1,2,95],[1,3,20],[1,4,18],[1,5,38],[2,4,35],[3,4,17],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=17, w=17\",\"Add (1,4)=18, w=35\",\"Add (0,4)=32, w=67\",\"Add (2,4)=35, w=102\",\"Add (1,5)=38, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,41],[0,3,46],[0,4,32],[0,5,53],[1,2,95],[1,3,20],[1,4,18],[1,5,38],[2,4,35],[3,4,17],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=17 Succeeded, w=17\",\"Add (1,4)=18 Succeeded, w=35\",\"Add (1,3)=20 Failed, w=35\",\"Add (0,4)=32 Succeeded, w=67\",\"Add (2,4)=35 Succeeded, w=102\",\"Add (1,5)=38 Succeeded, w=140\",\"Add (0,2)=41 Failed, w=140\",\"Add (0,3)=46 Failed, w=140\",\"Add (0,5)=53 Failed, w=140\",\"Add (4,5)=68 Failed, w=140\",\"Add (1,2)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,41],[0,3,46],[0,4,32],[0,5,53],[1,2,95],[1,3,20],[1,4,18],[1,5,38],[2,4,35],[3,4,17],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=17,(1,4)=18,(1,3)=20,(0,4)=32,(2,4)=35,(1,5)=38,(0,2)=41,(0,3)=46,(0,5)=53,(4,5)=68,(1,2)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Find(1)=1, Find(4)=3, Add (1,4)=18 Succeeded, w=35\",\"Find(1)=3, Find(3)=3, Add (1,3)=20 Failed, w=35\",\"Find(0)=0, Find(4)=3, Add (0,4)=32 Succeeded, w=67\",\"Find(2)=2, Find(4)=3, Add (2,4)=35 Succeeded, w=102\",\"Find(1)=3, Find(5)=5, Add (1,5)=38 Succeeded, w=140\",\"Find(0)=3, Find(2)=3, Add (0,2)=41 Failed, w=140\",\"Find(0)=3, Find(3)=3, Add (0,3)=46 Failed, w=140\",\"Find(0)=3, Find(5)=3, Add (0,5)=53 Failed, w=140\",\"Find(4)=3, Find(5)=3, Add (4,5)=68 Failed, w=140\",\"Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,41],[0,3,46],[0,4,32],[0,5,53],[1,2,95],[1,3,20],[1,4,18],[1,5,38],[2,4,35],[3,4,17],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=17,(1,4)=18,(1,3)=20,(0,4)=32,(2,4)=35,(1,5)=38,(0,2)=41,(0,3)=46,(0,5)=53,(4,5)=68,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(4)=3, Add (1,4)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(3)=3, Add (1,3)=20 Failed, w=35\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(4)=3, Add (0,4)=32 Succeeded, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=35 Succeeded, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=5, Add (1,5)=38 Succeeded, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=41 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=46 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=53 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=68 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,99],[0,4,52],[0,5,68],[1,2,25],[1,4,93],[2,4,83],[2,5,72],[3,5,23]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,99],[0,4,52],[0,5,68],[1,2,25],[1,4,93],[2,4,83],[2,5,72],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,99],[0,4,52],[0,5,68],[1,2,25],[1,4,93],[2,4,83],[2,5,72],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (2,5)\"],\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,99],[0,4,52],[0,5,68],[1,2,25],[1,4,93],[2,4,83],[2,5,72],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=23, w=23\",\"Add (1,2)=25, w=48\",\"Add (0,4)=52, w=100\",\"Add (0,5)=68, w=168\",\"Add (2,5)=72, w=240\"],\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,99],[0,4,52],[0,5,68],[1,2,25],[1,4,93],[2,4,83],[2,5,72],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=23 Succeeded, w=23\",\"Add (1,2)=25 Succeeded, w=48\",\"Add (0,4)=52 Succeeded, w=100\",\"Add (0,5)=68 Succeeded, w=168\",\"Add (2,5)=72 Succeeded, w=240\",\"Add (2,4)=83 Failed, w=240\",\"Add (1,4)=93 Failed, w=240\",\"Add (0,2)=99 Failed, w=240\"],\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,99],[0,4,52],[0,5,68],[1,2,25],[1,4,93],[2,4,83],[2,5,72],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=23,(1,2)=25,(0,4)=52,(0,5)=68,(2,5)=72,(2,4)=83,(1,4)=93,(0,2)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=48\",\"Find(0)=0, Find(4)=4, Add (0,4)=52 Succeeded, w=100\",\"Find(0)=0, Find(5)=3, Add (0,5)=68 Succeeded, w=168\",\"Find(2)=1, Find(5)=0, Add (2,5)=72 Succeeded, w=240\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=240\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=240\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=240\"],\"Answer\":240}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,99],[0,4,52],[0,5,68],[1,2,25],[1,4,93],[2,4,83],[2,5,72],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=23,(1,2)=25,(0,4)=52,(0,5)=68,(2,5)=72,(2,4)=83,(1,4)=93,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=52 Succeeded, w=100\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=68 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(2)=1, Find(5)=0, Add (2,5)=72 Succeeded, w=240\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=240\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=240\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=240\"],\"Answer\":240}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,100],[0,2,67],[0,3,79],[0,4,48],[0,5,8],[1,2,19],[1,3,88],[1,4,91],[1,5,10],[2,3,36],[2,4,96],[2,5,71],[3,4,75],[3,5,70],[4,5,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,67],[0,3,79],[0,4,48],[0,5,8],[1,2,19],[1,3,88],[1,4,91],[1,5,10],[2,3,36],[2,4,96],[2,5,71],[3,4,75],[3,5,70],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,67],[0,3,79],[0,4,48],[0,5,8],[1,2,19],[1,3,88],[1,4,91],[1,5,10],[2,3,36],[2,4,96],[2,5,71],[3,4,75],[3,5,70],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,67],[0,3,79],[0,4,48],[0,5,8],[1,2,19],[1,3,88],[1,4,91],[1,5,10],[2,3,36],[2,4,96],[2,5,71],[3,4,75],[3,5,70],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8, w=8\",\"Add (1,5)=10, w=18\",\"Add (1,2)=19, w=37\",\"Add (4,5)=31, w=68\",\"Add (2,3)=36, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,67],[0,3,79],[0,4,48],[0,5,8],[1,2,19],[1,3,88],[1,4,91],[1,5,10],[2,3,36],[2,4,96],[2,5,71],[3,4,75],[3,5,70],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8 Succeeded, w=8\",\"Add (1,5)=10 Succeeded, w=18\",\"Add (1,2)=19 Succeeded, w=37\",\"Add (4,5)=31 Succeeded, w=68\",\"Add (2,3)=36 Succeeded, w=104\",\"Add (0,4)=48 Failed, w=104\",\"Add (0,2)=67 Failed, w=104\",\"Add (3,5)=70 Failed, w=104\",\"Add (2,5)=71 Failed, w=104\",\"Add (3,4)=75 Failed, w=104\",\"Add (0,3)=79 Failed, w=104\",\"Add (1,3)=88 Failed, w=104\",\"Add (1,4)=91 Failed, w=104\",\"Add (2,4)=96 Failed, w=104\",\"Add (0,1)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,67],[0,3,79],[0,4,48],[0,5,8],[1,2,19],[1,3,88],[1,4,91],[1,5,10],[2,3,36],[2,4,96],[2,5,71],[3,4,75],[3,5,70],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(1,5)=10,(1,2)=19,(4,5)=31,(2,3)=36,(0,4)=48,(0,2)=67,(3,5)=70,(2,5)=71,(3,4)=75,(0,3)=79,(1,3)=88,(1,4)=91,(2,4)=96,(0,1)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(5)=0, Add (1,5)=10 Succeeded, w=18\",\"Find(1)=0, Find(2)=2, Add (1,2)=19 Succeeded, w=37\",\"Find(4)=4, Find(5)=0, Add (4,5)=31 Succeeded, w=68\",\"Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=104\",\"Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=104\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=104\",\"Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=104\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=104\",\"Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=104\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=104\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=104\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=104\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=104\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,67],[0,3,79],[0,4,48],[0,5,8],[1,2,19],[1,3,88],[1,4,91],[1,5,10],[2,3,36],[2,4,96],[2,5,71],[3,4,75],[3,5,70],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(1,5)=10,(1,2)=19,(4,5)=31,(2,3)=36,(0,4)=48,(0,2)=67,(3,5)=70,(2,5)=71,(3,4)=75,(0,3)=79,(1,3)=88,(1,4)=91,(2,4)=96,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=31 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,84],[0,2,83],[0,3,72],[0,4,42],[1,3,70],[1,4,48],[3,4,97]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,83],[0,3,72],[0,4,42],[1,3,70],[1,4,48],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,83],[0,3,72],[0,4,42],[1,3,70],[1,4,48],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,83],[0,3,72],[0,4,42],[1,3,70],[1,4,48],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=42, w=42\",\"Add (1,4)=48, w=90\",\"Add (1,3)=70, w=160\",\"Add (0,2)=83, w=243\"],\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,83],[0,3,72],[0,4,42],[1,3,70],[1,4,48],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=42 Succeeded, w=42\",\"Add (1,4)=48 Succeeded, w=90\",\"Add (1,3)=70 Succeeded, w=160\",\"Add (0,3)=72 Failed, w=160\",\"Add (0,2)=83 Succeeded, w=243\",\"Add (0,1)=84 Failed, w=243\",\"Add (3,4)=97 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,83],[0,3,72],[0,4,42],[1,3,70],[1,4,48],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=42,(1,4)=48,(1,3)=70,(0,3)=72,(0,2)=83,(0,1)=84,(3,4)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=42\",\"Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=90\",\"Find(1)=0, Find(3)=3, Add (1,3)=70 Succeeded, w=160\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=160\",\"Find(0)=0, Find(2)=2, Add (0,2)=83 Succeeded, w=243\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=243\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,83],[0,3,72],[0,4,42],[1,3,70],[1,4,48],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=42,(1,4)=48,(1,3)=70,(0,3)=72,(0,2)=83,(0,1)=84,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=70 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=83 Succeeded, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,81],[1,2,30],[1,3,57],[1,5,38],[2,3,83],[2,4,19],[2,5,51],[3,5,65],[4,5,51]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,81],[1,2,30],[1,3,57],[1,5,38],[2,3,83],[2,4,19],[2,5,51],[3,5,65],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,81],[1,2,30],[1,3,57],[1,5,38],[2,3,83],[2,4,19],[2,5,51],[3,5,65],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,81],[1,2,30],[1,3,57],[1,5,38],[2,3,83],[2,4,19],[2,5,51],[3,5,65],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=19, w=19\",\"Add (1,2)=30, w=49\",\"Add (1,5)=38, w=87\",\"Add (1,3)=57, w=144\",\"Add (0,2)=81, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,81],[1,2,30],[1,3,57],[1,5,38],[2,3,83],[2,4,19],[2,5,51],[3,5,65],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=19 Succeeded, w=19\",\"Add (1,2)=30 Succeeded, w=49\",\"Add (1,5)=38 Succeeded, w=87\",\"Add (2,5)=51 Failed, w=87\",\"Add (4,5)=51 Failed, w=87\",\"Add (1,3)=57 Succeeded, w=144\",\"Add (3,5)=65 Failed, w=144\",\"Add (0,2)=81 Succeeded, w=225\",\"Add (2,3)=83 Failed, w=225\",\"Add (0,1)=90 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,81],[1,2,30],[1,3,57],[1,5,38],[2,3,83],[2,4,19],[2,5,51],[3,5,65],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=19,(1,2)=30,(1,5)=38,(2,5)=51,(4,5)=51,(1,3)=57,(3,5)=65,(0,2)=81,(2,3)=83,(0,1)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=49\",\"Find(1)=2, Find(5)=5, Add (1,5)=38 Succeeded, w=87\",\"Find(2)=2, Find(5)=2, Add (2,5)=51 Failed, w=87\",\"Find(4)=2, Find(5)=2, Add (4,5)=51 Failed, w=87\",\"Find(1)=2, Find(3)=3, Add (1,3)=57 Succeeded, w=144\",\"Find(3)=2, Find(5)=2, Add (3,5)=65 Failed, w=144\",\"Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=225\",\"Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=225\",\"Find(0)=2, Find(1)=2, Add (0,1)=90 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,81],[1,2,30],[1,3,57],[1,5,38],[2,3,83],[2,4,19],[2,5,51],[3,5,65],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=19,(1,2)=30,(1,5)=38,(2,5)=51,(4,5)=51,(1,3)=57,(3,5)=65,(0,2)=81,(2,3)=83,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=49\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=38 Succeeded, w=87\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=51 Failed, w=87\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=51 Failed, w=87\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=3, Add (1,3)=57 Succeeded, w=144\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=65 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=225\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=225\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=90 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,72],[0,4,67],[1,2,80],[1,3,19],[2,4,95],[3,4,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,72],[0,4,67],[1,2,80],[1,3,19],[2,4,95],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,72],[0,4,67],[1,2,80],[1,3,19],[2,4,95],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,72],[0,4,67],[1,2,80],[1,3,19],[2,4,95],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19, w=19\",\"Add (3,4)=26, w=45\",\"Add (0,4)=67, w=112\",\"Add (1,2)=80, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,72],[0,4,67],[1,2,80],[1,3,19],[2,4,95],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19 Succeeded, w=19\",\"Add (3,4)=26 Succeeded, w=45\",\"Add (0,4)=67 Succeeded, w=112\",\"Add (0,3)=72 Failed, w=112\",\"Add (1,2)=80 Succeeded, w=192\",\"Add (2,4)=95 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,72],[0,4,67],[1,2,80],[1,3,19],[2,4,95],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(3,4)=26,(0,4)=67,(0,3)=72,(1,2)=80,(2,4)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Find(3)=1, Find(4)=4, Add (3,4)=26 Succeeded, w=45\",\"Find(0)=0, Find(4)=1, Add (0,4)=67 Succeeded, w=112\",\"Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=112\",\"Find(1)=1, Find(2)=2, Add (1,2)=80 Succeeded, w=192\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,72],[0,4,67],[1,2,80],[1,3,19],[2,4,95],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(3,4)=26,(0,4)=67,(0,3)=72,(1,2)=80,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=26 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=67 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=80 Succeeded, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,4,73],[1,4,39],[1,5,82],[2,3,6],[2,4,41],[3,5,75],[4,5,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,73],[1,4,39],[1,5,82],[2,3,6],[2,4,41],[3,5,75],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,73],[1,4,39],[1,5,82],[2,3,6],[2,4,41],[3,5,75],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,73],[1,4,39],[1,5,82],[2,3,6],[2,4,41],[3,5,75],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (2,3)=6, w=9\",\"Add (0,1)=33, w=42\",\"Add (1,4)=39, w=81\",\"Add (2,4)=41, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,73],[1,4,39],[1,5,82],[2,3,6],[2,4,41],[3,5,75],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (2,3)=6 Succeeded, w=9\",\"Add (0,1)=33 Succeeded, w=42\",\"Add (1,4)=39 Succeeded, w=81\",\"Add (2,4)=41 Succeeded, w=122\",\"Add (0,4)=73 Failed, w=122\",\"Add (3,5)=75 Failed, w=122\",\"Add (1,5)=82 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,73],[1,4,39],[1,5,82],[2,3,6],[2,4,41],[3,5,75],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(2,3)=6,(0,1)=33,(1,4)=39,(2,4)=41,(0,4)=73,(3,5)=75,(1,5)=82]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=42\",\"Find(1)=0, Find(4)=4, Add (1,4)=39 Succeeded, w=81\",\"Find(2)=2, Find(4)=0, Add (2,4)=41 Succeeded, w=122\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=122\",\"Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=122\",\"Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,4,73],[1,4,39],[1,5,82],[2,3,6],[2,4,41],[3,5,75],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(2,3)=6,(0,1)=33,(1,4)=39,(2,4)=41,(0,4)=73,(3,5)=75,(1,5)=82]\",\"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: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 4}, Find(1)=0, Find(4)=4, Add (1,4)=39 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 4}, Find(2)=2, Find(4)=0, Add (2,4)=41 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 4}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,5,11],[0,6,23],[1,3,56],[1,4,11],[1,5,61],[2,5,19],[3,4,61],[3,6,35],[4,6,11],[5,6,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,5,11],[0,6,23],[1,3,56],[1,4,11],[1,5,61],[2,5,19],[3,4,61],[3,6,35],[4,6,11],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,5,11],[0,6,23],[1,3,56],[1,4,11],[1,5,61],[2,5,19],[3,4,61],[3,6,35],[4,6,11],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,5,11],[0,6,23],[1,3,56],[1,4,11],[1,5,61],[2,5,19],[3,4,61],[3,6,35],[4,6,11],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=3, w=3\",\"Add (0,5)=11, w=14\",\"Add (1,4)=11, w=25\",\"Add (4,6)=11, w=36\",\"Add (2,5)=19, w=55\",\"Add (3,6)=35, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,5,11],[0,6,23],[1,3,56],[1,4,11],[1,5,61],[2,5,19],[3,4,61],[3,6,35],[4,6,11],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=3 Succeeded, w=3\",\"Add (0,5)=11 Succeeded, w=14\",\"Add (1,4)=11 Succeeded, w=25\",\"Add (4,6)=11 Succeeded, w=36\",\"Add (2,5)=19 Succeeded, w=55\",\"Add (0,6)=23 Failed, w=55\",\"Add (3,6)=35 Succeeded, w=90\",\"Add (0,1)=43 Failed, w=90\",\"Add (1,3)=56 Failed, w=90\",\"Add (1,5)=61 Failed, w=90\",\"Add (3,4)=61 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,5,11],[0,6,23],[1,3,56],[1,4,11],[1,5,61],[2,5,19],[3,4,61],[3,6,35],[4,6,11],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=3,(0,5)=11,(1,4)=11,(4,6)=11,(2,5)=19,(0,6)=23,(3,6)=35,(0,1)=43,(1,3)=56,(1,5)=61,(3,4)=61]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=14\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=25\",\"Find(4)=1, Find(6)=5, Add (4,6)=11 Succeeded, w=36\",\"Find(2)=2, Find(5)=1, Add (2,5)=19 Succeeded, w=55\",\"Find(0)=1, Find(6)=1, Add (0,6)=23 Failed, w=55\",\"Find(3)=3, Find(6)=1, Add (3,6)=35 Succeeded, w=90\",\"Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=90\",\"Find(1)=1, Find(3)=1, Add (1,3)=56 Failed, w=90\",\"Find(1)=1, Find(5)=1, Add (1,5)=61 Failed, w=90\",\"Find(3)=1, Find(4)=1, Add (3,4)=61 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,5,11],[0,6,23],[1,3,56],[1,4,11],[1,5,61],[2,5,19],[3,4,61],[3,6,35],[4,6,11],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=3,(0,5)=11,(1,4)=11,(4,6)=11,(2,5)=19,(0,6)=23,(3,6)=35,(0,1)=43,(1,3)=56,(1,5)=61,(3,4)=61]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=14\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=25\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 5}, Find(4)=1, Find(6)=5, Add (4,6)=11 Succeeded, w=36\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 5}, Find(2)=2, Find(5)=1, Add (2,5)=19 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=23 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=35 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=56 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=61 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=61 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,94],[0,2,40],[0,3,96],[0,4,79],[0,5,88],[1,2,43],[1,3,4],[1,4,19],[1,5,19],[2,3,12],[2,4,81],[2,5,90],[3,4,97],[3,5,48],[4,5,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,2,40],[0,3,96],[0,4,79],[0,5,88],[1,2,43],[1,3,4],[1,4,19],[1,5,19],[2,3,12],[2,4,81],[2,5,90],[3,4,97],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,2,40],[0,3,96],[0,4,79],[0,5,88],[1,2,43],[1,3,4],[1,4,19],[1,5,19],[2,3,12],[2,4,81],[2,5,90],[3,4,97],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (0,2)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,2,40],[0,3,96],[0,4,79],[0,5,88],[1,2,43],[1,3,4],[1,4,19],[1,5,19],[2,3,12],[2,4,81],[2,5,90],[3,4,97],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (2,3)=12, w=16\",\"Add (1,4)=19, w=35\",\"Add (1,5)=19, w=54\",\"Add (0,2)=40, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,2,40],[0,3,96],[0,4,79],[0,5,88],[1,2,43],[1,3,4],[1,4,19],[1,5,19],[2,3,12],[2,4,81],[2,5,90],[3,4,97],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (2,3)=12 Succeeded, w=16\",\"Add (1,4)=19 Succeeded, w=35\",\"Add (1,5)=19 Succeeded, w=54\",\"Add (4,5)=38 Failed, w=54\",\"Add (0,2)=40 Succeeded, w=94\",\"Add (1,2)=43 Failed, w=94\",\"Add (3,5)=48 Failed, w=94\",\"Add (0,4)=79 Failed, w=94\",\"Add (2,4)=81 Failed, w=94\",\"Add (0,5)=88 Failed, w=94\",\"Add (2,5)=90 Failed, w=94\",\"Add (0,1)=94 Failed, w=94\",\"Add (0,3)=96 Failed, w=94\",\"Add (3,4)=97 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,2,40],[0,3,96],[0,4,79],[0,5,88],[1,2,43],[1,3,4],[1,4,19],[1,5,19],[2,3,12],[2,4,81],[2,5,90],[3,4,97],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,3)=12,(1,4)=19,(1,5)=19,(4,5)=38,(0,2)=40,(1,2)=43,(3,5)=48,(0,4)=79,(2,4)=81,(0,5)=88,(2,5)=90,(0,1)=94,(0,3)=96,(3,4)=97]\",\"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(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=35\",\"Find(1)=1, Find(5)=5, Add (1,5)=19 Succeeded, w=54\",\"Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=54\",\"Find(0)=0, Find(2)=1, Add (0,2)=40 Succeeded, w=94\",\"Find(1)=1, Find(2)=1, Add (1,2)=43 Failed, w=94\",\"Find(3)=1, Find(5)=1, Add (3,5)=48 Failed, w=94\",\"Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=94\",\"Find(2)=1, Find(4)=1, Add (2,4)=81 Failed, w=94\",\"Find(0)=1, Find(5)=1, Add (0,5)=88 Failed, w=94\",\"Find(2)=1, Find(5)=1, Add (2,5)=90 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=94\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=94\",\"Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,2,40],[0,3,96],[0,4,79],[0,5,88],[1,2,43],[1,3,4],[1,4,19],[1,5,19],[2,3,12],[2,4,81],[2,5,90],[3,4,97],[3,5,48],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,3)=12,(1,4)=19,(1,5)=19,(4,5)=38,(0,2)=40,(1,2)=43,(3,5)=48,(0,4)=79,(2,4)=81,(0,5)=88,(2,5)=90,(0,1)=94,(0,3)=96,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, 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}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=19 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(2)=1, Add (0,2)=40 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=43 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=48 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=81 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=88 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=90 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,51],[0,2,50],[0,3,56],[0,4,19],[0,5,8],[1,2,14],[1,3,19],[1,4,90],[1,5,44],[2,3,36],[2,4,64],[2,5,15],[3,4,69],[3,5,32],[4,5,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,50],[0,3,56],[0,4,19],[0,5,8],[1,2,14],[1,3,19],[1,4,90],[1,5,44],[2,3,36],[2,4,64],[2,5,15],[3,4,69],[3,5,32],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,50],[0,3,56],[0,4,19],[0,5,8],[1,2,14],[1,3,19],[1,4,90],[1,5,44],[2,3,36],[2,4,64],[2,5,15],[3,4,69],[3,5,32],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,50],[0,3,56],[0,4,19],[0,5,8],[1,2,14],[1,3,19],[1,4,90],[1,5,44],[2,3,36],[2,4,64],[2,5,15],[3,4,69],[3,5,32],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (0,5)=8, w=8\",\"Add (1,2)=14, w=22\",\"Add (2,5)=15, w=37\",\"Add (1,3)=19, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,50],[0,3,56],[0,4,19],[0,5,8],[1,2,14],[1,3,19],[1,4,90],[1,5,44],[2,3,36],[2,4,64],[2,5,15],[3,4,69],[3,5,32],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (0,5)=8 Succeeded, w=8\",\"Add (1,2)=14 Succeeded, w=22\",\"Add (2,5)=15 Succeeded, w=37\",\"Add (0,4)=19 Failed, w=37\",\"Add (1,3)=19 Succeeded, w=56\",\"Add (3,5)=32 Failed, w=56\",\"Add (2,3)=36 Failed, w=56\",\"Add (1,5)=44 Failed, w=56\",\"Add (0,2)=50 Failed, w=56\",\"Add (0,1)=51 Failed, w=56\",\"Add (0,3)=56 Failed, w=56\",\"Add (2,4)=64 Failed, w=56\",\"Add (3,4)=69 Failed, w=56\",\"Add (1,4)=90 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,50],[0,3,56],[0,4,19],[0,5,8],[1,2,14],[1,3,19],[1,4,90],[1,5,44],[2,3,36],[2,4,64],[2,5,15],[3,4,69],[3,5,32],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,5)=8,(1,2)=14,(2,5)=15,(0,4)=19,(1,3)=19,(3,5)=32,(2,3)=36,(1,5)=44,(0,2)=50,(0,1)=51,(0,3)=56,(2,4)=64,(3,4)=69,(1,4)=90]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=4, Add (0,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=22\",\"Find(2)=1, Find(5)=4, Add (2,5)=15 Succeeded, w=37\",\"Find(0)=1, Find(4)=1, Add (0,4)=19 Failed, w=37\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=56\",\"Find(3)=1, Find(5)=1, Add (3,5)=32 Failed, w=56\",\"Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=56\",\"Find(1)=1, Find(5)=1, Add (1,5)=44 Failed, w=56\",\"Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=56\",\"Find(0)=1, Find(3)=1, Add (0,3)=56 Failed, w=56\",\"Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=56\",\"Find(3)=1, Find(4)=1, Add (3,4)=69 Failed, w=56\",\"Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,50],[0,3,56],[0,4,19],[0,5,8],[1,2,14],[1,3,19],[1,4,90],[1,5,44],[2,3,36],[2,4,64],[2,5,15],[3,4,69],[3,5,32],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,5)=8,(1,2)=14,(2,5)=15,(0,4)=19,(1,3)=19,(3,5)=32,(2,3)=36,(1,5)=44,(0,2)=50,(0,1)=51,(0,3)=56,(2,4)=64,(3,4)=69,(1,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=8 Succeeded, w=8\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=22\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(2)=1, Find(5)=4, Add (2,5)=15 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(0)=1, Find(4)=1, Add (0,4)=19 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=32 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=44 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=56 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=69 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
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