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],"edges":[[0,1,98],[0,2,47],[0,3,22],[1,2,24],[1,3,97],[2,3,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,47],[0,3,22],[1,2,24],[1,3,97],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,47],[0,3,22],[1,2,24],[1,3,97],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,47],[0,3,22],[1,2,24],[1,3,97],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=22, w=22\",\"Add (1,2)=24, w=46\",\"Add (0,2)=47, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,47],[0,3,22],[1,2,24],[1,3,97],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=22 Succeeded, w=22\",\"Add (1,2)=24 Succeeded, w=46\",\"Add (0,2)=47 Succeeded, w=93\",\"Add (2,3)=68 Failed, w=93\",\"Add (1,3)=97 Failed, w=93\",\"Add (0,1)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,47],[0,3,22],[1,2,24],[1,3,97],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=22,(1,2)=24,(0,2)=47,(2,3)=68,(1,3)=97,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=22\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=46\",\"Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=93\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=93\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=93\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,47],[0,3,22],[1,2,24],[1,3,97],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=22,(1,2)=24,(0,2)=47,(2,3)=68,(1,3)=97,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,86],[0,2,62],[0,4,0],[0,5,97],[0,7,40],[1,2,75],[1,3,86],[1,4,46],[1,6,44],[1,7,48],[2,3,21],[2,4,95],[2,7,75],[3,5,82],[3,6,22],[3,7,16],[4,5,15],[4,7,26],[5,6,88],[5,7,77],[6,7,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,62],[0,4,0],[0,5,97],[0,7,40],[1,2,75],[1,3,86],[1,4,46],[1,6,44],[1,7,48],[2,3,21],[2,4,95],[2,7,75],[3,5,82],[3,6,22],[3,7,16],[4,5,15],[4,7,26],[5,6,88],[5,7,77],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,62],[0,4,0],[0,5,97],[0,7,40],[1,2,75],[1,3,86],[1,4,46],[1,6,44],[1,7,48],[2,3,21],[2,4,95],[2,7,75],[3,5,82],[3,6,22],[3,7,16],[4,5,15],[4,7,26],[5,6,88],[5,7,77],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (3,7)\",\"Add (2,3)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (1,6)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,62],[0,4,0],[0,5,97],[0,7,40],[1,2,75],[1,3,86],[1,4,46],[1,6,44],[1,7,48],[2,3,21],[2,4,95],[2,7,75],[3,5,82],[3,6,22],[3,7,16],[4,5,15],[4,7,26],[5,6,88],[5,7,77],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (4,5)=15, w=15\",\"Add (3,7)=16, w=31\",\"Add (2,3)=21, w=52\",\"Add (3,6)=22, w=74\",\"Add (4,7)=26, w=100\",\"Add (1,6)=44, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,62],[0,4,0],[0,5,97],[0,7,40],[1,2,75],[1,3,86],[1,4,46],[1,6,44],[1,7,48],[2,3,21],[2,4,95],[2,7,75],[3,5,82],[3,6,22],[3,7,16],[4,5,15],[4,7,26],[5,6,88],[5,7,77],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (4,5)=15 Succeeded, w=15\",\"Add (3,7)=16 Succeeded, w=31\",\"Add (2,3)=21 Succeeded, w=52\",\"Add (3,6)=22 Succeeded, w=74\",\"Add (4,7)=26 Succeeded, w=100\",\"Add (0,7)=40 Failed, w=100\",\"Add (1,6)=44 Succeeded, w=144\",\"Add (6,7)=44 Failed, w=144\",\"Add (1,4)=46 Failed, w=144\",\"Add (1,7)=48 Failed, w=144\",\"Add (0,2)=62 Failed, w=144\",\"Add (1,2)=75 Failed, w=144\",\"Add (2,7)=75 Failed, w=144\",\"Add (5,7)=77 Failed, w=144\",\"Add (3,5)=82 Failed, w=144\",\"Add (0,1)=86 Failed, w=144\",\"Add (1,3)=86 Failed, w=144\",\"Add (5,6)=88 Failed, w=144\",\"Add (2,4)=95 Failed, w=144\",\"Add (0,5)=97 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,62],[0,4,0],[0,5,97],[0,7,40],[1,2,75],[1,3,86],[1,4,46],[1,6,44],[1,7,48],[2,3,21],[2,4,95],[2,7,75],[3,5,82],[3,6,22],[3,7,16],[4,5,15],[4,7,26],[5,6,88],[5,7,77],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(4,5)=15,(3,7)=16,(2,3)=21,(3,6)=22,(4,7)=26,(0,7)=40,(1,6)=44,(6,7)=44,(1,4)=46,(1,7)=48,(0,2)=62,(1,2)=75,(2,7)=75,(5,7)=77,(3,5)=82,(0,1)=86,(1,3)=86,(5,6)=88,(2,4)=95,(0,5)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(4)=0, Find(5)=5, Add (4,5)=15 Succeeded, w=15\",\"Find(3)=3, Find(7)=7, Add (3,7)=16 Succeeded, w=31\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=52\",\"Find(3)=3, Find(6)=6, Add (3,6)=22 Succeeded, w=74\",\"Find(4)=0, Find(7)=3, Add (4,7)=26 Succeeded, w=100\",\"Find(0)=0, Find(7)=0, Add (0,7)=40 Failed, w=100\",\"Find(1)=1, Find(6)=0, Add (1,6)=44 Succeeded, w=144\",\"Find(6)=0, Find(7)=0, Add (6,7)=44 Failed, w=144\",\"Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=144\",\"Find(1)=0, Find(7)=0, Add (1,7)=48 Failed, w=144\",\"Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=144\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=144\",\"Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=144\",\"Find(5)=0, Find(7)=0, Add (5,7)=77 Failed, w=144\",\"Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=144\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=144\",\"Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=144\",\"Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=144\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,62],[0,4,0],[0,5,97],[0,7,40],[1,2,75],[1,3,86],[1,4,46],[1,6,44],[1,7,48],[2,3,21],[2,4,95],[2,7,75],[3,5,82],[3,6,22],[3,7,16],[4,5,15],[4,7,26],[5,6,88],[5,7,77],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(4,5)=15,(3,7)=16,(2,3)=21,(3,6)=22,(4,7)=26,(0,7)=40,(1,6)=44,(6,7)=44,(1,4)=46,(1,7)=48,(0,2)=62,(1,2)=75,(2,7)=75,(5,7)=77,(3,5)=82,(0,1)=86,(1,3)=86,(5,6)=88,(2,4)=95,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 0, 5: 0, 6: 6, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 0, 5: 0, 6: 3, 7: 3}, Find(3)=3, Find(6)=6, Add (3,6)=22 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 0, 4: 0, 5: 0, 6: 3, 7: 3}, Find(4)=0, Find(7)=3, Add (4,7)=26 Succeeded, w=100\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=40 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(6)=0, Add (1,6)=44 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=44 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=48 Failed, w=144\",\"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)=62 Failed, w=144\",\"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)=75 Failed, w=144\",\"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)=75 Failed, w=144\",\"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)=77 Failed, w=144\",\"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)=82 Failed, w=144\",\"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)=86 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=144\",\"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)=88 Failed, w=144\",\"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)=95 Failed, w=144\",\"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)=97 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,36],[0,2,45],[0,3,10],[0,4,55],[0,5,91],[1,4,83],[1,5,56],[2,3,100],[2,4,36],[4,5,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,45],[0,3,10],[0,4,55],[0,5,91],[1,4,83],[1,5,56],[2,3,100],[2,4,36],[4,5,97]]}",
"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],\"edges\":[[0,1,36],[0,2,45],[0,3,10],[0,4,55],[0,5,91],[1,4,83],[1,5,56],[2,3,100],[2,4,36],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,45],[0,3,10],[0,4,55],[0,5,91],[1,4,83],[1,5,56],[2,3,100],[2,4,36],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (0,1)=36, w=46\",\"Add (2,4)=36, w=82\",\"Add (0,2)=45, w=127\",\"Add (1,5)=56, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,45],[0,3,10],[0,4,55],[0,5,91],[1,4,83],[1,5,56],[2,3,100],[2,4,36],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (0,1)=36 Succeeded, w=46\",\"Add (2,4)=36 Succeeded, w=82\",\"Add (0,2)=45 Succeeded, w=127\",\"Add (0,4)=55 Failed, w=127\",\"Add (1,5)=56 Succeeded, w=183\",\"Add (1,4)=83 Failed, w=183\",\"Add (0,5)=91 Failed, w=183\",\"Add (4,5)=97 Failed, w=183\",\"Add (2,3)=100 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],\"edges\":[[0,1,36],[0,2,45],[0,3,10],[0,4,55],[0,5,91],[1,4,83],[1,5,56],[2,3,100],[2,4,36],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,1)=36,(2,4)=36,(0,2)=45,(0,4)=55,(1,5)=56,(1,4)=83,(0,5)=91,(4,5)=97,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=46\",\"Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=82\",\"Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=127\",\"Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=127\",\"Find(1)=0, Find(5)=5, Add (1,5)=56 Succeeded, w=183\",\"Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=183\",\"Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=183\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=183\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 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],\"edges\":[[0,1,36],[0,2,45],[0,3,10],[0,4,55],[0,5,91],[1,4,83],[1,5,56],[2,3,100],[2,4,36],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,1)=36,(2,4)=36,(0,2)=45,(0,4)=55,(1,5)=56,(1,4)=83,(0,5)=91,(4,5)=97,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=56 Succeeded, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,9],[0,3,78],[0,4,33],[1,2,96],[1,3,45],[1,4,8],[2,3,22],[2,4,33],[3,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,9],[0,3,78],[0,4,33],[1,2,96],[1,3,45],[1,4,8],[2,3,22],[2,4,33],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,9],[0,3,78],[0,4,33],[1,2,96],[1,3,45],[1,4,8],[2,3,22],[2,4,33],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,9],[0,3,78],[0,4,33],[1,2,96],[1,3,45],[1,4,8],[2,3,22],[2,4,33],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (0,2)=9, w=17\",\"Add (2,3)=22, w=39\",\"Add (0,1)=26, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,9],[0,3,78],[0,4,33],[1,2,96],[1,3,45],[1,4,8],[2,3,22],[2,4,33],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (0,2)=9 Succeeded, w=17\",\"Add (2,3)=22 Succeeded, w=39\",\"Add (0,1)=26 Succeeded, w=65\",\"Add (0,4)=33 Failed, w=65\",\"Add (2,4)=33 Failed, w=65\",\"Add (1,3)=45 Failed, w=65\",\"Add (0,3)=78 Failed, w=65\",\"Add (1,2)=96 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],\"edges\":[[0,1,26],[0,2,9],[0,3,78],[0,4,33],[1,2,96],[1,3,45],[1,4,8],[2,3,22],[2,4,33],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(0,2)=9,(2,3)=22,(0,1)=26,(0,4)=33,(2,4)=33,(1,3)=45,(0,3)=78,(1,2)=96,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=17\",\"Find(2)=0, Find(3)=3, Add (2,3)=22 Succeeded, w=39\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=65\",\"Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=65\",\"Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=65\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=65\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=65\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=65\",\"Find(3)=0, Find(4)=0, 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],\"edges\":[[0,1,26],[0,2,9],[0,3,78],[0,4,33],[1,2,96],[1,3,45],[1,4,8],[2,3,22],[2,4,33],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(0,2)=9,(2,3)=22,(0,1)=26,(0,4)=33,(2,4)=33,(1,3)=45,(0,3)=78,(1,2)=96,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=3, Add (2,3)=22 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,2,72],[0,3,57],[0,4,24],[0,5,19],[0,6,19],[1,2,30],[1,3,98],[1,4,22],[2,3,62],[2,4,29],[2,5,32],[2,6,28],[3,4,43],[3,6,93],[4,5,97],[4,6,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,72],[0,3,57],[0,4,24],[0,5,19],[0,6,19],[1,2,30],[1,3,98],[1,4,22],[2,3,62],[2,4,29],[2,5,32],[2,6,28],[3,4,43],[3,6,93],[4,5,97],[4,6,60]]}",
"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\":[[0,1,48],[0,2,72],[0,3,57],[0,4,24],[0,5,19],[0,6,19],[1,2,30],[1,3,98],[1,4,22],[2,3,62],[2,4,29],[2,5,32],[2,6,28],[3,4,43],[3,6,93],[4,5,97],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,6)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (3,4)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,72],[0,3,57],[0,4,24],[0,5,19],[0,6,19],[1,2,30],[1,3,98],[1,4,22],[2,3,62],[2,4,29],[2,5,32],[2,6,28],[3,4,43],[3,6,93],[4,5,97],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=19, w=19\",\"Add (0,6)=19, w=38\",\"Add (1,4)=22, w=60\",\"Add (0,4)=24, w=84\",\"Add (2,6)=28, w=112\",\"Add (3,4)=43, 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\":[[0,1,48],[0,2,72],[0,3,57],[0,4,24],[0,5,19],[0,6,19],[1,2,30],[1,3,98],[1,4,22],[2,3,62],[2,4,29],[2,5,32],[2,6,28],[3,4,43],[3,6,93],[4,5,97],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=19 Succeeded, w=19\",\"Add (0,6)=19 Succeeded, w=38\",\"Add (1,4)=22 Succeeded, w=60\",\"Add (0,4)=24 Succeeded, w=84\",\"Add (2,6)=28 Succeeded, w=112\",\"Add (2,4)=29 Failed, w=112\",\"Add (1,2)=30 Failed, w=112\",\"Add (2,5)=32 Failed, w=112\",\"Add (3,4)=43 Succeeded, w=155\",\"Add (0,1)=48 Failed, w=155\",\"Add (0,3)=57 Failed, w=155\",\"Add (4,6)=60 Failed, w=155\",\"Add (2,3)=62 Failed, w=155\",\"Add (0,2)=72 Failed, w=155\",\"Add (3,6)=93 Failed, w=155\",\"Add (4,5)=97 Failed, w=155\",\"Add (1,3)=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\":[[0,1,48],[0,2,72],[0,3,57],[0,4,24],[0,5,19],[0,6,19],[1,2,30],[1,3,98],[1,4,22],[2,3,62],[2,4,29],[2,5,32],[2,6,28],[3,4,43],[3,6,93],[4,5,97],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=19,(0,6)=19,(1,4)=22,(0,4)=24,(2,6)=28,(2,4)=29,(1,2)=30,(2,5)=32,(3,4)=43,(0,1)=48,(0,3)=57,(4,6)=60,(2,3)=62,(0,2)=72,(3,6)=93,(4,5)=97,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=19\",\"Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=38\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=60\",\"Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=84\",\"Find(2)=2, Find(6)=0, Add (2,6)=28 Succeeded, w=112\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=112\",\"Find(1)=0, Find(2)=0, Add (1,2)=30 Failed, w=112\",\"Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=112\",\"Find(3)=3, Find(4)=0, Add (3,4)=43 Succeeded, w=155\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=155\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=155\",\"Find(4)=0, Find(6)=0, Add (4,6)=60 Failed, w=155\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=155\",\"Find(0)=0, Find(2)=0, Add (0,2)=72 Failed, w=155\",\"Find(3)=0, Find(6)=0, Add (3,6)=93 Failed, w=155\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=155\",\"Find(1)=0, Find(3)=0, Add (1,3)=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\":[[0,1,48],[0,2,72],[0,3,57],[0,4,24],[0,5,19],[0,6,19],[1,2,30],[1,3,98],[1,4,22],[2,3,62],[2,4,29],[2,5,32],[2,6,28],[3,4,43],[3,6,93],[4,5,97],[4,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=19,(0,6)=19,(1,4)=22,(0,4)=24,(2,6)=28,(2,4)=29,(1,2)=30,(2,5)=32,(3,4)=43,(0,1)=48,(0,3)=57,(4,6)=60,(2,3)=62,(0,2)=72,(3,6)=93,(4,5)=97,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 0}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=28 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=30 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=43 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=60 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=72 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=93 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=155\",\"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=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,44],[0,4,18],[0,6,46],[1,3,20],[1,4,34],[1,6,58],[2,3,22],[2,5,47],[3,4,15],[3,5,47],[4,5,57],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,4,18],[0,6,46],[1,3,20],[1,4,34],[1,6,58],[2,3,22],[2,5,47],[3,4,15],[3,5,47],[4,5,57],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,4,18],[0,6,46],[1,3,20],[1,4,34],[1,6,58],[2,3,22],[2,5,47],[3,4,15],[3,5,47],[4,5,57],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,6)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,4,18],[0,6,46],[1,3,20],[1,4,34],[1,6,58],[2,3,22],[2,5,47],[3,4,15],[3,5,47],[4,5,57],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=15, w=15\",\"Add (0,4)=18, w=33\",\"Add (5,6)=19, w=52\",\"Add (1,3)=20, w=72\",\"Add (2,3)=22, w=94\",\"Add (0,6)=46, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,4,18],[0,6,46],[1,3,20],[1,4,34],[1,6,58],[2,3,22],[2,5,47],[3,4,15],[3,5,47],[4,5,57],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=15 Succeeded, w=15\",\"Add (0,4)=18 Succeeded, w=33\",\"Add (5,6)=19 Succeeded, w=52\",\"Add (1,3)=20 Succeeded, w=72\",\"Add (2,3)=22 Succeeded, w=94\",\"Add (1,4)=34 Failed, w=94\",\"Add (0,1)=44 Failed, w=94\",\"Add (0,6)=46 Succeeded, w=140\",\"Add (2,5)=47 Failed, w=140\",\"Add (3,5)=47 Failed, w=140\",\"Add (4,5)=57 Failed, w=140\",\"Add (1,6)=58 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,4,18],[0,6,46],[1,3,20],[1,4,34],[1,6,58],[2,3,22],[2,5,47],[3,4,15],[3,5,47],[4,5,57],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=15,(0,4)=18,(5,6)=19,(1,3)=20,(2,3)=22,(1,4)=34,(0,1)=44,(0,6)=46,(2,5)=47,(3,5)=47,(4,5)=57,(1,6)=58]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Find(0)=0, Find(4)=3, Add (0,4)=18 Succeeded, w=33\",\"Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=52\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=72\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=94\",\"Find(1)=3, Find(4)=3, Add (1,4)=34 Failed, w=94\",\"Find(0)=3, Find(1)=3, Add (0,1)=44 Failed, w=94\",\"Find(0)=3, Find(6)=5, Add (0,6)=46 Succeeded, w=140\",\"Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=140\",\"Find(3)=3, Find(5)=3, Add (3,5)=47 Failed, w=140\",\"Find(4)=3, Find(5)=3, Add (4,5)=57 Failed, w=140\",\"Find(1)=3, Find(6)=3, Add (1,6)=58 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,4,18],[0,6,46],[1,3,20],[1,4,34],[1,6,58],[2,3,22],[2,5,47],[3,4,15],[3,5,47],[4,5,57],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=15,(0,4)=18,(5,6)=19,(1,3)=20,(2,3)=22,(1,4)=34,(0,1)=44,(0,6)=46,(2,5)=47,(3,5)=47,(4,5)=57,(1,6)=58]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(4)=3, Add (0,4)=18 Succeeded, w=33\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=52\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5}, Find(1)=3, Find(4)=3, Add (1,4)=34 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5}, Find(0)=3, Find(1)=3, Add (0,1)=44 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(0)=3, Find(6)=5, Add (0,6)=46 Succeeded, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(3)=3, Find(5)=3, Add (3,5)=47 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(4)=3, Find(5)=3, Add (4,5)=57 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=58 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,46],[0,4,6],[1,3,74],[1,4,41],[1,5,54],[2,3,54],[2,5,70],[3,4,67],[3,5,4],[4,5,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,46],[0,4,6],[1,3,74],[1,4,41],[1,5,54],[2,3,54],[2,5,70],[3,4,67],[3,5,4],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,46],[0,4,6],[1,3,74],[1,4,41],[1,5,54],[2,3,54],[2,5,70],[3,4,67],[3,5,4],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,46],[0,4,6],[1,3,74],[1,4,41],[1,5,54],[2,3,54],[2,5,70],[3,4,67],[3,5,4],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (0,4)=6, w=10\",\"Add (1,4)=41, w=51\",\"Add (0,3)=46, w=97\",\"Add (2,3)=54, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,46],[0,4,6],[1,3,74],[1,4,41],[1,5,54],[2,3,54],[2,5,70],[3,4,67],[3,5,4],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (0,4)=6 Succeeded, w=10\",\"Add (1,4)=41 Succeeded, w=51\",\"Add (0,3)=46 Succeeded, w=97\",\"Add (1,5)=54 Failed, w=97\",\"Add (2,3)=54 Succeeded, w=151\",\"Add (3,4)=67 Failed, w=151\",\"Add (2,5)=70 Failed, w=151\",\"Add (1,3)=74 Failed, w=151\",\"Add (4,5)=90 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,46],[0,4,6],[1,3,74],[1,4,41],[1,5,54],[2,3,54],[2,5,70],[3,4,67],[3,5,4],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(0,4)=6,(1,4)=41,(0,3)=46,(1,5)=54,(2,3)=54,(3,4)=67,(2,5)=70,(1,3)=74,(4,5)=90]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=10\",\"Find(1)=1, Find(4)=0, Add (1,4)=41 Succeeded, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=97\",\"Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=97\",\"Find(2)=2, Find(3)=0, Add (2,3)=54 Succeeded, w=151\",\"Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=151\",\"Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=151\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,46],[0,4,6],[1,3,74],[1,4,41],[1,5,54],[2,3,54],[2,5,70],[3,4,67],[3,5,4],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(0,4)=6,(1,4)=41,(0,3)=46,(1,5)=54,(2,3)=54,(3,4)=67,(2,5)=70,(1,3)=74,(4,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3}, Find(1)=1, Find(4)=0, Add (1,4)=41 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=54 Succeeded, w=151\",\"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=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,2,55],[1,2,51],[1,3,31],[1,4,94],[2,3,0],[3,4,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,55],[1,2,51],[1,3,31],[1,4,94],[2,3,0],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,55],[1,2,51],[1,3,31],[1,4,94],[2,3,0],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,55],[1,2,51],[1,3,31],[1,4,94],[2,3,0],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (3,4)=0, w=0\",\"Add (1,3)=31, w=31\",\"Add (0,2)=55, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,55],[1,2,51],[1,3,31],[1,4,94],[2,3,0],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (3,4)=0 Succeeded, w=0\",\"Add (1,3)=31 Succeeded, w=31\",\"Add (1,2)=51 Failed, w=31\",\"Add (0,2)=55 Succeeded, w=86\",\"Add (1,4)=94 Failed, w=86\",\"Add (0,1)=100 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,55],[1,2,51],[1,3,31],[1,4,94],[2,3,0],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(3,4)=0,(1,3)=31,(1,2)=51,(0,2)=55,(1,4)=94,(0,1)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(3)=2, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=2, Add (1,3)=31 Succeeded, w=31\",\"Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=31\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=86\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=86\",\"Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,55],[1,2,51],[1,3,31],[1,4,94],[2,3,0],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(3,4)=0,(1,3)=31,(1,2)=51,(0,2)=55,(1,4)=94,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,22],[0,2,56],[0,3,43],[0,4,83],[1,2,59],[1,3,64],[1,4,42],[2,3,92],[2,4,82],[3,4,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,56],[0,3,43],[0,4,83],[1,2,59],[1,3,64],[1,4,42],[2,3,92],[2,4,82],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,56],[0,3,43],[0,4,83],[1,2,59],[1,3,64],[1,4,42],[2,3,92],[2,4,82],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,56],[0,3,43],[0,4,83],[1,2,59],[1,3,64],[1,4,42],[2,3,92],[2,4,82],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22, w=22\",\"Add (1,4)=42, w=64\",\"Add (0,3)=43, w=107\",\"Add (0,2)=56, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,56],[0,3,43],[0,4,83],[1,2,59],[1,3,64],[1,4,42],[2,3,92],[2,4,82],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22 Succeeded, w=22\",\"Add (1,4)=42 Succeeded, w=64\",\"Add (0,3)=43 Succeeded, w=107\",\"Add (0,2)=56 Succeeded, w=163\",\"Add (1,2)=59 Failed, w=163\",\"Add (1,3)=64 Failed, w=163\",\"Add (3,4)=71 Failed, w=163\",\"Add (2,4)=82 Failed, w=163\",\"Add (0,4)=83 Failed, w=163\",\"Add (2,3)=92 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,56],[0,3,43],[0,4,83],[1,2,59],[1,3,64],[1,4,42],[2,3,92],[2,4,82],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(1,4)=42,(0,3)=43,(0,2)=56,(1,2)=59,(1,3)=64,(3,4)=71,(2,4)=82,(0,4)=83,(2,3)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Find(1)=0, Find(4)=4, Add (1,4)=42 Succeeded, w=64\",\"Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=107\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=163\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=163\",\"Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=163\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=163\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=163\",\"Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=163\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,56],[0,3,43],[0,4,83],[1,2,59],[1,3,64],[1,4,42],[2,3,92],[2,4,82],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(1,4)=42,(0,3)=43,(0,2)=56,(1,2)=59,(1,3)=64,(3,4)=71,(2,4)=82,(0,4)=83,(2,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=42 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,2],[0,5,3],[1,2,98],[1,3,83],[1,4,37],[1,5,24],[2,3,86],[2,5,89],[2,6,64],[3,4,18],[3,5,85],[3,6,57],[4,5,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,2],[0,5,3],[1,2,98],[1,3,83],[1,4,37],[1,5,24],[2,3,86],[2,5,89],[2,6,64],[3,4,18],[3,5,85],[3,6,57],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,2],[0,5,3],[1,2,98],[1,3,83],[1,4,37],[1,5,24],[2,3,86],[2,5,89],[2,6,64],[3,4,18],[3,5,85],[3,6,57],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (2,6)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,2],[0,5,3],[1,2,98],[1,3,83],[1,4,37],[1,5,24],[2,3,86],[2,5,89],[2,6,64],[3,4,18],[3,5,85],[3,6,57],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,5)=3, w=5\",\"Add (3,4)=18, w=23\",\"Add (1,5)=24, w=47\",\"Add (3,6)=57, w=104\",\"Add (2,6)=64, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,2],[0,5,3],[1,2,98],[1,3,83],[1,4,37],[1,5,24],[2,3,86],[2,5,89],[2,6,64],[3,4,18],[3,5,85],[3,6,57],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,5)=3 Succeeded, w=5\",\"Add (3,4)=18 Succeeded, w=23\",\"Add (1,5)=24 Succeeded, w=47\",\"Add (1,4)=37 Failed, w=47\",\"Add (4,5)=42 Failed, w=47\",\"Add (3,6)=57 Succeeded, w=104\",\"Add (2,6)=64 Succeeded, w=168\",\"Add (1,3)=83 Failed, w=168\",\"Add (3,5)=85 Failed, w=168\",\"Add (2,3)=86 Failed, w=168\",\"Add (2,5)=89 Failed, w=168\",\"Add (1,2)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,2],[0,5,3],[1,2,98],[1,3,83],[1,4,37],[1,5,24],[2,3,86],[2,5,89],[2,6,64],[3,4,18],[3,5,85],[3,6,57],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,5)=3,(3,4)=18,(1,5)=24,(1,4)=37,(4,5)=42,(3,6)=57,(2,6)=64,(1,3)=83,(3,5)=85,(2,3)=86,(2,5)=89,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=5\",\"Find(3)=0, Find(4)=4, Add (3,4)=18 Succeeded, w=23\",\"Find(1)=1, Find(5)=0, Add (1,5)=24 Succeeded, w=47\",\"Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=47\",\"Find(4)=0, Find(5)=0, Add (4,5)=42 Failed, w=47\",\"Find(3)=0, Find(6)=6, Add (3,6)=57 Succeeded, w=104\",\"Find(2)=2, Find(6)=0, Add (2,6)=64 Succeeded, w=168\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=168\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=168\",\"Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=168\",\"Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=168\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,2],[0,5,3],[1,2,98],[1,3,83],[1,4,37],[1,5,24],[2,3,86],[2,5,89],[2,6,64],[3,4,18],[3,5,85],[3,6,57],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,5)=3,(3,4)=18,(1,5)=24,(1,4)=37,(4,5)=42,(3,6)=57,(2,6)=64,(1,3)=83,(3,5)=85,(2,3)=86,(2,5)=89,(1,2)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=18 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=24 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=0, Add (4,5)=42 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=57 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=64 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=168\",\"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=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,21],[1,2,49],[1,4,62],[2,3,97],[2,4,17],[3,4,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[1,2,49],[1,4,62],[2,3,97],[2,4,17],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[1,2,49],[1,4,62],[2,3,97],[2,4,17],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[1,2,49],[1,4,62],[2,3,97],[2,4,17],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=17, w=17\",\"Add (0,1)=21, w=38\",\"Add (1,2)=49, w=87\",\"Add (3,4)=85, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[1,2,49],[1,4,62],[2,3,97],[2,4,17],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=17 Succeeded, w=17\",\"Add (0,1)=21 Succeeded, w=38\",\"Add (1,2)=49 Succeeded, w=87\",\"Add (1,4)=62 Failed, w=87\",\"Add (3,4)=85 Succeeded, w=172\",\"Add (2,3)=97 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[1,2,49],[1,4,62],[2,3,97],[2,4,17],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=17,(0,1)=21,(1,2)=49,(1,4)=62,(3,4)=85,(2,3)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=38\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=87\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=87\",\"Find(3)=3, Find(4)=0, Add (3,4)=85 Succeeded, w=172\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[1,2,49],[1,4,62],[2,3,97],[2,4,17],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=17,(0,1)=21,(1,2)=49,(1,4)=62,(3,4)=85,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=85 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,2,21],[0,3,15],[0,4,27],[1,2,71],[1,3,25],[1,4,41],[2,3,91],[2,4,30],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,21],[0,3,15],[0,4,27],[1,2,71],[1,3,25],[1,4,41],[2,3,91],[2,4,30],[3,4,54]]}",
"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\":[[0,1,96],[0,2,21],[0,3,15],[0,4,27],[1,2,71],[1,3,25],[1,4,41],[2,3,91],[2,4,30],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,21],[0,3,15],[0,4,27],[1,2,71],[1,3,25],[1,4,41],[2,3,91],[2,4,30],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (0,2)=21, w=36\",\"Add (1,3)=25, w=61\",\"Add (0,4)=27, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,2,21],[0,3,15],[0,4,27],[1,2,71],[1,3,25],[1,4,41],[2,3,91],[2,4,30],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (0,2)=21 Succeeded, w=36\",\"Add (1,3)=25 Succeeded, w=61\",\"Add (0,4)=27 Succeeded, w=88\",\"Add (2,4)=30 Failed, w=88\",\"Add (1,4)=41 Failed, w=88\",\"Add (3,4)=54 Failed, w=88\",\"Add (1,2)=71 Failed, w=88\",\"Add (2,3)=91 Failed, w=88\",\"Add (0,1)=96 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\":[[0,1,96],[0,2,21],[0,3,15],[0,4,27],[1,2,71],[1,3,25],[1,4,41],[2,3,91],[2,4,30],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(0,2)=21,(1,3)=25,(0,4)=27,(2,4)=30,(1,4)=41,(3,4)=54,(1,2)=71,(2,3)=91,(0,1)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=36\",\"Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=61\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=30 Failed, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=88\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=88\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=88\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 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\":[[0,1,96],[0,2,21],[0,3,15],[0,4,27],[1,2,71],[1,3,25],[1,4,41],[2,3,91],[2,4,30],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(0,2)=21,(1,3)=25,(0,4)=27,(2,4)=30,(1,4)=41,(3,4)=54,(1,2)=71,(2,3)=91,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=30 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,88],[0,3,74],[0,4,70],[1,2,77],[1,3,45],[1,4,94],[2,3,46],[2,4,88],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,74],[0,4,70],[1,2,77],[1,3,45],[1,4,94],[2,3,46],[2,4,88],[3,4,27]]}",
"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\":[[0,1,88],[0,3,74],[0,4,70],[1,2,77],[1,3,45],[1,4,94],[2,3,46],[2,4,88],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,74],[0,4,70],[1,2,77],[1,3,45],[1,4,94],[2,3,46],[2,4,88],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=27, w=27\",\"Add (1,3)=45, w=72\",\"Add (2,3)=46, w=118\",\"Add (0,4)=70, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,74],[0,4,70],[1,2,77],[1,3,45],[1,4,94],[2,3,46],[2,4,88],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=27 Succeeded, w=27\",\"Add (1,3)=45 Succeeded, w=72\",\"Add (2,3)=46 Succeeded, w=118\",\"Add (0,4)=70 Succeeded, w=188\",\"Add (0,3)=74 Failed, w=188\",\"Add (1,2)=77 Failed, w=188\",\"Add (0,1)=88 Failed, w=188\",\"Add (2,4)=88 Failed, w=188\",\"Add (1,4)=94 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,74],[0,4,70],[1,2,77],[1,3,45],[1,4,94],[2,3,46],[2,4,88],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=27,(1,3)=45,(2,3)=46,(0,4)=70,(0,3)=74,(1,2)=77,(0,1)=88,(2,4)=88,(1,4)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=72\",\"Find(2)=2, Find(3)=3, Add (2,3)=46 Succeeded, w=118\",\"Find(0)=0, Find(4)=3, Add (0,4)=70 Succeeded, w=188\",\"Find(0)=3, Find(3)=3, Add (0,3)=74 Failed, w=188\",\"Find(1)=3, Find(2)=3, Add (1,2)=77 Failed, w=188\",\"Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=188\",\"Find(2)=3, Find(4)=3, Add (2,4)=88 Failed, w=188\",\"Find(1)=3, Find(4)=3, Add (1,4)=94 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,3,74],[0,4,70],[1,2,77],[1,3,45],[1,4,94],[2,3,46],[2,4,88],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=27,(1,3)=45,(2,3)=46,(0,4)=70,(0,3)=74,(1,2)=77,(0,1)=88,(2,4)=88,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=72\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=46 Succeeded, w=118\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=70 Succeeded, w=188\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=74 Failed, w=188\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=77 Failed, w=188\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=188\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=88 Failed, w=188\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=94 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,91],[0,3,78],[0,4,33],[0,5,72],[0,6,29],[1,4,28],[1,5,63],[1,6,7],[2,5,83],[2,6,49],[2,7,37],[3,4,5],[3,5,87],[3,6,47],[3,7,64],[4,5,37],[4,6,79],[4,7,3],[5,6,14],[5,7,29],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,78],[0,4,33],[0,5,72],[0,6,29],[1,4,28],[1,5,63],[1,6,7],[2,5,83],[2,6,49],[2,7,37],[3,4,5],[3,5,87],[3,6,47],[3,7,64],[4,5,37],[4,6,79],[4,7,3],[5,6,14],[5,7,29],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,78],[0,4,33],[0,5,72],[0,6,29],[1,4,28],[1,5,63],[1,6,7],[2,5,83],[2,6,49],[2,7,37],[3,4,5],[3,5,87],[3,6,47],[3,7,64],[4,5,37],[4,6,79],[4,7,3],[5,6,14],[5,7,29],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (6,7)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (2,7)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,78],[0,4,33],[0,5,72],[0,6,29],[1,4,28],[1,5,63],[1,6,7],[2,5,83],[2,6,49],[2,7,37],[3,4,5],[3,5,87],[3,6,47],[3,7,64],[4,5,37],[4,6,79],[4,7,3],[5,6,14],[5,7,29],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3, w=3\",\"Add (3,4)=5, w=8\",\"Add (1,6)=7, w=15\",\"Add (6,7)=8, w=23\",\"Add (5,6)=14, w=37\",\"Add (0,6)=29, w=66\",\"Add (2,7)=37, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,78],[0,4,33],[0,5,72],[0,6,29],[1,4,28],[1,5,63],[1,6,7],[2,5,83],[2,6,49],[2,7,37],[3,4,5],[3,5,87],[3,6,47],[3,7,64],[4,5,37],[4,6,79],[4,7,3],[5,6,14],[5,7,29],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3 Succeeded, w=3\",\"Add (3,4)=5 Succeeded, w=8\",\"Add (1,6)=7 Succeeded, w=15\",\"Add (6,7)=8 Succeeded, w=23\",\"Add (5,6)=14 Succeeded, w=37\",\"Add (1,4)=28 Failed, w=37\",\"Add (0,6)=29 Succeeded, w=66\",\"Add (5,7)=29 Failed, w=66\",\"Add (0,4)=33 Failed, w=66\",\"Add (2,7)=37 Succeeded, w=103\",\"Add (4,5)=37 Failed, w=103\",\"Add (3,6)=47 Failed, w=103\",\"Add (2,6)=49 Failed, w=103\",\"Add (1,5)=63 Failed, w=103\",\"Add (3,7)=64 Failed, w=103\",\"Add (0,5)=72 Failed, w=103\",\"Add (0,3)=78 Failed, w=103\",\"Add (4,6)=79 Failed, w=103\",\"Add (2,5)=83 Failed, w=103\",\"Add (3,5)=87 Failed, w=103\",\"Add (0,2)=91 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,78],[0,4,33],[0,5,72],[0,6,29],[1,4,28],[1,5,63],[1,6,7],[2,5,83],[2,6,49],[2,7,37],[3,4,5],[3,5,87],[3,6,47],[3,7,64],[4,5,37],[4,6,79],[4,7,3],[5,6,14],[5,7,29],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(3,4)=5,(1,6)=7,(6,7)=8,(5,6)=14,(1,4)=28,(0,6)=29,(5,7)=29,(0,4)=33,(2,7)=37,(4,5)=37,(3,6)=47,(2,6)=49,(1,5)=63,(3,7)=64,(0,5)=72,(0,3)=78,(4,6)=79,(2,5)=83,(3,5)=87,(0,2)=91]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=8\",\"Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=15\",\"Find(6)=1, Find(7)=4, Add (6,7)=8 Succeeded, w=23\",\"Find(5)=5, Find(6)=1, Add (5,6)=14 Succeeded, w=37\",\"Find(1)=1, Find(4)=1, Add (1,4)=28 Failed, w=37\",\"Find(0)=0, Find(6)=1, Add (0,6)=29 Succeeded, w=66\",\"Find(5)=1, Find(7)=1, Add (5,7)=29 Failed, w=66\",\"Find(0)=1, Find(4)=1, Add (0,4)=33 Failed, w=66\",\"Find(2)=2, Find(7)=1, Add (2,7)=37 Succeeded, w=103\",\"Find(4)=1, Find(5)=1, Add (4,5)=37 Failed, w=103\",\"Find(3)=1, Find(6)=1, Add (3,6)=47 Failed, w=103\",\"Find(2)=1, Find(6)=1, Add (2,6)=49 Failed, w=103\",\"Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=103\",\"Find(3)=1, Find(7)=1, Add (3,7)=64 Failed, w=103\",\"Find(0)=1, Find(5)=1, Add (0,5)=72 Failed, w=103\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=103\",\"Find(4)=1, Find(6)=1, Add (4,6)=79 Failed, w=103\",\"Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=103\",\"Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=103\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,3,78],[0,4,33],[0,5,72],[0,6,29],[1,4,28],[1,5,63],[1,6,7],[2,5,83],[2,6,49],[2,7,37],[3,4,5],[3,5,87],[3,6,47],[3,7,64],[4,5,37],[4,6,79],[4,7,3],[5,6,14],[5,7,29],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(3,4)=5,(1,6)=7,(6,7)=8,(5,6)=14,(1,4)=28,(0,6)=29,(5,7)=29,(0,4)=33,(2,7)=37,(4,5)=37,(3,6)=47,(2,6)=49,(1,5)=63,(3,7)=64,(0,5)=72,(0,3)=78,(4,6)=79,(2,5)=83,(3,5)=87,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 6, 7: 4}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 1, 7: 4}, Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 1, 5: 5, 6: 1, 7: 4}, Find(6)=1, Find(7)=4, Add (6,7)=8 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 1, 5: 1, 6: 1, 7: 4}, Find(5)=5, Find(6)=1, Add (5,6)=14 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(4)=1, Add (1,4)=28 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 4, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=0, Find(6)=1, Add (0,6)=29 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 4, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=29 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 4, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=33 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 4, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=37 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 4, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=37 Failed, w=103\",\"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)=47 Failed, w=103\",\"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)=49 Failed, w=103\",\"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)=63 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=64 Failed, w=103\",\"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)=72 Failed, w=103\",\"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)=78 Failed, w=103\",\"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)=79 Failed, w=103\",\"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)=83 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=103\",\"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)=91 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,70],[0,3,11],[0,4,87],[0,5,89],[1,5,31],[1,6,71],[2,3,68],[2,5,99],[3,4,82],[4,5,53],[4,6,62],[5,6,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,3,11],[0,4,87],[0,5,89],[1,5,31],[1,6,71],[2,3,68],[2,5,99],[3,4,82],[4,5,53],[4,6,62],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,3,11],[0,4,87],[0,5,89],[1,5,31],[1,6,71],[2,3,68],[2,5,99],[3,4,82],[4,5,53],[4,6,62],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,3,11],[0,4,87],[0,5,89],[1,5,31],[1,6,71],[2,3,68],[2,5,99],[3,4,82],[4,5,53],[4,6,62],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=5, w=5\",\"Add (0,3)=11, w=16\",\"Add (1,5)=31, w=47\",\"Add (4,5)=53, w=100\",\"Add (2,3)=68, w=168\",\"Add (0,1)=70, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,3,11],[0,4,87],[0,5,89],[1,5,31],[1,6,71],[2,3,68],[2,5,99],[3,4,82],[4,5,53],[4,6,62],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=5 Succeeded, w=5\",\"Add (0,3)=11 Succeeded, w=16\",\"Add (1,5)=31 Succeeded, w=47\",\"Add (4,5)=53 Succeeded, w=100\",\"Add (4,6)=62 Failed, w=100\",\"Add (2,3)=68 Succeeded, w=168\",\"Add (0,1)=70 Succeeded, w=238\",\"Add (1,6)=71 Failed, w=238\",\"Add (3,4)=82 Failed, w=238\",\"Add (0,4)=87 Failed, w=238\",\"Add (0,5)=89 Failed, w=238\",\"Add (2,5)=99 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,3,11],[0,4,87],[0,5,89],[1,5,31],[1,6,71],[2,3,68],[2,5,99],[3,4,82],[4,5,53],[4,6,62],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=5,(0,3)=11,(1,5)=31,(4,5)=53,(4,6)=62,(2,3)=68,(0,1)=70,(1,6)=71,(3,4)=82,(0,4)=87,(0,5)=89,(2,5)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=16\",\"Find(1)=1, Find(5)=5, Add (1,5)=31 Succeeded, w=47\",\"Find(4)=4, Find(5)=5, Add (4,5)=53 Succeeded, w=100\",\"Find(4)=5, Find(6)=5, Add (4,6)=62 Failed, w=100\",\"Find(2)=2, Find(3)=0, Add (2,3)=68 Succeeded, w=168\",\"Find(0)=0, Find(1)=5, Add (0,1)=70 Succeeded, w=238\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=238\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=238\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=238\",\"Find(0)=0, Find(5)=0, Add (0,5)=89 Failed, w=238\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,3,11],[0,4,87],[0,5,89],[1,5,31],[1,6,71],[2,3,68],[2,5,99],[3,4,82],[4,5,53],[4,6,62],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=5,(0,3)=11,(1,5)=31,(4,5)=53,(4,6)=62,(2,3)=68,(0,1)=70,(1,6)=71,(3,4)=82,(0,4)=87,(0,5)=89,(2,5)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=31 Succeeded, w=47\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(5)=5, Add (4,5)=53 Succeeded, w=100\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(6)=5, Add (4,6)=62 Failed, w=100\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 5, 5: 5, 6: 5}, Find(2)=2, Find(3)=0, Add (2,3)=68 Succeeded, w=168\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 5, 5: 0, 6: 5}, Find(0)=0, Find(1)=5, Add (0,1)=70 Succeeded, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=89 Failed, w=238\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,2,33],[0,3,14],[0,4,87],[1,2,80],[1,3,56],[1,5,67],[2,3,56],[2,4,41],[3,4,99],[3,5,7],[4,5,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,33],[0,3,14],[0,4,87],[1,2,80],[1,3,56],[1,5,67],[2,3,56],[2,4,41],[3,4,99],[3,5,7],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,33],[0,3,14],[0,4,87],[1,2,80],[1,3,56],[1,5,67],[2,3,56],[2,4,41],[3,4,99],[3,5,7],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,33],[0,3,14],[0,4,87],[1,2,80],[1,3,56],[1,5,67],[2,3,56],[2,4,41],[3,4,99],[3,5,7],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=7, w=7\",\"Add (0,1)=10, w=17\",\"Add (0,3)=14, w=31\",\"Add (0,2)=33, w=64\",\"Add (2,4)=41, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,33],[0,3,14],[0,4,87],[1,2,80],[1,3,56],[1,5,67],[2,3,56],[2,4,41],[3,4,99],[3,5,7],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=7 Succeeded, w=7\",\"Add (0,1)=10 Succeeded, w=17\",\"Add (0,3)=14 Succeeded, w=31\",\"Add (0,2)=33 Succeeded, w=64\",\"Add (2,4)=41 Succeeded, w=105\",\"Add (1,3)=56 Failed, w=105\",\"Add (2,3)=56 Failed, w=105\",\"Add (4,5)=66 Failed, w=105\",\"Add (1,5)=67 Failed, w=105\",\"Add (1,2)=80 Failed, w=105\",\"Add (0,4)=87 Failed, w=105\",\"Add (3,4)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,33],[0,3,14],[0,4,87],[1,2,80],[1,3,56],[1,5,67],[2,3,56],[2,4,41],[3,4,99],[3,5,7],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=7,(0,1)=10,(0,3)=14,(0,2)=33,(2,4)=41,(1,3)=56,(2,3)=56,(4,5)=66,(1,5)=67,(1,2)=80,(0,4)=87,(3,4)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=17\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=31\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=64\",\"Find(2)=0, Find(4)=4, Add (2,4)=41 Succeeded, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=105\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=105\",\"Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=105\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=105\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=105\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,33],[0,3,14],[0,4,87],[1,2,80],[1,3,56],[1,5,67],[2,3,56],[2,4,41],[3,4,99],[3,5,7],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=7,(0,1)=10,(0,3)=14,(0,2)=33,(2,4)=41,(1,3)=56,(2,3)=56,(4,5)=66,(1,5)=67,(1,2)=80,(0,4)=87,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(4)=4, Add (2,4)=41 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,30],[0,3,52],[0,5,62],[0,7,52],[1,3,46],[1,4,89],[1,5,63],[1,7,76],[2,3,98],[2,4,13],[2,5,81],[2,6,0],[2,7,58],[3,4,5],[3,7,72],[4,6,27],[4,7,82],[5,6,92],[5,7,14],[6,7,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,30],[0,3,52],[0,5,62],[0,7,52],[1,3,46],[1,4,89],[1,5,63],[1,7,76],[2,3,98],[2,4,13],[2,5,81],[2,6,0],[2,7,58],[3,4,5],[3,7,72],[4,6,27],[4,7,82],[5,6,92],[5,7,14],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,30],[0,3,52],[0,5,62],[0,7,52],[1,3,46],[1,4,89],[1,5,63],[1,7,76],[2,3,98],[2,4,13],[2,5,81],[2,6,0],[2,7,58],[3,4,5],[3,7,72],[4,6,27],[4,7,82],[5,6,92],[5,7,14],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (5,7)\",\"Add (0,2)\",\"Add (6,7)\",\"Add (0,1)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,30],[0,3,52],[0,5,62],[0,7,52],[1,3,46],[1,4,89],[1,5,63],[1,7,76],[2,3,98],[2,4,13],[2,5,81],[2,6,0],[2,7,58],[3,4,5],[3,7,72],[4,6,27],[4,7,82],[5,6,92],[5,7,14],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0, w=0\",\"Add (3,4)=5, w=5\",\"Add (2,4)=13, w=18\",\"Add (5,7)=14, w=32\",\"Add (0,2)=30, w=62\",\"Add (6,7)=31, w=93\",\"Add (0,1)=34, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,30],[0,3,52],[0,5,62],[0,7,52],[1,3,46],[1,4,89],[1,5,63],[1,7,76],[2,3,98],[2,4,13],[2,5,81],[2,6,0],[2,7,58],[3,4,5],[3,7,72],[4,6,27],[4,7,82],[5,6,92],[5,7,14],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0 Succeeded, w=0\",\"Add (3,4)=5 Succeeded, w=5\",\"Add (2,4)=13 Succeeded, w=18\",\"Add (5,7)=14 Succeeded, w=32\",\"Add (4,6)=27 Failed, w=32\",\"Add (0,2)=30 Succeeded, w=62\",\"Add (6,7)=31 Succeeded, w=93\",\"Add (0,1)=34 Succeeded, w=127\",\"Add (1,3)=46 Failed, w=127\",\"Add (0,3)=52 Failed, w=127\",\"Add (0,7)=52 Failed, w=127\",\"Add (2,7)=58 Failed, w=127\",\"Add (0,5)=62 Failed, w=127\",\"Add (1,5)=63 Failed, w=127\",\"Add (3,7)=72 Failed, w=127\",\"Add (1,7)=76 Failed, w=127\",\"Add (2,5)=81 Failed, w=127\",\"Add (4,7)=82 Failed, w=127\",\"Add (1,4)=89 Failed, w=127\",\"Add (5,6)=92 Failed, w=127\",\"Add (2,3)=98 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,30],[0,3,52],[0,5,62],[0,7,52],[1,3,46],[1,4,89],[1,5,63],[1,7,76],[2,3,98],[2,4,13],[2,5,81],[2,6,0],[2,7,58],[3,4,5],[3,7,72],[4,6,27],[4,7,82],[5,6,92],[5,7,14],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(3,4)=5,(2,4)=13,(5,7)=14,(4,6)=27,(0,2)=30,(6,7)=31,(0,1)=34,(1,3)=46,(0,3)=52,(0,7)=52,(2,7)=58,(0,5)=62,(1,5)=63,(3,7)=72,(1,7)=76,(2,5)=81,(4,7)=82,(1,4)=89,(5,6)=92,(2,3)=98]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=3, Add (2,4)=13 Succeeded, w=18\",\"Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=32\",\"Find(4)=2, Find(6)=2, Add (4,6)=27 Failed, w=32\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=62\",\"Find(6)=2, Find(7)=5, Add (6,7)=31 Succeeded, w=93\",\"Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=127\",\"Find(1)=2, Find(3)=2, Add (1,3)=46 Failed, w=127\",\"Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=127\",\"Find(0)=2, Find(7)=2, Add (0,7)=52 Failed, w=127\",\"Find(2)=2, Find(7)=2, Add (2,7)=58 Failed, w=127\",\"Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=127\",\"Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=127\",\"Find(3)=2, Find(7)=2, Add (3,7)=72 Failed, w=127\",\"Find(1)=2, Find(7)=2, Add (1,7)=76 Failed, w=127\",\"Find(2)=2, Find(5)=2, Add (2,5)=81 Failed, w=127\",\"Find(4)=2, Find(7)=2, Add (4,7)=82 Failed, w=127\",\"Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=127\",\"Find(5)=2, Find(6)=2, Add (5,6)=92 Failed, w=127\",\"Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,30],[0,3,52],[0,5,62],[0,7,52],[1,3,46],[1,4,89],[1,5,63],[1,7,76],[2,3,98],[2,4,13],[2,5,81],[2,6,0],[2,7,58],[3,4,5],[3,7,72],[4,6,27],[4,7,82],[5,6,92],[5,7,14],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(3,4)=5,(2,4)=13,(5,7)=14,(4,6)=27,(0,2)=30,(6,7)=31,(0,1)=34,(1,3)=46,(0,3)=52,(0,7)=52,(2,7)=58,(0,5)=62,(1,5)=63,(3,7)=72,(1,7)=76,(2,5)=81,(4,7)=82,(1,4)=89,(5,6)=92,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(4)=3, Add (2,4)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 5, 6: 2, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 5}, Find(4)=2, Find(6)=2, Add (4,6)=27 Failed, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 5}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(6)=2, Find(7)=5, Add (6,7)=31 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(1)=2, Find(3)=2, Add (1,3)=46 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 5}, Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=127\",\"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)=52 Failed, w=127\",\"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)=58 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=127\",\"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)=63 Failed, w=127\",\"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)=72 Failed, w=127\",\"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)=76 Failed, w=127\",\"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)=81 Failed, w=127\",\"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)=82 Failed, w=127\",\"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)=89 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=92 Failed, w=127\",\"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)=98 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,2,14],[0,3,71],[0,4,54],[0,5,78],[0,7,26],[1,2,24],[1,3,93],[1,4,20],[1,5,66],[1,6,18],[1,7,81],[2,4,22],[2,5,6],[2,6,9],[2,7,33],[3,4,56],[3,5,0],[3,6,67],[3,7,43],[4,5,65],[4,6,91],[4,7,90],[5,6,91],[5,7,88],[6,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,14],[0,3,71],[0,4,54],[0,5,78],[0,7,26],[1,2,24],[1,3,93],[1,4,20],[1,5,66],[1,6,18],[1,7,81],[2,4,22],[2,5,6],[2,6,9],[2,7,33],[3,4,56],[3,5,0],[3,6,67],[3,7,43],[4,5,65],[4,6,91],[4,7,90],[5,6,91],[5,7,88],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,14],[0,3,71],[0,4,54],[0,5,78],[0,7,26],[1,2,24],[1,3,93],[1,4,20],[1,5,66],[1,6,18],[1,7,81],[2,4,22],[2,5,6],[2,6,9],[2,7,33],[3,4,56],[3,5,0],[3,6,67],[3,7,43],[4,5,65],[4,6,91],[4,7,90],[5,6,91],[5,7,88],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (1,4)\",\"Add (0,7)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,14],[0,3,71],[0,4,54],[0,5,78],[0,7,26],[1,2,24],[1,3,93],[1,4,20],[1,5,66],[1,6,18],[1,7,81],[2,4,22],[2,5,6],[2,6,9],[2,7,33],[3,4,56],[3,5,0],[3,6,67],[3,7,43],[4,5,65],[4,6,91],[4,7,90],[5,6,91],[5,7,88],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (2,5)=6, w=6\",\"Add (2,6)=9, w=15\",\"Add (0,2)=14, w=29\",\"Add (1,6)=18, w=47\",\"Add (1,4)=20, w=67\",\"Add (0,7)=26, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,14],[0,3,71],[0,4,54],[0,5,78],[0,7,26],[1,2,24],[1,3,93],[1,4,20],[1,5,66],[1,6,18],[1,7,81],[2,4,22],[2,5,6],[2,6,9],[2,7,33],[3,4,56],[3,5,0],[3,6,67],[3,7,43],[4,5,65],[4,6,91],[4,7,90],[5,6,91],[5,7,88],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (2,5)=6 Succeeded, w=6\",\"Add (2,6)=9 Succeeded, w=15\",\"Add (0,2)=14 Succeeded, w=29\",\"Add (1,6)=18 Succeeded, w=47\",\"Add (1,4)=20 Succeeded, w=67\",\"Add (2,4)=22 Failed, w=67\",\"Add (1,2)=24 Failed, w=67\",\"Add (0,7)=26 Succeeded, w=93\",\"Add (2,7)=33 Failed, w=93\",\"Add (0,1)=41 Failed, w=93\",\"Add (3,7)=43 Failed, w=93\",\"Add (0,4)=54 Failed, w=93\",\"Add (3,4)=56 Failed, w=93\",\"Add (6,7)=59 Failed, w=93\",\"Add (4,5)=65 Failed, w=93\",\"Add (1,5)=66 Failed, w=93\",\"Add (3,6)=67 Failed, w=93\",\"Add (0,3)=71 Failed, w=93\",\"Add (0,5)=78 Failed, w=93\",\"Add (1,7)=81 Failed, w=93\",\"Add (5,7)=88 Failed, w=93\",\"Add (4,7)=90 Failed, w=93\",\"Add (4,6)=91 Failed, w=93\",\"Add (5,6)=91 Failed, w=93\",\"Add (1,3)=93 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,14],[0,3,71],[0,4,54],[0,5,78],[0,7,26],[1,2,24],[1,3,93],[1,4,20],[1,5,66],[1,6,18],[1,7,81],[2,4,22],[2,5,6],[2,6,9],[2,7,33],[3,4,56],[3,5,0],[3,6,67],[3,7,43],[4,5,65],[4,6,91],[4,7,90],[5,6,91],[5,7,88],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(2,5)=6,(2,6)=9,(0,2)=14,(1,6)=18,(1,4)=20,(2,4)=22,(1,2)=24,(0,7)=26,(2,7)=33,(0,1)=41,(3,7)=43,(0,4)=54,(3,4)=56,(6,7)=59,(4,5)=65,(1,5)=66,(3,6)=67,(0,3)=71,(0,5)=78,(1,7)=81,(5,7)=88,(4,7)=90,(4,6)=91,(5,6)=91,(1,3)=93]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=3, Add (2,5)=6 Succeeded, w=6\",\"Find(2)=3, Find(6)=6, Add (2,6)=9 Succeeded, w=15\",\"Find(0)=0, Find(2)=3, Add (0,2)=14 Succeeded, w=29\",\"Find(1)=1, Find(6)=3, Add (1,6)=18 Succeeded, w=47\",\"Find(1)=3, Find(4)=4, Add (1,4)=20 Succeeded, w=67\",\"Find(2)=3, Find(4)=3, Add (2,4)=22 Failed, w=67\",\"Find(1)=3, Find(2)=3, Add (1,2)=24 Failed, w=67\",\"Find(0)=3, Find(7)=7, Add (0,7)=26 Succeeded, w=93\",\"Find(2)=3, Find(7)=3, Add (2,7)=33 Failed, w=93\",\"Find(0)=3, Find(1)=3, Add (0,1)=41 Failed, w=93\",\"Find(3)=3, Find(7)=3, Add (3,7)=43 Failed, w=93\",\"Find(0)=3, Find(4)=3, Add (0,4)=54 Failed, w=93\",\"Find(3)=3, Find(4)=3, Add (3,4)=56 Failed, w=93\",\"Find(6)=3, Find(7)=3, Add (6,7)=59 Failed, w=93\",\"Find(4)=3, Find(5)=3, Add (4,5)=65 Failed, w=93\",\"Find(1)=3, Find(5)=3, Add (1,5)=66 Failed, w=93\",\"Find(3)=3, Find(6)=3, Add (3,6)=67 Failed, w=93\",\"Find(0)=3, Find(3)=3, Add (0,3)=71 Failed, w=93\",\"Find(0)=3, Find(5)=3, Add (0,5)=78 Failed, w=93\",\"Find(1)=3, Find(7)=3, Add (1,7)=81 Failed, w=93\",\"Find(5)=3, Find(7)=3, Add (5,7)=88 Failed, w=93\",\"Find(4)=3, Find(7)=3, Add (4,7)=90 Failed, w=93\",\"Find(4)=3, Find(6)=3, Add (4,6)=91 Failed, w=93\",\"Find(5)=3, Find(6)=3, Add (5,6)=91 Failed, w=93\",\"Find(1)=3, Find(3)=3, Add (1,3)=93 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,14],[0,3,71],[0,4,54],[0,5,78],[0,7,26],[1,2,24],[1,3,93],[1,4,20],[1,5,66],[1,6,18],[1,7,81],[2,4,22],[2,5,6],[2,6,9],[2,7,33],[3,4,56],[3,5,0],[3,6,67],[3,7,43],[4,5,65],[4,6,91],[4,7,90],[5,6,91],[5,7,88],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(2,5)=6,(2,6)=9,(0,2)=14,(1,6)=18,(1,4)=20,(2,4)=22,(1,2)=24,(0,7)=26,(2,7)=33,(0,1)=41,(3,7)=43,(0,4)=54,(3,4)=56,(6,7)=59,(4,5)=65,(1,5)=66,(3,6)=67,(0,3)=71,(0,5)=78,(1,7)=81,(5,7)=88,(4,7)=90,(4,6)=91,(5,6)=91,(1,3)=93]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(2)=2, Find(5)=3, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(2)=3, Find(6)=6, Add (2,6)=9 Succeeded, w=15\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(0)=0, Find(2)=3, Add (0,2)=14 Succeeded, w=29\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(1)=1, Find(6)=3, Add (1,6)=18 Succeeded, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=3, Find(4)=4, Add (1,4)=20 Succeeded, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(2)=3, Find(4)=3, Add (2,4)=22 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=3, Find(2)=3, Add (1,2)=24 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=7, Add (0,7)=26 Succeeded, w=93\",\"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)=33 Failed, w=93\",\"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)=41 Failed, w=93\",\"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)=43 Failed, w=93\",\"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)=54 Failed, w=93\",\"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)=56 Failed, w=93\",\"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)=59 Failed, w=93\",\"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)=65 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=66 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=67 Failed, w=93\",\"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)=71 Failed, w=93\",\"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)=78 Failed, w=93\",\"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)=81 Failed, w=93\",\"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)=88 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=90 Failed, w=93\",\"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)=91 Failed, w=93\",\"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)=91 Failed, w=93\",\"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)=93 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,38],[0,3,78],[1,2,32],[1,3,68],[2,3,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,38],[0,3,78],[1,2,32],[1,3,68],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,38],[0,3,78],[1,2,32],[1,3,68],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,38],[0,3,78],[1,2,32],[1,3,68],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (1,2)=32, w=34\",\"Add (0,2)=38, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,38],[0,3,78],[1,2,32],[1,3,68],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (1,2)=32 Succeeded, w=34\",\"Add (0,2)=38 Succeeded, w=72\",\"Add (1,3)=68 Failed, w=72\",\"Add (0,1)=77 Failed, w=72\",\"Add (0,3)=78 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,38],[0,3,78],[1,2,32],[1,3,68],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(1,2)=32,(0,2)=38,(1,3)=68,(0,1)=77,(0,3)=78]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=72\",\"Find(1)=2, Find(3)=2, Add (1,3)=68 Failed, w=72\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=72\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,38],[0,3,78],[1,2,32],[1,3,68],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(1,2)=32,(0,2)=38,(1,3)=68,(0,1)=77,(0,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=68 Failed, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,24],[0,2,68],[0,3,51],[0,4,79],[0,5,65],[0,6,65],[0,7,36],[1,2,91],[1,3,32],[1,4,65],[1,5,73],[1,6,87],[1,7,16],[2,3,83],[2,4,60],[2,5,47],[2,6,57],[2,7,44],[3,4,19],[3,5,32],[3,6,91],[3,7,24],[4,5,31],[4,6,96],[4,7,5],[5,6,71],[5,7,62],[6,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,68],[0,3,51],[0,4,79],[0,5,65],[0,6,65],[0,7,36],[1,2,91],[1,3,32],[1,4,65],[1,5,73],[1,6,87],[1,7,16],[2,3,83],[2,4,60],[2,5,47],[2,6,57],[2,7,44],[3,4,19],[3,5,32],[3,6,91],[3,7,24],[4,5,31],[4,6,96],[4,7,5],[5,6,71],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,68],[0,3,51],[0,4,79],[0,5,65],[0,6,65],[0,7,36],[1,2,91],[1,3,32],[1,4,65],[1,5,73],[1,6,87],[1,7,16],[2,3,83],[2,4,60],[2,5,47],[2,6,57],[2,7,44],[3,4,19],[3,5,32],[3,6,91],[3,7,24],[4,5,31],[4,6,96],[4,7,5],[5,6,71],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (1,7)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,7)\",\"Add (2,6)\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,68],[0,3,51],[0,4,79],[0,5,65],[0,6,65],[0,7,36],[1,2,91],[1,3,32],[1,4,65],[1,5,73],[1,6,87],[1,7,16],[2,3,83],[2,4,60],[2,5,47],[2,6,57],[2,7,44],[3,4,19],[3,5,32],[3,6,91],[3,7,24],[4,5,31],[4,6,96],[4,7,5],[5,6,71],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=5, w=5\",\"Add (1,7)=16, w=21\",\"Add (3,4)=19, w=40\",\"Add (0,1)=24, w=64\",\"Add (4,5)=31, w=95\",\"Add (2,7)=44, w=139\",\"Add (2,6)=57, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,68],[0,3,51],[0,4,79],[0,5,65],[0,6,65],[0,7,36],[1,2,91],[1,3,32],[1,4,65],[1,5,73],[1,6,87],[1,7,16],[2,3,83],[2,4,60],[2,5,47],[2,6,57],[2,7,44],[3,4,19],[3,5,32],[3,6,91],[3,7,24],[4,5,31],[4,6,96],[4,7,5],[5,6,71],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=5 Succeeded, w=5\",\"Add (1,7)=16 Succeeded, w=21\",\"Add (3,4)=19 Succeeded, w=40\",\"Add (0,1)=24 Succeeded, w=64\",\"Add (3,7)=24 Failed, w=64\",\"Add (4,5)=31 Succeeded, w=95\",\"Add (1,3)=32 Failed, w=95\",\"Add (3,5)=32 Failed, w=95\",\"Add (0,7)=36 Failed, w=95\",\"Add (2,7)=44 Succeeded, w=139\",\"Add (2,5)=47 Failed, w=139\",\"Add (0,3)=51 Failed, w=139\",\"Add (2,6)=57 Succeeded, w=196\",\"Add (2,4)=60 Failed, w=196\",\"Add (5,7)=62 Failed, w=196\",\"Add (0,5)=65 Failed, w=196\",\"Add (0,6)=65 Failed, w=196\",\"Add (1,4)=65 Failed, w=196\",\"Add (0,2)=68 Failed, w=196\",\"Add (5,6)=71 Failed, w=196\",\"Add (1,5)=73 Failed, w=196\",\"Add (6,7)=77 Failed, w=196\",\"Add (0,4)=79 Failed, w=196\",\"Add (2,3)=83 Failed, w=196\",\"Add (1,6)=87 Failed, w=196\",\"Add (1,2)=91 Failed, w=196\",\"Add (3,6)=91 Failed, w=196\",\"Add (4,6)=96 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,68],[0,3,51],[0,4,79],[0,5,65],[0,6,65],[0,7,36],[1,2,91],[1,3,32],[1,4,65],[1,5,73],[1,6,87],[1,7,16],[2,3,83],[2,4,60],[2,5,47],[2,6,57],[2,7,44],[3,4,19],[3,5,32],[3,6,91],[3,7,24],[4,5,31],[4,6,96],[4,7,5],[5,6,71],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=5,(1,7)=16,(3,4)=19,(0,1)=24,(3,7)=24,(4,5)=31,(1,3)=32,(3,5)=32,(0,7)=36,(2,7)=44,(2,5)=47,(0,3)=51,(2,6)=57,(2,4)=60,(5,7)=62,(0,5)=65,(0,6)=65,(1,4)=65,(0,2)=68,(5,6)=71,(1,5)=73,(6,7)=77,(0,4)=79,(2,3)=83,(1,6)=87,(1,2)=91,(3,6)=91,(4,6)=96]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=5 Succeeded, w=5\",\"Find(1)=1, Find(7)=4, Add (1,7)=16 Succeeded, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=40\",\"Find(0)=0, Find(1)=4, Add (0,1)=24 Succeeded, w=64\",\"Find(3)=4, Find(7)=4, Add (3,7)=24 Failed, w=64\",\"Find(4)=4, Find(5)=5, Add (4,5)=31 Succeeded, w=95\",\"Find(1)=4, Find(3)=4, Add (1,3)=32 Failed, w=95\",\"Find(3)=4, Find(5)=4, Add (3,5)=32 Failed, w=95\",\"Find(0)=4, Find(7)=4, Add (0,7)=36 Failed, w=95\",\"Find(2)=2, Find(7)=4, Add (2,7)=44 Succeeded, w=139\",\"Find(2)=4, Find(5)=4, Add (2,5)=47 Failed, w=139\",\"Find(0)=4, Find(3)=4, Add (0,3)=51 Failed, w=139\",\"Find(2)=4, Find(6)=6, Add (2,6)=57 Succeeded, w=196\",\"Find(2)=4, Find(4)=4, Add (2,4)=60 Failed, w=196\",\"Find(5)=4, Find(7)=4, Add (5,7)=62 Failed, w=196\",\"Find(0)=4, Find(5)=4, Add (0,5)=65 Failed, w=196\",\"Find(0)=4, Find(6)=4, Add (0,6)=65 Failed, w=196\",\"Find(1)=4, Find(4)=4, Add (1,4)=65 Failed, w=196\",\"Find(0)=4, Find(2)=4, Add (0,2)=68 Failed, w=196\",\"Find(5)=4, Find(6)=4, Add (5,6)=71 Failed, w=196\",\"Find(1)=4, Find(5)=4, Add (1,5)=73 Failed, w=196\",\"Find(6)=4, Find(7)=4, Add (6,7)=77 Failed, w=196\",\"Find(0)=4, Find(4)=4, Add (0,4)=79 Failed, w=196\",\"Find(2)=4, Find(3)=4, Add (2,3)=83 Failed, w=196\",\"Find(1)=4, Find(6)=4, Add (1,6)=87 Failed, w=196\",\"Find(1)=4, Find(2)=4, Add (1,2)=91 Failed, w=196\",\"Find(3)=4, Find(6)=4, Add (3,6)=91 Failed, w=196\",\"Find(4)=4, Find(6)=4, Add (4,6)=96 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,68],[0,3,51],[0,4,79],[0,5,65],[0,6,65],[0,7,36],[1,2,91],[1,3,32],[1,4,65],[1,5,73],[1,6,87],[1,7,16],[2,3,83],[2,4,60],[2,5,47],[2,6,57],[2,7,44],[3,4,19],[3,5,32],[3,6,91],[3,7,24],[4,5,31],[4,6,96],[4,7,5],[5,6,71],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=5,(1,7)=16,(3,4)=19,(0,1)=24,(3,7)=24,(4,5)=31,(1,3)=32,(3,5)=32,(0,7)=36,(2,7)=44,(2,5)=47,(0,3)=51,(2,6)=57,(2,4)=60,(5,7)=62,(0,5)=65,(0,6)=65,(1,4)=65,(0,2)=68,(5,6)=71,(1,5)=73,(6,7)=77,(0,4)=79,(2,3)=83,(1,6)=87,(1,2)=91,(3,6)=91,(4,6)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=16 Succeeded, w=21\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 6, 7: 4}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=40\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(1)=4, Add (0,1)=24 Succeeded, w=64\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 6, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=24 Failed, w=64\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(4)=4, Find(5)=5, Add (4,5)=31 Succeeded, w=95\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=32 Failed, w=95\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=32 Failed, w=95\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=36 Failed, w=95\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=44 Succeeded, w=139\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=47 Failed, w=139\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=51 Failed, w=139\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=6, Add (2,6)=57 Succeeded, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=60 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=62 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=65 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=65 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=65 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=68 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=71 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=73 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=77 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=79 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=83 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=87 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=91 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=91 Failed, w=196\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=96 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,17],[0,2,26],[0,3,77],[0,4,34],[0,6,60],[1,2,74],[1,3,26],[1,5,95],[1,6,29],[2,3,50],[2,4,83],[3,5,20],[3,6,72],[4,5,8],[4,6,32],[5,6,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,26],[0,3,77],[0,4,34],[0,6,60],[1,2,74],[1,3,26],[1,5,95],[1,6,29],[2,3,50],[2,4,83],[3,5,20],[3,6,72],[4,5,8],[4,6,32],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,26],[0,3,77],[0,4,34],[0,6,60],[1,2,74],[1,3,26],[1,5,95],[1,6,29],[2,3,50],[2,4,83],[3,5,20],[3,6,72],[4,5,8],[4,6,32],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,6)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,26],[0,3,77],[0,4,34],[0,6,60],[1,2,74],[1,3,26],[1,5,95],[1,6,29],[2,3,50],[2,4,83],[3,5,20],[3,6,72],[4,5,8],[4,6,32],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8, w=8\",\"Add (0,1)=17, w=25\",\"Add (3,5)=20, w=45\",\"Add (0,2)=26, w=71\",\"Add (1,3)=26, w=97\",\"Add (1,6)=29, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,26],[0,3,77],[0,4,34],[0,6,60],[1,2,74],[1,3,26],[1,5,95],[1,6,29],[2,3,50],[2,4,83],[3,5,20],[3,6,72],[4,5,8],[4,6,32],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8 Succeeded, w=8\",\"Add (0,1)=17 Succeeded, w=25\",\"Add (3,5)=20 Succeeded, w=45\",\"Add (0,2)=26 Succeeded, w=71\",\"Add (1,3)=26 Succeeded, w=97\",\"Add (1,6)=29 Succeeded, w=126\",\"Add (4,6)=32 Failed, w=126\",\"Add (0,4)=34 Failed, w=126\",\"Add (2,3)=50 Failed, w=126\",\"Add (0,6)=60 Failed, w=126\",\"Add (3,6)=72 Failed, w=126\",\"Add (1,2)=74 Failed, w=126\",\"Add (0,3)=77 Failed, w=126\",\"Add (2,4)=83 Failed, w=126\",\"Add (5,6)=89 Failed, w=126\",\"Add (1,5)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,26],[0,3,77],[0,4,34],[0,6,60],[1,2,74],[1,3,26],[1,5,95],[1,6,29],[2,3,50],[2,4,83],[3,5,20],[3,6,72],[4,5,8],[4,6,32],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(0,1)=17,(3,5)=20,(0,2)=26,(1,3)=26,(1,6)=29,(4,6)=32,(0,4)=34,(2,3)=50,(0,6)=60,(3,6)=72,(1,2)=74,(0,3)=77,(2,4)=83,(5,6)=89,(1,5)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=25\",\"Find(3)=3, Find(5)=4, Add (3,5)=20 Succeeded, w=45\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=71\",\"Find(1)=0, Find(3)=4, Add (1,3)=26 Succeeded, w=97\",\"Find(1)=0, Find(6)=6, Add (1,6)=29 Succeeded, w=126\",\"Find(4)=0, Find(6)=0, Add (4,6)=32 Failed, w=126\",\"Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=126\",\"Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=126\",\"Find(3)=0, Find(6)=0, Add (3,6)=72 Failed, w=126\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=126\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=126\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=126\",\"Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=126\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,26],[0,3,77],[0,4,34],[0,6,60],[1,2,74],[1,3,26],[1,5,95],[1,6,29],[2,3,50],[2,4,83],[3,5,20],[3,6,72],[4,5,8],[4,6,32],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(0,1)=17,(3,5)=20,(0,2)=26,(1,3)=26,(1,6)=29,(4,6)=32,(0,4)=34,(2,3)=50,(0,6)=60,(3,6)=72,(1,2)=74,(0,3)=77,(2,4)=83,(5,6)=89,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(5)=4, Add (3,5)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(3)=4, Add (1,3)=26 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=29 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=32 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=72 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,22],[0,2,95],[0,3,68],[1,2,47],[1,3,4],[2,3,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,95],[0,3,68],[1,2,47],[1,3,4],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,95],[0,3,68],[1,2,47],[1,3,4],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,95],[0,3,68],[1,2,47],[1,3,4],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,1)=22, w=26\",\"Add (2,3)=25, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,95],[0,3,68],[1,2,47],[1,3,4],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,1)=22 Succeeded, w=26\",\"Add (2,3)=25 Succeeded, w=51\",\"Add (1,2)=47 Failed, w=51\",\"Add (0,3)=68 Failed, w=51\",\"Add (0,2)=95 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,95],[0,3,68],[1,2,47],[1,3,4],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=22,(2,3)=25,(1,2)=47,(0,3)=68,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=26\",\"Find(2)=2, Find(3)=1, Add (2,3)=25 Succeeded, w=51\",\"Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=51\",\"Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=51\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,95],[0,3,68],[1,2,47],[1,3,4],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=22,(2,3)=25,(1,2)=47,(0,3)=68,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=25 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,2,15],[0,3,30],[0,5,0],[0,6,84],[0,7,29],[1,2,40],[1,4,41],[1,5,77],[1,7,52],[2,3,7],[2,4,76],[2,5,10],[2,6,5],[2,7,35],[3,5,55],[3,6,51],[3,7,84],[4,5,76],[4,6,43],[5,6,11],[5,7,4],[6,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,15],[0,3,30],[0,5,0],[0,6,84],[0,7,29],[1,2,40],[1,4,41],[1,5,77],[1,7,52],[2,3,7],[2,4,76],[2,5,10],[2,6,5],[2,7,35],[3,5,55],[3,6,51],[3,7,84],[4,5,76],[4,6,43],[5,6,11],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,15],[0,3,30],[0,5,0],[0,6,84],[0,7,29],[1,2,40],[1,4,41],[1,5,77],[1,7,52],[2,3,7],[2,4,76],[2,5,10],[2,6,5],[2,7,35],[3,5,55],[3,6,51],[3,7,84],[4,5,76],[4,6,43],[5,6,11],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (5,7)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,15],[0,3,30],[0,5,0],[0,6,84],[0,7,29],[1,2,40],[1,4,41],[1,5,77],[1,7,52],[2,3,7],[2,4,76],[2,5,10],[2,6,5],[2,7,35],[3,5,55],[3,6,51],[3,7,84],[4,5,76],[4,6,43],[5,6,11],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (5,7)=4, w=4\",\"Add (2,6)=5, w=9\",\"Add (2,3)=7, w=16\",\"Add (0,1)=10, w=26\",\"Add (2,5)=10, w=36\",\"Add (1,4)=41, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,15],[0,3,30],[0,5,0],[0,6,84],[0,7,29],[1,2,40],[1,4,41],[1,5,77],[1,7,52],[2,3,7],[2,4,76],[2,5,10],[2,6,5],[2,7,35],[3,5,55],[3,6,51],[3,7,84],[4,5,76],[4,6,43],[5,6,11],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (5,7)=4 Succeeded, w=4\",\"Add (2,6)=5 Succeeded, w=9\",\"Add (2,3)=7 Succeeded, w=16\",\"Add (0,1)=10 Succeeded, w=26\",\"Add (2,5)=10 Succeeded, w=36\",\"Add (5,6)=11 Failed, w=36\",\"Add (0,2)=15 Failed, w=36\",\"Add (0,7)=29 Failed, w=36\",\"Add (0,3)=30 Failed, w=36\",\"Add (2,7)=35 Failed, w=36\",\"Add (1,2)=40 Failed, w=36\",\"Add (1,4)=41 Succeeded, w=77\",\"Add (4,6)=43 Failed, w=77\",\"Add (6,7)=49 Failed, w=77\",\"Add (3,6)=51 Failed, w=77\",\"Add (1,7)=52 Failed, w=77\",\"Add (3,5)=55 Failed, w=77\",\"Add (2,4)=76 Failed, w=77\",\"Add (4,5)=76 Failed, w=77\",\"Add (1,5)=77 Failed, w=77\",\"Add (0,6)=84 Failed, w=77\",\"Add (3,7)=84 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,15],[0,3,30],[0,5,0],[0,6,84],[0,7,29],[1,2,40],[1,4,41],[1,5,77],[1,7,52],[2,3,7],[2,4,76],[2,5,10],[2,6,5],[2,7,35],[3,5,55],[3,6,51],[3,7,84],[4,5,76],[4,6,43],[5,6,11],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(5,7)=4,(2,6)=5,(2,3)=7,(0,1)=10,(2,5)=10,(5,6)=11,(0,2)=15,(0,7)=29,(0,3)=30,(2,7)=35,(1,2)=40,(1,4)=41,(4,6)=43,(6,7)=49,(3,6)=51,(1,7)=52,(3,5)=55,(2,4)=76,(4,5)=76,(1,5)=77,(0,6)=84,(3,7)=84]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(5)=0, Find(7)=7, Add (5,7)=4 Succeeded, w=4\",\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=26\",\"Find(2)=2, Find(5)=0, Add (2,5)=10 Succeeded, w=36\",\"Find(5)=2, Find(6)=2, Add (5,6)=11 Failed, w=36\",\"Find(0)=2, Find(2)=2, Add (0,2)=15 Failed, w=36\",\"Find(0)=2, Find(7)=2, Add (0,7)=29 Failed, w=36\",\"Find(0)=2, Find(3)=2, Add (0,3)=30 Failed, w=36\",\"Find(2)=2, Find(7)=2, Add (2,7)=35 Failed, w=36\",\"Find(1)=2, Find(2)=2, Add (1,2)=40 Failed, w=36\",\"Find(1)=2, Find(4)=4, Add (1,4)=41 Succeeded, w=77\",\"Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=77\",\"Find(6)=2, Find(7)=2, Add (6,7)=49 Failed, w=77\",\"Find(3)=2, Find(6)=2, Add (3,6)=51 Failed, w=77\",\"Find(1)=2, Find(7)=2, Add (1,7)=52 Failed, w=77\",\"Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=77\",\"Find(2)=2, Find(4)=2, Add (2,4)=76 Failed, w=77\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=77\",\"Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=77\",\"Find(0)=2, Find(6)=2, Add (0,6)=84 Failed, w=77\",\"Find(3)=2, Find(7)=2, Add (3,7)=84 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,15],[0,3,30],[0,5,0],[0,6,84],[0,7,29],[1,2,40],[1,4,41],[1,5,77],[1,7,52],[2,3,7],[2,4,76],[2,5,10],[2,6,5],[2,7,35],[3,5,55],[3,6,51],[3,7,84],[4,5,76],[4,6,43],[5,6,11],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(5,7)=4,(2,6)=5,(2,3)=7,(0,1)=10,(2,5)=10,(5,6)=11,(0,2)=15,(0,7)=29,(0,3)=30,(2,7)=35,(1,2)=40,(1,4)=41,(4,6)=43,(6,7)=49,(3,6)=51,(1,7)=52,(3,5)=55,(2,4)=76,(4,5)=76,(1,5)=77,(0,6)=84,(3,7)=84]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 0}, Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 2, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=26\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 2, 7: 0}, Find(2)=2, Find(5)=0, Add (2,5)=10 Succeeded, w=36\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 0}, Find(5)=2, Find(6)=2, Add (5,6)=11 Failed, w=36\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 0}, Find(0)=2, Find(2)=2, Add (0,2)=15 Failed, w=36\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=29 Failed, w=36\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=30 Failed, w=36\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=35 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=40 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=4, Add (1,4)=41 Succeeded, w=77\",\"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)=43 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=49 Failed, w=77\",\"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)=51 Failed, w=77\",\"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=77\",\"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)=55 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=76 Failed, w=77\",\"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)=76 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=77\",\"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)=84 Failed, w=77\",\"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)=84 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,50],[0,2,48],[0,3,4],[0,4,24],[0,6,62],[0,7,25],[1,2,61],[1,3,35],[1,6,94],[1,7,63],[2,3,13],[2,5,65],[2,6,92],[2,7,70],[3,4,43],[3,5,93],[3,6,64],[4,5,82],[4,7,17],[5,6,70],[5,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,48],[0,3,4],[0,4,24],[0,6,62],[0,7,25],[1,2,61],[1,3,35],[1,6,94],[1,7,63],[2,3,13],[2,5,65],[2,6,92],[2,7,70],[3,4,43],[3,5,93],[3,6,64],[4,5,82],[4,7,17],[5,6,70],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,48],[0,3,4],[0,4,24],[0,6,62],[0,7,25],[1,2,61],[1,3,35],[1,6,94],[1,7,63],[2,3,13],[2,5,65],[2,6,92],[2,7,70],[3,4,43],[3,5,93],[3,6,64],[4,5,82],[4,7,17],[5,6,70],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (2,5)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,48],[0,3,4],[0,4,24],[0,6,62],[0,7,25],[1,2,61],[1,3,35],[1,6,94],[1,7,63],[2,3,13],[2,5,65],[2,6,92],[2,7,70],[3,4,43],[3,5,93],[3,6,64],[4,5,82],[4,7,17],[5,6,70],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (2,3)=13, w=17\",\"Add (4,7)=17, w=34\",\"Add (0,4)=24, w=58\",\"Add (1,3)=35, w=93\",\"Add (0,6)=62, w=155\",\"Add (2,5)=65, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,48],[0,3,4],[0,4,24],[0,6,62],[0,7,25],[1,2,61],[1,3,35],[1,6,94],[1,7,63],[2,3,13],[2,5,65],[2,6,92],[2,7,70],[3,4,43],[3,5,93],[3,6,64],[4,5,82],[4,7,17],[5,6,70],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (2,3)=13 Succeeded, w=17\",\"Add (4,7)=17 Succeeded, w=34\",\"Add (0,4)=24 Succeeded, w=58\",\"Add (0,7)=25 Failed, w=58\",\"Add (1,3)=35 Succeeded, w=93\",\"Add (3,4)=43 Failed, w=93\",\"Add (0,2)=48 Failed, w=93\",\"Add (0,1)=50 Failed, w=93\",\"Add (1,2)=61 Failed, w=93\",\"Add (0,6)=62 Succeeded, w=155\",\"Add (1,7)=63 Failed, w=155\",\"Add (3,6)=64 Failed, w=155\",\"Add (2,5)=65 Succeeded, w=220\",\"Add (2,7)=70 Failed, w=220\",\"Add (5,6)=70 Failed, w=220\",\"Add (5,7)=77 Failed, w=220\",\"Add (4,5)=82 Failed, w=220\",\"Add (2,6)=92 Failed, w=220\",\"Add (3,5)=93 Failed, w=220\",\"Add (1,6)=94 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,48],[0,3,4],[0,4,24],[0,6,62],[0,7,25],[1,2,61],[1,3,35],[1,6,94],[1,7,63],[2,3,13],[2,5,65],[2,6,92],[2,7,70],[3,4,43],[3,5,93],[3,6,64],[4,5,82],[4,7,17],[5,6,70],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(2,3)=13,(4,7)=17,(0,4)=24,(0,7)=25,(1,3)=35,(3,4)=43,(0,2)=48,(0,1)=50,(1,2)=61,(0,6)=62,(1,7)=63,(3,6)=64,(2,5)=65,(2,7)=70,(5,6)=70,(5,7)=77,(4,5)=82,(2,6)=92,(3,5)=93,(1,6)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=0, Add (2,3)=13 Succeeded, w=17\",\"Find(4)=4, Find(7)=7, Add (4,7)=17 Succeeded, w=34\",\"Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=58\",\"Find(0)=0, Find(7)=0, Add (0,7)=25 Failed, w=58\",\"Find(1)=1, Find(3)=0, Add (1,3)=35 Succeeded, w=93\",\"Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=93\",\"Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=93\",\"Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=93\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=93\",\"Find(0)=0, Find(6)=6, Add (0,6)=62 Succeeded, w=155\",\"Find(1)=0, Find(7)=0, Add (1,7)=63 Failed, w=155\",\"Find(3)=0, Find(6)=0, Add (3,6)=64 Failed, w=155\",\"Find(2)=0, Find(5)=5, Add (2,5)=65 Succeeded, w=220\",\"Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=220\",\"Find(5)=0, Find(6)=0, Add (5,6)=70 Failed, w=220\",\"Find(5)=0, Find(7)=0, Add (5,7)=77 Failed, w=220\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=220\",\"Find(2)=0, Find(6)=0, Add (2,6)=92 Failed, w=220\",\"Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=220\",\"Find(1)=0, Find(6)=0, Add (1,6)=94 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,48],[0,3,4],[0,4,24],[0,6,62],[0,7,25],[1,2,61],[1,3,35],[1,6,94],[1,7,63],[2,3,13],[2,5,65],[2,6,92],[2,7,70],[3,4,43],[3,5,93],[3,6,64],[4,5,82],[4,7,17],[5,6,70],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(2,3)=13,(4,7)=17,(0,4)=24,(0,7)=25,(1,3)=35,(3,4)=43,(0,2)=48,(0,1)=50,(1,2)=61,(0,6)=62,(1,7)=63,(3,6)=64,(2,5)=65,(2,7)=70,(5,6)=70,(5,7)=77,(4,5)=82,(2,6)=92,(3,5)=93,(1,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=13 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=25 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=35 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=62 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=63 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=64 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=65 Succeeded, w=220\",\"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=220\",\"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)=70 Failed, w=220\",\"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)=77 Failed, w=220\",\"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)=82 Failed, w=220\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=92 Failed, w=220\",\"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)=93 Failed, w=220\",\"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)=94 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,30],[0,3,18],[0,4,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,3,18],[0,4,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,3,18],[0,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,3,18],[0,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=18, w=18\",\"Add (0,1)=30, w=48\",\"Add (0,4)=75, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,3,18],[0,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=18 Succeeded, w=18\",\"Add (0,1)=30 Succeeded, w=48\",\"Add (0,4)=75 Succeeded, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,3,18],[0,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=18,(0,1)=30,(0,4)=75]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=48\",\"Find(0)=0, Find(4)=4, Add (0,4)=75 Succeeded, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,3,18],[0,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=18,(0,1)=30,(0,4)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=75 Succeeded, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,24],[0,2,88],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=24, w=24\",\"Add (2,3)=69, w=93\",\"Add (0,2)=88, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=24 Succeeded, w=24\",\"Add (2,3)=69 Succeeded, w=93\",\"Add (0,2)=88 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=24,(2,3)=69,(0,2)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=24\",\"Find(2)=2, Find(3)=3, Add (2,3)=69 Succeeded, w=93\",\"Find(0)=0, Find(2)=2, Add (0,2)=88 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=24,(2,3)=69,(0,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=69 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=88 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,71],[0,2,66],[0,3,22],[0,4,50],[0,5,25],[0,6,19],[0,7,69],[1,3,26],[1,4,61],[1,5,38],[1,6,91],[1,7,82],[2,3,67],[2,4,37],[2,6,4],[2,7,31],[3,4,50],[3,5,31],[3,6,88],[3,7,60],[4,5,2],[4,6,69],[4,7,82],[5,6,65],[5,7,91],[6,7,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,66],[0,3,22],[0,4,50],[0,5,25],[0,6,19],[0,7,69],[1,3,26],[1,4,61],[1,5,38],[1,6,91],[1,7,82],[2,3,67],[2,4,37],[2,6,4],[2,7,31],[3,4,50],[3,5,31],[3,6,88],[3,7,60],[4,5,2],[4,6,69],[4,7,82],[5,6,65],[5,7,91],[6,7,35]]}",
"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\":[[0,1,71],[0,2,66],[0,3,22],[0,4,50],[0,5,25],[0,6,19],[0,7,69],[1,3,26],[1,4,61],[1,5,38],[1,6,91],[1,7,82],[2,3,67],[2,4,37],[2,6,4],[2,7,31],[3,4,50],[3,5,31],[3,6,88],[3,7,60],[4,5,2],[4,6,69],[4,7,82],[5,6,65],[5,7,91],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,7)\"],\"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\":[[0,1,71],[0,2,66],[0,3,22],[0,4,50],[0,5,25],[0,6,19],[0,7,69],[1,3,26],[1,4,61],[1,5,38],[1,6,91],[1,7,82],[2,3,67],[2,4,37],[2,6,4],[2,7,31],[3,4,50],[3,5,31],[3,6,88],[3,7,60],[4,5,2],[4,6,69],[4,7,82],[5,6,65],[5,7,91],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (2,6)=4, w=6\",\"Add (0,6)=19, w=25\",\"Add (0,3)=22, w=47\",\"Add (0,5)=25, w=72\",\"Add (1,3)=26, w=98\",\"Add (2,7)=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\":[[0,1,71],[0,2,66],[0,3,22],[0,4,50],[0,5,25],[0,6,19],[0,7,69],[1,3,26],[1,4,61],[1,5,38],[1,6,91],[1,7,82],[2,3,67],[2,4,37],[2,6,4],[2,7,31],[3,4,50],[3,5,31],[3,6,88],[3,7,60],[4,5,2],[4,6,69],[4,7,82],[5,6,65],[5,7,91],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (2,6)=4 Succeeded, w=6\",\"Add (0,6)=19 Succeeded, w=25\",\"Add (0,3)=22 Succeeded, w=47\",\"Add (0,5)=25 Succeeded, w=72\",\"Add (1,3)=26 Succeeded, w=98\",\"Add (2,7)=31 Succeeded, w=129\",\"Add (3,5)=31 Failed, w=129\",\"Add (6,7)=35 Failed, w=129\",\"Add (2,4)=37 Failed, w=129\",\"Add (1,5)=38 Failed, w=129\",\"Add (0,4)=50 Failed, w=129\",\"Add (3,4)=50 Failed, w=129\",\"Add (3,7)=60 Failed, w=129\",\"Add (1,4)=61 Failed, w=129\",\"Add (5,6)=65 Failed, w=129\",\"Add (0,2)=66 Failed, w=129\",\"Add (2,3)=67 Failed, w=129\",\"Add (0,7)=69 Failed, w=129\",\"Add (4,6)=69 Failed, w=129\",\"Add (0,1)=71 Failed, w=129\",\"Add (1,7)=82 Failed, w=129\",\"Add (4,7)=82 Failed, w=129\",\"Add (3,6)=88 Failed, w=129\",\"Add (1,6)=91 Failed, w=129\",\"Add (5,7)=91 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\":[[0,1,71],[0,2,66],[0,3,22],[0,4,50],[0,5,25],[0,6,19],[0,7,69],[1,3,26],[1,4,61],[1,5,38],[1,6,91],[1,7,82],[2,3,67],[2,4,37],[2,6,4],[2,7,31],[3,4,50],[3,5,31],[3,6,88],[3,7,60],[4,5,2],[4,6,69],[4,7,82],[5,6,65],[5,7,91],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(2,6)=4,(0,6)=19,(0,3)=22,(0,5)=25,(1,3)=26,(2,7)=31,(3,5)=31,(6,7)=35,(2,4)=37,(1,5)=38,(0,4)=50,(3,4)=50,(3,7)=60,(1,4)=61,(5,6)=65,(0,2)=66,(2,3)=67,(0,7)=69,(4,6)=69,(0,1)=71,(1,7)=82,(4,7)=82,(3,6)=88,(1,6)=91,(5,7)=91]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=6\",\"Find(0)=0, Find(6)=2, Add (0,6)=19 Succeeded, w=25\",\"Find(0)=2, Find(3)=3, Add (0,3)=22 Succeeded, w=47\",\"Find(0)=2, Find(5)=4, Add (0,5)=25 Succeeded, w=72\",\"Find(1)=1, Find(3)=2, Add (1,3)=26 Succeeded, w=98\",\"Find(2)=2, Find(7)=7, Add (2,7)=31 Succeeded, w=129\",\"Find(3)=2, Find(5)=2, Add (3,5)=31 Failed, w=129\",\"Find(6)=2, Find(7)=2, Add (6,7)=35 Failed, w=129\",\"Find(2)=2, Find(4)=2, Add (2,4)=37 Failed, w=129\",\"Find(1)=2, Find(5)=2, Add (1,5)=38 Failed, w=129\",\"Find(0)=2, Find(4)=2, Add (0,4)=50 Failed, w=129\",\"Find(3)=2, Find(4)=2, Add (3,4)=50 Failed, w=129\",\"Find(3)=2, Find(7)=2, Add (3,7)=60 Failed, w=129\",\"Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=129\",\"Find(5)=2, Find(6)=2, Add (5,6)=65 Failed, w=129\",\"Find(0)=2, Find(2)=2, Add (0,2)=66 Failed, w=129\",\"Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=129\",\"Find(0)=2, Find(7)=2, Add (0,7)=69 Failed, w=129\",\"Find(4)=2, Find(6)=2, Add (4,6)=69 Failed, w=129\",\"Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=129\",\"Find(1)=2, Find(7)=2, Add (1,7)=82 Failed, w=129\",\"Find(4)=2, Find(7)=2, Add (4,7)=82 Failed, w=129\",\"Find(3)=2, Find(6)=2, Add (3,6)=88 Failed, w=129\",\"Find(1)=2, Find(6)=2, Add (1,6)=91 Failed, w=129\",\"Find(5)=2, Find(7)=2, Add (5,7)=91 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\":[[0,1,71],[0,2,66],[0,3,22],[0,4,50],[0,5,25],[0,6,19],[0,7,69],[1,3,26],[1,4,61],[1,5,38],[1,6,91],[1,7,82],[2,3,67],[2,4,37],[2,6,4],[2,7,31],[3,4,50],[3,5,31],[3,6,88],[3,7,60],[4,5,2],[4,6,69],[4,7,82],[5,6,65],[5,7,91],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(2,6)=4,(0,6)=19,(0,3)=22,(0,5)=25,(1,3)=26,(2,7)=31,(3,5)=31,(6,7)=35,(2,4)=37,(1,5)=38,(0,4)=50,(3,4)=50,(3,7)=60,(1,4)=61,(5,6)=65,(0,2)=66,(2,3)=67,(0,7)=69,(4,6)=69,(0,1)=71,(1,7)=82,(4,7)=82,(3,6)=88,(1,6)=91,(5,7)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2, 7: 7}, Find(0)=0, Find(6)=2, Add (0,6)=19 Succeeded, w=25\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2, 7: 7}, Find(0)=2, Find(3)=3, Add (0,3)=22 Succeeded, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 7}, Find(0)=2, Find(5)=4, Add (0,5)=25 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 7}, Find(1)=1, Find(3)=2, Add (1,3)=26 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=31 Succeeded, w=129\",\"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)=31 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=35 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=37 Failed, w=129\",\"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)=38 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=50 Failed, w=129\",\"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)=50 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=60 Failed, w=129\",\"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)=61 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=65 Failed, w=129\",\"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)=66 Failed, w=129\",\"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)=67 Failed, w=129\",\"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)=69 Failed, w=129\",\"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)=69 Failed, w=129\",\"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)=71 Failed, w=129\",\"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)=82 Failed, w=129\",\"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)=82 Failed, w=129\",\"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)=88 Failed, w=129\",\"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)=91 Failed, w=129\",\"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=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,79],[0,2,100],[1,3,3],[2,3,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,100],[1,3,3],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,100],[1,3,3],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,100],[1,3,3],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (0,1)=79, w=82\",\"Add (2,3)=80, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,100],[1,3,3],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (0,1)=79 Succeeded, w=82\",\"Add (2,3)=80 Succeeded, w=162\",\"Add (0,2)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,100],[1,3,3],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,1)=79,(2,3)=80,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=79 Succeeded, w=82\",\"Find(2)=2, Find(3)=1, Add (2,3)=80 Succeeded, w=162\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,100],[1,3,3],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,1)=79,(2,3)=80,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=79 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=80 Succeeded, w=162\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,5],[0,3,19],[0,4,50],[1,2,28],[1,3,97],[1,4,15],[2,3,13],[2,4,39],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,3,19],[0,4,50],[1,2,28],[1,3,97],[1,4,15],[2,3,13],[2,4,39],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,3,19],[0,4,50],[1,2,28],[1,3,97],[1,4,15],[2,3,13],[2,4,39],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,3,19],[0,4,50],[1,2,28],[1,3,97],[1,4,15],[2,3,13],[2,4,39],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (2,3)=13, w=18\",\"Add (1,4)=15, w=33\",\"Add (0,3)=19, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,3,19],[0,4,50],[1,2,28],[1,3,97],[1,4,15],[2,3,13],[2,4,39],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (2,3)=13 Succeeded, w=18\",\"Add (1,4)=15 Succeeded, w=33\",\"Add (0,3)=19 Succeeded, w=52\",\"Add (3,4)=27 Failed, w=52\",\"Add (1,2)=28 Failed, w=52\",\"Add (2,4)=39 Failed, w=52\",\"Add (0,4)=50 Failed, w=52\",\"Add (1,3)=97 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,3,19],[0,4,50],[1,2,28],[1,3,97],[1,4,15],[2,3,13],[2,4,39],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(2,3)=13,(1,4)=15,(0,3)=19,(3,4)=27,(1,2)=28,(2,4)=39,(0,4)=50,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=18\",\"Find(1)=0, Find(4)=4, Add (1,4)=15 Succeeded, w=33\",\"Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=52\",\"Find(3)=0, Find(4)=0, Add (3,4)=27 Failed, w=52\",\"Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=52\",\"Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=52\",\"Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=52\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,3,19],[0,4,50],[1,2,28],[1,3,97],[1,4,15],[2,3,13],[2,4,39],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(2,3)=13,(1,4)=15,(0,3)=19,(3,4)=27,(1,2)=28,(2,4)=39,(0,4)=50,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=15 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=27 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=50 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,100],[0,2,21],[0,3,65],[1,2,15],[1,3,21],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,21],[0,3,65],[1,2,15],[1,3,21],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,21],[0,3,65],[1,2,15],[1,3,21],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,21],[0,3,65],[1,2,15],[1,3,21],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (0,2)=21, w=36\",\"Add (1,3)=21, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,21],[0,3,65],[1,2,15],[1,3,21],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (0,2)=21 Succeeded, w=36\",\"Add (1,3)=21 Succeeded, w=57\",\"Add (2,3)=29 Failed, w=57\",\"Add (0,3)=65 Failed, w=57\",\"Add (0,1)=100 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,21],[0,3,65],[1,2,15],[1,3,21],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(0,2)=21,(1,3)=21,(2,3)=29,(0,3)=65,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=1, Add (0,2)=21 Succeeded, w=36\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=57\",\"Find(2)=1, Find(3)=1, Add (2,3)=29 Failed, w=57\",\"Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=57\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,21],[0,3,65],[1,2,15],[1,3,21],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(0,2)=21,(1,3)=21,(2,3)=29,(0,3)=65,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=21 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=29 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,53],[0,2,52],[0,3,28],[0,4,94],[0,6,57],[0,7,75],[1,2,0],[1,3,98],[1,4,8],[1,5,84],[1,6,80],[1,7,60],[2,3,31],[2,4,17],[2,5,71],[2,6,44],[2,7,77],[3,4,13],[3,5,47],[3,6,31],[3,7,6],[4,5,30],[4,6,60],[4,7,10],[5,7,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,52],[0,3,28],[0,4,94],[0,6,57],[0,7,75],[1,2,0],[1,3,98],[1,4,8],[1,5,84],[1,6,80],[1,7,60],[2,3,31],[2,4,17],[2,5,71],[2,6,44],[2,7,77],[3,4,13],[3,5,47],[3,6,31],[3,7,6],[4,5,30],[4,6,60],[4,7,10],[5,7,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,52],[0,3,28],[0,4,94],[0,6,57],[0,7,75],[1,2,0],[1,3,98],[1,4,8],[1,5,84],[1,6,80],[1,7,60],[2,3,31],[2,4,17],[2,5,71],[2,6,44],[2,7,77],[3,4,13],[3,5,47],[3,6,31],[3,7,6],[4,5,30],[4,6,60],[4,7,10],[5,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,7)\",\"Add (1,4)\",\"Add (4,7)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,52],[0,3,28],[0,4,94],[0,6,57],[0,7,75],[1,2,0],[1,3,98],[1,4,8],[1,5,84],[1,6,80],[1,7,60],[2,3,31],[2,4,17],[2,5,71],[2,6,44],[2,7,77],[3,4,13],[3,5,47],[3,6,31],[3,7,6],[4,5,30],[4,6,60],[4,7,10],[5,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (3,7)=6, w=6\",\"Add (1,4)=8, w=14\",\"Add (4,7)=10, w=24\",\"Add (0,3)=28, w=52\",\"Add (4,5)=30, w=82\",\"Add (3,6)=31, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,52],[0,3,28],[0,4,94],[0,6,57],[0,7,75],[1,2,0],[1,3,98],[1,4,8],[1,5,84],[1,6,80],[1,7,60],[2,3,31],[2,4,17],[2,5,71],[2,6,44],[2,7,77],[3,4,13],[3,5,47],[3,6,31],[3,7,6],[4,5,30],[4,6,60],[4,7,10],[5,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (3,7)=6 Succeeded, w=6\",\"Add (1,4)=8 Succeeded, w=14\",\"Add (4,7)=10 Succeeded, w=24\",\"Add (3,4)=13 Failed, w=24\",\"Add (2,4)=17 Failed, w=24\",\"Add (0,3)=28 Succeeded, w=52\",\"Add (4,5)=30 Succeeded, w=82\",\"Add (2,3)=31 Failed, w=82\",\"Add (3,6)=31 Succeeded, w=113\",\"Add (2,6)=44 Failed, w=113\",\"Add (3,5)=47 Failed, w=113\",\"Add (0,2)=52 Failed, w=113\",\"Add (0,1)=53 Failed, w=113\",\"Add (0,6)=57 Failed, w=113\",\"Add (1,7)=60 Failed, w=113\",\"Add (4,6)=60 Failed, w=113\",\"Add (2,5)=71 Failed, w=113\",\"Add (0,7)=75 Failed, w=113\",\"Add (2,7)=77 Failed, w=113\",\"Add (1,6)=80 Failed, w=113\",\"Add (5,7)=81 Failed, w=113\",\"Add (1,5)=84 Failed, w=113\",\"Add (0,4)=94 Failed, w=113\",\"Add (1,3)=98 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,52],[0,3,28],[0,4,94],[0,6,57],[0,7,75],[1,2,0],[1,3,98],[1,4,8],[1,5,84],[1,6,80],[1,7,60],[2,3,31],[2,4,17],[2,5,71],[2,6,44],[2,7,77],[3,4,13],[3,5,47],[3,6,31],[3,7,6],[4,5,30],[4,6,60],[4,7,10],[5,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,7)=6,(1,4)=8,(4,7)=10,(3,4)=13,(2,4)=17,(0,3)=28,(4,5)=30,(2,3)=31,(3,6)=31,(2,6)=44,(3,5)=47,(0,2)=52,(0,1)=53,(0,6)=57,(1,7)=60,(4,6)=60,(2,5)=71,(0,7)=75,(2,7)=77,(1,6)=80,(5,7)=81,(1,5)=84,(0,4)=94,(1,3)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=14\",\"Find(4)=1, Find(7)=3, Add (4,7)=10 Succeeded, w=24\",\"Find(3)=1, Find(4)=1, Add (3,4)=13 Failed, w=24\",\"Find(2)=1, Find(4)=1, Add (2,4)=17 Failed, w=24\",\"Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=52\",\"Find(4)=1, Find(5)=5, Add (4,5)=30 Succeeded, w=82\",\"Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=82\",\"Find(3)=1, Find(6)=6, Add (3,6)=31 Succeeded, w=113\",\"Find(2)=1, Find(6)=1, Add (2,6)=44 Failed, w=113\",\"Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=113\",\"Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=113\",\"Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=113\",\"Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=113\",\"Find(1)=1, Find(7)=1, Add (1,7)=60 Failed, w=113\",\"Find(4)=1, Find(6)=1, Add (4,6)=60 Failed, w=113\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=113\",\"Find(0)=1, Find(7)=1, Add (0,7)=75 Failed, w=113\",\"Find(2)=1, Find(7)=1, Add (2,7)=77 Failed, w=113\",\"Find(1)=1, Find(6)=1, Add (1,6)=80 Failed, w=113\",\"Find(5)=1, Find(7)=1, Add (5,7)=81 Failed, w=113\",\"Find(1)=1, Find(5)=1, Add (1,5)=84 Failed, w=113\",\"Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=113\",\"Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,52],[0,3,28],[0,4,94],[0,6,57],[0,7,75],[1,2,0],[1,3,98],[1,4,8],[1,5,84],[1,6,80],[1,7,60],[2,3,31],[2,4,17],[2,5,71],[2,6,44],[2,7,77],[3,4,13],[3,5,47],[3,6,31],[3,7,6],[4,5,30],[4,6,60],[4,7,10],[5,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,7)=6,(1,4)=8,(4,7)=10,(3,4)=13,(2,4)=17,(0,3)=28,(4,5)=30,(2,3)=31,(3,6)=31,(2,6)=44,(3,5)=47,(0,2)=52,(0,1)=53,(0,6)=57,(1,7)=60,(4,6)=60,(2,5)=71,(0,7)=75,(2,7)=77,(1,6)=80,(5,7)=81,(1,5)=84,(0,4)=94,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 3}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 3}, Find(4)=1, Find(7)=3, Add (4,7)=10 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 3}, Find(3)=1, Find(4)=1, Add (3,4)=13 Failed, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 3}, Find(2)=1, Find(4)=1, Add (2,4)=17 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(4)=1, Find(5)=5, Add (4,5)=30 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(3)=1, Find(6)=6, Add (3,6)=31 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(2)=1, Find(6)=1, Add (2,6)=44 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=113\",\"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)=60 Failed, w=113\",\"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)=60 Failed, w=113\",\"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)=71 Failed, w=113\",\"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)=75 Failed, w=113\",\"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)=77 Failed, w=113\",\"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)=80 Failed, w=113\",\"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=113\",\"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)=84 Failed, w=113\",\"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)=94 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,50],[0,2,14],[0,3,83],[0,4,87],[1,2,50],[1,3,0],[1,4,78],[2,3,31],[2,4,49],[3,4,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,14],[0,3,83],[0,4,87],[1,2,50],[1,3,0],[1,4,78],[2,3,31],[2,4,49],[3,4,43]]}",
"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\":[[0,1,50],[0,2,14],[0,3,83],[0,4,87],[1,2,50],[1,3,0],[1,4,78],[2,3,31],[2,4,49],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,14],[0,3,83],[0,4,87],[1,2,50],[1,3,0],[1,4,78],[2,3,31],[2,4,49],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,2)=14, w=14\",\"Add (2,3)=31, w=45\",\"Add (3,4)=43, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,14],[0,3,83],[0,4,87],[1,2,50],[1,3,0],[1,4,78],[2,3,31],[2,4,49],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,2)=14 Succeeded, w=14\",\"Add (2,3)=31 Succeeded, w=45\",\"Add (3,4)=43 Succeeded, w=88\",\"Add (2,4)=49 Failed, w=88\",\"Add (0,1)=50 Failed, w=88\",\"Add (1,2)=50 Failed, w=88\",\"Add (1,4)=78 Failed, w=88\",\"Add (0,3)=83 Failed, w=88\",\"Add (0,4)=87 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\":[[0,1,50],[0,2,14],[0,3,83],[0,4,87],[1,2,50],[1,3,0],[1,4,78],[2,3,31],[2,4,49],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,2)=14,(2,3)=31,(3,4)=43,(2,4)=49,(0,1)=50,(1,2)=50,(1,4)=78,(0,3)=83,(0,4)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(2)=0, Find(3)=1, Add (2,3)=31 Succeeded, w=45\",\"Find(3)=0, Find(4)=4, Add (3,4)=43 Succeeded, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=88\",\"Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=88\",\"Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=88\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 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\":[[0,1,50],[0,2,14],[0,3,83],[0,4,87],[1,2,50],[1,3,0],[1,4,78],[2,3,31],[2,4,49],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,2)=14,(2,3)=31,(3,4)=43,(2,4)=49,(0,1)=50,(1,2)=50,(1,4)=78,(0,3)=83,(0,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(2)=0, Find(3)=1, Add (2,3)=31 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=43 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,2,96],[0,3,20],[0,4,47],[0,5,21],[1,2,6],[1,4,47],[2,3,56],[2,4,73],[2,5,45],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,96],[0,3,20],[0,4,47],[0,5,21],[1,2,6],[1,4,47],[2,3,56],[2,4,73],[2,5,45],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,96],[0,3,20],[0,4,47],[0,5,21],[1,2,6],[1,4,47],[2,3,56],[2,4,73],[2,5,45],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (2,5)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,96],[0,3,20],[0,4,47],[0,5,21],[1,2,6],[1,4,47],[2,3,56],[2,4,73],[2,5,45],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (3,4)=19, w=25\",\"Add (0,3)=20, w=45\",\"Add (0,5)=21, w=66\",\"Add (2,5)=45, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,96],[0,3,20],[0,4,47],[0,5,21],[1,2,6],[1,4,47],[2,3,56],[2,4,73],[2,5,45],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (3,4)=19 Succeeded, w=25\",\"Add (0,3)=20 Succeeded, w=45\",\"Add (0,5)=21 Succeeded, w=66\",\"Add (2,5)=45 Succeeded, w=111\",\"Add (0,4)=47 Failed, w=111\",\"Add (1,4)=47 Failed, w=111\",\"Add (0,1)=50 Failed, w=111\",\"Add (2,3)=56 Failed, w=111\",\"Add (2,4)=73 Failed, w=111\",\"Add (0,2)=96 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,96],[0,3,20],[0,4,47],[0,5,21],[1,2,6],[1,4,47],[2,3,56],[2,4,73],[2,5,45],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(3,4)=19,(0,3)=20,(0,5)=21,(2,5)=45,(0,4)=47,(1,4)=47,(0,1)=50,(2,3)=56,(2,4)=73,(0,2)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=25\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=45\",\"Find(0)=3, Find(5)=5, Add (0,5)=21 Succeeded, w=66\",\"Find(2)=1, Find(5)=3, Add (2,5)=45 Succeeded, w=111\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=111\",\"Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=111\",\"Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=111\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=111\",\"Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=111\",\"Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,96],[0,3,20],[0,4,47],[0,5,21],[1,2,6],[1,4,47],[2,3,56],[2,4,73],[2,5,45],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(3,4)=19,(0,3)=20,(0,5)=21,(2,5)=45,(0,4)=47,(1,4)=47,(0,1)=50,(2,3)=56,(2,4)=73,(0,2)=96]\",\"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: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=25\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=45\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=5, Add (0,5)=21 Succeeded, w=66\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(2)=1, Find(5)=3, Add (2,5)=45 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,3,14],[0,5,64],[1,5,60],[2,3,65],[2,4,89],[3,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,3,14],[0,5,64],[1,5,60],[2,3,65],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,3,14],[0,5,64],[1,5,60],[2,3,65],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,3,14],[0,5,64],[1,5,60],[2,3,65],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (3,4)=18, w=32\",\"Add (0,1)=33, w=65\",\"Add (1,5)=60, w=125\",\"Add (2,3)=65, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,3,14],[0,5,64],[1,5,60],[2,3,65],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (3,4)=18 Succeeded, w=32\",\"Add (0,1)=33 Succeeded, w=65\",\"Add (1,5)=60 Succeeded, w=125\",\"Add (0,5)=64 Failed, w=125\",\"Add (2,3)=65 Succeeded, w=190\",\"Add (2,4)=89 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,3,14],[0,5,64],[1,5,60],[2,3,65],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(3,4)=18,(0,1)=33,(1,5)=60,(0,5)=64,(2,3)=65,(2,4)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(3)=0, Find(4)=4, Add (3,4)=18 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=65\",\"Find(1)=0, Find(5)=5, Add (1,5)=60 Succeeded, w=125\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=125\",\"Find(2)=2, Find(3)=0, Add (2,3)=65 Succeeded, w=190\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,3,14],[0,5,64],[1,5,60],[2,3,65],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(3,4)=18,(0,1)=33,(1,5)=60,(0,5)=64,(2,3)=65,(2,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=60 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=65 Succeeded, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,29],[0,2,38],[0,3,84],[0,4,43],[0,5,90],[0,6,47],[0,7,77],[1,2,81],[1,3,86],[1,4,44],[1,5,97],[1,6,87],[1,7,51],[2,3,85],[2,4,69],[2,5,25],[2,6,6],[2,7,33],[3,4,36],[3,6,51],[3,7,26],[4,5,18],[4,6,8],[4,7,14],[5,6,67],[5,7,81],[6,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,38],[0,3,84],[0,4,43],[0,5,90],[0,6,47],[0,7,77],[1,2,81],[1,3,86],[1,4,44],[1,5,97],[1,6,87],[1,7,51],[2,3,85],[2,4,69],[2,5,25],[2,6,6],[2,7,33],[3,4,36],[3,6,51],[3,7,26],[4,5,18],[4,6,8],[4,7,14],[5,6,67],[5,7,81],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,38],[0,3,84],[0,4,43],[0,5,90],[0,6,47],[0,7,77],[1,2,81],[1,3,86],[1,4,44],[1,5,97],[1,6,87],[1,7,51],[2,3,85],[2,4,69],[2,5,25],[2,6,6],[2,7,33],[3,4,36],[3,6,51],[3,7,26],[4,5,18],[4,6,8],[4,7,14],[5,6,67],[5,7,81],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (4,5)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,38],[0,3,84],[0,4,43],[0,5,90],[0,6,47],[0,7,77],[1,2,81],[1,3,86],[1,4,44],[1,5,97],[1,6,87],[1,7,51],[2,3,85],[2,4,69],[2,5,25],[2,6,6],[2,7,33],[3,4,36],[3,6,51],[3,7,26],[4,5,18],[4,6,8],[4,7,14],[5,6,67],[5,7,81],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6, w=6\",\"Add (4,6)=8, w=14\",\"Add (4,7)=14, w=28\",\"Add (4,5)=18, w=46\",\"Add (3,7)=26, w=72\",\"Add (0,1)=29, w=101\",\"Add (0,2)=38, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,38],[0,3,84],[0,4,43],[0,5,90],[0,6,47],[0,7,77],[1,2,81],[1,3,86],[1,4,44],[1,5,97],[1,6,87],[1,7,51],[2,3,85],[2,4,69],[2,5,25],[2,6,6],[2,7,33],[3,4,36],[3,6,51],[3,7,26],[4,5,18],[4,6,8],[4,7,14],[5,6,67],[5,7,81],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6 Succeeded, w=6\",\"Add (4,6)=8 Succeeded, w=14\",\"Add (4,7)=14 Succeeded, w=28\",\"Add (4,5)=18 Succeeded, w=46\",\"Add (2,5)=25 Failed, w=46\",\"Add (3,7)=26 Succeeded, w=72\",\"Add (0,1)=29 Succeeded, w=101\",\"Add (2,7)=33 Failed, w=101\",\"Add (3,4)=36 Failed, w=101\",\"Add (0,2)=38 Succeeded, w=139\",\"Add (0,4)=43 Failed, w=139\",\"Add (1,4)=44 Failed, w=139\",\"Add (0,6)=47 Failed, w=139\",\"Add (1,7)=51 Failed, w=139\",\"Add (3,6)=51 Failed, w=139\",\"Add (6,7)=52 Failed, w=139\",\"Add (5,6)=67 Failed, w=139\",\"Add (2,4)=69 Failed, w=139\",\"Add (0,7)=77 Failed, w=139\",\"Add (1,2)=81 Failed, w=139\",\"Add (5,7)=81 Failed, w=139\",\"Add (0,3)=84 Failed, w=139\",\"Add (2,3)=85 Failed, w=139\",\"Add (1,3)=86 Failed, w=139\",\"Add (1,6)=87 Failed, w=139\",\"Add (0,5)=90 Failed, w=139\",\"Add (1,5)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,38],[0,3,84],[0,4,43],[0,5,90],[0,6,47],[0,7,77],[1,2,81],[1,3,86],[1,4,44],[1,5,97],[1,6,87],[1,7,51],[2,3,85],[2,4,69],[2,5,25],[2,6,6],[2,7,33],[3,4,36],[3,6,51],[3,7,26],[4,5,18],[4,6,8],[4,7,14],[5,6,67],[5,7,81],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(4,6)=8,(4,7)=14,(4,5)=18,(2,5)=25,(3,7)=26,(0,1)=29,(2,7)=33,(3,4)=36,(0,2)=38,(0,4)=43,(1,4)=44,(0,6)=47,(1,7)=51,(3,6)=51,(6,7)=52,(5,6)=67,(2,4)=69,(0,7)=77,(1,2)=81,(5,7)=81,(0,3)=84,(2,3)=85,(1,3)=86,(1,6)=87,(0,5)=90,(1,5)=97]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Find(4)=4, Find(6)=2, Add (4,6)=8 Succeeded, w=14\",\"Find(4)=2, Find(7)=7, Add (4,7)=14 Succeeded, w=28\",\"Find(4)=2, Find(5)=5, Add (4,5)=18 Succeeded, w=46\",\"Find(2)=2, Find(5)=2, Add (2,5)=25 Failed, w=46\",\"Find(3)=3, Find(7)=2, Add (3,7)=26 Succeeded, w=72\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=101\",\"Find(2)=2, Find(7)=2, Add (2,7)=33 Failed, w=101\",\"Find(3)=2, Find(4)=2, Add (3,4)=36 Failed, w=101\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=139\",\"Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=139\",\"Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=139\",\"Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=139\",\"Find(6)=0, Find(7)=0, Add (6,7)=52 Failed, w=139\",\"Find(5)=0, Find(6)=0, Add (5,6)=67 Failed, w=139\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=139\",\"Find(0)=0, Find(7)=0, Add (0,7)=77 Failed, w=139\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=139\",\"Find(5)=0, Find(7)=0, Add (5,7)=81 Failed, w=139\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=139\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=139\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=139\",\"Find(1)=0, Find(6)=0, Add (1,6)=87 Failed, w=139\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=139\",\"Find(1)=0, Find(5)=0, Add (1,5)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,29],[0,2,38],[0,3,84],[0,4,43],[0,5,90],[0,6,47],[0,7,77],[1,2,81],[1,3,86],[1,4,44],[1,5,97],[1,6,87],[1,7,51],[2,3,85],[2,4,69],[2,5,25],[2,6,6],[2,7,33],[3,4,36],[3,6,51],[3,7,26],[4,5,18],[4,6,8],[4,7,14],[5,6,67],[5,7,81],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(4,6)=8,(4,7)=14,(4,5)=18,(2,5)=25,(3,7)=26,(0,1)=29,(2,7)=33,(3,4)=36,(0,2)=38,(0,4)=43,(1,4)=44,(0,6)=47,(1,7)=51,(3,6)=51,(6,7)=52,(5,6)=67,(2,4)=69,(0,7)=77,(1,2)=81,(5,7)=81,(0,3)=84,(2,3)=85,(1,3)=86,(1,6)=87,(0,5)=90,(1,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(4)=4, Find(6)=2, Add (4,6)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 2}, Find(4)=2, Find(7)=7, Add (4,7)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=5, Add (4,5)=18 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=25 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=26 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=33 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=36 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 0, 7: 2}, Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=52 Failed, w=139\",\"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)=67 Failed, w=139\",\"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)=69 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=77 Failed, w=139\",\"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)=81 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=81 Failed, w=139\",\"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)=84 Failed, w=139\",\"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)=85 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=139\",\"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)=87 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=139\",\"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)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,88],[0,5,79],[1,2,9],[1,3,43],[3,5,99],[4,5,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,88],[0,5,79],[1,2,9],[1,3,43],[3,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,88],[0,5,79],[1,2,9],[1,3,43],[3,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,88],[0,5,79],[1,2,9],[1,3,43],[3,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (1,3)=43, w=52\",\"Add (0,5)=79, w=131\",\"Add (4,5)=86, w=217\",\"Add (3,5)=99, w=316\"],\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,88],[0,5,79],[1,2,9],[1,3,43],[3,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (1,3)=43 Succeeded, w=52\",\"Add (0,5)=79 Succeeded, w=131\",\"Add (4,5)=86 Succeeded, w=217\",\"Add (0,4)=88 Failed, w=217\",\"Add (3,5)=99 Succeeded, w=316\"],\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,88],[0,5,79],[1,2,9],[1,3,43],[3,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(1,3)=43,(0,5)=79,(4,5)=86,(0,4)=88,(3,5)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=52\",\"Find(0)=0, Find(5)=5, Add (0,5)=79 Succeeded, w=131\",\"Find(4)=4, Find(5)=0, Add (4,5)=86 Succeeded, w=217\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=217\",\"Find(3)=1, Find(5)=0, Add (3,5)=99 Succeeded, w=316\"],\"Answer\":316}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,88],[0,5,79],[1,2,9],[1,3,43],[3,5,99],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(1,3)=43,(0,5)=79,(4,5)=86,(0,4)=88,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=79 Succeeded, w=131\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=86 Succeeded, w=217\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=217\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(3)=1, Find(5)=0, Add (3,5)=99 Succeeded, w=316\"],\"Answer\":316}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,56],[0,2,97],[0,3,29],[0,4,60],[1,2,40],[1,3,98],[1,4,11],[2,3,16],[2,4,27],[3,4,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,97],[0,3,29],[0,4,60],[1,2,40],[1,3,98],[1,4,11],[2,3,16],[2,4,27],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,97],[0,3,29],[0,4,60],[1,2,40],[1,3,98],[1,4,11],[2,3,16],[2,4,27],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,97],[0,3,29],[0,4,60],[1,2,40],[1,3,98],[1,4,11],[2,3,16],[2,4,27],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11, w=11\",\"Add (2,3)=16, w=27\",\"Add (2,4)=27, w=54\",\"Add (0,3)=29, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,97],[0,3,29],[0,4,60],[1,2,40],[1,3,98],[1,4,11],[2,3,16],[2,4,27],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11 Succeeded, w=11\",\"Add (2,3)=16 Succeeded, w=27\",\"Add (2,4)=27 Succeeded, w=54\",\"Add (0,3)=29 Succeeded, w=83\",\"Add (1,2)=40 Failed, w=83\",\"Add (0,1)=56 Failed, w=83\",\"Add (0,4)=60 Failed, w=83\",\"Add (3,4)=60 Failed, w=83\",\"Add (0,2)=97 Failed, w=83\",\"Add (1,3)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,97],[0,3,29],[0,4,60],[1,2,40],[1,3,98],[1,4,11],[2,3,16],[2,4,27],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(2,3)=16,(2,4)=27,(0,3)=29,(1,2)=40,(0,1)=56,(0,4)=60,(3,4)=60,(0,2)=97,(1,3)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=27\",\"Find(2)=2, Find(4)=1, Add (2,4)=27 Succeeded, w=54\",\"Find(0)=0, Find(3)=2, Add (0,3)=29 Succeeded, w=83\",\"Find(1)=2, Find(2)=2, Add (1,2)=40 Failed, w=83\",\"Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=83\",\"Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=83\",\"Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=83\",\"Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=83\",\"Find(1)=2, Find(3)=2, Add (1,3)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,97],[0,3,29],[0,4,60],[1,2,40],[1,3,98],[1,4,11],[2,3,16],[2,4,27],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(2,3)=16,(2,4)=27,(0,3)=29,(1,2)=40,(0,1)=56,(0,4)=60,(3,4)=60,(0,2)=97,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=27 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(3)=2, Add (0,3)=29 Succeeded, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(2)=2, Add (1,2)=40 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,78],[0,2,50],[0,3,83],[1,3,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,50],[0,3,83],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,50],[0,3,83],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,50],[0,3,83],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=50, w=50\",\"Add (1,3)=63, w=113\",\"Add (0,1)=78, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,50],[0,3,83],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=50 Succeeded, w=50\",\"Add (1,3)=63 Succeeded, w=113\",\"Add (0,1)=78 Succeeded, w=191\",\"Add (0,3)=83 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,50],[0,3,83],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=50,(1,3)=63,(0,1)=78,(0,3)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=50\",\"Find(1)=1, Find(3)=3, Add (1,3)=63 Succeeded, w=113\",\"Find(0)=0, Find(1)=1, Add (0,1)=78 Succeeded, w=191\",\"Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,50],[0,3,83],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=50,(1,3)=63,(0,1)=78,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=63 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=78 Succeeded, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,86],[1,3,84],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,86],[1,3,84],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,86],[1,3,84],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,86],[1,3,84],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=74, w=74\",\"Add (1,3)=84, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,86],[1,3,84],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=74 Succeeded, w=74\",\"Add (1,3)=84 Succeeded, w=158\",\"Add (1,2)=86 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,86],[1,3,84],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=74,(1,3)=84,(1,2)=86]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=74 Succeeded, w=74\",\"Find(1)=1, Find(3)=2, Add (1,3)=84 Succeeded, w=158\",\"Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,86],[1,3,84],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=74,(1,3)=84,(1,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=74 Succeeded, w=74\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=84 Succeeded, w=158\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,53],[0,3,67],[0,4,84],[1,3,23],[1,4,72],[2,4,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,67],[0,4,84],[1,3,23],[1,4,72],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,67],[0,4,84],[1,3,23],[1,4,72],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,67],[0,4,84],[1,3,23],[1,4,72],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=23, w=23\",\"Add (0,1)=53, w=76\",\"Add (1,4)=72, w=148\",\"Add (2,4)=78, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,67],[0,4,84],[1,3,23],[1,4,72],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=23 Succeeded, w=23\",\"Add (0,1)=53 Succeeded, w=76\",\"Add (0,3)=67 Failed, w=76\",\"Add (1,4)=72 Succeeded, w=148\",\"Add (2,4)=78 Succeeded, w=226\",\"Add (0,4)=84 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,67],[0,4,84],[1,3,23],[1,4,72],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=23,(0,1)=53,(0,3)=67,(1,4)=72,(2,4)=78,(0,4)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=76\",\"Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=76\",\"Find(1)=1, Find(4)=4, Add (1,4)=72 Succeeded, w=148\",\"Find(2)=2, Find(4)=1, Add (2,4)=78 Succeeded, w=226\",\"Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,67],[0,4,84],[1,3,23],[1,4,72],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=23,(0,1)=53,(0,3)=67,(1,4)=72,(2,4)=78,(0,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=72 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=78 Succeeded, w=226\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,90],[0,3,8],[0,4,42],[1,2,59],[1,3,10],[1,4,57],[2,3,41],[2,4,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,8],[0,4,42],[1,2,59],[1,3,10],[1,4,57],[2,3,41],[2,4,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,8],[0,4,42],[1,2,59],[1,3,10],[1,4,57],[2,3,41],[2,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,8],[0,4,42],[1,2,59],[1,3,10],[1,4,57],[2,3,41],[2,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (1,3)=10, w=18\",\"Add (2,3)=41, w=59\",\"Add (0,4)=42, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,8],[0,4,42],[1,2,59],[1,3,10],[1,4,57],[2,3,41],[2,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (1,3)=10 Succeeded, w=18\",\"Add (2,3)=41 Succeeded, w=59\",\"Add (0,4)=42 Succeeded, w=101\",\"Add (2,4)=44 Failed, w=101\",\"Add (1,4)=57 Failed, w=101\",\"Add (1,2)=59 Failed, w=101\",\"Add (0,2)=90 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,8],[0,4,42],[1,2,59],[1,3,10],[1,4,57],[2,3,41],[2,4,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,3)=10,(2,3)=41,(0,4)=42,(2,4)=44,(1,4)=57,(1,2)=59,(0,2)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=18\",\"Find(2)=2, Find(3)=0, Add (2,3)=41 Succeeded, w=59\",\"Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=101\",\"Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=101\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=101\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=101\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,8],[0,4,42],[1,2,59],[1,3,10],[1,4,57],[2,3,41],[2,4,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,3)=10,(2,3)=41,(0,4)=42,(2,4)=44,(1,4)=57,(1,2)=59,(0,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=41 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,62],[0,2,68],[0,3,38],[0,4,14],[0,5,28],[1,2,48],[1,5,97],[2,3,87],[2,4,29],[2,5,97],[3,4,30],[3,5,59],[4,5,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,68],[0,3,38],[0,4,14],[0,5,28],[1,2,48],[1,5,97],[2,3,87],[2,4,29],[2,5,97],[3,4,30],[3,5,59],[4,5,59]]}",
"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\":[[0,1,62],[0,2,68],[0,3,38],[0,4,14],[0,5,28],[1,2,48],[1,5,97],[2,3,87],[2,4,29],[2,5,97],[3,4,30],[3,5,59],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,68],[0,3,38],[0,4,14],[0,5,28],[1,2,48],[1,5,97],[2,3,87],[2,4,29],[2,5,97],[3,4,30],[3,5,59],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14, w=14\",\"Add (0,5)=28, w=42\",\"Add (2,4)=29, w=71\",\"Add (3,4)=30, w=101\",\"Add (1,2)=48, 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\":[[0,1,62],[0,2,68],[0,3,38],[0,4,14],[0,5,28],[1,2,48],[1,5,97],[2,3,87],[2,4,29],[2,5,97],[3,4,30],[3,5,59],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14 Succeeded, w=14\",\"Add (0,5)=28 Succeeded, w=42\",\"Add (2,4)=29 Succeeded, w=71\",\"Add (3,4)=30 Succeeded, w=101\",\"Add (0,3)=38 Failed, w=101\",\"Add (1,2)=48 Succeeded, w=149\",\"Add (3,5)=59 Failed, w=149\",\"Add (4,5)=59 Failed, w=149\",\"Add (0,1)=62 Failed, w=149\",\"Add (0,2)=68 Failed, w=149\",\"Add (2,3)=87 Failed, w=149\",\"Add (1,5)=97 Failed, w=149\",\"Add (2,5)=97 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\":[[0,1,62],[0,2,68],[0,3,38],[0,4,14],[0,5,28],[1,2,48],[1,5,97],[2,3,87],[2,4,29],[2,5,97],[3,4,30],[3,5,59],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(0,5)=28,(2,4)=29,(3,4)=30,(0,3)=38,(1,2)=48,(3,5)=59,(4,5)=59,(0,1)=62,(0,2)=68,(2,3)=87,(1,5)=97,(2,5)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Find(0)=0, Find(5)=5, Add (0,5)=28 Succeeded, w=42\",\"Find(2)=2, Find(4)=0, Add (2,4)=29 Succeeded, w=71\",\"Find(3)=3, Find(4)=0, Add (3,4)=30 Succeeded, w=101\",\"Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=101\",\"Find(1)=1, Find(2)=0, Add (1,2)=48 Succeeded, w=149\",\"Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=149\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=149\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=149\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=149\",\"Find(1)=0, Find(5)=0, Add (1,5)=97 Failed, w=149\",\"Find(2)=0, Find(5)=0, Add (2,5)=97 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\":[[0,1,62],[0,2,68],[0,3,38],[0,4,14],[0,5,28],[1,2,48],[1,5,97],[2,3,87],[2,4,29],[2,5,97],[3,4,30],[3,5,59],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(0,5)=28,(2,4)=29,(3,4)=30,(0,3)=38,(1,2)=48,(3,5)=59,(4,5)=59,(0,1)=62,(0,2)=68,(2,3)=87,(1,5)=97,(2,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=28 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=29 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=30 Succeeded, w=101\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=48 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=97 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=97 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,12],[0,5,31],[0,6,54],[1,2,68],[1,4,42],[1,5,32],[1,6,11],[2,3,58],[2,4,21],[3,5,20],[4,5,42],[4,6,87],[5,6,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,5,31],[0,6,54],[1,2,68],[1,4,42],[1,5,32],[1,6,11],[2,3,58],[2,4,21],[3,5,20],[4,5,42],[4,6,87],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,5,31],[0,6,54],[1,2,68],[1,4,42],[1,5,32],[1,6,11],[2,3,58],[2,4,21],[3,5,20],[4,5,42],[4,6,87],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,5,31],[0,6,54],[1,2,68],[1,4,42],[1,5,32],[1,6,11],[2,3,58],[2,4,21],[3,5,20],[4,5,42],[4,6,87],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=11, w=11\",\"Add (0,1)=12, w=23\",\"Add (3,5)=20, w=43\",\"Add (2,4)=21, w=64\",\"Add (0,5)=31, w=95\",\"Add (1,4)=42, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,5,31],[0,6,54],[1,2,68],[1,4,42],[1,5,32],[1,6,11],[2,3,58],[2,4,21],[3,5,20],[4,5,42],[4,6,87],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=11 Succeeded, w=11\",\"Add (0,1)=12 Succeeded, w=23\",\"Add (3,5)=20 Succeeded, w=43\",\"Add (2,4)=21 Succeeded, w=64\",\"Add (0,5)=31 Succeeded, w=95\",\"Add (1,5)=32 Failed, w=95\",\"Add (1,4)=42 Succeeded, w=137\",\"Add (4,5)=42 Failed, w=137\",\"Add (5,6)=53 Failed, w=137\",\"Add (0,6)=54 Failed, w=137\",\"Add (2,3)=58 Failed, w=137\",\"Add (1,2)=68 Failed, w=137\",\"Add (4,6)=87 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,5,31],[0,6,54],[1,2,68],[1,4,42],[1,5,32],[1,6,11],[2,3,58],[2,4,21],[3,5,20],[4,5,42],[4,6,87],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=11,(0,1)=12,(3,5)=20,(2,4)=21,(0,5)=31,(1,5)=32,(1,4)=42,(4,5)=42,(5,6)=53,(0,6)=54,(2,3)=58,(1,2)=68,(4,6)=87]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=23\",\"Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=43\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=64\",\"Find(0)=1, Find(5)=3, Add (0,5)=31 Succeeded, w=95\",\"Find(1)=1, Find(5)=1, Add (1,5)=32 Failed, w=95\",\"Find(1)=1, Find(4)=2, Add (1,4)=42 Succeeded, w=137\",\"Find(4)=1, Find(5)=1, Add (4,5)=42 Failed, w=137\",\"Find(5)=1, Find(6)=1, Add (5,6)=53 Failed, w=137\",\"Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=137\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=137\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=137\",\"Find(4)=1, Find(6)=1, Add (4,6)=87 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,5,31],[0,6,54],[1,2,68],[1,4,42],[1,5,32],[1,6,11],[2,3,58],[2,4,21],[3,5,20],[4,5,42],[4,6,87],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=11,(0,1)=12,(3,5)=20,(2,4)=21,(0,5)=31,(1,5)=32,(1,4)=42,(4,5)=42,(5,6)=53,(0,6)=54,(2,3)=58,(1,2)=68,(4,6)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1}, Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 1}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 3, 6: 1}, Find(0)=1, Find(5)=3, Add (0,5)=31 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=32 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(4)=2, Add (1,4)=42 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=42 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=53 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=87 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,98],[1,2,75],[1,4,15],[2,3,2],[3,4,69],[3,5,63],[4,5,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,98],[1,2,75],[1,4,15],[2,3,2],[3,4,69],[3,5,63],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,98],[1,2,75],[1,4,15],[2,3,2],[3,4,69],[3,5,63],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,98],[1,2,75],[1,4,15],[2,3,2],[3,4,69],[3,5,63],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (1,4)=15, w=17\",\"Add (3,5)=63, w=80\",\"Add (3,4)=69, w=149\",\"Add (0,4)=98, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,98],[1,2,75],[1,4,15],[2,3,2],[3,4,69],[3,5,63],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (1,4)=15 Succeeded, w=17\",\"Add (3,5)=63 Succeeded, w=80\",\"Add (3,4)=69 Succeeded, w=149\",\"Add (4,5)=69 Failed, w=149\",\"Add (1,2)=75 Failed, w=149\",\"Add (0,4)=98 Succeeded, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,98],[1,2,75],[1,4,15],[2,3,2],[3,4,69],[3,5,63],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(1,4)=15,(3,5)=63,(3,4)=69,(4,5)=69,(1,2)=75,(0,4)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=17\",\"Find(3)=2, Find(5)=5, Add (3,5)=63 Succeeded, w=80\",\"Find(3)=2, Find(4)=1, Add (3,4)=69 Succeeded, w=149\",\"Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=149\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=149\",\"Find(0)=0, Find(4)=2, Add (0,4)=98 Succeeded, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,98],[1,2,75],[1,4,15],[2,3,2],[3,4,69],[3,5,63],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(1,4)=15,(3,5)=63,(3,4)=69,(4,5)=69,(1,2)=75,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=63 Succeeded, w=80\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(3)=2, Find(4)=1, Add (3,4)=69 Succeeded, w=149\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=149\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=98 Succeeded, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,38],[0,2,88],[1,2,34],[1,3,86],[2,3,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,88],[1,2,34],[1,3,86],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,88],[1,2,34],[1,3,86],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,88],[1,2,34],[1,3,86],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=34, w=34\",\"Add (0,1)=38, w=72\",\"Add (2,3)=49, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,88],[1,2,34],[1,3,86],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=34 Succeeded, w=34\",\"Add (0,1)=38 Succeeded, w=72\",\"Add (2,3)=49 Succeeded, w=121\",\"Add (1,3)=86 Failed, w=121\",\"Add (0,2)=88 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,88],[1,2,34],[1,3,86],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=34,(0,1)=38,(2,3)=49,(1,3)=86,(0,2)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=72\",\"Find(2)=1, Find(3)=3, Add (2,3)=49 Succeeded, w=121\",\"Find(1)=1, Find(3)=1, Add (1,3)=86 Failed, w=121\",\"Find(0)=1, Find(2)=1, Add (0,2)=88 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,88],[1,2,34],[1,3,86],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=34,(0,1)=38,(2,3)=49,(1,3)=86,(0,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=49 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=86 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=88 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,81],[0,2,84],[0,4,85],[0,5,29],[0,6,99],[1,2,1],[1,3,89],[1,4,58],[1,5,92],[1,6,9],[2,3,69],[2,5,73],[2,6,7],[3,4,4],[3,5,0],[3,6,65],[4,5,44],[4,6,43],[5,6,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,84],[0,4,85],[0,5,29],[0,6,99],[1,2,1],[1,3,89],[1,4,58],[1,5,92],[1,6,9],[2,3,69],[2,5,73],[2,6,7],[3,4,4],[3,5,0],[3,6,65],[4,5,44],[4,6,43],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,84],[0,4,85],[0,5,29],[0,6,99],[1,2,1],[1,3,89],[1,4,58],[1,5,92],[1,6,9],[2,3,69],[2,5,73],[2,6,7],[3,4,4],[3,5,0],[3,6,65],[4,5,44],[4,6,43],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (4,6)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,84],[0,4,85],[0,5,29],[0,6,99],[1,2,1],[1,3,89],[1,4,58],[1,5,92],[1,6,9],[2,3,69],[2,5,73],[2,6,7],[3,4,4],[3,5,0],[3,6,65],[4,5,44],[4,6,43],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (1,2)=1, w=1\",\"Add (3,4)=4, w=5\",\"Add (2,6)=7, w=12\",\"Add (0,5)=29, w=41\",\"Add (4,6)=43, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,84],[0,4,85],[0,5,29],[0,6,99],[1,2,1],[1,3,89],[1,4,58],[1,5,92],[1,6,9],[2,3,69],[2,5,73],[2,6,7],[3,4,4],[3,5,0],[3,6,65],[4,5,44],[4,6,43],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (1,2)=1 Succeeded, w=1\",\"Add (3,4)=4 Succeeded, w=5\",\"Add (2,6)=7 Succeeded, w=12\",\"Add (1,6)=9 Failed, w=12\",\"Add (0,5)=29 Succeeded, w=41\",\"Add (4,6)=43 Succeeded, w=84\",\"Add (4,5)=44 Failed, w=84\",\"Add (1,4)=58 Failed, w=84\",\"Add (5,6)=59 Failed, w=84\",\"Add (3,6)=65 Failed, w=84\",\"Add (2,3)=69 Failed, w=84\",\"Add (2,5)=73 Failed, w=84\",\"Add (0,1)=81 Failed, w=84\",\"Add (0,2)=84 Failed, w=84\",\"Add (0,4)=85 Failed, w=84\",\"Add (1,3)=89 Failed, w=84\",\"Add (1,5)=92 Failed, w=84\",\"Add (0,6)=99 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,84],[0,4,85],[0,5,29],[0,6,99],[1,2,1],[1,3,89],[1,4,58],[1,5,92],[1,6,9],[2,3,69],[2,5,73],[2,6,7],[3,4,4],[3,5,0],[3,6,65],[4,5,44],[4,6,43],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(1,2)=1,(3,4)=4,(2,6)=7,(1,6)=9,(0,5)=29,(4,6)=43,(4,5)=44,(1,4)=58,(5,6)=59,(3,6)=65,(2,3)=69,(2,5)=73,(0,1)=81,(0,2)=84,(0,4)=85,(1,3)=89,(1,5)=92,(0,6)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=5\",\"Find(2)=1, Find(6)=6, Add (2,6)=7 Succeeded, w=12\",\"Find(1)=1, Find(6)=1, Add (1,6)=9 Failed, w=12\",\"Find(0)=0, Find(5)=3, Add (0,5)=29 Succeeded, w=41\",\"Find(4)=3, Find(6)=1, Add (4,6)=43 Succeeded, w=84\",\"Find(4)=3, Find(5)=3, Add (4,5)=44 Failed, w=84\",\"Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=84\",\"Find(5)=3, Find(6)=3, Add (5,6)=59 Failed, w=84\",\"Find(3)=3, Find(6)=3, Add (3,6)=65 Failed, w=84\",\"Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=84\",\"Find(2)=3, Find(5)=3, Add (2,5)=73 Failed, w=84\",\"Find(0)=3, Find(1)=3, Add (0,1)=81 Failed, w=84\",\"Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=84\",\"Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=84\",\"Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=84\",\"Find(1)=3, Find(5)=3, Add (1,5)=92 Failed, w=84\",\"Find(0)=3, Find(6)=3, Add (0,6)=99 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,84],[0,4,85],[0,5,29],[0,6,99],[1,2,1],[1,3,89],[1,4,58],[1,5,92],[1,6,9],[2,3,69],[2,5,73],[2,6,7],[3,4,4],[3,5,0],[3,6,65],[4,5,44],[4,6,43],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(1,2)=1,(3,4)=4,(2,6)=7,(1,6)=9,(0,5)=29,(4,6)=43,(4,5)=44,(1,4)=58,(5,6)=59,(3,6)=65,(2,3)=69,(2,5)=73,(0,1)=81,(0,2)=84,(0,4)=85,(1,3)=89,(1,5)=92,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=9 Failed, w=12\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1}, Find(0)=0, Find(5)=3, Add (0,5)=29 Succeeded, w=41\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1}, Find(4)=3, Find(6)=1, Add (4,6)=43 Succeeded, w=84\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1}, Find(4)=3, Find(5)=3, Add (4,5)=44 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=59 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=65 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=73 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=81 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=92 Failed, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=99 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,37],[0,2,29],[0,3,53],[0,4,6],[0,5,42],[0,6,65],[0,7,3],[1,2,85],[1,3,62],[1,4,16],[1,5,40],[1,6,55],[1,7,92],[2,3,28],[2,4,31],[2,5,27],[2,6,64],[2,7,82],[3,4,66],[3,5,1],[3,6,58],[3,7,64],[4,5,76],[4,6,97],[4,7,37],[5,6,23],[5,7,69],[6,7,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,29],[0,3,53],[0,4,6],[0,5,42],[0,6,65],[0,7,3],[1,2,85],[1,3,62],[1,4,16],[1,5,40],[1,6,55],[1,7,92],[2,3,28],[2,4,31],[2,5,27],[2,6,64],[2,7,82],[3,4,66],[3,5,1],[3,6,58],[3,7,64],[4,5,76],[4,6,97],[4,7,37],[5,6,23],[5,7,69],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,29],[0,3,53],[0,4,6],[0,5,42],[0,6,65],[0,7,3],[1,2,85],[1,3,62],[1,4,16],[1,5,40],[1,6,55],[1,7,92],[2,3,28],[2,4,31],[2,5,27],[2,6,64],[2,7,82],[3,4,66],[3,5,1],[3,6,58],[3,7,64],[4,5,76],[4,6,97],[4,7,37],[5,6,23],[5,7,69],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,7)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (6,7)\",\"Add (5,6)\",\"Add (2,5)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,29],[0,3,53],[0,4,6],[0,5,42],[0,6,65],[0,7,3],[1,2,85],[1,3,62],[1,4,16],[1,5,40],[1,6,55],[1,7,92],[2,3,28],[2,4,31],[2,5,27],[2,6,64],[2,7,82],[3,4,66],[3,5,1],[3,6,58],[3,7,64],[4,5,76],[4,6,97],[4,7,37],[5,6,23],[5,7,69],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (0,7)=3, w=4\",\"Add (0,4)=6, w=10\",\"Add (1,4)=16, w=26\",\"Add (6,7)=18, w=44\",\"Add (5,6)=23, w=67\",\"Add (2,5)=27, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,29],[0,3,53],[0,4,6],[0,5,42],[0,6,65],[0,7,3],[1,2,85],[1,3,62],[1,4,16],[1,5,40],[1,6,55],[1,7,92],[2,3,28],[2,4,31],[2,5,27],[2,6,64],[2,7,82],[3,4,66],[3,5,1],[3,6,58],[3,7,64],[4,5,76],[4,6,97],[4,7,37],[5,6,23],[5,7,69],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (0,7)=3 Succeeded, w=4\",\"Add (0,4)=6 Succeeded, w=10\",\"Add (1,4)=16 Succeeded, w=26\",\"Add (6,7)=18 Succeeded, w=44\",\"Add (5,6)=23 Succeeded, w=67\",\"Add (2,5)=27 Succeeded, w=94\",\"Add (2,3)=28 Failed, w=94\",\"Add (0,2)=29 Failed, w=94\",\"Add (2,4)=31 Failed, w=94\",\"Add (0,1)=37 Failed, w=94\",\"Add (4,7)=37 Failed, w=94\",\"Add (1,5)=40 Failed, w=94\",\"Add (0,5)=42 Failed, w=94\",\"Add (0,3)=53 Failed, w=94\",\"Add (1,6)=55 Failed, w=94\",\"Add (3,6)=58 Failed, w=94\",\"Add (1,3)=62 Failed, w=94\",\"Add (2,6)=64 Failed, w=94\",\"Add (3,7)=64 Failed, w=94\",\"Add (0,6)=65 Failed, w=94\",\"Add (3,4)=66 Failed, w=94\",\"Add (5,7)=69 Failed, w=94\",\"Add (4,5)=76 Failed, w=94\",\"Add (2,7)=82 Failed, w=94\",\"Add (1,2)=85 Failed, w=94\",\"Add (1,7)=92 Failed, w=94\",\"Add (4,6)=97 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,29],[0,3,53],[0,4,6],[0,5,42],[0,6,65],[0,7,3],[1,2,85],[1,3,62],[1,4,16],[1,5,40],[1,6,55],[1,7,92],[2,3,28],[2,4,31],[2,5,27],[2,6,64],[2,7,82],[3,4,66],[3,5,1],[3,6,58],[3,7,64],[4,5,76],[4,6,97],[4,7,37],[5,6,23],[5,7,69],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,7)=3,(0,4)=6,(1,4)=16,(6,7)=18,(5,6)=23,(2,5)=27,(2,3)=28,(0,2)=29,(2,4)=31,(0,1)=37,(4,7)=37,(1,5)=40,(0,5)=42,(0,3)=53,(1,6)=55,(3,6)=58,(1,3)=62,(2,6)=64,(3,7)=64,(0,6)=65,(3,4)=66,(5,7)=69,(4,5)=76,(2,7)=82,(1,2)=85,(1,7)=92,(4,6)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=10\",\"Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=26\",\"Find(6)=6, Find(7)=0, Add (6,7)=18 Succeeded, w=44\",\"Find(5)=3, Find(6)=0, Add (5,6)=23 Succeeded, w=67\",\"Find(2)=2, Find(5)=3, Add (2,5)=27 Succeeded, w=94\",\"Find(2)=3, Find(3)=3, Add (2,3)=28 Failed, w=94\",\"Find(0)=3, Find(2)=3, Add (0,2)=29 Failed, w=94\",\"Find(2)=3, Find(4)=3, Add (2,4)=31 Failed, w=94\",\"Find(0)=3, Find(1)=3, Add (0,1)=37 Failed, w=94\",\"Find(4)=3, Find(7)=3, Add (4,7)=37 Failed, w=94\",\"Find(1)=3, Find(5)=3, Add (1,5)=40 Failed, w=94\",\"Find(0)=3, Find(5)=3, Add (0,5)=42 Failed, w=94\",\"Find(0)=3, Find(3)=3, Add (0,3)=53 Failed, w=94\",\"Find(1)=3, Find(6)=3, Add (1,6)=55 Failed, w=94\",\"Find(3)=3, Find(6)=3, Add (3,6)=58 Failed, w=94\",\"Find(1)=3, Find(3)=3, Add (1,3)=62 Failed, w=94\",\"Find(2)=3, Find(6)=3, Add (2,6)=64 Failed, w=94\",\"Find(3)=3, Find(7)=3, Add (3,7)=64 Failed, w=94\",\"Find(0)=3, Find(6)=3, Add (0,6)=65 Failed, w=94\",\"Find(3)=3, Find(4)=3, Add (3,4)=66 Failed, w=94\",\"Find(5)=3, Find(7)=3, Add (5,7)=69 Failed, w=94\",\"Find(4)=3, Find(5)=3, Add (4,5)=76 Failed, w=94\",\"Find(2)=3, Find(7)=3, Add (2,7)=82 Failed, w=94\",\"Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=94\",\"Find(1)=3, Find(7)=3, Add (1,7)=92 Failed, w=94\",\"Find(4)=3, Find(6)=3, Add (4,6)=97 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,29],[0,3,53],[0,4,6],[0,5,42],[0,6,65],[0,7,3],[1,2,85],[1,3,62],[1,4,16],[1,5,40],[1,6,55],[1,7,92],[2,3,28],[2,4,31],[2,5,27],[2,6,64],[2,7,82],[3,4,66],[3,5,1],[3,6,58],[3,7,64],[4,5,76],[4,6,97],[4,7,37],[5,6,23],[5,7,69],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,7)=3,(0,4)=6,(1,4)=16,(6,7)=18,(5,6)=23,(2,5)=27,(2,3)=28,(0,2)=29,(2,4)=31,(0,1)=37,(4,7)=37,(1,5)=40,(0,5)=42,(0,3)=53,(1,6)=55,(3,6)=58,(1,3)=62,(2,6)=64,(3,7)=64,(0,6)=65,(3,4)=66,(5,7)=69,(4,5)=76,(2,7)=82,(1,2)=85,(1,7)=92,(4,6)=97]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6, 7: 0}, Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=18 Succeeded, w=44\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(5)=3, Find(6)=0, Add (5,6)=23 Succeeded, w=67\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(2)=2, Find(5)=3, Add (2,5)=27 Succeeded, w=94\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(2)=3, Find(3)=3, Add (2,3)=28 Failed, w=94\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 0, 5: 3, 6: 0, 7: 0}, Find(0)=3, Find(2)=3, Add (0,2)=29 Failed, w=94\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 0}, Find(2)=3, Find(4)=3, Add (2,4)=31 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 0}, Find(0)=3, Find(1)=3, Add (0,1)=37 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=37 Failed, w=94\",\"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)=40 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=42 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=53 Failed, w=94\",\"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)=55 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=58 Failed, w=94\",\"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)=62 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=64 Failed, w=94\",\"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)=64 Failed, w=94\",\"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)=65 Failed, w=94\",\"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)=66 Failed, w=94\",\"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)=69 Failed, w=94\",\"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)=76 Failed, w=94\",\"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)=82 Failed, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=94\",\"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)=92 Failed, w=94\",\"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)=97 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,61],[0,3,89],[0,4,78],[1,2,18],[1,3,50],[1,4,18],[2,3,50],[2,4,63],[3,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[0,3,89],[0,4,78],[1,2,18],[1,3,50],[1,4,18],[2,3,50],[2,4,63],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[0,3,89],[0,4,78],[1,2,18],[1,3,50],[1,4,18],[2,3,50],[2,4,63],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[0,3,89],[0,4,78],[1,2,18],[1,3,50],[1,4,18],[2,3,50],[2,4,63],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (1,2)=18, w=19\",\"Add (1,4)=18, w=37\",\"Add (0,2)=61, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[0,3,89],[0,4,78],[1,2,18],[1,3,50],[1,4,18],[2,3,50],[2,4,63],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (1,2)=18 Succeeded, w=19\",\"Add (1,4)=18 Succeeded, w=37\",\"Add (1,3)=50 Failed, w=37\",\"Add (2,3)=50 Failed, w=37\",\"Add (0,2)=61 Succeeded, w=98\",\"Add (2,4)=63 Failed, w=98\",\"Add (0,4)=78 Failed, w=98\",\"Add (0,3)=89 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[0,3,89],[0,4,78],[1,2,18],[1,3,50],[1,4,18],[2,3,50],[2,4,63],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,2)=18,(1,4)=18,(1,3)=50,(2,3)=50,(0,2)=61,(2,4)=63,(0,4)=78,(0,3)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=19\",\"Find(1)=1, Find(4)=3, Add (1,4)=18 Succeeded, w=37\",\"Find(1)=1, Find(3)=1, Add (1,3)=50 Failed, w=37\",\"Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=37\",\"Find(0)=0, Find(2)=1, Add (0,2)=61 Succeeded, w=98\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=98\",\"Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=98\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,61],[0,3,89],[0,4,78],[1,2,18],[1,3,50],[1,4,18],[2,3,50],[2,4,63],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,2)=18,(1,4)=18,(1,3)=50,(2,3)=50,(0,2)=61,(2,4)=63,(0,4)=78,(0,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=18 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=1, Add (1,3)=50 Failed, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=0, Find(2)=1, Add (0,2)=61 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,15],[1,2,8],[1,3,31],[2,3,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,2,8],[1,3,31],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,2,8],[1,3,31],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,2,8],[1,3,31],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8, w=8\",\"Add (0,3)=15, w=23\",\"Add (1,3)=31, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,2,8],[1,3,31],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8 Succeeded, w=8\",\"Add (0,3)=15 Succeeded, w=23\",\"Add (1,3)=31 Succeeded, w=54\",\"Add (2,3)=62 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,2,8],[1,3,31],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,3)=15,(1,3)=31,(2,3)=62]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=23\",\"Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=54\",\"Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,15],[1,2,8],[1,3,31],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,3)=15,(1,3)=31,(2,3)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,52],[0,4,100],[0,5,36],[0,6,50],[1,2,59],[1,5,42],[2,3,63],[2,4,41],[2,6,87],[3,4,51],[3,5,12],[3,6,13],[4,6,55],[5,6,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,4,100],[0,5,36],[0,6,50],[1,2,59],[1,5,42],[2,3,63],[2,4,41],[2,6,87],[3,4,51],[3,5,12],[3,6,13],[4,6,55],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,4,100],[0,5,36],[0,6,50],[1,2,59],[1,5,42],[2,3,63],[2,4,41],[2,6,87],[3,4,51],[3,5,12],[3,6,13],[4,6,55],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (3,4)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,4,100],[0,5,36],[0,6,50],[1,2,59],[1,5,42],[2,3,63],[2,4,41],[2,6,87],[3,4,51],[3,5,12],[3,6,13],[4,6,55],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=12, w=12\",\"Add (3,6)=13, w=25\",\"Add (0,5)=36, w=61\",\"Add (2,4)=41, w=102\",\"Add (1,5)=42, w=144\",\"Add (3,4)=51, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,4,100],[0,5,36],[0,6,50],[1,2,59],[1,5,42],[2,3,63],[2,4,41],[2,6,87],[3,4,51],[3,5,12],[3,6,13],[4,6,55],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=12 Succeeded, w=12\",\"Add (3,6)=13 Succeeded, w=25\",\"Add (0,5)=36 Succeeded, w=61\",\"Add (2,4)=41 Succeeded, w=102\",\"Add (1,5)=42 Succeeded, w=144\",\"Add (0,6)=50 Failed, w=144\",\"Add (3,4)=51 Succeeded, w=195\",\"Add (0,2)=52 Failed, w=195\",\"Add (4,6)=55 Failed, w=195\",\"Add (1,2)=59 Failed, w=195\",\"Add (2,3)=63 Failed, w=195\",\"Add (5,6)=63 Failed, w=195\",\"Add (2,6)=87 Failed, w=195\",\"Add (0,4)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,4,100],[0,5,36],[0,6,50],[1,2,59],[1,5,42],[2,3,63],[2,4,41],[2,6,87],[3,4,51],[3,5,12],[3,6,13],[4,6,55],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=12,(3,6)=13,(0,5)=36,(2,4)=41,(1,5)=42,(0,6)=50,(3,4)=51,(0,2)=52,(4,6)=55,(1,2)=59,(2,3)=63,(5,6)=63,(2,6)=87,(0,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=12\",\"Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=25\",\"Find(0)=0, Find(5)=3, Add (0,5)=36 Succeeded, w=61\",\"Find(2)=2, Find(4)=4, Add (2,4)=41 Succeeded, w=102\",\"Find(1)=1, Find(5)=3, Add (1,5)=42 Succeeded, w=144\",\"Find(0)=3, Find(6)=3, Add (0,6)=50 Failed, w=144\",\"Find(3)=3, Find(4)=2, Add (3,4)=51 Succeeded, w=195\",\"Find(0)=3, Find(2)=3, Add (0,2)=52 Failed, w=195\",\"Find(4)=3, Find(6)=3, Add (4,6)=55 Failed, w=195\",\"Find(1)=3, Find(2)=3, Add (1,2)=59 Failed, w=195\",\"Find(2)=3, Find(3)=3, Add (2,3)=63 Failed, w=195\",\"Find(5)=3, Find(6)=3, Add (5,6)=63 Failed, w=195\",\"Find(2)=3, Find(6)=3, Add (2,6)=87 Failed, w=195\",\"Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,4,100],[0,5,36],[0,6,50],[1,2,59],[1,5,42],[2,3,63],[2,4,41],[2,6,87],[3,4,51],[3,5,12],[3,6,13],[4,6,55],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=12,(3,6)=13,(0,5)=36,(2,4)=41,(1,5)=42,(0,6)=50,(3,4)=51,(0,2)=52,(4,6)=55,(1,2)=59,(2,3)=63,(5,6)=63,(2,6)=87,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=25\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=36 Succeeded, w=61\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3}, Find(2)=2, Find(4)=4, Add (2,4)=41 Succeeded, w=102\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3}, Find(1)=1, Find(5)=3, Add (1,5)=42 Succeeded, w=144\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=50 Failed, w=144\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(3)=3, Find(4)=2, Add (3,4)=51 Succeeded, w=195\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=52 Failed, w=195\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=55 Failed, w=195\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=59 Failed, w=195\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=63 Failed, w=195\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=63 Failed, w=195\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=87 Failed, w=195\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,96],[0,3,39],[1,2,30],[1,3,56],[2,3,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,39],[1,2,30],[1,3,56],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,39],[1,2,30],[1,3,56],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,39],[1,2,30],[1,3,56],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (1,2)=30, w=42\",\"Add (0,3)=39, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,39],[1,2,30],[1,3,56],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (1,2)=30 Succeeded, w=42\",\"Add (0,3)=39 Succeeded, w=81\",\"Add (1,3)=56 Failed, w=81\",\"Add (0,1)=96 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,39],[1,2,30],[1,3,56],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(1,2)=30,(0,3)=39,(1,3)=56,(0,1)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=42\",\"Find(0)=0, Find(3)=2, Add (0,3)=39 Succeeded, w=81\",\"Find(1)=2, Find(3)=2, Add (1,3)=56 Failed, w=81\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,3,39],[1,2,30],[1,3,56],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(1,2)=30,(0,3)=39,(1,3)=56,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=42\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=39 Succeeded, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=56 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,86],[0,3,88],[0,4,63],[0,5,15],[1,2,8],[1,3,87],[1,4,71],[2,3,43],[2,4,86],[2,5,66],[3,4,42],[3,5,27],[4,5,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,86],[0,3,88],[0,4,63],[0,5,15],[1,2,8],[1,3,87],[1,4,71],[2,3,43],[2,4,86],[2,5,66],[3,4,42],[3,5,27],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,86],[0,3,88],[0,4,63],[0,5,15],[1,2,8],[1,3,87],[1,4,71],[2,3,43],[2,4,86],[2,5,66],[3,4,42],[3,5,27],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (3,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,86],[0,3,88],[0,4,63],[0,5,15],[1,2,8],[1,3,87],[1,4,71],[2,3,43],[2,4,86],[2,5,66],[3,4,42],[3,5,27],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8, w=8\",\"Add (0,1)=13, w=21\",\"Add (0,5)=15, w=36\",\"Add (3,5)=27, w=63\",\"Add (3,4)=42, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,86],[0,3,88],[0,4,63],[0,5,15],[1,2,8],[1,3,87],[1,4,71],[2,3,43],[2,4,86],[2,5,66],[3,4,42],[3,5,27],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8 Succeeded, w=8\",\"Add (0,1)=13 Succeeded, w=21\",\"Add (0,5)=15 Succeeded, w=36\",\"Add (3,5)=27 Succeeded, w=63\",\"Add (3,4)=42 Succeeded, w=105\",\"Add (2,3)=43 Failed, w=105\",\"Add (0,4)=63 Failed, w=105\",\"Add (2,5)=66 Failed, w=105\",\"Add (1,4)=71 Failed, w=105\",\"Add (0,2)=86 Failed, w=105\",\"Add (2,4)=86 Failed, w=105\",\"Add (4,5)=86 Failed, w=105\",\"Add (1,3)=87 Failed, w=105\",\"Add (0,3)=88 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,86],[0,3,88],[0,4,63],[0,5,15],[1,2,8],[1,3,87],[1,4,71],[2,3,43],[2,4,86],[2,5,66],[3,4,42],[3,5,27],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,1)=13,(0,5)=15,(3,5)=27,(3,4)=42,(2,3)=43,(0,4)=63,(2,5)=66,(1,4)=71,(0,2)=86,(2,4)=86,(4,5)=86,(1,3)=87,(0,3)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=21\",\"Find(0)=1, Find(5)=5, Add (0,5)=15 Succeeded, w=36\",\"Find(3)=3, Find(5)=1, Add (3,5)=27 Succeeded, w=63\",\"Find(3)=1, Find(4)=4, Add (3,4)=42 Succeeded, w=105\",\"Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=105\",\"Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=105\",\"Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=105\",\"Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=105\",\"Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=105\",\"Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=105\",\"Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=105\",\"Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=105\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,86],[0,3,88],[0,4,63],[0,5,15],[1,2,8],[1,3,87],[1,4,71],[2,3,43],[2,4,86],[2,5,66],[3,4,42],[3,5,27],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,1)=13,(0,5)=15,(3,5)=27,(3,4)=42,(2,3)=43,(0,4)=63,(2,5)=66,(1,4)=71,(0,2)=86,(2,4)=86,(4,5)=86,(1,3)=87,(0,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=15 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=27 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=4, Add (3,4)=42 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=105\",\"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=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,31],[0,2,40],[0,3,90],[0,4,42],[0,6,57],[1,2,58],[1,3,5],[1,5,88],[1,6,18],[1,7,100],[2,3,84],[2,5,41],[2,6,43],[2,7,24],[3,4,24],[3,5,50],[3,7,31],[4,5,99],[4,6,6],[4,7,51],[5,7,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,40],[0,3,90],[0,4,42],[0,6,57],[1,2,58],[1,3,5],[1,5,88],[1,6,18],[1,7,100],[2,3,84],[2,5,41],[2,6,43],[2,7,24],[3,4,24],[3,5,50],[3,7,31],[4,5,99],[4,6,6],[4,7,51],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,40],[0,3,90],[0,4,42],[0,6,57],[1,2,58],[1,3,5],[1,5,88],[1,6,18],[1,7,100],[2,3,84],[2,5,41],[2,6,43],[2,7,24],[3,4,24],[3,5,50],[3,7,31],[4,5,99],[4,6,6],[4,7,51],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (0,1)\",\"Add (3,7)\",\"Add (2,5)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,40],[0,3,90],[0,4,42],[0,6,57],[1,2,58],[1,3,5],[1,5,88],[1,6,18],[1,7,100],[2,3,84],[2,5,41],[2,6,43],[2,7,24],[3,4,24],[3,5,50],[3,7,31],[4,5,99],[4,6,6],[4,7,51],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (4,6)=6, w=11\",\"Add (1,6)=18, w=29\",\"Add (2,7)=24, w=53\",\"Add (0,1)=31, w=84\",\"Add (3,7)=31, w=115\",\"Add (2,5)=41, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,40],[0,3,90],[0,4,42],[0,6,57],[1,2,58],[1,3,5],[1,5,88],[1,6,18],[1,7,100],[2,3,84],[2,5,41],[2,6,43],[2,7,24],[3,4,24],[3,5,50],[3,7,31],[4,5,99],[4,6,6],[4,7,51],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (4,6)=6 Succeeded, w=11\",\"Add (1,6)=18 Succeeded, w=29\",\"Add (2,7)=24 Succeeded, w=53\",\"Add (3,4)=24 Failed, w=53\",\"Add (0,1)=31 Succeeded, w=84\",\"Add (3,7)=31 Succeeded, w=115\",\"Add (0,2)=40 Failed, w=115\",\"Add (2,5)=41 Succeeded, w=156\",\"Add (0,4)=42 Failed, w=156\",\"Add (2,6)=43 Failed, w=156\",\"Add (3,5)=50 Failed, w=156\",\"Add (4,7)=51 Failed, w=156\",\"Add (5,7)=56 Failed, w=156\",\"Add (0,6)=57 Failed, w=156\",\"Add (1,2)=58 Failed, w=156\",\"Add (2,3)=84 Failed, w=156\",\"Add (1,5)=88 Failed, w=156\",\"Add (0,3)=90 Failed, w=156\",\"Add (4,5)=99 Failed, w=156\",\"Add (1,7)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,40],[0,3,90],[0,4,42],[0,6,57],[1,2,58],[1,3,5],[1,5,88],[1,6,18],[1,7,100],[2,3,84],[2,5,41],[2,6,43],[2,7,24],[3,4,24],[3,5,50],[3,7,31],[4,5,99],[4,6,6],[4,7,51],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(4,6)=6,(1,6)=18,(2,7)=24,(3,4)=24,(0,1)=31,(3,7)=31,(0,2)=40,(2,5)=41,(0,4)=42,(2,6)=43,(3,5)=50,(4,7)=51,(5,7)=56,(0,6)=57,(1,2)=58,(2,3)=84,(1,5)=88,(0,3)=90,(4,5)=99,(1,7)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=11\",\"Find(1)=1, Find(6)=4, Add (1,6)=18 Succeeded, w=29\",\"Find(2)=2, Find(7)=7, Add (2,7)=24 Succeeded, w=53\",\"Find(3)=1, Find(4)=1, Add (3,4)=24 Failed, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=84\",\"Find(3)=1, Find(7)=2, Add (3,7)=31 Succeeded, w=115\",\"Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=115\",\"Find(2)=1, Find(5)=5, Add (2,5)=41 Succeeded, w=156\",\"Find(0)=1, Find(4)=1, Add (0,4)=42 Failed, w=156\",\"Find(2)=1, Find(6)=1, Add (2,6)=43 Failed, w=156\",\"Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=156\",\"Find(4)=1, Find(7)=1, Add (4,7)=51 Failed, w=156\",\"Find(5)=1, Find(7)=1, Add (5,7)=56 Failed, w=156\",\"Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=156\",\"Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=156\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=156\",\"Find(1)=1, Find(5)=1, Add (1,5)=88 Failed, w=156\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=156\",\"Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=156\",\"Find(1)=1, Find(7)=1, Add (1,7)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,40],[0,3,90],[0,4,42],[0,6,57],[1,2,58],[1,3,5],[1,5,88],[1,6,18],[1,7,100],[2,3,84],[2,5,41],[2,6,43],[2,7,24],[3,4,24],[3,5,50],[3,7,31],[4,5,99],[4,6,6],[4,7,51],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(4,6)=6,(1,6)=18,(2,7)=24,(3,4)=24,(0,1)=31,(3,7)=31,(0,2)=40,(2,5)=41,(0,4)=42,(2,6)=43,(3,5)=50,(4,7)=51,(5,7)=56,(0,6)=57,(1,2)=58,(2,3)=84,(1,5)=88,(0,3)=90,(4,5)=99,(1,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(6)=4, Add (1,6)=18 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=24 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4, 7: 2}, Find(3)=1, Find(4)=1, Add (3,4)=24 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 4, 7: 2}, Find(3)=1, Find(7)=2, Add (3,7)=31 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 4, 7: 2}, Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 2}, Find(2)=1, Find(5)=5, Add (2,5)=41 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 2}, Find(0)=1, Find(4)=1, Add (0,4)=42 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(6)=1, Add (2,6)=43 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=156\",\"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)=51 Failed, w=156\",\"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)=56 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=156\",\"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)=58 Failed, w=156\",\"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)=84 Failed, w=156\",\"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)=88 Failed, w=156\",\"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)=90 Failed, w=156\",\"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)=99 Failed, w=156\",\"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)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,2,10],[0,3,22],[1,3,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,10],[0,3,22],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,10],[0,3,22],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,10],[0,3,22],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (1,3)=17, w=27\",\"Add (0,3)=22, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,10],[0,3,22],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (1,3)=17 Succeeded, w=27\",\"Add (0,3)=22 Succeeded, w=49\",\"Add (0,1)=70 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,10],[0,3,22],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(1,3)=17,(0,3)=22,(0,1)=70]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=27\",\"Find(0)=0, Find(3)=1, Add (0,3)=22 Succeeded, w=49\",\"Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,10],[0,3,22],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(1,3)=17,(0,3)=22,(0,1)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=22 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,7],[0,2,98],[0,4,85],[1,2,95],[1,3,58],[2,3,68],[3,4,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,98],[0,4,85],[1,2,95],[1,3,58],[2,3,68],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,98],[0,4,85],[1,2,95],[1,3,58],[2,3,68],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,98],[0,4,85],[1,2,95],[1,3,58],[2,3,68],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (3,4)=12, w=19\",\"Add (1,3)=58, w=77\",\"Add (2,3)=68, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,98],[0,4,85],[1,2,95],[1,3,58],[2,3,68],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (3,4)=12 Succeeded, w=19\",\"Add (1,3)=58 Succeeded, w=77\",\"Add (2,3)=68 Succeeded, w=145\",\"Add (0,4)=85 Failed, w=145\",\"Add (1,2)=95 Failed, w=145\",\"Add (0,2)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,98],[0,4,85],[1,2,95],[1,3,58],[2,3,68],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(3,4)=12,(1,3)=58,(2,3)=68,(0,4)=85,(1,2)=95,(0,2)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=19\",\"Find(1)=0, Find(3)=3, Add (1,3)=58 Succeeded, w=77\",\"Find(2)=2, Find(3)=0, Add (2,3)=68 Succeeded, w=145\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=145\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=145\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,98],[0,4,85],[1,2,95],[1,3,58],[2,3,68],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(3,4)=12,(1,3)=58,(2,3)=68,(0,4)=85,(1,2)=95,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(1)=0, Find(3)=3, Add (1,3)=58 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=2, Find(3)=0, Add (2,3)=68 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[1,2,98],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[1,2,98],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[1,2,98],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[1,2,98],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=29, w=29\",\"Add (0,1)=67, w=96\",\"Add (1,2)=98, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[1,2,98],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=29 Succeeded, w=29\",\"Add (0,1)=67 Succeeded, w=96\",\"Add (1,2)=98 Succeeded, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[1,2,98],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=29,(0,1)=67,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=67 Succeeded, w=96\",\"Find(1)=0, Find(2)=2, Add (1,2)=98 Succeeded, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[1,2,98],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=29,(0,1)=67,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=67 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=98 Succeeded, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,74],[0,2,79],[0,3,93],[1,2,45],[1,3,99],[2,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,79],[0,3,93],[1,2,45],[1,3,99],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,79],[0,3,93],[1,2,45],[1,3,99],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,79],[0,3,93],[1,2,45],[1,3,99],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=45, w=45\",\"Add (2,3)=60, w=105\",\"Add (0,1)=74, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,79],[0,3,93],[1,2,45],[1,3,99],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=45 Succeeded, w=45\",\"Add (2,3)=60 Succeeded, w=105\",\"Add (0,1)=74 Succeeded, w=179\",\"Add (0,2)=79 Failed, w=179\",\"Add (0,3)=93 Failed, w=179\",\"Add (1,3)=99 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,79],[0,3,93],[1,2,45],[1,3,99],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=45,(2,3)=60,(0,1)=74,(0,2)=79,(0,3)=93,(1,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=45\",\"Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=105\",\"Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=179\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=179\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=179\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,79],[0,3,93],[1,2,45],[1,3,99],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=45,(2,3)=60,(0,1)=74,(0,2)=79,(0,3)=93,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=60 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,50],[0,4,55],[1,2,47],[1,3,59],[1,4,5],[2,3,43],[2,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,50],[0,4,55],[1,2,47],[1,3,59],[1,4,5],[2,3,43],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,50],[0,4,55],[1,2,47],[1,3,59],[1,4,5],[2,3,43],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,50],[0,4,55],[1,2,47],[1,3,59],[1,4,5],[2,3,43],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (2,4)=19, w=24\",\"Add (2,3)=43, w=67\",\"Add (0,3)=50, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,50],[0,4,55],[1,2,47],[1,3,59],[1,4,5],[2,3,43],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (2,4)=19 Succeeded, w=24\",\"Add (2,3)=43 Succeeded, w=67\",\"Add (1,2)=47 Failed, w=67\",\"Add (0,3)=50 Succeeded, w=117\",\"Add (0,4)=55 Failed, w=117\",\"Add (1,3)=59 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,50],[0,4,55],[1,2,47],[1,3,59],[1,4,5],[2,3,43],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(2,4)=19,(2,3)=43,(1,2)=47,(0,3)=50,(0,4)=55,(1,3)=59]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=1, Add (2,4)=19 Succeeded, w=24\",\"Find(2)=1, Find(3)=3, Add (2,3)=43 Succeeded, w=67\",\"Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=67\",\"Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=117\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=117\",\"Find(1)=1, Find(3)=1, Add (1,3)=59 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,50],[0,4,55],[1,2,47],[1,3,59],[1,4,5],[2,3,43],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(2,4)=19,(2,3)=43,(1,2)=47,(0,3)=50,(0,4)=55,(1,3)=59]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=19 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=43 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=59 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,44],[0,3,80],[0,4,66],[0,5,93],[1,2,56],[1,3,78],[1,4,40],[1,5,70],[2,3,31],[2,4,63],[2,5,96],[3,4,45],[3,5,51],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,44],[0,3,80],[0,4,66],[0,5,93],[1,2,56],[1,3,78],[1,4,40],[1,5,70],[2,3,31],[2,4,63],[2,5,96],[3,4,45],[3,5,51],[4,5,80]]}",
"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\":[[0,2,44],[0,3,80],[0,4,66],[0,5,93],[1,2,56],[1,3,78],[1,4,40],[1,5,70],[2,3,31],[2,4,63],[2,5,96],[3,4,45],[3,5,51],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (3,5)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,44],[0,3,80],[0,4,66],[0,5,93],[1,2,56],[1,3,78],[1,4,40],[1,5,70],[2,3,31],[2,4,63],[2,5,96],[3,4,45],[3,5,51],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=31, w=31\",\"Add (1,4)=40, w=71\",\"Add (0,2)=44, w=115\",\"Add (3,4)=45, w=160\",\"Add (3,5)=51, 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\":[[0,2,44],[0,3,80],[0,4,66],[0,5,93],[1,2,56],[1,3,78],[1,4,40],[1,5,70],[2,3,31],[2,4,63],[2,5,96],[3,4,45],[3,5,51],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=31 Succeeded, w=31\",\"Add (1,4)=40 Succeeded, w=71\",\"Add (0,2)=44 Succeeded, w=115\",\"Add (3,4)=45 Succeeded, w=160\",\"Add (3,5)=51 Succeeded, w=211\",\"Add (1,2)=56 Failed, w=211\",\"Add (2,4)=63 Failed, w=211\",\"Add (0,4)=66 Failed, w=211\",\"Add (1,5)=70 Failed, w=211\",\"Add (1,3)=78 Failed, w=211\",\"Add (0,3)=80 Failed, w=211\",\"Add (4,5)=80 Failed, w=211\",\"Add (0,5)=93 Failed, w=211\",\"Add (2,5)=96 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\":[[0,2,44],[0,3,80],[0,4,66],[0,5,93],[1,2,56],[1,3,78],[1,4,40],[1,5,70],[2,3,31],[2,4,63],[2,5,96],[3,4,45],[3,5,51],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=31,(1,4)=40,(0,2)=44,(3,4)=45,(3,5)=51,(1,2)=56,(2,4)=63,(0,4)=66,(1,5)=70,(1,3)=78,(0,3)=80,(4,5)=80,(0,5)=93,(2,5)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=31\",\"Find(1)=1, Find(4)=4, Add (1,4)=40 Succeeded, w=71\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=115\",\"Find(3)=2, Find(4)=1, Add (3,4)=45 Succeeded, w=160\",\"Find(3)=2, Find(5)=5, Add (3,5)=51 Succeeded, w=211\",\"Find(1)=2, Find(2)=2, Add (1,2)=56 Failed, w=211\",\"Find(2)=2, Find(4)=2, Add (2,4)=63 Failed, w=211\",\"Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=211\",\"Find(1)=2, Find(5)=2, Add (1,5)=70 Failed, w=211\",\"Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=211\",\"Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=211\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=211\",\"Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=211\",\"Find(2)=2, Find(5)=2, Add (2,5)=96 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\":[[0,2,44],[0,3,80],[0,4,66],[0,5,93],[1,2,56],[1,3,78],[1,4,40],[1,5,70],[2,3,31],[2,4,63],[2,5,96],[3,4,45],[3,5,51],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=31,(1,4)=40,(0,2)=44,(3,4)=45,(3,5)=51,(1,2)=56,(2,4)=63,(0,4)=66,(1,5)=70,(1,3)=78,(0,3)=80,(4,5)=80,(0,5)=93,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=40 Succeeded, w=71\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 5}, Find(3)=2, Find(4)=1, Add (3,4)=45 Succeeded, w=160\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=51 Succeeded, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=56 Failed, w=211\",\"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=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=70 Failed, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=211\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=96 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,76],[0,2,11],[0,3,47],[0,5,55],[1,5,58],[2,4,4],[2,5,37],[3,5,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,11],[0,3,47],[0,5,55],[1,5,58],[2,4,4],[2,5,37],[3,5,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,11],[0,3,47],[0,5,55],[1,5,58],[2,4,4],[2,5,37],[3,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (1,5)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,11],[0,3,47],[0,5,55],[1,5,58],[2,4,4],[2,5,37],[3,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (0,2)=11, w=15\",\"Add (3,5)=30, w=45\",\"Add (2,5)=37, w=82\",\"Add (1,5)=58, 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\":[[0,1,76],[0,2,11],[0,3,47],[0,5,55],[1,5,58],[2,4,4],[2,5,37],[3,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (0,2)=11 Succeeded, w=15\",\"Add (3,5)=30 Succeeded, w=45\",\"Add (2,5)=37 Succeeded, w=82\",\"Add (0,3)=47 Failed, w=82\",\"Add (0,5)=55 Failed, w=82\",\"Add (1,5)=58 Succeeded, w=140\",\"Add (0,1)=76 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\":[[0,1,76],[0,2,11],[0,3,47],[0,5,55],[1,5,58],[2,4,4],[2,5,37],[3,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=11,(3,5)=30,(2,5)=37,(0,3)=47,(0,5)=55,(1,5)=58,(0,1)=76]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Find(3)=3, Find(5)=5, Add (3,5)=30 Succeeded, w=45\",\"Find(2)=2, Find(5)=3, Add (2,5)=37 Succeeded, w=82\",\"Find(0)=2, Find(3)=2, Add (0,3)=47 Failed, w=82\",\"Find(0)=2, Find(5)=2, Add (0,5)=55 Failed, w=82\",\"Find(1)=1, Find(5)=2, Add (1,5)=58 Succeeded, w=140\",\"Find(0)=2, Find(1)=2, Add (0,1)=76 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\":[[0,1,76],[0,2,11],[0,3,47],[0,5,55],[1,5,58],[2,4,4],[2,5,37],[3,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=11,(3,5)=30,(2,5)=37,(0,3)=47,(0,5)=55,(1,5)=58,(0,1)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=30 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=37 Succeeded, w=82\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3}, Find(0)=2, Find(3)=2, Add (0,3)=47 Failed, w=82\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=55 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=58 Succeeded, w=140\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,88],[0,2,64],[0,3,48],[0,4,37],[0,5,29],[1,3,29],[1,4,96],[2,3,28],[2,4,85],[2,5,44],[3,4,83],[3,5,80],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,64],[0,3,48],[0,4,37],[0,5,29],[1,3,29],[1,4,96],[2,3,28],[2,4,85],[2,5,44],[3,4,83],[3,5,80],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,64],[0,3,48],[0,4,37],[0,5,29],[1,3,29],[1,4,96],[2,3,28],[2,4,85],[2,5,44],[3,4,83],[3,5,80],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,64],[0,3,48],[0,4,37],[0,5,29],[1,3,29],[1,4,96],[2,3,28],[2,4,85],[2,5,44],[3,4,83],[3,5,80],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=28, w=28\",\"Add (0,5)=29, w=57\",\"Add (1,3)=29, w=86\",\"Add (0,4)=37, w=123\",\"Add (2,5)=44, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,64],[0,3,48],[0,4,37],[0,5,29],[1,3,29],[1,4,96],[2,3,28],[2,4,85],[2,5,44],[3,4,83],[3,5,80],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=28 Succeeded, w=28\",\"Add (0,5)=29 Succeeded, w=57\",\"Add (1,3)=29 Succeeded, w=86\",\"Add (0,4)=37 Succeeded, w=123\",\"Add (2,5)=44 Succeeded, w=167\",\"Add (0,3)=48 Failed, w=167\",\"Add (0,2)=64 Failed, w=167\",\"Add (3,5)=80 Failed, w=167\",\"Add (4,5)=80 Failed, w=167\",\"Add (3,4)=83 Failed, w=167\",\"Add (2,4)=85 Failed, w=167\",\"Add (0,1)=88 Failed, w=167\",\"Add (1,4)=96 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,64],[0,3,48],[0,4,37],[0,5,29],[1,3,29],[1,4,96],[2,3,28],[2,4,85],[2,5,44],[3,4,83],[3,5,80],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=28,(0,5)=29,(1,3)=29,(0,4)=37,(2,5)=44,(0,3)=48,(0,2)=64,(3,5)=80,(4,5)=80,(3,4)=83,(2,4)=85,(0,1)=88,(1,4)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=57\",\"Find(1)=1, Find(3)=2, Add (1,3)=29 Succeeded, w=86\",\"Find(0)=0, Find(4)=4, Add (0,4)=37 Succeeded, w=123\",\"Find(2)=2, Find(5)=0, Add (2,5)=44 Succeeded, w=167\",\"Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=167\",\"Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=167\",\"Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=167\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=167\",\"Find(3)=2, Find(4)=2, Add (3,4)=83 Failed, w=167\",\"Find(2)=2, Find(4)=2, Add (2,4)=85 Failed, w=167\",\"Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=167\",\"Find(1)=2, Find(4)=2, Add (1,4)=96 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,64],[0,3,48],[0,4,37],[0,5,29],[1,3,29],[1,4,96],[2,3,28],[2,4,85],[2,5,44],[3,4,83],[3,5,80],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=28,(0,5)=29,(1,3)=29,(0,4)=37,(2,5)=44,(0,3)=48,(0,2)=64,(3,5)=80,(4,5)=80,(3,4)=83,(2,4)=85,(0,1)=88,(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)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=57\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0}, Find(1)=1, Find(3)=2, Add (1,3)=29 Succeeded, w=86\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=37 Succeeded, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=44 Succeeded, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 0}, Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 0}, Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=83 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=85 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=167\",\"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=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,87],[0,4,38],[1,2,98],[1,4,55],[1,5,56],[2,3,87],[2,5,1],[2,6,24],[2,7,96],[3,6,96],[3,7,87],[4,5,54],[4,7,9],[5,7,81],[6,7,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,87],[0,4,38],[1,2,98],[1,4,55],[1,5,56],[2,3,87],[2,5,1],[2,6,24],[2,7,96],[3,6,96],[3,7,87],[4,5,54],[4,7,9],[5,7,81],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,87],[0,4,38],[1,2,98],[1,4,55],[1,5,56],[2,3,87],[2,5,1],[2,6,24],[2,7,96],[3,6,96],[3,7,87],[4,5,54],[4,7,9],[5,7,81],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,7)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (6,7)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,87],[0,4,38],[1,2,98],[1,4,55],[1,5,56],[2,3,87],[2,5,1],[2,6,24],[2,7,96],[3,6,96],[3,7,87],[4,5,54],[4,7,9],[5,7,81],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (4,7)=9, w=10\",\"Add (2,6)=24, w=34\",\"Add (0,4)=38, w=72\",\"Add (6,7)=42, w=114\",\"Add (1,4)=55, w=169\",\"Add (0,3)=87, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,87],[0,4,38],[1,2,98],[1,4,55],[1,5,56],[2,3,87],[2,5,1],[2,6,24],[2,7,96],[3,6,96],[3,7,87],[4,5,54],[4,7,9],[5,7,81],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (4,7)=9 Succeeded, w=10\",\"Add (2,6)=24 Succeeded, w=34\",\"Add (0,4)=38 Succeeded, w=72\",\"Add (6,7)=42 Succeeded, w=114\",\"Add (4,5)=54 Failed, w=114\",\"Add (1,4)=55 Succeeded, w=169\",\"Add (1,5)=56 Failed, w=169\",\"Add (5,7)=81 Failed, w=169\",\"Add (0,3)=87 Succeeded, w=256\",\"Add (2,3)=87 Failed, w=256\",\"Add (3,7)=87 Failed, w=256\",\"Add (2,7)=96 Failed, w=256\",\"Add (3,6)=96 Failed, w=256\",\"Add (1,2)=98 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,87],[0,4,38],[1,2,98],[1,4,55],[1,5,56],[2,3,87],[2,5,1],[2,6,24],[2,7,96],[3,6,96],[3,7,87],[4,5,54],[4,7,9],[5,7,81],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,7)=9,(2,6)=24,(0,4)=38,(6,7)=42,(4,5)=54,(1,4)=55,(1,5)=56,(5,7)=81,(0,3)=87,(2,3)=87,(3,7)=87,(2,7)=96,(3,6)=96,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(7)=7, Add (4,7)=9 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=24 Succeeded, w=34\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=72\",\"Find(6)=2, Find(7)=4, Add (6,7)=42 Succeeded, w=114\",\"Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=114\",\"Find(1)=1, Find(4)=2, Add (1,4)=55 Succeeded, w=169\",\"Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=169\",\"Find(5)=2, Find(7)=2, Add (5,7)=81 Failed, w=169\",\"Find(0)=2, Find(3)=3, Add (0,3)=87 Succeeded, w=256\",\"Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=256\",\"Find(3)=2, Find(7)=2, Add (3,7)=87 Failed, w=256\",\"Find(2)=2, Find(7)=2, Add (2,7)=96 Failed, w=256\",\"Find(3)=2, Find(6)=2, Add (3,6)=96 Failed, w=256\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,87],[0,4,38],[1,2,98],[1,4,55],[1,5,56],[2,3,87],[2,5,1],[2,6,24],[2,7,96],[3,6,96],[3,7,87],[4,5,54],[4,7,9],[5,7,81],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,7)=9,(2,6)=24,(0,4)=38,(6,7)=42,(4,5)=54,(1,4)=55,(1,5)=56,(5,7)=81,(0,3)=87,(2,3)=87,(3,7)=87,(2,7)=96,(3,6)=96,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 4}, Find(2)=2, Find(6)=6, Add (2,6)=24 Succeeded, w=34\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=72\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 4}, Find(6)=2, Find(7)=4, Add (6,7)=42 Succeeded, w=114\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 4}, Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=114\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 4}, Find(1)=1, Find(4)=2, Add (1,4)=55 Succeeded, w=169\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 4}, Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=169\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=81 Failed, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=3, Add (0,3)=87 Succeeded, w=256\",\"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)=87 Failed, w=256\",\"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)=87 Failed, w=256\",\"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)=96 Failed, w=256\",\"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)=96 Failed, w=256\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,58],[0,2,14],[0,3,75],[0,5,19],[1,2,71],[1,3,36],[1,4,5],[1,5,84],[1,6,60],[2,3,9],[2,5,35],[2,6,94],[3,5,25],[3,6,74],[4,5,67],[5,6,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,14],[0,3,75],[0,5,19],[1,2,71],[1,3,36],[1,4,5],[1,5,84],[1,6,60],[2,3,9],[2,5,35],[2,6,94],[3,5,25],[3,6,74],[4,5,67],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,14],[0,3,75],[0,5,19],[1,2,71],[1,3,36],[1,4,5],[1,5,84],[1,6,60],[2,3,9],[2,5,35],[2,6,94],[3,5,25],[3,6,74],[4,5,67],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (1,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,14],[0,3,75],[0,5,19],[1,2,71],[1,3,36],[1,4,5],[1,5,84],[1,6,60],[2,3,9],[2,5,35],[2,6,94],[3,5,25],[3,6,74],[4,5,67],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (2,3)=9, w=14\",\"Add (0,2)=14, w=28\",\"Add (5,6)=15, w=43\",\"Add (0,5)=19, w=62\",\"Add (1,3)=36, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,14],[0,3,75],[0,5,19],[1,2,71],[1,3,36],[1,4,5],[1,5,84],[1,6,60],[2,3,9],[2,5,35],[2,6,94],[3,5,25],[3,6,74],[4,5,67],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (2,3)=9 Succeeded, w=14\",\"Add (0,2)=14 Succeeded, w=28\",\"Add (5,6)=15 Succeeded, w=43\",\"Add (0,5)=19 Succeeded, w=62\",\"Add (3,5)=25 Failed, w=62\",\"Add (2,5)=35 Failed, w=62\",\"Add (1,3)=36 Succeeded, w=98\",\"Add (0,1)=58 Failed, w=98\",\"Add (1,6)=60 Failed, w=98\",\"Add (4,5)=67 Failed, w=98\",\"Add (1,2)=71 Failed, w=98\",\"Add (3,6)=74 Failed, w=98\",\"Add (0,3)=75 Failed, w=98\",\"Add (1,5)=84 Failed, w=98\",\"Add (2,6)=94 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,14],[0,3,75],[0,5,19],[1,2,71],[1,3,36],[1,4,5],[1,5,84],[1,6,60],[2,3,9],[2,5,35],[2,6,94],[3,5,25],[3,6,74],[4,5,67],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(2,3)=9,(0,2)=14,(5,6)=15,(0,5)=19,(3,5)=25,(2,5)=35,(1,3)=36,(0,1)=58,(1,6)=60,(4,5)=67,(1,2)=71,(3,6)=74,(0,3)=75,(1,5)=84,(2,6)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=28\",\"Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=43\",\"Find(0)=2, Find(5)=5, Add (0,5)=19 Succeeded, w=62\",\"Find(3)=2, Find(5)=2, Add (3,5)=25 Failed, w=62\",\"Find(2)=2, Find(5)=2, Add (2,5)=35 Failed, w=62\",\"Find(1)=1, Find(3)=2, Add (1,3)=36 Succeeded, w=98\",\"Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=98\",\"Find(1)=2, Find(6)=2, Add (1,6)=60 Failed, w=98\",\"Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=98\",\"Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=98\",\"Find(3)=2, Find(6)=2, Add (3,6)=74 Failed, w=98\",\"Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=98\",\"Find(1)=2, Find(5)=2, Add (1,5)=84 Failed, w=98\",\"Find(2)=2, Find(6)=2, Add (2,6)=94 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,14],[0,3,75],[0,5,19],[1,2,71],[1,3,36],[1,4,5],[1,5,84],[1,6,60],[2,3,9],[2,5,35],[2,6,94],[3,5,25],[3,6,74],[4,5,67],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(2,3)=9,(0,2)=14,(5,6)=15,(0,5)=19,(3,5)=25,(2,5)=35,(1,3)=36,(0,1)=58,(1,6)=60,(4,5)=67,(1,2)=71,(3,6)=74,(0,3)=75,(1,5)=84,(2,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 5}, Find(0)=2, Find(5)=5, Add (0,5)=19 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 5}, Find(3)=2, Find(5)=2, Add (3,5)=25 Failed, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 5}, Find(2)=2, Find(5)=2, Add (2,5)=35 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 5}, Find(1)=1, Find(3)=2, Add (1,3)=36 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 5}, Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=60 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=74 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=84 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=94 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,3,23],[1,2,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,23],[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,23],[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,23],[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23, w=23\",\"Add (0,1)=34, w=57\",\"Add (1,2)=48, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,23],[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23 Succeeded, w=23\",\"Add (0,1)=34 Succeeded, w=57\",\"Add (1,2)=48 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,23],[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,1)=34,(1,2)=48]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=57\",\"Find(1)=0, Find(2)=2, Add (1,2)=48 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,3,23],[1,2,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,1)=34,(1,2)=48]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=48 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,18],[0,3,29],[0,4,3],[0,6,14],[1,2,82],[1,5,93],[1,6,43],[2,3,48],[2,4,52],[2,5,87],[3,4,89],[3,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,3,29],[0,4,3],[0,6,14],[1,2,82],[1,5,93],[1,6,43],[2,3,48],[2,4,52],[2,5,87],[3,4,89],[3,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,3,29],[0,4,3],[0,6,14],[1,2,82],[1,5,93],[1,6,43],[2,3,48],[2,4,52],[2,5,87],[3,4,89],[3,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (2,5)\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,3,29],[0,4,3],[0,6,14],[1,2,82],[1,5,93],[1,6,43],[2,3,48],[2,4,52],[2,5,87],[3,4,89],[3,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (0,6)=14, w=17\",\"Add (0,1)=18, w=35\",\"Add (0,3)=29, w=64\",\"Add (2,3)=48, w=112\",\"Add (2,5)=87, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,3,29],[0,4,3],[0,6,14],[1,2,82],[1,5,93],[1,6,43],[2,3,48],[2,4,52],[2,5,87],[3,4,89],[3,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (0,6)=14 Succeeded, w=17\",\"Add (0,1)=18 Succeeded, w=35\",\"Add (0,3)=29 Succeeded, w=64\",\"Add (1,6)=43 Failed, w=64\",\"Add (2,3)=48 Succeeded, w=112\",\"Add (2,4)=52 Failed, w=112\",\"Add (3,6)=58 Failed, w=112\",\"Add (1,2)=82 Failed, w=112\",\"Add (2,5)=87 Succeeded, w=199\",\"Add (3,4)=89 Failed, w=199\",\"Add (1,5)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,3,29],[0,4,3],[0,6,14],[1,2,82],[1,5,93],[1,6,43],[2,3,48],[2,4,52],[2,5,87],[3,4,89],[3,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(0,6)=14,(0,1)=18,(0,3)=29,(1,6)=43,(2,3)=48,(2,4)=52,(3,6)=58,(1,2)=82,(2,5)=87,(3,4)=89,(1,5)=93]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=64\",\"Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=64\",\"Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=112\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=112\",\"Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=112\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=112\",\"Find(2)=0, Find(5)=5, Add (2,5)=87 Succeeded, w=199\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=199\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,3,29],[0,4,3],[0,6,14],[1,2,82],[1,5,93],[1,6,43],[2,3,48],[2,4,52],[2,5,87],[3,4,89],[3,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(0,6)=14,(0,1)=18,(0,3)=29,(1,6)=43,(2,3)=48,(2,4)=52,(3,6)=58,(1,2)=82,(2,5)=87,(3,4)=89,(1,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=87 Succeeded, w=199\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=199\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,25],[0,2,91],[0,3,43],[0,4,2],[0,5,29],[0,6,1],[0,7,60],[1,2,32],[1,3,66],[1,4,64],[1,6,9],[1,7,91],[2,3,100],[2,4,71],[2,5,7],[2,6,91],[2,7,64],[3,4,76],[3,5,68],[3,6,69],[3,7,38],[4,5,43],[4,6,4],[4,7,68],[5,6,79],[5,7,63],[6,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,91],[0,3,43],[0,4,2],[0,5,29],[0,6,1],[0,7,60],[1,2,32],[1,3,66],[1,4,64],[1,6,9],[1,7,91],[2,3,100],[2,4,71],[2,5,7],[2,6,91],[2,7,64],[3,4,76],[3,5,68],[3,6,69],[3,7,38],[4,5,43],[4,6,4],[4,7,68],[5,6,79],[5,7,63],[6,7,88]]}",
"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\":[[0,1,25],[0,2,91],[0,3,43],[0,4,2],[0,5,29],[0,6,1],[0,7,60],[1,2,32],[1,3,66],[1,4,64],[1,6,9],[1,7,91],[2,3,100],[2,4,71],[2,5,7],[2,6,91],[2,7,64],[3,4,76],[3,5,68],[3,6,69],[3,7,38],[4,5,43],[4,6,4],[4,7,68],[5,6,79],[5,7,63],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (3,7)\",\"Add (0,3)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,91],[0,3,43],[0,4,2],[0,5,29],[0,6,1],[0,7,60],[1,2,32],[1,3,66],[1,4,64],[1,6,9],[1,7,91],[2,3,100],[2,4,71],[2,5,7],[2,6,91],[2,7,64],[3,4,76],[3,5,68],[3,6,69],[3,7,38],[4,5,43],[4,6,4],[4,7,68],[5,6,79],[5,7,63],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (0,4)=2, w=3\",\"Add (2,5)=7, w=10\",\"Add (1,6)=9, w=19\",\"Add (0,5)=29, w=48\",\"Add (3,7)=38, w=86\",\"Add (0,3)=43, 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\":[[0,1,25],[0,2,91],[0,3,43],[0,4,2],[0,5,29],[0,6,1],[0,7,60],[1,2,32],[1,3,66],[1,4,64],[1,6,9],[1,7,91],[2,3,100],[2,4,71],[2,5,7],[2,6,91],[2,7,64],[3,4,76],[3,5,68],[3,6,69],[3,7,38],[4,5,43],[4,6,4],[4,7,68],[5,6,79],[5,7,63],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (0,4)=2 Succeeded, w=3\",\"Add (4,6)=4 Failed, w=3\",\"Add (2,5)=7 Succeeded, w=10\",\"Add (1,6)=9 Succeeded, w=19\",\"Add (0,1)=25 Failed, w=19\",\"Add (0,5)=29 Succeeded, w=48\",\"Add (1,2)=32 Failed, w=48\",\"Add (3,7)=38 Succeeded, w=86\",\"Add (0,3)=43 Succeeded, w=129\",\"Add (4,5)=43 Failed, w=129\",\"Add (0,7)=60 Failed, w=129\",\"Add (5,7)=63 Failed, w=129\",\"Add (1,4)=64 Failed, w=129\",\"Add (2,7)=64 Failed, w=129\",\"Add (1,3)=66 Failed, w=129\",\"Add (3,5)=68 Failed, w=129\",\"Add (4,7)=68 Failed, w=129\",\"Add (3,6)=69 Failed, w=129\",\"Add (2,4)=71 Failed, w=129\",\"Add (3,4)=76 Failed, w=129\",\"Add (5,6)=79 Failed, w=129\",\"Add (6,7)=88 Failed, w=129\",\"Add (0,2)=91 Failed, w=129\",\"Add (1,7)=91 Failed, w=129\",\"Add (2,6)=91 Failed, w=129\",\"Add (2,3)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,91],[0,3,43],[0,4,2],[0,5,29],[0,6,1],[0,7,60],[1,2,32],[1,3,66],[1,4,64],[1,6,9],[1,7,91],[2,3,100],[2,4,71],[2,5,7],[2,6,91],[2,7,64],[3,4,76],[3,5,68],[3,6,69],[3,7,38],[4,5,43],[4,6,4],[4,7,68],[5,6,79],[5,7,63],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(0,4)=2,(4,6)=4,(2,5)=7,(1,6)=9,(0,1)=25,(0,5)=29,(1,2)=32,(3,7)=38,(0,3)=43,(4,5)=43,(0,7)=60,(5,7)=63,(1,4)=64,(2,7)=64,(1,3)=66,(3,5)=68,(4,7)=68,(3,6)=69,(2,4)=71,(3,4)=76,(5,6)=79,(6,7)=88,(0,2)=91,(1,7)=91,(2,6)=91,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=3\",\"Find(4)=0, Find(6)=0, Add (4,6)=4 Failed, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=10\",\"Find(1)=1, Find(6)=0, Add (1,6)=9 Succeeded, w=19\",\"Find(0)=0, Find(1)=0, Add (0,1)=25 Failed, w=19\",\"Find(0)=0, Find(5)=2, Add (0,5)=29 Succeeded, w=48\",\"Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=48\",\"Find(3)=3, Find(7)=7, Add (3,7)=38 Succeeded, w=86\",\"Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=129\",\"Find(4)=0, Find(5)=0, Add (4,5)=43 Failed, w=129\",\"Find(0)=0, Find(7)=0, Add (0,7)=60 Failed, w=129\",\"Find(5)=0, Find(7)=0, Add (5,7)=63 Failed, w=129\",\"Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=129\",\"Find(2)=0, Find(7)=0, Add (2,7)=64 Failed, w=129\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=129\",\"Find(3)=0, Find(5)=0, Add (3,5)=68 Failed, w=129\",\"Find(4)=0, Find(7)=0, Add (4,7)=68 Failed, w=129\",\"Find(3)=0, Find(6)=0, Add (3,6)=69 Failed, w=129\",\"Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=129\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=129\",\"Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=129\",\"Find(6)=0, Find(7)=0, Add (6,7)=88 Failed, w=129\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=129\",\"Find(1)=0, Find(7)=0, Add (1,7)=91 Failed, w=129\",\"Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=129\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,91],[0,3,43],[0,4,2],[0,5,29],[0,6,1],[0,7,60],[1,2,32],[1,3,66],[1,4,64],[1,6,9],[1,7,91],[2,3,100],[2,4,71],[2,5,7],[2,6,91],[2,7,64],[3,4,76],[3,5,68],[3,6,69],[3,7,38],[4,5,43],[4,6,4],[4,7,68],[5,6,79],[5,7,63],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(0,4)=2,(4,6)=4,(2,5)=7,(1,6)=9,(0,1)=25,(0,5)=29,(1,2)=32,(3,7)=38,(0,3)=43,(4,5)=43,(0,7)=60,(5,7)=63,(1,4)=64,(2,7)=64,(1,3)=66,(3,5)=68,(4,7)=68,(3,6)=69,(2,4)=71,(3,4)=76,(5,6)=79,(6,7)=88,(0,2)=91,(1,7)=91,(2,6)=91,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(4)=0, Find(6)=0, Add (4,6)=4 Failed, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0, 7: 7}, Find(0)=0, Find(1)=0, Add (0,1)=25 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 0, 7: 7}, Find(0)=0, Find(5)=2, Add (0,5)=29 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 0, 7: 7}, Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 0, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=38 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=0, Find(5)=0, Add (4,5)=43 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=60 Failed, w=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)=63 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)=64 Failed, w=129\",\"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)=64 Failed, w=129\",\"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)=66 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=68 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)=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(6)=0, Add (3,6)=69 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 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)=79 Failed, 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)=88 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)=91 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)=91 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)=91 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,35],[0,2,21],[0,4,51],[1,2,93],[1,3,78],[1,4,22],[2,3,80],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,21],[0,4,51],[1,2,93],[1,3,78],[1,4,22],[2,3,80],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,21],[0,4,51],[1,2,93],[1,3,78],[1,4,22],[2,3,80],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,21],[0,4,51],[1,2,93],[1,3,78],[1,4,22],[2,3,80],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=19, w=19\",\"Add (0,2)=21, w=40\",\"Add (1,4)=22, w=62\",\"Add (0,1)=35, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,21],[0,4,51],[1,2,93],[1,3,78],[1,4,22],[2,3,80],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=19 Succeeded, w=19\",\"Add (0,2)=21 Succeeded, w=40\",\"Add (1,4)=22 Succeeded, w=62\",\"Add (0,1)=35 Succeeded, w=97\",\"Add (0,4)=51 Failed, w=97\",\"Add (1,3)=78 Failed, w=97\",\"Add (2,3)=80 Failed, w=97\",\"Add (1,2)=93 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,21],[0,4,51],[1,2,93],[1,3,78],[1,4,22],[2,3,80],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=19,(0,2)=21,(1,4)=22,(0,1)=35,(0,4)=51,(1,3)=78,(2,3)=80,(1,2)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=40\",\"Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=62\",\"Find(0)=0, Find(1)=3, Add (0,1)=35 Succeeded, w=97\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,21],[0,4,51],[1,2,93],[1,3,78],[1,4,22],[2,3,80],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=19,(0,2)=21,(1,4)=22,(0,1)=35,(0,4)=51,(1,3)=78,(2,3)=80,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=62\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(1)=3, Add (0,1)=35 Succeeded, w=97\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,2,68],[0,3,79],[0,4,66],[0,5,80],[1,3,43],[1,4,81],[1,5,51],[2,3,5],[2,4,91],[2,5,10],[3,4,39],[3,5,9],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,68],[0,3,79],[0,4,66],[0,5,80],[1,3,43],[1,4,81],[1,5,51],[2,3,5],[2,4,91],[2,5,10],[3,4,39],[3,5,9],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,68],[0,3,79],[0,4,66],[0,5,80],[1,3,43],[1,4,81],[1,5,51],[2,3,5],[2,4,91],[2,5,10],[3,4,39],[3,5,9],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,68],[0,3,79],[0,4,66],[0,5,80],[1,3,43],[1,4,81],[1,5,51],[2,3,5],[2,4,91],[2,5,10],[3,4,39],[3,5,9],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (3,5)=9, w=14\",\"Add (3,4)=39, w=53\",\"Add (1,3)=43, w=96\",\"Add (0,4)=66, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,68],[0,3,79],[0,4,66],[0,5,80],[1,3,43],[1,4,81],[1,5,51],[2,3,5],[2,4,91],[2,5,10],[3,4,39],[3,5,9],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (3,5)=9 Succeeded, w=14\",\"Add (2,5)=10 Failed, w=14\",\"Add (3,4)=39 Succeeded, w=53\",\"Add (1,3)=43 Succeeded, w=96\",\"Add (1,5)=51 Failed, w=96\",\"Add (4,5)=56 Failed, w=96\",\"Add (0,4)=66 Succeeded, w=162\",\"Add (0,2)=68 Failed, w=162\",\"Add (0,3)=79 Failed, w=162\",\"Add (0,5)=80 Failed, w=162\",\"Add (1,4)=81 Failed, w=162\",\"Add (0,1)=91 Failed, w=162\",\"Add (2,4)=91 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,68],[0,3,79],[0,4,66],[0,5,80],[1,3,43],[1,4,81],[1,5,51],[2,3,5],[2,4,91],[2,5,10],[3,4,39],[3,5,9],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(3,5)=9,(2,5)=10,(3,4)=39,(1,3)=43,(1,5)=51,(4,5)=56,(0,4)=66,(0,2)=68,(0,3)=79,(0,5)=80,(1,4)=81,(0,1)=91,(2,4)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(3)=2, Find(5)=5, Add (3,5)=9 Succeeded, w=14\",\"Find(2)=2, Find(5)=2, Add (2,5)=10 Failed, w=14\",\"Find(3)=2, Find(4)=4, Add (3,4)=39 Succeeded, w=53\",\"Find(1)=1, Find(3)=2, Add (1,3)=43 Succeeded, w=96\",\"Find(1)=2, Find(5)=2, Add (1,5)=51 Failed, w=96\",\"Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=96\",\"Find(0)=0, Find(4)=2, Add (0,4)=66 Succeeded, w=162\",\"Find(0)=2, Find(2)=2, Add (0,2)=68 Failed, w=162\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=162\",\"Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=162\",\"Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=162\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=162\",\"Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,68],[0,3,79],[0,4,66],[0,5,80],[1,3,43],[1,4,81],[1,5,51],[2,3,5],[2,4,91],[2,5,10],[3,4,39],[3,5,9],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(3,5)=9,(2,5)=10,(3,4)=39,(1,3)=43,(1,5)=51,(4,5)=56,(0,4)=66,(0,2)=68,(0,3)=79,(0,5)=80,(1,4)=81,(0,1)=91,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=10 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=4, Add (3,4)=39 Succeeded, w=53\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=43 Succeeded, w=96\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=51 Failed, w=96\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=66 Succeeded, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=68 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,99],[0,2,10],[0,3,6],[1,2,72],[1,3,97],[2,3,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,10],[0,3,6],[1,2,72],[1,3,97],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,10],[0,3,6],[1,2,72],[1,3,97],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,10],[0,3,6],[1,2,72],[1,3,97],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (0,2)=10, w=16\",\"Add (1,2)=72, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,10],[0,3,6],[1,2,72],[1,3,97],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (0,2)=10 Succeeded, w=16\",\"Add (2,3)=44 Failed, w=16\",\"Add (1,2)=72 Succeeded, w=88\",\"Add (1,3)=97 Failed, w=88\",\"Add (0,1)=99 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,10],[0,3,6],[1,2,72],[1,3,97],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(0,2)=10,(2,3)=44,(1,2)=72,(1,3)=97,(0,1)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=16\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=16\",\"Find(1)=1, Find(2)=0, Add (1,2)=72 Succeeded, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=88\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,10],[0,3,6],[1,2,72],[1,3,97],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(0,2)=10,(2,3)=44,(1,2)=72,(1,3)=97,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=72 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,92],[0,3,82],[0,4,94],[1,2,17],[1,3,56],[1,4,48],[2,3,28],[2,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,92],[0,3,82],[0,4,94],[1,2,17],[1,3,56],[1,4,48],[2,3,28],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,92],[0,3,82],[0,4,94],[1,2,17],[1,3,56],[1,4,48],[2,3,28],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,92],[0,3,82],[0,4,94],[1,2,17],[1,3,56],[1,4,48],[2,3,28],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=17, w=17\",\"Add (2,4)=26, w=43\",\"Add (2,3)=28, w=71\",\"Add (0,1)=36, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,92],[0,3,82],[0,4,94],[1,2,17],[1,3,56],[1,4,48],[2,3,28],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=17 Succeeded, w=17\",\"Add (2,4)=26 Succeeded, w=43\",\"Add (2,3)=28 Succeeded, w=71\",\"Add (0,1)=36 Succeeded, w=107\",\"Add (1,4)=48 Failed, w=107\",\"Add (1,3)=56 Failed, w=107\",\"Add (0,3)=82 Failed, w=107\",\"Add (0,2)=92 Failed, w=107\",\"Add (0,4)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,92],[0,3,82],[0,4,94],[1,2,17],[1,3,56],[1,4,48],[2,3,28],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=17,(2,4)=26,(2,3)=28,(0,1)=36,(1,4)=48,(1,3)=56,(0,3)=82,(0,2)=92,(0,4)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=17\",\"Find(2)=1, Find(4)=4, Add (2,4)=26 Succeeded, w=43\",\"Find(2)=1, Find(3)=3, Add (2,3)=28 Succeeded, w=71\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=107\",\"Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=107\",\"Find(1)=1, Find(3)=1, Add (1,3)=56 Failed, w=107\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=107\",\"Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=107\",\"Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,92],[0,3,82],[0,4,94],[1,2,17],[1,3,56],[1,4,48],[2,3,28],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=17,(2,4)=26,(2,3)=28,(0,1)=36,(1,4)=48,(1,3)=56,(0,3)=82,(0,2)=92,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=28 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=56 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,92],[1,3,53],[2,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,92],[1,3,53],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,92],[1,3,53],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,92],[1,3,53],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=53, w=53\",\"Add (2,3)=55, w=108\",\"Add (0,2)=92, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,92],[1,3,53],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=53 Succeeded, w=53\",\"Add (2,3)=55 Succeeded, w=108\",\"Add (0,2)=92 Succeeded, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,92],[1,3,53],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=53,(2,3)=55,(0,2)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=53\",\"Find(2)=2, Find(3)=1, Add (2,3)=55 Succeeded, w=108\",\"Find(0)=0, Find(2)=1, Add (0,2)=92 Succeeded, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,92],[1,3,53],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=53,(2,3)=55,(0,2)=92]\",\"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)=55 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=92 Succeeded, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[0,2,23],[0,3,49],[1,2,70],[1,3,52],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,23],[0,3,49],[1,2,70],[1,3,52],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,23],[0,3,49],[1,2,70],[1,3,52],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,23],[0,3,49],[1,2,70],[1,3,52],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (2,3)=15, w=30\",\"Add (0,2)=23, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,23],[0,3,49],[1,2,70],[1,3,52],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (2,3)=15 Succeeded, w=30\",\"Add (0,2)=23 Succeeded, w=53\",\"Add (0,3)=49 Failed, w=53\",\"Add (1,3)=52 Failed, w=53\",\"Add (1,2)=70 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,23],[0,3,49],[1,2,70],[1,3,52],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(2,3)=15,(0,2)=23,(0,3)=49,(1,3)=52,(1,2)=70]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=53\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=53\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,23],[0,3,49],[1,2,70],[1,3,52],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(2,3)=15,(0,2)=23,(0,3)=49,(1,3)=52,(1,2)=70]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,3,33],[0,4,5],[0,5,97],[0,6,18],[0,7,86],[1,2,32],[1,3,44],[1,5,56],[1,6,68],[1,7,87],[2,3,35],[2,4,70],[2,5,24],[2,7,69],[3,4,57],[3,5,38],[3,6,17],[3,7,72],[4,5,50],[4,6,39],[4,7,72],[5,6,14],[5,7,40],[6,7,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,33],[0,4,5],[0,5,97],[0,6,18],[0,7,86],[1,2,32],[1,3,44],[1,5,56],[1,6,68],[1,7,87],[2,3,35],[2,4,70],[2,5,24],[2,7,69],[3,4,57],[3,5,38],[3,6,17],[3,7,72],[4,5,50],[4,6,39],[4,7,72],[5,6,14],[5,7,40],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,33],[0,4,5],[0,5,97],[0,6,18],[0,7,86],[1,2,32],[1,3,44],[1,5,56],[1,6,68],[1,7,87],[2,3,35],[2,4,70],[2,5,24],[2,7,69],[3,4,57],[3,5,38],[3,6,17],[3,7,72],[4,5,50],[4,6,39],[4,7,72],[5,6,14],[5,7,40],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (5,6)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (5,7)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,33],[0,4,5],[0,5,97],[0,6,18],[0,7,86],[1,2,32],[1,3,44],[1,5,56],[1,6,68],[1,7,87],[2,3,35],[2,4,70],[2,5,24],[2,7,69],[3,4,57],[3,5,38],[3,6,17],[3,7,72],[4,5,50],[4,6,39],[4,7,72],[5,6,14],[5,7,40],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (5,6)=14, w=19\",\"Add (3,6)=17, w=36\",\"Add (0,6)=18, w=54\",\"Add (2,5)=24, w=78\",\"Add (1,2)=32, w=110\",\"Add (5,7)=40, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,33],[0,4,5],[0,5,97],[0,6,18],[0,7,86],[1,2,32],[1,3,44],[1,5,56],[1,6,68],[1,7,87],[2,3,35],[2,4,70],[2,5,24],[2,7,69],[3,4,57],[3,5,38],[3,6,17],[3,7,72],[4,5,50],[4,6,39],[4,7,72],[5,6,14],[5,7,40],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (5,6)=14 Succeeded, w=19\",\"Add (3,6)=17 Succeeded, w=36\",\"Add (0,6)=18 Succeeded, w=54\",\"Add (2,5)=24 Succeeded, w=78\",\"Add (1,2)=32 Succeeded, w=110\",\"Add (0,3)=33 Failed, w=110\",\"Add (2,3)=35 Failed, w=110\",\"Add (3,5)=38 Failed, w=110\",\"Add (4,6)=39 Failed, w=110\",\"Add (5,7)=40 Succeeded, w=150\",\"Add (1,3)=44 Failed, w=150\",\"Add (4,5)=50 Failed, w=150\",\"Add (6,7)=55 Failed, w=150\",\"Add (1,5)=56 Failed, w=150\",\"Add (3,4)=57 Failed, w=150\",\"Add (0,1)=67 Failed, w=150\",\"Add (1,6)=68 Failed, w=150\",\"Add (2,7)=69 Failed, w=150\",\"Add (2,4)=70 Failed, w=150\",\"Add (3,7)=72 Failed, w=150\",\"Add (4,7)=72 Failed, w=150\",\"Add (0,7)=86 Failed, w=150\",\"Add (1,7)=87 Failed, w=150\",\"Add (0,5)=97 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,33],[0,4,5],[0,5,97],[0,6,18],[0,7,86],[1,2,32],[1,3,44],[1,5,56],[1,6,68],[1,7,87],[2,3,35],[2,4,70],[2,5,24],[2,7,69],[3,4,57],[3,5,38],[3,6,17],[3,7,72],[4,5,50],[4,6,39],[4,7,72],[5,6,14],[5,7,40],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(5,6)=14,(3,6)=17,(0,6)=18,(2,5)=24,(1,2)=32,(0,3)=33,(2,3)=35,(3,5)=38,(4,6)=39,(5,7)=40,(1,3)=44,(4,5)=50,(6,7)=55,(1,5)=56,(3,4)=57,(0,1)=67,(1,6)=68,(2,7)=69,(2,4)=70,(3,7)=72,(4,7)=72,(0,7)=86,(1,7)=87,(0,5)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=19\",\"Find(3)=3, Find(6)=5, Add (3,6)=17 Succeeded, w=36\",\"Find(0)=0, Find(6)=5, Add (0,6)=18 Succeeded, w=54\",\"Find(2)=2, Find(5)=0, Add (2,5)=24 Succeeded, w=78\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=110\",\"Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=110\",\"Find(4)=0, Find(6)=0, Add (4,6)=39 Failed, w=110\",\"Find(5)=0, Find(7)=7, Add (5,7)=40 Succeeded, w=150\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=150\",\"Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=150\",\"Find(6)=0, Find(7)=0, Add (6,7)=55 Failed, w=150\",\"Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=150\",\"Find(3)=0, Find(4)=0, Add (3,4)=57 Failed, w=150\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=150\",\"Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=150\",\"Find(2)=0, Find(7)=0, Add (2,7)=69 Failed, w=150\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=150\",\"Find(3)=0, Find(7)=0, Add (3,7)=72 Failed, w=150\",\"Find(4)=0, Find(7)=0, Add (4,7)=72 Failed, w=150\",\"Find(0)=0, Find(7)=0, Add (0,7)=86 Failed, w=150\",\"Find(1)=0, Find(7)=0, Add (1,7)=87 Failed, w=150\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,33],[0,4,5],[0,5,97],[0,6,18],[0,7,86],[1,2,32],[1,3,44],[1,5,56],[1,6,68],[1,7,87],[2,3,35],[2,4,70],[2,5,24],[2,7,69],[3,4,57],[3,5,38],[3,6,17],[3,7,72],[4,5,50],[4,6,39],[4,7,72],[5,6,14],[5,7,40],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(5,6)=14,(3,6)=17,(0,6)=18,(2,5)=24,(1,2)=32,(0,3)=33,(2,3)=35,(3,5)=38,(4,6)=39,(5,7)=40,(1,3)=44,(4,5)=50,(6,7)=55,(1,5)=56,(3,4)=57,(0,1)=67,(1,6)=68,(2,7)=69,(2,4)=70,(3,7)=72,(4,7)=72,(0,7)=86,(1,7)=87,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 0, 5: 5, 6: 5, 7: 7}, Find(3)=3, Find(6)=5, Add (3,6)=17 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 0, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(6)=5, Add (0,6)=18 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5, 7: 7}, Find(2)=2, Find(5)=0, Add (2,5)=24 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 7}, Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(6)=0, Add (4,6)=39 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=40 Succeeded, w=150\",\"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)=44 Failed, w=150\",\"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)=50 Failed, w=150\",\"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)=55 Failed, w=150\",\"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)=56 Failed, w=150\",\"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)=57 Failed, w=150\",\"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)=67 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=150\",\"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)=69 Failed, w=150\",\"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)=70 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=72 Failed, w=150\",\"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)=72 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=86 Failed, w=150\",\"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)=87 Failed, w=150\",\"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)=97 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,48],[0,2,66],[0,3,21],[1,2,40],[1,3,82],[2,3,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,66],[0,3,21],[1,2,40],[1,3,82],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,66],[0,3,21],[1,2,40],[1,3,82],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,66],[0,3,21],[1,2,40],[1,3,82],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (0,3)=21, w=33\",\"Add (1,2)=40, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,66],[0,3,21],[1,2,40],[1,3,82],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (0,3)=21 Succeeded, w=33\",\"Add (1,2)=40 Succeeded, w=73\",\"Add (0,1)=48 Failed, w=73\",\"Add (0,2)=66 Failed, w=73\",\"Add (1,3)=82 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,66],[0,3,21],[1,2,40],[1,3,82],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,3)=21,(1,2)=40,(0,1)=48,(0,2)=66,(1,3)=82]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=33\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=73\",\"Find(0)=2, Find(1)=2, Add (0,1)=48 Failed, w=73\",\"Find(0)=2, Find(2)=2, Add (0,2)=66 Failed, w=73\",\"Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,66],[0,3,21],[1,2,40],[1,3,82],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,3)=21,(1,2)=40,(0,1)=48,(0,2)=66,(1,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=48 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=66 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=82 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,19],[0,2,57],[0,5,10],[1,2,71],[1,3,60],[1,4,50],[1,5,82],[1,6,73],[2,5,80],[2,7,51],[3,4,93],[3,5,2],[4,6,8],[5,6,52],[5,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,57],[0,5,10],[1,2,71],[1,3,60],[1,4,50],[1,5,82],[1,6,73],[2,5,80],[2,7,51],[3,4,93],[3,5,2],[4,6,8],[5,6,52],[5,7,92]]}",
"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\":[[0,1,19],[0,2,57],[0,5,10],[1,2,71],[1,3,60],[1,4,50],[1,5,82],[1,6,73],[2,5,80],[2,7,51],[3,4,93],[3,5,2],[4,6,8],[5,6,52],[5,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (2,7)\",\"Add (0,2)\"],\"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\":[[0,1,19],[0,2,57],[0,5,10],[1,2,71],[1,3,60],[1,4,50],[1,5,82],[1,6,73],[2,5,80],[2,7,51],[3,4,93],[3,5,2],[4,6,8],[5,6,52],[5,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (4,6)=8, w=10\",\"Add (0,5)=10, w=20\",\"Add (0,1)=19, w=39\",\"Add (1,4)=50, w=89\",\"Add (2,7)=51, w=140\",\"Add (0,2)=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\":[[0,1,19],[0,2,57],[0,5,10],[1,2,71],[1,3,60],[1,4,50],[1,5,82],[1,6,73],[2,5,80],[2,7,51],[3,4,93],[3,5,2],[4,6,8],[5,6,52],[5,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (4,6)=8 Succeeded, w=10\",\"Add (0,5)=10 Succeeded, w=20\",\"Add (0,1)=19 Succeeded, w=39\",\"Add (1,4)=50 Succeeded, w=89\",\"Add (2,7)=51 Succeeded, w=140\",\"Add (5,6)=52 Failed, w=140\",\"Add (0,2)=57 Succeeded, w=197\",\"Add (1,3)=60 Failed, w=197\",\"Add (1,2)=71 Failed, w=197\",\"Add (1,6)=73 Failed, w=197\",\"Add (2,5)=80 Failed, w=197\",\"Add (1,5)=82 Failed, w=197\",\"Add (5,7)=92 Failed, w=197\",\"Add (3,4)=93 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\":[[0,1,19],[0,2,57],[0,5,10],[1,2,71],[1,3,60],[1,4,50],[1,5,82],[1,6,73],[2,5,80],[2,7,51],[3,4,93],[3,5,2],[4,6,8],[5,6,52],[5,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(4,6)=8,(0,5)=10,(0,1)=19,(1,4)=50,(2,7)=51,(5,6)=52,(0,2)=57,(1,3)=60,(1,2)=71,(1,6)=73,(2,5)=80,(1,5)=82,(5,7)=92,(3,4)=93]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=10\",\"Find(0)=0, Find(5)=3, Add (0,5)=10 Succeeded, w=20\",\"Find(0)=3, Find(1)=1, Add (0,1)=19 Succeeded, w=39\",\"Find(1)=3, Find(4)=4, Add (1,4)=50 Succeeded, w=89\",\"Find(2)=2, Find(7)=7, Add (2,7)=51 Succeeded, w=140\",\"Find(5)=3, Find(6)=3, Add (5,6)=52 Failed, w=140\",\"Find(0)=3, Find(2)=2, Add (0,2)=57 Succeeded, w=197\",\"Find(1)=3, Find(3)=3, Add (1,3)=60 Failed, w=197\",\"Find(1)=3, Find(2)=3, Add (1,2)=71 Failed, w=197\",\"Find(1)=3, Find(6)=3, Add (1,6)=73 Failed, w=197\",\"Find(2)=3, Find(5)=3, Add (2,5)=80 Failed, w=197\",\"Find(1)=3, Find(5)=3, Add (1,5)=82 Failed, w=197\",\"Find(5)=3, Find(7)=3, Add (5,7)=92 Failed, w=197\",\"Find(3)=3, Find(4)=3, Add (3,4)=93 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\":[[0,1,19],[0,2,57],[0,5,10],[1,2,71],[1,3,60],[1,4,50],[1,5,82],[1,6,73],[2,5,80],[2,7,51],[3,4,93],[3,5,2],[4,6,8],[5,6,52],[5,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(4,6)=8,(0,5)=10,(0,1)=19,(1,4)=50,(2,7)=51,(5,6)=52,(0,2)=57,(1,3)=60,(1,2)=71,(1,6)=73,(2,5)=80,(1,5)=82,(5,7)=92,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=10\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 7}, Find(0)=0, Find(5)=3, Add (0,5)=10 Succeeded, w=20\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 7}, Find(0)=3, Find(1)=1, Add (0,1)=19 Succeeded, w=39\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 4, 7: 7}, Find(1)=3, Find(4)=4, Add (1,4)=50 Succeeded, w=89\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 4, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=51 Succeeded, w=140\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(5)=3, Find(6)=3, Add (5,6)=52 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(0)=3, Find(2)=2, Add (0,2)=57 Succeeded, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(1)=3, Find(3)=3, Add (1,3)=60 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(1)=3, Find(2)=3, Add (1,2)=71 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(1)=3, Find(6)=3, Add (1,6)=73 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(2)=3, Find(5)=3, Add (2,5)=80 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(1)=3, Find(5)=3, Add (1,5)=82 Failed, w=197\",\"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)=92 Failed, w=197\",\"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)=93 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,4],[0,3,15],[1,2,15],[1,3,46],[2,3,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,4],[0,3,15],[1,2,15],[1,3,46],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,4],[0,3,15],[1,2,15],[1,3,46],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,4],[0,3,15],[1,2,15],[1,3,46],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (0,3)=15, w=19\",\"Add (1,2)=15, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,4],[0,3,15],[1,2,15],[1,3,46],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (0,3)=15 Succeeded, w=19\",\"Add (1,2)=15 Succeeded, w=34\",\"Add (1,3)=46 Failed, w=34\",\"Add (2,3)=65 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,4],[0,3,15],[1,2,15],[1,3,46],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(0,3)=15,(1,2)=15,(1,3)=46,(2,3)=65]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=15 Succeeded, w=34\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=34\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,4],[0,3,15],[1,2,15],[1,3,46],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(0,3)=15,(1,2)=15,(1,3)=46,(2,3)=65]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=15 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,65],[0,3,11],[0,5,36],[0,6,75],[0,7,23],[1,2,11],[1,3,29],[1,4,75],[1,5,43],[1,6,66],[1,7,32],[2,3,74],[2,4,95],[2,7,8],[3,5,17],[3,6,21],[3,7,25],[4,5,0],[4,6,43],[4,7,94],[5,6,52],[5,7,77],[6,7,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,65],[0,3,11],[0,5,36],[0,6,75],[0,7,23],[1,2,11],[1,3,29],[1,4,75],[1,5,43],[1,6,66],[1,7,32],[2,3,74],[2,4,95],[2,7,8],[3,5,17],[3,6,21],[3,7,25],[4,5,0],[4,6,43],[4,7,94],[5,6,52],[5,7,77],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,65],[0,3,11],[0,5,36],[0,6,75],[0,7,23],[1,2,11],[1,3,29],[1,4,75],[1,5,43],[1,6,66],[1,7,32],[2,3,74],[2,4,95],[2,7,8],[3,5,17],[3,6,21],[3,7,25],[4,5,0],[4,6,43],[4,7,94],[5,6,52],[5,7,77],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,7)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (3,6)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,65],[0,3,11],[0,5,36],[0,6,75],[0,7,23],[1,2,11],[1,3,29],[1,4,75],[1,5,43],[1,6,66],[1,7,32],[2,3,74],[2,4,95],[2,7,8],[3,5,17],[3,6,21],[3,7,25],[4,5,0],[4,6,43],[4,7,94],[5,6,52],[5,7,77],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (2,7)=8, w=8\",\"Add (0,3)=11, w=19\",\"Add (1,2)=11, w=30\",\"Add (0,1)=17, w=47\",\"Add (3,5)=17, w=64\",\"Add (3,6)=21, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,65],[0,3,11],[0,5,36],[0,6,75],[0,7,23],[1,2,11],[1,3,29],[1,4,75],[1,5,43],[1,6,66],[1,7,32],[2,3,74],[2,4,95],[2,7,8],[3,5,17],[3,6,21],[3,7,25],[4,5,0],[4,6,43],[4,7,94],[5,6,52],[5,7,77],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (2,7)=8 Succeeded, w=8\",\"Add (0,3)=11 Succeeded, w=19\",\"Add (1,2)=11 Succeeded, w=30\",\"Add (0,1)=17 Succeeded, w=47\",\"Add (3,5)=17 Succeeded, w=64\",\"Add (3,6)=21 Succeeded, w=85\",\"Add (0,7)=23 Failed, w=85\",\"Add (3,7)=25 Failed, w=85\",\"Add (1,3)=29 Failed, w=85\",\"Add (1,7)=32 Failed, w=85\",\"Add (0,5)=36 Failed, w=85\",\"Add (1,5)=43 Failed, w=85\",\"Add (4,6)=43 Failed, w=85\",\"Add (5,6)=52 Failed, w=85\",\"Add (0,2)=65 Failed, w=85\",\"Add (1,6)=66 Failed, w=85\",\"Add (2,3)=74 Failed, w=85\",\"Add (0,6)=75 Failed, w=85\",\"Add (1,4)=75 Failed, w=85\",\"Add (5,7)=77 Failed, w=85\",\"Add (6,7)=82 Failed, w=85\",\"Add (4,7)=94 Failed, w=85\",\"Add (2,4)=95 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,65],[0,3,11],[0,5,36],[0,6,75],[0,7,23],[1,2,11],[1,3,29],[1,4,75],[1,5,43],[1,6,66],[1,7,32],[2,3,74],[2,4,95],[2,7,8],[3,5,17],[3,6,21],[3,7,25],[4,5,0],[4,6,43],[4,7,94],[5,6,52],[5,7,77],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(2,7)=8,(0,3)=11,(1,2)=11,(0,1)=17,(3,5)=17,(3,6)=21,(0,7)=23,(3,7)=25,(1,3)=29,(1,7)=32,(0,5)=36,(1,5)=43,(4,6)=43,(5,6)=52,(0,2)=65,(1,6)=66,(2,3)=74,(0,6)=75,(1,4)=75,(5,7)=77,(6,7)=82,(4,7)=94,(2,4)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=19\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=30\",\"Find(0)=0, Find(1)=2, Add (0,1)=17 Succeeded, w=47\",\"Find(3)=0, Find(5)=4, Add (3,5)=17 Succeeded, w=64\",\"Find(3)=0, Find(6)=6, Add (3,6)=21 Succeeded, w=85\",\"Find(0)=0, Find(7)=0, Add (0,7)=23 Failed, w=85\",\"Find(3)=0, Find(7)=0, Add (3,7)=25 Failed, w=85\",\"Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=85\",\"Find(1)=0, Find(7)=0, Add (1,7)=32 Failed, w=85\",\"Find(0)=0, Find(5)=0, Add (0,5)=36 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=85\",\"Find(4)=0, Find(6)=0, Add (4,6)=43 Failed, w=85\",\"Find(5)=0, Find(6)=0, Add (5,6)=52 Failed, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=85\",\"Find(1)=0, Find(6)=0, Add (1,6)=66 Failed, w=85\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=85\",\"Find(0)=0, Find(6)=0, Add (0,6)=75 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=85\",\"Find(5)=0, Find(7)=0, Add (5,7)=77 Failed, w=85\",\"Find(6)=0, Find(7)=0, Add (6,7)=82 Failed, w=85\",\"Find(4)=0, Find(7)=0, Add (4,7)=94 Failed, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,65],[0,3,11],[0,5,36],[0,6,75],[0,7,23],[1,2,11],[1,3,29],[1,4,75],[1,5,43],[1,6,66],[1,7,32],[2,3,74],[2,4,95],[2,7,8],[3,5,17],[3,6,21],[3,7,25],[4,5,0],[4,6,43],[4,7,94],[5,6,52],[5,7,77],[6,7,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(2,7)=8,(0,3)=11,(1,2)=11,(0,1)=17,(3,5)=17,(3,6)=21,(0,7)=23,(3,7)=25,(1,3)=29,(1,7)=32,(0,5)=36,(1,5)=43,(4,6)=43,(5,6)=52,(0,2)=65,(1,6)=66,(2,3)=74,(0,6)=75,(1,4)=75,(5,7)=77,(6,7)=82,(4,7)=94,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6, 7: 2}, Find(0)=0, Find(1)=2, Add (0,1)=17 Succeeded, w=47\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 2}, Find(3)=0, Find(5)=4, Add (3,5)=17 Succeeded, w=64\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 2}, Find(3)=0, Find(6)=6, Add (3,6)=21 Succeeded, w=85\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=23 Failed, w=85\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=25 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=32 Failed, w=85\",\"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)=36 Failed, w=85\",\"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)=43 Failed, w=85\",\"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)=43 Failed, w=85\",\"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)=52 Failed, w=85\",\"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)=65 Failed, w=85\",\"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)=66 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=85\",\"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)=75 Failed, w=85\",\"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)=75 Failed, w=85\",\"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)=77 Failed, w=85\",\"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)=82 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=94 Failed, w=85\",\"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)=95 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,99],[0,3,86],[0,4,51],[1,2,93],[1,3,68],[1,4,95],[2,3,93],[2,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,86],[0,4,51],[1,2,93],[1,3,68],[1,4,95],[2,3,93],[2,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":289}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,86],[0,4,51],[1,2,93],[1,3,68],[1,4,95],[2,3,93],[2,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":289}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,86],[0,4,51],[1,2,93],[1,3,68],[1,4,95],[2,3,93],[2,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=51, w=51\",\"Add (1,3)=68, w=119\",\"Add (2,4)=84, w=203\",\"Add (0,3)=86, w=289\"],\"Answer\":289}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,86],[0,4,51],[1,2,93],[1,3,68],[1,4,95],[2,3,93],[2,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=51 Succeeded, w=51\",\"Add (1,3)=68 Succeeded, w=119\",\"Add (2,4)=84 Succeeded, w=203\",\"Add (0,3)=86 Succeeded, w=289\",\"Add (1,2)=93 Failed, w=289\",\"Add (2,3)=93 Failed, w=289\",\"Add (1,4)=95 Failed, w=289\",\"Add (0,1)=99 Failed, w=289\"],\"Answer\":289}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,86],[0,4,51],[1,2,93],[1,3,68],[1,4,95],[2,3,93],[2,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=51,(1,3)=68,(2,4)=84,(0,3)=86,(1,2)=93,(2,3)=93,(1,4)=95,(0,1)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=51\",\"Find(1)=1, Find(3)=3, Add (1,3)=68 Succeeded, w=119\",\"Find(2)=2, Find(4)=0, Add (2,4)=84 Succeeded, w=203\",\"Find(0)=0, Find(3)=1, Add (0,3)=86 Succeeded, w=289\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=289\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=289\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=289\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=289\"],\"Answer\":289}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,3,86],[0,4,51],[1,2,93],[1,3,68],[1,4,95],[2,3,93],[2,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=51,(1,3)=68,(2,4)=84,(0,3)=86,(1,2)=93,(2,3)=93,(1,4)=95,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=68 Succeeded, w=119\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=84 Succeeded, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=86 Succeeded, w=289\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=289\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=289\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=289\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=289\"],\"Answer\":289}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,68],[0,3,59],[0,4,83],[0,5,71],[0,7,54],[1,2,9],[1,3,86],[1,4,56],[1,7,55],[2,3,40],[2,4,8],[2,5,69],[2,6,36],[2,7,76],[3,4,75],[3,7,85],[4,5,13],[4,6,90],[5,7,66],[6,7,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,3,59],[0,4,83],[0,5,71],[0,7,54],[1,2,9],[1,3,86],[1,4,56],[1,7,55],[2,3,40],[2,4,8],[2,5,69],[2,6,36],[2,7,76],[3,4,75],[3,7,85],[4,5,13],[4,6,90],[5,7,66],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,3,59],[0,4,83],[0,5,71],[0,7,54],[1,2,9],[1,3,86],[1,4,56],[1,7,55],[2,3,40],[2,4,8],[2,5,69],[2,6,36],[2,7,76],[3,4,75],[3,7,85],[4,5,13],[4,6,90],[5,7,66],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (0,7)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,3,59],[0,4,83],[0,5,71],[0,7,54],[1,2,9],[1,3,86],[1,4,56],[1,7,55],[2,3,40],[2,4,8],[2,5,69],[2,6,36],[2,7,76],[3,4,75],[3,7,85],[4,5,13],[4,6,90],[5,7,66],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3, w=3\",\"Add (2,4)=8, w=11\",\"Add (1,2)=9, w=20\",\"Add (4,5)=13, w=33\",\"Add (2,6)=36, w=69\",\"Add (2,3)=40, w=109\",\"Add (0,7)=54, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,3,59],[0,4,83],[0,5,71],[0,7,54],[1,2,9],[1,3,86],[1,4,56],[1,7,55],[2,3,40],[2,4,8],[2,5,69],[2,6,36],[2,7,76],[3,4,75],[3,7,85],[4,5,13],[4,6,90],[5,7,66],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3 Succeeded, w=3\",\"Add (2,4)=8 Succeeded, w=11\",\"Add (1,2)=9 Succeeded, w=20\",\"Add (4,5)=13 Succeeded, w=33\",\"Add (2,6)=36 Succeeded, w=69\",\"Add (2,3)=40 Succeeded, w=109\",\"Add (0,7)=54 Succeeded, w=163\",\"Add (1,7)=55 Failed, w=163\",\"Add (1,4)=56 Failed, w=163\",\"Add (0,3)=59 Failed, w=163\",\"Add (5,7)=66 Failed, w=163\",\"Add (0,2)=68 Failed, w=163\",\"Add (2,5)=69 Failed, w=163\",\"Add (0,5)=71 Failed, w=163\",\"Add (3,4)=75 Failed, w=163\",\"Add (2,7)=76 Failed, w=163\",\"Add (0,4)=83 Failed, w=163\",\"Add (3,7)=85 Failed, w=163\",\"Add (1,3)=86 Failed, w=163\",\"Add (4,6)=90 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,3,59],[0,4,83],[0,5,71],[0,7,54],[1,2,9],[1,3,86],[1,4,56],[1,7,55],[2,3,40],[2,4,8],[2,5,69],[2,6,36],[2,7,76],[3,4,75],[3,7,85],[4,5,13],[4,6,90],[5,7,66],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(2,4)=8,(1,2)=9,(4,5)=13,(2,6)=36,(2,3)=40,(0,7)=54,(1,7)=55,(1,4)=56,(0,3)=59,(5,7)=66,(0,2)=68,(2,5)=69,(0,5)=71,(3,4)=75,(2,7)=76,(0,4)=83,(3,7)=85,(1,3)=86,(4,6)=90]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=20\",\"Find(4)=2, Find(5)=5, Add (4,5)=13 Succeeded, w=33\",\"Find(2)=2, Find(6)=6, Add (2,6)=36 Succeeded, w=69\",\"Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=109\",\"Find(0)=0, Find(7)=2, Add (0,7)=54 Succeeded, w=163\",\"Find(1)=2, Find(7)=2, Add (1,7)=55 Failed, w=163\",\"Find(1)=2, Find(4)=2, Add (1,4)=56 Failed, w=163\",\"Find(0)=2, Find(3)=2, Add (0,3)=59 Failed, w=163\",\"Find(5)=2, Find(7)=2, Add (5,7)=66 Failed, w=163\",\"Find(0)=2, Find(2)=2, Add (0,2)=68 Failed, w=163\",\"Find(2)=2, Find(5)=2, Add (2,5)=69 Failed, w=163\",\"Find(0)=2, Find(5)=2, Add (0,5)=71 Failed, w=163\",\"Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=163\",\"Find(2)=2, Find(7)=2, Add (2,7)=76 Failed, w=163\",\"Find(0)=2, Find(4)=2, Add (0,4)=83 Failed, w=163\",\"Find(3)=2, Find(7)=2, Add (3,7)=85 Failed, w=163\",\"Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=163\",\"Find(4)=2, Find(6)=2, Add (4,6)=90 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,3,59],[0,4,83],[0,5,71],[0,7,54],[1,2,9],[1,3,86],[1,4,56],[1,7,55],[2,3,40],[2,4,8],[2,5,69],[2,6,36],[2,7,76],[3,4,75],[3,7,85],[4,5,13],[4,6,90],[5,7,66],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(2,4)=8,(1,2)=9,(4,5)=13,(2,6)=36,(2,3)=40,(0,7)=54,(1,7)=55,(1,4)=56,(0,3)=59,(5,7)=66,(0,2)=68,(2,5)=69,(0,5)=71,(3,4)=75,(2,7)=76,(0,4)=83,(3,7)=85,(1,3)=86,(4,6)=90]\",\"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: 2, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 6}, Find(4)=2, Find(5)=5, Add (4,5)=13 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=36 Succeeded, w=69\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 6}, Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=54 Succeeded, w=163\",\"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)=55 Failed, w=163\",\"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)=56 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=59 Failed, w=163\",\"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)=66 Failed, w=163\",\"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)=68 Failed, w=163\",\"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)=69 Failed, w=163\",\"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)=71 Failed, w=163\",\"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)=75 Failed, w=163\",\"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)=76 Failed, w=163\",\"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=163\",\"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=163\",\"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)=86 Failed, w=163\",\"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)=90 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,2,100],[1,2,97],[1,3,80],[1,4,43],[2,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,100],[1,2,97],[1,3,80],[1,4,43],[2,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,100],[1,2,97],[1,3,80],[1,4,43],[2,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,100],[1,2,97],[1,3,80],[1,4,43],[2,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (1,4)=43, w=54\",\"Add (0,1)=76, w=130\",\"Add (1,3)=80, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,100],[1,2,97],[1,3,80],[1,4,43],[2,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (1,4)=43 Succeeded, w=54\",\"Add (0,1)=76 Succeeded, w=130\",\"Add (1,3)=80 Succeeded, w=210\",\"Add (1,2)=97 Failed, w=210\",\"Add (0,2)=100 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,100],[1,2,97],[1,3,80],[1,4,43],[2,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(1,4)=43,(0,1)=76,(1,3)=80,(1,2)=97,(0,2)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(4)=2, Add (1,4)=43 Succeeded, w=54\",\"Find(0)=0, Find(1)=2, Add (0,1)=76 Succeeded, w=130\",\"Find(1)=2, Find(3)=3, Add (1,3)=80 Succeeded, w=210\",\"Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=210\",\"Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,100],[1,2,97],[1,3,80],[1,4,43],[2,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(1,4)=43,(0,1)=76,(1,3)=80,(1,2)=97,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=43 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=76 Succeeded, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=80 Succeeded, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,100],[0,4,54],[0,5,43],[0,6,89],[1,2,32],[1,3,28],[1,4,77],[1,5,96],[2,3,72],[2,4,15],[2,5,47],[2,6,41],[3,4,97],[3,5,18],[3,6,88],[4,5,69],[4,6,42],[5,6,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,100],[0,4,54],[0,5,43],[0,6,89],[1,2,32],[1,3,28],[1,4,77],[1,5,96],[2,3,72],[2,4,15],[2,5,47],[2,6,41],[3,4,97],[3,5,18],[3,6,88],[4,5,69],[4,6,42],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,100],[0,4,54],[0,5,43],[0,6,89],[1,2,32],[1,3,28],[1,4,77],[1,5,96],[2,3,72],[2,4,15],[2,5,47],[2,6,41],[3,4,97],[3,5,18],[3,6,88],[4,5,69],[4,6,42],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (0,5)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,100],[0,4,54],[0,5,43],[0,6,89],[1,2,32],[1,3,28],[1,4,77],[1,5,96],[2,3,72],[2,4,15],[2,5,47],[2,6,41],[3,4,97],[3,5,18],[3,6,88],[4,5,69],[4,6,42],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15, w=15\",\"Add (3,5)=18, w=33\",\"Add (1,3)=28, w=61\",\"Add (1,2)=32, w=93\",\"Add (2,6)=41, w=134\",\"Add (0,5)=43, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,100],[0,4,54],[0,5,43],[0,6,89],[1,2,32],[1,3,28],[1,4,77],[1,5,96],[2,3,72],[2,4,15],[2,5,47],[2,6,41],[3,4,97],[3,5,18],[3,6,88],[4,5,69],[4,6,42],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15 Succeeded, w=15\",\"Add (3,5)=18 Succeeded, w=33\",\"Add (1,3)=28 Succeeded, w=61\",\"Add (1,2)=32 Succeeded, w=93\",\"Add (2,6)=41 Succeeded, w=134\",\"Add (4,6)=42 Failed, w=134\",\"Add (0,5)=43 Succeeded, w=177\",\"Add (2,5)=47 Failed, w=177\",\"Add (0,4)=54 Failed, w=177\",\"Add (4,5)=69 Failed, w=177\",\"Add (2,3)=72 Failed, w=177\",\"Add (1,4)=77 Failed, w=177\",\"Add (5,6)=78 Failed, w=177\",\"Add (3,6)=88 Failed, w=177\",\"Add (0,6)=89 Failed, w=177\",\"Add (0,1)=94 Failed, w=177\",\"Add (1,5)=96 Failed, w=177\",\"Add (3,4)=97 Failed, w=177\",\"Add (0,2)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,100],[0,4,54],[0,5,43],[0,6,89],[1,2,32],[1,3,28],[1,4,77],[1,5,96],[2,3,72],[2,4,15],[2,5,47],[2,6,41],[3,4,97],[3,5,18],[3,6,88],[4,5,69],[4,6,42],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(3,5)=18,(1,3)=28,(1,2)=32,(2,6)=41,(4,6)=42,(0,5)=43,(2,5)=47,(0,4)=54,(4,5)=69,(2,3)=72,(1,4)=77,(5,6)=78,(3,6)=88,(0,6)=89,(0,1)=94,(1,5)=96,(3,4)=97,(0,2)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=33\",\"Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=61\",\"Find(1)=3, Find(2)=2, Add (1,2)=32 Succeeded, w=93\",\"Find(2)=3, Find(6)=6, Add (2,6)=41 Succeeded, w=134\",\"Find(4)=3, Find(6)=3, Add (4,6)=42 Failed, w=134\",\"Find(0)=0, Find(5)=3, Add (0,5)=43 Succeeded, w=177\",\"Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=177\",\"Find(0)=3, Find(4)=3, Add (0,4)=54 Failed, w=177\",\"Find(4)=3, Find(5)=3, Add (4,5)=69 Failed, w=177\",\"Find(2)=3, Find(3)=3, Add (2,3)=72 Failed, w=177\",\"Find(1)=3, Find(4)=3, Add (1,4)=77 Failed, w=177\",\"Find(5)=3, Find(6)=3, Add (5,6)=78 Failed, w=177\",\"Find(3)=3, Find(6)=3, Add (3,6)=88 Failed, w=177\",\"Find(0)=3, Find(6)=3, Add (0,6)=89 Failed, w=177\",\"Find(0)=3, Find(1)=3, Add (0,1)=94 Failed, w=177\",\"Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=177\",\"Find(3)=3, Find(4)=3, Add (3,4)=97 Failed, w=177\",\"Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,100],[0,4,54],[0,5,43],[0,6,89],[1,2,32],[1,3,28],[1,4,77],[1,5,96],[2,3,72],[2,4,15],[2,5,47],[2,6,41],[3,4,97],[3,5,18],[3,6,88],[4,5,69],[4,6,42],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(3,5)=18,(1,3)=28,(1,2)=32,(2,6)=41,(4,6)=42,(0,5)=43,(2,5)=47,(0,4)=54,(4,5)=69,(2,3)=72,(1,4)=77,(5,6)=78,(3,6)=88,(0,6)=89,(0,1)=94,(1,5)=96,(3,4)=97,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=61\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 6}, Find(1)=3, Find(2)=2, Add (1,2)=32 Succeeded, w=93\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(2)=3, Find(6)=6, Add (2,6)=41 Succeeded, w=134\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=42 Failed, w=134\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=43 Succeeded, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=54 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=69 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=72 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=77 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=78 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=88 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=89 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=94 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=97 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[0,3,63],[1,2,97],[2,3,15],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,63],[1,2,97],[2,3,15],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,63],[1,2,97],[2,3,15],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,63],[1,2,97],[2,3,15],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (0,1)=31, w=46\",\"Add (0,3)=63, w=109\",\"Add (3,4)=97, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,63],[1,2,97],[2,3,15],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (0,1)=31 Succeeded, w=46\",\"Add (0,3)=63 Succeeded, w=109\",\"Add (1,2)=97 Failed, w=109\",\"Add (3,4)=97 Succeeded, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,63],[1,2,97],[2,3,15],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,1)=31,(0,3)=63,(1,2)=97,(3,4)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=46\",\"Find(0)=0, Find(3)=2, Add (0,3)=63 Succeeded, w=109\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=109\",\"Find(3)=0, Find(4)=4, Add (3,4)=97 Succeeded, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,3,63],[1,2,97],[2,3,15],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,1)=31,(0,3)=63,(1,2)=97,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=63 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=97 Succeeded, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,3,58],[0,4,29],[0,5,72],[1,3,67],[2,5,63],[3,5,22],[4,5,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,3,58],[0,4,29],[0,5,72],[1,3,67],[2,5,63],[3,5,22],[4,5,55]]}",
"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],\"edges\":[[0,1,16],[0,3,58],[0,4,29],[0,5,72],[1,3,67],[2,5,63],[3,5,22],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (2,5)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,3,58],[0,4,29],[0,5,72],[1,3,67],[2,5,63],[3,5,22],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (3,5)=22, w=38\",\"Add (0,4)=29, w=67\",\"Add (4,5)=55, w=122\",\"Add (2,5)=63, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,3,58],[0,4,29],[0,5,72],[1,3,67],[2,5,63],[3,5,22],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (3,5)=22 Succeeded, w=38\",\"Add (0,4)=29 Succeeded, w=67\",\"Add (4,5)=55 Succeeded, w=122\",\"Add (0,3)=58 Failed, w=122\",\"Add (2,5)=63 Succeeded, w=185\",\"Add (1,3)=67 Failed, w=185\",\"Add (0,5)=72 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],\"edges\":[[0,1,16],[0,3,58],[0,4,29],[0,5,72],[1,3,67],[2,5,63],[3,5,22],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(3,5)=22,(0,4)=29,(4,5)=55,(0,3)=58,(2,5)=63,(1,3)=67,(0,5)=72]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=38\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=67\",\"Find(4)=0, Find(5)=3, Add (4,5)=55 Succeeded, w=122\",\"Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=122\",\"Find(2)=2, Find(5)=0, Add (2,5)=63 Succeeded, w=185\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=185\",\"Find(0)=0, Find(5)=0, Add (0,5)=72 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],\"edges\":[[0,1,16],[0,3,58],[0,4,29],[0,5,72],[1,3,67],[2,5,63],[3,5,22],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(3,5)=22,(0,4)=29,(4,5)=55,(0,3)=58,(2,5)=63,(1,3)=67,(0,5)=72]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3}, Find(4)=0, Find(5)=3, Add (4,5)=55 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=63 Succeeded, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,2,64],[0,3,21],[0,4,22],[0,5,98],[1,3,68],[1,5,23],[1,7,7],[2,3,59],[2,4,16],[2,6,89],[3,4,75],[3,7,6],[4,6,58],[5,6,1],[5,7,37],[6,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,64],[0,3,21],[0,4,22],[0,5,98],[1,3,68],[1,5,23],[1,7,7],[2,3,59],[2,4,16],[2,6,89],[3,4,75],[3,7,6],[4,6,58],[5,6,1],[5,7,37],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,64],[0,3,21],[0,4,22],[0,5,98],[1,3,68],[1,5,23],[1,7,7],[2,3,59],[2,4,16],[2,6,89],[3,4,75],[3,7,6],[4,6,58],[5,6,1],[5,7,37],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (3,7)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,64],[0,3,21],[0,4,22],[0,5,98],[1,3,68],[1,5,23],[1,7,7],[2,3,59],[2,4,16],[2,6,89],[3,4,75],[3,7,6],[4,6,58],[5,6,1],[5,7,37],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (3,7)=6, w=7\",\"Add (1,7)=7, w=14\",\"Add (2,4)=16, w=30\",\"Add (0,3)=21, w=51\",\"Add (0,4)=22, w=73\",\"Add (1,5)=23, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,64],[0,3,21],[0,4,22],[0,5,98],[1,3,68],[1,5,23],[1,7,7],[2,3,59],[2,4,16],[2,6,89],[3,4,75],[3,7,6],[4,6,58],[5,6,1],[5,7,37],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (3,7)=6 Succeeded, w=7\",\"Add (1,7)=7 Succeeded, w=14\",\"Add (2,4)=16 Succeeded, w=30\",\"Add (0,3)=21 Succeeded, w=51\",\"Add (0,4)=22 Succeeded, w=73\",\"Add (1,5)=23 Succeeded, w=96\",\"Add (5,7)=37 Failed, w=96\",\"Add (4,6)=58 Failed, w=96\",\"Add (2,3)=59 Failed, w=96\",\"Add (0,2)=64 Failed, w=96\",\"Add (1,3)=68 Failed, w=96\",\"Add (3,4)=75 Failed, w=96\",\"Add (6,7)=88 Failed, w=96\",\"Add (2,6)=89 Failed, w=96\",\"Add (0,1)=91 Failed, w=96\",\"Add (0,5)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,64],[0,3,21],[0,4,22],[0,5,98],[1,3,68],[1,5,23],[1,7,7],[2,3,59],[2,4,16],[2,6,89],[3,4,75],[3,7,6],[4,6,58],[5,6,1],[5,7,37],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(3,7)=6,(1,7)=7,(2,4)=16,(0,3)=21,(0,4)=22,(1,5)=23,(5,7)=37,(4,6)=58,(2,3)=59,(0,2)=64,(1,3)=68,(3,4)=75,(6,7)=88,(2,6)=89,(0,1)=91,(0,5)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=7\",\"Find(1)=1, Find(7)=3, Add (1,7)=7 Succeeded, w=14\",\"Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=51\",\"Find(0)=3, Find(4)=2, Add (0,4)=22 Succeeded, w=73\",\"Find(1)=3, Find(5)=5, Add (1,5)=23 Succeeded, w=96\",\"Find(5)=3, Find(7)=3, Add (5,7)=37 Failed, w=96\",\"Find(4)=3, Find(6)=3, Add (4,6)=58 Failed, w=96\",\"Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=96\",\"Find(0)=3, Find(2)=3, Add (0,2)=64 Failed, w=96\",\"Find(1)=3, Find(3)=3, Add (1,3)=68 Failed, w=96\",\"Find(3)=3, Find(4)=3, Add (3,4)=75 Failed, w=96\",\"Find(6)=3, Find(7)=3, Add (6,7)=88 Failed, w=96\",\"Find(2)=3, Find(6)=3, Add (2,6)=89 Failed, w=96\",\"Find(0)=3, Find(1)=3, Add (0,1)=91 Failed, w=96\",\"Find(0)=3, Find(5)=3, Add (0,5)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,64],[0,3,21],[0,4,22],[0,5,98],[1,3,68],[1,5,23],[1,7,7],[2,3,59],[2,4,16],[2,6,89],[3,4,75],[3,7,6],[4,6,58],[5,6,1],[5,7,37],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(3,7)=6,(1,7)=7,(2,4)=16,(0,3)=21,(0,4)=22,(1,5)=23,(5,7)=37,(4,6)=58,(2,3)=59,(0,2)=64,(1,3)=68,(3,4)=75,(6,7)=88,(2,6)=89,(0,1)=91,(0,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 3}, Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=30\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=51\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 5, 6: 5, 7: 3}, Find(0)=3, Find(4)=2, Add (0,4)=22 Succeeded, w=73\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 5, 7: 3}, Find(1)=3, Find(5)=5, Add (1,5)=23 Succeeded, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 5, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=37 Failed, w=96\",\"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)=58 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=96\",\"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)=64 Failed, w=96\",\"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)=68 Failed, w=96\",\"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)=75 Failed, w=96\",\"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)=88 Failed, w=96\",\"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)=89 Failed, w=96\",\"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)=91 Failed, w=96\",\"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)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,83],[1,4,25],[2,3,65],[2,4,23],[3,4,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,83],[1,4,25],[2,3,65],[2,4,23],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,83],[1,4,25],[2,3,65],[2,4,23],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,83],[1,4,25],[2,3,65],[2,4,23],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (2,4)=23, w=25\",\"Add (1,4)=25, w=50\",\"Add (0,2)=83, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,83],[1,4,25],[2,3,65],[2,4,23],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (2,4)=23 Succeeded, w=25\",\"Add (1,4)=25 Succeeded, w=50\",\"Add (2,3)=65 Failed, w=50\",\"Add (0,2)=83 Succeeded, w=133\",\"Add (0,1)=89 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,83],[1,4,25],[2,3,65],[2,4,23],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(2,4)=23,(1,4)=25,(2,3)=65,(0,2)=83,(0,1)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=3, Add (2,4)=23 Succeeded, w=25\",\"Find(1)=1, Find(4)=3, Add (1,4)=25 Succeeded, w=50\",\"Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=50\",\"Find(0)=0, Find(2)=3, Add (0,2)=83 Succeeded, w=133\",\"Find(0)=3, Find(1)=3, Add (0,1)=89 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,83],[1,4,25],[2,3,65],[2,4,23],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(2,4)=23,(1,4)=25,(2,3)=65,(0,2)=83,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=23 Succeeded, w=25\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=50\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(2)=3, Add (0,2)=83 Succeeded, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=89 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,34],[0,3,89],[0,4,13],[0,5,41],[0,6,26],[1,2,64],[1,3,15],[1,4,38],[1,5,81],[1,6,20],[2,3,90],[2,4,44],[2,5,37],[3,4,22],[3,5,91],[3,6,97],[4,5,96],[4,6,75],[5,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,34],[0,3,89],[0,4,13],[0,5,41],[0,6,26],[1,2,64],[1,3,15],[1,4,38],[1,5,81],[1,6,20],[2,3,90],[2,4,44],[2,5,37],[3,4,22],[3,5,91],[3,6,97],[4,5,96],[4,6,75],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,34],[0,3,89],[0,4,13],[0,5,41],[0,6,26],[1,2,64],[1,3,15],[1,4,38],[1,5,81],[1,6,20],[2,3,90],[2,4,44],[2,5,37],[3,4,22],[3,5,91],[3,6,97],[4,5,96],[4,6,75],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (2,5)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,34],[0,3,89],[0,4,13],[0,5,41],[0,6,26],[1,2,64],[1,3,15],[1,4,38],[1,5,81],[1,6,20],[2,3,90],[2,4,44],[2,5,37],[3,4,22],[3,5,91],[3,6,97],[4,5,96],[4,6,75],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=13, w=13\",\"Add (1,3)=15, w=28\",\"Add (1,6)=20, w=48\",\"Add (0,1)=22, w=70\",\"Add (0,2)=34, w=104\",\"Add (2,5)=37, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,34],[0,3,89],[0,4,13],[0,5,41],[0,6,26],[1,2,64],[1,3,15],[1,4,38],[1,5,81],[1,6,20],[2,3,90],[2,4,44],[2,5,37],[3,4,22],[3,5,91],[3,6,97],[4,5,96],[4,6,75],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=13 Succeeded, w=13\",\"Add (1,3)=15 Succeeded, w=28\",\"Add (1,6)=20 Succeeded, w=48\",\"Add (0,1)=22 Succeeded, w=70\",\"Add (3,4)=22 Failed, w=70\",\"Add (0,6)=26 Failed, w=70\",\"Add (0,2)=34 Succeeded, w=104\",\"Add (2,5)=37 Succeeded, w=141\",\"Add (1,4)=38 Failed, w=141\",\"Add (0,5)=41 Failed, w=141\",\"Add (2,4)=44 Failed, w=141\",\"Add (5,6)=62 Failed, w=141\",\"Add (1,2)=64 Failed, w=141\",\"Add (4,6)=75 Failed, w=141\",\"Add (1,5)=81 Failed, w=141\",\"Add (0,3)=89 Failed, w=141\",\"Add (2,3)=90 Failed, w=141\",\"Add (3,5)=91 Failed, w=141\",\"Add (4,5)=96 Failed, w=141\",\"Add (3,6)=97 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,34],[0,3,89],[0,4,13],[0,5,41],[0,6,26],[1,2,64],[1,3,15],[1,4,38],[1,5,81],[1,6,20],[2,3,90],[2,4,44],[2,5,37],[3,4,22],[3,5,91],[3,6,97],[4,5,96],[4,6,75],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=13,(1,3)=15,(1,6)=20,(0,1)=22,(3,4)=22,(0,6)=26,(0,2)=34,(2,5)=37,(1,4)=38,(0,5)=41,(2,4)=44,(5,6)=62,(1,2)=64,(4,6)=75,(1,5)=81,(0,3)=89,(2,3)=90,(3,5)=91,(4,5)=96,(3,6)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=28\",\"Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=48\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=22 Failed, w=70\",\"Find(0)=0, Find(6)=0, Add (0,6)=26 Failed, w=70\",\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=104\",\"Find(2)=0, Find(5)=5, Add (2,5)=37 Succeeded, w=141\",\"Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=141\",\"Find(0)=0, Find(5)=0, Add (0,5)=41 Failed, w=141\",\"Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=141\",\"Find(5)=0, Find(6)=0, Add (5,6)=62 Failed, w=141\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=141\",\"Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=141\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=141\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=141\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=141\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=141\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=141\",\"Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,34],[0,3,89],[0,4,13],[0,5,41],[0,6,26],[1,2,64],[1,3,15],[1,4,38],[1,5,81],[1,6,20],[2,3,90],[2,4,44],[2,5,37],[3,4,22],[3,5,91],[3,6,97],[4,5,96],[4,6,75],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=13,(1,3)=15,(1,6)=20,(0,1)=22,(3,4)=22,(0,6)=26,(0,2)=34,(2,5)=37,(1,4)=38,(0,5)=41,(2,4)=44,(5,6)=62,(1,2)=64,(4,6)=75,(1,5)=81,(0,3)=89,(2,3)=90,(3,5)=91,(4,5)=96,(3,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 5, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 1}, Find(3)=0, Find(4)=0, Add (3,4)=22 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=26 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=37 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=41 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=62 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,18],[0,2,81],[0,3,0],[1,2,32],[1,3,76],[2,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,81],[0,3,0],[1,2,32],[1,3,76],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,81],[0,3,0],[1,2,32],[1,3,76],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,81],[0,3,0],[1,2,32],[1,3,76],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (0,1)=18, w=18\",\"Add (2,3)=18, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,81],[0,3,0],[1,2,32],[1,3,76],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (0,1)=18 Succeeded, w=18\",\"Add (2,3)=18 Succeeded, w=36\",\"Add (1,2)=32 Failed, w=36\",\"Add (1,3)=76 Failed, w=36\",\"Add (0,2)=81 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,81],[0,3,0],[1,2,32],[1,3,76],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,1)=18,(2,3)=18,(1,2)=32,(1,3)=76,(0,2)=81]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=36\",\"Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=36\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=36\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,81],[0,3,0],[1,2,32],[1,3,76],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,1)=18,(2,3)=18,(1,2)=32,(1,3)=76,(0,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,57],[0,2,83],[0,3,5],[0,5,84],[1,2,21],[1,3,27],[1,4,81],[1,5,91],[1,6,74],[1,7,33],[2,3,93],[2,4,68],[2,5,28],[2,6,72],[2,7,18],[3,5,34],[3,6,2],[3,7,42],[4,5,6],[4,6,33],[4,7,90],[5,6,74],[5,7,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,83],[0,3,5],[0,5,84],[1,2,21],[1,3,27],[1,4,81],[1,5,91],[1,6,74],[1,7,33],[2,3,93],[2,4,68],[2,5,28],[2,6,72],[2,7,18],[3,5,34],[3,6,2],[3,7,42],[4,5,6],[4,6,33],[4,7,90],[5,6,74],[5,7,31]]}",
"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\":[[0,1,57],[0,2,83],[0,3,5],[0,5,84],[1,2,21],[1,3,27],[1,4,81],[1,5,91],[1,6,74],[1,7,33],[2,3,93],[2,4,68],[2,5,28],[2,6,72],[2,7,18],[3,5,34],[3,6,2],[3,7,42],[4,5,6],[4,6,33],[4,7,90],[5,6,74],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (2,7)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (2,5)\"],\"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\":[[0,1,57],[0,2,83],[0,3,5],[0,5,84],[1,2,21],[1,3,27],[1,4,81],[1,5,91],[1,6,74],[1,7,33],[2,3,93],[2,4,68],[2,5,28],[2,6,72],[2,7,18],[3,5,34],[3,6,2],[3,7,42],[4,5,6],[4,6,33],[4,7,90],[5,6,74],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (0,3)=5, w=7\",\"Add (4,5)=6, w=13\",\"Add (2,7)=18, w=31\",\"Add (1,2)=21, w=52\",\"Add (1,3)=27, w=79\",\"Add (2,5)=28, 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\":[[0,1,57],[0,2,83],[0,3,5],[0,5,84],[1,2,21],[1,3,27],[1,4,81],[1,5,91],[1,6,74],[1,7,33],[2,3,93],[2,4,68],[2,5,28],[2,6,72],[2,7,18],[3,5,34],[3,6,2],[3,7,42],[4,5,6],[4,6,33],[4,7,90],[5,6,74],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (0,3)=5 Succeeded, w=7\",\"Add (4,5)=6 Succeeded, w=13\",\"Add (2,7)=18 Succeeded, w=31\",\"Add (1,2)=21 Succeeded, w=52\",\"Add (1,3)=27 Succeeded, w=79\",\"Add (2,5)=28 Succeeded, w=107\",\"Add (5,7)=31 Failed, w=107\",\"Add (1,7)=33 Failed, w=107\",\"Add (4,6)=33 Failed, w=107\",\"Add (3,5)=34 Failed, w=107\",\"Add (3,7)=42 Failed, w=107\",\"Add (0,1)=57 Failed, w=107\",\"Add (2,4)=68 Failed, w=107\",\"Add (2,6)=72 Failed, w=107\",\"Add (1,6)=74 Failed, w=107\",\"Add (5,6)=74 Failed, w=107\",\"Add (1,4)=81 Failed, w=107\",\"Add (0,2)=83 Failed, w=107\",\"Add (0,5)=84 Failed, w=107\",\"Add (4,7)=90 Failed, w=107\",\"Add (1,5)=91 Failed, w=107\",\"Add (2,3)=93 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\":[[0,1,57],[0,2,83],[0,3,5],[0,5,84],[1,2,21],[1,3,27],[1,4,81],[1,5,91],[1,6,74],[1,7,33],[2,3,93],[2,4,68],[2,5,28],[2,6,72],[2,7,18],[3,5,34],[3,6,2],[3,7,42],[4,5,6],[4,6,33],[4,7,90],[5,6,74],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(0,3)=5,(4,5)=6,(2,7)=18,(1,2)=21,(1,3)=27,(2,5)=28,(5,7)=31,(1,7)=33,(4,6)=33,(3,5)=34,(3,7)=42,(0,1)=57,(2,4)=68,(2,6)=72,(1,6)=74,(5,6)=74,(1,4)=81,(0,2)=83,(0,5)=84,(4,7)=90,(1,5)=91,(2,3)=93]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=7\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=13\",\"Find(2)=2, Find(7)=7, Add (2,7)=18 Succeeded, w=31\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=52\",\"Find(1)=2, Find(3)=3, Add (1,3)=27 Succeeded, w=79\",\"Find(2)=2, Find(5)=4, Add (2,5)=28 Succeeded, w=107\",\"Find(5)=2, Find(7)=2, Add (5,7)=31 Failed, w=107\",\"Find(1)=2, Find(7)=2, Add (1,7)=33 Failed, w=107\",\"Find(4)=2, Find(6)=2, Add (4,6)=33 Failed, w=107\",\"Find(3)=2, Find(5)=2, Add (3,5)=34 Failed, w=107\",\"Find(3)=2, Find(7)=2, Add (3,7)=42 Failed, w=107\",\"Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=107\",\"Find(2)=2, Find(4)=2, Add (2,4)=68 Failed, w=107\",\"Find(2)=2, Find(6)=2, Add (2,6)=72 Failed, w=107\",\"Find(1)=2, Find(6)=2, Add (1,6)=74 Failed, w=107\",\"Find(5)=2, Find(6)=2, Add (5,6)=74 Failed, w=107\",\"Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=107\",\"Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=107\",\"Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=107\",\"Find(4)=2, Find(7)=2, Add (4,7)=90 Failed, w=107\",\"Find(1)=2, Find(5)=2, Add (1,5)=91 Failed, w=107\",\"Find(2)=2, Find(3)=2, Add (2,3)=93 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\":[[0,1,57],[0,2,83],[0,3,5],[0,5,84],[1,2,21],[1,3,27],[1,4,81],[1,5,91],[1,6,74],[1,7,33],[2,3,93],[2,4,68],[2,5,28],[2,6,72],[2,7,18],[3,5,34],[3,6,2],[3,7,42],[4,5,6],[4,6,33],[4,7,90],[5,6,74],[5,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(0,3)=5,(4,5)=6,(2,7)=18,(1,2)=21,(1,3)=27,(2,5)=28,(5,7)=31,(1,7)=33,(4,6)=33,(3,5)=34,(3,7)=42,(0,1)=57,(2,4)=68,(2,6)=72,(1,6)=74,(5,6)=74,(1,4)=81,(0,2)=83,(0,5)=84,(4,7)=90,(1,5)=91,(2,3)=93]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=7\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=13\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=18 Succeeded, w=31\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=52\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4, 6: 3, 7: 2}, Find(1)=2, Find(3)=3, Add (1,3)=27 Succeeded, w=79\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 3, 7: 2}, Find(2)=2, Find(5)=4, Add (2,5)=28 Succeeded, w=107\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=31 Failed, w=107\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=33 Failed, w=107\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=33 Failed, w=107\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=34 Failed, w=107\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=42 Failed, w=107\",\"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)=57 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=68 Failed, w=107\",\"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)=72 Failed, w=107\",\"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)=74 Failed, w=107\",\"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)=74 Failed, w=107\",\"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)=81 Failed, w=107\",\"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)=83 Failed, w=107\",\"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)=84 Failed, w=107\",\"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)=90 Failed, w=107\",\"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=107\",\"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)=93 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,39],[0,2,85],[0,4,27],[0,5,90],[0,6,76],[0,7,0],[1,2,70],[1,3,94],[1,4,81],[2,4,65],[2,5,97],[2,6,75],[3,4,46],[3,5,96],[3,6,91],[3,7,64],[4,5,38],[4,6,95],[4,7,77],[5,6,58],[5,7,16],[6,7,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,85],[0,4,27],[0,5,90],[0,6,76],[0,7,0],[1,2,70],[1,3,94],[1,4,81],[2,4,65],[2,5,97],[2,6,75],[3,4,46],[3,5,96],[3,6,91],[3,7,64],[4,5,38],[4,6,95],[4,7,77],[5,6,58],[5,7,16],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,85],[0,4,27],[0,5,90],[0,6,76],[0,7,0],[1,2,70],[1,3,94],[1,4,81],[2,4,65],[2,5,97],[2,6,75],[3,4,46],[3,5,96],[3,6,91],[3,7,64],[4,5,38],[4,6,95],[4,7,77],[5,6,58],[5,7,16],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (5,7)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (2,4)\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,85],[0,4,27],[0,5,90],[0,6,76],[0,7,0],[1,2,70],[1,3,94],[1,4,81],[2,4,65],[2,5,97],[2,6,75],[3,4,46],[3,5,96],[3,6,91],[3,7,64],[4,5,38],[4,6,95],[4,7,77],[5,6,58],[5,7,16],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0, w=0\",\"Add (5,7)=16, w=16\",\"Add (0,4)=27, w=43\",\"Add (0,1)=39, w=82\",\"Add (3,4)=46, w=128\",\"Add (5,6)=58, w=186\",\"Add (2,4)=65, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,85],[0,4,27],[0,5,90],[0,6,76],[0,7,0],[1,2,70],[1,3,94],[1,4,81],[2,4,65],[2,5,97],[2,6,75],[3,4,46],[3,5,96],[3,6,91],[3,7,64],[4,5,38],[4,6,95],[4,7,77],[5,6,58],[5,7,16],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0 Succeeded, w=0\",\"Add (5,7)=16 Succeeded, w=16\",\"Add (0,4)=27 Succeeded, w=43\",\"Add (4,5)=38 Failed, w=43\",\"Add (0,1)=39 Succeeded, w=82\",\"Add (3,4)=46 Succeeded, w=128\",\"Add (5,6)=58 Succeeded, w=186\",\"Add (3,7)=64 Failed, w=186\",\"Add (2,4)=65 Succeeded, w=251\",\"Add (1,2)=70 Failed, w=251\",\"Add (2,6)=75 Failed, w=251\",\"Add (0,6)=76 Failed, w=251\",\"Add (4,7)=77 Failed, w=251\",\"Add (6,7)=79 Failed, w=251\",\"Add (1,4)=81 Failed, w=251\",\"Add (0,2)=85 Failed, w=251\",\"Add (0,5)=90 Failed, w=251\",\"Add (3,6)=91 Failed, w=251\",\"Add (1,3)=94 Failed, w=251\",\"Add (4,6)=95 Failed, w=251\",\"Add (3,5)=96 Failed, w=251\",\"Add (2,5)=97 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,85],[0,4,27],[0,5,90],[0,6,76],[0,7,0],[1,2,70],[1,3,94],[1,4,81],[2,4,65],[2,5,97],[2,6,75],[3,4,46],[3,5,96],[3,6,91],[3,7,64],[4,5,38],[4,6,95],[4,7,77],[5,6,58],[5,7,16],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(5,7)=16,(0,4)=27,(4,5)=38,(0,1)=39,(3,4)=46,(5,6)=58,(3,7)=64,(2,4)=65,(1,2)=70,(2,6)=75,(0,6)=76,(4,7)=77,(6,7)=79,(1,4)=81,(0,2)=85,(0,5)=90,(3,6)=91,(1,3)=94,(4,6)=95,(3,5)=96,(2,5)=97]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Find(5)=5, Find(7)=0, Add (5,7)=16 Succeeded, w=16\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=43\",\"Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=82\",\"Find(3)=3, Find(4)=0, Add (3,4)=46 Succeeded, w=128\",\"Find(5)=0, Find(6)=6, Add (5,6)=58 Succeeded, w=186\",\"Find(3)=0, Find(7)=0, Add (3,7)=64 Failed, w=186\",\"Find(2)=2, Find(4)=0, Add (2,4)=65 Succeeded, w=251\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=251\",\"Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=251\",\"Find(0)=0, Find(6)=0, Add (0,6)=76 Failed, w=251\",\"Find(4)=0, Find(7)=0, Add (4,7)=77 Failed, w=251\",\"Find(6)=0, Find(7)=0, Add (6,7)=79 Failed, w=251\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=251\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=251\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=251\",\"Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=251\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=251\",\"Find(4)=0, Find(6)=0, Add (4,6)=95 Failed, w=251\",\"Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=251\",\"Find(2)=0, Find(5)=0, Add (2,5)=97 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,85],[0,4,27],[0,5,90],[0,6,76],[0,7,0],[1,2,70],[1,3,94],[1,4,81],[2,4,65],[2,5,97],[2,6,75],[3,4,46],[3,5,96],[3,6,91],[3,7,64],[4,5,38],[4,6,95],[4,7,77],[5,6,58],[5,7,16],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(5,7)=16,(0,4)=27,(4,5)=38,(0,1)=39,(3,4)=46,(5,6)=58,(3,7)=64,(2,4)=65,(1,2)=70,(2,6)=75,(0,6)=76,(4,7)=77,(6,7)=79,(1,4)=81,(0,2)=85,(0,5)=90,(3,6)=91,(1,3)=94,(4,6)=95,(3,5)=96,(2,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=3, Find(4)=0, Add (3,4)=46 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=6, Add (5,6)=58 Succeeded, w=186\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=64 Failed, w=186\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(4)=0, Add (2,4)=65 Succeeded, w=251\",\"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)=70 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=251\",\"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)=76 Failed, w=251\",\"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)=77 Failed, w=251\",\"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)=79 Failed, w=251\",\"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)=81 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=251\",\"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)=91 Failed, w=251\",\"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)=94 Failed, w=251\",\"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)=95 Failed, w=251\",\"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)=96 Failed, w=251\",\"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)=97 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,54],[0,3,12],[0,5,40],[1,2,0],[1,3,60],[1,5,42],[2,3,89],[2,4,32],[2,6,37],[3,4,60],[3,6,2],[4,5,20],[4,6,61],[5,6,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,54],[0,3,12],[0,5,40],[1,2,0],[1,3,60],[1,5,42],[2,3,89],[2,4,32],[2,6,37],[3,4,60],[3,6,2],[4,5,20],[4,6,61],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,54],[0,3,12],[0,5,40],[1,2,0],[1,3,60],[1,5,42],[2,3,89],[2,4,32],[2,6,37],[3,4,60],[3,6,2],[4,5,20],[4,6,61],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (2,6)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,54],[0,3,12],[0,5,40],[1,2,0],[1,3,60],[1,5,42],[2,3,89],[2,4,32],[2,6,37],[3,4,60],[3,6,2],[4,5,20],[4,6,61],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (3,6)=2, w=2\",\"Add (0,3)=12, w=14\",\"Add (4,5)=20, w=34\",\"Add (2,4)=32, w=66\",\"Add (2,6)=37, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,54],[0,3,12],[0,5,40],[1,2,0],[1,3,60],[1,5,42],[2,3,89],[2,4,32],[2,6,37],[3,4,60],[3,6,2],[4,5,20],[4,6,61],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (3,6)=2 Succeeded, w=2\",\"Add (0,3)=12 Succeeded, w=14\",\"Add (4,5)=20 Succeeded, w=34\",\"Add (2,4)=32 Succeeded, w=66\",\"Add (2,6)=37 Succeeded, w=103\",\"Add (0,5)=40 Failed, w=103\",\"Add (1,5)=42 Failed, w=103\",\"Add (0,2)=54 Failed, w=103\",\"Add (1,3)=60 Failed, w=103\",\"Add (3,4)=60 Failed, w=103\",\"Add (4,6)=61 Failed, w=103\",\"Add (2,3)=89 Failed, w=103\",\"Add (5,6)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,54],[0,3,12],[0,5,40],[1,2,0],[1,3,60],[1,5,42],[2,3,89],[2,4,32],[2,6,37],[3,4,60],[3,6,2],[4,5,20],[4,6,61],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,6)=2,(0,3)=12,(4,5)=20,(2,4)=32,(2,6)=37,(0,5)=40,(1,5)=42,(0,2)=54,(1,3)=60,(3,4)=60,(4,6)=61,(2,3)=89,(5,6)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=14\",\"Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=34\",\"Find(2)=1, Find(4)=4, Add (2,4)=32 Succeeded, w=66\",\"Find(2)=1, Find(6)=3, Add (2,6)=37 Succeeded, w=103\",\"Find(0)=1, Find(5)=1, Add (0,5)=40 Failed, w=103\",\"Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=103\",\"Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=103\",\"Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=103\",\"Find(3)=1, Find(4)=1, Add (3,4)=60 Failed, w=103\",\"Find(4)=1, Find(6)=1, Add (4,6)=61 Failed, w=103\",\"Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=103\",\"Find(5)=1, Find(6)=1, Add (5,6)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,54],[0,3,12],[0,5,40],[1,2,0],[1,3,60],[1,5,42],[2,3,89],[2,4,32],[2,6,37],[3,4,60],[3,6,2],[4,5,20],[4,6,61],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,6)=2,(0,3)=12,(4,5)=20,(2,4)=32,(2,6)=37,(0,5)=40,(1,5)=42,(0,2)=54,(1,3)=60,(3,4)=60,(4,6)=61,(2,3)=89,(5,6)=98]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=14\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 3}, Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4, 6: 3}, Find(2)=1, Find(4)=4, Add (2,4)=32 Succeeded, w=66\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 3}, Find(2)=1, Find(6)=3, Add (2,6)=37 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(5)=1, Add (0,5)=40 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(3)=1, Find(4)=1, Add (3,4)=60 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=61 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,100],[0,2,75],[0,3,79],[1,2,39],[1,3,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,75],[0,3,79],[1,2,39],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,75],[0,3,79],[1,2,39],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,75],[0,3,79],[1,2,39],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=39, w=39\",\"Add (1,3)=49, w=88\",\"Add (0,2)=75, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,75],[0,3,79],[1,2,39],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=39 Succeeded, w=39\",\"Add (1,3)=49 Succeeded, w=88\",\"Add (0,2)=75 Succeeded, w=163\",\"Add (0,3)=79 Failed, w=163\",\"Add (0,1)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,75],[0,3,79],[1,2,39],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=39,(1,3)=49,(0,2)=75,(0,3)=79,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=39\",\"Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=88\",\"Find(0)=0, Find(2)=1, Add (0,2)=75 Succeeded, w=163\",\"Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=163\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,75],[0,3,79],[1,2,39],[1,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=39,(1,3)=49,(0,2)=75,(0,3)=79,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=75 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,53],[0,2,67],[0,3,99],[0,4,31],[0,5,73],[0,6,25],[0,7,37],[1,2,6],[1,3,89],[1,4,49],[1,5,44],[1,6,29],[1,7,23],[2,3,55],[2,4,24],[2,5,47],[2,6,87],[2,7,83],[3,4,13],[3,5,86],[3,6,8],[3,7,76],[4,5,70],[4,6,22],[4,7,32],[5,6,45],[5,7,98],[6,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,67],[0,3,99],[0,4,31],[0,5,73],[0,6,25],[0,7,37],[1,2,6],[1,3,89],[1,4,49],[1,5,44],[1,6,29],[1,7,23],[2,3,55],[2,4,24],[2,5,47],[2,6,87],[2,7,83],[3,4,13],[3,5,86],[3,6,8],[3,7,76],[4,5,70],[4,6,22],[4,7,32],[5,6,45],[5,7,98],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,67],[0,3,99],[0,4,31],[0,5,73],[0,6,25],[0,7,37],[1,2,6],[1,3,89],[1,4,49],[1,5,44],[1,6,29],[1,7,23],[2,3,55],[2,4,24],[2,5,47],[2,6,87],[2,7,83],[3,4,13],[3,5,86],[3,6,8],[3,7,76],[4,5,70],[4,6,22],[4,7,32],[5,6,45],[5,7,98],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (1,5)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,67],[0,3,99],[0,4,31],[0,5,73],[0,6,25],[0,7,37],[1,2,6],[1,3,89],[1,4,49],[1,5,44],[1,6,29],[1,7,23],[2,3,55],[2,4,24],[2,5,47],[2,6,87],[2,7,83],[3,4,13],[3,5,86],[3,6,8],[3,7,76],[4,5,70],[4,6,22],[4,7,32],[5,6,45],[5,7,98],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (3,6)=8, w=14\",\"Add (3,4)=13, w=27\",\"Add (1,7)=23, w=50\",\"Add (2,4)=24, w=74\",\"Add (0,6)=25, w=99\",\"Add (1,5)=44, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,67],[0,3,99],[0,4,31],[0,5,73],[0,6,25],[0,7,37],[1,2,6],[1,3,89],[1,4,49],[1,5,44],[1,6,29],[1,7,23],[2,3,55],[2,4,24],[2,5,47],[2,6,87],[2,7,83],[3,4,13],[3,5,86],[3,6,8],[3,7,76],[4,5,70],[4,6,22],[4,7,32],[5,6,45],[5,7,98],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (3,6)=8 Succeeded, w=14\",\"Add (3,4)=13 Succeeded, w=27\",\"Add (4,6)=22 Failed, w=27\",\"Add (1,7)=23 Succeeded, w=50\",\"Add (2,4)=24 Succeeded, w=74\",\"Add (0,6)=25 Succeeded, w=99\",\"Add (6,7)=27 Failed, w=99\",\"Add (1,6)=29 Failed, w=99\",\"Add (0,4)=31 Failed, w=99\",\"Add (4,7)=32 Failed, w=99\",\"Add (0,7)=37 Failed, w=99\",\"Add (1,5)=44 Succeeded, w=143\",\"Add (5,6)=45 Failed, w=143\",\"Add (2,5)=47 Failed, w=143\",\"Add (1,4)=49 Failed, w=143\",\"Add (0,1)=53 Failed, w=143\",\"Add (2,3)=55 Failed, w=143\",\"Add (0,2)=67 Failed, w=143\",\"Add (4,5)=70 Failed, w=143\",\"Add (0,5)=73 Failed, w=143\",\"Add (3,7)=76 Failed, w=143\",\"Add (2,7)=83 Failed, w=143\",\"Add (3,5)=86 Failed, w=143\",\"Add (2,6)=87 Failed, w=143\",\"Add (1,3)=89 Failed, w=143\",\"Add (5,7)=98 Failed, w=143\",\"Add (0,3)=99 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,67],[0,3,99],[0,4,31],[0,5,73],[0,6,25],[0,7,37],[1,2,6],[1,3,89],[1,4,49],[1,5,44],[1,6,29],[1,7,23],[2,3,55],[2,4,24],[2,5,47],[2,6,87],[2,7,83],[3,4,13],[3,5,86],[3,6,8],[3,7,76],[4,5,70],[4,6,22],[4,7,32],[5,6,45],[5,7,98],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(3,6)=8,(3,4)=13,(4,6)=22,(1,7)=23,(2,4)=24,(0,6)=25,(6,7)=27,(1,6)=29,(0,4)=31,(4,7)=32,(0,7)=37,(1,5)=44,(5,6)=45,(2,5)=47,(1,4)=49,(0,1)=53,(2,3)=55,(0,2)=67,(4,5)=70,(0,5)=73,(3,7)=76,(2,7)=83,(3,5)=86,(2,6)=87,(1,3)=89,(5,7)=98,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=14\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=27\",\"Find(4)=3, Find(6)=3, Add (4,6)=22 Failed, w=27\",\"Find(1)=1, Find(7)=7, Add (1,7)=23 Succeeded, w=50\",\"Find(2)=1, Find(4)=3, Add (2,4)=24 Succeeded, w=74\",\"Find(0)=0, Find(6)=1, Add (0,6)=25 Succeeded, w=99\",\"Find(6)=1, Find(7)=1, Add (6,7)=27 Failed, w=99\",\"Find(1)=1, Find(6)=1, Add (1,6)=29 Failed, w=99\",\"Find(0)=1, Find(4)=1, Add (0,4)=31 Failed, w=99\",\"Find(4)=1, Find(7)=1, Add (4,7)=32 Failed, w=99\",\"Find(0)=1, Find(7)=1, Add (0,7)=37 Failed, w=99\",\"Find(1)=1, Find(5)=5, Add (1,5)=44 Succeeded, w=143\",\"Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=143\",\"Find(2)=1, Find(5)=1, Add (2,5)=47 Failed, w=143\",\"Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=143\",\"Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=143\",\"Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=143\",\"Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=143\",\"Find(4)=1, Find(5)=1, Add (4,5)=70 Failed, w=143\",\"Find(0)=1, Find(5)=1, Add (0,5)=73 Failed, w=143\",\"Find(3)=1, Find(7)=1, Add (3,7)=76 Failed, w=143\",\"Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=143\",\"Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=143\",\"Find(2)=1, Find(6)=1, Add (2,6)=87 Failed, w=143\",\"Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=143\",\"Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=143\",\"Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,67],[0,3,99],[0,4,31],[0,5,73],[0,6,25],[0,7,37],[1,2,6],[1,3,89],[1,4,49],[1,5,44],[1,6,29],[1,7,23],[2,3,55],[2,4,24],[2,5,47],[2,6,87],[2,7,83],[3,4,13],[3,5,86],[3,6,8],[3,7,76],[4,5,70],[4,6,22],[4,7,32],[5,6,45],[5,7,98],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(3,6)=8,(3,4)=13,(4,6)=22,(1,7)=23,(2,4)=24,(0,6)=25,(6,7)=27,(1,6)=29,(0,4)=31,(4,7)=32,(0,7)=37,(1,5)=44,(5,6)=45,(2,5)=47,(1,4)=49,(0,1)=53,(2,3)=55,(0,2)=67,(4,5)=70,(0,5)=73,(3,7)=76,(2,7)=83,(3,5)=86,(2,6)=87,(1,3)=89,(5,7)=98,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(4)=3, Find(6)=3, Add (4,6)=22 Failed, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=23 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5, 6: 3, 7: 1}, Find(2)=1, Find(4)=3, Add (2,4)=24 Succeeded, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5, 6: 1, 7: 1}, Find(0)=0, Find(6)=1, Add (0,6)=25 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=27 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=29 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=31 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=32 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=37 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=44 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=47 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=143\",\"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)=67 Failed, w=143\",\"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)=70 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=73 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=76 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=143\",\"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)=87 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,56],[0,3,72],[0,4,81],[0,5,48],[0,6,17],[1,2,85],[1,3,87],[1,4,94],[1,5,9],[1,6,24],[2,3,17],[2,5,5],[3,4,19],[3,6,87],[4,5,15],[4,6,100],[5,6,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,72],[0,4,81],[0,5,48],[0,6,17],[1,2,85],[1,3,87],[1,4,94],[1,5,9],[1,6,24],[2,3,17],[2,5,5],[3,4,19],[3,6,87],[4,5,15],[4,6,100],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,72],[0,4,81],[0,5,48],[0,6,17],[1,2,85],[1,3,87],[1,4,94],[1,5,9],[1,6,24],[2,3,17],[2,5,5],[3,4,19],[3,6,87],[4,5,15],[4,6,100],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (2,3)\",\"Add (1,6)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,72],[0,4,81],[0,5,48],[0,6,17],[1,2,85],[1,3,87],[1,4,94],[1,5,9],[1,6,24],[2,3,17],[2,5,5],[3,4,19],[3,6,87],[4,5,15],[4,6,100],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5, w=5\",\"Add (1,5)=9, w=14\",\"Add (4,5)=15, w=29\",\"Add (0,6)=17, w=46\",\"Add (2,3)=17, w=63\",\"Add (1,6)=24, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,72],[0,4,81],[0,5,48],[0,6,17],[1,2,85],[1,3,87],[1,4,94],[1,5,9],[1,6,24],[2,3,17],[2,5,5],[3,4,19],[3,6,87],[4,5,15],[4,6,100],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5 Succeeded, w=5\",\"Add (1,5)=9 Succeeded, w=14\",\"Add (4,5)=15 Succeeded, w=29\",\"Add (0,6)=17 Succeeded, w=46\",\"Add (2,3)=17 Succeeded, w=63\",\"Add (3,4)=19 Failed, w=63\",\"Add (1,6)=24 Succeeded, w=87\",\"Add (0,5)=48 Failed, w=87\",\"Add (0,1)=56 Failed, w=87\",\"Add (5,6)=61 Failed, w=87\",\"Add (0,3)=72 Failed, w=87\",\"Add (0,4)=81 Failed, w=87\",\"Add (1,2)=85 Failed, w=87\",\"Add (1,3)=87 Failed, w=87\",\"Add (3,6)=87 Failed, w=87\",\"Add (1,4)=94 Failed, w=87\",\"Add (4,6)=100 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,72],[0,4,81],[0,5,48],[0,6,17],[1,2,85],[1,3,87],[1,4,94],[1,5,9],[1,6,24],[2,3,17],[2,5,5],[3,4,19],[3,6,87],[4,5,15],[4,6,100],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(1,5)=9,(4,5)=15,(0,6)=17,(2,3)=17,(3,4)=19,(1,6)=24,(0,5)=48,(0,1)=56,(5,6)=61,(0,3)=72,(0,4)=81,(1,2)=85,(1,3)=87,(3,6)=87,(1,4)=94,(4,6)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(5)=2, Add (1,5)=9 Succeeded, w=14\",\"Find(4)=4, Find(5)=2, Add (4,5)=15 Succeeded, w=29\",\"Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=46\",\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=63\",\"Find(3)=2, Find(4)=2, Add (3,4)=19 Failed, w=63\",\"Find(1)=2, Find(6)=0, Add (1,6)=24 Succeeded, w=87\",\"Find(0)=2, Find(5)=2, Add (0,5)=48 Failed, w=87\",\"Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=87\",\"Find(5)=2, Find(6)=2, Add (5,6)=61 Failed, w=87\",\"Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=87\",\"Find(0)=2, Find(4)=2, Add (0,4)=81 Failed, w=87\",\"Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=87\",\"Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=87\",\"Find(3)=2, Find(6)=2, Add (3,6)=87 Failed, w=87\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=87\",\"Find(4)=2, Find(6)=2, Add (4,6)=100 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,3,72],[0,4,81],[0,5,48],[0,6,17],[1,2,85],[1,3,87],[1,4,94],[1,5,9],[1,6,24],[2,3,17],[2,5,5],[3,4,19],[3,6,87],[4,5,15],[4,6,100],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(1,5)=9,(4,5)=15,(0,6)=17,(2,3)=17,(3,4)=19,(1,6)=24,(0,5)=48,(0,1)=56,(5,6)=61,(0,3)=72,(0,4)=81,(1,2)=85,(1,3)=87,(3,6)=87,(1,4)=94,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(4)=4, Find(5)=2, Add (4,5)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(3)=2, Find(4)=2, Add (3,4)=19 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(1)=2, Find(6)=0, Add (1,6)=24 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(0)=2, Find(5)=2, Add (0,5)=48 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=61 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=81 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=87 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=100 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,24],[0,2,71],[0,3,6],[1,2,43],[1,3,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,71],[0,3,6],[1,2,43],[1,3,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,71],[0,3,6],[1,2,43],[1,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,71],[0,3,6],[1,2,43],[1,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (0,1)=24, w=30\",\"Add (1,2)=43, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,71],[0,3,6],[1,2,43],[1,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (0,1)=24 Succeeded, w=30\",\"Add (1,2)=43 Succeeded, w=73\",\"Add (1,3)=59 Failed, w=73\",\"Add (0,2)=71 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,71],[0,3,6],[1,2,43],[1,3,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(0,1)=24,(1,2)=43,(1,3)=59,(0,2)=71]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=30\",\"Find(1)=0, Find(2)=2, Add (1,2)=43 Succeeded, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=73\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,71],[0,3,6],[1,2,43],[1,3,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(0,1)=24,(1,2)=43,(1,3)=59,(0,2)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=43 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,85],[0,4,83],[1,2,35],[1,3,12],[1,4,50],[2,4,68],[3,4,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,85],[0,4,83],[1,2,35],[1,3,12],[1,4,50],[2,4,68],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,85],[0,4,83],[1,2,35],[1,3,12],[1,4,50],[2,4,68],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,85],[0,4,83],[1,2,35],[1,3,12],[1,4,50],[2,4,68],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (3,4)=28, w=40\",\"Add (1,2)=35, w=75\",\"Add (0,1)=78, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,85],[0,4,83],[1,2,35],[1,3,12],[1,4,50],[2,4,68],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (3,4)=28 Succeeded, w=40\",\"Add (1,2)=35 Succeeded, w=75\",\"Add (1,4)=50 Failed, w=75\",\"Add (2,4)=68 Failed, w=75\",\"Add (0,1)=78 Succeeded, w=153\",\"Add (0,4)=83 Failed, w=153\",\"Add (0,2)=85 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,85],[0,4,83],[1,2,35],[1,3,12],[1,4,50],[2,4,68],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(3,4)=28,(1,2)=35,(1,4)=50,(2,4)=68,(0,1)=78,(0,4)=83,(0,2)=85]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(3)=1, Find(4)=4, Add (3,4)=28 Succeeded, w=40\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=75\",\"Find(1)=1, Find(4)=1, Add (1,4)=50 Failed, w=75\",\"Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=75\",\"Find(0)=0, Find(1)=1, Add (0,1)=78 Succeeded, w=153\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=153\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,85],[0,4,83],[1,2,35],[1,3,12],[1,4,50],[2,4,68],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(3,4)=28,(1,2)=35,(1,4)=50,(2,4)=68,(0,1)=78,(0,4)=83,(0,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=28 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=75\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=50 Failed, w=75\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=78 Succeeded, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,46],[0,2,18],[0,4,9],[0,5,85],[0,6,62],[1,2,36],[1,3,82],[1,4,40],[1,5,65],[1,6,44],[2,3,54],[2,4,33],[2,5,57],[3,4,30],[3,5,74],[3,6,66],[4,5,97],[4,6,51],[5,6,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,9],[0,5,85],[0,6,62],[1,2,36],[1,3,82],[1,4,40],[1,5,65],[1,6,44],[2,3,54],[2,4,33],[2,5,57],[3,4,30],[3,5,74],[3,6,66],[4,5,97],[4,6,51],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,9],[0,5,85],[0,6,62],[1,2,36],[1,3,82],[1,4,40],[1,5,65],[1,6,44],[2,3,54],[2,4,33],[2,5,57],[3,4,30],[3,5,74],[3,6,66],[4,5,97],[4,6,51],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (5,6)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,9],[0,5,85],[0,6,62],[1,2,36],[1,3,82],[1,4,40],[1,5,65],[1,6,44],[2,3,54],[2,4,33],[2,5,57],[3,4,30],[3,5,74],[3,6,66],[4,5,97],[4,6,51],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (0,2)=18, w=27\",\"Add (3,4)=30, w=57\",\"Add (1,2)=36, w=93\",\"Add (1,6)=44, w=137\",\"Add (5,6)=56, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,9],[0,5,85],[0,6,62],[1,2,36],[1,3,82],[1,4,40],[1,5,65],[1,6,44],[2,3,54],[2,4,33],[2,5,57],[3,4,30],[3,5,74],[3,6,66],[4,5,97],[4,6,51],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (0,2)=18 Succeeded, w=27\",\"Add (3,4)=30 Succeeded, w=57\",\"Add (2,4)=33 Failed, w=57\",\"Add (1,2)=36 Succeeded, w=93\",\"Add (1,4)=40 Failed, w=93\",\"Add (1,6)=44 Succeeded, w=137\",\"Add (0,1)=46 Failed, w=137\",\"Add (4,6)=51 Failed, w=137\",\"Add (2,3)=54 Failed, w=137\",\"Add (5,6)=56 Succeeded, w=193\",\"Add (2,5)=57 Failed, w=193\",\"Add (0,6)=62 Failed, w=193\",\"Add (1,5)=65 Failed, w=193\",\"Add (3,6)=66 Failed, w=193\",\"Add (3,5)=74 Failed, w=193\",\"Add (1,3)=82 Failed, w=193\",\"Add (0,5)=85 Failed, w=193\",\"Add (4,5)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,9],[0,5,85],[0,6,62],[1,2,36],[1,3,82],[1,4,40],[1,5,65],[1,6,44],[2,3,54],[2,4,33],[2,5,57],[3,4,30],[3,5,74],[3,6,66],[4,5,97],[4,6,51],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(0,2)=18,(3,4)=30,(2,4)=33,(1,2)=36,(1,4)=40,(1,6)=44,(0,1)=46,(4,6)=51,(2,3)=54,(5,6)=56,(2,5)=57,(0,6)=62,(1,5)=65,(3,6)=66,(3,5)=74,(1,3)=82,(0,5)=85,(4,5)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=27\",\"Find(3)=3, Find(4)=0, Add (3,4)=30 Succeeded, w=57\",\"Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=57\",\"Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=93\",\"Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=93\",\"Find(1)=0, Find(6)=6, Add (1,6)=44 Succeeded, w=137\",\"Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=137\",\"Find(4)=0, Find(6)=0, Add (4,6)=51 Failed, w=137\",\"Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=137\",\"Find(5)=5, Find(6)=0, Add (5,6)=56 Succeeded, w=193\",\"Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=193\",\"Find(0)=0, Find(6)=0, Add (0,6)=62 Failed, w=193\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=193\",\"Find(3)=0, Find(6)=0, Add (3,6)=66 Failed, w=193\",\"Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=193\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=193\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=193\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,18],[0,4,9],[0,5,85],[0,6,62],[1,2,36],[1,3,82],[1,4,40],[1,5,65],[1,6,44],[2,3,54],[2,4,33],[2,5,57],[3,4,30],[3,5,74],[3,6,66],[4,5,97],[4,6,51],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(0,2)=18,(3,4)=30,(2,4)=33,(1,2)=36,(1,4)=40,(1,6)=44,(0,1)=46,(4,6)=51,(2,3)=54,(5,6)=56,(2,5)=57,(0,6)=62,(1,5)=65,(3,6)=66,(3,5)=74,(1,3)=82,(0,5)=85,(4,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=30 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=44 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=51 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=56 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=62 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=66 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,98],[0,2,98],[0,3,5],[0,4,60],[0,5,42],[1,2,57],[1,3,63],[1,4,44],[1,6,29],[1,7,45],[2,3,3],[2,5,100],[2,7,67],[3,4,28],[3,5,21],[3,6,52],[3,7,45],[4,5,61],[4,6,38],[4,7,14],[5,6,14],[5,7,24],[6,7,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,98],[0,3,5],[0,4,60],[0,5,42],[1,2,57],[1,3,63],[1,4,44],[1,6,29],[1,7,45],[2,3,3],[2,5,100],[2,7,67],[3,4,28],[3,5,21],[3,6,52],[3,7,45],[4,5,61],[4,6,38],[4,7,14],[5,6,14],[5,7,24],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,98],[0,3,5],[0,4,60],[0,5,42],[1,2,57],[1,3,63],[1,4,44],[1,6,29],[1,7,45],[2,3,3],[2,5,100],[2,7,67],[3,4,28],[3,5,21],[3,6,52],[3,7,45],[4,5,61],[4,6,38],[4,7,14],[5,6,14],[5,7,24],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (4,7)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (5,7)\",\"Add (1,6)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,98],[0,3,5],[0,4,60],[0,5,42],[1,2,57],[1,3,63],[1,4,44],[1,6,29],[1,7,45],[2,3,3],[2,5,100],[2,7,67],[3,4,28],[3,5,21],[3,6,52],[3,7,45],[4,5,61],[4,6,38],[4,7,14],[5,6,14],[5,7,24],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,3)=5, w=8\",\"Add (4,7)=14, w=22\",\"Add (5,6)=14, w=36\",\"Add (3,5)=21, w=57\",\"Add (5,7)=24, w=81\",\"Add (1,6)=29, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,98],[0,3,5],[0,4,60],[0,5,42],[1,2,57],[1,3,63],[1,4,44],[1,6,29],[1,7,45],[2,3,3],[2,5,100],[2,7,67],[3,4,28],[3,5,21],[3,6,52],[3,7,45],[4,5,61],[4,6,38],[4,7,14],[5,6,14],[5,7,24],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,3)=5 Succeeded, w=8\",\"Add (4,7)=14 Succeeded, w=22\",\"Add (5,6)=14 Succeeded, w=36\",\"Add (3,5)=21 Succeeded, w=57\",\"Add (5,7)=24 Succeeded, w=81\",\"Add (3,4)=28 Failed, w=81\",\"Add (6,7)=28 Failed, w=81\",\"Add (1,6)=29 Succeeded, w=110\",\"Add (4,6)=38 Failed, w=110\",\"Add (0,5)=42 Failed, w=110\",\"Add (1,4)=44 Failed, w=110\",\"Add (1,7)=45 Failed, w=110\",\"Add (3,7)=45 Failed, w=110\",\"Add (3,6)=52 Failed, w=110\",\"Add (1,2)=57 Failed, w=110\",\"Add (0,4)=60 Failed, w=110\",\"Add (4,5)=61 Failed, w=110\",\"Add (1,3)=63 Failed, w=110\",\"Add (2,7)=67 Failed, w=110\",\"Add (0,1)=98 Failed, w=110\",\"Add (0,2)=98 Failed, w=110\",\"Add (2,5)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,98],[0,3,5],[0,4,60],[0,5,42],[1,2,57],[1,3,63],[1,4,44],[1,6,29],[1,7,45],[2,3,3],[2,5,100],[2,7,67],[3,4,28],[3,5,21],[3,6,52],[3,7,45],[4,5,61],[4,6,38],[4,7,14],[5,6,14],[5,7,24],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,3)=5,(4,7)=14,(5,6)=14,(3,5)=21,(5,7)=24,(3,4)=28,(6,7)=28,(1,6)=29,(4,6)=38,(0,5)=42,(1,4)=44,(1,7)=45,(3,7)=45,(3,6)=52,(1,2)=57,(0,4)=60,(4,5)=61,(1,3)=63,(2,7)=67,(0,1)=98,(0,2)=98,(2,5)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=2, Add (0,3)=5 Succeeded, w=8\",\"Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=22\",\"Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=36\",\"Find(3)=2, Find(5)=5, Add (3,5)=21 Succeeded, w=57\",\"Find(5)=2, Find(7)=4, Add (5,7)=24 Succeeded, w=81\",\"Find(3)=2, Find(4)=2, Add (3,4)=28 Failed, w=81\",\"Find(6)=2, Find(7)=2, Add (6,7)=28 Failed, w=81\",\"Find(1)=1, Find(6)=2, Add (1,6)=29 Succeeded, w=110\",\"Find(4)=2, Find(6)=2, Add (4,6)=38 Failed, w=110\",\"Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=110\",\"Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=110\",\"Find(1)=2, Find(7)=2, Add (1,7)=45 Failed, w=110\",\"Find(3)=2, Find(7)=2, Add (3,7)=45 Failed, w=110\",\"Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=110\",\"Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=110\",\"Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=110\",\"Find(4)=2, Find(5)=2, Add (4,5)=61 Failed, w=110\",\"Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=110\",\"Find(2)=2, Find(7)=2, Add (2,7)=67 Failed, w=110\",\"Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=110\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=110\",\"Find(2)=2, Find(5)=2, Add (2,5)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,98],[0,3,5],[0,4,60],[0,5,42],[1,2,57],[1,3,63],[1,4,44],[1,6,29],[1,7,45],[2,3,3],[2,5,100],[2,7,67],[3,4,28],[3,5,21],[3,6,52],[3,7,45],[4,5,61],[4,6,38],[4,7,14],[5,6,14],[5,7,24],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,3)=5,(4,7)=14,(5,6)=14,(3,5)=21,(5,7)=24,(3,4)=28,(6,7)=28,(1,6)=29,(4,6)=38,(0,5)=42,(1,4)=44,(1,7)=45,(3,7)=45,(3,6)=52,(1,2)=57,(0,4)=60,(4,5)=61,(1,3)=63,(2,7)=67,(0,1)=98,(0,2)=98,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=2, Add (0,3)=5 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 4}, Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=36\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 5, 7: 4}, Find(3)=2, Find(5)=5, Add (3,5)=21 Succeeded, w=57\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 4}, Find(5)=2, Find(7)=4, Add (5,7)=24 Succeeded, w=81\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 4}, Find(3)=2, Find(4)=2, Add (3,4)=28 Failed, w=81\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=28 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(6)=2, Add (1,6)=29 Succeeded, w=110\",\"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)=38 Failed, w=110\",\"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)=42 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=45 Failed, w=110\",\"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)=45 Failed, w=110\",\"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)=52 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=110\",\"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)=60 Failed, w=110\",\"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)=61 Failed, w=110\",\"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)=63 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=67 Failed, w=110\",\"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)=98 Failed, w=110\",\"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)=98 Failed, w=110\",\"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)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,98],[0,3,93],[0,4,33],[1,2,13],[1,4,88],[2,3,80],[3,4,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,3,93],[0,4,33],[1,2,13],[1,4,88],[2,3,80],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,3,93],[0,4,33],[1,2,13],[1,4,88],[2,3,80],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,3,93],[0,4,33],[1,2,13],[1,4,88],[2,3,80],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (3,4)=16, w=29\",\"Add (0,4)=33, w=62\",\"Add (2,3)=80, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,3,93],[0,4,33],[1,2,13],[1,4,88],[2,3,80],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (3,4)=16 Succeeded, w=29\",\"Add (0,4)=33 Succeeded, w=62\",\"Add (2,3)=80 Succeeded, w=142\",\"Add (1,4)=88 Failed, w=142\",\"Add (0,3)=93 Failed, w=142\",\"Add (0,1)=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],\"edges\":[[0,1,98],[0,3,93],[0,4,33],[1,2,13],[1,4,88],[2,3,80],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(3,4)=16,(0,4)=33,(2,3)=80,(1,4)=88,(0,3)=93,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=29\",\"Find(0)=0, Find(4)=3, Add (0,4)=33 Succeeded, w=62\",\"Find(2)=1, Find(3)=3, Add (2,3)=80 Succeeded, w=142\",\"Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=142\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=142\",\"Find(0)=1, Find(1)=1, Add (0,1)=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],\"edges\":[[0,1,98],[0,3,93],[0,4,33],[1,2,13],[1,4,88],[2,3,80],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(3,4)=16,(0,4)=33,(2,3)=80,(1,4)=88,(0,3)=93,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=29\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=33 Succeeded, w=62\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(3)=3, Add (2,3)=80 Succeeded, w=142\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,3],[0,3,42],[0,4,71],[0,5,75],[0,6,47],[1,2,87],[1,4,90],[1,5,6],[1,6,70],[2,3,24],[2,4,37],[2,5,89],[2,6,46],[3,4,34],[3,5,61],[3,6,84],[4,5,58],[4,6,70],[5,6,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,3],[0,3,42],[0,4,71],[0,5,75],[0,6,47],[1,2,87],[1,4,90],[1,5,6],[1,6,70],[2,3,24],[2,4,37],[2,5,89],[2,6,46],[3,4,34],[3,5,61],[3,6,84],[4,5,58],[4,6,70],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,3],[0,3,42],[0,4,71],[0,5,75],[0,6,47],[1,2,87],[1,4,90],[1,5,6],[1,6,70],[2,3,24],[2,4,37],[2,5,89],[2,6,46],[3,4,34],[3,5,61],[3,6,84],[4,5,58],[4,6,70],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (2,6)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,3],[0,3,42],[0,4,71],[0,5,75],[0,6,47],[1,2,87],[1,4,90],[1,5,6],[1,6,70],[2,3,24],[2,4,37],[2,5,89],[2,6,46],[3,4,34],[3,5,61],[3,6,84],[4,5,58],[4,6,70],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,5)=6, w=9\",\"Add (5,6)=18, w=27\",\"Add (2,3)=24, w=51\",\"Add (3,4)=34, w=85\",\"Add (2,6)=46, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,3],[0,3,42],[0,4,71],[0,5,75],[0,6,47],[1,2,87],[1,4,90],[1,5,6],[1,6,70],[2,3,24],[2,4,37],[2,5,89],[2,6,46],[3,4,34],[3,5,61],[3,6,84],[4,5,58],[4,6,70],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,5)=6 Succeeded, w=9\",\"Add (5,6)=18 Succeeded, w=27\",\"Add (2,3)=24 Succeeded, w=51\",\"Add (3,4)=34 Succeeded, w=85\",\"Add (2,4)=37 Failed, w=85\",\"Add (0,3)=42 Failed, w=85\",\"Add (2,6)=46 Succeeded, w=131\",\"Add (0,6)=47 Failed, w=131\",\"Add (4,5)=58 Failed, w=131\",\"Add (3,5)=61 Failed, w=131\",\"Add (0,1)=65 Failed, w=131\",\"Add (1,6)=70 Failed, w=131\",\"Add (4,6)=70 Failed, w=131\",\"Add (0,4)=71 Failed, w=131\",\"Add (0,5)=75 Failed, w=131\",\"Add (3,6)=84 Failed, w=131\",\"Add (1,2)=87 Failed, w=131\",\"Add (2,5)=89 Failed, w=131\",\"Add (1,4)=90 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,3],[0,3,42],[0,4,71],[0,5,75],[0,6,47],[1,2,87],[1,4,90],[1,5,6],[1,6,70],[2,3,24],[2,4,37],[2,5,89],[2,6,46],[3,4,34],[3,5,61],[3,6,84],[4,5,58],[4,6,70],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,5)=6,(5,6)=18,(2,3)=24,(3,4)=34,(2,4)=37,(0,3)=42,(2,6)=46,(0,6)=47,(4,5)=58,(3,5)=61,(0,1)=65,(1,6)=70,(4,6)=70,(0,4)=71,(0,5)=75,(3,6)=84,(1,2)=87,(2,5)=89,(1,4)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Find(5)=1, Find(6)=6, Add (5,6)=18 Succeeded, w=27\",\"Find(2)=0, Find(3)=3, Add (2,3)=24 Succeeded, w=51\",\"Find(3)=0, Find(4)=4, Add (3,4)=34 Succeeded, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=85\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=85\",\"Find(2)=0, Find(6)=1, Add (2,6)=46 Succeeded, w=131\",\"Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=131\",\"Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=131\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=131\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=131\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=131\",\"Find(4)=0, Find(6)=0, Add (4,6)=70 Failed, w=131\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=131\",\"Find(0)=0, Find(5)=0, Add (0,5)=75 Failed, w=131\",\"Find(3)=0, Find(6)=0, Add (3,6)=84 Failed, w=131\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=131\",\"Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=131\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,3],[0,3,42],[0,4,71],[0,5,75],[0,6,47],[1,2,87],[1,4,90],[1,5,6],[1,6,70],[2,3,24],[2,4,37],[2,5,89],[2,6,46],[3,4,34],[3,5,61],[3,6,84],[4,5,58],[4,6,70],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,5)=6,(5,6)=18,(2,3)=24,(3,4)=34,(2,4)=37,(0,3)=42,(2,6)=46,(0,6)=47,(4,5)=58,(3,5)=61,(0,1)=65,(1,6)=70,(4,6)=70,(0,4)=71,(0,5)=75,(3,6)=84,(1,2)=87,(2,5)=89,(1,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=18 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 1, 6: 1}, Find(2)=0, Find(3)=3, Add (2,3)=24 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1}, Find(3)=0, Find(4)=4, Add (3,4)=34 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1}, Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=85\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1}, Find(2)=0, Find(6)=1, Add (2,6)=46 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=70 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=75 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=84 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=131\",\"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=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,96],[1,2,10],[2,3,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,96],[1,2,10],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,96],[1,2,10],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,96],[1,2,10],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (1,2)=10, w=13\",\"Add (0,1)=45, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,96],[1,2,10],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,2)=10 Succeeded, w=13\",\"Add (0,1)=45 Succeeded, w=58\",\"Add (0,2)=96 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,96],[1,2,10],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,2)=10,(0,1)=45,(0,2)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=13\",\"Find(0)=0, Find(1)=2, Add (0,1)=45 Succeeded, w=58\",\"Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,96],[1,2,10],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,2)=10,(0,1)=45,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=13\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=45 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.