graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,20],[0,2,28],[0,3,51],[0,4,48],[1,2,65],[1,3,43],[1,4,43],[2,3,90]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,28],[0,3,51],[0,4,48],[1,2,65],[1,3,43],[1,4,43],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,28],[0,3,51],[0,4,48],[1,2,65],[1,3,43],[1,4,43],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,28],[0,3,51],[0,4,48],[1,2,65],[1,3,43],[1,4,43],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (0,2)=28, w=48\",\"Add (1,3)=43, w=91\",\"Add (1,4)=43, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,28],[0,3,51],[0,4,48],[1,2,65],[1,3,43],[1,4,43],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (0,2)=28 Succeeded, w=48\",\"Add (1,3)=43 Succeeded, w=91\",\"Add (1,4)=43 Succeeded, w=134\",\"Add (0,4)=48 Failed, w=134\",\"Add (0,3)=51 Failed, w=134\",\"Add (1,2)=65 Failed, w=134\",\"Add (2,3)=90 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,28],[0,3,51],[0,4,48],[1,2,65],[1,3,43],[1,4,43],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(0,2)=28,(1,3)=43,(1,4)=43,(0,4)=48,(0,3)=51,(1,2)=65,(2,3)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=48\",\"Find(1)=0, Find(3)=3, Add (1,3)=43 Succeeded, w=91\",\"Find(1)=0, Find(4)=4, Add (1,4)=43 Succeeded, w=134\",\"Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=134\",\"Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=134\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,28],[0,3,51],[0,4,48],[1,2,65],[1,3,43],[1,4,43],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(0,2)=28,(1,3)=43,(1,4)=43,(0,4)=48,(0,3)=51,(1,2)=65,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=43 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=43 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,16],[0,3,65],[0,4,56],[0,5,17],[1,2,98],[1,3,78],[1,4,47],[2,3,50],[2,4,37],[2,5,92],[3,4,67],[3,5,83],[4,5,27]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,16],[0,3,65],[0,4,56],[0,5,17],[1,2,98],[1,3,78],[1,4,47],[2,3,50],[2,4,37],[2,5,92],[3,4,67],[3,5,83],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,16],[0,3,65],[0,4,56],[0,5,17],[1,2,98],[1,3,78],[1,4,47],[2,3,50],[2,4,37],[2,5,92],[3,4,67],[3,5,83],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,16],[0,3,65],[0,4,56],[0,5,17],[1,2,98],[1,3,78],[1,4,47],[2,3,50],[2,4,37],[2,5,92],[3,4,67],[3,5,83],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16, w=16\",\"Add (0,5)=17, w=33\",\"Add (4,5)=27, w=60\",\"Add (1,4)=47, w=107\",\"Add (2,3)=50, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,16],[0,3,65],[0,4,56],[0,5,17],[1,2,98],[1,3,78],[1,4,47],[2,3,50],[2,4,37],[2,5,92],[3,4,67],[3,5,83],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16 Succeeded, w=16\",\"Add (0,5)=17 Succeeded, w=33\",\"Add (4,5)=27 Succeeded, w=60\",\"Add (2,4)=37 Failed, w=60\",\"Add (1,4)=47 Succeeded, w=107\",\"Add (2,3)=50 Succeeded, w=157\",\"Add (0,4)=56 Failed, w=157\",\"Add (0,3)=65 Failed, w=157\",\"Add (3,4)=67 Failed, w=157\",\"Add (1,3)=78 Failed, w=157\",\"Add (3,5)=83 Failed, w=157\",\"Add (0,1)=90 Failed, w=157\",\"Add (2,5)=92 Failed, w=157\",\"Add (1,2)=98 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,16],[0,3,65],[0,4,56],[0,5,17],[1,2,98],[1,3,78],[1,4,47],[2,3,50],[2,4,37],[2,5,92],[3,4,67],[3,5,83],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(0,5)=17,(4,5)=27,(2,4)=37,(1,4)=47,(2,3)=50,(0,4)=56,(0,3)=65,(3,4)=67,(1,3)=78,(3,5)=83,(0,1)=90,(2,5)=92,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=33\",\"Find(4)=4, Find(5)=0, Add (4,5)=27 Succeeded, w=60\",\"Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=60\",\"Find(1)=1, Find(4)=0, Add (1,4)=47 Succeeded, w=107\",\"Find(2)=0, Find(3)=3, Add (2,3)=50 Succeeded, w=157\",\"Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=157\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=157\",\"Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=157\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=157\",\"Find(3)=0, Find(5)=0, Add (3,5)=83 Failed, w=157\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=157\",\"Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=157\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,16],[0,3,65],[0,4,56],[0,5,17],[1,2,98],[1,3,78],[1,4,47],[2,3,50],[2,4,37],[2,5,92],[3,4,67],[3,5,83],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(0,5)=17,(4,5)=27,(2,4)=37,(1,4)=47,(2,3)=50,(0,4)=56,(0,3)=65,(3,4)=67,(1,3)=78,(3,5)=83,(0,1)=90,(2,5)=92,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=27 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=47 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=50 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=83 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,81],[0,2,46],[0,3,11],[0,4,61],[0,5,8],[0,6,85],[0,7,18],[1,2,46],[1,3,27],[1,4,80],[1,5,41],[1,6,80],[1,7,95],[2,3,23],[2,4,68],[2,6,51],[3,4,12],[3,5,10],[3,6,37],[3,7,69],[4,5,56],[4,6,31],[4,7,48],[5,6,76],[5,7,70],[6,7,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,46],[0,3,11],[0,4,61],[0,5,8],[0,6,85],[0,7,18],[1,2,46],[1,3,27],[1,4,80],[1,5,41],[1,6,80],[1,7,95],[2,3,23],[2,4,68],[2,6,51],[3,4,12],[3,5,10],[3,6,37],[3,7,69],[4,5,56],[4,6,31],[4,7,48],[5,6,76],[5,7,70],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,46],[0,3,11],[0,4,61],[0,5,8],[0,6,85],[0,7,18],[1,2,46],[1,3,27],[1,4,80],[1,5,41],[1,6,80],[1,7,95],[2,3,23],[2,4,68],[2,6,51],[3,4,12],[3,5,10],[3,6,37],[3,7,69],[4,5,56],[4,6,31],[4,7,48],[5,6,76],[5,7,70],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (0,7)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (4,6)\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,46],[0,3,11],[0,4,61],[0,5,8],[0,6,85],[0,7,18],[1,2,46],[1,3,27],[1,4,80],[1,5,41],[1,6,80],[1,7,95],[2,3,23],[2,4,68],[2,6,51],[3,4,12],[3,5,10],[3,6,37],[3,7,69],[4,5,56],[4,6,31],[4,7,48],[5,6,76],[5,7,70],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8, w=8\",\"Add (3,5)=10, w=18\",\"Add (3,4)=12, w=30\",\"Add (0,7)=18, w=48\",\"Add (2,3)=23, w=71\",\"Add (1,3)=27, w=98\",\"Add (4,6)=31, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,46],[0,3,11],[0,4,61],[0,5,8],[0,6,85],[0,7,18],[1,2,46],[1,3,27],[1,4,80],[1,5,41],[1,6,80],[1,7,95],[2,3,23],[2,4,68],[2,6,51],[3,4,12],[3,5,10],[3,6,37],[3,7,69],[4,5,56],[4,6,31],[4,7,48],[5,6,76],[5,7,70],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8 Succeeded, w=8\",\"Add (3,5)=10 Succeeded, w=18\",\"Add (0,3)=11 Failed, w=18\",\"Add (3,4)=12 Succeeded, w=30\",\"Add (0,7)=18 Succeeded, w=48\",\"Add (2,3)=23 Succeeded, w=71\",\"Add (1,3)=27 Succeeded, w=98\",\"Add (4,6)=31 Succeeded, w=129\",\"Add (6,7)=31 Failed, w=129\",\"Add (3,6)=37 Failed, w=129\",\"Add (1,5)=41 Failed, w=129\",\"Add (0,2)=46 Failed, w=129\",\"Add (1,2)=46 Failed, w=129\",\"Add (4,7)=48 Failed, w=129\",\"Add (2,6)=51 Failed, w=129\",\"Add (4,5)=56 Failed, w=129\",\"Add (0,4)=61 Failed, w=129\",\"Add (2,4)=68 Failed, w=129\",\"Add (3,7)=69 Failed, w=129\",\"Add (5,7)=70 Failed, w=129\",\"Add (5,6)=76 Failed, w=129\",\"Add (1,4)=80 Failed, w=129\",\"Add (1,6)=80 Failed, w=129\",\"Add (0,1)=81 Failed, w=129\",\"Add (0,6)=85 Failed, w=129\",\"Add (1,7)=95 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,46],[0,3,11],[0,4,61],[0,5,8],[0,6,85],[0,7,18],[1,2,46],[1,3,27],[1,4,80],[1,5,41],[1,6,80],[1,7,95],[2,3,23],[2,4,68],[2,6,51],[3,4,12],[3,5,10],[3,6,37],[3,7,69],[4,5,56],[4,6,31],[4,7,48],[5,6,76],[5,7,70],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(3,5)=10,(0,3)=11,(3,4)=12,(0,7)=18,(2,3)=23,(1,3)=27,(4,6)=31,(6,7)=31,(3,6)=37,(1,5)=41,(0,2)=46,(1,2)=46,(4,7)=48,(2,6)=51,(4,5)=56,(0,4)=61,(2,4)=68,(3,7)=69,(5,7)=70,(5,6)=76,(1,4)=80,(1,6)=80,(0,1)=81,(0,6)=85,(1,7)=95]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(3)=3, Find(5)=0, Add (3,5)=10 Succeeded, w=18\",\"Find(0)=0, Find(3)=0, Add (0,3)=11 Failed, w=18\",\"Find(3)=0, Find(4)=4, Add (3,4)=12 Succeeded, w=30\",\"Find(0)=0, Find(7)=7, Add (0,7)=18 Succeeded, w=48\",\"Find(2)=2, Find(3)=0, Add (2,3)=23 Succeeded, w=71\",\"Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=98\",\"Find(4)=0, Find(6)=6, Add (4,6)=31 Succeeded, w=129\",\"Find(6)=0, Find(7)=0, Add (6,7)=31 Failed, w=129\",\"Find(3)=0, Find(6)=0, Add (3,6)=37 Failed, w=129\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=129\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=129\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=129\",\"Find(4)=0, Find(7)=0, Add (4,7)=48 Failed, w=129\",\"Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=129\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=129\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=129\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=129\",\"Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=129\",\"Find(5)=0, Find(7)=0, Add (5,7)=70 Failed, w=129\",\"Find(5)=0, Find(6)=0, Add (5,6)=76 Failed, w=129\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=129\",\"Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=129\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=129\",\"Find(0)=0, Find(6)=0, Add (0,6)=85 Failed, w=129\",\"Find(1)=0, Find(7)=0, Add (1,7)=95 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,46],[0,3,11],[0,4,61],[0,5,8],[0,6,85],[0,7,18],[1,2,46],[1,3,27],[1,4,80],[1,5,41],[1,6,80],[1,7,95],[2,3,23],[2,4,68],[2,6,51],[3,4,12],[3,5,10],[3,6,37],[3,7,69],[4,5,56],[4,6,31],[4,7,48],[5,6,76],[5,7,70],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(3,5)=10,(0,3)=11,(3,4)=12,(0,7)=18,(2,3)=23,(1,3)=27,(4,6)=31,(6,7)=31,(3,6)=37,(1,5)=41,(0,2)=46,(1,2)=46,(4,7)=48,(2,6)=51,(4,5)=56,(0,4)=61,(2,4)=68,(3,7)=69,(5,7)=70,(5,6)=76,(1,4)=80,(1,6)=80,(0,1)=81,(0,6)=85,(1,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(3)=3, Find(5)=0, Add (3,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=11 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(4)=4, Add (3,4)=12 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=18 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=2, Find(3)=0, Add (2,3)=23 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=6, Add (4,6)=31 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=31 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=37 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=129\",\"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)=46 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=48 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=129\",\"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)=70 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=76 Failed, w=129\",\"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)=80 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=129\",\"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)=85 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=95 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,12],[0,2,41],[0,4,19],[1,2,79],[1,4,39],[2,3,37],[2,4,17],[3,4,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,41],[0,4,19],[1,2,79],[1,4,39],[2,3,37],[2,4,17],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,41],[0,4,19],[1,2,79],[1,4,39],[2,3,37],[2,4,17],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,41],[0,4,19],[1,2,79],[1,4,39],[2,3,37],[2,4,17],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (3,4)=15, w=27\",\"Add (2,4)=17, w=44\",\"Add (0,4)=19, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,41],[0,4,19],[1,2,79],[1,4,39],[2,3,37],[2,4,17],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (3,4)=15 Succeeded, w=27\",\"Add (2,4)=17 Succeeded, w=44\",\"Add (0,4)=19 Succeeded, w=63\",\"Add (2,3)=37 Failed, w=63\",\"Add (1,4)=39 Failed, w=63\",\"Add (0,2)=41 Failed, w=63\",\"Add (1,2)=79 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,41],[0,4,19],[1,2,79],[1,4,39],[2,3,37],[2,4,17],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(3,4)=15,(2,4)=17,(0,4)=19,(2,3)=37,(1,4)=39,(0,2)=41,(1,2)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=27\",\"Find(2)=2, Find(4)=3, Add (2,4)=17 Succeeded, w=44\",\"Find(0)=0, Find(4)=3, Add (0,4)=19 Succeeded, w=63\",\"Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=63\",\"Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=63\",\"Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=63\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,41],[0,4,19],[1,2,79],[1,4,39],[2,3,37],[2,4,17],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(3,4)=15,(2,4)=17,(0,4)=19,(2,3)=37,(1,4)=39,(0,2)=41,(1,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=17 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=19 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,24],[0,2,76],[0,3,23],[1,2,94],[1,3,7],[1,4,88],[2,3,99],[2,4,15],[3,4,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,76],[0,3,23],[1,2,94],[1,3,7],[1,4,88],[2,3,99],[2,4,15],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,76],[0,3,23],[1,2,94],[1,3,7],[1,4,88],[2,3,99],[2,4,15],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,76],[0,3,23],[1,2,94],[1,3,7],[1,4,88],[2,3,99],[2,4,15],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (3,4)=11, w=18\",\"Add (2,4)=15, w=33\",\"Add (0,3)=23, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,76],[0,3,23],[1,2,94],[1,3,7],[1,4,88],[2,3,99],[2,4,15],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (3,4)=11 Succeeded, w=18\",\"Add (2,4)=15 Succeeded, w=33\",\"Add (0,3)=23 Succeeded, w=56\",\"Add (0,1)=24 Failed, w=56\",\"Add (0,2)=76 Failed, w=56\",\"Add (1,4)=88 Failed, w=56\",\"Add (1,2)=94 Failed, w=56\",\"Add (2,3)=99 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,76],[0,3,23],[1,2,94],[1,3,7],[1,4,88],[2,3,99],[2,4,15],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(3,4)=11,(2,4)=15,(0,3)=23,(0,1)=24,(0,2)=76,(1,4)=88,(1,2)=94,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(3)=1, Find(4)=4, Add (3,4)=11 Succeeded, w=18\",\"Find(2)=2, Find(4)=1, Add (2,4)=15 Succeeded, w=33\",\"Find(0)=0, Find(3)=1, Add (0,3)=23 Succeeded, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=24 Failed, w=56\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=56\",\"Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=56\",\"Find(1)=1, Find(2)=1, Add (1,2)=94 Failed, w=56\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,76],[0,3,23],[1,2,94],[1,3,7],[1,4,88],[2,3,99],[2,4,15],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(3,4)=11,(2,4)=15,(0,3)=23,(0,1)=24,(0,2)=76,(1,4)=88,(1,2)=94,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=15 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=23 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=24 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=94 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,31],[0,2,22],[0,3,91],[0,4,98],[0,6,58],[1,2,90],[1,3,33],[1,4,98],[1,5,87],[1,6,74],[2,3,98],[2,4,12],[2,5,94],[2,6,83],[3,4,69],[3,5,11],[3,6,97],[4,5,80],[4,6,41],[5,6,10]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,22],[0,3,91],[0,4,98],[0,6,58],[1,2,90],[1,3,33],[1,4,98],[1,5,87],[1,6,74],[2,3,98],[2,4,12],[2,5,94],[2,6,83],[3,4,69],[3,5,11],[3,6,97],[4,5,80],[4,6,41],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,22],[0,3,91],[0,4,98],[0,6,58],[1,2,90],[1,3,33],[1,4,98],[1,5,87],[1,6,74],[2,3,98],[2,4,12],[2,5,94],[2,6,83],[3,4,69],[3,5,11],[3,6,97],[4,5,80],[4,6,41],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,22],[0,3,91],[0,4,98],[0,6,58],[1,2,90],[1,3,33],[1,4,98],[1,5,87],[1,6,74],[2,3,98],[2,4,12],[2,5,94],[2,6,83],[3,4,69],[3,5,11],[3,6,97],[4,5,80],[4,6,41],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=10, w=10\",\"Add (3,5)=11, w=21\",\"Add (2,4)=12, w=33\",\"Add (0,2)=22, w=55\",\"Add (0,1)=31, w=86\",\"Add (1,3)=33, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,22],[0,3,91],[0,4,98],[0,6,58],[1,2,90],[1,3,33],[1,4,98],[1,5,87],[1,6,74],[2,3,98],[2,4,12],[2,5,94],[2,6,83],[3,4,69],[3,5,11],[3,6,97],[4,5,80],[4,6,41],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=10 Succeeded, w=10\",\"Add (3,5)=11 Succeeded, w=21\",\"Add (2,4)=12 Succeeded, w=33\",\"Add (0,2)=22 Succeeded, w=55\",\"Add (0,1)=31 Succeeded, w=86\",\"Add (1,3)=33 Succeeded, w=119\",\"Add (4,6)=41 Failed, w=119\",\"Add (0,6)=58 Failed, w=119\",\"Add (3,4)=69 Failed, w=119\",\"Add (1,6)=74 Failed, w=119\",\"Add (4,5)=80 Failed, w=119\",\"Add (2,6)=83 Failed, w=119\",\"Add (1,5)=87 Failed, w=119\",\"Add (1,2)=90 Failed, w=119\",\"Add (0,3)=91 Failed, w=119\",\"Add (2,5)=94 Failed, w=119\",\"Add (3,6)=97 Failed, w=119\",\"Add (0,4)=98 Failed, w=119\",\"Add (1,4)=98 Failed, w=119\",\"Add (2,3)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,22],[0,3,91],[0,4,98],[0,6,58],[1,2,90],[1,3,33],[1,4,98],[1,5,87],[1,6,74],[2,3,98],[2,4,12],[2,5,94],[2,6,83],[3,4,69],[3,5,11],[3,6,97],[4,5,80],[4,6,41],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=10,(3,5)=11,(2,4)=12,(0,2)=22,(0,1)=31,(1,3)=33,(4,6)=41,(0,6)=58,(3,4)=69,(1,6)=74,(4,5)=80,(2,6)=83,(1,5)=87,(1,2)=90,(0,3)=91,(2,5)=94,(3,6)=97,(0,4)=98,(1,4)=98,(2,3)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=10 Succeeded, w=10\",\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=21\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=33\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=55\",\"Find(0)=2, Find(1)=1, Add (0,1)=31 Succeeded, w=86\",\"Find(1)=2, Find(3)=5, Add (1,3)=33 Succeeded, w=119\",\"Find(4)=2, Find(6)=2, Add (4,6)=41 Failed, w=119\",\"Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=119\",\"Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=119\",\"Find(1)=2, Find(6)=2, Add (1,6)=74 Failed, w=119\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=119\",\"Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=119\",\"Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=119\",\"Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=119\",\"Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=119\",\"Find(2)=2, Find(5)=2, Add (2,5)=94 Failed, w=119\",\"Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=119\",\"Find(0)=2, Find(4)=2, Add (0,4)=98 Failed, w=119\",\"Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=119\",\"Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,22],[0,3,91],[0,4,98],[0,6,58],[1,2,90],[1,3,33],[1,4,98],[1,5,87],[1,6,74],[2,3,98],[2,4,12],[2,5,94],[2,6,83],[3,4,69],[3,5,11],[3,6,97],[4,5,80],[4,6,41],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=10,(3,5)=11,(2,4)=12,(0,2)=22,(0,1)=31,(1,3)=33,(4,6)=41,(0,6)=58,(3,4)=69,(1,6)=74,(4,5)=80,(2,6)=83,(1,5)=87,(1,2)=90,(0,3)=91,(2,5)=94,(3,6)=97,(0,4)=98,(1,4)=98,(2,3)=98]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=33\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5}, Find(0)=2, Find(1)=1, Add (0,1)=31 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 5, 4: 2, 5: 2, 6: 5}, Find(1)=2, Find(3)=5, Add (1,3)=33 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 5, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=41 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 5, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=74 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=94 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=98 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,29],[0,2,2],[0,3,29],[0,7,63],[1,3,13],[1,4,0],[1,7,67],[2,3,99],[2,6,13],[3,5,36],[4,5,45],[4,6,16],[4,7,77],[5,7,35],[6,7,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,2],[0,3,29],[0,7,63],[1,3,13],[1,4,0],[1,7,67],[2,3,99],[2,6,13],[3,5,36],[4,5,45],[4,6,16],[4,7,77],[5,7,35],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,2],[0,3,29],[0,7,63],[1,3,13],[1,4,0],[1,7,67],[2,3,99],[2,6,13],[3,5,36],[4,5,45],[4,6,16],[4,7,77],[5,7,35],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (5,7)\",\"Add (3,5)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,2],[0,3,29],[0,7,63],[1,3,13],[1,4,0],[1,7,67],[2,3,99],[2,6,13],[3,5,36],[4,5,45],[4,6,16],[4,7,77],[5,7,35],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,2)=2, w=2\",\"Add (1,3)=13, w=15\",\"Add (2,6)=13, w=28\",\"Add (4,6)=16, w=44\",\"Add (5,7)=35, w=79\",\"Add (3,5)=36, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,2],[0,3,29],[0,7,63],[1,3,13],[1,4,0],[1,7,67],[2,3,99],[2,6,13],[3,5,36],[4,5,45],[4,6,16],[4,7,77],[5,7,35],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,3)=13 Succeeded, w=15\",\"Add (2,6)=13 Succeeded, w=28\",\"Add (4,6)=16 Succeeded, w=44\",\"Add (0,1)=29 Failed, w=44\",\"Add (0,3)=29 Failed, w=44\",\"Add (5,7)=35 Succeeded, w=79\",\"Add (3,5)=36 Succeeded, w=115\",\"Add (4,5)=45 Failed, w=115\",\"Add (6,7)=56 Failed, w=115\",\"Add (0,7)=63 Failed, w=115\",\"Add (1,7)=67 Failed, w=115\",\"Add (4,7)=77 Failed, w=115\",\"Add (2,3)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,2],[0,3,29],[0,7,63],[1,3,13],[1,4,0],[1,7,67],[2,3,99],[2,6,13],[3,5,36],[4,5,45],[4,6,16],[4,7,77],[5,7,35],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,2)=2,(1,3)=13,(2,6)=13,(4,6)=16,(0,1)=29,(0,3)=29,(5,7)=35,(3,5)=36,(4,5)=45,(6,7)=56,(0,7)=63,(1,7)=67,(4,7)=77,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=15\",\"Find(2)=0, Find(6)=6, Add (2,6)=13 Succeeded, w=28\",\"Find(4)=1, Find(6)=0, Add (4,6)=16 Succeeded, w=44\",\"Find(0)=1, Find(1)=1, Add (0,1)=29 Failed, w=44\",\"Find(0)=1, Find(3)=1, Add (0,3)=29 Failed, w=44\",\"Find(5)=5, Find(7)=7, Add (5,7)=35 Succeeded, w=79\",\"Find(3)=1, Find(5)=5, Add (3,5)=36 Succeeded, w=115\",\"Find(4)=1, Find(5)=1, Add (4,5)=45 Failed, w=115\",\"Find(6)=1, Find(7)=1, Add (6,7)=56 Failed, w=115\",\"Find(0)=1, Find(7)=1, Add (0,7)=63 Failed, w=115\",\"Find(1)=1, Find(7)=1, Add (1,7)=67 Failed, w=115\",\"Find(4)=1, Find(7)=1, Add (4,7)=77 Failed, w=115\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,2],[0,3,29],[0,7,63],[1,3,13],[1,4,0],[1,7,67],[2,3,99],[2,6,13],[3,5,36],[4,5,45],[4,6,16],[4,7,77],[5,7,35],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,2)=2,(1,3)=13,(2,6)=13,(4,6)=16,(0,1)=29,(0,3)=29,(5,7)=35,(3,5)=36,(4,5)=45,(6,7)=56,(0,7)=63,(1,7)=67,(4,7)=77,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(6)=6, Add (2,6)=13 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 0, 7: 7}, Find(4)=1, Find(6)=0, Add (4,6)=16 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 0, 7: 7}, Find(0)=1, Find(1)=1, Add (0,1)=29 Failed, w=44\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 0, 7: 7}, Find(0)=1, Find(3)=1, Add (0,3)=29 Failed, w=44\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 0, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=35 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 0, 7: 5}, Find(3)=1, Find(5)=5, Add (3,5)=36 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 0, 7: 5}, Find(4)=1, Find(5)=1, Add (4,5)=45 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=56 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=63 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=67 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=77 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,85],[0,2,15],[0,3,1],[0,4,3],[0,5,100],[1,2,80],[1,4,12],[1,5,66],[1,6,79],[2,3,5],[2,4,79],[2,5,29],[2,7,73],[3,5,21],[3,6,82],[4,5,36],[4,6,88],[4,7,57],[5,6,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,15],[0,3,1],[0,4,3],[0,5,100],[1,2,80],[1,4,12],[1,5,66],[1,6,79],[2,3,5],[2,4,79],[2,5,29],[2,7,73],[3,5,21],[3,6,82],[4,5,36],[4,6,88],[4,7,57],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "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],[0,2,15],[0,3,1],[0,4,3],[0,5,100],[1,2,80],[1,4,12],[1,5,66],[1,6,79],[2,3,5],[2,4,79],[2,5,29],[2,7,73],[3,5,21],[3,6,82],[4,5,36],[4,6,88],[4,7,57],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (5,6)\",\"Add (4,7)\"],\"Answer\":133}",
"role": "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],[0,2,15],[0,3,1],[0,4,3],[0,5,100],[1,2,80],[1,4,12],[1,5,66],[1,6,79],[2,3,5],[2,4,79],[2,5,29],[2,7,73],[3,5,21],[3,6,82],[4,5,36],[4,6,88],[4,7,57],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (0,4)=3, w=4\",\"Add (2,3)=5, w=9\",\"Add (1,4)=12, w=21\",\"Add (3,5)=21, w=42\",\"Add (5,6)=34, w=76\",\"Add (4,7)=57, w=133\"],\"Answer\":133}",
"role": "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],[0,2,15],[0,3,1],[0,4,3],[0,5,100],[1,2,80],[1,4,12],[1,5,66],[1,6,79],[2,3,5],[2,4,79],[2,5,29],[2,7,73],[3,5,21],[3,6,82],[4,5,36],[4,6,88],[4,7,57],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (0,4)=3 Succeeded, w=4\",\"Add (2,3)=5 Succeeded, w=9\",\"Add (1,4)=12 Succeeded, w=21\",\"Add (0,2)=15 Failed, w=21\",\"Add (3,5)=21 Succeeded, w=42\",\"Add (2,5)=29 Failed, w=42\",\"Add (5,6)=34 Succeeded, w=76\",\"Add (4,5)=36 Failed, w=76\",\"Add (4,7)=57 Succeeded, w=133\",\"Add (1,5)=66 Failed, w=133\",\"Add (2,7)=73 Failed, w=133\",\"Add (1,6)=79 Failed, w=133\",\"Add (2,4)=79 Failed, w=133\",\"Add (1,2)=80 Failed, w=133\",\"Add (3,6)=82 Failed, w=133\",\"Add (0,1)=85 Failed, w=133\",\"Add (4,6)=88 Failed, w=133\",\"Add (0,5)=100 Failed, w=133\"],\"Answer\":133}",
"role": "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],[0,2,15],[0,3,1],[0,4,3],[0,5,100],[1,2,80],[1,4,12],[1,5,66],[1,6,79],[2,3,5],[2,4,79],[2,5,29],[2,7,73],[3,5,21],[3,6,82],[4,5,36],[4,6,88],[4,7,57],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,4)=3,(2,3)=5,(1,4)=12,(0,2)=15,(3,5)=21,(2,5)=29,(5,6)=34,(4,5)=36,(4,7)=57,(1,5)=66,(2,7)=73,(1,6)=79,(2,4)=79,(1,2)=80,(3,6)=82,(0,1)=85,(4,6)=88,(0,5)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=4\",\"Find(2)=2, Find(3)=0, Add (2,3)=5 Succeeded, w=9\",\"Find(1)=1, Find(4)=0, Add (1,4)=12 Succeeded, w=21\",\"Find(0)=0, Find(2)=0, Add (0,2)=15 Failed, w=21\",\"Find(3)=0, Find(5)=5, Add (3,5)=21 Succeeded, w=42\",\"Find(2)=0, Find(5)=0, Add (2,5)=29 Failed, w=42\",\"Find(5)=0, Find(6)=6, Add (5,6)=34 Succeeded, w=76\",\"Find(4)=0, Find(5)=0, Add (4,5)=36 Failed, w=76\",\"Find(4)=0, Find(7)=7, Add (4,7)=57 Succeeded, w=133\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=133\",\"Find(2)=0, Find(7)=0, Add (2,7)=73 Failed, w=133\",\"Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=133\",\"Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=133\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=133\",\"Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=133\",\"Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=133\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=133\",\"Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=133\"],\"Answer\":133}",
"role": "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],[0,2,15],[0,3,1],[0,4,3],[0,5,100],[1,2,80],[1,4,12],[1,5,66],[1,6,79],[2,3,5],[2,4,79],[2,5,29],[2,7,73],[3,5,21],[3,6,82],[4,5,36],[4,6,88],[4,7,57],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,4)=3,(2,3)=5,(1,4)=12,(0,2)=15,(3,5)=21,(2,5)=29,(5,6)=34,(4,5)=36,(4,7)=57,(1,5)=66,(2,7)=73,(1,6)=79,(2,4)=79,(1,2)=80,(3,6)=82,(0,1)=85,(4,6)=88,(0,5)=100]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=0, Add (0,2)=15 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(5)=5, Add (3,5)=21 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=29 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=6, Add (5,6)=34 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=36 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=57 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=73 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=133\",\"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)=80 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,2,39],[1,2,32],[1,3,5],[1,5,65],[2,4,31],[2,5,50],[4,5,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,39],[1,2,32],[1,3,5],[1,5,65],[2,4,31],[2,5,50],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,39],[1,2,32],[1,3,5],[1,5,65],[2,4,31],[2,5,50],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (4,5)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,39],[1,2,32],[1,3,5],[1,5,65],[2,4,31],[2,5,50],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (2,4)=31, w=36\",\"Add (1,2)=32, w=68\",\"Add (0,2)=39, w=107\",\"Add (4,5)=42, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,39],[1,2,32],[1,3,5],[1,5,65],[2,4,31],[2,5,50],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,4)=31 Succeeded, w=36\",\"Add (1,2)=32 Succeeded, w=68\",\"Add (0,2)=39 Succeeded, w=107\",\"Add (4,5)=42 Succeeded, w=149\",\"Add (2,5)=50 Failed, w=149\",\"Add (1,5)=65 Failed, w=149\",\"Add (0,1)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,39],[1,2,32],[1,3,5],[1,5,65],[2,4,31],[2,5,50],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,4)=31,(1,2)=32,(0,2)=39,(4,5)=42,(2,5)=50,(1,5)=65,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=36\",\"Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=68\",\"Find(0)=0, Find(2)=1, Add (0,2)=39 Succeeded, w=107\",\"Find(4)=1, Find(5)=5, Add (4,5)=42 Succeeded, w=149\",\"Find(2)=1, Find(5)=1, Add (2,5)=50 Failed, w=149\",\"Find(1)=1, Find(5)=1, Add (1,5)=65 Failed, w=149\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,39],[1,2,32],[1,3,5],[1,5,65],[2,4,31],[2,5,50],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,4)=31,(1,2)=32,(0,2)=39,(4,5)=42,(2,5)=50,(1,5)=65,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=39 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=42 Succeeded, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=50 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=65 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,77],[0,2,97],[0,3,18],[0,4,80],[0,5,90],[1,2,99],[1,3,58],[1,4,84],[1,5,41],[2,3,71],[2,4,25],[2,5,85],[3,4,80],[4,5,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,97],[0,3,18],[0,4,80],[0,5,90],[1,2,99],[1,3,58],[1,4,84],[1,5,41],[2,3,71],[2,4,25],[2,5,85],[3,4,80],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,97],[0,3,18],[0,4,80],[0,5,90],[1,2,99],[1,3,58],[1,4,84],[1,5,41],[2,3,71],[2,4,25],[2,5,85],[3,4,80],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (1,3)\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,97],[0,3,18],[0,4,80],[0,5,90],[1,2,99],[1,3,58],[1,4,84],[1,5,41],[2,3,71],[2,4,25],[2,5,85],[3,4,80],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=18, w=18\",\"Add (2,4)=25, w=43\",\"Add (4,5)=26, w=69\",\"Add (1,5)=41, w=110\",\"Add (1,3)=58, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,97],[0,3,18],[0,4,80],[0,5,90],[1,2,99],[1,3,58],[1,4,84],[1,5,41],[2,3,71],[2,4,25],[2,5,85],[3,4,80],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=18 Succeeded, w=18\",\"Add (2,4)=25 Succeeded, w=43\",\"Add (4,5)=26 Succeeded, w=69\",\"Add (1,5)=41 Succeeded, w=110\",\"Add (1,3)=58 Succeeded, w=168\",\"Add (2,3)=71 Failed, w=168\",\"Add (0,1)=77 Failed, w=168\",\"Add (0,4)=80 Failed, w=168\",\"Add (3,4)=80 Failed, w=168\",\"Add (1,4)=84 Failed, w=168\",\"Add (2,5)=85 Failed, w=168\",\"Add (0,5)=90 Failed, w=168\",\"Add (0,2)=97 Failed, w=168\",\"Add (1,2)=99 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,97],[0,3,18],[0,4,80],[0,5,90],[1,2,99],[1,3,58],[1,4,84],[1,5,41],[2,3,71],[2,4,25],[2,5,85],[3,4,80],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=18,(2,4)=25,(4,5)=26,(1,5)=41,(1,3)=58,(2,3)=71,(0,1)=77,(0,4)=80,(3,4)=80,(1,4)=84,(2,5)=85,(0,5)=90,(0,2)=97,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=43\",\"Find(4)=2, Find(5)=5, Add (4,5)=26 Succeeded, w=69\",\"Find(1)=1, Find(5)=2, Add (1,5)=41 Succeeded, w=110\",\"Find(1)=2, Find(3)=0, Add (1,3)=58 Succeeded, w=168\",\"Find(2)=2, Find(3)=2, Add (2,3)=71 Failed, w=168\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=168\",\"Find(0)=2, Find(4)=2, Add (0,4)=80 Failed, w=168\",\"Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=168\",\"Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=168\",\"Find(2)=2, Find(5)=2, Add (2,5)=85 Failed, w=168\",\"Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=168\",\"Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=168\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,97],[0,3,18],[0,4,80],[0,5,90],[1,2,99],[1,3,58],[1,4,84],[1,5,41],[2,3,71],[2,4,25],[2,5,85],[3,4,80],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=18,(2,4)=25,(4,5)=26,(1,5)=41,(1,3)=58,(2,3)=71,(0,1)=77,(0,4)=80,(3,4)=80,(1,4)=84,(2,5)=85,(0,5)=90,(0,2)=97,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=26 Succeeded, w=69\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=41 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(1)=2, Find(3)=0, Add (1,3)=58 Succeeded, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=71 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=80 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=85 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,77],[0,3,90],[0,4,84],[0,5,27],[1,2,75],[1,3,45],[1,5,89],[2,3,25],[2,4,83],[2,5,76],[3,4,11],[4,5,39]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,77],[0,3,90],[0,4,84],[0,5,27],[1,2,75],[1,3,45],[1,5,89],[2,3,25],[2,4,83],[2,5,76],[3,4,11],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,77],[0,3,90],[0,4,84],[0,5,27],[1,2,75],[1,3,45],[1,5,89],[2,3,25],[2,4,83],[2,5,76],[3,4,11],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (1,3)\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,77],[0,3,90],[0,4,84],[0,5,27],[1,2,75],[1,3,45],[1,5,89],[2,3,25],[2,4,83],[2,5,76],[3,4,11],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (2,3)=25, w=36\",\"Add (0,5)=27, w=63\",\"Add (4,5)=39, w=102\",\"Add (1,3)=45, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,77],[0,3,90],[0,4,84],[0,5,27],[1,2,75],[1,3,45],[1,5,89],[2,3,25],[2,4,83],[2,5,76],[3,4,11],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (2,3)=25 Succeeded, w=36\",\"Add (0,5)=27 Succeeded, w=63\",\"Add (4,5)=39 Succeeded, w=102\",\"Add (1,3)=45 Succeeded, w=147\",\"Add (0,1)=49 Failed, w=147\",\"Add (1,2)=75 Failed, w=147\",\"Add (2,5)=76 Failed, w=147\",\"Add (0,2)=77 Failed, w=147\",\"Add (2,4)=83 Failed, w=147\",\"Add (0,4)=84 Failed, w=147\",\"Add (1,5)=89 Failed, w=147\",\"Add (0,3)=90 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,77],[0,3,90],[0,4,84],[0,5,27],[1,2,75],[1,3,45],[1,5,89],[2,3,25],[2,4,83],[2,5,76],[3,4,11],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(2,3)=25,(0,5)=27,(4,5)=39,(1,3)=45,(0,1)=49,(1,2)=75,(2,5)=76,(0,2)=77,(2,4)=83,(0,4)=84,(1,5)=89,(0,3)=90]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=36\",\"Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=63\",\"Find(4)=3, Find(5)=0, Add (4,5)=39 Succeeded, w=102\",\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=147\",\"Find(0)=3, Find(1)=3, Add (0,1)=49 Failed, w=147\",\"Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=147\",\"Find(2)=3, Find(5)=3, Add (2,5)=76 Failed, w=147\",\"Find(0)=3, Find(2)=3, Add (0,2)=77 Failed, w=147\",\"Find(2)=3, Find(4)=3, Add (2,4)=83 Failed, w=147\",\"Find(0)=3, Find(4)=3, Add (0,4)=84 Failed, w=147\",\"Find(1)=3, Find(5)=3, Add (1,5)=89 Failed, w=147\",\"Find(0)=3, Find(3)=3, Add (0,3)=90 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,77],[0,3,90],[0,4,84],[0,5,27],[1,2,75],[1,3,45],[1,5,89],[2,3,25],[2,4,83],[2,5,76],[3,4,11],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(2,3)=25,(0,5)=27,(4,5)=39,(1,3)=45,(0,1)=49,(1,2)=75,(2,5)=76,(0,2)=77,(2,4)=83,(0,4)=84,(1,5)=89,(0,3)=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: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=63\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(4)=3, Find(5)=0, Add (4,5)=39 Succeeded, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(1)=3, Add (0,1)=49 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=76 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=77 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=83 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=84 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=89 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=90 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,33],[0,4,42],[1,2,9],[1,3,89],[2,3,10],[2,4,10],[3,4,49]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,42],[1,2,9],[1,3,89],[2,3,10],[2,4,10],[3,4,49]]}",
"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\":[[0,3,33],[0,4,42],[1,2,9],[1,3,89],[2,3,10],[2,4,10],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,42],[1,2,9],[1,3,89],[2,3,10],[2,4,10],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (2,3)=10, w=19\",\"Add (2,4)=10, w=29\",\"Add (0,3)=33, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[0,4,42],[1,2,9],[1,3,89],[2,3,10],[2,4,10],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (2,3)=10 Succeeded, w=19\",\"Add (2,4)=10 Succeeded, w=29\",\"Add (0,3)=33 Succeeded, w=62\",\"Add (0,4)=42 Failed, w=62\",\"Add (3,4)=49 Failed, w=62\",\"Add (1,3)=89 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\":[[0,3,33],[0,4,42],[1,2,9],[1,3,89],[2,3,10],[2,4,10],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(2,3)=10,(2,4)=10,(0,3)=33,(0,4)=42,(3,4)=49,(1,3)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(2)=1, Find(3)=3, Add (2,3)=10 Succeeded, w=19\",\"Find(2)=1, Find(4)=4, Add (2,4)=10 Succeeded, w=29\",\"Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=62\",\"Find(0)=1, Find(4)=1, Add (0,4)=42 Failed, w=62\",\"Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=62\",\"Find(1)=1, Find(3)=1, Add (1,3)=89 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\":[[0,3,33],[0,4,42],[1,2,9],[1,3,89],[2,3,10],[2,4,10],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(2,3)=10,(2,4)=10,(0,3)=33,(0,4)=42,(3,4)=49,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=10 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=42 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,3,55],[0,4,28],[0,5,14],[1,2,60],[1,3,57],[1,4,36],[2,3,59],[2,4,22],[3,4,21],[4,5,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,3,55],[0,4,28],[0,5,14],[1,2,60],[1,3,57],[1,4,36],[2,3,59],[2,4,22],[3,4,21],[4,5,2]]}",
"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],\"edges\":[[0,1,75],[0,3,55],[0,4,28],[0,5,14],[1,2,60],[1,3,57],[1,4,36],[2,3,59],[2,4,22],[3,4,21],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,3,55],[0,4,28],[0,5,14],[1,2,60],[1,3,57],[1,4,36],[2,3,59],[2,4,22],[3,4,21],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (0,5)=14, w=16\",\"Add (3,4)=21, w=37\",\"Add (2,4)=22, w=59\",\"Add (1,4)=36, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,3,55],[0,4,28],[0,5,14],[1,2,60],[1,3,57],[1,4,36],[2,3,59],[2,4,22],[3,4,21],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (0,5)=14 Succeeded, w=16\",\"Add (3,4)=21 Succeeded, w=37\",\"Add (2,4)=22 Succeeded, w=59\",\"Add (0,4)=28 Failed, w=59\",\"Add (1,4)=36 Succeeded, w=95\",\"Add (0,3)=55 Failed, w=95\",\"Add (1,3)=57 Failed, w=95\",\"Add (2,3)=59 Failed, w=95\",\"Add (1,2)=60 Failed, w=95\",\"Add (0,1)=75 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],\"edges\":[[0,1,75],[0,3,55],[0,4,28],[0,5,14],[1,2,60],[1,3,57],[1,4,36],[2,3,59],[2,4,22],[3,4,21],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(0,5)=14,(3,4)=21,(2,4)=22,(0,4)=28,(1,4)=36,(0,3)=55,(1,3)=57,(2,3)=59,(1,2)=60,(0,1)=75]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=4, Add (0,5)=14 Succeeded, w=16\",\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=37\",\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=59\",\"Find(0)=4, Find(4)=4, Add (0,4)=28 Failed, w=59\",\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=95\",\"Find(0)=4, Find(3)=4, Add (0,3)=55 Failed, w=95\",\"Find(1)=4, Find(3)=4, Add (1,3)=57 Failed, w=95\",\"Find(2)=4, Find(3)=4, Add (2,3)=59 Failed, w=95\",\"Find(1)=4, Find(2)=4, Add (1,2)=60 Failed, w=95\",\"Find(0)=4, Find(1)=4, Add (0,1)=75 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],\"edges\":[[0,1,75],[0,3,55],[0,4,28],[0,5,14],[1,2,60],[1,3,57],[1,4,36],[2,3,59],[2,4,22],[3,4,21],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(0,5)=14,(3,4)=21,(2,4)=22,(0,4)=28,(1,4)=36,(0,3)=55,(1,3)=57,(2,3)=59,(1,2)=60,(0,1)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=14 Succeeded, w=16\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=37\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=59\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=28 Failed, w=59\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=95\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=55 Failed, w=95\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=57 Failed, w=95\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=4, Add (2,3)=59 Failed, w=95\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=4, Add (1,2)=60 Failed, w=95\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=75 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,17],[0,3,0],[0,4,8],[0,5,47],[0,6,72],[1,2,18],[1,3,27],[1,4,90],[1,5,9],[1,6,36],[2,3,4],[2,4,76],[2,5,47],[3,4,32],[3,5,53],[3,6,59],[4,5,62],[4,6,5],[5,6,28]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,17],[0,3,0],[0,4,8],[0,5,47],[0,6,72],[1,2,18],[1,3,27],[1,4,90],[1,5,9],[1,6,36],[2,3,4],[2,4,76],[2,5,47],[3,4,32],[3,5,53],[3,6,59],[4,5,62],[4,6,5],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":44}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,17],[0,3,0],[0,4,8],[0,5,47],[0,6,72],[1,2,18],[1,3,27],[1,4,90],[1,5,9],[1,6,36],[2,3,4],[2,4,76],[2,5,47],[3,4,32],[3,5,53],[3,6,59],[4,5,62],[4,6,5],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (1,2)\"],\"Answer\":44}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,17],[0,3,0],[0,4,8],[0,5,47],[0,6,72],[1,2,18],[1,3,27],[1,4,90],[1,5,9],[1,6,36],[2,3,4],[2,4,76],[2,5,47],[3,4,32],[3,5,53],[3,6,59],[4,5,62],[4,6,5],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,3)=4, w=4\",\"Add (4,6)=5, w=9\",\"Add (0,4)=8, w=17\",\"Add (1,5)=9, w=26\",\"Add (1,2)=18, w=44\"],\"Answer\":44}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,17],[0,3,0],[0,4,8],[0,5,47],[0,6,72],[1,2,18],[1,3,27],[1,4,90],[1,5,9],[1,6,36],[2,3,4],[2,4,76],[2,5,47],[3,4,32],[3,5,53],[3,6,59],[4,5,62],[4,6,5],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,3)=4 Succeeded, w=4\",\"Add (4,6)=5 Succeeded, w=9\",\"Add (0,4)=8 Succeeded, w=17\",\"Add (1,5)=9 Succeeded, w=26\",\"Add (0,2)=17 Failed, w=26\",\"Add (1,2)=18 Succeeded, w=44\",\"Add (1,3)=27 Failed, w=44\",\"Add (5,6)=28 Failed, w=44\",\"Add (3,4)=32 Failed, w=44\",\"Add (1,6)=36 Failed, w=44\",\"Add (0,5)=47 Failed, w=44\",\"Add (2,5)=47 Failed, w=44\",\"Add (3,5)=53 Failed, w=44\",\"Add (3,6)=59 Failed, w=44\",\"Add (4,5)=62 Failed, w=44\",\"Add (0,6)=72 Failed, w=44\",\"Add (2,4)=76 Failed, w=44\",\"Add (1,4)=90 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,17],[0,3,0],[0,4,8],[0,5,47],[0,6,72],[1,2,18],[1,3,27],[1,4,90],[1,5,9],[1,6,36],[2,3,4],[2,4,76],[2,5,47],[3,4,32],[3,5,53],[3,6,59],[4,5,62],[4,6,5],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=4,(4,6)=5,(0,4)=8,(1,5)=9,(0,2)=17,(1,2)=18,(1,3)=27,(5,6)=28,(3,4)=32,(1,6)=36,(0,5)=47,(2,5)=47,(3,5)=53,(3,6)=59,(4,5)=62,(0,6)=72,(2,4)=76,(1,4)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=0, Add (2,3)=4 Succeeded, w=4\",\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=17\",\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=26\",\"Find(0)=0, Find(2)=0, Add (0,2)=17 Failed, w=26\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=44\",\"Find(1)=0, Find(3)=0, Add (1,3)=27 Failed, w=44\",\"Find(5)=0, Find(6)=0, Add (5,6)=28 Failed, w=44\",\"Find(3)=0, Find(4)=0, Add (3,4)=32 Failed, w=44\",\"Find(1)=0, Find(6)=0, Add (1,6)=36 Failed, w=44\",\"Find(0)=0, Find(5)=0, Add (0,5)=47 Failed, w=44\",\"Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=44\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=44\",\"Find(3)=0, Find(6)=0, Add (3,6)=59 Failed, w=44\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=44\",\"Find(0)=0, Find(6)=0, Add (0,6)=72 Failed, w=44\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=44\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,17],[0,3,0],[0,4,8],[0,5,47],[0,6,72],[1,2,18],[1,3,27],[1,4,90],[1,5,9],[1,6,36],[2,3,4],[2,4,76],[2,5,47],[3,4,32],[3,5,53],[3,6,59],[4,5,62],[4,6,5],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=4,(4,6)=5,(0,4)=8,(1,5)=9,(0,2)=17,(1,2)=18,(1,3)=27,(5,6)=28,(3,4)=32,(1,6)=36,(0,5)=47,(2,5)=47,(3,5)=53,(3,6)=59,(4,5)=62,(0,6)=72,(2,4)=76,(1,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 4}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 4}, Find(0)=0, Find(2)=0, Add (0,2)=17 Failed, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 4}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 4}, Find(1)=0, Find(3)=0, Add (1,3)=27 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=28 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=32 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=36 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=47 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=59 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=72 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,83],[0,2,86],[0,4,35],[0,5,3],[0,6,29],[0,7,65],[1,3,10],[1,5,51],[1,7,76],[2,4,40],[2,5,48],[2,7,14],[3,4,21],[3,5,35],[3,6,85],[3,7,47],[4,6,65],[4,7,27],[5,6,26],[6,7,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,86],[0,4,35],[0,5,3],[0,6,29],[0,7,65],[1,3,10],[1,5,51],[1,7,76],[2,4,40],[2,5,48],[2,7,14],[3,4,21],[3,5,35],[3,6,85],[3,7,47],[4,6,65],[4,7,27],[5,6,26],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,86],[0,4,35],[0,5,3],[0,6,29],[0,7,65],[1,3,10],[1,5,51],[1,7,76],[2,4,40],[2,5,48],[2,7,14],[3,4,21],[3,5,35],[3,6,85],[3,7,47],[4,6,65],[4,7,27],[5,6,26],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,3)\",\"Add (2,7)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (4,7)\",\"Add (0,4)\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,86],[0,4,35],[0,5,3],[0,6,29],[0,7,65],[1,3,10],[1,5,51],[1,7,76],[2,4,40],[2,5,48],[2,7,14],[3,4,21],[3,5,35],[3,6,85],[3,7,47],[4,6,65],[4,7,27],[5,6,26],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (1,3)=10, w=13\",\"Add (2,7)=14, w=27\",\"Add (3,4)=21, w=48\",\"Add (5,6)=26, w=74\",\"Add (4,7)=27, w=101\",\"Add (0,4)=35, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,86],[0,4,35],[0,5,3],[0,6,29],[0,7,65],[1,3,10],[1,5,51],[1,7,76],[2,4,40],[2,5,48],[2,7,14],[3,4,21],[3,5,35],[3,6,85],[3,7,47],[4,6,65],[4,7,27],[5,6,26],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (1,3)=10 Succeeded, w=13\",\"Add (2,7)=14 Succeeded, w=27\",\"Add (3,4)=21 Succeeded, w=48\",\"Add (5,6)=26 Succeeded, w=74\",\"Add (4,7)=27 Succeeded, w=101\",\"Add (0,6)=29 Failed, w=101\",\"Add (0,4)=35 Succeeded, w=136\",\"Add (3,5)=35 Failed, w=136\",\"Add (2,4)=40 Failed, w=136\",\"Add (3,7)=47 Failed, w=136\",\"Add (2,5)=48 Failed, w=136\",\"Add (1,5)=51 Failed, w=136\",\"Add (6,7)=64 Failed, w=136\",\"Add (0,7)=65 Failed, w=136\",\"Add (4,6)=65 Failed, w=136\",\"Add (1,7)=76 Failed, w=136\",\"Add (0,1)=83 Failed, w=136\",\"Add (3,6)=85 Failed, w=136\",\"Add (0,2)=86 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,86],[0,4,35],[0,5,3],[0,6,29],[0,7,65],[1,3,10],[1,5,51],[1,7,76],[2,4,40],[2,5,48],[2,7,14],[3,4,21],[3,5,35],[3,6,85],[3,7,47],[4,6,65],[4,7,27],[5,6,26],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,3)=10,(2,7)=14,(3,4)=21,(5,6)=26,(4,7)=27,(0,6)=29,(0,4)=35,(3,5)=35,(2,4)=40,(3,7)=47,(2,5)=48,(1,5)=51,(6,7)=64,(0,7)=65,(4,6)=65,(1,7)=76,(0,1)=83,(3,6)=85,(0,2)=86]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=13\",\"Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=27\",\"Find(3)=1, Find(4)=4, Add (3,4)=21 Succeeded, w=48\",\"Find(5)=0, Find(6)=6, Add (5,6)=26 Succeeded, w=74\",\"Find(4)=1, Find(7)=2, Add (4,7)=27 Succeeded, w=101\",\"Find(0)=0, Find(6)=0, Add (0,6)=29 Failed, w=101\",\"Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=136\",\"Find(3)=1, Find(5)=1, Add (3,5)=35 Failed, w=136\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=136\",\"Find(3)=1, Find(7)=1, Add (3,7)=47 Failed, w=136\",\"Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=136\",\"Find(1)=1, Find(5)=1, Add (1,5)=51 Failed, w=136\",\"Find(6)=1, Find(7)=1, Add (6,7)=64 Failed, w=136\",\"Find(0)=1, Find(7)=1, Add (0,7)=65 Failed, w=136\",\"Find(4)=1, Find(6)=1, Add (4,6)=65 Failed, w=136\",\"Find(1)=1, Find(7)=1, Add (1,7)=76 Failed, w=136\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=136\",\"Find(3)=1, Find(6)=1, Add (3,6)=85 Failed, w=136\",\"Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,86],[0,4,35],[0,5,3],[0,6,29],[0,7,65],[1,3,10],[1,5,51],[1,7,76],[2,4,40],[2,5,48],[2,7,14],[3,4,21],[3,5,35],[3,6,85],[3,7,47],[4,6,65],[4,7,27],[5,6,26],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,3)=10,(2,7)=14,(3,4)=21,(5,6)=26,(4,7)=27,(0,6)=29,(0,4)=35,(3,5)=35,(2,4)=40,(3,7)=47,(2,5)=48,(1,5)=51,(6,7)=64,(0,7)=65,(4,6)=65,(1,7)=76,(0,1)=83,(3,6)=85,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 6, 7: 2}, Find(3)=1, Find(4)=4, Add (3,4)=21 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 0, 7: 2}, Find(5)=0, Find(6)=6, Add (5,6)=26 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0, 7: 2}, Find(4)=1, Find(7)=2, Add (4,7)=27 Succeeded, w=101\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(6)=0, Add (0,6)=29 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 2}, Find(3)=1, Find(5)=1, Add (3,5)=35 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 2}, Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=47 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=51 Failed, w=136\",\"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)=64 Failed, w=136\",\"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)=65 Failed, w=136\",\"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)=65 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=76 Failed, w=136\",\"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)=83 Failed, w=136\",\"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)=85 Failed, w=136\",\"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)=86 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,9],[0,3,47],[0,4,87],[0,5,79],[0,6,54],[1,3,62],[1,4,58],[1,5,4],[1,6,86],[1,7,9],[2,3,96],[2,4,67],[2,5,34],[2,6,16],[2,7,77],[3,4,86],[3,5,46],[3,6,69],[3,7,43],[4,5,19],[4,6,50],[4,7,78],[5,6,39],[5,7,23],[6,7,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,9],[0,3,47],[0,4,87],[0,5,79],[0,6,54],[1,3,62],[1,4,58],[1,5,4],[1,6,86],[1,7,9],[2,3,96],[2,4,67],[2,5,34],[2,6,16],[2,7,77],[3,4,86],[3,5,46],[3,6,69],[3,7,43],[4,5,19],[4,6,50],[4,7,78],[5,6,39],[5,7,23],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,9],[0,3,47],[0,4,87],[0,5,79],[0,6,54],[1,3,62],[1,4,58],[1,5,4],[1,6,86],[1,7,9],[2,3,96],[2,4,67],[2,5,34],[2,6,16],[2,7,77],[3,4,86],[3,5,46],[3,6,69],[3,7,43],[4,5,19],[4,6,50],[4,7,78],[5,6,39],[5,7,23],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (3,7)\"],\"Answer\":104}",
"role": "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],[0,2,9],[0,3,47],[0,4,87],[0,5,79],[0,6,54],[1,3,62],[1,4,58],[1,5,4],[1,6,86],[1,7,9],[2,3,96],[2,4,67],[2,5,34],[2,6,16],[2,7,77],[3,4,86],[3,5,46],[3,6,69],[3,7,43],[4,5,19],[4,6,50],[4,7,78],[5,6,39],[5,7,23],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (1,5)=4, w=8\",\"Add (0,2)=9, w=17\",\"Add (1,7)=9, w=26\",\"Add (2,6)=16, w=42\",\"Add (4,5)=19, w=61\",\"Add (3,7)=43, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,9],[0,3,47],[0,4,87],[0,5,79],[0,6,54],[1,3,62],[1,4,58],[1,5,4],[1,6,86],[1,7,9],[2,3,96],[2,4,67],[2,5,34],[2,6,16],[2,7,77],[3,4,86],[3,5,46],[3,6,69],[3,7,43],[4,5,19],[4,6,50],[4,7,78],[5,6,39],[5,7,23],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (1,5)=4 Succeeded, w=8\",\"Add (0,2)=9 Succeeded, w=17\",\"Add (1,7)=9 Succeeded, w=26\",\"Add (2,6)=16 Succeeded, w=42\",\"Add (4,5)=19 Succeeded, w=61\",\"Add (5,7)=23 Failed, w=61\",\"Add (2,5)=34 Failed, w=61\",\"Add (5,6)=39 Failed, w=61\",\"Add (3,7)=43 Succeeded, w=104\",\"Add (3,5)=46 Failed, w=104\",\"Add (0,3)=47 Failed, w=104\",\"Add (4,6)=50 Failed, w=104\",\"Add (0,6)=54 Failed, w=104\",\"Add (1,4)=58 Failed, w=104\",\"Add (1,3)=62 Failed, w=104\",\"Add (2,4)=67 Failed, w=104\",\"Add (3,6)=69 Failed, w=104\",\"Add (2,7)=77 Failed, w=104\",\"Add (4,7)=78 Failed, w=104\",\"Add (0,5)=79 Failed, w=104\",\"Add (1,6)=86 Failed, w=104\",\"Add (3,4)=86 Failed, w=104\",\"Add (0,4)=87 Failed, w=104\",\"Add (6,7)=95 Failed, w=104\",\"Add (2,3)=96 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,9],[0,3,47],[0,4,87],[0,5,79],[0,6,54],[1,3,62],[1,4,58],[1,5,4],[1,6,86],[1,7,9],[2,3,96],[2,4,67],[2,5,34],[2,6,16],[2,7,77],[3,4,86],[3,5,46],[3,6,69],[3,7,43],[4,5,19],[4,6,50],[4,7,78],[5,6,39],[5,7,23],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,5)=4,(0,2)=9,(1,7)=9,(2,6)=16,(4,5)=19,(5,7)=23,(2,5)=34,(5,6)=39,(3,7)=43,(3,5)=46,(0,3)=47,(4,6)=50,(0,6)=54,(1,4)=58,(1,3)=62,(2,4)=67,(3,6)=69,(2,7)=77,(4,7)=78,(0,5)=79,(1,6)=86,(3,4)=86,(0,4)=87,(6,7)=95,(2,3)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(1)=0, Find(5)=5, Add (1,5)=4 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=17\",\"Find(1)=0, Find(7)=7, Add (1,7)=9 Succeeded, w=26\",\"Find(2)=0, Find(6)=6, Add (2,6)=16 Succeeded, w=42\",\"Find(4)=4, Find(5)=0, Add (4,5)=19 Succeeded, w=61\",\"Find(5)=0, Find(7)=0, Add (5,7)=23 Failed, w=61\",\"Find(2)=0, Find(5)=0, Add (2,5)=34 Failed, w=61\",\"Find(5)=0, Find(6)=0, Add (5,6)=39 Failed, w=61\",\"Find(3)=3, Find(7)=0, Add (3,7)=43 Succeeded, w=104\",\"Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=104\",\"Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=104\",\"Find(4)=0, Find(6)=0, Add (4,6)=50 Failed, w=104\",\"Find(0)=0, Find(6)=0, Add (0,6)=54 Failed, w=104\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=104\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=104\",\"Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=104\",\"Find(3)=0, Find(6)=0, Add (3,6)=69 Failed, w=104\",\"Find(2)=0, Find(7)=0, Add (2,7)=77 Failed, w=104\",\"Find(4)=0, Find(7)=0, Add (4,7)=78 Failed, w=104\",\"Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=104\",\"Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=104\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=104\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=104\",\"Find(6)=0, Find(7)=0, Add (6,7)=95 Failed, w=104\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,9],[0,3,47],[0,4,87],[0,5,79],[0,6,54],[1,3,62],[1,4,58],[1,5,4],[1,6,86],[1,7,9],[2,3,96],[2,4,67],[2,5,34],[2,6,16],[2,7,77],[3,4,86],[3,5,46],[3,6,69],[3,7,43],[4,5,19],[4,6,50],[4,7,78],[5,6,39],[5,7,23],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,5)=4,(0,2)=9,(1,7)=9,(2,6)=16,(4,5)=19,(5,7)=23,(2,5)=34,(5,6)=39,(3,7)=43,(3,5)=46,(0,3)=47,(4,6)=50,(0,6)=54,(1,4)=58,(1,3)=62,(2,4)=67,(3,6)=69,(2,7)=77,(4,7)=78,(0,5)=79,(1,6)=86,(3,4)=86,(0,4)=87,(6,7)=95,(2,3)=96]\",\"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: 0, 6: 6, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=9 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=6, Add (2,6)=16 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(5)=0, Add (4,5)=19 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=23 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=34 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=39 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=43 Succeeded, w=104\",\"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)=46 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=104\",\"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)=50 Failed, w=104\",\"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)=54 Failed, w=104\",\"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)=58 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=69 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=77 Failed, w=104\",\"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)=78 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=95 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,23],[0,3,20],[0,4,52],[0,5,46],[1,2,93],[1,3,85],[1,4,96],[1,5,21],[2,3,19],[2,4,63],[2,5,36],[3,4,51],[3,5,84],[4,5,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,3,20],[0,4,52],[0,5,46],[1,2,93],[1,3,85],[1,4,96],[1,5,21],[2,3,19],[2,4,63],[2,5,36],[3,4,51],[3,5,84],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,3,20],[0,4,52],[0,5,46],[1,2,93],[1,3,85],[1,4,96],[1,5,21],[2,3,19],[2,4,63],[2,5,36],[3,4,51],[3,5,84],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,3,20],[0,4,52],[0,5,46],[1,2,93],[1,3,85],[1,4,96],[1,5,21],[2,3,19],[2,4,63],[2,5,36],[3,4,51],[3,5,84],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=19, w=19\",\"Add (0,3)=20, w=39\",\"Add (1,5)=21, w=60\",\"Add (0,1)=23, w=83\",\"Add (3,4)=51, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,3,20],[0,4,52],[0,5,46],[1,2,93],[1,3,85],[1,4,96],[1,5,21],[2,3,19],[2,4,63],[2,5,36],[3,4,51],[3,5,84],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=19 Succeeded, w=19\",\"Add (0,3)=20 Succeeded, w=39\",\"Add (1,5)=21 Succeeded, w=60\",\"Add (0,1)=23 Succeeded, w=83\",\"Add (2,5)=36 Failed, w=83\",\"Add (0,5)=46 Failed, w=83\",\"Add (3,4)=51 Succeeded, w=134\",\"Add (0,4)=52 Failed, w=134\",\"Add (2,4)=63 Failed, w=134\",\"Add (4,5)=78 Failed, w=134\",\"Add (3,5)=84 Failed, w=134\",\"Add (1,3)=85 Failed, w=134\",\"Add (1,2)=93 Failed, w=134\",\"Add (1,4)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,3,20],[0,4,52],[0,5,46],[1,2,93],[1,3,85],[1,4,96],[1,5,21],[2,3,19],[2,4,63],[2,5,36],[3,4,51],[3,5,84],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=19,(0,3)=20,(1,5)=21,(0,1)=23,(2,5)=36,(0,5)=46,(3,4)=51,(0,4)=52,(2,4)=63,(4,5)=78,(3,5)=84,(1,3)=85,(1,2)=93,(1,4)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=19\",\"Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=39\",\"Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=60\",\"Find(0)=2, Find(1)=1, Add (0,1)=23 Succeeded, w=83\",\"Find(2)=2, Find(5)=2, Add (2,5)=36 Failed, w=83\",\"Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=83\",\"Find(3)=2, Find(4)=4, Add (3,4)=51 Succeeded, w=134\",\"Find(0)=2, Find(4)=2, Add (0,4)=52 Failed, w=134\",\"Find(2)=2, Find(4)=2, Add (2,4)=63 Failed, w=134\",\"Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=134\",\"Find(3)=2, Find(5)=2, Add (3,5)=84 Failed, w=134\",\"Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=134\",\"Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=134\",\"Find(1)=2, Find(4)=2, Add (1,4)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,3,20],[0,4,52],[0,5,46],[1,2,93],[1,3,85],[1,4,96],[1,5,21],[2,3,19],[2,4,63],[2,5,36],[3,4,51],[3,5,84],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=19,(0,3)=20,(1,5)=21,(0,1)=23,(2,5)=36,(0,5)=46,(3,4)=51,(0,4)=52,(2,4)=63,(4,5)=78,(3,5)=84,(1,3)=85,(1,2)=93,(1,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 1}, Find(0)=2, Find(1)=1, Add (0,1)=23 Succeeded, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=36 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=4, Add (3,4)=51 Succeeded, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=52 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=63 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=84 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,58],[0,4,28],[1,3,19],[1,4,28],[2,3,13],[3,4,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,58],[0,4,28],[1,3,19],[1,4,28],[2,3,13],[3,4,41]]}",
"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\":[[0,2,58],[0,4,28],[1,3,19],[1,4,28],[2,3,13],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,58],[0,4,28],[1,3,19],[1,4,28],[2,3,13],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (1,3)=19, w=32\",\"Add (0,4)=28, w=60\",\"Add (1,4)=28, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,58],[0,4,28],[1,3,19],[1,4,28],[2,3,13],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (1,3)=19 Succeeded, w=32\",\"Add (0,4)=28 Succeeded, w=60\",\"Add (1,4)=28 Succeeded, w=88\",\"Add (3,4)=41 Failed, w=88\",\"Add (0,2)=58 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\":[[0,2,58],[0,4,28],[1,3,19],[1,4,28],[2,3,13],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,3)=19,(0,4)=28,(1,4)=28,(3,4)=41,(0,2)=58]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=2, Add (1,3)=19 Succeeded, w=32\",\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=60\",\"Find(1)=2, Find(4)=0, Add (1,4)=28 Succeeded, w=88\",\"Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=88\",\"Find(0)=2, Find(2)=2, Add (0,2)=58 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\":[[0,2,58],[0,4,28],[1,3,19],[1,4,28],[2,3,13],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,3)=19,(0,4)=28,(1,4)=28,(3,4)=41,(0,2)=58]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=19 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(4)=0, Add (1,4)=28 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,34],[0,3,61],[0,4,86],[0,5,86],[0,6,3],[0,7,82],[1,2,20],[1,3,63],[1,5,20],[1,6,94],[1,7,69],[2,3,45],[2,4,19],[2,5,27],[2,6,82],[2,7,58],[3,4,74],[3,5,12],[3,6,14],[3,7,79],[4,5,55],[4,6,60],[4,7,18],[5,6,29],[5,7,83],[6,7,9]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,34],[0,3,61],[0,4,86],[0,5,86],[0,6,3],[0,7,82],[1,2,20],[1,3,63],[1,5,20],[1,6,94],[1,7,69],[2,3,45],[2,4,19],[2,5,27],[2,6,82],[2,7,58],[3,4,74],[3,5,12],[3,6,14],[3,7,79],[4,5,55],[4,6,60],[4,7,18],[5,6,29],[5,7,83],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,34],[0,3,61],[0,4,86],[0,5,86],[0,6,3],[0,7,82],[1,2,20],[1,3,63],[1,5,20],[1,6,94],[1,7,69],[2,3,45],[2,4,19],[2,5,27],[2,6,82],[2,7,58],[3,4,74],[3,5,12],[3,6,14],[3,7,79],[4,5,55],[4,6,60],[4,7,18],[5,6,29],[5,7,83],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (6,7)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,34],[0,3,61],[0,4,86],[0,5,86],[0,6,3],[0,7,82],[1,2,20],[1,3,63],[1,5,20],[1,6,94],[1,7,69],[2,3,45],[2,4,19],[2,5,27],[2,6,82],[2,7,58],[3,4,74],[3,5,12],[3,6,14],[3,7,79],[4,5,55],[4,6,60],[4,7,18],[5,6,29],[5,7,83],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=3, w=3\",\"Add (6,7)=9, w=12\",\"Add (3,5)=12, w=24\",\"Add (3,6)=14, w=38\",\"Add (4,7)=18, w=56\",\"Add (2,4)=19, w=75\",\"Add (1,2)=20, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,34],[0,3,61],[0,4,86],[0,5,86],[0,6,3],[0,7,82],[1,2,20],[1,3,63],[1,5,20],[1,6,94],[1,7,69],[2,3,45],[2,4,19],[2,5,27],[2,6,82],[2,7,58],[3,4,74],[3,5,12],[3,6,14],[3,7,79],[4,5,55],[4,6,60],[4,7,18],[5,6,29],[5,7,83],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=3 Succeeded, w=3\",\"Add (6,7)=9 Succeeded, w=12\",\"Add (3,5)=12 Succeeded, w=24\",\"Add (3,6)=14 Succeeded, w=38\",\"Add (4,7)=18 Succeeded, w=56\",\"Add (2,4)=19 Succeeded, w=75\",\"Add (1,2)=20 Succeeded, w=95\",\"Add (1,5)=20 Failed, w=95\",\"Add (2,5)=27 Failed, w=95\",\"Add (5,6)=29 Failed, w=95\",\"Add (0,2)=34 Failed, w=95\",\"Add (2,3)=45 Failed, w=95\",\"Add (4,5)=55 Failed, w=95\",\"Add (2,7)=58 Failed, w=95\",\"Add (0,1)=60 Failed, w=95\",\"Add (4,6)=60 Failed, w=95\",\"Add (0,3)=61 Failed, w=95\",\"Add (1,3)=63 Failed, w=95\",\"Add (1,7)=69 Failed, w=95\",\"Add (3,4)=74 Failed, w=95\",\"Add (3,7)=79 Failed, w=95\",\"Add (0,7)=82 Failed, w=95\",\"Add (2,6)=82 Failed, w=95\",\"Add (5,7)=83 Failed, w=95\",\"Add (0,4)=86 Failed, w=95\",\"Add (0,5)=86 Failed, w=95\",\"Add (1,6)=94 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,34],[0,3,61],[0,4,86],[0,5,86],[0,6,3],[0,7,82],[1,2,20],[1,3,63],[1,5,20],[1,6,94],[1,7,69],[2,3,45],[2,4,19],[2,5,27],[2,6,82],[2,7,58],[3,4,74],[3,5,12],[3,6,14],[3,7,79],[4,5,55],[4,6,60],[4,7,18],[5,6,29],[5,7,83],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=3,(6,7)=9,(3,5)=12,(3,6)=14,(4,7)=18,(2,4)=19,(1,2)=20,(1,5)=20,(2,5)=27,(5,6)=29,(0,2)=34,(2,3)=45,(4,5)=55,(2,7)=58,(0,1)=60,(4,6)=60,(0,3)=61,(1,3)=63,(1,7)=69,(3,4)=74,(3,7)=79,(0,7)=82,(2,6)=82,(5,7)=83,(0,4)=86,(0,5)=86,(1,6)=94]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=3\",\"Find(6)=0, Find(7)=7, Add (6,7)=9 Succeeded, w=12\",\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=24\",\"Find(3)=3, Find(6)=0, Add (3,6)=14 Succeeded, w=38\",\"Find(4)=4, Find(7)=3, Add (4,7)=18 Succeeded, w=56\",\"Find(2)=2, Find(4)=3, Add (2,4)=19 Succeeded, w=75\",\"Find(1)=1, Find(2)=3, Add (1,2)=20 Succeeded, w=95\",\"Find(1)=3, Find(5)=3, Add (1,5)=20 Failed, w=95\",\"Find(2)=3, Find(5)=3, Add (2,5)=27 Failed, w=95\",\"Find(5)=3, Find(6)=3, Add (5,6)=29 Failed, w=95\",\"Find(0)=3, Find(2)=3, Add (0,2)=34 Failed, w=95\",\"Find(2)=3, Find(3)=3, Add (2,3)=45 Failed, w=95\",\"Find(4)=3, Find(5)=3, Add (4,5)=55 Failed, w=95\",\"Find(2)=3, Find(7)=3, Add (2,7)=58 Failed, w=95\",\"Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=95\",\"Find(4)=3, Find(6)=3, Add (4,6)=60 Failed, w=95\",\"Find(0)=3, Find(3)=3, Add (0,3)=61 Failed, w=95\",\"Find(1)=3, Find(3)=3, Add (1,3)=63 Failed, w=95\",\"Find(1)=3, Find(7)=3, Add (1,7)=69 Failed, w=95\",\"Find(3)=3, Find(4)=3, Add (3,4)=74 Failed, w=95\",\"Find(3)=3, Find(7)=3, Add (3,7)=79 Failed, w=95\",\"Find(0)=3, Find(7)=3, Add (0,7)=82 Failed, w=95\",\"Find(2)=3, Find(6)=3, Add (2,6)=82 Failed, w=95\",\"Find(5)=3, Find(7)=3, Add (5,7)=83 Failed, w=95\",\"Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=95\",\"Find(0)=3, Find(5)=3, Add (0,5)=86 Failed, w=95\",\"Find(1)=3, Find(6)=3, Add (1,6)=94 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,34],[0,3,61],[0,4,86],[0,5,86],[0,6,3],[0,7,82],[1,2,20],[1,3,63],[1,5,20],[1,6,94],[1,7,69],[2,3,45],[2,4,19],[2,5,27],[2,6,82],[2,7,58],[3,4,74],[3,5,12],[3,6,14],[3,7,79],[4,5,55],[4,6,60],[4,7,18],[5,6,29],[5,7,83],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=3,(6,7)=9,(3,5)=12,(3,6)=14,(4,7)=18,(2,4)=19,(1,2)=20,(1,5)=20,(2,5)=27,(5,6)=29,(0,2)=34,(2,3)=45,(4,5)=55,(2,7)=58,(0,1)=60,(4,6)=60,(0,3)=61,(1,3)=63,(1,7)=69,(3,4)=74,(3,7)=79,(0,7)=82,(2,6)=82,(5,7)=83,(0,4)=86,(0,5)=86,(1,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0, 7: 0}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=24\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0, 7: 0}, Find(3)=3, Find(6)=0, Add (3,6)=14 Succeeded, w=38\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=18 Succeeded, w=56\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(2)=2, Find(4)=3, Add (2,4)=19 Succeeded, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(1)=1, Find(2)=3, Add (1,2)=20 Succeeded, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=20 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=27 Failed, w=95\",\"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)=29 Failed, w=95\",\"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)=34 Failed, w=95\",\"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)=45 Failed, w=95\",\"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)=55 Failed, w=95\",\"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)=58 Failed, w=95\",\"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)=60 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=60 Failed, w=95\",\"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)=61 Failed, w=95\",\"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)=63 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=69 Failed, w=95\",\"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)=74 Failed, w=95\",\"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)=79 Failed, w=95\",\"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)=82 Failed, w=95\",\"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)=82 Failed, w=95\",\"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)=83 Failed, w=95\",\"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)=86 Failed, w=95\",\"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)=86 Failed, w=95\",\"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)=94 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,42],[0,4,85],[0,5,93],[1,4,75],[1,6,14],[2,3,32],[2,4,60],[2,5,6],[2,6,20],[3,6,2],[4,6,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,42],[0,4,85],[0,5,93],[1,4,75],[1,6,14],[2,3,32],[2,4,60],[2,5,6],[2,6,20],[3,6,2],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,42],[0,4,85],[0,5,93],[1,4,75],[1,6,14],[2,3,32],[2,4,60],[2,5,6],[2,6,20],[3,6,2],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,42],[0,4,85],[0,5,93],[1,4,75],[1,6,14],[2,3,32],[2,4,60],[2,5,6],[2,6,20],[3,6,2],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (2,5)=6, w=8\",\"Add (1,6)=14, w=22\",\"Add (2,6)=20, w=42\",\"Add (0,2)=42, w=84\",\"Add (2,4)=60, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,42],[0,4,85],[0,5,93],[1,4,75],[1,6,14],[2,3,32],[2,4,60],[2,5,6],[2,6,20],[3,6,2],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (2,5)=6 Succeeded, w=8\",\"Add (1,6)=14 Succeeded, w=22\",\"Add (2,6)=20 Succeeded, w=42\",\"Add (2,3)=32 Failed, w=42\",\"Add (0,2)=42 Succeeded, w=84\",\"Add (2,4)=60 Succeeded, w=144\",\"Add (1,4)=75 Failed, w=144\",\"Add (0,4)=85 Failed, w=144\",\"Add (0,5)=93 Failed, w=144\",\"Add (4,6)=95 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,42],[0,4,85],[0,5,93],[1,4,75],[1,6,14],[2,3,32],[2,4,60],[2,5,6],[2,6,20],[3,6,2],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(2,5)=6,(1,6)=14,(2,6)=20,(2,3)=32,(0,2)=42,(2,4)=60,(1,4)=75,(0,4)=85,(0,5)=93,(4,6)=95]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=8\",\"Find(1)=1, Find(6)=3, Add (1,6)=14 Succeeded, w=22\",\"Find(2)=2, Find(6)=3, Add (2,6)=20 Succeeded, w=42\",\"Find(2)=2, Find(3)=2, Add (2,3)=32 Failed, w=42\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=84\",\"Find(2)=2, Find(4)=4, Add (2,4)=60 Succeeded, w=144\",\"Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=144\",\"Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=144\",\"Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=144\",\"Find(4)=2, Find(6)=2, Add (4,6)=95 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,42],[0,4,85],[0,5,93],[1,4,75],[1,6,14],[2,3,32],[2,4,60],[2,5,6],[2,6,20],[3,6,2],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(2,5)=6,(1,6)=14,(2,6)=20,(2,3)=32,(0,2)=42,(2,4)=60,(1,4)=75,(0,4)=85,(0,5)=93,(4,6)=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: 4, 5: 2, 6: 3}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=14 Succeeded, w=22\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=20 Succeeded, w=42\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3}, Find(2)=2, Find(3)=2, Add (2,3)=32 Failed, w=42\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=84\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(2)=2, Find(4)=4, Add (2,4)=60 Succeeded, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=95 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,78],[0,2,49],[0,3,27],[0,4,88],[0,5,46],[0,6,30],[1,2,22],[1,3,85],[1,4,54],[1,5,12],[1,6,18],[2,3,70],[2,4,79],[2,5,63],[2,6,89],[3,4,63],[3,6,72],[4,6,73],[5,6,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,27],[0,4,88],[0,5,46],[0,6,30],[1,2,22],[1,3,85],[1,4,54],[1,5,12],[1,6,18],[2,3,70],[2,4,79],[2,5,63],[2,6,89],[3,4,63],[3,6,72],[4,6,73],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,27],[0,4,88],[0,5,46],[0,6,30],[1,2,22],[1,3,85],[1,4,54],[1,5,12],[1,6,18],[2,3,70],[2,4,79],[2,5,63],[2,6,89],[3,4,63],[3,6,72],[4,6,73],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (1,4)\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,27],[0,4,88],[0,5,46],[0,6,30],[1,2,22],[1,3,85],[1,4,54],[1,5,12],[1,6,18],[2,3,70],[2,4,79],[2,5,63],[2,6,89],[3,4,63],[3,6,72],[4,6,73],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12, w=12\",\"Add (1,6)=18, w=30\",\"Add (1,2)=22, w=52\",\"Add (0,3)=27, w=79\",\"Add (0,6)=30, w=109\",\"Add (1,4)=54, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,27],[0,4,88],[0,5,46],[0,6,30],[1,2,22],[1,3,85],[1,4,54],[1,5,12],[1,6,18],[2,3,70],[2,4,79],[2,5,63],[2,6,89],[3,4,63],[3,6,72],[4,6,73],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12 Succeeded, w=12\",\"Add (1,6)=18 Succeeded, w=30\",\"Add (1,2)=22 Succeeded, w=52\",\"Add (0,3)=27 Succeeded, w=79\",\"Add (0,6)=30 Succeeded, w=109\",\"Add (0,5)=46 Failed, w=109\",\"Add (0,2)=49 Failed, w=109\",\"Add (1,4)=54 Succeeded, w=163\",\"Add (2,5)=63 Failed, w=163\",\"Add (3,4)=63 Failed, w=163\",\"Add (2,3)=70 Failed, w=163\",\"Add (3,6)=72 Failed, w=163\",\"Add (4,6)=73 Failed, w=163\",\"Add (0,1)=78 Failed, w=163\",\"Add (2,4)=79 Failed, w=163\",\"Add (1,3)=85 Failed, w=163\",\"Add (0,4)=88 Failed, w=163\",\"Add (2,6)=89 Failed, w=163\",\"Add (5,6)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,27],[0,4,88],[0,5,46],[0,6,30],[1,2,22],[1,3,85],[1,4,54],[1,5,12],[1,6,18],[2,3,70],[2,4,79],[2,5,63],[2,6,89],[3,4,63],[3,6,72],[4,6,73],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(1,6)=18,(1,2)=22,(0,3)=27,(0,6)=30,(0,5)=46,(0,2)=49,(1,4)=54,(2,5)=63,(3,4)=63,(2,3)=70,(3,6)=72,(4,6)=73,(0,1)=78,(2,4)=79,(1,3)=85,(0,4)=88,(2,6)=89,(5,6)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Find(1)=1, Find(6)=6, Add (1,6)=18 Succeeded, w=30\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=52\",\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=79\",\"Find(0)=0, Find(6)=1, Add (0,6)=30 Succeeded, w=109\",\"Find(0)=0, Find(5)=0, Add (0,5)=46 Failed, w=109\",\"Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=109\",\"Find(1)=0, Find(4)=4, Add (1,4)=54 Succeeded, w=163\",\"Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=163\",\"Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=163\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=163\",\"Find(3)=0, Find(6)=0, Add (3,6)=72 Failed, w=163\",\"Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=163\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=163\",\"Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=163\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=163\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=163\",\"Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=163\",\"Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,49],[0,3,27],[0,4,88],[0,5,46],[0,6,30],[1,2,22],[1,3,85],[1,4,54],[1,5,12],[1,6,18],[2,3,70],[2,4,79],[2,5,63],[2,6,89],[3,4,63],[3,6,72],[4,6,73],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(1,6)=18,(1,2)=22,(0,3)=27,(0,6)=30,(0,5)=46,(0,2)=49,(1,4)=54,(2,5)=63,(3,4)=63,(2,3)=70,(3,6)=72,(4,6)=73,(0,1)=78,(2,4)=79,(1,3)=85,(0,4)=88,(2,6)=89,(5,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=18 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=30 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=0, Add (0,5)=46 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(4)=4, Add (1,4)=54 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=72 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,72],[0,3,16],[1,2,76],[1,3,84],[2,3,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,72],[0,3,16],[1,2,76],[1,3,84],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,72],[0,3,16],[1,2,76],[1,3,84],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,72],[0,3,16],[1,2,76],[1,3,84],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (0,1)=36, w=52\",\"Add (0,2)=72, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,72],[0,3,16],[1,2,76],[1,3,84],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (0,1)=36 Succeeded, w=52\",\"Add (0,2)=72 Succeeded, w=124\",\"Add (1,2)=76 Failed, w=124\",\"Add (2,3)=83 Failed, w=124\",\"Add (1,3)=84 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,72],[0,3,16],[1,2,76],[1,3,84],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(0,1)=36,(0,2)=72,(1,2)=76,(2,3)=83,(1,3)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=52\",\"Find(0)=0, Find(2)=2, Add (0,2)=72 Succeeded, w=124\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=124\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=124\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,72],[0,3,16],[1,2,76],[1,3,84],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(0,1)=36,(0,2)=72,(1,2)=76,(2,3)=83,(1,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=72 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,22],[0,3,45],[0,4,69],[1,2,20],[1,3,61],[1,4,92],[2,3,54],[2,4,84],[3,4,60]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,22],[0,3,45],[0,4,69],[1,2,20],[1,3,61],[1,4,92],[2,3,54],[2,4,84],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,22],[0,3,45],[0,4,69],[1,2,20],[1,3,61],[1,4,92],[2,3,54],[2,4,84],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,22],[0,3,45],[0,4,69],[1,2,20],[1,3,61],[1,4,92],[2,3,54],[2,4,84],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (1,2)=20, w=34\",\"Add (0,3)=45, w=79\",\"Add (3,4)=60, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,22],[0,3,45],[0,4,69],[1,2,20],[1,3,61],[1,4,92],[2,3,54],[2,4,84],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (1,2)=20 Succeeded, w=34\",\"Add (0,2)=22 Failed, w=34\",\"Add (0,3)=45 Succeeded, w=79\",\"Add (2,3)=54 Failed, w=79\",\"Add (3,4)=60 Succeeded, w=139\",\"Add (1,3)=61 Failed, w=139\",\"Add (0,4)=69 Failed, w=139\",\"Add (2,4)=84 Failed, w=139\",\"Add (1,4)=92 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,22],[0,3,45],[0,4,69],[1,2,20],[1,3,61],[1,4,92],[2,3,54],[2,4,84],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(1,2)=20,(0,2)=22,(0,3)=45,(2,3)=54,(3,4)=60,(1,3)=61,(0,4)=69,(2,4)=84,(1,4)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=34\",\"Find(0)=0, Find(2)=0, Add (0,2)=22 Failed, w=34\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=79\",\"Find(3)=0, Find(4)=4, Add (3,4)=60 Succeeded, w=139\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=139\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,22],[0,3,45],[0,4,69],[1,2,20],[1,3,61],[1,4,92],[2,3,54],[2,4,84],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(1,2)=20,(0,2)=22,(0,3)=45,(2,3)=54,(3,4)=60,(1,3)=61,(0,4)=69,(2,4)=84,(1,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=22 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=60 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,20],[0,2,49],[0,4,26],[0,5,87],[0,6,52],[1,2,16],[1,3,55],[1,4,22],[1,5,30],[1,6,55],[2,3,3],[2,4,7],[2,5,86],[2,6,3],[3,4,73],[3,5,12],[3,6,98],[4,5,77],[4,6,15],[5,6,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,49],[0,4,26],[0,5,87],[0,6,52],[1,2,16],[1,3,55],[1,4,22],[1,5,30],[1,6,55],[2,3,3],[2,4,7],[2,5,86],[2,6,3],[3,4,73],[3,5,12],[3,6,98],[4,5,77],[4,6,15],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,49],[0,4,26],[0,5,87],[0,6,52],[1,2,16],[1,3,55],[1,4,22],[1,5,30],[1,6,55],[2,3,3],[2,4,7],[2,5,86],[2,6,3],[3,4,73],[3,5,12],[3,6,98],[4,5,77],[4,6,15],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,6)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,49],[0,4,26],[0,5,87],[0,6,52],[1,2,16],[1,3,55],[1,4,22],[1,5,30],[1,6,55],[2,3,3],[2,4,7],[2,5,86],[2,6,3],[3,4,73],[3,5,12],[3,6,98],[4,5,77],[4,6,15],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (2,6)=3, w=6\",\"Add (2,4)=7, w=13\",\"Add (3,5)=12, w=25\",\"Add (1,2)=16, w=41\",\"Add (0,1)=20, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,49],[0,4,26],[0,5,87],[0,6,52],[1,2,16],[1,3,55],[1,4,22],[1,5,30],[1,6,55],[2,3,3],[2,4,7],[2,5,86],[2,6,3],[3,4,73],[3,5,12],[3,6,98],[4,5,77],[4,6,15],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (2,6)=3 Succeeded, w=6\",\"Add (2,4)=7 Succeeded, w=13\",\"Add (3,5)=12 Succeeded, w=25\",\"Add (4,6)=15 Failed, w=25\",\"Add (1,2)=16 Succeeded, w=41\",\"Add (0,1)=20 Succeeded, w=61\",\"Add (1,4)=22 Failed, w=61\",\"Add (0,4)=26 Failed, w=61\",\"Add (1,5)=30 Failed, w=61\",\"Add (0,2)=49 Failed, w=61\",\"Add (0,6)=52 Failed, w=61\",\"Add (1,3)=55 Failed, w=61\",\"Add (1,6)=55 Failed, w=61\",\"Add (3,4)=73 Failed, w=61\",\"Add (4,5)=77 Failed, w=61\",\"Add (2,5)=86 Failed, w=61\",\"Add (0,5)=87 Failed, w=61\",\"Add (5,6)=91 Failed, w=61\",\"Add (3,6)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,49],[0,4,26],[0,5,87],[0,6,52],[1,2,16],[1,3,55],[1,4,22],[1,5,30],[1,6,55],[2,3,3],[2,4,7],[2,5,86],[2,6,3],[3,4,73],[3,5,12],[3,6,98],[4,5,77],[4,6,15],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(2,6)=3,(2,4)=7,(3,5)=12,(4,6)=15,(1,2)=16,(0,1)=20,(1,4)=22,(0,4)=26,(1,5)=30,(0,2)=49,(0,6)=52,(1,3)=55,(1,6)=55,(3,4)=73,(4,5)=77,(2,5)=86,(0,5)=87,(5,6)=91,(3,6)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=13\",\"Find(3)=2, Find(5)=5, Add (3,5)=12 Succeeded, w=25\",\"Find(4)=2, Find(6)=2, Add (4,6)=15 Failed, w=25\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=41\",\"Find(0)=0, Find(1)=2, Add (0,1)=20 Succeeded, w=61\",\"Find(1)=2, Find(4)=2, Add (1,4)=22 Failed, w=61\",\"Find(0)=2, Find(4)=2, Add (0,4)=26 Failed, w=61\",\"Find(1)=2, Find(5)=2, Add (1,5)=30 Failed, w=61\",\"Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=61\",\"Find(0)=2, Find(6)=2, Add (0,6)=52 Failed, w=61\",\"Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=61\",\"Find(1)=2, Find(6)=2, Add (1,6)=55 Failed, w=61\",\"Find(3)=2, Find(4)=2, Add (3,4)=73 Failed, w=61\",\"Find(4)=2, Find(5)=2, Add (4,5)=77 Failed, w=61\",\"Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=61\",\"Find(0)=2, Find(5)=2, Add (0,5)=87 Failed, w=61\",\"Find(5)=2, Find(6)=2, Add (5,6)=91 Failed, w=61\",\"Find(3)=2, Find(6)=2, Add (3,6)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,49],[0,4,26],[0,5,87],[0,6,52],[1,2,16],[1,3,55],[1,4,22],[1,5,30],[1,6,55],[2,3,3],[2,4,7],[2,5,86],[2,6,3],[3,4,73],[3,5,12],[3,6,98],[4,5,77],[4,6,15],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(2,6)=3,(2,4)=7,(3,5)=12,(4,6)=15,(1,2)=16,(0,1)=20,(1,4)=22,(0,4)=26,(1,5)=30,(0,2)=49,(0,6)=52,(1,3)=55,(1,6)=55,(3,4)=73,(4,5)=77,(2,5)=86,(0,5)=87,(5,6)=91,(3,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=15 Failed, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(1)=2, Add (0,1)=20 Succeeded, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=22 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=26 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=30 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=52 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=55 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=73 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=77 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=87 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=91 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,1],[0,2,7],[0,3,29]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,7],[0,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,7],[0,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,7],[0,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (0,2)=7, w=8\",\"Add (0,3)=29, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,7],[0,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,2)=7 Succeeded, w=8\",\"Add (0,3)=29 Succeeded, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,7],[0,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,2)=7,(0,3)=29]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,7],[0,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,2)=7,(0,3)=29]\",\"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)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,90],[0,3,99],[0,4,86],[1,2,20],[1,3,1],[1,4,39],[2,3,18],[2,4,82],[3,4,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,3,99],[0,4,86],[1,2,20],[1,3,1],[1,4,39],[2,3,18],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,3,99],[0,4,86],[1,2,20],[1,3,1],[1,4,39],[2,3,18],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,3,99],[0,4,86],[1,2,20],[1,3,1],[1,4,39],[2,3,18],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (2,3)=18, w=19\",\"Add (3,4)=35, w=54\",\"Add (0,4)=86, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,3,99],[0,4,86],[1,2,20],[1,3,1],[1,4,39],[2,3,18],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (2,3)=18 Succeeded, w=19\",\"Add (1,2)=20 Failed, w=19\",\"Add (3,4)=35 Succeeded, w=54\",\"Add (1,4)=39 Failed, w=54\",\"Add (2,4)=82 Failed, w=54\",\"Add (0,4)=86 Succeeded, w=140\",\"Add (0,1)=90 Failed, w=140\",\"Add (0,3)=99 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,3,99],[0,4,86],[1,2,20],[1,3,1],[1,4,39],[2,3,18],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(2,3)=18,(1,2)=20,(3,4)=35,(1,4)=39,(2,4)=82,(0,4)=86,(0,1)=90,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=1, Add (2,3)=18 Succeeded, w=19\",\"Find(1)=1, Find(2)=1, Add (1,2)=20 Failed, w=19\",\"Find(3)=1, Find(4)=4, Add (3,4)=35 Succeeded, w=54\",\"Find(1)=1, Find(4)=1, Add (1,4)=39 Failed, w=54\",\"Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=54\",\"Find(0)=0, Find(4)=1, Add (0,4)=86 Succeeded, w=140\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=140\",\"Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,3,99],[0,4,86],[1,2,20],[1,3,1],[1,4,39],[2,3,18],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(2,3)=18,(1,2)=20,(3,4)=35,(1,4)=39,(2,4)=82,(0,4)=86,(0,1)=90,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=18 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=1, Add (1,2)=20 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=35 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=39 Failed, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=86 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,98],[0,5,3],[0,7,70],[1,2,13],[1,5,87],[1,6,90],[2,3,81],[2,4,83],[2,5,17],[2,6,53],[2,7,97],[3,4,15],[3,7,24],[4,5,17],[4,6,84],[5,6,59],[5,7,46]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,5,3],[0,7,70],[1,2,13],[1,5,87],[1,6,90],[2,3,81],[2,4,83],[2,5,17],[2,6,53],[2,7,97],[3,4,15],[3,7,24],[4,5,17],[4,6,84],[5,6,59],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,5,3],[0,7,70],[1,2,13],[1,5,87],[1,6,90],[2,3,81],[2,4,83],[2,5,17],[2,6,53],[2,7,97],[3,4,15],[3,7,24],[4,5,17],[4,6,84],[5,6,59],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (3,7)\",\"Add (2,6)\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,5,3],[0,7,70],[1,2,13],[1,5,87],[1,6,90],[2,3,81],[2,4,83],[2,5,17],[2,6,53],[2,7,97],[3,4,15],[3,7,24],[4,5,17],[4,6,84],[5,6,59],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (1,2)=13, w=16\",\"Add (3,4)=15, w=31\",\"Add (2,5)=17, w=48\",\"Add (4,5)=17, w=65\",\"Add (3,7)=24, w=89\",\"Add (2,6)=53, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,5,3],[0,7,70],[1,2,13],[1,5,87],[1,6,90],[2,3,81],[2,4,83],[2,5,17],[2,6,53],[2,7,97],[3,4,15],[3,7,24],[4,5,17],[4,6,84],[5,6,59],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (1,2)=13 Succeeded, w=16\",\"Add (3,4)=15 Succeeded, w=31\",\"Add (2,5)=17 Succeeded, w=48\",\"Add (4,5)=17 Succeeded, w=65\",\"Add (3,7)=24 Succeeded, w=89\",\"Add (5,7)=46 Failed, w=89\",\"Add (2,6)=53 Succeeded, w=142\",\"Add (5,6)=59 Failed, w=142\",\"Add (0,7)=70 Failed, w=142\",\"Add (2,3)=81 Failed, w=142\",\"Add (2,4)=83 Failed, w=142\",\"Add (4,6)=84 Failed, w=142\",\"Add (1,5)=87 Failed, w=142\",\"Add (1,6)=90 Failed, w=142\",\"Add (2,7)=97 Failed, w=142\",\"Add (0,3)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,5,3],[0,7,70],[1,2,13],[1,5,87],[1,6,90],[2,3,81],[2,4,83],[2,5,17],[2,6,53],[2,7,97],[3,4,15],[3,7,24],[4,5,17],[4,6,84],[5,6,59],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,2)=13,(3,4)=15,(2,5)=17,(4,5)=17,(3,7)=24,(5,7)=46,(2,6)=53,(5,6)=59,(0,7)=70,(2,3)=81,(2,4)=83,(4,6)=84,(1,5)=87,(1,6)=90,(2,7)=97,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=16\",\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=31\",\"Find(2)=1, Find(5)=0, Add (2,5)=17 Succeeded, w=48\",\"Find(4)=3, Find(5)=1, Add (4,5)=17 Succeeded, w=65\",\"Find(3)=1, Find(7)=7, Add (3,7)=24 Succeeded, w=89\",\"Find(5)=1, Find(7)=1, Add (5,7)=46 Failed, w=89\",\"Find(2)=1, Find(6)=6, Add (2,6)=53 Succeeded, w=142\",\"Find(5)=1, Find(6)=1, Add (5,6)=59 Failed, w=142\",\"Find(0)=1, Find(7)=1, Add (0,7)=70 Failed, w=142\",\"Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=142\",\"Find(2)=1, Find(4)=1, Add (2,4)=83 Failed, w=142\",\"Find(4)=1, Find(6)=1, Add (4,6)=84 Failed, w=142\",\"Find(1)=1, Find(5)=1, Add (1,5)=87 Failed, w=142\",\"Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=142\",\"Find(2)=1, Find(7)=1, Add (2,7)=97 Failed, w=142\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,5,3],[0,7,70],[1,2,13],[1,5,87],[1,6,90],[2,3,81],[2,4,83],[2,5,17],[2,6,53],[2,7,97],[3,4,15],[3,7,24],[4,5,17],[4,6,84],[5,6,59],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,2)=13,(3,4)=15,(2,5)=17,(4,5)=17,(3,7)=24,(5,7)=46,(2,6)=53,(5,6)=59,(0,7)=70,(2,3)=81,(2,4)=83,(4,6)=84,(1,5)=87,(1,6)=90,(2,7)=97,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0, 6: 6, 7: 7}, Find(2)=1, Find(5)=0, Add (2,5)=17 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6, 7: 7}, Find(4)=3, Find(5)=1, Add (4,5)=17 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=24 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=46 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=53 Succeeded, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=59 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=70 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=142\",\"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)=83 Failed, w=142\",\"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)=84 Failed, w=142\",\"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)=87 Failed, w=142\",\"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)=90 Failed, w=142\",\"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)=97 Failed, w=142\",\"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)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,3,88],[0,4,89],[0,5,99],[1,2,27],[1,3,48],[1,4,76],[1,5,86],[2,3,48],[2,4,74],[2,5,84],[3,4,23],[3,5,29],[4,5,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,3,88],[0,4,89],[0,5,99],[1,2,27],[1,3,48],[1,4,76],[1,5,86],[2,3,48],[2,4,74],[2,5,84],[3,4,23],[3,5,29],[4,5,57]]}",
"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],\"edges\":[[0,1,34],[0,3,88],[0,4,89],[0,5,99],[1,2,27],[1,3,48],[1,4,76],[1,5,86],[2,3,48],[2,4,74],[2,5,84],[3,4,23],[3,5,29],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,3,88],[0,4,89],[0,5,99],[1,2,27],[1,3,48],[1,4,76],[1,5,86],[2,3,48],[2,4,74],[2,5,84],[3,4,23],[3,5,29],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=23, w=23\",\"Add (1,2)=27, w=50\",\"Add (3,5)=29, w=79\",\"Add (0,1)=34, w=113\",\"Add (1,3)=48, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,3,88],[0,4,89],[0,5,99],[1,2,27],[1,3,48],[1,4,76],[1,5,86],[2,3,48],[2,4,74],[2,5,84],[3,4,23],[3,5,29],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=23 Succeeded, w=23\",\"Add (1,2)=27 Succeeded, w=50\",\"Add (3,5)=29 Succeeded, w=79\",\"Add (0,1)=34 Succeeded, w=113\",\"Add (1,3)=48 Succeeded, w=161\",\"Add (2,3)=48 Failed, w=161\",\"Add (4,5)=57 Failed, w=161\",\"Add (2,4)=74 Failed, w=161\",\"Add (1,4)=76 Failed, w=161\",\"Add (2,5)=84 Failed, w=161\",\"Add (1,5)=86 Failed, w=161\",\"Add (0,3)=88 Failed, w=161\",\"Add (0,4)=89 Failed, w=161\",\"Add (0,5)=99 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],\"edges\":[[0,1,34],[0,3,88],[0,4,89],[0,5,99],[1,2,27],[1,3,48],[1,4,76],[1,5,86],[2,3,48],[2,4,74],[2,5,84],[3,4,23],[3,5,29],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=23,(1,2)=27,(3,5)=29,(0,1)=34,(1,3)=48,(2,3)=48,(4,5)=57,(2,4)=74,(1,4)=76,(2,5)=84,(1,5)=86,(0,3)=88,(0,4)=89,(0,5)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=50\",\"Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=79\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=113\",\"Find(1)=1, Find(3)=3, Add (1,3)=48 Succeeded, w=161\",\"Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=161\",\"Find(4)=1, Find(5)=1, Add (4,5)=57 Failed, w=161\",\"Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=161\",\"Find(1)=1, Find(4)=1, Add (1,4)=76 Failed, w=161\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=161\",\"Find(1)=1, Find(5)=1, Add (1,5)=86 Failed, w=161\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=161\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=161\",\"Find(0)=1, Find(5)=1, Add (0,5)=99 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],\"edges\":[[0,1,34],[0,3,88],[0,4,89],[0,5,99],[1,2,27],[1,3,48],[1,4,76],[1,5,86],[2,3,48],[2,4,74],[2,5,84],[3,4,23],[3,5,29],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=23,(1,2)=27,(3,5)=29,(0,1)=34,(1,3)=48,(2,3)=48,(4,5)=57,(2,4)=74,(1,4)=76,(2,5)=84,(1,5)=86,(0,3)=88,(0,4)=89,(0,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=48 Succeeded, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=57 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=76 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=86 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=99 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,87],[0,2,42],[0,3,29],[0,4,84],[0,5,62],[0,6,61],[1,4,80],[1,5,57],[1,6,19],[3,5,91],[4,5,30],[4,6,52],[5,6,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,42],[0,3,29],[0,4,84],[0,5,62],[0,6,61],[1,4,80],[1,5,57],[1,6,19],[3,5,91],[4,5,30],[4,6,52],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,42],[0,3,29],[0,4,84],[0,5,62],[0,6,61],[1,4,80],[1,5,57],[1,6,19],[3,5,91],[4,5,30],[4,6,52],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (0,6)\"],\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,42],[0,3,29],[0,4,84],[0,5,62],[0,6,61],[1,4,80],[1,5,57],[1,6,19],[3,5,91],[4,5,30],[4,6,52],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2, w=2\",\"Add (1,6)=19, w=21\",\"Add (0,3)=29, w=50\",\"Add (4,5)=30, w=80\",\"Add (0,2)=42, w=122\",\"Add (0,6)=61, w=183\"],\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,42],[0,3,29],[0,4,84],[0,5,62],[0,6,61],[1,4,80],[1,5,57],[1,6,19],[3,5,91],[4,5,30],[4,6,52],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2 Succeeded, w=2\",\"Add (1,6)=19 Succeeded, w=21\",\"Add (0,3)=29 Succeeded, w=50\",\"Add (4,5)=30 Succeeded, w=80\",\"Add (0,2)=42 Succeeded, w=122\",\"Add (4,6)=52 Failed, w=122\",\"Add (1,5)=57 Failed, w=122\",\"Add (0,6)=61 Succeeded, w=183\",\"Add (0,5)=62 Failed, w=183\",\"Add (1,4)=80 Failed, w=183\",\"Add (0,4)=84 Failed, w=183\",\"Add (0,1)=87 Failed, w=183\",\"Add (3,5)=91 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,42],[0,3,29],[0,4,84],[0,5,62],[0,6,61],[1,4,80],[1,5,57],[1,6,19],[3,5,91],[4,5,30],[4,6,52],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(1,6)=19,(0,3)=29,(4,5)=30,(0,2)=42,(4,6)=52,(1,5)=57,(0,6)=61,(0,5)=62,(1,4)=80,(0,4)=84,(0,1)=87,(3,5)=91]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(6)=5, Add (1,6)=19 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=50\",\"Find(4)=4, Find(5)=5, Add (4,5)=30 Succeeded, w=80\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=122\",\"Find(4)=5, Find(6)=5, Add (4,6)=52 Failed, w=122\",\"Find(1)=5, Find(5)=5, Add (1,5)=57 Failed, w=122\",\"Find(0)=0, Find(6)=5, Add (0,6)=61 Succeeded, w=183\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=183\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=183\",\"Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=183\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=183\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,42],[0,3,29],[0,4,84],[0,5,62],[0,6,61],[1,4,80],[1,5,57],[1,6,19],[3,5,91],[4,5,30],[4,6,52],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(1,6)=19,(0,3)=29,(4,5)=30,(0,2)=42,(4,6)=52,(1,5)=57,(0,6)=61,(0,5)=62,(1,4)=80,(0,4)=84,(0,1)=87,(3,5)=91]\",\"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: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=19 Succeeded, w=21\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=50\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(5)=5, Add (4,5)=30 Succeeded, w=80\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 5, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=122\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(6)=5, Add (4,6)=52 Failed, w=122\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=57 Failed, w=122\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 5, 5: 0, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=61 Succeeded, w=183\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 5, 5: 0, 6: 5}, Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,3,62],[1,2,67],[1,3,6],[2,3,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,62],[1,2,67],[1,3,6],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":24}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,62],[1,2,67],[1,3,6],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":24}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,62],[1,2,67],[1,3,6],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (2,3)=7, w=13\",\"Add (0,1)=11, w=24\"],\"Answer\":24}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,62],[1,2,67],[1,3,6],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (2,3)=7 Succeeded, w=13\",\"Add (0,1)=11 Succeeded, w=24\",\"Add (0,3)=62 Failed, w=24\",\"Add (1,2)=67 Failed, w=24\"],\"Answer\":24}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,62],[1,2,67],[1,3,6],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(2,3)=7,(0,1)=11,(0,3)=62,(1,2)=67]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=1, Add (2,3)=7 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=24\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=24\",\"Find(1)=1, Find(2)=1, Add (1,2)=67 Failed, w=24\"],\"Answer\":24}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,3,62],[1,2,67],[1,3,6],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(2,3)=7,(0,1)=11,(0,3)=62,(1,2)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=7 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=67 Failed, w=24\"],\"Answer\":24}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,7],[0,2,20],[0,3,76],[0,5,12],[1,2,11],[1,3,79],[1,4,26],[1,5,3],[2,3,28],[2,4,97],[3,4,14],[3,5,16],[4,5,23]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,20],[0,3,76],[0,5,12],[1,2,11],[1,3,79],[1,4,26],[1,5,3],[2,3,28],[2,4,97],[3,4,14],[3,5,16],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,20],[0,3,76],[0,5,12],[1,2,11],[1,3,79],[1,4,26],[1,5,3],[2,3,28],[2,4,97],[3,4,14],[3,5,16],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (3,5)\"],\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,20],[0,3,76],[0,5,12],[1,2,11],[1,3,79],[1,4,26],[1,5,3],[2,3,28],[2,4,97],[3,4,14],[3,5,16],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (0,1)=7, w=10\",\"Add (1,2)=11, w=21\",\"Add (3,4)=14, w=35\",\"Add (3,5)=16, w=51\"],\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,20],[0,3,76],[0,5,12],[1,2,11],[1,3,79],[1,4,26],[1,5,3],[2,3,28],[2,4,97],[3,4,14],[3,5,16],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (0,1)=7 Succeeded, w=10\",\"Add (1,2)=11 Succeeded, w=21\",\"Add (0,5)=12 Failed, w=21\",\"Add (3,4)=14 Succeeded, w=35\",\"Add (3,5)=16 Succeeded, w=51\",\"Add (0,2)=20 Failed, w=51\",\"Add (4,5)=23 Failed, w=51\",\"Add (1,4)=26 Failed, w=51\",\"Add (2,3)=28 Failed, w=51\",\"Add (0,3)=76 Failed, w=51\",\"Add (1,3)=79 Failed, w=51\",\"Add (2,4)=97 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,20],[0,3,76],[0,5,12],[1,2,11],[1,3,79],[1,4,26],[1,5,3],[2,3,28],[2,4,97],[3,4,14],[3,5,16],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,1)=7,(1,2)=11,(0,5)=12,(3,4)=14,(3,5)=16,(0,2)=20,(4,5)=23,(1,4)=26,(2,3)=28,(0,3)=76,(1,3)=79,(2,4)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=21\",\"Find(0)=1, Find(5)=1, Add (0,5)=12 Failed, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=35\",\"Find(3)=3, Find(5)=1, Add (3,5)=16 Succeeded, w=51\",\"Find(0)=3, Find(2)=3, Add (0,2)=20 Failed, w=51\",\"Find(4)=3, Find(5)=3, Add (4,5)=23 Failed, w=51\",\"Find(1)=3, Find(4)=3, Add (1,4)=26 Failed, w=51\",\"Find(2)=3, Find(3)=3, Add (2,3)=28 Failed, w=51\",\"Find(0)=3, Find(3)=3, Add (0,3)=76 Failed, w=51\",\"Find(1)=3, Find(3)=3, Add (1,3)=79 Failed, w=51\",\"Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,20],[0,3,76],[0,5,12],[1,2,11],[1,3,79],[1,4,26],[1,5,3],[2,3,28],[2,4,97],[3,4,14],[3,5,16],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,1)=7,(1,2)=11,(0,5)=12,(3,4)=14,(3,5)=16,(0,2)=20,(4,5)=23,(1,4)=26,(2,3)=28,(0,3)=76,(1,3)=79,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=12 Failed, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=35\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=16 Succeeded, w=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(2)=3, Add (0,2)=20 Failed, w=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=23 Failed, w=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=26 Failed, w=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=28 Failed, w=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=76 Failed, w=51\",\"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=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,71],[0,3,70],[1,2,72],[1,3,5],[2,3,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,70],[1,2,72],[1,3,5],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,70],[1,2,72],[1,3,5],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,70],[1,2,72],[1,3,5],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (0,3)=70, w=75\",\"Add (1,2)=72, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,70],[1,2,72],[1,3,5],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (0,3)=70 Succeeded, w=75\",\"Add (0,1)=71 Failed, w=75\",\"Add (1,2)=72 Succeeded, w=147\",\"Add (2,3)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,70],[1,2,72],[1,3,5],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,3)=70,(0,1)=71,(1,2)=72,(2,3)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=1, Add (0,3)=70 Succeeded, w=75\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=75\",\"Find(1)=1, Find(2)=2, Add (1,2)=72 Succeeded, w=147\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,70],[1,2,72],[1,3,5],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,3)=70,(0,1)=71,(1,2)=72,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=70 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=72 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,97],[0,2,2],[0,3,59],[0,4,92],[1,2,69],[1,3,30],[1,4,9],[2,3,29],[2,5,88],[3,4,95],[3,5,65],[4,5,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,2],[0,3,59],[0,4,92],[1,2,69],[1,3,30],[1,4,9],[2,3,29],[2,5,88],[3,4,95],[3,5,65],[4,5,52]]}",
"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\":[[0,1,97],[0,2,2],[0,3,59],[0,4,92],[1,2,69],[1,3,30],[1,4,9],[2,3,29],[2,5,88],[3,4,95],[3,5,65],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,2],[0,3,59],[0,4,92],[1,2,69],[1,3,30],[1,4,9],[2,3,29],[2,5,88],[3,4,95],[3,5,65],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (1,4)=9, w=11\",\"Add (2,3)=29, w=40\",\"Add (1,3)=30, w=70\",\"Add (4,5)=52, 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\":[[0,1,97],[0,2,2],[0,3,59],[0,4,92],[1,2,69],[1,3,30],[1,4,9],[2,3,29],[2,5,88],[3,4,95],[3,5,65],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,4)=9 Succeeded, w=11\",\"Add (2,3)=29 Succeeded, w=40\",\"Add (1,3)=30 Succeeded, w=70\",\"Add (4,5)=52 Succeeded, w=122\",\"Add (0,3)=59 Failed, w=122\",\"Add (3,5)=65 Failed, w=122\",\"Add (1,2)=69 Failed, w=122\",\"Add (2,5)=88 Failed, w=122\",\"Add (0,4)=92 Failed, w=122\",\"Add (3,4)=95 Failed, w=122\",\"Add (0,1)=97 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\":[[0,1,97],[0,2,2],[0,3,59],[0,4,92],[1,2,69],[1,3,30],[1,4,9],[2,3,29],[2,5,88],[3,4,95],[3,5,65],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,4)=9,(2,3)=29,(1,3)=30,(4,5)=52,(0,3)=59,(3,5)=65,(1,2)=69,(2,5)=88,(0,4)=92,(3,4)=95,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=11\",\"Find(2)=0, Find(3)=3, Add (2,3)=29 Succeeded, w=40\",\"Find(1)=1, Find(3)=0, Add (1,3)=30 Succeeded, w=70\",\"Find(4)=1, Find(5)=5, Add (4,5)=52 Succeeded, w=122\",\"Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=122\",\"Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=122\",\"Find(1)=1, Find(2)=1, Add (1,2)=69 Failed, w=122\",\"Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=122\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=122\",\"Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=122\",\"Find(0)=1, Find(1)=1, Add (0,1)=97 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\":[[0,1,97],[0,2,2],[0,3,59],[0,4,92],[1,2,69],[1,3,30],[1,4,9],[2,3,29],[2,5,88],[3,4,95],[3,5,65],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,4)=9,(2,3)=29,(1,3)=30,(4,5)=52,(0,3)=59,(3,5)=65,(1,2)=69,(2,5)=88,(0,4)=92,(3,4)=95,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5}, Find(2)=0, Find(3)=3, Add (2,3)=29 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=30 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=52 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=69 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,2,25],[0,3,5],[1,3,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,25],[0,3,5],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,25],[0,3,5],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,25],[0,3,5],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (1,3)=7, w=12\",\"Add (0,2)=25, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,25],[0,3,5],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,3)=7 Succeeded, w=12\",\"Add (0,1)=13 Failed, w=12\",\"Add (0,2)=25 Succeeded, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,25],[0,3,5],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,3)=7,(0,1)=13,(0,2)=25]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=0, Add (1,3)=7 Succeeded, w=12\",\"Find(0)=0, Find(1)=0, Add (0,1)=13 Failed, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,25],[0,3,5],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,3)=7,(0,1)=13,(0,2)=25]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=13 Failed, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,25],[0,3,84],[0,5,12],[0,6,89],[1,3,30],[1,4,90],[1,5,6],[2,3,71],[2,4,58],[2,5,95],[2,6,83],[3,4,81],[3,5,11],[3,6,74],[4,5,24],[5,6,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,84],[0,5,12],[0,6,89],[1,3,30],[1,4,90],[1,5,6],[2,3,71],[2,4,58],[2,5,95],[2,6,83],[3,4,81],[3,5,11],[3,6,74],[4,5,24],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,84],[0,5,12],[0,6,89],[1,3,30],[1,4,90],[1,5,6],[2,3,71],[2,4,58],[2,5,95],[2,6,83],[3,4,81],[3,5,11],[3,6,74],[4,5,24],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (3,6)\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,84],[0,5,12],[0,6,89],[1,3,30],[1,4,90],[1,5,6],[2,3,71],[2,4,58],[2,5,95],[2,6,83],[3,4,81],[3,5,11],[3,6,74],[4,5,24],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6, w=6\",\"Add (3,5)=11, w=17\",\"Add (0,5)=12, w=29\",\"Add (4,5)=24, w=53\",\"Add (2,4)=58, w=111\",\"Add (3,6)=74, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,84],[0,5,12],[0,6,89],[1,3,30],[1,4,90],[1,5,6],[2,3,71],[2,4,58],[2,5,95],[2,6,83],[3,4,81],[3,5,11],[3,6,74],[4,5,24],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6 Succeeded, w=6\",\"Add (3,5)=11 Succeeded, w=17\",\"Add (0,5)=12 Succeeded, w=29\",\"Add (4,5)=24 Succeeded, w=53\",\"Add (0,1)=25 Failed, w=53\",\"Add (1,3)=30 Failed, w=53\",\"Add (2,4)=58 Succeeded, w=111\",\"Add (2,3)=71 Failed, w=111\",\"Add (3,6)=74 Succeeded, w=185\",\"Add (3,4)=81 Failed, w=185\",\"Add (2,6)=83 Failed, w=185\",\"Add (0,3)=84 Failed, w=185\",\"Add (0,6)=89 Failed, w=185\",\"Add (1,4)=90 Failed, w=185\",\"Add (5,6)=91 Failed, w=185\",\"Add (2,5)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,84],[0,5,12],[0,6,89],[1,3,30],[1,4,90],[1,5,6],[2,3,71],[2,4,58],[2,5,95],[2,6,83],[3,4,81],[3,5,11],[3,6,74],[4,5,24],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(3,5)=11,(0,5)=12,(4,5)=24,(0,1)=25,(1,3)=30,(2,4)=58,(2,3)=71,(3,6)=74,(3,4)=81,(2,6)=83,(0,3)=84,(0,6)=89,(1,4)=90,(5,6)=91,(2,5)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Find(3)=3, Find(5)=1, Add (3,5)=11 Succeeded, w=17\",\"Find(0)=0, Find(5)=1, Add (0,5)=12 Succeeded, w=29\",\"Find(4)=4, Find(5)=1, Add (4,5)=24 Succeeded, w=53\",\"Find(0)=1, Find(1)=1, Add (0,1)=25 Failed, w=53\",\"Find(1)=1, Find(3)=1, Add (1,3)=30 Failed, w=53\",\"Find(2)=2, Find(4)=1, Add (2,4)=58 Succeeded, w=111\",\"Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=111\",\"Find(3)=1, Find(6)=6, Add (3,6)=74 Succeeded, w=185\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=185\",\"Find(2)=1, Find(6)=1, Add (2,6)=83 Failed, w=185\",\"Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=185\",\"Find(0)=1, Find(6)=1, Add (0,6)=89 Failed, w=185\",\"Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=185\",\"Find(5)=1, Find(6)=1, Add (5,6)=91 Failed, w=185\",\"Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,84],[0,5,12],[0,6,89],[1,3,30],[1,4,90],[1,5,6],[2,3,71],[2,4,58],[2,5,95],[2,6,83],[3,4,81],[3,5,11],[3,6,74],[4,5,24],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(3,5)=11,(0,5)=12,(4,5)=24,(0,1)=25,(1,3)=30,(2,4)=58,(2,3)=71,(3,6)=74,(3,4)=81,(2,6)=83,(0,3)=84,(0,6)=89,(1,4)=90,(5,6)=91,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(3)=3, Find(5)=1, Add (3,5)=11 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(5)=1, Add (0,5)=12 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6}, Find(4)=4, Find(5)=1, Add (4,5)=24 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(1)=1, Add (0,1)=25 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(3)=1, Add (1,3)=30 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(2)=2, Find(4)=1, Add (2,4)=58 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=74 Succeeded, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=83 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=89 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=91 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,13],[0,2,14],[0,3,7],[0,4,42],[1,2,35],[1,3,91],[1,4,29],[2,3,38],[2,4,46],[3,4,30]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,7],[0,4,42],[1,2,35],[1,3,91],[1,4,29],[2,3,38],[2,4,46],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,7],[0,4,42],[1,2,35],[1,3,91],[1,4,29],[2,3,38],[2,4,46],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,7],[0,4,42],[1,2,35],[1,3,91],[1,4,29],[2,3,38],[2,4,46],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (0,1)=13, w=20\",\"Add (0,2)=14, w=34\",\"Add (1,4)=29, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,7],[0,4,42],[1,2,35],[1,3,91],[1,4,29],[2,3,38],[2,4,46],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,1)=13 Succeeded, w=20\",\"Add (0,2)=14 Succeeded, w=34\",\"Add (1,4)=29 Succeeded, w=63\",\"Add (3,4)=30 Failed, w=63\",\"Add (1,2)=35 Failed, w=63\",\"Add (2,3)=38 Failed, w=63\",\"Add (0,4)=42 Failed, w=63\",\"Add (2,4)=46 Failed, w=63\",\"Add (1,3)=91 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,7],[0,4,42],[1,2,35],[1,3,91],[1,4,29],[2,3,38],[2,4,46],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,1)=13,(0,2)=14,(1,4)=29,(3,4)=30,(1,2)=35,(2,3)=38,(0,4)=42,(2,4)=46,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=34\",\"Find(1)=0, Find(4)=4, Add (1,4)=29 Succeeded, w=63\",\"Find(3)=0, Find(4)=0, Add (3,4)=30 Failed, w=63\",\"Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=63\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=63\",\"Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=63\",\"Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=63\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,7],[0,4,42],[1,2,35],[1,3,91],[1,4,29],[2,3,38],[2,4,46],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,1)=13,(0,2)=14,(1,4)=29,(3,4)=30,(1,2)=35,(2,3)=38,(0,4)=42,(2,4)=46,(1,3)=91]\",\"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)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=29 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=30 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,68],[0,2,38],[0,3,0],[0,4,77],[1,2,68],[1,3,29],[2,3,74],[2,4,7],[2,5,82],[3,4,50],[3,5,55],[3,6,75],[5,6,92]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,38],[0,3,0],[0,4,77],[1,2,68],[1,3,29],[2,3,74],[2,4,7],[2,5,82],[3,4,50],[3,5,55],[3,6,75],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,38],[0,3,0],[0,4,77],[1,2,68],[1,3,29],[2,3,74],[2,4,7],[2,5,82],[3,4,50],[3,5,55],[3,6,75],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (3,6)\"],\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,38],[0,3,0],[0,4,77],[1,2,68],[1,3,29],[2,3,74],[2,4,7],[2,5,82],[3,4,50],[3,5,55],[3,6,75],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,4)=7, w=7\",\"Add (1,3)=29, w=36\",\"Add (0,2)=38, w=74\",\"Add (3,5)=55, w=129\",\"Add (3,6)=75, w=204\"],\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,38],[0,3,0],[0,4,77],[1,2,68],[1,3,29],[2,3,74],[2,4,7],[2,5,82],[3,4,50],[3,5,55],[3,6,75],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,4)=7 Succeeded, w=7\",\"Add (1,3)=29 Succeeded, w=36\",\"Add (0,2)=38 Succeeded, w=74\",\"Add (3,4)=50 Failed, w=74\",\"Add (3,5)=55 Succeeded, w=129\",\"Add (0,1)=68 Failed, w=129\",\"Add (1,2)=68 Failed, w=129\",\"Add (2,3)=74 Failed, w=129\",\"Add (3,6)=75 Succeeded, w=204\",\"Add (0,4)=77 Failed, w=204\",\"Add (2,5)=82 Failed, w=204\",\"Add (5,6)=92 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,38],[0,3,0],[0,4,77],[1,2,68],[1,3,29],[2,3,74],[2,4,7],[2,5,82],[3,4,50],[3,5,55],[3,6,75],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,4)=7,(1,3)=29,(0,2)=38,(3,4)=50,(3,5)=55,(0,1)=68,(1,2)=68,(2,3)=74,(3,6)=75,(0,4)=77,(2,5)=82,(5,6)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=0, Add (1,3)=29 Succeeded, w=36\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=50 Failed, w=74\",\"Find(3)=0, Find(5)=5, Add (3,5)=55 Succeeded, w=129\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=129\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=129\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=129\",\"Find(3)=0, Find(6)=6, Add (3,6)=75 Succeeded, w=204\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=204\",\"Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=204\",\"Find(5)=0, Find(6)=0, Add (5,6)=92 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,38],[0,3,0],[0,4,77],[1,2,68],[1,3,29],[2,3,74],[2,4,7],[2,5,82],[3,4,50],[3,5,55],[3,6,75],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,4)=7,(1,3)=29,(0,2)=38,(3,4)=50,(3,5)=55,(0,1)=68,(1,2)=68,(2,3)=74,(3,6)=75,(0,4)=77,(2,5)=82,(5,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=29 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=0, Find(4)=0, Add (3,4)=50 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(5)=5, Add (3,5)=55 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=75 Succeeded, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=92 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,2,29],[0,3,21],[0,4,93],[0,5,69],[0,6,97],[0,7,87],[1,2,77],[1,3,25],[1,4,12],[1,5,91],[1,6,32],[1,7,52],[2,3,18],[2,4,7],[2,5,1],[2,6,52],[2,7,21],[3,4,80],[3,5,83],[3,6,61],[3,7,86],[4,5,3],[4,7,98],[5,6,88],[5,7,100],[6,7,4]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,29],[0,3,21],[0,4,93],[0,5,69],[0,6,97],[0,7,87],[1,2,77],[1,3,25],[1,4,12],[1,5,91],[1,6,32],[1,7,52],[2,3,18],[2,4,7],[2,5,1],[2,6,52],[2,7,21],[3,4,80],[3,5,83],[3,6,61],[3,7,86],[4,5,3],[4,7,98],[5,6,88],[5,7,100],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,29],[0,3,21],[0,4,93],[0,5,69],[0,6,97],[0,7,87],[1,2,77],[1,3,25],[1,4,12],[1,5,91],[1,6,32],[1,7,52],[2,3,18],[2,4,7],[2,5,1],[2,6,52],[2,7,21],[3,4,80],[3,5,83],[3,6,61],[3,7,86],[4,5,3],[4,7,98],[5,6,88],[5,7,100],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (6,7)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (2,7)\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,29],[0,3,21],[0,4,93],[0,5,69],[0,6,97],[0,7,87],[1,2,77],[1,3,25],[1,4,12],[1,5,91],[1,6,32],[1,7,52],[2,3,18],[2,4,7],[2,5,1],[2,6,52],[2,7,21],[3,4,80],[3,5,83],[3,6,61],[3,7,86],[4,5,3],[4,7,98],[5,6,88],[5,7,100],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (4,5)=3, w=4\",\"Add (6,7)=4, w=8\",\"Add (1,4)=12, w=20\",\"Add (2,3)=18, w=38\",\"Add (0,3)=21, w=59\",\"Add (2,7)=21, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,29],[0,3,21],[0,4,93],[0,5,69],[0,6,97],[0,7,87],[1,2,77],[1,3,25],[1,4,12],[1,5,91],[1,6,32],[1,7,52],[2,3,18],[2,4,7],[2,5,1],[2,6,52],[2,7,21],[3,4,80],[3,5,83],[3,6,61],[3,7,86],[4,5,3],[4,7,98],[5,6,88],[5,7,100],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (4,5)=3 Succeeded, w=4\",\"Add (6,7)=4 Succeeded, w=8\",\"Add (2,4)=7 Failed, w=8\",\"Add (1,4)=12 Succeeded, w=20\",\"Add (2,3)=18 Succeeded, w=38\",\"Add (0,3)=21 Succeeded, w=59\",\"Add (2,7)=21 Succeeded, w=80\",\"Add (1,3)=25 Failed, w=80\",\"Add (0,2)=29 Failed, w=80\",\"Add (1,6)=32 Failed, w=80\",\"Add (0,1)=51 Failed, w=80\",\"Add (1,7)=52 Failed, w=80\",\"Add (2,6)=52 Failed, w=80\",\"Add (3,6)=61 Failed, w=80\",\"Add (0,5)=69 Failed, w=80\",\"Add (1,2)=77 Failed, w=80\",\"Add (3,4)=80 Failed, w=80\",\"Add (3,5)=83 Failed, w=80\",\"Add (3,7)=86 Failed, w=80\",\"Add (0,7)=87 Failed, w=80\",\"Add (5,6)=88 Failed, w=80\",\"Add (1,5)=91 Failed, w=80\",\"Add (0,4)=93 Failed, w=80\",\"Add (0,6)=97 Failed, w=80\",\"Add (4,7)=98 Failed, w=80\",\"Add (5,7)=100 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,29],[0,3,21],[0,4,93],[0,5,69],[0,6,97],[0,7,87],[1,2,77],[1,3,25],[1,4,12],[1,5,91],[1,6,32],[1,7,52],[2,3,18],[2,4,7],[2,5,1],[2,6,52],[2,7,21],[3,4,80],[3,5,83],[3,6,61],[3,7,86],[4,5,3],[4,7,98],[5,6,88],[5,7,100],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,5)=3,(6,7)=4,(2,4)=7,(1,4)=12,(2,3)=18,(0,3)=21,(2,7)=21,(1,3)=25,(0,2)=29,(1,6)=32,(0,1)=51,(1,7)=52,(2,6)=52,(3,6)=61,(0,5)=69,(1,2)=77,(3,4)=80,(3,5)=83,(3,7)=86,(0,7)=87,(5,6)=88,(1,5)=91,(0,4)=93,(0,6)=97,(4,7)=98,(5,7)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=2, Add (4,5)=3 Succeeded, w=4\",\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=8\",\"Find(2)=2, Find(4)=2, Add (2,4)=7 Failed, w=8\",\"Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=38\",\"Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=59\",\"Find(2)=2, Find(7)=6, Add (2,7)=21 Succeeded, w=80\",\"Find(1)=2, Find(3)=2, Add (1,3)=25 Failed, w=80\",\"Find(0)=2, Find(2)=2, Add (0,2)=29 Failed, w=80\",\"Find(1)=2, Find(6)=2, Add (1,6)=32 Failed, w=80\",\"Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=80\",\"Find(1)=2, Find(7)=2, Add (1,7)=52 Failed, w=80\",\"Find(2)=2, Find(6)=2, Add (2,6)=52 Failed, w=80\",\"Find(3)=2, Find(6)=2, Add (3,6)=61 Failed, w=80\",\"Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=80\",\"Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=80\",\"Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=80\",\"Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=80\",\"Find(3)=2, Find(7)=2, Add (3,7)=86 Failed, w=80\",\"Find(0)=2, Find(7)=2, Add (0,7)=87 Failed, w=80\",\"Find(5)=2, Find(6)=2, Add (5,6)=88 Failed, w=80\",\"Find(1)=2, Find(5)=2, Add (1,5)=91 Failed, w=80\",\"Find(0)=2, Find(4)=2, Add (0,4)=93 Failed, w=80\",\"Find(0)=2, Find(6)=2, Add (0,6)=97 Failed, w=80\",\"Find(4)=2, Find(7)=2, Add (4,7)=98 Failed, w=80\",\"Find(5)=2, Find(7)=2, Add (5,7)=100 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,29],[0,3,21],[0,4,93],[0,5,69],[0,6,97],[0,7,87],[1,2,77],[1,3,25],[1,4,12],[1,5,91],[1,6,32],[1,7,52],[2,3,18],[2,4,7],[2,5,1],[2,6,52],[2,7,21],[3,4,80],[3,5,83],[3,6,61],[3,7,86],[4,5,3],[4,7,98],[5,6,88],[5,7,100],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,5)=3,(6,7)=4,(2,4)=7,(1,4)=12,(2,3)=18,(0,3)=21,(2,7)=21,(1,3)=25,(0,2)=29,(1,6)=32,(0,1)=51,(1,7)=52,(2,6)=52,(3,6)=61,(0,5)=69,(1,2)=77,(3,4)=80,(3,5)=83,(3,7)=86,(0,7)=87,(5,6)=88,(1,5)=91,(0,4)=93,(0,6)=97,(4,7)=98,(5,7)=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)=1 Succeeded, w=1\",\"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)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 6}, Find(2)=2, Find(4)=2, Add (2,4)=7 Failed, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 6}, Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=20\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 6}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 6}, Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=21 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(1)=2, Find(3)=2, Add (1,3)=25 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(2)=2, Add (0,2)=29 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(1)=2, Find(6)=2, Add (1,6)=32 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=80\",\"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)=52 Failed, w=80\",\"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)=52 Failed, w=80\",\"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)=61 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=80\",\"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)=80 Failed, w=80\",\"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)=83 Failed, w=80\",\"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)=86 Failed, w=80\",\"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)=87 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=88 Failed, w=80\",\"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)=91 Failed, w=80\",\"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)=93 Failed, w=80\",\"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)=97 Failed, w=80\",\"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)=98 Failed, w=80\",\"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)=100 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,28],[0,2,84],[0,3,27],[0,4,24],[0,5,35],[1,2,25],[1,3,92],[1,4,40],[1,5,77],[2,3,1],[2,4,25],[2,5,90],[3,4,100],[3,5,15],[4,5,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,84],[0,3,27],[0,4,24],[0,5,35],[1,2,25],[1,3,92],[1,4,40],[1,5,77],[2,3,1],[2,4,25],[2,5,90],[3,4,100],[3,5,15],[4,5,0]]}",
"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],\"edges\":[[0,1,28],[0,2,84],[0,3,27],[0,4,24],[0,5,35],[1,2,25],[1,3,92],[1,4,40],[1,5,77],[2,3,1],[2,4,25],[2,5,90],[3,4,100],[3,5,15],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":65}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,84],[0,3,27],[0,4,24],[0,5,35],[1,2,25],[1,3,92],[1,4,40],[1,5,77],[2,3,1],[2,4,25],[2,5,90],[3,4,100],[3,5,15],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (2,3)=1, w=1\",\"Add (3,5)=15, w=16\",\"Add (0,4)=24, w=40\",\"Add (1,2)=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],\"edges\":[[0,1,28],[0,2,84],[0,3,27],[0,4,24],[0,5,35],[1,2,25],[1,3,92],[1,4,40],[1,5,77],[2,3,1],[2,4,25],[2,5,90],[3,4,100],[3,5,15],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (2,3)=1 Succeeded, w=1\",\"Add (3,5)=15 Succeeded, w=16\",\"Add (0,4)=24 Succeeded, w=40\",\"Add (1,2)=25 Succeeded, w=65\",\"Add (2,4)=25 Failed, w=65\",\"Add (0,3)=27 Failed, w=65\",\"Add (0,1)=28 Failed, w=65\",\"Add (0,5)=35 Failed, w=65\",\"Add (1,4)=40 Failed, w=65\",\"Add (1,5)=77 Failed, w=65\",\"Add (0,2)=84 Failed, w=65\",\"Add (2,5)=90 Failed, w=65\",\"Add (1,3)=92 Failed, w=65\",\"Add (3,4)=100 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],\"edges\":[[0,1,28],[0,2,84],[0,3,27],[0,4,24],[0,5,35],[1,2,25],[1,3,92],[1,4,40],[1,5,77],[2,3,1],[2,4,25],[2,5,90],[3,4,100],[3,5,15],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(2,3)=1,(3,5)=15,(0,4)=24,(1,2)=25,(2,4)=25,(0,3)=27,(0,1)=28,(0,5)=35,(1,4)=40,(1,5)=77,(0,2)=84,(2,5)=90,(1,3)=92,(3,4)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(3)=2, Find(5)=4, Add (3,5)=15 Succeeded, w=16\",\"Find(0)=0, Find(4)=2, Add (0,4)=24 Succeeded, w=40\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=65\",\"Find(2)=2, Find(4)=2, Add (2,4)=25 Failed, w=65\",\"Find(0)=2, Find(3)=2, Add (0,3)=27 Failed, w=65\",\"Find(0)=2, Find(1)=2, Add (0,1)=28 Failed, w=65\",\"Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=65\",\"Find(1)=2, Find(4)=2, Add (1,4)=40 Failed, w=65\",\"Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=65\",\"Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=65\",\"Find(2)=2, Find(5)=2, Add (2,5)=90 Failed, w=65\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=65\",\"Find(3)=2, Find(4)=2, Add (3,4)=100 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],\"edges\":[[0,1,28],[0,2,84],[0,3,27],[0,4,24],[0,5,35],[1,2,25],[1,3,92],[1,4,40],[1,5,77],[2,3,1],[2,4,25],[2,5,90],[3,4,100],[3,5,15],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(2,3)=1,(3,5)=15,(0,4)=24,(1,2)=25,(2,4)=25,(0,3)=27,(0,1)=28,(0,5)=35,(1,4)=40,(1,5)=77,(0,2)=84,(2,5)=90,(1,3)=92,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(5)=4, Add (3,5)=15 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=0, Find(4)=2, Add (0,4)=24 Succeeded, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(2)=2, Find(4)=2, Add (2,4)=25 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(3)=2, Add (0,3)=27 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(1)=2, Add (0,1)=28 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=40 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=90 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,2,74],[0,3,64],[0,4,73],[1,2,46],[1,4,18],[2,3,12],[2,4,81],[2,5,77],[3,4,68],[3,5,40],[4,5,59]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,74],[0,3,64],[0,4,73],[1,2,46],[1,4,18],[2,3,12],[2,4,81],[2,5,77],[3,4,68],[3,5,40],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,74],[0,3,64],[0,4,73],[1,2,46],[1,4,18],[2,3,12],[2,4,81],[2,5,77],[3,4,68],[3,5,40],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (1,2)\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,74],[0,3,64],[0,4,73],[1,2,46],[1,4,18],[2,3,12],[2,4,81],[2,5,77],[3,4,68],[3,5,40],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (2,3)=12, w=22\",\"Add (1,4)=18, w=40\",\"Add (3,5)=40, w=80\",\"Add (1,2)=46, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,74],[0,3,64],[0,4,73],[1,2,46],[1,4,18],[2,3,12],[2,4,81],[2,5,77],[3,4,68],[3,5,40],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (2,3)=12 Succeeded, w=22\",\"Add (1,4)=18 Succeeded, w=40\",\"Add (3,5)=40 Succeeded, w=80\",\"Add (1,2)=46 Succeeded, w=126\",\"Add (4,5)=59 Failed, w=126\",\"Add (0,3)=64 Failed, w=126\",\"Add (3,4)=68 Failed, w=126\",\"Add (0,4)=73 Failed, w=126\",\"Add (0,2)=74 Failed, w=126\",\"Add (2,5)=77 Failed, w=126\",\"Add (2,4)=81 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,74],[0,3,64],[0,4,73],[1,2,46],[1,4,18],[2,3,12],[2,4,81],[2,5,77],[3,4,68],[3,5,40],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(2,3)=12,(1,4)=18,(3,5)=40,(1,2)=46,(4,5)=59,(0,3)=64,(3,4)=68,(0,4)=73,(0,2)=74,(2,5)=77,(2,4)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=22\",\"Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=40\",\"Find(3)=2, Find(5)=5, Add (3,5)=40 Succeeded, w=80\",\"Find(1)=0, Find(2)=2, Add (1,2)=46 Succeeded, w=126\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=126\",\"Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=126\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=126\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=126\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=126\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=126\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,74],[0,3,64],[0,4,73],[1,2,46],[1,4,18],[2,3,12],[2,4,81],[2,5,77],[3,4,68],[3,5,40],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(2,3)=12,(1,4)=18,(3,5)=40,(1,2)=46,(4,5)=59,(0,3)=64,(3,4)=68,(0,4)=73,(0,2)=74,(2,5)=77,(2,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=40 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(1)=0, Find(2)=2, Add (1,2)=46 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,60],[0,2,43],[1,2,18],[1,3,43]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,43],[1,2,18],[1,3,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,43],[1,2,18],[1,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,43],[1,2,18],[1,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=18, w=18\",\"Add (0,2)=43, w=61\",\"Add (1,3)=43, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,43],[1,2,18],[1,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=18 Succeeded, w=18\",\"Add (0,2)=43 Succeeded, w=61\",\"Add (1,3)=43 Succeeded, w=104\",\"Add (0,1)=60 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,43],[1,2,18],[1,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=18,(0,2)=43,(1,3)=43,(0,1)=60]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=18\",\"Find(0)=0, Find(2)=1, Add (0,2)=43 Succeeded, w=61\",\"Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=104\",\"Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,43],[1,2,18],[1,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=18,(0,2)=43,(1,3)=43,(0,1)=60]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=43 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,35],[0,2,6],[0,3,4],[0,4,34],[0,5,58],[0,6,6],[0,7,30],[1,2,92],[1,3,3],[1,4,32],[1,5,1],[1,6,45],[1,7,6],[2,3,71],[2,4,0],[2,5,96],[2,6,38],[2,7,53],[3,4,19],[3,6,39],[4,5,88],[4,6,23],[4,7,73],[5,6,99],[5,7,81],[6,7,44]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,6],[0,3,4],[0,4,34],[0,5,58],[0,6,6],[0,7,30],[1,2,92],[1,3,3],[1,4,32],[1,5,1],[1,6,45],[1,7,6],[2,3,71],[2,4,0],[2,5,96],[2,6,38],[2,7,53],[3,4,19],[3,6,39],[4,5,88],[4,6,23],[4,7,73],[5,6,99],[5,7,81],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":26}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,6],[0,3,4],[0,4,34],[0,5,58],[0,6,6],[0,7,30],[1,2,92],[1,3,3],[1,4,32],[1,5,1],[1,6,45],[1,7,6],[2,3,71],[2,4,0],[2,5,96],[2,6,38],[2,7,53],[3,4,19],[3,6,39],[4,5,88],[4,6,23],[4,7,73],[5,6,99],[5,7,81],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (1,7)\"],\"Answer\":26}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,6],[0,3,4],[0,4,34],[0,5,58],[0,6,6],[0,7,30],[1,2,92],[1,3,3],[1,4,32],[1,5,1],[1,6,45],[1,7,6],[2,3,71],[2,4,0],[2,5,96],[2,6,38],[2,7,53],[3,4,19],[3,6,39],[4,5,88],[4,6,23],[4,7,73],[5,6,99],[5,7,81],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (1,5)=1, w=1\",\"Add (1,3)=3, w=4\",\"Add (0,3)=4, w=8\",\"Add (0,2)=6, w=14\",\"Add (0,6)=6, w=20\",\"Add (1,7)=6, w=26\"],\"Answer\":26}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,6],[0,3,4],[0,4,34],[0,5,58],[0,6,6],[0,7,30],[1,2,92],[1,3,3],[1,4,32],[1,5,1],[1,6,45],[1,7,6],[2,3,71],[2,4,0],[2,5,96],[2,6,38],[2,7,53],[3,4,19],[3,6,39],[4,5,88],[4,6,23],[4,7,73],[5,6,99],[5,7,81],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (1,5)=1 Succeeded, w=1\",\"Add (1,3)=3 Succeeded, w=4\",\"Add (0,3)=4 Succeeded, w=8\",\"Add (0,2)=6 Succeeded, w=14\",\"Add (0,6)=6 Succeeded, w=20\",\"Add (1,7)=6 Succeeded, w=26\",\"Add (3,4)=19 Failed, w=26\",\"Add (4,6)=23 Failed, w=26\",\"Add (0,7)=30 Failed, w=26\",\"Add (1,4)=32 Failed, w=26\",\"Add (0,4)=34 Failed, w=26\",\"Add (0,1)=35 Failed, w=26\",\"Add (2,6)=38 Failed, w=26\",\"Add (3,6)=39 Failed, w=26\",\"Add (6,7)=44 Failed, w=26\",\"Add (1,6)=45 Failed, w=26\",\"Add (2,7)=53 Failed, w=26\",\"Add (0,5)=58 Failed, w=26\",\"Add (2,3)=71 Failed, w=26\",\"Add (4,7)=73 Failed, w=26\",\"Add (5,7)=81 Failed, w=26\",\"Add (4,5)=88 Failed, w=26\",\"Add (1,2)=92 Failed, w=26\",\"Add (2,5)=96 Failed, w=26\",\"Add (5,6)=99 Failed, w=26\"],\"Answer\":26}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,6],[0,3,4],[0,4,34],[0,5,58],[0,6,6],[0,7,30],[1,2,92],[1,3,3],[1,4,32],[1,5,1],[1,6,45],[1,7,6],[2,3,71],[2,4,0],[2,5,96],[2,6,38],[2,7,53],[3,4,19],[3,6,39],[4,5,88],[4,6,23],[4,7,73],[5,6,99],[5,7,81],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,5)=1,(1,3)=3,(0,3)=4,(0,2)=6,(0,6)=6,(1,7)=6,(3,4)=19,(4,6)=23,(0,7)=30,(1,4)=32,(0,4)=34,(0,1)=35,(2,6)=38,(3,6)=39,(6,7)=44,(1,6)=45,(2,7)=53,(0,5)=58,(2,3)=71,(4,7)=73,(5,7)=81,(4,5)=88,(1,2)=92,(2,5)=96,(5,6)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Find(0)=0, Find(3)=1, Add (0,3)=4 Succeeded, w=8\",\"Find(0)=1, Find(2)=2, Add (0,2)=6 Succeeded, w=14\",\"Find(0)=1, Find(6)=6, Add (0,6)=6 Succeeded, w=20\",\"Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=26\",\"Find(3)=1, Find(4)=1, Add (3,4)=19 Failed, w=26\",\"Find(4)=1, Find(6)=1, Add (4,6)=23 Failed, w=26\",\"Find(0)=1, Find(7)=1, Add (0,7)=30 Failed, w=26\",\"Find(1)=1, Find(4)=1, Add (1,4)=32 Failed, w=26\",\"Find(0)=1, Find(4)=1, Add (0,4)=34 Failed, w=26\",\"Find(0)=1, Find(1)=1, Add (0,1)=35 Failed, w=26\",\"Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=26\",\"Find(3)=1, Find(6)=1, Add (3,6)=39 Failed, w=26\",\"Find(6)=1, Find(7)=1, Add (6,7)=44 Failed, w=26\",\"Find(1)=1, Find(6)=1, Add (1,6)=45 Failed, w=26\",\"Find(2)=1, Find(7)=1, Add (2,7)=53 Failed, w=26\",\"Find(0)=1, Find(5)=1, Add (0,5)=58 Failed, w=26\",\"Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=26\",\"Find(4)=1, Find(7)=1, Add (4,7)=73 Failed, w=26\",\"Find(5)=1, Find(7)=1, Add (5,7)=81 Failed, w=26\",\"Find(4)=1, Find(5)=1, Add (4,5)=88 Failed, w=26\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=26\",\"Find(2)=1, Find(5)=1, Add (2,5)=96 Failed, w=26\",\"Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=26\"],\"Answer\":26}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,6],[0,3,4],[0,4,34],[0,5,58],[0,6,6],[0,7,30],[1,2,92],[1,3,3],[1,4,32],[1,5,1],[1,6,45],[1,7,6],[2,3,71],[2,4,0],[2,5,96],[2,6,38],[2,7,53],[3,4,19],[3,6,39],[4,5,88],[4,6,23],[4,7,73],[5,6,99],[5,7,81],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,5)=1,(1,3)=3,(0,3)=4,(0,2)=6,(0,6)=6,(1,7)=6,(3,4)=19,(4,6)=23,(0,7)=30,(1,4)=32,(0,4)=34,(0,1)=35,(2,6)=38,(3,6)=39,(6,7)=44,(1,6)=45,(2,7)=53,(0,5)=58,(2,3)=71,(4,7)=73,(5,7)=81,(4,5)=88,(1,2)=92,(2,5)=96,(5,6)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(3)=1, Add (0,3)=4 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 6, 7: 7}, Find(0)=1, Find(2)=2, Add (0,2)=6 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(6)=6, Add (0,6)=6 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=26\",\"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)=19 Failed, w=26\",\"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)=23 Failed, w=26\",\"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)=30 Failed, w=26\",\"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)=32 Failed, w=26\",\"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)=34 Failed, w=26\",\"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)=35 Failed, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=26\",\"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)=39 Failed, w=26\",\"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)=44 Failed, w=26\",\"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)=45 Failed, w=26\",\"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)=53 Failed, w=26\",\"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)=58 Failed, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=26\",\"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)=73 Failed, w=26\",\"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)=81 Failed, w=26\",\"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)=88 Failed, w=26\",\"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)=92 Failed, w=26\",\"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)=96 Failed, w=26\",\"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)=99 Failed, w=26\"],\"Answer\":26}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,53],[0,3,91],[0,4,22],[1,2,54],[1,3,35],[1,4,59],[1,5,18],[2,4,25],[2,5,88],[3,4,6],[3,5,60],[4,5,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,91],[0,4,22],[1,2,54],[1,3,35],[1,4,59],[1,5,18],[2,4,25],[2,5,88],[3,4,6],[3,5,60],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,91],[0,4,22],[1,2,54],[1,3,35],[1,4,59],[1,5,18],[2,4,25],[2,5,88],[3,4,6],[3,5,60],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,91],[0,4,22],[1,2,54],[1,3,35],[1,4,59],[1,5,18],[2,4,25],[2,5,88],[3,4,6],[3,5,60],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (1,5)=18, w=24\",\"Add (0,4)=22, w=46\",\"Add (2,4)=25, w=71\",\"Add (1,3)=35, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,91],[0,4,22],[1,2,54],[1,3,35],[1,4,59],[1,5,18],[2,4,25],[2,5,88],[3,4,6],[3,5,60],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (1,5)=18 Succeeded, w=24\",\"Add (0,4)=22 Succeeded, w=46\",\"Add (2,4)=25 Succeeded, w=71\",\"Add (1,3)=35 Succeeded, w=106\",\"Add (0,1)=53 Failed, w=106\",\"Add (1,2)=54 Failed, w=106\",\"Add (1,4)=59 Failed, w=106\",\"Add (3,5)=60 Failed, w=106\",\"Add (4,5)=75 Failed, w=106\",\"Add (2,5)=88 Failed, w=106\",\"Add (0,3)=91 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,91],[0,4,22],[1,2,54],[1,3,35],[1,4,59],[1,5,18],[2,4,25],[2,5,88],[3,4,6],[3,5,60],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(1,5)=18,(0,4)=22,(2,4)=25,(1,3)=35,(0,1)=53,(1,2)=54,(1,4)=59,(3,5)=60,(4,5)=75,(2,5)=88,(0,3)=91]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=24\",\"Find(0)=0, Find(4)=3, Add (0,4)=22 Succeeded, w=46\",\"Find(2)=2, Find(4)=3, Add (2,4)=25 Succeeded, w=71\",\"Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=106\",\"Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=106\",\"Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=106\",\"Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=106\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=106\",\"Find(4)=1, Find(5)=1, Add (4,5)=75 Failed, w=106\",\"Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=106\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,91],[0,4,22],[1,2,54],[1,3,35],[1,4,59],[1,5,18],[2,4,25],[2,5,88],[3,4,6],[3,5,60],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(1,5)=18,(0,4)=22,(2,4)=25,(1,3)=35,(0,1)=53,(1,2)=54,(1,4)=59,(3,5)=60,(4,5)=75,(2,5)=88,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=24\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(4)=3, Add (0,4)=22 Succeeded, w=46\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1}, Find(2)=2, Find(4)=3, Add (2,4)=25 Succeeded, w=71\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=75 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,5],[0,2,93],[0,3,17],[1,2,73],[1,3,23]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,93],[0,3,17],[1,2,73],[1,3,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,93],[0,3,17],[1,2,73],[1,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,93],[0,3,17],[1,2,73],[1,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (0,3)=17, w=22\",\"Add (1,2)=73, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,93],[0,3,17],[1,2,73],[1,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (0,3)=17 Succeeded, w=22\",\"Add (1,3)=23 Failed, w=22\",\"Add (1,2)=73 Succeeded, w=95\",\"Add (0,2)=93 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,93],[0,3,17],[1,2,73],[1,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,3)=17,(1,3)=23,(1,2)=73,(0,2)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=22\",\"Find(1)=0, Find(3)=0, Add (1,3)=23 Failed, w=22\",\"Find(1)=0, Find(2)=2, Add (1,2)=73 Succeeded, w=95\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,93],[0,3,17],[1,2,73],[1,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,3)=17,(1,3)=23,(1,2)=73,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=23 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=73 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,10],[0,3,82],[0,4,48],[0,5,48],[1,2,6],[1,4,58],[1,5,10],[2,3,71],[2,4,65],[2,5,34],[3,4,59],[3,5,8],[4,5,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,82],[0,4,48],[0,5,48],[1,2,6],[1,4,58],[1,5,10],[2,3,71],[2,4,65],[2,5,34],[3,4,59],[3,5,8],[4,5,95]]}",
"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],\"edges\":[[0,2,10],[0,3,82],[0,4,48],[0,5,48],[1,2,6],[1,4,58],[1,5,10],[2,3,71],[2,4,65],[2,5,34],[3,4,59],[3,5,8],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,82],[0,4,48],[0,5,48],[1,2,6],[1,4,58],[1,5,10],[2,3,71],[2,4,65],[2,5,34],[3,4,59],[3,5,8],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (3,5)=8, w=14\",\"Add (0,2)=10, w=24\",\"Add (1,5)=10, w=34\",\"Add (0,4)=48, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,82],[0,4,48],[0,5,48],[1,2,6],[1,4,58],[1,5,10],[2,3,71],[2,4,65],[2,5,34],[3,4,59],[3,5,8],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (3,5)=8 Succeeded, w=14\",\"Add (0,2)=10 Succeeded, w=24\",\"Add (1,5)=10 Succeeded, w=34\",\"Add (2,5)=34 Failed, w=34\",\"Add (0,4)=48 Succeeded, w=82\",\"Add (0,5)=48 Failed, w=82\",\"Add (1,4)=58 Failed, w=82\",\"Add (3,4)=59 Failed, w=82\",\"Add (2,4)=65 Failed, w=82\",\"Add (2,3)=71 Failed, w=82\",\"Add (0,3)=82 Failed, w=82\",\"Add (4,5)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,82],[0,4,48],[0,5,48],[1,2,6],[1,4,58],[1,5,10],[2,3,71],[2,4,65],[2,5,34],[3,4,59],[3,5,8],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(3,5)=8,(0,2)=10,(1,5)=10,(2,5)=34,(0,4)=48,(0,5)=48,(1,4)=58,(3,4)=59,(2,4)=65,(2,3)=71,(0,3)=82,(4,5)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=14\",\"Find(0)=0, Find(2)=1, Add (0,2)=10 Succeeded, w=24\",\"Find(1)=1, Find(5)=3, Add (1,5)=10 Succeeded, w=34\",\"Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=34\",\"Find(0)=1, Find(4)=4, Add (0,4)=48 Succeeded, w=82\",\"Find(0)=1, Find(5)=1, Add (0,5)=48 Failed, w=82\",\"Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=82\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=82\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=82\",\"Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=82\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=82\",\"Find(4)=1, Find(5)=1, Add (4,5)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,3,82],[0,4,48],[0,5,48],[1,2,6],[1,4,58],[1,5,10],[2,3,71],[2,4,65],[2,5,34],[3,4,59],[3,5,8],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(3,5)=8,(0,2)=10,(1,5)=10,(2,5)=34,(0,4)=48,(0,5)=48,(1,4)=58,(3,4)=59,(2,4)=65,(2,3)=71,(0,3)=82,(4,5)=95]\",\"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: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(2)=1, Add (0,2)=10 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=10 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=4, Add (0,4)=48 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=48 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,23],[1,2,67],[1,3,98],[2,3,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[1,2,67],[1,3,98],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[1,2,67],[1,3,98],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[1,2,67],[1,3,98],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (0,2)=23, w=38\",\"Add (1,2)=67, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[1,2,67],[1,3,98],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (0,2)=23 Succeeded, w=38\",\"Add (1,2)=67 Succeeded, w=105\",\"Add (0,1)=84 Failed, w=105\",\"Add (1,3)=98 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[1,2,67],[1,3,98],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,2)=23,(1,2)=67,(0,1)=84,(1,3)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=38\",\"Find(1)=1, Find(2)=2, Add (1,2)=67 Succeeded, w=105\",\"Find(0)=2, Find(1)=2, Add (0,1)=84 Failed, w=105\",\"Find(1)=2, Find(3)=2, Add (1,3)=98 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[1,2,67],[1,3,98],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,2)=23,(1,2)=67,(0,1)=84,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=67 Succeeded, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=84 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=98 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,94],[0,3,68],[0,4,43],[2,5,91],[3,4,43]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,68],[0,4,43],[2,5,91],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,68],[0,4,43],[2,5,91],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,68],[0,4,43],[2,5,91],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=43, w=43\",\"Add (3,4)=43, w=86\",\"Add (2,5)=91, w=177\",\"Add (0,1)=94, w=271\"],\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,68],[0,4,43],[2,5,91],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=43 Succeeded, w=43\",\"Add (3,4)=43 Succeeded, w=86\",\"Add (0,3)=68 Failed, w=86\",\"Add (2,5)=91 Succeeded, w=177\",\"Add (0,1)=94 Succeeded, w=271\"],\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,68],[0,4,43],[2,5,91],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=43,(3,4)=43,(0,3)=68,(2,5)=91,(0,1)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=43 Succeeded, w=43\",\"Find(3)=3, Find(4)=0, Add (3,4)=43 Succeeded, w=86\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=86\",\"Find(2)=2, Find(5)=5, Add (2,5)=91 Succeeded, w=177\",\"Find(0)=0, Find(1)=1, Add (0,1)=94 Succeeded, w=271\"],\"Answer\":271}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,68],[0,4,43],[2,5,91],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=43,(3,4)=43,(0,3)=68,(2,5)=91,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=43 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=3, Find(4)=0, Add (3,4)=43 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=86\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=91 Succeeded, w=177\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=94 Succeeded, w=271\"],\"Answer\":271}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,80],[0,3,50],[3,4,49]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,80],[0,3,50],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,80],[0,3,50],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,80],[0,3,50],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18, w=18\",\"Add (3,4)=49, w=67\",\"Add (0,3)=50, w=117\",\"Add (0,2)=80, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,80],[0,3,50],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18 Succeeded, w=18\",\"Add (3,4)=49 Succeeded, w=67\",\"Add (0,3)=50 Succeeded, w=117\",\"Add (0,2)=80 Succeeded, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,80],[0,3,50],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(3,4)=49,(0,3)=50,(0,2)=80]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(3)=3, Find(4)=4, Add (3,4)=49 Succeeded, w=67\",\"Find(0)=0, Find(3)=3, Add (0,3)=50 Succeeded, w=117\",\"Find(0)=0, Find(2)=2, Add (0,2)=80 Succeeded, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,80],[0,3,50],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(3,4)=49,(0,3)=50,(0,2)=80]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=49 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=50 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=80 Succeeded, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,19],[0,3,73],[1,2,32],[2,3,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,19],[0,3,73],[1,2,32],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,19],[0,3,73],[1,2,32],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,19],[0,3,73],[1,2,32],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (1,2)=32, w=51\",\"Add (2,3)=63, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,19],[0,3,73],[1,2,32],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (1,2)=32 Succeeded, w=51\",\"Add (2,3)=63 Succeeded, w=114\",\"Add (0,3)=73 Failed, w=114\",\"Add (0,1)=84 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,19],[0,3,73],[1,2,32],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,2)=32,(2,3)=63,(0,3)=73,(0,1)=84]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=51\",\"Find(2)=0, Find(3)=3, Add (2,3)=63 Succeeded, w=114\",\"Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=114\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,19],[0,3,73],[1,2,32],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,2)=32,(2,3)=63,(0,3)=73,(0,1)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=63 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,88],[0,4,67],[1,4,75],[1,5,92],[2,4,69],[3,4,90],[4,5,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,4,67],[1,4,75],[1,5,92],[2,4,69],[3,4,90],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":389}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,4,67],[1,4,75],[1,5,92],[2,4,69],[3,4,90],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (3,4)\"],\"Answer\":389}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,4,67],[1,4,75],[1,5,92],[2,4,69],[3,4,90],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=67, w=67\",\"Add (2,4)=69, w=136\",\"Add (1,4)=75, w=211\",\"Add (4,5)=88, w=299\",\"Add (3,4)=90, w=389\"],\"Answer\":389}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,4,67],[1,4,75],[1,5,92],[2,4,69],[3,4,90],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=67 Succeeded, w=67\",\"Add (2,4)=69 Succeeded, w=136\",\"Add (1,4)=75 Succeeded, w=211\",\"Add (0,2)=88 Failed, w=211\",\"Add (4,5)=88 Succeeded, w=299\",\"Add (3,4)=90 Succeeded, w=389\",\"Add (1,5)=92 Failed, w=389\"],\"Answer\":389}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,4,67],[1,4,75],[1,5,92],[2,4,69],[3,4,90],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=67,(2,4)=69,(1,4)=75,(0,2)=88,(4,5)=88,(3,4)=90,(1,5)=92]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=67 Succeeded, w=67\",\"Find(2)=2, Find(4)=0, Add (2,4)=69 Succeeded, w=136\",\"Find(1)=1, Find(4)=0, Add (1,4)=75 Succeeded, w=211\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=211\",\"Find(4)=0, Find(5)=5, Add (4,5)=88 Succeeded, w=299\",\"Find(3)=3, Find(4)=0, Add (3,4)=90 Succeeded, w=389\",\"Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=389\"],\"Answer\":389}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,88],[0,4,67],[1,4,75],[1,5,92],[2,4,69],[3,4,90],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=67,(2,4)=69,(1,4)=75,(0,2)=88,(4,5)=88,(3,4)=90,(1,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=67 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=69 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=75 Succeeded, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=88 Succeeded, w=299\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=90 Succeeded, w=389\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=389\"],\"Answer\":389}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,4,48],[0,5,66],[1,2,79],[1,4,46],[1,5,11],[2,3,9],[2,4,15],[2,5,85],[3,4,3],[3,5,28]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,48],[0,5,66],[1,2,79],[1,4,46],[1,5,11],[2,3,9],[2,4,15],[2,5,85],[3,4,3],[3,5,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,48],[0,5,66],[1,2,79],[1,4,46],[1,5,11],[2,3,9],[2,4,15],[2,5,85],[3,4,3],[3,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,48],[0,5,66],[1,2,79],[1,4,46],[1,5,11],[2,3,9],[2,4,15],[2,5,85],[3,4,3],[3,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (2,3)=9, w=12\",\"Add (1,5)=11, w=23\",\"Add (3,5)=28, w=51\",\"Add (0,4)=48, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,48],[0,5,66],[1,2,79],[1,4,46],[1,5,11],[2,3,9],[2,4,15],[2,5,85],[3,4,3],[3,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (2,3)=9 Succeeded, w=12\",\"Add (1,5)=11 Succeeded, w=23\",\"Add (2,4)=15 Failed, w=23\",\"Add (3,5)=28 Succeeded, w=51\",\"Add (1,4)=46 Failed, w=51\",\"Add (0,4)=48 Succeeded, w=99\",\"Add (0,1)=58 Failed, w=99\",\"Add (0,5)=66 Failed, w=99\",\"Add (1,2)=79 Failed, w=99\",\"Add (2,5)=85 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,48],[0,5,66],[1,2,79],[1,4,46],[1,5,11],[2,3,9],[2,4,15],[2,5,85],[3,4,3],[3,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,3)=9,(1,5)=11,(2,4)=15,(3,5)=28,(1,4)=46,(0,4)=48,(0,1)=58,(0,5)=66,(1,2)=79,(2,5)=85]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=12\",\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=23\",\"Find(2)=3, Find(4)=3, Add (2,4)=15 Failed, w=23\",\"Find(3)=3, Find(5)=1, Add (3,5)=28 Succeeded, w=51\",\"Find(1)=3, Find(4)=3, Add (1,4)=46 Failed, w=51\",\"Find(0)=0, Find(4)=3, Add (0,4)=48 Succeeded, w=99\",\"Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=99\",\"Find(0)=3, Find(5)=3, Add (0,5)=66 Failed, w=99\",\"Find(1)=3, Find(2)=3, Add (1,2)=79 Failed, w=99\",\"Find(2)=3, Find(5)=3, Add (2,5)=85 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,48],[0,5,66],[1,2,79],[1,4,46],[1,5,11],[2,3,9],[2,4,15],[2,5,85],[3,4,3],[3,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,3)=9,(1,5)=11,(2,4)=15,(3,5)=28,(1,4)=46,(0,4)=48,(0,1)=58,(0,5)=66,(1,2)=79,(2,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1}, Find(2)=3, Find(4)=3, Add (2,4)=15 Failed, w=23\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=28 Succeeded, w=51\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(1)=3, Find(4)=3, Add (1,4)=46 Failed, w=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(4)=3, Add (0,4)=48 Succeeded, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=66 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=79 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=85 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,80],[1,2,97]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=80, w=80\",\"Add (1,2)=97, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=80 Succeeded, w=80\",\"Add (1,2)=97 Succeeded, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=80,(1,2)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=80 Succeeded, w=80\",\"Find(1)=1, Find(2)=2, Add (1,2)=97 Succeeded, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=80,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=80 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=97 Succeeded, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,2,14],[0,3,55],[0,6,67],[0,7,36],[1,4,71],[1,5,74],[1,6,47],[1,7,67],[2,3,18],[2,4,90],[2,5,80],[2,6,52],[2,7,70],[3,4,3],[3,5,3],[3,7,36],[4,6,38],[4,7,5],[5,6,49],[5,7,49],[6,7,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,14],[0,3,55],[0,6,67],[0,7,36],[1,4,71],[1,5,74],[1,6,47],[1,7,67],[2,3,18],[2,4,90],[2,5,80],[2,6,52],[2,7,70],[3,4,3],[3,5,3],[3,7,36],[4,6,38],[4,7,5],[5,6,49],[5,7,49],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,14],[0,3,55],[0,6,67],[0,7,36],[1,4,71],[1,5,74],[1,6,47],[1,7,67],[2,3,18],[2,4,90],[2,5,80],[2,6,52],[2,7,70],[3,4,3],[3,5,3],[3,7,36],[4,6,38],[4,7,5],[5,6,49],[5,7,49],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (4,6)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,14],[0,3,55],[0,6,67],[0,7,36],[1,4,71],[1,5,74],[1,6,47],[1,7,67],[2,3,18],[2,4,90],[2,5,80],[2,6,52],[2,7,70],[3,4,3],[3,5,3],[3,7,36],[4,6,38],[4,7,5],[5,6,49],[5,7,49],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (3,5)=3, w=6\",\"Add (4,7)=5, w=11\",\"Add (0,2)=14, w=25\",\"Add (2,3)=18, w=43\",\"Add (0,1)=26, w=69\",\"Add (4,6)=38, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,14],[0,3,55],[0,6,67],[0,7,36],[1,4,71],[1,5,74],[1,6,47],[1,7,67],[2,3,18],[2,4,90],[2,5,80],[2,6,52],[2,7,70],[3,4,3],[3,5,3],[3,7,36],[4,6,38],[4,7,5],[5,6,49],[5,7,49],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (3,5)=3 Succeeded, w=6\",\"Add (4,7)=5 Succeeded, w=11\",\"Add (0,2)=14 Succeeded, w=25\",\"Add (2,3)=18 Succeeded, w=43\",\"Add (0,1)=26 Succeeded, w=69\",\"Add (0,7)=36 Failed, w=69\",\"Add (3,7)=36 Failed, w=69\",\"Add (4,6)=38 Succeeded, w=107\",\"Add (1,6)=47 Failed, w=107\",\"Add (5,6)=49 Failed, w=107\",\"Add (5,7)=49 Failed, w=107\",\"Add (2,6)=52 Failed, w=107\",\"Add (0,3)=55 Failed, w=107\",\"Add (0,6)=67 Failed, w=107\",\"Add (1,7)=67 Failed, w=107\",\"Add (6,7)=69 Failed, w=107\",\"Add (2,7)=70 Failed, w=107\",\"Add (1,4)=71 Failed, w=107\",\"Add (1,5)=74 Failed, w=107\",\"Add (2,5)=80 Failed, w=107\",\"Add (2,4)=90 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,14],[0,3,55],[0,6,67],[0,7,36],[1,4,71],[1,5,74],[1,6,47],[1,7,67],[2,3,18],[2,4,90],[2,5,80],[2,6,52],[2,7,70],[3,4,3],[3,5,3],[3,7,36],[4,6,38],[4,7,5],[5,6,49],[5,7,49],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(3,5)=3,(4,7)=5,(0,2)=14,(2,3)=18,(0,1)=26,(0,7)=36,(3,7)=36,(4,6)=38,(1,6)=47,(5,6)=49,(5,7)=49,(2,6)=52,(0,3)=55,(0,6)=67,(1,7)=67,(6,7)=69,(2,7)=70,(1,4)=71,(1,5)=74,(2,5)=80,(2,4)=90]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=6\",\"Find(4)=3, Find(7)=7, Add (4,7)=5 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=25\",\"Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=69\",\"Find(0)=0, Find(7)=0, Add (0,7)=36 Failed, w=69\",\"Find(3)=0, Find(7)=0, Add (3,7)=36 Failed, w=69\",\"Find(4)=0, Find(6)=6, Add (4,6)=38 Succeeded, w=107\",\"Find(1)=0, Find(6)=0, Add (1,6)=47 Failed, w=107\",\"Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=107\",\"Find(5)=0, Find(7)=0, Add (5,7)=49 Failed, w=107\",\"Find(2)=0, Find(6)=0, Add (2,6)=52 Failed, w=107\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=107\",\"Find(0)=0, Find(6)=0, Add (0,6)=67 Failed, w=107\",\"Find(1)=0, Find(7)=0, Add (1,7)=67 Failed, w=107\",\"Find(6)=0, Find(7)=0, Add (6,7)=69 Failed, w=107\",\"Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=107\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=107\",\"Find(1)=0, Find(5)=0, Add (1,5)=74 Failed, w=107\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=107\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,14],[0,3,55],[0,6,67],[0,7,36],[1,4,71],[1,5,74],[1,6,47],[1,7,67],[2,3,18],[2,4,90],[2,5,80],[2,6,52],[2,7,70],[3,4,3],[3,5,3],[3,7,36],[4,6,38],[4,7,5],[5,6,49],[5,7,49],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(3,5)=3,(4,7)=5,(0,2)=14,(2,3)=18,(0,1)=26,(0,7)=36,(3,7)=36,(4,6)=38,(1,6)=47,(5,6)=49,(5,7)=49,(2,6)=52,(0,3)=55,(0,6)=67,(1,7)=67,(6,7)=69,(2,7)=70,(1,4)=71,(1,5)=74,(2,5)=80,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(4)=3, Find(7)=7, Add (4,7)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=36 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=36 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(4)=0, Find(6)=6, Add (4,6)=38 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=47 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=107\",\"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)=49 Failed, w=107\",\"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)=52 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=107\",\"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)=67 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=67 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=69 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=107\",\"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)=71 Failed, w=107\",\"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)=74 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,21],[0,2,28],[0,3,10],[0,4,94],[0,5,42],[1,2,86],[1,3,100],[1,4,61],[1,5,25],[2,3,15],[2,4,66],[2,5,1],[3,4,7],[3,5,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,28],[0,3,10],[0,4,94],[0,5,42],[1,2,86],[1,3,100],[1,4,61],[1,5,25],[2,3,15],[2,4,66],[2,5,1],[3,4,7],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,28],[0,3,10],[0,4,94],[0,5,42],[1,2,86],[1,3,100],[1,4,61],[1,5,25],[2,3,15],[2,4,66],[2,5,1],[3,4,7],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":54}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,28],[0,3,10],[0,4,94],[0,5,42],[1,2,86],[1,3,100],[1,4,61],[1,5,25],[2,3,15],[2,4,66],[2,5,1],[3,4,7],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (3,4)=7, w=8\",\"Add (0,3)=10, w=18\",\"Add (2,3)=15, w=33\",\"Add (0,1)=21, w=54\"],\"Answer\":54}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,28],[0,3,10],[0,4,94],[0,5,42],[1,2,86],[1,3,100],[1,4,61],[1,5,25],[2,3,15],[2,4,66],[2,5,1],[3,4,7],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (3,4)=7 Succeeded, w=8\",\"Add (0,3)=10 Succeeded, w=18\",\"Add (2,3)=15 Succeeded, w=33\",\"Add (0,1)=21 Succeeded, w=54\",\"Add (1,5)=25 Failed, w=54\",\"Add (0,2)=28 Failed, w=54\",\"Add (0,5)=42 Failed, w=54\",\"Add (1,4)=61 Failed, w=54\",\"Add (2,4)=66 Failed, w=54\",\"Add (3,5)=83 Failed, w=54\",\"Add (1,2)=86 Failed, w=54\",\"Add (0,4)=94 Failed, w=54\",\"Add (1,3)=100 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,28],[0,3,10],[0,4,94],[0,5,42],[1,2,86],[1,3,100],[1,4,61],[1,5,25],[2,3,15],[2,4,66],[2,5,1],[3,4,7],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(3,4)=7,(0,3)=10,(2,3)=15,(0,1)=21,(1,5)=25,(0,2)=28,(0,5)=42,(1,4)=61,(2,4)=66,(3,5)=83,(1,2)=86,(0,4)=94,(1,3)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=18\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=33\",\"Find(0)=2, Find(1)=1, Add (0,1)=21 Succeeded, w=54\",\"Find(1)=2, Find(5)=2, Add (1,5)=25 Failed, w=54\",\"Find(0)=2, Find(2)=2, Add (0,2)=28 Failed, w=54\",\"Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=54\",\"Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=54\",\"Find(2)=2, Find(4)=2, Add (2,4)=66 Failed, w=54\",\"Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=54\",\"Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=54\",\"Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=54\",\"Find(1)=2, Find(3)=2, Add (1,3)=100 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,28],[0,3,10],[0,4,94],[0,5,42],[1,2,86],[1,3,100],[1,4,61],[1,5,25],[2,3,15],[2,4,66],[2,5,1],[3,4,7],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(3,4)=7,(0,3)=10,(2,3)=15,(0,1)=21,(1,5)=25,(0,2)=28,(0,5)=42,(1,4)=61,(2,4)=66,(3,5)=83,(1,2)=86,(0,4)=94,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=18\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=21 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=25 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=28 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=66 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=100 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,64],[0,3,37],[0,4,77],[0,5,9],[1,2,48],[1,4,98],[1,5,79],[2,4,53],[3,4,91],[3,5,57],[4,5,67]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,37],[0,4,77],[0,5,9],[1,2,48],[1,4,98],[1,5,79],[2,4,53],[3,4,91],[3,5,57],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,37],[0,4,77],[0,5,9],[1,2,48],[1,4,98],[1,5,79],[2,4,53],[3,4,91],[3,5,57],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,37],[0,4,77],[0,5,9],[1,2,48],[1,4,98],[1,5,79],[2,4,53],[3,4,91],[3,5,57],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=9, w=9\",\"Add (0,3)=37, w=46\",\"Add (1,2)=48, w=94\",\"Add (2,4)=53, w=147\",\"Add (0,2)=64, w=211\"],\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,37],[0,4,77],[0,5,9],[1,2,48],[1,4,98],[1,5,79],[2,4,53],[3,4,91],[3,5,57],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=9 Succeeded, w=9\",\"Add (0,3)=37 Succeeded, w=46\",\"Add (1,2)=48 Succeeded, w=94\",\"Add (2,4)=53 Succeeded, w=147\",\"Add (3,5)=57 Failed, w=147\",\"Add (0,2)=64 Succeeded, w=211\",\"Add (4,5)=67 Failed, w=211\",\"Add (0,4)=77 Failed, w=211\",\"Add (1,5)=79 Failed, w=211\",\"Add (3,4)=91 Failed, w=211\",\"Add (1,4)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,37],[0,4,77],[0,5,9],[1,2,48],[1,4,98],[1,5,79],[2,4,53],[3,4,91],[3,5,57],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=9,(0,3)=37,(1,2)=48,(2,4)=53,(3,5)=57,(0,2)=64,(4,5)=67,(0,4)=77,(1,5)=79,(3,4)=91,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=46\",\"Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=94\",\"Find(2)=1, Find(4)=4, Add (2,4)=53 Succeeded, w=147\",\"Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=147\",\"Find(0)=0, Find(2)=1, Add (0,2)=64 Succeeded, w=211\",\"Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=211\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=211\",\"Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=211\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=211\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,37],[0,4,77],[0,5,9],[1,2,48],[1,4,98],[1,5,79],[2,4,53],[3,4,91],[3,5,57],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=9,(0,3)=37,(1,2)=48,(2,4)=53,(3,5)=57,(0,2)=64,(4,5)=67,(0,4)=77,(1,5)=79,(3,4)=91,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=94\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0}, Find(2)=1, Find(4)=4, Add (2,4)=53 Succeeded, w=147\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(2)=1, Add (0,2)=64 Succeeded, w=211\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,20],[0,3,86],[0,4,27],[1,2,37],[1,3,15],[1,4,53],[2,4,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,3,86],[0,4,27],[1,2,37],[1,3,15],[1,4,53],[2,4,69]]}",
"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\":[[0,1,20],[0,3,86],[0,4,27],[1,2,37],[1,3,15],[1,4,53],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,3,86],[0,4,27],[1,2,37],[1,3,15],[1,4,53],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15, w=15\",\"Add (0,1)=20, w=35\",\"Add (0,4)=27, w=62\",\"Add (1,2)=37, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,3,86],[0,4,27],[1,2,37],[1,3,15],[1,4,53],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15 Succeeded, w=15\",\"Add (0,1)=20 Succeeded, w=35\",\"Add (0,4)=27 Succeeded, w=62\",\"Add (1,2)=37 Succeeded, w=99\",\"Add (1,4)=53 Failed, w=99\",\"Add (2,4)=69 Failed, w=99\",\"Add (0,3)=86 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\":[[0,1,20],[0,3,86],[0,4,27],[1,2,37],[1,3,15],[1,4,53],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(0,1)=20,(0,4)=27,(1,2)=37,(1,4)=53,(2,4)=69,(0,3)=86]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=35\",\"Find(0)=1, Find(4)=4, Add (0,4)=27 Succeeded, w=62\",\"Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=99\",\"Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=99\",\"Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=86 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\":[[0,1,20],[0,3,86],[0,4,27],[1,2,37],[1,3,15],[1,4,53],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(0,1)=20,(0,4)=27,(1,2)=37,(1,4)=53,(2,4)=69,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=27 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=86 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,13],[0,3,83],[0,5,72],[0,6,86],[0,7,99],[1,2,73],[1,3,45],[1,4,32],[1,5,30],[1,6,29],[1,7,78],[2,3,43],[2,4,58],[2,5,83],[2,7,5],[3,5,3],[3,7,84],[4,6,93],[4,7,57],[5,7,29],[6,7,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,3,83],[0,5,72],[0,6,86],[0,7,99],[1,2,73],[1,3,45],[1,4,32],[1,5,30],[1,6,29],[1,7,78],[2,3,43],[2,4,58],[2,5,83],[2,7,5],[3,5,3],[3,7,84],[4,6,93],[4,7,57],[5,7,29],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,3,83],[0,5,72],[0,6,86],[0,7,99],[1,2,73],[1,3,45],[1,4,32],[1,5,30],[1,6,29],[1,7,78],[2,3,43],[2,4,58],[2,5,83],[2,7,5],[3,5,3],[3,7,84],[4,6,93],[4,7,57],[5,7,29],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,7)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (5,7)\",\"Add (1,5)\",\"Add (1,4)\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,3,83],[0,5,72],[0,6,86],[0,7,99],[1,2,73],[1,3,45],[1,4,32],[1,5,30],[1,6,29],[1,7,78],[2,3,43],[2,4,58],[2,5,83],[2,7,5],[3,5,3],[3,7,84],[4,6,93],[4,7,57],[5,7,29],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (2,7)=5, w=8\",\"Add (0,2)=13, w=21\",\"Add (1,6)=29, w=50\",\"Add (5,7)=29, w=79\",\"Add (1,5)=30, w=109\",\"Add (1,4)=32, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,3,83],[0,5,72],[0,6,86],[0,7,99],[1,2,73],[1,3,45],[1,4,32],[1,5,30],[1,6,29],[1,7,78],[2,3,43],[2,4,58],[2,5,83],[2,7,5],[3,5,3],[3,7,84],[4,6,93],[4,7,57],[5,7,29],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (2,7)=5 Succeeded, w=8\",\"Add (0,2)=13 Succeeded, w=21\",\"Add (1,6)=29 Succeeded, w=50\",\"Add (5,7)=29 Succeeded, w=79\",\"Add (1,5)=30 Succeeded, w=109\",\"Add (1,4)=32 Succeeded, w=141\",\"Add (2,3)=43 Failed, w=141\",\"Add (1,3)=45 Failed, w=141\",\"Add (4,7)=57 Failed, w=141\",\"Add (2,4)=58 Failed, w=141\",\"Add (0,5)=72 Failed, w=141\",\"Add (1,2)=73 Failed, w=141\",\"Add (1,7)=78 Failed, w=141\",\"Add (0,3)=83 Failed, w=141\",\"Add (2,5)=83 Failed, w=141\",\"Add (3,7)=84 Failed, w=141\",\"Add (0,6)=86 Failed, w=141\",\"Add (6,7)=89 Failed, w=141\",\"Add (4,6)=93 Failed, w=141\",\"Add (0,7)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,3,83],[0,5,72],[0,6,86],[0,7,99],[1,2,73],[1,3,45],[1,4,32],[1,5,30],[1,6,29],[1,7,78],[2,3,43],[2,4,58],[2,5,83],[2,7,5],[3,5,3],[3,7,84],[4,6,93],[4,7,57],[5,7,29],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(2,7)=5,(0,2)=13,(1,6)=29,(5,7)=29,(1,5)=30,(1,4)=32,(2,3)=43,(1,3)=45,(4,7)=57,(2,4)=58,(0,5)=72,(1,2)=73,(1,7)=78,(0,3)=83,(2,5)=83,(3,7)=84,(0,6)=86,(6,7)=89,(4,6)=93,(0,7)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(7)=7, Add (2,7)=5 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Find(1)=1, Find(6)=6, Add (1,6)=29 Succeeded, w=50\",\"Find(5)=3, Find(7)=2, Add (5,7)=29 Succeeded, w=79\",\"Find(1)=1, Find(5)=3, Add (1,5)=30 Succeeded, w=109\",\"Find(1)=3, Find(4)=4, Add (1,4)=32 Succeeded, w=141\",\"Find(2)=3, Find(3)=3, Add (2,3)=43 Failed, w=141\",\"Find(1)=3, Find(3)=3, Add (1,3)=45 Failed, w=141\",\"Find(4)=3, Find(7)=3, Add (4,7)=57 Failed, w=141\",\"Find(2)=3, Find(4)=3, Add (2,4)=58 Failed, w=141\",\"Find(0)=3, Find(5)=3, Add (0,5)=72 Failed, w=141\",\"Find(1)=3, Find(2)=3, Add (1,2)=73 Failed, w=141\",\"Find(1)=3, Find(7)=3, Add (1,7)=78 Failed, w=141\",\"Find(0)=3, Find(3)=3, Add (0,3)=83 Failed, w=141\",\"Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=141\",\"Find(3)=3, Find(7)=3, Add (3,7)=84 Failed, w=141\",\"Find(0)=3, Find(6)=3, Add (0,6)=86 Failed, w=141\",\"Find(6)=3, Find(7)=3, Add (6,7)=89 Failed, w=141\",\"Find(4)=3, Find(6)=3, Add (4,6)=93 Failed, w=141\",\"Find(0)=3, Find(7)=3, Add (0,7)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,3,83],[0,5,72],[0,6,86],[0,7,99],[1,2,73],[1,3,45],[1,4,32],[1,5,30],[1,6,29],[1,7,78],[2,3,43],[2,4,58],[2,5,83],[2,7,5],[3,5,3],[3,7,84],[4,6,93],[4,7,57],[5,7,29],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(2,7)=5,(0,2)=13,(1,6)=29,(5,7)=29,(1,5)=30,(1,4)=32,(2,3)=43,(1,3)=45,(4,7)=57,(2,4)=58,(0,5)=72,(1,2)=73,(1,7)=78,(0,3)=83,(2,5)=83,(3,7)=84,(0,6)=86,(6,7)=89,(4,6)=93,(0,7)=99]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=5 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 2}, Find(1)=1, Find(6)=6, Add (1,6)=29 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 1, 7: 2}, Find(5)=3, Find(7)=2, Add (5,7)=29 Succeeded, w=79\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 1, 7: 2}, Find(1)=1, Find(5)=3, Add (1,5)=30 Succeeded, w=109\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 2}, Find(1)=3, Find(4)=4, Add (1,4)=32 Succeeded, w=141\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 2}, Find(2)=3, Find(3)=3, Add (2,3)=43 Failed, w=141\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 2}, Find(1)=3, Find(3)=3, Add (1,3)=45 Failed, w=141\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=57 Failed, w=141\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=58 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=72 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=73 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=78 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=83 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=84 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=86 Failed, w=141\",\"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)=89 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=93 Failed, w=141\",\"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)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,72],[0,2,9],[0,3,61],[0,4,63],[0,5,89],[0,6,27],[1,2,29],[1,3,42],[1,4,98],[1,6,64],[2,3,43],[2,4,3],[2,5,75],[2,6,35],[3,4,45],[3,5,65],[4,5,45],[4,6,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,9],[0,3,61],[0,4,63],[0,5,89],[0,6,27],[1,2,29],[1,3,42],[1,4,98],[1,6,64],[2,3,43],[2,4,3],[2,5,75],[2,6,35],[3,4,45],[3,5,65],[4,5,45],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,9],[0,3,61],[0,4,63],[0,5,89],[0,6,27],[1,2,29],[1,3,42],[1,4,98],[1,6,64],[2,3,43],[2,4,3],[2,5,75],[2,6,35],[3,4,45],[3,5,65],[4,5,45],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,9],[0,3,61],[0,4,63],[0,5,89],[0,6,27],[1,2,29],[1,3,42],[1,4,98],[1,6,64],[2,3,43],[2,4,3],[2,5,75],[2,6,35],[3,4,45],[3,5,65],[4,5,45],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (0,2)=9, w=12\",\"Add (0,6)=27, w=39\",\"Add (1,2)=29, w=68\",\"Add (1,3)=42, w=110\",\"Add (4,5)=45, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,9],[0,3,61],[0,4,63],[0,5,89],[0,6,27],[1,2,29],[1,3,42],[1,4,98],[1,6,64],[2,3,43],[2,4,3],[2,5,75],[2,6,35],[3,4,45],[3,5,65],[4,5,45],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (0,2)=9 Succeeded, w=12\",\"Add (0,6)=27 Succeeded, w=39\",\"Add (1,2)=29 Succeeded, w=68\",\"Add (2,6)=35 Failed, w=68\",\"Add (1,3)=42 Succeeded, w=110\",\"Add (2,3)=43 Failed, w=110\",\"Add (3,4)=45 Failed, w=110\",\"Add (4,5)=45 Succeeded, w=155\",\"Add (0,3)=61 Failed, w=155\",\"Add (0,4)=63 Failed, w=155\",\"Add (1,6)=64 Failed, w=155\",\"Add (3,5)=65 Failed, w=155\",\"Add (0,1)=72 Failed, w=155\",\"Add (2,5)=75 Failed, w=155\",\"Add (0,5)=89 Failed, w=155\",\"Add (4,6)=95 Failed, w=155\",\"Add (1,4)=98 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,9],[0,3,61],[0,4,63],[0,5,89],[0,6,27],[1,2,29],[1,3,42],[1,4,98],[1,6,64],[2,3,43],[2,4,3],[2,5,75],[2,6,35],[3,4,45],[3,5,65],[4,5,45],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,2)=9,(0,6)=27,(1,2)=29,(2,6)=35,(1,3)=42,(2,3)=43,(3,4)=45,(4,5)=45,(0,3)=61,(0,4)=63,(1,6)=64,(3,5)=65,(0,1)=72,(2,5)=75,(0,5)=89,(4,6)=95,(1,4)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=12\",\"Find(0)=2, Find(6)=6, Add (0,6)=27 Succeeded, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=68\",\"Find(2)=2, Find(6)=2, Add (2,6)=35 Failed, w=68\",\"Find(1)=2, Find(3)=3, Add (1,3)=42 Succeeded, w=110\",\"Find(2)=2, Find(3)=2, Add (2,3)=43 Failed, w=110\",\"Find(3)=2, Find(4)=2, Add (3,4)=45 Failed, w=110\",\"Find(4)=2, Find(5)=5, Add (4,5)=45 Succeeded, w=155\",\"Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=155\",\"Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=155\",\"Find(1)=2, Find(6)=2, Add (1,6)=64 Failed, w=155\",\"Find(3)=2, Find(5)=2, Add (3,5)=65 Failed, w=155\",\"Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=155\",\"Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=155\",\"Find(0)=2, Find(5)=2, Add (0,5)=89 Failed, w=155\",\"Find(4)=2, Find(6)=2, Add (4,6)=95 Failed, w=155\",\"Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,9],[0,3,61],[0,4,63],[0,5,89],[0,6,27],[1,2,29],[1,3,42],[1,4,98],[1,6,64],[2,3,43],[2,4,3],[2,5,75],[2,6,35],[3,4,45],[3,5,65],[4,5,45],[4,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,2)=9,(0,6)=27,(1,2)=29,(2,6)=35,(1,3)=42,(2,3)=43,(3,4)=45,(4,5)=45,(0,3)=61,(0,4)=63,(1,6)=64,(3,5)=65,(0,1)=72,(2,5)=75,(0,5)=89,(4,6)=95,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(6)=6, Add (0,6)=27 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=35 Failed, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(3)=3, Add (1,3)=42 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=43 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=45 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=5, Add (4,5)=45 Succeeded, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=64 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=65 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=89 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=95 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,20],[0,2,87],[0,3,8],[2,3,53]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,87],[0,3,8],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,87],[0,3,8],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,87],[0,3,8],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (0,1)=20, w=28\",\"Add (2,3)=53, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,87],[0,3,8],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (0,1)=20 Succeeded, w=28\",\"Add (2,3)=53 Succeeded, w=81\",\"Add (0,2)=87 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,87],[0,3,8],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(0,1)=20,(2,3)=53,(0,2)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=28\",\"Find(2)=2, Find(3)=0, Add (2,3)=53 Succeeded, w=81\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,87],[0,3,8],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(0,1)=20,(2,3)=53,(0,2)=87]\",\"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: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=53 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,27],[0,2,22],[0,3,61],[1,2,83],[1,3,82]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,22],[0,3,61],[1,2,83],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,22],[0,3,61],[1,2,83],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,22],[0,3,61],[1,2,83],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22, w=22\",\"Add (0,1)=27, w=49\",\"Add (0,3)=61, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,22],[0,3,61],[1,2,83],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22 Succeeded, w=22\",\"Add (0,1)=27 Succeeded, w=49\",\"Add (0,3)=61 Succeeded, w=110\",\"Add (1,3)=82 Failed, w=110\",\"Add (1,2)=83 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,22],[0,3,61],[1,2,83],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(0,1)=27,(0,3)=61,(1,3)=82,(1,2)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=49\",\"Find(0)=0, Find(3)=3, Add (0,3)=61 Succeeded, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,22],[0,3,61],[1,2,83],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(0,1)=27,(0,3)=61,(1,3)=82,(1,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=61 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,64],[0,2,68],[0,5,11],[0,7,13],[1,2,27],[1,3,63],[1,5,67],[2,3,76],[2,7,42],[3,5,42],[3,6,46],[4,5,30],[4,6,25],[4,7,4],[5,6,86],[5,7,59],[6,7,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,68],[0,5,11],[0,7,13],[1,2,27],[1,3,63],[1,5,67],[2,3,76],[2,7,42],[3,5,42],[3,6,46],[4,5,30],[4,6,25],[4,7,4],[5,6,86],[5,7,59],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,68],[0,5,11],[0,7,13],[1,2,27],[1,3,63],[1,5,67],[2,3,76],[2,7,42],[3,5,42],[3,6,46],[4,5,30],[4,6,25],[4,7,4],[5,6,86],[5,7,59],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (4,7)\",\"Add (0,5)\",\"Add (0,7)\",\"Add (1,2)\",\"Add (2,7)\",\"Add (3,5)\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,68],[0,5,11],[0,7,13],[1,2,27],[1,3,63],[1,5,67],[2,3,76],[2,7,42],[3,5,42],[3,6,46],[4,5,30],[4,6,25],[4,7,4],[5,6,86],[5,7,59],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3, w=3\",\"Add (4,7)=4, w=7\",\"Add (0,5)=11, w=18\",\"Add (0,7)=13, w=31\",\"Add (1,2)=27, w=58\",\"Add (2,7)=42, w=100\",\"Add (3,5)=42, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,68],[0,5,11],[0,7,13],[1,2,27],[1,3,63],[1,5,67],[2,3,76],[2,7,42],[3,5,42],[3,6,46],[4,5,30],[4,6,25],[4,7,4],[5,6,86],[5,7,59],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3 Succeeded, w=3\",\"Add (4,7)=4 Succeeded, w=7\",\"Add (0,5)=11 Succeeded, w=18\",\"Add (0,7)=13 Succeeded, w=31\",\"Add (4,6)=25 Failed, w=31\",\"Add (1,2)=27 Succeeded, w=58\",\"Add (4,5)=30 Failed, w=58\",\"Add (2,7)=42 Succeeded, w=100\",\"Add (3,5)=42 Succeeded, w=142\",\"Add (3,6)=46 Failed, w=142\",\"Add (5,7)=59 Failed, w=142\",\"Add (1,3)=63 Failed, w=142\",\"Add (0,1)=64 Failed, w=142\",\"Add (1,5)=67 Failed, w=142\",\"Add (0,2)=68 Failed, w=142\",\"Add (2,3)=76 Failed, w=142\",\"Add (5,6)=86 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,68],[0,5,11],[0,7,13],[1,2,27],[1,3,63],[1,5,67],[2,3,76],[2,7,42],[3,5,42],[3,6,46],[4,5,30],[4,6,25],[4,7,4],[5,6,86],[5,7,59],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(4,7)=4,(0,5)=11,(0,7)=13,(4,6)=25,(1,2)=27,(4,5)=30,(2,7)=42,(3,5)=42,(3,6)=46,(5,7)=59,(1,3)=63,(0,1)=64,(1,5)=67,(0,2)=68,(2,3)=76,(5,6)=86]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=3\",\"Find(4)=4, Find(7)=6, Add (4,7)=4 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=18\",\"Find(0)=0, Find(7)=6, Add (0,7)=13 Succeeded, w=31\",\"Find(4)=0, Find(6)=0, Add (4,6)=25 Failed, w=31\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=58\",\"Find(4)=0, Find(5)=0, Add (4,5)=30 Failed, w=58\",\"Find(2)=1, Find(7)=0, Add (2,7)=42 Succeeded, w=100\",\"Find(3)=3, Find(5)=0, Add (3,5)=42 Succeeded, w=142\",\"Find(3)=0, Find(6)=0, Add (3,6)=46 Failed, w=142\",\"Find(5)=0, Find(7)=0, Add (5,7)=59 Failed, w=142\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=142\",\"Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=142\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=142\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=142\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=142\",\"Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,68],[0,5,11],[0,7,13],[1,2,27],[1,3,63],[1,5,67],[2,3,76],[2,7,42],[3,5,42],[3,6,46],[4,5,30],[4,6,25],[4,7,4],[5,6,86],[5,7,59],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(4,7)=4,(0,5)=11,(0,7)=13,(4,6)=25,(1,2)=27,(4,5)=30,(2,7)=42,(3,5)=42,(3,6)=46,(5,7)=59,(1,3)=63,(0,1)=64,(1,5)=67,(0,2)=68,(2,3)=76,(5,6)=86]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 6, 5: 5, 6: 6, 7: 6}, Find(4)=4, Find(7)=6, Add (4,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 6, 5: 0, 6: 6, 7: 6}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 6, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(7)=6, Add (0,7)=13 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 6}, Find(4)=0, Find(6)=0, Add (4,6)=25 Failed, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 0, 7: 6}, Find(4)=0, Find(5)=0, Add (4,5)=30 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=1, Find(7)=0, Add (2,7)=42 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(5)=0, Add (3,5)=42 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=46 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=59 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,35],[1,2,65],[1,3,79],[1,4,70],[2,3,66],[3,4,61]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,35],[1,2,65],[1,3,79],[1,4,70],[2,3,66],[3,4,61]]}",
"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\":[[0,1,18],[0,2,35],[1,2,65],[1,3,79],[1,4,70],[2,3,66],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,35],[1,2,65],[1,3,79],[1,4,70],[2,3,66],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18, w=18\",\"Add (0,2)=35, w=53\",\"Add (3,4)=61, w=114\",\"Add (2,3)=66, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,35],[1,2,65],[1,3,79],[1,4,70],[2,3,66],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18 Succeeded, w=18\",\"Add (0,2)=35 Succeeded, w=53\",\"Add (3,4)=61 Succeeded, w=114\",\"Add (1,2)=65 Failed, w=114\",\"Add (2,3)=66 Succeeded, w=180\",\"Add (1,4)=70 Failed, w=180\",\"Add (1,3)=79 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\":[[0,1,18],[0,2,35],[1,2,65],[1,3,79],[1,4,70],[2,3,66],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(0,2)=35,(3,4)=61,(1,2)=65,(2,3)=66,(1,4)=70,(1,3)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=53\",\"Find(3)=3, Find(4)=4, Add (3,4)=61 Succeeded, w=114\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=114\",\"Find(2)=0, Find(3)=3, Add (2,3)=66 Succeeded, w=180\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=180\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 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\":[[0,1,18],[0,2,35],[1,2,65],[1,3,79],[1,4,70],[2,3,66],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(0,2)=35,(3,4)=61,(1,2)=65,(2,3)=66,(1,4)=70,(1,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=61 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=3, Add (2,3)=66 Succeeded, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,66],[0,3,11],[0,4,58],[0,6,100],[1,2,35],[1,4,77],[1,5,44],[1,6,13],[2,5,34],[3,5,42],[4,5,46],[4,6,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,66],[0,3,11],[0,4,58],[0,6,100],[1,2,35],[1,4,77],[1,5,44],[1,6,13],[2,5,34],[3,5,42],[4,5,46],[4,6,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,66],[0,3,11],[0,4,58],[0,6,100],[1,2,35],[1,4,77],[1,5,44],[1,6,13],[2,5,34],[3,5,42],[4,5,46],[4,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,66],[0,3,11],[0,4,58],[0,6,100],[1,2,35],[1,4,77],[1,5,44],[1,6,13],[2,5,34],[3,5,42],[4,5,46],[4,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (1,6)=13, w=24\",\"Add (2,5)=34, w=58\",\"Add (1,2)=35, w=93\",\"Add (3,5)=42, w=135\",\"Add (4,5)=46, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,66],[0,3,11],[0,4,58],[0,6,100],[1,2,35],[1,4,77],[1,5,44],[1,6,13],[2,5,34],[3,5,42],[4,5,46],[4,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (1,6)=13 Succeeded, w=24\",\"Add (2,5)=34 Succeeded, w=58\",\"Add (1,2)=35 Succeeded, w=93\",\"Add (3,5)=42 Succeeded, w=135\",\"Add (1,5)=44 Failed, w=135\",\"Add (4,5)=46 Succeeded, w=181\",\"Add (0,4)=58 Failed, w=181\",\"Add (4,6)=64 Failed, w=181\",\"Add (0,2)=66 Failed, w=181\",\"Add (1,4)=77 Failed, w=181\",\"Add (0,6)=100 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,66],[0,3,11],[0,4,58],[0,6,100],[1,2,35],[1,4,77],[1,5,44],[1,6,13],[2,5,34],[3,5,42],[4,5,46],[4,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,6)=13,(2,5)=34,(1,2)=35,(3,5)=42,(1,5)=44,(4,5)=46,(0,4)=58,(4,6)=64,(0,2)=66,(1,4)=77,(0,6)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(6)=6, Add (1,6)=13 Succeeded, w=24\",\"Find(2)=2, Find(5)=5, Add (2,5)=34 Succeeded, w=58\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=93\",\"Find(3)=0, Find(5)=1, Add (3,5)=42 Succeeded, w=135\",\"Find(1)=1, Find(5)=1, Add (1,5)=44 Failed, w=135\",\"Find(4)=4, Find(5)=1, Add (4,5)=46 Succeeded, w=181\",\"Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=181\",\"Find(4)=1, Find(6)=1, Add (4,6)=64 Failed, w=181\",\"Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=181\",\"Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=181\",\"Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,66],[0,3,11],[0,4,58],[0,6,100],[1,2,35],[1,4,77],[1,5,44],[1,6,13],[2,5,34],[3,5,42],[4,5,46],[4,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,6)=13,(2,5)=34,(1,2)=35,(3,5)=42,(1,5)=44,(4,5)=46,(0,4)=58,(4,6)=64,(0,2)=66,(1,4)=77,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 1}, Find(2)=2, Find(5)=5, Add (2,5)=34 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 2, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 1}, Find(3)=0, Find(5)=1, Add (3,5)=42 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=44 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(4)=4, Find(5)=1, Add (4,5)=46 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=64 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=98, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=98 Succeeded, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=98 Succeeded, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=98 Succeeded, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,10],[1,2,39],[1,3,27],[2,3,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,39],[1,3,27],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,39],[1,3,27],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":68}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,39],[1,3,27],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,3)=27, w=37\",\"Add (2,3)=31, w=68\"],\"Answer\":68}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,39],[1,3,27],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,3)=27 Succeeded, w=37\",\"Add (2,3)=31 Succeeded, w=68\",\"Add (1,2)=39 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,39],[1,3,27],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=27,(2,3)=31,(1,2)=39]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=37\",\"Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=68\",\"Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,10],[1,2,39],[1,3,27],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=27,(2,3)=31,(1,2)=39]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,30],[0,4,96],[0,6,18],[1,4,81],[1,5,62],[1,6,19],[1,7,30],[2,3,64],[2,4,94],[2,6,36],[3,5,47],[3,6,16],[3,7,91],[4,5,61],[4,7,12],[5,6,71],[5,7,65]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,30],[0,4,96],[0,6,18],[1,4,81],[1,5,62],[1,6,19],[1,7,30],[2,3,64],[2,4,94],[2,6,36],[3,5,47],[3,6,16],[3,7,91],[4,5,61],[4,7,12],[5,6,71],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,30],[0,4,96],[0,6,18],[1,4,81],[1,5,62],[1,6,19],[1,7,30],[2,3,64],[2,4,94],[2,6,36],[3,5,47],[3,6,16],[3,7,91],[4,5,61],[4,7,12],[5,6,71],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (1,7)\",\"Add (3,5)\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,30],[0,4,96],[0,6,18],[1,4,81],[1,5,62],[1,6,19],[1,7,30],[2,3,64],[2,4,94],[2,6,36],[3,5,47],[3,6,16],[3,7,91],[4,5,61],[4,7,12],[5,6,71],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=12, w=12\",\"Add (3,6)=16, w=28\",\"Add (0,6)=18, w=46\",\"Add (1,6)=19, w=65\",\"Add (0,2)=30, w=95\",\"Add (1,7)=30, w=125\",\"Add (3,5)=47, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,30],[0,4,96],[0,6,18],[1,4,81],[1,5,62],[1,6,19],[1,7,30],[2,3,64],[2,4,94],[2,6,36],[3,5,47],[3,6,16],[3,7,91],[4,5,61],[4,7,12],[5,6,71],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=12 Succeeded, w=12\",\"Add (3,6)=16 Succeeded, w=28\",\"Add (0,6)=18 Succeeded, w=46\",\"Add (1,6)=19 Succeeded, w=65\",\"Add (0,2)=30 Succeeded, w=95\",\"Add (1,7)=30 Succeeded, w=125\",\"Add (2,6)=36 Failed, w=125\",\"Add (3,5)=47 Succeeded, w=172\",\"Add (4,5)=61 Failed, w=172\",\"Add (1,5)=62 Failed, w=172\",\"Add (2,3)=64 Failed, w=172\",\"Add (5,7)=65 Failed, w=172\",\"Add (5,6)=71 Failed, w=172\",\"Add (1,4)=81 Failed, w=172\",\"Add (3,7)=91 Failed, w=172\",\"Add (2,4)=94 Failed, w=172\",\"Add (0,4)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,30],[0,4,96],[0,6,18],[1,4,81],[1,5,62],[1,6,19],[1,7,30],[2,3,64],[2,4,94],[2,6,36],[3,5,47],[3,6,16],[3,7,91],[4,5,61],[4,7,12],[5,6,71],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=12,(3,6)=16,(0,6)=18,(1,6)=19,(0,2)=30,(1,7)=30,(2,6)=36,(3,5)=47,(4,5)=61,(1,5)=62,(2,3)=64,(5,7)=65,(5,6)=71,(1,4)=81,(3,7)=91,(2,4)=94,(0,4)=96]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=12 Succeeded, w=12\",\"Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=28\",\"Find(0)=0, Find(6)=3, Add (0,6)=18 Succeeded, w=46\",\"Find(1)=1, Find(6)=3, Add (1,6)=19 Succeeded, w=65\",\"Find(0)=3, Find(2)=2, Add (0,2)=30 Succeeded, w=95\",\"Find(1)=3, Find(7)=4, Add (1,7)=30 Succeeded, w=125\",\"Find(2)=3, Find(6)=3, Add (2,6)=36 Failed, w=125\",\"Find(3)=3, Find(5)=5, Add (3,5)=47 Succeeded, w=172\",\"Find(4)=3, Find(5)=3, Add (4,5)=61 Failed, w=172\",\"Find(1)=3, Find(5)=3, Add (1,5)=62 Failed, w=172\",\"Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=172\",\"Find(5)=3, Find(7)=3, Add (5,7)=65 Failed, w=172\",\"Find(5)=3, Find(6)=3, Add (5,6)=71 Failed, w=172\",\"Find(1)=3, Find(4)=3, Add (1,4)=81 Failed, w=172\",\"Find(3)=3, Find(7)=3, Add (3,7)=91 Failed, w=172\",\"Find(2)=3, Find(4)=3, Add (2,4)=94 Failed, w=172\",\"Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,30],[0,4,96],[0,6,18],[1,4,81],[1,5,62],[1,6,19],[1,7,30],[2,3,64],[2,4,94],[2,6,36],[3,5,47],[3,6,16],[3,7,91],[4,5,61],[4,7,12],[5,6,71],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=12,(3,6)=16,(0,6)=18,(1,6)=19,(0,2)=30,(1,7)=30,(2,6)=36,(3,5)=47,(4,5)=61,(1,5)=62,(2,3)=64,(5,7)=65,(5,6)=71,(1,4)=81,(3,7)=91,(2,4)=94,(0,4)=96]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=28\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(0)=0, Find(6)=3, Add (0,6)=18 Succeeded, w=46\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(1)=1, Find(6)=3, Add (1,6)=19 Succeeded, w=65\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(0)=3, Find(2)=2, Add (0,2)=30 Succeeded, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 4}, Find(1)=3, Find(7)=4, Add (1,7)=30 Succeeded, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 4}, Find(2)=3, Find(6)=3, Add (2,6)=36 Failed, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(3)=3, Find(5)=5, Add (3,5)=47 Succeeded, w=172\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(4)=3, Find(5)=3, Add (4,5)=61 Failed, w=172\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(1)=3, Find(5)=3, Add (1,5)=62 Failed, w=172\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=172\",\"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)=65 Failed, w=172\",\"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)=71 Failed, w=172\",\"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)=81 Failed, w=172\",\"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)=91 Failed, w=172\",\"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)=94 Failed, w=172\",\"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)=96 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,96],[0,2,42],[0,3,87],[0,4,41],[0,5,55],[1,2,24],[1,3,24],[1,4,66],[1,5,73],[2,3,35],[2,4,27],[2,5,82],[3,4,4],[3,5,0],[4,5,82]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,42],[0,3,87],[0,4,41],[0,5,55],[1,2,24],[1,3,24],[1,4,66],[1,5,73],[2,3,35],[2,4,27],[2,5,82],[3,4,4],[3,5,0],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,42],[0,3,87],[0,4,41],[0,5,55],[1,2,24],[1,3,24],[1,4,66],[1,5,73],[2,3,35],[2,4,27],[2,5,82],[3,4,4],[3,5,0],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,42],[0,3,87],[0,4,41],[0,5,55],[1,2,24],[1,3,24],[1,4,66],[1,5,73],[2,3,35],[2,4,27],[2,5,82],[3,4,4],[3,5,0],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (3,4)=4, w=4\",\"Add (1,2)=24, w=28\",\"Add (1,3)=24, w=52\",\"Add (0,4)=41, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,42],[0,3,87],[0,4,41],[0,5,55],[1,2,24],[1,3,24],[1,4,66],[1,5,73],[2,3,35],[2,4,27],[2,5,82],[3,4,4],[3,5,0],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (3,4)=4 Succeeded, w=4\",\"Add (1,2)=24 Succeeded, w=28\",\"Add (1,3)=24 Succeeded, w=52\",\"Add (2,4)=27 Failed, w=52\",\"Add (2,3)=35 Failed, w=52\",\"Add (0,4)=41 Succeeded, w=93\",\"Add (0,2)=42 Failed, w=93\",\"Add (0,5)=55 Failed, w=93\",\"Add (1,4)=66 Failed, w=93\",\"Add (1,5)=73 Failed, w=93\",\"Add (2,5)=82 Failed, w=93\",\"Add (4,5)=82 Failed, w=93\",\"Add (0,3)=87 Failed, w=93\",\"Add (0,1)=96 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,42],[0,3,87],[0,4,41],[0,5,55],[1,2,24],[1,3,24],[1,4,66],[1,5,73],[2,3,35],[2,4,27],[2,5,82],[3,4,4],[3,5,0],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(3,4)=4,(1,2)=24,(1,3)=24,(2,4)=27,(2,3)=35,(0,4)=41,(0,2)=42,(0,5)=55,(1,4)=66,(1,5)=73,(2,5)=82,(4,5)=82,(0,3)=87,(0,1)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=52\",\"Find(2)=1, Find(4)=1, Add (2,4)=27 Failed, w=52\",\"Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=52\",\"Find(0)=0, Find(4)=1, Add (0,4)=41 Succeeded, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=42 Failed, w=93\",\"Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=93\",\"Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=93\",\"Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=93\",\"Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=93\",\"Find(4)=1, Find(5)=1, Add (4,5)=82 Failed, w=93\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,42],[0,3,87],[0,4,41],[0,5,55],[1,2,24],[1,3,24],[1,4,66],[1,5,73],[2,3,35],[2,4,27],[2,5,82],[3,4,4],[3,5,0],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(3,4)=4,(1,2)=24,(1,3)=24,(2,4)=27,(2,3)=35,(0,4)=41,(0,2)=42,(0,5)=55,(1,4)=66,(1,5)=73,(2,5)=82,(4,5)=82,(0,3)=87,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(2)=1, Find(4)=1, Add (2,4)=27 Failed, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=0, Find(4)=1, Add (0,4)=41 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(2)=1, Add (0,2)=42 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=93\",\"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=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=82 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,37],[0,2,22],[0,3,10],[0,5,52],[1,2,60],[1,5,15],[1,6,80],[2,3,33],[2,4,13],[2,5,16],[3,5,98],[4,5,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,22],[0,3,10],[0,5,52],[1,2,60],[1,5,15],[1,6,80],[2,3,33],[2,4,13],[2,5,16],[3,5,98],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,22],[0,3,10],[0,5,52],[1,2,60],[1,5,15],[1,6,80],[2,3,33],[2,4,13],[2,5,16],[3,5,98],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (1,6)\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,22],[0,3,10],[0,5,52],[1,2,60],[1,5,15],[1,6,80],[2,3,33],[2,4,13],[2,5,16],[3,5,98],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (2,4)=13, w=23\",\"Add (1,5)=15, w=38\",\"Add (4,5)=15, w=53\",\"Add (0,2)=22, w=75\",\"Add (1,6)=80, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,22],[0,3,10],[0,5,52],[1,2,60],[1,5,15],[1,6,80],[2,3,33],[2,4,13],[2,5,16],[3,5,98],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (2,4)=13 Succeeded, w=23\",\"Add (1,5)=15 Succeeded, w=38\",\"Add (4,5)=15 Succeeded, w=53\",\"Add (2,5)=16 Failed, w=53\",\"Add (0,2)=22 Succeeded, w=75\",\"Add (2,3)=33 Failed, w=75\",\"Add (0,1)=37 Failed, w=75\",\"Add (0,5)=52 Failed, w=75\",\"Add (1,2)=60 Failed, w=75\",\"Add (1,6)=80 Succeeded, w=155\",\"Add (3,5)=98 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,22],[0,3,10],[0,5,52],[1,2,60],[1,5,15],[1,6,80],[2,3,33],[2,4,13],[2,5,16],[3,5,98],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(2,4)=13,(1,5)=15,(4,5)=15,(2,5)=16,(0,2)=22,(2,3)=33,(0,1)=37,(0,5)=52,(1,2)=60,(1,6)=80,(3,5)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=23\",\"Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=38\",\"Find(4)=2, Find(5)=1, Add (4,5)=15 Succeeded, w=53\",\"Find(2)=2, Find(5)=2, Add (2,5)=16 Failed, w=53\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=75\",\"Find(2)=2, Find(3)=2, Add (2,3)=33 Failed, w=75\",\"Find(0)=2, Find(1)=2, Add (0,1)=37 Failed, w=75\",\"Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=75\",\"Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=75\",\"Find(1)=2, Find(6)=6, Add (1,6)=80 Succeeded, w=155\",\"Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,2,22],[0,3,10],[0,5,52],[1,2,60],[1,5,15],[1,6,80],[2,3,33],[2,4,13],[2,5,16],[3,5,98],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(2,4)=13,(1,5)=15,(4,5)=15,(2,5)=16,(0,2)=22,(2,3)=33,(0,1)=37,(0,5)=52,(1,2)=60,(1,6)=80,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 1, 6: 6}, Find(4)=2, Find(5)=1, Add (4,5)=15 Succeeded, w=53\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(5)=2, Add (2,5)=16 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(3)=2, Add (2,3)=33 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(1)=2, Add (0,1)=37 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=6, Add (1,6)=80 Succeeded, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,39],[0,4,5],[1,2,6],[1,3,47],[1,4,3],[1,5,82],[2,5,36],[3,4,17],[3,5,55]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,4,5],[1,2,6],[1,3,47],[1,4,3],[1,5,82],[2,5,36],[3,4,17],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,4,5],[1,2,6],[1,3,47],[1,4,3],[1,5,82],[2,5,36],[3,4,17],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,4,5],[1,2,6],[1,3,47],[1,4,3],[1,5,82],[2,5,36],[3,4,17],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (0,4)=5, w=8\",\"Add (1,2)=6, w=14\",\"Add (3,4)=17, w=31\",\"Add (2,5)=36, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,4,5],[1,2,6],[1,3,47],[1,4,3],[1,5,82],[2,5,36],[3,4,17],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (0,4)=5 Succeeded, w=8\",\"Add (1,2)=6 Succeeded, w=14\",\"Add (3,4)=17 Succeeded, w=31\",\"Add (2,5)=36 Succeeded, w=67\",\"Add (0,3)=39 Failed, w=67\",\"Add (1,3)=47 Failed, w=67\",\"Add (3,5)=55 Failed, w=67\",\"Add (1,5)=82 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,4,5],[1,2,6],[1,3,47],[1,4,3],[1,5,82],[2,5,36],[3,4,17],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,4)=5,(1,2)=6,(3,4)=17,(2,5)=36,(0,3)=39,(1,3)=47,(3,5)=55,(1,5)=82]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=1, Add (0,4)=5 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=14\",\"Find(3)=3, Find(4)=1, Add (3,4)=17 Succeeded, w=31\",\"Find(2)=1, Find(5)=5, Add (2,5)=36 Succeeded, w=67\",\"Find(0)=1, Find(3)=1, Add (0,3)=39 Failed, w=67\",\"Find(1)=1, Find(3)=1, Add (1,3)=47 Failed, w=67\",\"Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=67\",\"Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,39],[0,4,5],[1,2,6],[1,3,47],[1,4,3],[1,5,82],[2,5,36],[3,4,17],[3,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,4)=5,(1,2)=6,(3,4)=17,(2,5)=36,(0,3)=39,(1,3)=47,(3,5)=55,(1,5)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=5 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=17 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=36 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=39 Failed, w=67\",\"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=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=55 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,74],[0,2,42],[0,3,16],[0,4,83],[0,6,79],[1,3,87],[1,4,84],[1,5,43],[1,6,88],[1,7,25],[2,3,36],[2,5,3],[2,6,94],[2,7,21],[3,4,36],[3,5,94],[3,6,30],[3,7,8],[4,5,35],[4,6,95],[4,7,30],[5,7,91],[6,7,18]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,42],[0,3,16],[0,4,83],[0,6,79],[1,3,87],[1,4,84],[1,5,43],[1,6,88],[1,7,25],[2,3,36],[2,5,3],[2,6,94],[2,7,21],[3,4,36],[3,5,94],[3,6,30],[3,7,8],[4,5,35],[4,6,95],[4,7,30],[5,7,91],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,42],[0,3,16],[0,4,83],[0,6,79],[1,3,87],[1,4,84],[1,5,43],[1,6,88],[1,7,25],[2,3,36],[2,5,3],[2,6,94],[2,7,21],[3,4,36],[3,5,94],[3,6,30],[3,7,8],[4,5,35],[4,6,95],[4,7,30],[5,7,91],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,7)\",\"Add (0,3)\",\"Add (6,7)\",\"Add (2,7)\",\"Add (1,7)\",\"Add (4,7)\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,42],[0,3,16],[0,4,83],[0,6,79],[1,3,87],[1,4,84],[1,5,43],[1,6,88],[1,7,25],[2,3,36],[2,5,3],[2,6,94],[2,7,21],[3,4,36],[3,5,94],[3,6,30],[3,7,8],[4,5,35],[4,6,95],[4,7,30],[5,7,91],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (3,7)=8, w=11\",\"Add (0,3)=16, w=27\",\"Add (6,7)=18, w=45\",\"Add (2,7)=21, w=66\",\"Add (1,7)=25, w=91\",\"Add (4,7)=30, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,42],[0,3,16],[0,4,83],[0,6,79],[1,3,87],[1,4,84],[1,5,43],[1,6,88],[1,7,25],[2,3,36],[2,5,3],[2,6,94],[2,7,21],[3,4,36],[3,5,94],[3,6,30],[3,7,8],[4,5,35],[4,6,95],[4,7,30],[5,7,91],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (3,7)=8 Succeeded, w=11\",\"Add (0,3)=16 Succeeded, w=27\",\"Add (6,7)=18 Succeeded, w=45\",\"Add (2,7)=21 Succeeded, w=66\",\"Add (1,7)=25 Succeeded, w=91\",\"Add (3,6)=30 Failed, w=91\",\"Add (4,7)=30 Succeeded, w=121\",\"Add (4,5)=35 Failed, w=121\",\"Add (2,3)=36 Failed, w=121\",\"Add (3,4)=36 Failed, w=121\",\"Add (0,2)=42 Failed, w=121\",\"Add (1,5)=43 Failed, w=121\",\"Add (0,1)=74 Failed, w=121\",\"Add (0,6)=79 Failed, w=121\",\"Add (0,4)=83 Failed, w=121\",\"Add (1,4)=84 Failed, w=121\",\"Add (1,3)=87 Failed, w=121\",\"Add (1,6)=88 Failed, w=121\",\"Add (5,7)=91 Failed, w=121\",\"Add (2,6)=94 Failed, w=121\",\"Add (3,5)=94 Failed, w=121\",\"Add (4,6)=95 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,42],[0,3,16],[0,4,83],[0,6,79],[1,3,87],[1,4,84],[1,5,43],[1,6,88],[1,7,25],[2,3,36],[2,5,3],[2,6,94],[2,7,21],[3,4,36],[3,5,94],[3,6,30],[3,7,8],[4,5,35],[4,6,95],[4,7,30],[5,7,91],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(3,7)=8,(0,3)=16,(6,7)=18,(2,7)=21,(1,7)=25,(3,6)=30,(4,7)=30,(4,5)=35,(2,3)=36,(3,4)=36,(0,2)=42,(1,5)=43,(0,1)=74,(0,6)=79,(0,4)=83,(1,4)=84,(1,3)=87,(1,6)=88,(5,7)=91,(2,6)=94,(3,5)=94,(4,6)=95]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=27\",\"Find(6)=6, Find(7)=3, Add (6,7)=18 Succeeded, w=45\",\"Find(2)=2, Find(7)=3, Add (2,7)=21 Succeeded, w=66\",\"Find(1)=1, Find(7)=2, Add (1,7)=25 Succeeded, w=91\",\"Find(3)=2, Find(6)=2, Add (3,6)=30 Failed, w=91\",\"Find(4)=4, Find(7)=2, Add (4,7)=30 Succeeded, w=121\",\"Find(4)=2, Find(5)=2, Add (4,5)=35 Failed, w=121\",\"Find(2)=2, Find(3)=2, Add (2,3)=36 Failed, w=121\",\"Find(3)=2, Find(4)=2, Add (3,4)=36 Failed, w=121\",\"Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=121\",\"Find(1)=2, Find(5)=2, Add (1,5)=43 Failed, w=121\",\"Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=121\",\"Find(0)=2, Find(6)=2, Add (0,6)=79 Failed, w=121\",\"Find(0)=2, Find(4)=2, Add (0,4)=83 Failed, w=121\",\"Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=121\",\"Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=121\",\"Find(1)=2, Find(6)=2, Add (1,6)=88 Failed, w=121\",\"Find(5)=2, Find(7)=2, Add (5,7)=91 Failed, w=121\",\"Find(2)=2, Find(6)=2, Add (2,6)=94 Failed, w=121\",\"Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=121\",\"Find(4)=2, Find(6)=2, Add (4,6)=95 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,42],[0,3,16],[0,4,83],[0,6,79],[1,3,87],[1,4,84],[1,5,43],[1,6,88],[1,7,25],[2,3,36],[2,5,3],[2,6,94],[2,7,21],[3,4,36],[3,5,94],[3,6,30],[3,7,8],[4,5,35],[4,6,95],[4,7,30],[5,7,91],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(3,7)=8,(0,3)=16,(6,7)=18,(2,7)=21,(1,7)=25,(3,6)=30,(4,7)=30,(4,5)=35,(2,3)=36,(3,4)=36,(0,2)=42,(1,5)=43,(0,1)=74,(0,6)=79,(0,4)=83,(1,4)=84,(1,3)=87,(1,6)=88,(5,7)=91,(2,6)=94,(3,5)=94,(4,6)=95]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=11\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=27\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 3}, Find(6)=6, Find(7)=3, Add (6,7)=18 Succeeded, w=45\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=21 Succeeded, w=66\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=25 Succeeded, w=91\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=30 Failed, w=91\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=4, Find(7)=2, Add (4,7)=30 Succeeded, w=121\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=35 Failed, w=121\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=36 Failed, w=121\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=36 Failed, w=121\",\"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)=42 Failed, w=121\",\"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)=43 Failed, w=121\",\"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)=74 Failed, w=121\",\"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)=79 Failed, w=121\",\"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)=83 Failed, w=121\",\"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)=84 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=121\",\"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)=88 Failed, w=121\",\"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)=91 Failed, w=121\",\"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)=94 Failed, w=121\",\"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)=94 Failed, w=121\",\"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)=95 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,27],[0,2,65],[0,3,93],[0,4,26],[1,2,76],[1,3,19],[1,4,3],[2,3,74],[2,4,24],[3,4,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,65],[0,3,93],[0,4,26],[1,2,76],[1,3,19],[1,4,3],[2,3,74],[2,4,24],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,65],[0,3,93],[0,4,26],[1,2,76],[1,3,19],[1,4,3],[2,3,74],[2,4,24],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,65],[0,3,93],[0,4,26],[1,2,76],[1,3,19],[1,4,3],[2,3,74],[2,4,24],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (1,3)=19, w=22\",\"Add (2,4)=24, w=46\",\"Add (0,4)=26, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,65],[0,3,93],[0,4,26],[1,2,76],[1,3,19],[1,4,3],[2,3,74],[2,4,24],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (1,3)=19 Succeeded, w=22\",\"Add (2,4)=24 Succeeded, w=46\",\"Add (0,4)=26 Succeeded, w=72\",\"Add (0,1)=27 Failed, w=72\",\"Add (0,2)=65 Failed, w=72\",\"Add (2,3)=74 Failed, w=72\",\"Add (1,2)=76 Failed, w=72\",\"Add (3,4)=79 Failed, w=72\",\"Add (0,3)=93 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,65],[0,3,93],[0,4,26],[1,2,76],[1,3,19],[1,4,3],[2,3,74],[2,4,24],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,3)=19,(2,4)=24,(0,4)=26,(0,1)=27,(0,2)=65,(2,3)=74,(1,2)=76,(3,4)=79,(0,3)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=22\",\"Find(2)=2, Find(4)=1, Add (2,4)=24 Succeeded, w=46\",\"Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=72\",\"Find(0)=1, Find(1)=1, Add (0,1)=27 Failed, w=72\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=72\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=72\",\"Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=72\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=72\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,65],[0,3,93],[0,4,26],[1,2,76],[1,3,19],[1,4,3],[2,3,74],[2,4,24],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,3)=19,(2,4)=24,(0,4)=26,(0,1)=27,(0,2)=65,(2,3)=74,(1,2)=76,(3,4)=79,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=24 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=27 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,27],[0,2,26],[0,3,65],[0,5,60],[1,2,26],[1,3,89],[2,3,0],[2,4,72],[2,5,100],[3,4,75],[3,5,17],[4,5,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,27],[0,2,26],[0,3,65],[0,5,60],[1,2,26],[1,3,89],[2,3,0],[2,4,72],[2,5,100],[3,4,75],[3,5,17],[4,5,25]]}",
"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\":[[0,1,27],[0,2,26],[0,3,65],[0,5,60],[1,2,26],[1,3,89],[2,3,0],[2,4,72],[2,5,100],[3,4,75],[3,5,17],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,27],[0,2,26],[0,3,65],[0,5,60],[1,2,26],[1,3,89],[2,3,0],[2,4,72],[2,5,100],[3,4,75],[3,5,17],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (3,5)=17, w=17\",\"Add (4,5)=25, w=42\",\"Add (0,2)=26, w=68\",\"Add (1,2)=26, 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\":[[0,1,27],[0,2,26],[0,3,65],[0,5,60],[1,2,26],[1,3,89],[2,3,0],[2,4,72],[2,5,100],[3,4,75],[3,5,17],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (3,5)=17 Succeeded, w=17\",\"Add (4,5)=25 Succeeded, w=42\",\"Add (0,2)=26 Succeeded, w=68\",\"Add (1,2)=26 Succeeded, w=94\",\"Add (0,1)=27 Failed, w=94\",\"Add (0,5)=60 Failed, w=94\",\"Add (0,3)=65 Failed, w=94\",\"Add (2,4)=72 Failed, w=94\",\"Add (3,4)=75 Failed, w=94\",\"Add (1,3)=89 Failed, w=94\",\"Add (2,5)=100 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\":[[0,1,27],[0,2,26],[0,3,65],[0,5,60],[1,2,26],[1,3,89],[2,3,0],[2,4,72],[2,5,100],[3,4,75],[3,5,17],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(3,5)=17,(4,5)=25,(0,2)=26,(1,2)=26,(0,1)=27,(0,5)=60,(0,3)=65,(2,4)=72,(3,4)=75,(1,3)=89,(2,5)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(3)=2, Find(5)=5, Add (3,5)=17 Succeeded, w=17\",\"Find(4)=4, Find(5)=2, Add (4,5)=25 Succeeded, w=42\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=68\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=94\",\"Find(0)=2, Find(1)=2, Add (0,1)=27 Failed, w=94\",\"Find(0)=2, Find(5)=2, Add (0,5)=60 Failed, w=94\",\"Find(0)=2, Find(3)=2, Add (0,3)=65 Failed, w=94\",\"Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=94\",\"Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=94\",\"Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=94\",\"Find(2)=2, Find(5)=2, Add (2,5)=100 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\":[[0,1,27],[0,2,26],[0,3,65],[0,5,60],[1,2,26],[1,3,89],[2,3,0],[2,4,72],[2,5,100],[3,4,75],[3,5,17],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(3,5)=17,(4,5)=25,(0,2)=26,(1,2)=26,(0,1)=27,(0,5)=60,(0,3)=65,(2,4)=72,(3,4)=75,(1,3)=89,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=25 Succeeded, w=42\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=68\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=27 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=60 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=65 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,35],[0,4,80],[0,5,57],[0,6,80],[1,4,51],[1,6,50],[1,7,25],[2,4,11],[2,6,19],[2,7,83],[4,5,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,35],[0,4,80],[0,5,57],[0,6,80],[1,4,51],[1,6,50],[1,7,25],[2,4,11],[2,6,19],[2,7,83],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,35],[0,4,80],[0,5,57],[0,6,80],[1,4,51],[1,6,50],[1,7,25],[2,4,11],[2,6,19],[2,7,83],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,6)\",\"Add (1,7)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (0,5)\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,35],[0,4,80],[0,5,57],[0,6,80],[1,4,51],[1,6,50],[1,7,25],[2,4,11],[2,6,19],[2,7,83],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (2,6)=19, w=30\",\"Add (1,7)=25, w=55\",\"Add (0,2)=35, w=90\",\"Add (1,6)=50, w=140\",\"Add (0,5)=57, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,35],[0,4,80],[0,5,57],[0,6,80],[1,4,51],[1,6,50],[1,7,25],[2,4,11],[2,6,19],[2,7,83],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (2,6)=19 Succeeded, w=30\",\"Add (1,7)=25 Succeeded, w=55\",\"Add (0,2)=35 Succeeded, w=90\",\"Add (1,6)=50 Succeeded, w=140\",\"Add (1,4)=51 Failed, w=140\",\"Add (0,5)=57 Succeeded, w=197\",\"Add (0,4)=80 Failed, w=197\",\"Add (0,6)=80 Failed, w=197\",\"Add (4,5)=81 Failed, w=197\",\"Add (2,7)=83 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,35],[0,4,80],[0,5,57],[0,6,80],[1,4,51],[1,6,50],[1,7,25],[2,4,11],[2,6,19],[2,7,83],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(2,6)=19,(1,7)=25,(0,2)=35,(1,6)=50,(1,4)=51,(0,5)=57,(0,4)=80,(0,6)=80,(4,5)=81,(2,7)=83]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(2)=2, Find(6)=6, Add (2,6)=19 Succeeded, w=30\",\"Find(1)=1, Find(7)=7, Add (1,7)=25 Succeeded, w=55\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=90\",\"Find(1)=1, Find(6)=2, Add (1,6)=50 Succeeded, w=140\",\"Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=140\",\"Find(0)=1, Find(5)=5, Add (0,5)=57 Succeeded, w=197\",\"Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=197\",\"Find(0)=1, Find(6)=1, Add (0,6)=80 Failed, w=197\",\"Find(4)=1, Find(5)=1, Add (4,5)=81 Failed, w=197\",\"Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,35],[0,4,80],[0,5,57],[0,6,80],[1,4,51],[1,6,50],[1,7,25],[2,4,11],[2,6,19],[2,7,83],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(2,6)=19,(1,7)=25,(0,2)=35,(1,6)=50,(1,4)=51,(0,5)=57,(0,4)=80,(0,6)=80,(4,5)=81,(2,7)=83]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=25 Succeeded, w=55\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 1}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=90\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 3, 4: 2, 5: 5, 6: 2, 7: 1}, Find(1)=1, Find(6)=2, Add (1,6)=50 Succeeded, w=140\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 2, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(5)=5, Add (0,5)=57 Succeeded, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=80 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=81 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,3,81],[1,2,59],[2,3,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,81],[1,2,59],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,81],[1,2,59],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,81],[1,2,59],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\",\"Add (1,2)=59, w=72\",\"Add (2,3)=72, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,81],[1,2,59],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\",\"Add (1,2)=59 Succeeded, w=72\",\"Add (2,3)=72 Succeeded, w=144\",\"Add (0,3)=81 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,81],[1,2,59],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(1,2)=59,(2,3)=72,(0,3)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Find(1)=0, Find(2)=2, Add (1,2)=59 Succeeded, w=72\",\"Find(2)=0, Find(3)=3, Add (2,3)=72 Succeeded, w=144\",\"Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,81],[1,2,59],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(1,2)=59,(2,3)=72,(0,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=59 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=72 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,51],[0,2,18],[0,3,56],[1,2,87],[1,3,95],[2,3,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,18],[0,3,56],[1,2,87],[1,3,95],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,18],[0,3,56],[1,2,87],[1,3,95],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,18],[0,3,56],[1,2,87],[1,3,95],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (0,2)=18, w=25\",\"Add (0,1)=51, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,18],[0,3,56],[1,2,87],[1,3,95],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (0,2)=18 Succeeded, w=25\",\"Add (0,1)=51 Succeeded, w=76\",\"Add (0,3)=56 Failed, w=76\",\"Add (1,2)=87 Failed, w=76\",\"Add (1,3)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,18],[0,3,56],[1,2,87],[1,3,95],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,2)=18,(0,1)=51,(0,3)=56,(1,2)=87,(1,3)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=25\",\"Find(0)=2, Find(1)=1, Add (0,1)=51 Succeeded, w=76\",\"Find(0)=2, Find(3)=2, Add (0,3)=56 Failed, w=76\",\"Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=76\",\"Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,18],[0,3,56],[1,2,87],[1,3,95],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,2)=18,(0,1)=51,(0,3)=56,(1,2)=87,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=51 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=56 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[0,2,52],[1,2,36],[1,3,16],[2,3,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,52],[1,2,36],[1,3,16],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,52],[1,2,36],[1,3,16],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,52],[1,2,36],[1,3,16],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16, w=16\",\"Add (1,2)=36, w=52\",\"Add (0,2)=52, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,52],[1,2,36],[1,3,16],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16 Succeeded, w=16\",\"Add (1,2)=36 Succeeded, w=52\",\"Add (0,2)=52 Succeeded, w=104\",\"Add (2,3)=75 Failed, w=104\",\"Add (0,1)=98 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,52],[1,2,36],[1,3,16],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(1,2)=36,(0,2)=52,(2,3)=75,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=52\",\"Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=104\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=104\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,52],[1,2,36],[1,3,16],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(1,2)=36,(0,2)=52,(2,3)=75,(0,1)=98]\",\"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: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,76],[0,4,75],[1,2,15],[1,3,21],[1,4,29],[2,3,92],[2,4,88],[4,5,51]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,75],[1,2,15],[1,3,21],[1,4,29],[2,3,92],[2,4,88],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,75],[1,2,15],[1,3,21],[1,4,29],[2,3,92],[2,4,88],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,75],[1,2,15],[1,3,21],[1,4,29],[2,3,92],[2,4,88],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (1,3)=21, w=36\",\"Add (1,4)=29, w=65\",\"Add (4,5)=51, w=116\",\"Add (0,4)=75, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,75],[1,2,15],[1,3,21],[1,4,29],[2,3,92],[2,4,88],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (1,3)=21 Succeeded, w=36\",\"Add (1,4)=29 Succeeded, w=65\",\"Add (4,5)=51 Succeeded, w=116\",\"Add (0,4)=75 Succeeded, w=191\",\"Add (0,2)=76 Failed, w=191\",\"Add (2,4)=88 Failed, w=191\",\"Add (2,3)=92 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,75],[1,2,15],[1,3,21],[1,4,29],[2,3,92],[2,4,88],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(1,3)=21,(1,4)=29,(4,5)=51,(0,4)=75,(0,2)=76,(2,4)=88,(2,3)=92]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=36\",\"Find(1)=1, Find(4)=4, Add (1,4)=29 Succeeded, w=65\",\"Find(4)=1, Find(5)=5, Add (4,5)=51 Succeeded, w=116\",\"Find(0)=0, Find(4)=1, Add (0,4)=75 Succeeded, w=191\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=191\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=191\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,75],[1,2,15],[1,3,21],[1,4,29],[2,3,92],[2,4,88],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(1,3)=21,(1,4)=29,(4,5)=51,(0,4)=75,(0,2)=76,(2,4)=88,(2,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=29 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=51 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=75 Succeeded, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,41],[0,4,77],[0,5,65],[0,6,35],[1,2,93],[1,4,100],[1,5,15],[2,3,20],[2,5,81],[2,6,11],[3,4,54],[3,5,64],[3,6,9],[4,5,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,77],[0,5,65],[0,6,35],[1,2,93],[1,4,100],[1,5,15],[2,3,20],[2,5,81],[2,6,11],[3,4,54],[3,5,64],[3,6,9],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,77],[0,5,65],[0,6,35],[1,2,93],[1,4,100],[1,5,15],[2,3,20],[2,5,81],[2,6,11],[3,4,54],[3,5,64],[3,6,9],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (3,4)\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,77],[0,5,65],[0,6,35],[1,2,93],[1,4,100],[1,5,15],[2,3,20],[2,5,81],[2,6,11],[3,4,54],[3,5,64],[3,6,9],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=9, w=9\",\"Add (2,6)=11, w=20\",\"Add (4,5)=11, w=31\",\"Add (1,5)=15, w=46\",\"Add (0,6)=35, w=81\",\"Add (3,4)=54, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,77],[0,5,65],[0,6,35],[1,2,93],[1,4,100],[1,5,15],[2,3,20],[2,5,81],[2,6,11],[3,4,54],[3,5,64],[3,6,9],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=9 Succeeded, w=9\",\"Add (2,6)=11 Succeeded, w=20\",\"Add (4,5)=11 Succeeded, w=31\",\"Add (1,5)=15 Succeeded, w=46\",\"Add (2,3)=20 Failed, w=46\",\"Add (0,6)=35 Succeeded, w=81\",\"Add (0,3)=41 Failed, w=81\",\"Add (3,4)=54 Succeeded, w=135\",\"Add (3,5)=64 Failed, w=135\",\"Add (0,5)=65 Failed, w=135\",\"Add (0,4)=77 Failed, w=135\",\"Add (2,5)=81 Failed, w=135\",\"Add (1,2)=93 Failed, w=135\",\"Add (1,4)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,77],[0,5,65],[0,6,35],[1,2,93],[1,4,100],[1,5,15],[2,3,20],[2,5,81],[2,6,11],[3,4,54],[3,5,64],[3,6,9],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=9,(2,6)=11,(4,5)=11,(1,5)=15,(2,3)=20,(0,6)=35,(0,3)=41,(3,4)=54,(3,5)=64,(0,5)=65,(0,4)=77,(2,5)=81,(1,2)=93,(1,4)=100]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=9\",\"Find(2)=2, Find(6)=3, Add (2,6)=11 Succeeded, w=20\",\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=31\",\"Find(1)=1, Find(5)=4, Add (1,5)=15 Succeeded, w=46\",\"Find(2)=3, Find(3)=3, Add (2,3)=20 Failed, w=46\",\"Find(0)=0, Find(6)=3, Add (0,6)=35 Succeeded, w=81\",\"Find(0)=3, Find(3)=3, Add (0,3)=41 Failed, w=81\",\"Find(3)=3, Find(4)=4, Add (3,4)=54 Succeeded, w=135\",\"Find(3)=3, Find(5)=3, Add (3,5)=64 Failed, w=135\",\"Find(0)=3, Find(5)=3, Add (0,5)=65 Failed, w=135\",\"Find(0)=3, Find(4)=3, Add (0,4)=77 Failed, w=135\",\"Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=135\",\"Find(1)=3, Find(2)=3, Add (1,2)=93 Failed, w=135\",\"Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,77],[0,5,65],[0,6,35],[1,2,93],[1,4,100],[1,5,15],[2,3,20],[2,5,81],[2,6,11],[3,4,54],[3,5,64],[3,6,9],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=9,(2,6)=11,(4,5)=11,(1,5)=15,(2,3)=20,(0,6)=35,(0,3)=41,(3,4)=54,(3,5)=64,(0,5)=65,(0,4)=77,(2,5)=81,(1,2)=93,(1,4)=100]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 4, 6: 3}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=31\",\"Parent: {0: 0, 1: 4, 2: 3, 3: 3, 4: 4, 5: 4, 6: 3}, Find(1)=1, Find(5)=4, Add (1,5)=15 Succeeded, w=46\",\"Parent: {0: 0, 1: 4, 2: 3, 3: 3, 4: 4, 5: 4, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=20 Failed, w=46\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 4, 5: 4, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=35 Succeeded, w=81\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 4, 5: 4, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=41 Failed, w=81\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=54 Succeeded, w=135\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=64 Failed, w=135\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=65 Failed, w=135\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=77 Failed, w=135\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=93 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,38],[0,5,2],[1,2,84],[1,3,23],[1,4,5],[1,5,31],[2,3,0],[2,4,0],[2,5,11],[3,5,15],[4,5,90]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,38],[0,5,2],[1,2,84],[1,3,23],[1,4,5],[1,5,31],[2,3,0],[2,4,0],[2,5,11],[3,5,15],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,38],[0,5,2],[1,2,84],[1,3,23],[1,4,5],[1,5,31],[2,3,0],[2,4,0],[2,5,11],[3,5,15],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,38],[0,5,2],[1,2,84],[1,3,23],[1,4,5],[1,5,31],[2,3,0],[2,4,0],[2,5,11],[3,5,15],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (2,4)=0, w=0\",\"Add (0,5)=2, w=2\",\"Add (1,4)=5, w=7\",\"Add (2,5)=11, w=18\"],\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,38],[0,5,2],[1,2,84],[1,3,23],[1,4,5],[1,5,31],[2,3,0],[2,4,0],[2,5,11],[3,5,15],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (2,4)=0 Succeeded, w=0\",\"Add (0,5)=2 Succeeded, w=2\",\"Add (1,4)=5 Succeeded, w=7\",\"Add (2,5)=11 Succeeded, w=18\",\"Add (3,5)=15 Failed, w=18\",\"Add (1,3)=23 Failed, w=18\",\"Add (1,5)=31 Failed, w=18\",\"Add (0,4)=38 Failed, w=18\",\"Add (1,2)=84 Failed, w=18\",\"Add (4,5)=90 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,38],[0,5,2],[1,2,84],[1,3,23],[1,4,5],[1,5,31],[2,3,0],[2,4,0],[2,5,11],[3,5,15],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=0,(0,5)=2,(1,4)=5,(2,5)=11,(3,5)=15,(1,3)=23,(1,5)=31,(0,4)=38,(1,2)=84,(4,5)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=2, Add (1,4)=5 Succeeded, w=7\",\"Find(2)=2, Find(5)=0, Add (2,5)=11 Succeeded, w=18\",\"Find(3)=2, Find(5)=2, Add (3,5)=15 Failed, w=18\",\"Find(1)=2, Find(3)=2, Add (1,3)=23 Failed, w=18\",\"Find(1)=2, Find(5)=2, Add (1,5)=31 Failed, w=18\",\"Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=18\",\"Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=18\",\"Find(4)=2, Find(5)=2, Add (4,5)=90 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,38],[0,5,2],[1,2,84],[1,3,23],[1,4,5],[1,5,31],[2,3,0],[2,4,0],[2,5,11],[3,5,15],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=0,(0,5)=2,(1,4)=5,(2,5)=11,(3,5)=15,(1,3)=23,(1,5)=31,(0,4)=38,(1,2)=84,(4,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(1)=1, Find(4)=2, Add (1,4)=5 Succeeded, w=7\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=11 Succeeded, w=18\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=15 Failed, w=18\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=23 Failed, w=18\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=31 Failed, w=18\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=18\",\"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=18\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=90 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,9],[0,2,57],[0,3,100],[1,2,20],[1,3,73],[2,3,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,57],[0,3,100],[1,2,20],[1,3,73],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,57],[0,3,100],[1,2,20],[1,3,73],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,57],[0,3,100],[1,2,20],[1,3,73],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (1,2)=20, w=29\",\"Add (2,3)=64, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,57],[0,3,100],[1,2,20],[1,3,73],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (1,2)=20 Succeeded, w=29\",\"Add (0,2)=57 Failed, w=29\",\"Add (2,3)=64 Succeeded, w=93\",\"Add (1,3)=73 Failed, w=93\",\"Add (0,3)=100 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,57],[0,3,100],[1,2,20],[1,3,73],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(1,2)=20,(0,2)=57,(2,3)=64,(1,3)=73,(0,3)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=29\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=29\",\"Find(2)=0, Find(3)=3, Add (2,3)=64 Succeeded, w=93\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=93\",\"Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,57],[0,3,100],[1,2,20],[1,3,73],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(1,2)=20,(0,2)=57,(2,3)=64,(1,3)=73,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=64 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,15],[1,2,84],[1,4,52],[2,3,37]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,15],[1,2,84],[1,4,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,15],[1,2,84],[1,4,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (1,2)\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,15],[1,2,84],[1,4,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=15, w=15\",\"Add (2,3)=37, w=52\",\"Add (1,4)=52, w=104\",\"Add (1,2)=84, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,15],[1,2,84],[1,4,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=15 Succeeded, w=15\",\"Add (2,3)=37 Succeeded, w=52\",\"Add (1,4)=52 Succeeded, w=104\",\"Add (1,2)=84 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,15],[1,2,84],[1,4,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=15,(2,3)=37,(1,4)=52,(1,2)=84]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=15\",\"Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=52\",\"Find(1)=1, Find(4)=4, Add (1,4)=52 Succeeded, w=104\",\"Find(1)=1, Find(2)=0, Add (1,2)=84 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,15],[1,2,84],[1,4,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=15,(2,3)=37,(1,4)=52,(1,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=52 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1}, Find(1)=1, Find(2)=0, Add (1,2)=84 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,84],[1,3,53],[2,3,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,84],[1,3,53],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,84],[1,3,53],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,84],[1,3,53],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=53, w=53\",\"Add (2,3)=62, w=115\",\"Add (0,3)=84, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,84],[1,3,53],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=53 Succeeded, w=53\",\"Add (2,3)=62 Succeeded, w=115\",\"Add (0,3)=84 Succeeded, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,84],[1,3,53],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=53,(2,3)=62,(0,3)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=53\",\"Find(2)=2, Find(3)=1, Add (2,3)=62 Succeeded, w=115\",\"Find(0)=0, Find(3)=1, Add (0,3)=84 Succeeded, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,84],[1,3,53],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=53,(2,3)=62,(0,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=62 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=84 Succeeded, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,22],[0,3,19],[1,2,87],[1,3,66],[1,4,72],[2,3,55],[2,4,81],[3,4,29]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,19],[1,2,87],[1,3,66],[1,4,72],[2,3,55],[2,4,81],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,19],[1,2,87],[1,3,66],[1,4,72],[2,3,55],[2,4,81],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,19],[1,2,87],[1,3,66],[1,4,72],[2,3,55],[2,4,81],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19, w=19\",\"Add (0,2)=22, w=41\",\"Add (3,4)=29, w=70\",\"Add (1,3)=66, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,19],[1,2,87],[1,3,66],[1,4,72],[2,3,55],[2,4,81],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19 Succeeded, w=19\",\"Add (0,2)=22 Succeeded, w=41\",\"Add (3,4)=29 Succeeded, w=70\",\"Add (2,3)=55 Failed, w=70\",\"Add (1,3)=66 Succeeded, w=136\",\"Add (1,4)=72 Failed, w=136\",\"Add (2,4)=81 Failed, w=136\",\"Add (1,2)=87 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,19],[1,2,87],[1,3,66],[1,4,72],[2,3,55],[2,4,81],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(0,2)=22,(3,4)=29,(2,3)=55,(1,3)=66,(1,4)=72,(2,4)=81,(1,2)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=41\",\"Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=70\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=70\",\"Find(1)=1, Find(3)=0, Add (1,3)=66 Succeeded, w=136\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=136\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,19],[1,2,87],[1,3,66],[1,4,72],[2,3,55],[2,4,81],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(0,2)=22,(3,4)=29,(2,3)=55,(1,3)=66,(1,4)=72,(2,4)=81,(1,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=66 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,35],[0,2,92],[0,4,30],[0,6,98],[1,2,95],[1,3,71],[1,4,15],[1,5,40],[2,3,81],[2,5,7],[2,6,13],[3,4,36],[3,5,23],[3,6,21],[5,6,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,92],[0,4,30],[0,6,98],[1,2,95],[1,3,71],[1,4,15],[1,5,40],[2,3,81],[2,5,7],[2,6,13],[3,4,36],[3,5,23],[3,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,92],[0,4,30],[0,6,98],[1,2,95],[1,3,71],[1,4,15],[1,5,40],[2,3,81],[2,5,7],[2,6,13],[3,4,36],[3,5,23],[3,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,92],[0,4,30],[0,6,98],[1,2,95],[1,3,71],[1,4,15],[1,5,40],[2,3,81],[2,5,7],[2,6,13],[3,4,36],[3,5,23],[3,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (2,5)=7, w=7\",\"Add (1,4)=15, w=22\",\"Add (3,6)=21, w=43\",\"Add (0,4)=30, w=73\",\"Add (3,4)=36, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,92],[0,4,30],[0,6,98],[1,2,95],[1,3,71],[1,4,15],[1,5,40],[2,3,81],[2,5,7],[2,6,13],[3,4,36],[3,5,23],[3,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (2,5)=7 Succeeded, w=7\",\"Add (2,6)=13 Failed, w=7\",\"Add (1,4)=15 Succeeded, w=22\",\"Add (3,6)=21 Succeeded, w=43\",\"Add (3,5)=23 Failed, w=43\",\"Add (0,4)=30 Succeeded, w=73\",\"Add (0,1)=35 Failed, w=73\",\"Add (3,4)=36 Succeeded, w=109\",\"Add (1,5)=40 Failed, w=109\",\"Add (1,3)=71 Failed, w=109\",\"Add (2,3)=81 Failed, w=109\",\"Add (0,2)=92 Failed, w=109\",\"Add (1,2)=95 Failed, w=109\",\"Add (0,6)=98 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,92],[0,4,30],[0,6,98],[1,2,95],[1,3,71],[1,4,15],[1,5,40],[2,3,81],[2,5,7],[2,6,13],[3,4,36],[3,5,23],[3,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(2,5)=7,(2,6)=13,(1,4)=15,(3,6)=21,(3,5)=23,(0,4)=30,(0,1)=35,(3,4)=36,(1,5)=40,(1,3)=71,(2,3)=81,(0,2)=92,(1,2)=95,(0,6)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Find(2)=5, Find(6)=5, Add (2,6)=13 Failed, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=22\",\"Find(3)=3, Find(6)=5, Add (3,6)=21 Succeeded, w=43\",\"Find(3)=5, Find(5)=5, Add (3,5)=23 Failed, w=43\",\"Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=73\",\"Find(0)=1, Find(1)=1, Add (0,1)=35 Failed, w=73\",\"Find(3)=5, Find(4)=1, Add (3,4)=36 Succeeded, w=109\",\"Find(1)=5, Find(5)=5, Add (1,5)=40 Failed, w=109\",\"Find(1)=5, Find(3)=5, Add (1,3)=71 Failed, w=109\",\"Find(2)=5, Find(3)=5, Add (2,3)=81 Failed, w=109\",\"Find(0)=5, Find(2)=5, Add (0,2)=92 Failed, w=109\",\"Find(1)=5, Find(2)=5, Add (1,2)=95 Failed, w=109\",\"Find(0)=5, Find(6)=5, Add (0,6)=98 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,92],[0,4,30],[0,6,98],[1,2,95],[1,3,71],[1,4,15],[1,5,40],[2,3,81],[2,5,7],[2,6,13],[3,4,36],[3,5,23],[3,6,21],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(2,5)=7,(2,6)=13,(1,4)=15,(3,6)=21,(3,5)=23,(0,4)=30,(0,1)=35,(3,4)=36,(1,5)=40,(1,3)=71,(2,3)=81,(0,2)=92,(1,2)=95,(0,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=13 Failed, w=7\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=21 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=23 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(0)=1, Find(1)=1, Add (0,1)=35 Failed, w=73\",\"Parent: {0: 1, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(3)=5, Find(4)=1, Add (3,4)=36 Succeeded, w=109\",\"Parent: {0: 1, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=40 Failed, w=109\",\"Parent: {0: 1, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=71 Failed, w=109\",\"Parent: {0: 1, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=81 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(0)=5, Find(2)=5, Add (0,2)=92 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(1)=5, Find(2)=5, Add (1,2)=95 Failed, w=109\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5}, Find(0)=5, Find(6)=5, Add (0,6)=98 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,93],[0,3,18],[0,4,74],[1,2,48],[1,3,58],[1,4,78],[2,3,33],[3,4,12]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,18],[0,4,74],[1,2,48],[1,3,58],[1,4,78],[2,3,33],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,18],[0,4,74],[1,2,48],[1,3,58],[1,4,78],[2,3,33],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,18],[0,4,74],[1,2,48],[1,3,58],[1,4,78],[2,3,33],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12, w=12\",\"Add (0,3)=18, w=30\",\"Add (2,3)=33, w=63\",\"Add (1,2)=48, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,18],[0,4,74],[1,2,48],[1,3,58],[1,4,78],[2,3,33],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12 Succeeded, w=12\",\"Add (0,3)=18 Succeeded, w=30\",\"Add (2,3)=33 Succeeded, w=63\",\"Add (1,2)=48 Succeeded, w=111\",\"Add (1,3)=58 Failed, w=111\",\"Add (0,4)=74 Failed, w=111\",\"Add (1,4)=78 Failed, w=111\",\"Add (0,2)=93 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,18],[0,4,74],[1,2,48],[1,3,58],[1,4,78],[2,3,33],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(0,3)=18,(2,3)=33,(1,2)=48,(1,3)=58,(0,4)=74,(1,4)=78,(0,2)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=30\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=63\",\"Find(1)=1, Find(2)=3, Add (1,2)=48 Succeeded, w=111\",\"Find(1)=3, Find(3)=3, Add (1,3)=58 Failed, w=111\",\"Find(0)=3, Find(4)=3, Add (0,4)=74 Failed, w=111\",\"Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=111\",\"Find(0)=3, Find(2)=3, Add (0,2)=93 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,93],[0,3,18],[0,4,74],[1,2,48],[1,3,58],[1,4,78],[2,3,33],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(0,3)=18,(2,3)=33,(1,2)=48,(1,3)=58,(0,4)=74,(1,4)=78,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=30\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(2)=3, Add (1,2)=48 Succeeded, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=58 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=74 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=93 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,33],[0,3,88],[0,4,18],[0,5,58],[1,2,90],[1,3,43],[1,4,60],[1,5,27],[2,3,51],[2,4,94],[2,5,99],[3,4,50],[4,5,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,33],[0,3,88],[0,4,18],[0,5,58],[1,2,90],[1,3,43],[1,4,60],[1,5,27],[2,3,51],[2,4,94],[2,5,99],[3,4,50],[4,5,72]]}",
"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\":[[0,1,49],[0,2,33],[0,3,88],[0,4,18],[0,5,58],[1,2,90],[1,3,43],[1,4,60],[1,5,27],[2,3,51],[2,4,94],[2,5,99],[3,4,50],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,33],[0,3,88],[0,4,18],[0,5,58],[1,2,90],[1,3,43],[1,4,60],[1,5,27],[2,3,51],[2,4,94],[2,5,99],[3,4,50],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=18, w=18\",\"Add (1,5)=27, w=45\",\"Add (0,2)=33, w=78\",\"Add (1,3)=43, w=121\",\"Add (0,1)=49, 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\":[[0,1,49],[0,2,33],[0,3,88],[0,4,18],[0,5,58],[1,2,90],[1,3,43],[1,4,60],[1,5,27],[2,3,51],[2,4,94],[2,5,99],[3,4,50],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=18 Succeeded, w=18\",\"Add (1,5)=27 Succeeded, w=45\",\"Add (0,2)=33 Succeeded, w=78\",\"Add (1,3)=43 Succeeded, w=121\",\"Add (0,1)=49 Succeeded, w=170\",\"Add (3,4)=50 Failed, w=170\",\"Add (2,3)=51 Failed, w=170\",\"Add (0,5)=58 Failed, w=170\",\"Add (1,4)=60 Failed, w=170\",\"Add (4,5)=72 Failed, w=170\",\"Add (0,3)=88 Failed, w=170\",\"Add (1,2)=90 Failed, w=170\",\"Add (2,4)=94 Failed, w=170\",\"Add (2,5)=99 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\":[[0,1,49],[0,2,33],[0,3,88],[0,4,18],[0,5,58],[1,2,90],[1,3,43],[1,4,60],[1,5,27],[2,3,51],[2,4,94],[2,5,99],[3,4,50],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=18,(1,5)=27,(0,2)=33,(1,3)=43,(0,1)=49,(3,4)=50,(2,3)=51,(0,5)=58,(1,4)=60,(4,5)=72,(0,3)=88,(1,2)=90,(2,4)=94,(2,5)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=18\",\"Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=45\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=78\",\"Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=121\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=170\",\"Find(3)=0, Find(4)=0, Add (3,4)=50 Failed, w=170\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=170\",\"Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=170\",\"Find(1)=0, Find(4)=0, Add (1,4)=60 Failed, w=170\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=170\",\"Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=170\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=170\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=170\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 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\":[[0,1,49],[0,2,33],[0,3,88],[0,4,18],[0,5,58],[1,2,90],[1,3,43],[1,4,60],[1,5,27],[2,3,51],[2,4,94],[2,5,99],[3,4,50],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=18,(1,5)=27,(0,2)=33,(1,3)=43,(0,1)=49,(3,4)=50,(2,3)=51,(0,5)=58,(1,4)=60,(4,5)=72,(0,3)=88,(1,2)=90,(2,4)=94,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(3)=0, Find(4)=0, Add (3,4)=50 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=60 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,75],[0,3,31],[0,5,79],[1,2,37],[1,3,8],[1,4,7],[1,5,78],[2,3,92],[2,4,7],[2,5,53],[3,4,72],[3,5,45],[4,5,61]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,31],[0,5,79],[1,2,37],[1,3,8],[1,4,7],[1,5,78],[2,3,92],[2,4,7],[2,5,53],[3,4,72],[3,5,45],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,31],[0,5,79],[1,2,37],[1,3,8],[1,4,7],[1,5,78],[2,3,92],[2,4,7],[2,5,53],[3,4,72],[3,5,45],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,31],[0,5,79],[1,2,37],[1,3,8],[1,4,7],[1,5,78],[2,3,92],[2,4,7],[2,5,53],[3,4,72],[3,5,45],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7, w=7\",\"Add (2,4)=7, w=14\",\"Add (1,3)=8, w=22\",\"Add (0,3)=31, w=53\",\"Add (3,5)=45, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,31],[0,5,79],[1,2,37],[1,3,8],[1,4,7],[1,5,78],[2,3,92],[2,4,7],[2,5,53],[3,4,72],[3,5,45],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7 Succeeded, w=7\",\"Add (2,4)=7 Succeeded, w=14\",\"Add (1,3)=8 Succeeded, w=22\",\"Add (0,3)=31 Succeeded, w=53\",\"Add (1,2)=37 Failed, w=53\",\"Add (3,5)=45 Succeeded, w=98\",\"Add (2,5)=53 Failed, w=98\",\"Add (4,5)=61 Failed, w=98\",\"Add (3,4)=72 Failed, w=98\",\"Add (0,2)=75 Failed, w=98\",\"Add (1,5)=78 Failed, w=98\",\"Add (0,5)=79 Failed, w=98\",\"Add (2,3)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,31],[0,5,79],[1,2,37],[1,3,8],[1,4,7],[1,5,78],[2,3,92],[2,4,7],[2,5,53],[3,4,72],[3,5,45],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7,(2,4)=7,(1,3)=8,(0,3)=31,(1,2)=37,(3,5)=45,(2,5)=53,(4,5)=61,(3,4)=72,(0,2)=75,(1,5)=78,(0,5)=79,(2,3)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Find(2)=2, Find(4)=1, Add (2,4)=7 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=22\",\"Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=53\",\"Find(1)=1, Find(2)=1, Add (1,2)=37 Failed, w=53\",\"Find(3)=1, Find(5)=5, Add (3,5)=45 Succeeded, w=98\",\"Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=98\",\"Find(4)=1, Find(5)=1, Add (4,5)=61 Failed, w=98\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=98\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=98\",\"Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=98\",\"Find(0)=1, Find(5)=1, Add (0,5)=79 Failed, w=98\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,31],[0,5,79],[1,2,37],[1,3,8],[1,4,7],[1,5,78],[2,3,92],[2,4,7],[2,5,53],[3,4,72],[3,5,45],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7,(2,4)=7,(1,3)=8,(0,3)=31,(1,2)=37,(3,5)=45,(2,5)=53,(4,5)=61,(3,4)=72,(0,2)=75,(1,5)=78,(0,5)=79,(2,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(2)=1, Add (1,2)=37 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=45 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=61 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=98\",\"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=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,1],[0,3,75],[2,3,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,75],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,75],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,75],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (2,3)=38, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,75],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (2,3)=38 Succeeded, w=39\",\"Add (0,3)=75 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,75],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(2,3)=38,(0,3)=75]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(2)=0, Find(3)=3, Add (2,3)=38 Succeeded, w=39\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,75],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(2,3)=38,(0,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=38 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,5],[0,3,55],[0,4,50],[0,5,82],[1,2,11],[1,3,33],[1,4,36],[1,5,16],[2,5,3],[3,4,43],[3,5,40]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,55],[0,4,50],[0,5,82],[1,2,11],[1,3,33],[1,4,36],[1,5,16],[2,5,3],[3,4,43],[3,5,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,55],[0,4,50],[0,5,82],[1,2,11],[1,3,33],[1,4,36],[1,5,16],[2,5,3],[3,4,43],[3,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,55],[0,4,50],[0,5,82],[1,2,11],[1,3,33],[1,4,36],[1,5,16],[2,5,3],[3,4,43],[3,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (0,1)=5, w=8\",\"Add (1,2)=11, w=19\",\"Add (1,3)=33, w=52\",\"Add (1,4)=36, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,55],[0,4,50],[0,5,82],[1,2,11],[1,3,33],[1,4,36],[1,5,16],[2,5,3],[3,4,43],[3,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (0,1)=5 Succeeded, w=8\",\"Add (1,2)=11 Succeeded, w=19\",\"Add (1,5)=16 Failed, w=19\",\"Add (1,3)=33 Succeeded, w=52\",\"Add (1,4)=36 Succeeded, w=88\",\"Add (3,5)=40 Failed, w=88\",\"Add (3,4)=43 Failed, w=88\",\"Add (0,4)=50 Failed, w=88\",\"Add (0,3)=55 Failed, w=88\",\"Add (0,5)=82 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,55],[0,4,50],[0,5,82],[1,2,11],[1,3,33],[1,4,36],[1,5,16],[2,5,3],[3,4,43],[3,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,1)=5,(1,2)=11,(1,5)=16,(1,3)=33,(1,4)=36,(3,5)=40,(3,4)=43,(0,4)=50,(0,3)=55,(0,5)=82]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=8\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=19\",\"Find(1)=0, Find(5)=0, Add (1,5)=16 Failed, w=19\",\"Find(1)=0, Find(3)=3, Add (1,3)=33 Succeeded, w=52\",\"Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=88\",\"Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=88\",\"Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=88\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=88\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=88\",\"Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,55],[0,4,50],[0,5,82],[1,2,11],[1,3,33],[1,4,36],[1,5,16],[2,5,3],[3,4,43],[3,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,1)=5,(1,2)=11,(1,5)=16,(1,3)=33,(1,4)=36,(3,5)=40,(3,4)=43,(0,4)=50,(0,3)=55,(0,5)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=16 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=33 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,2,51],[0,3,4],[0,4,29],[1,2,73],[1,3,15],[1,4,8],[2,4,3],[3,4,49]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,51],[0,3,4],[0,4,29],[1,2,73],[1,3,15],[1,4,8],[2,4,3],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,51],[0,3,4],[0,4,29],[1,2,73],[1,3,15],[1,4,8],[2,4,3],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,51],[0,3,4],[0,4,29],[1,2,73],[1,3,15],[1,4,8],[2,4,3],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (0,3)=4, w=7\",\"Add (1,4)=8, w=15\",\"Add (1,3)=15, w=30\"],\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,51],[0,3,4],[0,4,29],[1,2,73],[1,3,15],[1,4,8],[2,4,3],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (0,3)=4 Succeeded, w=7\",\"Add (1,4)=8 Succeeded, w=15\",\"Add (1,3)=15 Succeeded, w=30\",\"Add (0,4)=29 Failed, w=30\",\"Add (0,1)=38 Failed, w=30\",\"Add (3,4)=49 Failed, w=30\",\"Add (0,2)=51 Failed, w=30\",\"Add (1,2)=73 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,51],[0,3,4],[0,4,29],[1,2,73],[1,3,15],[1,4,8],[2,4,3],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,3)=4,(1,4)=8,(1,3)=15,(0,4)=29,(0,1)=38,(3,4)=49,(0,2)=51,(1,2)=73]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=7\",\"Find(1)=1, Find(4)=2, Add (1,4)=8 Succeeded, w=15\",\"Find(1)=2, Find(3)=0, Add (1,3)=15 Succeeded, w=30\",\"Find(0)=2, Find(4)=2, Add (0,4)=29 Failed, w=30\",\"Find(0)=2, Find(1)=2, Add (0,1)=38 Failed, w=30\",\"Find(3)=2, Find(4)=2, Add (3,4)=49 Failed, w=30\",\"Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=30\",\"Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,51],[0,3,4],[0,4,29],[1,2,73],[1,3,15],[1,4,8],[2,4,3],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,3)=4,(1,4)=8,(1,3)=15,(0,4)=29,(0,1)=38,(3,4)=49,(0,2)=51,(1,2)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=8 Succeeded, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=2, Find(3)=0, Add (1,3)=15 Succeeded, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=29 Failed, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=38 Failed, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=49 Failed, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,47],[0,4,98],[0,6,10],[1,5,39],[2,3,59],[2,6,27],[2,7,92],[3,4,70],[3,6,63],[3,7,47],[4,5,54],[4,6,91],[4,7,8],[5,6,78],[5,7,84],[6,7,5]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,98],[0,6,10],[1,5,39],[2,3,59],[2,6,27],[2,7,92],[3,4,70],[3,6,63],[3,7,47],[4,5,54],[4,6,91],[4,7,8],[5,6,78],[5,7,84],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,98],[0,6,10],[1,5,39],[2,3,59],[2,6,27],[2,7,92],[3,4,70],[3,6,63],[3,7,47],[4,5,54],[4,6,91],[4,7,8],[5,6,78],[5,7,84],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (4,7)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (3,7)\",\"Add (4,5)\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,98],[0,6,10],[1,5,39],[2,3,59],[2,6,27],[2,7,92],[3,4,70],[3,6,63],[3,7,47],[4,5,54],[4,6,91],[4,7,8],[5,6,78],[5,7,84],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=5, w=5\",\"Add (4,7)=8, w=13\",\"Add (0,6)=10, w=23\",\"Add (2,6)=27, w=50\",\"Add (1,5)=39, w=89\",\"Add (3,7)=47, w=136\",\"Add (4,5)=54, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,98],[0,6,10],[1,5,39],[2,3,59],[2,6,27],[2,7,92],[3,4,70],[3,6,63],[3,7,47],[4,5,54],[4,6,91],[4,7,8],[5,6,78],[5,7,84],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=5 Succeeded, w=5\",\"Add (4,7)=8 Succeeded, w=13\",\"Add (0,6)=10 Succeeded, w=23\",\"Add (2,6)=27 Succeeded, w=50\",\"Add (1,5)=39 Succeeded, w=89\",\"Add (0,2)=47 Failed, w=89\",\"Add (3,7)=47 Succeeded, w=136\",\"Add (4,5)=54 Succeeded, w=190\",\"Add (2,3)=59 Failed, w=190\",\"Add (3,6)=63 Failed, w=190\",\"Add (3,4)=70 Failed, w=190\",\"Add (5,6)=78 Failed, w=190\",\"Add (5,7)=84 Failed, w=190\",\"Add (4,6)=91 Failed, w=190\",\"Add (2,7)=92 Failed, w=190\",\"Add (0,4)=98 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,98],[0,6,10],[1,5,39],[2,3,59],[2,6,27],[2,7,92],[3,4,70],[3,6,63],[3,7,47],[4,5,54],[4,6,91],[4,7,8],[5,6,78],[5,7,84],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=5,(4,7)=8,(0,6)=10,(2,6)=27,(1,5)=39,(0,2)=47,(3,7)=47,(4,5)=54,(2,3)=59,(3,6)=63,(3,4)=70,(5,6)=78,(5,7)=84,(4,6)=91,(2,7)=92,(0,4)=98]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=5 Succeeded, w=5\",\"Find(4)=4, Find(7)=6, Add (4,7)=8 Succeeded, w=13\",\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=23\",\"Find(2)=2, Find(6)=6, Add (2,6)=27 Succeeded, w=50\",\"Find(1)=1, Find(5)=5, Add (1,5)=39 Succeeded, w=89\",\"Find(0)=6, Find(2)=6, Add (0,2)=47 Failed, w=89\",\"Find(3)=3, Find(7)=6, Add (3,7)=47 Succeeded, w=136\",\"Find(4)=6, Find(5)=1, Add (4,5)=54 Succeeded, w=190\",\"Find(2)=6, Find(3)=6, Add (2,3)=59 Failed, w=190\",\"Find(3)=6, Find(6)=6, Add (3,6)=63 Failed, w=190\",\"Find(3)=6, Find(4)=6, Add (3,4)=70 Failed, w=190\",\"Find(5)=6, Find(6)=6, Add (5,6)=78 Failed, w=190\",\"Find(5)=6, Find(7)=6, Add (5,7)=84 Failed, w=190\",\"Find(4)=6, Find(6)=6, Add (4,6)=91 Failed, w=190\",\"Find(2)=6, Find(7)=6, Add (2,7)=92 Failed, w=190\",\"Find(0)=6, Find(4)=6, Add (0,4)=98 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,47],[0,4,98],[0,6,10],[1,5,39],[2,3,59],[2,6,27],[2,7,92],[3,4,70],[3,6,63],[3,7,47],[4,5,54],[4,6,91],[4,7,8],[5,6,78],[5,7,84],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=5,(4,7)=8,(0,6)=10,(2,6)=27,(1,5)=39,(0,2)=47,(3,7)=47,(4,5)=54,(2,3)=59,(3,6)=63,(3,4)=70,(5,6)=78,(5,7)=84,(4,6)=91,(2,7)=92,(0,4)=98]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 6, 5: 5, 6: 6, 7: 6}, Find(4)=4, Find(7)=6, Add (4,7)=8 Succeeded, w=13\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 6, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=23\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 3, 4: 6, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=27 Succeeded, w=50\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 3, 4: 6, 5: 1, 6: 6, 7: 6}, Find(1)=1, Find(5)=5, Add (1,5)=39 Succeeded, w=89\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 3, 4: 6, 5: 1, 6: 6, 7: 6}, Find(0)=6, Find(2)=6, Add (0,2)=47 Failed, w=89\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 6, 4: 6, 5: 1, 6: 6, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=47 Succeeded, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 1, 6: 6, 7: 6}, Find(4)=6, Find(5)=1, Add (4,5)=54 Succeeded, w=190\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 1, 6: 6, 7: 6}, Find(2)=6, Find(3)=6, Add (2,3)=59 Failed, w=190\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 1, 6: 6, 7: 6}, Find(3)=6, Find(6)=6, Add (3,6)=63 Failed, w=190\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 1, 6: 6, 7: 6}, Find(3)=6, Find(4)=6, Add (3,4)=70 Failed, w=190\",\"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)=78 Failed, w=190\",\"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)=84 Failed, w=190\",\"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)=91 Failed, w=190\",\"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)=92 Failed, w=190\",\"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)=98 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,2,33],[0,3,79],[0,4,6],[0,6,89],[1,2,1],[1,3,4],[1,4,54],[1,5,89],[1,6,71],[2,3,7],[2,4,49],[2,5,81],[2,6,54],[3,5,46]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,33],[0,3,79],[0,4,6],[0,6,89],[1,2,1],[1,3,4],[1,4,54],[1,5,89],[1,6,71],[2,3,7],[2,4,49],[2,5,81],[2,6,54],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,33],[0,3,79],[0,4,6],[0,6,89],[1,2,1],[1,3,4],[1,4,54],[1,5,89],[1,6,71],[2,3,7],[2,4,49],[2,5,81],[2,6,54],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,6)\"],\"Answer\":130}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,33],[0,3,79],[0,4,6],[0,6,89],[1,2,1],[1,3,4],[1,4,54],[1,5,89],[1,6,71],[2,3,7],[2,4,49],[2,5,81],[2,6,54],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (1,3)=4, w=5\",\"Add (0,4)=6, w=11\",\"Add (0,1)=19, w=30\",\"Add (3,5)=46, w=76\",\"Add (2,6)=54, w=130\"],\"Answer\":130}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,33],[0,3,79],[0,4,6],[0,6,89],[1,2,1],[1,3,4],[1,4,54],[1,5,89],[1,6,71],[2,3,7],[2,4,49],[2,5,81],[2,6,54],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (1,3)=4 Succeeded, w=5\",\"Add (0,4)=6 Succeeded, w=11\",\"Add (2,3)=7 Failed, w=11\",\"Add (0,1)=19 Succeeded, w=30\",\"Add (0,2)=33 Failed, w=30\",\"Add (3,5)=46 Succeeded, w=76\",\"Add (2,4)=49 Failed, w=76\",\"Add (1,4)=54 Failed, w=76\",\"Add (2,6)=54 Succeeded, w=130\",\"Add (1,6)=71 Failed, w=130\",\"Add (0,3)=79 Failed, w=130\",\"Add (2,5)=81 Failed, w=130\",\"Add (0,6)=89 Failed, w=130\",\"Add (1,5)=89 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,33],[0,3,79],[0,4,6],[0,6,89],[1,2,1],[1,3,4],[1,4,54],[1,5,89],[1,6,71],[2,3,7],[2,4,49],[2,5,81],[2,6,54],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=4,(0,4)=6,(2,3)=7,(0,1)=19,(0,2)=33,(3,5)=46,(2,4)=49,(1,4)=54,(2,6)=54,(1,6)=71,(0,3)=79,(2,5)=81,(0,6)=89,(1,5)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=11\",\"Find(2)=1, Find(3)=1, Add (2,3)=7 Failed, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Find(0)=0, Find(2)=0, Add (0,2)=33 Failed, w=30\",\"Find(3)=0, Find(5)=5, Add (3,5)=46 Succeeded, w=76\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=76\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=76\",\"Find(2)=0, Find(6)=6, Add (2,6)=54 Succeeded, w=130\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=130\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=130\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=130\",\"Find(0)=0, Find(6)=0, Add (0,6)=89 Failed, w=130\",\"Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,33],[0,3,79],[0,4,6],[0,6,89],[1,2,1],[1,3,4],[1,4,54],[1,5,89],[1,6,71],[2,3,7],[2,4,49],[2,5,81],[2,6,54],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(1,3)=4,(0,4)=6,(2,3)=7,(0,1)=19,(0,2)=33,(3,5)=46,(2,4)=49,(1,4)=54,(2,6)=54,(1,6)=71,(0,3)=79,(2,5)=81,(0,6)=89,(1,5)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 6}, Find(2)=1, Find(3)=1, Add (2,3)=7 Failed, w=11\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(2)=0, Add (0,2)=33 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(5)=5, Add (3,5)=46 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=54 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=89 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,1],[0,2,50],[0,4,73],[0,5,24],[0,6,35],[1,2,98],[1,3,58],[1,4,91],[1,5,41],[2,3,9],[2,4,99],[2,5,15],[2,6,19],[3,4,26],[3,5,49],[3,6,44],[4,5,46],[4,6,22],[5,6,17]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,50],[0,4,73],[0,5,24],[0,6,35],[1,2,98],[1,3,58],[1,4,91],[1,5,41],[2,3,9],[2,4,99],[2,5,15],[2,6,19],[3,4,26],[3,5,49],[3,6,44],[4,5,46],[4,6,22],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,50],[0,4,73],[0,5,24],[0,6,35],[1,2,98],[1,3,58],[1,4,91],[1,5,41],[2,3,9],[2,4,99],[2,5,15],[2,6,19],[3,4,26],[3,5,49],[3,6,44],[4,5,46],[4,6,22],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (4,6)\",\"Add (0,5)\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,50],[0,4,73],[0,5,24],[0,6,35],[1,2,98],[1,3,58],[1,4,91],[1,5,41],[2,3,9],[2,4,99],[2,5,15],[2,6,19],[3,4,26],[3,5,49],[3,6,44],[4,5,46],[4,6,22],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (2,3)=9, w=10\",\"Add (2,5)=15, w=25\",\"Add (5,6)=17, w=42\",\"Add (4,6)=22, w=64\",\"Add (0,5)=24, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,50],[0,4,73],[0,5,24],[0,6,35],[1,2,98],[1,3,58],[1,4,91],[1,5,41],[2,3,9],[2,4,99],[2,5,15],[2,6,19],[3,4,26],[3,5,49],[3,6,44],[4,5,46],[4,6,22],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (2,3)=9 Succeeded, w=10\",\"Add (2,5)=15 Succeeded, w=25\",\"Add (5,6)=17 Succeeded, w=42\",\"Add (2,6)=19 Failed, w=42\",\"Add (4,6)=22 Succeeded, w=64\",\"Add (0,5)=24 Succeeded, w=88\",\"Add (3,4)=26 Failed, w=88\",\"Add (0,6)=35 Failed, w=88\",\"Add (1,5)=41 Failed, w=88\",\"Add (3,6)=44 Failed, w=88\",\"Add (4,5)=46 Failed, w=88\",\"Add (3,5)=49 Failed, w=88\",\"Add (0,2)=50 Failed, w=88\",\"Add (1,3)=58 Failed, w=88\",\"Add (0,4)=73 Failed, w=88\",\"Add (1,4)=91 Failed, w=88\",\"Add (1,2)=98 Failed, w=88\",\"Add (2,4)=99 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,50],[0,4,73],[0,5,24],[0,6,35],[1,2,98],[1,3,58],[1,4,91],[1,5,41],[2,3,9],[2,4,99],[2,5,15],[2,6,19],[3,4,26],[3,5,49],[3,6,44],[4,5,46],[4,6,22],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(2,3)=9,(2,5)=15,(5,6)=17,(2,6)=19,(4,6)=22,(0,5)=24,(3,4)=26,(0,6)=35,(1,5)=41,(3,6)=44,(4,5)=46,(3,5)=49,(0,2)=50,(1,3)=58,(0,4)=73,(1,4)=91,(1,2)=98,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=10\",\"Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=25\",\"Find(5)=2, Find(6)=6, Add (5,6)=17 Succeeded, w=42\",\"Find(2)=2, Find(6)=2, Add (2,6)=19 Failed, w=42\",\"Find(4)=4, Find(6)=2, Add (4,6)=22 Succeeded, w=64\",\"Find(0)=0, Find(5)=2, Add (0,5)=24 Succeeded, w=88\",\"Find(3)=0, Find(4)=0, Add (3,4)=26 Failed, w=88\",\"Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=88\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=88\",\"Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=88\",\"Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=88\",\"Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=88\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=88\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,50],[0,4,73],[0,5,24],[0,6,35],[1,2,98],[1,3,58],[1,4,91],[1,5,41],[2,3,9],[2,4,99],[2,5,15],[2,6,19],[3,4,26],[3,5,49],[3,6,44],[4,5,46],[4,6,22],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(2,3)=9,(2,5)=15,(5,6)=17,(2,6)=19,(4,6)=22,(0,5)=24,(3,4)=26,(0,6)=35,(1,5)=41,(3,6)=44,(4,5)=46,(3,5)=49,(0,2)=50,(1,3)=58,(0,4)=73,(1,4)=91,(1,2)=98,(2,4)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=17 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=19 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=22 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(5)=2, Add (0,5)=24 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 2}, Find(3)=0, Find(4)=0, Add (3,4)=26 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,89],[0,3,43],[0,4,12],[0,5,55],[0,6,37],[1,2,4],[1,4,47],[1,5,27],[1,6,84],[2,4,90],[2,6,11],[3,4,58],[3,5,13],[3,6,78],[4,5,69],[4,6,8]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,43],[0,4,12],[0,5,55],[0,6,37],[1,2,4],[1,4,47],[1,5,27],[1,6,84],[2,4,90],[2,6,11],[3,4,58],[3,5,13],[3,6,78],[4,5,69],[4,6,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,43],[0,4,12],[0,5,55],[0,6,37],[1,2,4],[1,4,47],[1,5,27],[1,6,84],[2,4,90],[2,6,11],[3,4,58],[3,5,13],[3,6,78],[4,5,69],[4,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,6)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,5)\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,43],[0,4,12],[0,5,55],[0,6,37],[1,2,4],[1,4,47],[1,5,27],[1,6,84],[2,4,90],[2,6,11],[3,4,58],[3,5,13],[3,6,78],[4,5,69],[4,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (4,6)=8, w=12\",\"Add (2,6)=11, w=23\",\"Add (0,4)=12, w=35\",\"Add (3,5)=13, w=48\",\"Add (1,5)=27, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,43],[0,4,12],[0,5,55],[0,6,37],[1,2,4],[1,4,47],[1,5,27],[1,6,84],[2,4,90],[2,6,11],[3,4,58],[3,5,13],[3,6,78],[4,5,69],[4,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (4,6)=8 Succeeded, w=12\",\"Add (2,6)=11 Succeeded, w=23\",\"Add (0,4)=12 Succeeded, w=35\",\"Add (3,5)=13 Succeeded, w=48\",\"Add (1,5)=27 Succeeded, w=75\",\"Add (0,6)=37 Failed, w=75\",\"Add (0,3)=43 Failed, w=75\",\"Add (1,4)=47 Failed, w=75\",\"Add (0,5)=55 Failed, w=75\",\"Add (3,4)=58 Failed, w=75\",\"Add (4,5)=69 Failed, w=75\",\"Add (3,6)=78 Failed, w=75\",\"Add (1,6)=84 Failed, w=75\",\"Add (0,1)=89 Failed, w=75\",\"Add (2,4)=90 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,43],[0,4,12],[0,5,55],[0,6,37],[1,2,4],[1,4,47],[1,5,27],[1,6,84],[2,4,90],[2,6,11],[3,4,58],[3,5,13],[3,6,78],[4,5,69],[4,6,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(4,6)=8,(2,6)=11,(0,4)=12,(3,5)=13,(1,5)=27,(0,6)=37,(0,3)=43,(1,4)=47,(0,5)=55,(3,4)=58,(4,5)=69,(3,6)=78,(1,6)=84,(0,1)=89,(2,4)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=12\",\"Find(2)=1, Find(6)=4, Add (2,6)=11 Succeeded, w=23\",\"Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=35\",\"Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=48\",\"Find(1)=1, Find(5)=3, Add (1,5)=27 Succeeded, w=75\",\"Find(0)=1, Find(6)=1, Add (0,6)=37 Failed, w=75\",\"Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=75\",\"Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=75\",\"Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=75\",\"Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=75\",\"Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=75\",\"Find(3)=1, Find(6)=1, Add (3,6)=78 Failed, w=75\",\"Find(1)=1, Find(6)=1, Add (1,6)=84 Failed, w=75\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=75\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,3,43],[0,4,12],[0,5,55],[0,6,37],[1,2,4],[1,4,47],[1,5,27],[1,6,84],[2,4,90],[2,6,11],[3,4,58],[3,5,13],[3,6,78],[4,5,69],[4,6,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(4,6)=8,(2,6)=11,(0,4)=12,(3,5)=13,(1,5)=27,(0,6)=37,(0,3)=43,(1,4)=47,(0,5)=55,(3,4)=58,(4,5)=69,(3,6)=78,(1,6)=84,(0,1)=89,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 4}, Find(2)=1, Find(6)=4, Add (2,6)=11 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 4}, Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 4}, Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 4}, Find(1)=1, Find(5)=3, Add (1,5)=27 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=37 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=78 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=84 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,15],[0,2,54],[0,3,72],[0,4,17],[0,6,81],[1,2,59],[1,3,21],[1,4,94],[2,3,40],[2,5,87],[2,6,37],[3,4,32],[3,5,89],[3,6,44],[4,5,24],[4,6,65],[5,6,5]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,54],[0,3,72],[0,4,17],[0,6,81],[1,2,59],[1,3,21],[1,4,94],[2,3,40],[2,5,87],[2,6,37],[3,4,32],[3,5,89],[3,6,44],[4,5,24],[4,6,65],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,54],[0,3,72],[0,4,17],[0,6,81],[1,2,59],[1,3,21],[1,4,94],[2,3,40],[2,5,87],[2,6,37],[3,4,32],[3,5,89],[3,6,44],[4,5,24],[4,6,65],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (2,6)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,54],[0,3,72],[0,4,17],[0,6,81],[1,2,59],[1,3,21],[1,4,94],[2,3,40],[2,5,87],[2,6,37],[3,4,32],[3,5,89],[3,6,44],[4,5,24],[4,6,65],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=5, w=5\",\"Add (0,1)=15, w=20\",\"Add (0,4)=17, w=37\",\"Add (1,3)=21, w=58\",\"Add (4,5)=24, w=82\",\"Add (2,6)=37, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,54],[0,3,72],[0,4,17],[0,6,81],[1,2,59],[1,3,21],[1,4,94],[2,3,40],[2,5,87],[2,6,37],[3,4,32],[3,5,89],[3,6,44],[4,5,24],[4,6,65],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=5 Succeeded, w=5\",\"Add (0,1)=15 Succeeded, w=20\",\"Add (0,4)=17 Succeeded, w=37\",\"Add (1,3)=21 Succeeded, w=58\",\"Add (4,5)=24 Succeeded, w=82\",\"Add (3,4)=32 Failed, w=82\",\"Add (2,6)=37 Succeeded, w=119\",\"Add (2,3)=40 Failed, w=119\",\"Add (3,6)=44 Failed, w=119\",\"Add (0,2)=54 Failed, w=119\",\"Add (1,2)=59 Failed, w=119\",\"Add (4,6)=65 Failed, w=119\",\"Add (0,3)=72 Failed, w=119\",\"Add (0,6)=81 Failed, w=119\",\"Add (2,5)=87 Failed, w=119\",\"Add (3,5)=89 Failed, w=119\",\"Add (1,4)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,54],[0,3,72],[0,4,17],[0,6,81],[1,2,59],[1,3,21],[1,4,94],[2,3,40],[2,5,87],[2,6,37],[3,4,32],[3,5,89],[3,6,44],[4,5,24],[4,6,65],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=5,(0,1)=15,(0,4)=17,(1,3)=21,(4,5)=24,(3,4)=32,(2,6)=37,(2,3)=40,(3,6)=44,(0,2)=54,(1,2)=59,(4,6)=65,(0,3)=72,(0,6)=81,(2,5)=87,(3,5)=89,(1,4)=94]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=20\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=37\",\"Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=58\",\"Find(4)=0, Find(5)=5, Add (4,5)=24 Succeeded, w=82\",\"Find(3)=0, Find(4)=0, Add (3,4)=32 Failed, w=82\",\"Find(2)=2, Find(6)=0, Add (2,6)=37 Succeeded, w=119\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=119\",\"Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=119\",\"Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=119\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=119\",\"Find(4)=0, Find(6)=0, Add (4,6)=65 Failed, w=119\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=119\",\"Find(0)=0, Find(6)=0, Add (0,6)=81 Failed, w=119\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=119\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=119\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,54],[0,3,72],[0,4,17],[0,6,81],[1,2,59],[1,3,21],[1,4,94],[2,3,40],[2,5,87],[2,6,37],[3,4,32],[3,5,89],[3,6,44],[4,5,24],[4,6,65],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=5,(0,1)=15,(0,4)=17,(1,3)=21,(4,5)=24,(3,4)=32,(2,6)=37,(2,3)=40,(3,6)=44,(0,2)=54,(1,2)=59,(4,6)=65,(0,3)=72,(0,6)=81,(2,5)=87,(3,5)=89,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 5}, Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(4)=0, Find(5)=5, Add (4,5)=24 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(4)=0, Add (3,4)=32 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=37 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=65 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=81 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,56],[0,3,40],[0,4,79],[0,5,55],[1,5,0],[2,3,65],[2,4,90],[3,5,60],[4,5,24]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,56],[0,3,40],[0,4,79],[0,5,55],[1,5,0],[2,3,65],[2,4,90],[3,5,60],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,56],[0,3,40],[0,4,79],[0,5,55],[1,5,0],[2,3,65],[2,4,90],[3,5,60],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,56],[0,3,40],[0,4,79],[0,5,55],[1,5,0],[2,3,65],[2,4,90],[3,5,60],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (4,5)=24, w=24\",\"Add (0,1)=38, w=62\",\"Add (0,3)=40, w=102\",\"Add (0,2)=56, w=158\"],\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,56],[0,3,40],[0,4,79],[0,5,55],[1,5,0],[2,3,65],[2,4,90],[3,5,60],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (4,5)=24 Succeeded, w=24\",\"Add (0,1)=38 Succeeded, w=62\",\"Add (0,3)=40 Succeeded, w=102\",\"Add (0,5)=55 Failed, w=102\",\"Add (0,2)=56 Succeeded, w=158\",\"Add (3,5)=60 Failed, w=158\",\"Add (2,3)=65 Failed, w=158\",\"Add (0,4)=79 Failed, w=158\",\"Add (2,4)=90 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,56],[0,3,40],[0,4,79],[0,5,55],[1,5,0],[2,3,65],[2,4,90],[3,5,60],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(4,5)=24,(0,1)=38,(0,3)=40,(0,5)=55,(0,2)=56,(3,5)=60,(2,3)=65,(0,4)=79,(2,4)=90]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=1, Add (4,5)=24 Succeeded, w=24\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=62\",\"Find(0)=1, Find(3)=3, Add (0,3)=40 Succeeded, w=102\",\"Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=102\",\"Find(0)=1, Find(2)=2, Add (0,2)=56 Succeeded, w=158\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=158\",\"Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=158\",\"Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=158\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,56],[0,3,40],[0,4,79],[0,5,55],[1,5,0],[2,3,65],[2,4,90],[3,5,60],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(4,5)=24,(0,1)=38,(0,3)=40,(0,5)=55,(0,2)=56,(3,5)=60,(2,3)=65,(0,4)=79,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=24 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=3, Add (0,3)=40 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=2, Add (0,2)=56 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,72],[0,3,21],[0,6,69],[0,7,89],[1,2,71],[1,3,9],[1,4,29],[1,5,43],[1,6,26],[2,3,13],[2,4,12],[2,5,65],[2,6,64],[2,7,8],[3,4,47],[3,5,22],[3,6,5],[3,7,85],[4,5,84],[4,6,86],[4,7,12],[5,6,37],[5,7,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,72],[0,3,21],[0,6,69],[0,7,89],[1,2,71],[1,3,9],[1,4,29],[1,5,43],[1,6,26],[2,3,13],[2,4,12],[2,5,65],[2,6,64],[2,7,8],[3,4,47],[3,5,22],[3,6,5],[3,7,85],[4,5,84],[4,6,86],[4,7,12],[5,6,37],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,72],[0,3,21],[0,6,69],[0,7,89],[1,2,71],[1,3,9],[1,4,29],[1,5,43],[1,6,26],[2,3,13],[2,4,12],[2,5,65],[2,6,64],[2,7,8],[3,4,47],[3,5,22],[3,6,5],[3,7,85],[4,5,84],[4,6,86],[4,7,12],[5,6,37],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,7)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,72],[0,3,21],[0,6,69],[0,7,89],[1,2,71],[1,3,9],[1,4,29],[1,5,43],[1,6,26],[2,3,13],[2,4,12],[2,5,65],[2,6,64],[2,7,8],[3,4,47],[3,5,22],[3,6,5],[3,7,85],[4,5,84],[4,6,86],[4,7,12],[5,6,37],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5, w=5\",\"Add (2,7)=8, w=13\",\"Add (1,3)=9, w=22\",\"Add (2,4)=12, w=34\",\"Add (2,3)=13, w=47\",\"Add (0,3)=21, w=68\",\"Add (3,5)=22, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,72],[0,3,21],[0,6,69],[0,7,89],[1,2,71],[1,3,9],[1,4,29],[1,5,43],[1,6,26],[2,3,13],[2,4,12],[2,5,65],[2,6,64],[2,7,8],[3,4,47],[3,5,22],[3,6,5],[3,7,85],[4,5,84],[4,6,86],[4,7,12],[5,6,37],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5 Succeeded, w=5\",\"Add (2,7)=8 Succeeded, w=13\",\"Add (1,3)=9 Succeeded, w=22\",\"Add (2,4)=12 Succeeded, w=34\",\"Add (4,7)=12 Failed, w=34\",\"Add (2,3)=13 Succeeded, w=47\",\"Add (0,3)=21 Succeeded, w=68\",\"Add (3,5)=22 Succeeded, w=90\",\"Add (1,6)=26 Failed, w=90\",\"Add (1,4)=29 Failed, w=90\",\"Add (5,7)=31 Failed, w=90\",\"Add (5,6)=37 Failed, w=90\",\"Add (1,5)=43 Failed, w=90\",\"Add (3,4)=47 Failed, w=90\",\"Add (2,6)=64 Failed, w=90\",\"Add (2,5)=65 Failed, w=90\",\"Add (0,6)=69 Failed, w=90\",\"Add (1,2)=71 Failed, w=90\",\"Add (0,2)=72 Failed, w=90\",\"Add (4,5)=84 Failed, w=90\",\"Add (3,7)=85 Failed, w=90\",\"Add (4,6)=86 Failed, w=90\",\"Add (0,7)=89 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,72],[0,3,21],[0,6,69],[0,7,89],[1,2,71],[1,3,9],[1,4,29],[1,5,43],[1,6,26],[2,3,13],[2,4,12],[2,5,65],[2,6,64],[2,7,8],[3,4,47],[3,5,22],[3,6,5],[3,7,85],[4,5,84],[4,6,86],[4,7,12],[5,6,37],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(2,7)=8,(1,3)=9,(2,4)=12,(4,7)=12,(2,3)=13,(0,3)=21,(3,5)=22,(1,6)=26,(1,4)=29,(5,7)=31,(5,6)=37,(1,5)=43,(3,4)=47,(2,6)=64,(2,5)=65,(0,6)=69,(1,2)=71,(0,2)=72,(4,5)=84,(3,7)=85,(4,6)=86,(0,7)=89]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=22\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=34\",\"Find(4)=2, Find(7)=2, Add (4,7)=12 Failed, w=34\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=47\",\"Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=68\",\"Find(3)=2, Find(5)=5, Add (3,5)=22 Succeeded, w=90\",\"Find(1)=2, Find(6)=2, Add (1,6)=26 Failed, w=90\",\"Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=90\",\"Find(5)=2, Find(7)=2, Add (5,7)=31 Failed, w=90\",\"Find(5)=2, Find(6)=2, Add (5,6)=37 Failed, w=90\",\"Find(1)=2, Find(5)=2, Add (1,5)=43 Failed, w=90\",\"Find(3)=2, Find(4)=2, Add (3,4)=47 Failed, w=90\",\"Find(2)=2, Find(6)=2, Add (2,6)=64 Failed, w=90\",\"Find(2)=2, Find(5)=2, Add (2,5)=65 Failed, w=90\",\"Find(0)=2, Find(6)=2, Add (0,6)=69 Failed, w=90\",\"Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=90\",\"Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=90\",\"Find(4)=2, Find(5)=2, Add (4,5)=84 Failed, w=90\",\"Find(3)=2, Find(7)=2, Add (3,7)=85 Failed, w=90\",\"Find(4)=2, Find(6)=2, Add (4,6)=86 Failed, w=90\",\"Find(0)=2, Find(7)=2, Add (0,7)=89 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,72],[0,3,21],[0,6,69],[0,7,89],[1,2,71],[1,3,9],[1,4,29],[1,5,43],[1,6,26],[2,3,13],[2,4,12],[2,5,65],[2,6,64],[2,7,8],[3,4,47],[3,5,22],[3,6,5],[3,7,85],[4,5,84],[4,6,86],[4,7,12],[5,6,37],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(2,7)=8,(1,3)=9,(2,4)=12,(4,7)=12,(2,3)=13,(0,3)=21,(3,5)=22,(1,6)=26,(1,4)=29,(5,7)=31,(5,6)=37,(1,5)=43,(3,4)=47,(2,6)=64,(2,5)=65,(0,6)=69,(1,2)=71,(0,2)=72,(4,5)=84,(3,7)=85,(4,6)=86,(0,7)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 2}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=22\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=34\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=12 Failed, w=34\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=47\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3, 7: 2}, Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=68\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 2}, Find(3)=2, Find(5)=5, Add (3,5)=22 Succeeded, w=90\",\"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)=26 Failed, w=90\",\"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)=29 Failed, w=90\",\"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)=31 Failed, w=90\",\"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)=37 Failed, w=90\",\"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)=43 Failed, w=90\",\"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)=47 Failed, w=90\",\"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)=64 Failed, w=90\",\"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)=65 Failed, w=90\",\"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)=69 Failed, w=90\",\"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)=71 Failed, w=90\",\"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)=72 Failed, w=90\",\"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)=84 Failed, w=90\",\"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)=85 Failed, w=90\",\"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)=86 Failed, w=90\",\"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)=89 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,64],[0,3,24],[0,4,55],[1,4,39],[1,5,38],[2,3,20],[3,4,95],[3,5,19],[4,5,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,24],[0,4,55],[1,4,39],[1,5,38],[2,3,20],[3,4,95],[3,5,19],[4,5,81]]}",
"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\":[[0,2,64],[0,3,24],[0,4,55],[1,4,39],[1,5,38],[2,3,20],[3,4,95],[3,5,19],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (1,4)\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,24],[0,4,55],[1,4,39],[1,5,38],[2,3,20],[3,4,95],[3,5,19],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=19, w=19\",\"Add (2,3)=20, w=39\",\"Add (0,3)=24, w=63\",\"Add (1,5)=38, w=101\",\"Add (1,4)=39, 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\":[[0,2,64],[0,3,24],[0,4,55],[1,4,39],[1,5,38],[2,3,20],[3,4,95],[3,5,19],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=19 Succeeded, w=19\",\"Add (2,3)=20 Succeeded, w=39\",\"Add (0,3)=24 Succeeded, w=63\",\"Add (1,5)=38 Succeeded, w=101\",\"Add (1,4)=39 Succeeded, w=140\",\"Add (0,4)=55 Failed, w=140\",\"Add (0,2)=64 Failed, w=140\",\"Add (4,5)=81 Failed, w=140\",\"Add (3,4)=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\":[[0,2,64],[0,3,24],[0,4,55],[1,4,39],[1,5,38],[2,3,20],[3,4,95],[3,5,19],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=19,(2,3)=20,(0,3)=24,(1,5)=38,(1,4)=39,(0,4)=55,(0,2)=64,(4,5)=81,(3,4)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=19\",\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=39\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=63\",\"Find(1)=1, Find(5)=3, Add (1,5)=38 Succeeded, w=101\",\"Find(1)=3, Find(4)=4, Add (1,4)=39 Succeeded, w=140\",\"Find(0)=3, Find(4)=3, Add (0,4)=55 Failed, w=140\",\"Find(0)=3, Find(2)=3, Add (0,2)=64 Failed, w=140\",\"Find(4)=3, Find(5)=3, Add (4,5)=81 Failed, w=140\",\"Find(3)=3, Find(4)=3, Add (3,4)=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\":[[0,2,64],[0,3,24],[0,4,55],[1,4,39],[1,5,38],[2,3,20],[3,4,95],[3,5,19],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=19,(2,3)=20,(0,3)=24,(1,5)=38,(1,4)=39,(0,4)=55,(0,2)=64,(4,5)=81,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=39\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=38 Succeeded, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=4, Add (1,4)=39 Succeeded, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=55 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=64 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)=81 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,74],[0,3,11],[0,4,68],[0,5,74],[0,6,28],[1,2,55],[1,3,41],[1,4,66],[1,5,15],[1,6,95],[2,3,83],[2,4,20],[2,5,44],[2,6,6],[2,7,33],[3,4,60],[3,6,41],[3,7,6],[4,5,69],[4,6,18],[4,7,76],[5,6,7],[5,7,63],[6,7,8]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,11],[0,4,68],[0,5,74],[0,6,28],[1,2,55],[1,3,41],[1,4,66],[1,5,15],[1,6,95],[2,3,83],[2,4,20],[2,5,44],[2,6,6],[2,7,33],[3,4,60],[3,6,41],[3,7,6],[4,5,69],[4,6,18],[4,7,76],[5,6,7],[5,7,63],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,11],[0,4,68],[0,5,74],[0,6,28],[1,2,55],[1,3,41],[1,4,66],[1,5,15],[1,6,95],[2,3,83],[2,4,20],[2,5,44],[2,6,6],[2,7,33],[3,4,60],[3,6,41],[3,7,6],[4,5,69],[4,6,18],[4,7,76],[5,6,7],[5,7,63],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,7)\",\"Add (5,6)\",\"Add (6,7)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (4,6)\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,11],[0,4,68],[0,5,74],[0,6,28],[1,2,55],[1,3,41],[1,4,66],[1,5,15],[1,6,95],[2,3,83],[2,4,20],[2,5,44],[2,6,6],[2,7,33],[3,4,60],[3,6,41],[3,7,6],[4,5,69],[4,6,18],[4,7,76],[5,6,7],[5,7,63],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6, w=6\",\"Add (3,7)=6, w=12\",\"Add (5,6)=7, w=19\",\"Add (6,7)=8, w=27\",\"Add (0,3)=11, w=38\",\"Add (1,5)=15, w=53\",\"Add (4,6)=18, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,11],[0,4,68],[0,5,74],[0,6,28],[1,2,55],[1,3,41],[1,4,66],[1,5,15],[1,6,95],[2,3,83],[2,4,20],[2,5,44],[2,6,6],[2,7,33],[3,4,60],[3,6,41],[3,7,6],[4,5,69],[4,6,18],[4,7,76],[5,6,7],[5,7,63],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6 Succeeded, w=6\",\"Add (3,7)=6 Succeeded, w=12\",\"Add (5,6)=7 Succeeded, w=19\",\"Add (6,7)=8 Succeeded, w=27\",\"Add (0,3)=11 Succeeded, w=38\",\"Add (1,5)=15 Succeeded, w=53\",\"Add (4,6)=18 Succeeded, w=71\",\"Add (2,4)=20 Failed, w=71\",\"Add (0,6)=28 Failed, w=71\",\"Add (2,7)=33 Failed, w=71\",\"Add (1,3)=41 Failed, w=71\",\"Add (3,6)=41 Failed, w=71\",\"Add (2,5)=44 Failed, w=71\",\"Add (1,2)=55 Failed, w=71\",\"Add (3,4)=60 Failed, w=71\",\"Add (5,7)=63 Failed, w=71\",\"Add (1,4)=66 Failed, w=71\",\"Add (0,4)=68 Failed, w=71\",\"Add (4,5)=69 Failed, w=71\",\"Add (0,2)=74 Failed, w=71\",\"Add (0,5)=74 Failed, w=71\",\"Add (4,7)=76 Failed, w=71\",\"Add (2,3)=83 Failed, w=71\",\"Add (1,6)=95 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,11],[0,4,68],[0,5,74],[0,6,28],[1,2,55],[1,3,41],[1,4,66],[1,5,15],[1,6,95],[2,3,83],[2,4,20],[2,5,44],[2,6,6],[2,7,33],[3,4,60],[3,6,41],[3,7,6],[4,5,69],[4,6,18],[4,7,76],[5,6,7],[5,7,63],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(3,7)=6,(5,6)=7,(6,7)=8,(0,3)=11,(1,5)=15,(4,6)=18,(2,4)=20,(0,6)=28,(2,7)=33,(1,3)=41,(3,6)=41,(2,5)=44,(1,2)=55,(3,4)=60,(5,7)=63,(1,4)=66,(0,4)=68,(4,5)=69,(0,2)=74,(0,5)=74,(4,7)=76,(2,3)=83,(1,6)=95]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=12\",\"Find(5)=5, Find(6)=2, Add (5,6)=7 Succeeded, w=19\",\"Find(6)=2, Find(7)=3, Add (6,7)=8 Succeeded, w=27\",\"Find(0)=0, Find(3)=2, Add (0,3)=11 Succeeded, w=38\",\"Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=53\",\"Find(4)=4, Find(6)=2, Add (4,6)=18 Succeeded, w=71\",\"Find(2)=2, Find(4)=2, Add (2,4)=20 Failed, w=71\",\"Find(0)=2, Find(6)=2, Add (0,6)=28 Failed, w=71\",\"Find(2)=2, Find(7)=2, Add (2,7)=33 Failed, w=71\",\"Find(1)=2, Find(3)=2, Add (1,3)=41 Failed, w=71\",\"Find(3)=2, Find(6)=2, Add (3,6)=41 Failed, w=71\",\"Find(2)=2, Find(5)=2, Add (2,5)=44 Failed, w=71\",\"Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=71\",\"Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=71\",\"Find(5)=2, Find(7)=2, Add (5,7)=63 Failed, w=71\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=71\",\"Find(0)=2, Find(4)=2, Add (0,4)=68 Failed, w=71\",\"Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=71\",\"Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=71\",\"Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=71\",\"Find(4)=2, Find(7)=2, Add (4,7)=76 Failed, w=71\",\"Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=71\",\"Find(1)=2, Find(6)=2, Add (1,6)=95 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,11],[0,4,68],[0,5,74],[0,6,28],[1,2,55],[1,3,41],[1,4,66],[1,5,15],[1,6,95],[2,3,83],[2,4,20],[2,5,44],[2,6,6],[2,7,33],[3,4,60],[3,6,41],[3,7,6],[4,5,69],[4,6,18],[4,7,76],[5,6,7],[5,7,63],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(3,7)=6,(5,6)=7,(6,7)=8,(0,3)=11,(1,5)=15,(4,6)=18,(2,4)=20,(0,6)=28,(2,7)=33,(1,3)=41,(3,6)=41,(2,5)=44,(1,2)=55,(3,4)=60,(5,7)=63,(1,4)=66,(0,4)=68,(4,5)=69,(0,2)=74,(0,5)=74,(4,7)=76,(2,3)=83,(1,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 3}, Find(5)=5, Find(6)=2, Add (5,6)=7 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 3}, Find(6)=2, Find(7)=3, Add (6,7)=8 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 3}, Find(0)=0, Find(3)=2, Add (0,3)=11 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 3}, Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 3}, Find(4)=4, Find(6)=2, Add (4,6)=18 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 3}, Find(2)=2, Find(4)=2, Add (2,4)=20 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 3}, Find(0)=2, Find(6)=2, Add (0,6)=28 Failed, w=71\",\"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)=33 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=41 Failed, w=71\",\"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)=41 Failed, w=71\",\"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)=44 Failed, w=71\",\"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)=55 Failed, w=71\",\"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)=60 Failed, w=71\",\"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)=63 Failed, w=71\",\"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=71\",\"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)=68 Failed, w=71\",\"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)=69 Failed, w=71\",\"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)=74 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=71\",\"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)=76 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=71\",\"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)=95 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,18],[0,2,67],[0,3,47],[0,4,42],[0,5,84],[0,6,40],[1,2,80],[1,3,98],[1,5,25],[1,6,84],[2,3,94],[2,4,8],[2,5,94],[2,6,48],[3,4,53],[3,5,17],[4,5,99],[4,6,79],[5,6,4]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,67],[0,3,47],[0,4,42],[0,5,84],[0,6,40],[1,2,80],[1,3,98],[1,5,25],[1,6,84],[2,3,94],[2,4,8],[2,5,94],[2,6,48],[3,4,53],[3,5,17],[4,5,99],[4,6,79],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,67],[0,3,47],[0,4,42],[0,5,84],[0,6,40],[1,2,80],[1,3,98],[1,5,25],[1,6,84],[2,3,94],[2,4,8],[2,5,94],[2,6,48],[3,4,53],[3,5,17],[4,5,99],[4,6,79],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,67],[0,3,47],[0,4,42],[0,5,84],[0,6,40],[1,2,80],[1,3,98],[1,5,25],[1,6,84],[2,3,94],[2,4,8],[2,5,94],[2,6,48],[3,4,53],[3,5,17],[4,5,99],[4,6,79],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (2,4)=8, w=12\",\"Add (3,5)=17, w=29\",\"Add (0,1)=18, w=47\",\"Add (1,5)=25, w=72\",\"Add (0,4)=42, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,67],[0,3,47],[0,4,42],[0,5,84],[0,6,40],[1,2,80],[1,3,98],[1,5,25],[1,6,84],[2,3,94],[2,4,8],[2,5,94],[2,6,48],[3,4,53],[3,5,17],[4,5,99],[4,6,79],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (2,4)=8 Succeeded, w=12\",\"Add (3,5)=17 Succeeded, w=29\",\"Add (0,1)=18 Succeeded, w=47\",\"Add (1,5)=25 Succeeded, w=72\",\"Add (0,6)=40 Failed, w=72\",\"Add (0,4)=42 Succeeded, w=114\",\"Add (0,3)=47 Failed, w=114\",\"Add (2,6)=48 Failed, w=114\",\"Add (3,4)=53 Failed, w=114\",\"Add (0,2)=67 Failed, w=114\",\"Add (4,6)=79 Failed, w=114\",\"Add (1,2)=80 Failed, w=114\",\"Add (0,5)=84 Failed, w=114\",\"Add (1,6)=84 Failed, w=114\",\"Add (2,3)=94 Failed, w=114\",\"Add (2,5)=94 Failed, w=114\",\"Add (1,3)=98 Failed, w=114\",\"Add (4,5)=99 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,67],[0,3,47],[0,4,42],[0,5,84],[0,6,40],[1,2,80],[1,3,98],[1,5,25],[1,6,84],[2,3,94],[2,4,8],[2,5,94],[2,6,48],[3,4,53],[3,5,17],[4,5,99],[4,6,79],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(2,4)=8,(3,5)=17,(0,1)=18,(1,5)=25,(0,6)=40,(0,4)=42,(0,3)=47,(2,6)=48,(3,4)=53,(0,2)=67,(4,6)=79,(1,2)=80,(0,5)=84,(1,6)=84,(2,3)=94,(2,5)=94,(1,3)=98,(4,5)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=12\",\"Find(3)=3, Find(5)=5, Add (3,5)=17 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=47\",\"Find(1)=0, Find(5)=5, Add (1,5)=25 Succeeded, w=72\",\"Find(0)=0, Find(6)=0, Add (0,6)=40 Failed, w=72\",\"Find(0)=0, Find(4)=2, Add (0,4)=42 Succeeded, w=114\",\"Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=114\",\"Find(2)=0, Find(6)=0, Add (2,6)=48 Failed, w=114\",\"Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=114\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=114\",\"Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=114\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=114\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=114\",\"Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=114\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=114\",\"Find(2)=0, Find(5)=0, Add (2,5)=94 Failed, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=114\",\"Find(4)=0, Find(5)=0, Add (4,5)=99 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,2,67],[0,3,47],[0,4,42],[0,5,84],[0,6,40],[1,2,80],[1,3,98],[1,5,25],[1,6,84],[2,3,94],[2,4,8],[2,5,94],[2,6,48],[3,4,53],[3,5,17],[4,5,99],[4,6,79],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(2,4)=8,(3,5)=17,(0,1)=18,(1,5)=25,(0,6)=40,(0,4)=42,(0,3)=47,(2,6)=48,(3,4)=53,(0,2)=67,(4,6)=79,(1,2)=80,(0,5)=84,(1,6)=84,(2,3)=94,(2,5)=94,(1,3)=98,(4,5)=99]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=17 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 5, 4: 2, 5: 0, 6: 5}, Find(1)=0, Find(5)=5, Add (1,5)=25 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 5, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=40 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(4)=2, Add (0,4)=42 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=48 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=94 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=99 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
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