graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,81],[0,2,97],[0,3,73],[0,4,56],[0,5,53],[0,6,13],[1,2,88],[1,3,80],[1,4,70],[1,5,31],[2,3,29],[2,4,53],[2,5,19],[2,6,12],[3,4,96],[3,5,5],[3,6,3],[4,5,14],[4,6,46],[5,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,97],[0,3,73],[0,4,56],[0,5,53],[0,6,13],[1,2,88],[1,3,80],[1,4,70],[1,5,31],[2,3,29],[2,4,53],[2,5,19],[2,6,12],[3,4,96],[3,5,5],[3,6,3],[4,5,14],[4,6,46],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,97],[0,3,73],[0,4,56],[0,5,53],[0,6,13],[1,2,88],[1,3,80],[1,4,70],[1,5,31],[2,3,29],[2,4,53],[2,5,19],[2,6,12],[3,4,96],[3,5,5],[3,6,3],[4,5,14],[4,6,46],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (1,5)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,97],[0,3,73],[0,4,56],[0,5,53],[0,6,13],[1,2,88],[1,3,80],[1,4,70],[1,5,31],[2,3,29],[2,4,53],[2,5,19],[2,6,12],[3,4,96],[3,5,5],[3,6,3],[4,5,14],[4,6,46],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (3,5)=5, w=8\",\"Add (2,6)=12, w=20\",\"Add (0,6)=13, w=33\",\"Add (4,5)=14, w=47\",\"Add (1,5)=31, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,97],[0,3,73],[0,4,56],[0,5,53],[0,6,13],[1,2,88],[1,3,80],[1,4,70],[1,5,31],[2,3,29],[2,4,53],[2,5,19],[2,6,12],[3,4,96],[3,5,5],[3,6,3],[4,5,14],[4,6,46],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (3,5)=5 Succeeded, w=8\",\"Add (2,6)=12 Succeeded, w=20\",\"Add (0,6)=13 Succeeded, w=33\",\"Add (4,5)=14 Succeeded, w=47\",\"Add (2,5)=19 Failed, w=47\",\"Add (2,3)=29 Failed, w=47\",\"Add (1,5)=31 Succeeded, w=78\",\"Add (4,6)=46 Failed, w=78\",\"Add (0,5)=53 Failed, w=78\",\"Add (2,4)=53 Failed, w=78\",\"Add (0,4)=56 Failed, w=78\",\"Add (1,4)=70 Failed, w=78\",\"Add (0,3)=73 Failed, w=78\",\"Add (1,3)=80 Failed, w=78\",\"Add (0,1)=81 Failed, w=78\",\"Add (5,6)=82 Failed, w=78\",\"Add (1,2)=88 Failed, w=78\",\"Add (3,4)=96 Failed, w=78\",\"Add (0,2)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,97],[0,3,73],[0,4,56],[0,5,53],[0,6,13],[1,2,88],[1,3,80],[1,4,70],[1,5,31],[2,3,29],[2,4,53],[2,5,19],[2,6,12],[3,4,96],[3,5,5],[3,6,3],[4,5,14],[4,6,46],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(3,5)=5,(2,6)=12,(0,6)=13,(4,5)=14,(2,5)=19,(2,3)=29,(1,5)=31,(4,6)=46,(0,5)=53,(2,4)=53,(0,4)=56,(1,4)=70,(0,3)=73,(1,3)=80,(0,1)=81,(5,6)=82,(1,2)=88,(3,4)=96,(0,2)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=8\",\"Find(2)=2, Find(6)=3, Add (2,6)=12 Succeeded, w=20\",\"Find(0)=0, Find(6)=3, Add (0,6)=13 Succeeded, w=33\",\"Find(4)=4, Find(5)=3, Add (4,5)=14 Succeeded, w=47\",\"Find(2)=3, Find(5)=3, Add (2,5)=19 Failed, w=47\",\"Find(2)=3, Find(3)=3, Add (2,3)=29 Failed, w=47\",\"Find(1)=1, Find(5)=3, Add (1,5)=31 Succeeded, w=78\",\"Find(4)=3, Find(6)=3, Add (4,6)=46 Failed, w=78\",\"Find(0)=3, Find(5)=3, Add (0,5)=53 Failed, w=78\",\"Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=78\",\"Find(0)=3, Find(4)=3, Add (0,4)=56 Failed, w=78\",\"Find(1)=3, Find(4)=3, Add (1,4)=70 Failed, w=78\",\"Find(0)=3, Find(3)=3, Add (0,3)=73 Failed, w=78\",\"Find(1)=3, Find(3)=3, Add (1,3)=80 Failed, w=78\",\"Find(0)=3, Find(1)=3, Add (0,1)=81 Failed, w=78\",\"Find(5)=3, Find(6)=3, Add (5,6)=82 Failed, w=78\",\"Find(1)=3, Find(2)=3, Add (1,2)=88 Failed, w=78\",\"Find(3)=3, Find(4)=3, Add (3,4)=96 Failed, w=78\",\"Find(0)=3, Find(2)=3, Add (0,2)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,97],[0,3,73],[0,4,56],[0,5,53],[0,6,13],[1,2,88],[1,3,80],[1,4,70],[1,5,31],[2,3,29],[2,4,53],[2,5,19],[2,6,12],[3,4,96],[3,5,5],[3,6,3],[4,5,14],[4,6,46],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(3,5)=5,(2,6)=12,(0,6)=13,(4,5)=14,(2,5)=19,(2,3)=29,(1,5)=31,(4,6)=46,(0,5)=53,(2,4)=53,(0,4)=56,(1,4)=70,(0,3)=73,(1,3)=80,(0,1)=81,(5,6)=82,(1,2)=88,(3,4)=96,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=12 Succeeded, w=20\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=13 Succeeded, w=33\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=4, Find(5)=3, Add (4,5)=14 Succeeded, w=47\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=19 Failed, w=47\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=29 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(5)=3, Add (1,5)=31 Succeeded, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=46 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=53 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=56 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=70 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=73 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=80 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=81 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=82 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=88 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=96 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,52],[0,5,80],[0,6,48],[0,7,86],[1,2,40],[1,3,86],[1,5,57],[1,6,14],[2,6,70],[2,7,82],[3,4,70],[3,5,69],[3,6,35],[3,7,36],[4,6,46],[5,7,54],[6,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,52],[0,5,80],[0,6,48],[0,7,86],[1,2,40],[1,3,86],[1,5,57],[1,6,14],[2,6,70],[2,7,82],[3,4,70],[3,5,69],[3,6,35],[3,7,36],[4,6,46],[5,7,54],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,52],[0,5,80],[0,6,48],[0,7,86],[1,2,40],[1,3,86],[1,5,57],[1,6,14],[2,6,70],[2,7,82],[3,4,70],[3,5,69],[3,6,35],[3,7,36],[4,6,46],[5,7,54],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,6)\",\"Add (3,7)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (5,7)\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,52],[0,5,80],[0,6,48],[0,7,86],[1,2,40],[1,3,86],[1,5,57],[1,6,14],[2,6,70],[2,7,82],[3,4,70],[3,5,69],[3,6,35],[3,7,36],[4,6,46],[5,7,54],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=14, w=14\",\"Add (3,6)=35, w=49\",\"Add (3,7)=36, w=85\",\"Add (1,2)=40, w=125\",\"Add (4,6)=46, w=171\",\"Add (0,6)=48, w=219\",\"Add (5,7)=54, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,52],[0,5,80],[0,6,48],[0,7,86],[1,2,40],[1,3,86],[1,5,57],[1,6,14],[2,6,70],[2,7,82],[3,4,70],[3,5,69],[3,6,35],[3,7,36],[4,6,46],[5,7,54],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=14 Succeeded, w=14\",\"Add (3,6)=35 Succeeded, w=49\",\"Add (3,7)=36 Succeeded, w=85\",\"Add (1,2)=40 Succeeded, w=125\",\"Add (4,6)=46 Succeeded, w=171\",\"Add (0,6)=48 Succeeded, w=219\",\"Add (6,7)=49 Failed, w=219\",\"Add (0,4)=52 Failed, w=219\",\"Add (5,7)=54 Succeeded, w=273\",\"Add (1,5)=57 Failed, w=273\",\"Add (3,5)=69 Failed, w=273\",\"Add (2,6)=70 Failed, w=273\",\"Add (3,4)=70 Failed, w=273\",\"Add (0,5)=80 Failed, w=273\",\"Add (2,7)=82 Failed, w=273\",\"Add (0,7)=86 Failed, w=273\",\"Add (1,3)=86 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,52],[0,5,80],[0,6,48],[0,7,86],[1,2,40],[1,3,86],[1,5,57],[1,6,14],[2,6,70],[2,7,82],[3,4,70],[3,5,69],[3,6,35],[3,7,36],[4,6,46],[5,7,54],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=14,(3,6)=35,(3,7)=36,(1,2)=40,(4,6)=46,(0,6)=48,(6,7)=49,(0,4)=52,(5,7)=54,(1,5)=57,(3,5)=69,(2,6)=70,(3,4)=70,(0,5)=80,(2,7)=82,(0,7)=86,(1,3)=86]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=14\",\"Find(3)=3, Find(6)=1, Add (3,6)=35 Succeeded, w=49\",\"Find(3)=1, Find(7)=7, Add (3,7)=36 Succeeded, w=85\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=125\",\"Find(4)=4, Find(6)=1, Add (4,6)=46 Succeeded, w=171\",\"Find(0)=0, Find(6)=1, Add (0,6)=48 Succeeded, w=219\",\"Find(6)=1, Find(7)=1, Add (6,7)=49 Failed, w=219\",\"Find(0)=1, Find(4)=1, Add (0,4)=52 Failed, w=219\",\"Find(5)=5, Find(7)=1, Add (5,7)=54 Succeeded, w=273\",\"Find(1)=1, Find(5)=1, Add (1,5)=57 Failed, w=273\",\"Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=273\",\"Find(2)=1, Find(6)=1, Add (2,6)=70 Failed, w=273\",\"Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=273\",\"Find(0)=1, Find(5)=1, Add (0,5)=80 Failed, w=273\",\"Find(2)=1, Find(7)=1, Add (2,7)=82 Failed, w=273\",\"Find(0)=1, Find(7)=1, Add (0,7)=86 Failed, w=273\",\"Find(1)=1, Find(3)=1, Add (1,3)=86 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,52],[0,5,80],[0,6,48],[0,7,86],[1,2,40],[1,3,86],[1,5,57],[1,6,14],[2,6,70],[2,7,82],[3,4,70],[3,5,69],[3,6,35],[3,7,36],[4,6,46],[5,7,54],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=14,(3,6)=35,(3,7)=36,(1,2)=40,(4,6)=46,(0,6)=48,(6,7)=49,(0,4)=52,(5,7)=54,(1,5)=57,(3,5)=69,(2,6)=70,(3,4)=70,(0,5)=80,(2,7)=82,(0,7)=86,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(3)=3, Find(6)=1, Add (3,6)=35 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=36 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=125\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=4, Find(6)=1, Add (4,6)=46 Succeeded, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(0)=0, Find(6)=1, Add (0,6)=48 Succeeded, w=219\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=49 Failed, w=219\",\"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)=52 Failed, w=219\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=54 Succeeded, w=273\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=57 Failed, w=273\",\"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)=69 Failed, w=273\",\"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)=70 Failed, w=273\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=273\",\"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)=80 Failed, w=273\",\"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)=82 Failed, w=273\",\"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)=86 Failed, w=273\",\"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)=86 Failed, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,27],[0,3,84],[1,2,28],[1,3,64],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,84],[1,2,28],[1,3,64],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,84],[1,2,28],[1,3,64],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,84],[1,2,28],[1,3,64],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21, w=21\",\"Add (0,2)=27, w=48\",\"Add (1,2)=28, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,84],[1,2,28],[1,3,64],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21 Succeeded, w=21\",\"Add (0,2)=27 Succeeded, w=48\",\"Add (1,2)=28 Succeeded, w=76\",\"Add (1,3)=64 Failed, w=76\",\"Add (0,3)=84 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,84],[1,2,28],[1,3,64],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,2)=27,(1,2)=28,(1,3)=64,(0,3)=84]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=48\",\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=76\",\"Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=76\",\"Find(0)=2, Find(3)=2, Add (0,3)=84 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[0,3,84],[1,2,28],[1,3,64],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,2)=27,(1,2)=28,(1,3)=64,(0,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=84 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,13],[0,2,14],[0,3,2],[0,4,4],[1,2,58],[1,3,20],[1,4,41],[2,3,28],[2,4,92],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,2],[0,4,4],[1,2,58],[1,3,20],[1,4,41],[2,3,28],[2,4,92],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,2],[0,4,4],[1,2,58],[1,3,20],[1,4,41],[2,3,28],[2,4,92],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,2],[0,4,4],[1,2,58],[1,3,20],[1,4,41],[2,3,28],[2,4,92],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,4)=4, w=6\",\"Add (0,1)=13, w=19\",\"Add (0,2)=14, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,2],[0,4,4],[1,2,58],[1,3,20],[1,4,41],[2,3,28],[2,4,92],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,4)=4 Succeeded, w=6\",\"Add (0,1)=13 Succeeded, w=19\",\"Add (0,2)=14 Succeeded, w=33\",\"Add (1,3)=20 Failed, w=33\",\"Add (2,3)=28 Failed, w=33\",\"Add (1,4)=41 Failed, w=33\",\"Add (3,4)=54 Failed, w=33\",\"Add (1,2)=58 Failed, w=33\",\"Add (2,4)=92 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,2],[0,4,4],[1,2,58],[1,3,20],[1,4,41],[2,3,28],[2,4,92],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,4)=4,(0,1)=13,(0,2)=14,(1,3)=20,(2,3)=28,(1,4)=41,(3,4)=54,(1,2)=58,(2,4)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=33\",\"Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=33\",\"Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=33\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=33\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=33\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=33\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,14],[0,3,2],[0,4,4],[1,2,58],[1,3,20],[1,4,41],[2,3,28],[2,4,92],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,4)=4,(0,1)=13,(0,2)=14,(1,3)=20,(2,3)=28,(1,4)=41,(3,4)=54,(1,2)=58,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,2,47],[0,4,48],[0,5,97],[1,2,95],[1,3,36],[1,4,97],[2,3,99],[2,4,36],[2,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,47],[0,4,48],[0,5,97],[1,2,95],[1,3,36],[1,4,97],[2,3,99],[2,4,36],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,47],[0,4,48],[0,5,97],[1,2,95],[1,3,36],[1,4,97],[2,3,99],[2,4,36],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,47],[0,4,48],[0,5,97],[1,2,95],[1,3,36],[1,4,97],[2,3,99],[2,4,36],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=15, w=15\",\"Add (1,3)=36, w=51\",\"Add (2,4)=36, w=87\",\"Add (0,2)=47, w=134\",\"Add (0,1)=60, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,47],[0,4,48],[0,5,97],[1,2,95],[1,3,36],[1,4,97],[2,3,99],[2,4,36],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=15 Succeeded, w=15\",\"Add (1,3)=36 Succeeded, w=51\",\"Add (2,4)=36 Succeeded, w=87\",\"Add (0,2)=47 Succeeded, w=134\",\"Add (0,4)=48 Failed, w=134\",\"Add (0,1)=60 Succeeded, w=194\",\"Add (1,2)=95 Failed, w=194\",\"Add (0,5)=97 Failed, w=194\",\"Add (1,4)=97 Failed, w=194\",\"Add (2,3)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,47],[0,4,48],[0,5,97],[1,2,95],[1,3,36],[1,4,97],[2,3,99],[2,4,36],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=15,(1,3)=36,(2,4)=36,(0,2)=47,(0,4)=48,(0,1)=60,(1,2)=95,(0,5)=97,(1,4)=97,(2,3)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=51\",\"Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=87\",\"Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=134\",\"Find(0)=2, Find(4)=2, Add (0,4)=48 Failed, w=134\",\"Find(0)=2, Find(1)=1, Add (0,1)=60 Succeeded, w=194\",\"Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=194\",\"Find(0)=2, Find(5)=2, Add (0,5)=97 Failed, w=194\",\"Find(1)=2, Find(4)=2, Add (1,4)=97 Failed, w=194\",\"Find(2)=2, Find(3)=2, Add (2,3)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,47],[0,4,48],[0,5,97],[1,2,95],[1,3,36],[1,4,97],[2,3,99],[2,4,36],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=15,(1,3)=36,(2,4)=36,(0,2)=47,(0,4)=48,(0,1)=60,(1,2)=95,(0,5)=97,(1,4)=97,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=87\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=134\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=48 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=60 Succeeded, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=97 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=97 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,3,17],[0,4,58],[0,5,37],[0,6,10],[1,2,26],[1,3,36],[1,4,58],[1,5,55],[1,6,56],[2,4,47],[2,6,24],[3,4,0],[3,5,46],[3,6,18],[4,6,8],[5,6,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,3,17],[0,4,58],[0,5,37],[0,6,10],[1,2,26],[1,3,36],[1,4,58],[1,5,55],[1,6,56],[2,4,47],[2,6,24],[3,4,0],[3,5,46],[3,6,18],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,3,17],[0,4,58],[0,5,37],[0,6,10],[1,2,26],[1,3,36],[1,4,58],[1,5,55],[1,6,56],[2,4,47],[2,6,24],[3,4,0],[3,5,46],[3,6,18],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (5,6)\",\"Add (1,2)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,3,17],[0,4,58],[0,5,37],[0,6,10],[1,2,26],[1,3,36],[1,4,58],[1,5,55],[1,6,56],[2,4,47],[2,6,24],[3,4,0],[3,5,46],[3,6,18],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (4,6)=8, w=8\",\"Add (0,6)=10, w=18\",\"Add (2,6)=24, w=42\",\"Add (5,6)=24, w=66\",\"Add (1,2)=26, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,3,17],[0,4,58],[0,5,37],[0,6,10],[1,2,26],[1,3,36],[1,4,58],[1,5,55],[1,6,56],[2,4,47],[2,6,24],[3,4,0],[3,5,46],[3,6,18],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (4,6)=8 Succeeded, w=8\",\"Add (0,6)=10 Succeeded, w=18\",\"Add (0,3)=17 Failed, w=18\",\"Add (3,6)=18 Failed, w=18\",\"Add (2,6)=24 Succeeded, w=42\",\"Add (5,6)=24 Succeeded, w=66\",\"Add (1,2)=26 Succeeded, w=92\",\"Add (1,3)=36 Failed, w=92\",\"Add (0,5)=37 Failed, w=92\",\"Add (3,5)=46 Failed, w=92\",\"Add (2,4)=47 Failed, w=92\",\"Add (1,5)=55 Failed, w=92\",\"Add (1,6)=56 Failed, w=92\",\"Add (0,4)=58 Failed, w=92\",\"Add (1,4)=58 Failed, w=92\",\"Add (0,1)=95 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,3,17],[0,4,58],[0,5,37],[0,6,10],[1,2,26],[1,3,36],[1,4,58],[1,5,55],[1,6,56],[2,4,47],[2,6,24],[3,4,0],[3,5,46],[3,6,18],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(4,6)=8,(0,6)=10,(0,3)=17,(3,6)=18,(2,6)=24,(5,6)=24,(1,2)=26,(1,3)=36,(0,5)=37,(3,5)=46,(2,4)=47,(1,5)=55,(1,6)=56,(0,4)=58,(1,4)=58,(0,1)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(4)=3, Find(6)=6, Add (4,6)=8 Succeeded, w=8\",\"Find(0)=0, Find(6)=3, Add (0,6)=10 Succeeded, w=18\",\"Find(0)=3, Find(3)=3, Add (0,3)=17 Failed, w=18\",\"Find(3)=3, Find(6)=3, Add (3,6)=18 Failed, w=18\",\"Find(2)=2, Find(6)=3, Add (2,6)=24 Succeeded, w=42\",\"Find(5)=5, Find(6)=3, Add (5,6)=24 Succeeded, w=66\",\"Find(1)=1, Find(2)=3, Add (1,2)=26 Succeeded, w=92\",\"Find(1)=3, Find(3)=3, Add (1,3)=36 Failed, w=92\",\"Find(0)=3, Find(5)=3, Add (0,5)=37 Failed, w=92\",\"Find(3)=3, Find(5)=3, Add (3,5)=46 Failed, w=92\",\"Find(2)=3, Find(4)=3, Add (2,4)=47 Failed, w=92\",\"Find(1)=3, Find(5)=3, Add (1,5)=55 Failed, w=92\",\"Find(1)=3, Find(6)=3, Add (1,6)=56 Failed, w=92\",\"Find(0)=3, Find(4)=3, Add (0,4)=58 Failed, w=92\",\"Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=92\",\"Find(0)=3, Find(1)=3, Add (0,1)=95 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,3,17],[0,4,58],[0,5,37],[0,6,10],[1,2,26],[1,3,36],[1,4,58],[1,5,55],[1,6,56],[2,4,47],[2,6,24],[3,4,0],[3,5,46],[3,6,18],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(4,6)=8,(0,6)=10,(0,3)=17,(3,6)=18,(2,6)=24,(5,6)=24,(1,2)=26,(1,3)=36,(0,5)=37,(3,5)=46,(2,4)=47,(1,5)=55,(1,6)=56,(0,4)=58,(1,4)=58,(0,1)=95]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=8 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=10 Succeeded, w=18\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=17 Failed, w=18\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=18 Failed, w=18\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=24 Succeeded, w=42\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=24 Succeeded, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(2)=3, Add (1,2)=26 Succeeded, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=36 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=37 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=46 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=47 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=55 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=56 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=58 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=95 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,56],[0,2,7],[1,2,92],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,7],[1,2,92],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,7],[1,2,92],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,7],[1,2,92],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (2,3)=11, w=18\",\"Add (0,1)=56, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,7],[1,2,92],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (2,3)=11 Succeeded, w=18\",\"Add (0,1)=56 Succeeded, w=74\",\"Add (1,2)=92 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,7],[1,2,92],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,3)=11,(0,1)=56,(1,2)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(2)=0, Find(3)=3, Add (2,3)=11 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,7],[1,2,92],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,3)=11,(0,1)=56,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,2,46],[0,3,80],[0,4,40],[0,5,38],[1,2,3],[1,3,91],[1,4,54],[1,5,36],[2,3,58],[2,5,95],[3,4,96],[3,5,40],[4,5,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,46],[0,3,80],[0,4,40],[0,5,38],[1,2,3],[1,3,91],[1,4,54],[1,5,36],[2,3,58],[2,5,95],[3,4,96],[3,5,40],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,46],[0,3,80],[0,4,40],[0,5,38],[1,2,3],[1,3,91],[1,4,54],[1,5,36],[2,3,58],[2,5,95],[3,4,96],[3,5,40],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (3,5)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,46],[0,3,80],[0,4,40],[0,5,38],[1,2,3],[1,3,91],[1,4,54],[1,5,36],[2,3,58],[2,5,95],[3,4,96],[3,5,40],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (4,5)=4, w=7\",\"Add (0,1)=6, w=13\",\"Add (1,5)=36, w=49\",\"Add (3,5)=40, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,46],[0,3,80],[0,4,40],[0,5,38],[1,2,3],[1,3,91],[1,4,54],[1,5,36],[2,3,58],[2,5,95],[3,4,96],[3,5,40],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (4,5)=4 Succeeded, w=7\",\"Add (0,1)=6 Succeeded, w=13\",\"Add (1,5)=36 Succeeded, w=49\",\"Add (0,5)=38 Failed, w=49\",\"Add (0,4)=40 Failed, w=49\",\"Add (3,5)=40 Succeeded, w=89\",\"Add (0,2)=46 Failed, w=89\",\"Add (1,4)=54 Failed, w=89\",\"Add (2,3)=58 Failed, w=89\",\"Add (0,3)=80 Failed, w=89\",\"Add (1,3)=91 Failed, w=89\",\"Add (2,5)=95 Failed, w=89\",\"Add (3,4)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,46],[0,3,80],[0,4,40],[0,5,38],[1,2,3],[1,3,91],[1,4,54],[1,5,36],[2,3,58],[2,5,95],[3,4,96],[3,5,40],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(4,5)=4,(0,1)=6,(1,5)=36,(0,5)=38,(0,4)=40,(3,5)=40,(0,2)=46,(1,4)=54,(2,3)=58,(0,3)=80,(1,3)=91,(2,5)=95,(3,4)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=13\",\"Find(1)=1, Find(5)=4, Add (1,5)=36 Succeeded, w=49\",\"Find(0)=1, Find(5)=1, Add (0,5)=38 Failed, w=49\",\"Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=49\",\"Find(3)=3, Find(5)=1, Add (3,5)=40 Succeeded, w=89\",\"Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=89\",\"Find(1)=1, Find(4)=1, Add (1,4)=54 Failed, w=89\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=89\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=89\",\"Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=89\",\"Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=89\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,46],[0,3,80],[0,4,40],[0,5,38],[1,2,3],[1,3,91],[1,4,54],[1,5,36],[2,3,58],[2,5,95],[3,4,96],[3,5,40],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(4,5)=4,(0,1)=6,(1,5)=36,(0,5)=38,(0,4)=40,(3,5)=40,(0,2)=46,(1,4)=54,(2,3)=58,(0,3)=80,(1,3)=91,(2,5)=95,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=36 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=38 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=40 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=54 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,2,92],[0,4,64],[0,5,17],[0,6,8],[1,2,1],[1,3,13],[1,4,21],[1,5,96],[1,6,82],[1,7,65],[2,3,32],[2,4,83],[2,5,20],[2,6,50],[2,7,56],[3,4,89],[3,5,70],[3,6,48],[3,7,38],[4,5,6],[4,6,14],[4,7,80],[5,7,75],[6,7,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,92],[0,4,64],[0,5,17],[0,6,8],[1,2,1],[1,3,13],[1,4,21],[1,5,96],[1,6,82],[1,7,65],[2,3,32],[2,4,83],[2,5,20],[2,6,50],[2,7,56],[3,4,89],[3,5,70],[3,6,48],[3,7,38],[4,5,6],[4,6,14],[4,7,80],[5,7,75],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,92],[0,4,64],[0,5,17],[0,6,8],[1,2,1],[1,3,13],[1,4,21],[1,5,96],[1,6,82],[1,7,65],[2,3,32],[2,4,83],[2,5,20],[2,6,50],[2,7,56],[3,4,89],[3,5,70],[3,6,48],[3,7,38],[4,5,6],[4,6,14],[4,7,80],[5,7,75],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (3,7)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,92],[0,4,64],[0,5,17],[0,6,8],[1,2,1],[1,3,13],[1,4,21],[1,5,96],[1,6,82],[1,7,65],[2,3,32],[2,4,83],[2,5,20],[2,6,50],[2,7,56],[3,4,89],[3,5,70],[3,6,48],[3,7,38],[4,5,6],[4,6,14],[4,7,80],[5,7,75],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (4,5)=6, w=7\",\"Add (0,6)=8, w=15\",\"Add (1,3)=13, w=28\",\"Add (4,6)=14, w=42\",\"Add (2,5)=20, w=62\",\"Add (3,7)=38, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,92],[0,4,64],[0,5,17],[0,6,8],[1,2,1],[1,3,13],[1,4,21],[1,5,96],[1,6,82],[1,7,65],[2,3,32],[2,4,83],[2,5,20],[2,6,50],[2,7,56],[3,4,89],[3,5,70],[3,6,48],[3,7,38],[4,5,6],[4,6,14],[4,7,80],[5,7,75],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (4,5)=6 Succeeded, w=7\",\"Add (0,6)=8 Succeeded, w=15\",\"Add (1,3)=13 Succeeded, w=28\",\"Add (4,6)=14 Succeeded, w=42\",\"Add (0,5)=17 Failed, w=42\",\"Add (2,5)=20 Succeeded, w=62\",\"Add (1,4)=21 Failed, w=62\",\"Add (2,3)=32 Failed, w=62\",\"Add (3,7)=38 Succeeded, w=100\",\"Add (3,6)=48 Failed, w=100\",\"Add (2,6)=50 Failed, w=100\",\"Add (2,7)=56 Failed, w=100\",\"Add (0,4)=64 Failed, w=100\",\"Add (1,7)=65 Failed, w=100\",\"Add (3,5)=70 Failed, w=100\",\"Add (0,1)=75 Failed, w=100\",\"Add (5,7)=75 Failed, w=100\",\"Add (6,7)=78 Failed, w=100\",\"Add (4,7)=80 Failed, w=100\",\"Add (1,6)=82 Failed, w=100\",\"Add (2,4)=83 Failed, w=100\",\"Add (3,4)=89 Failed, w=100\",\"Add (0,2)=92 Failed, w=100\",\"Add (1,5)=96 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,92],[0,4,64],[0,5,17],[0,6,8],[1,2,1],[1,3,13],[1,4,21],[1,5,96],[1,6,82],[1,7,65],[2,3,32],[2,4,83],[2,5,20],[2,6,50],[2,7,56],[3,4,89],[3,5,70],[3,6,48],[3,7,38],[4,5,6],[4,6,14],[4,7,80],[5,7,75],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(4,5)=6,(0,6)=8,(1,3)=13,(4,6)=14,(0,5)=17,(2,5)=20,(1,4)=21,(2,3)=32,(3,7)=38,(3,6)=48,(2,6)=50,(2,7)=56,(0,4)=64,(1,7)=65,(3,5)=70,(0,1)=75,(5,7)=75,(6,7)=78,(4,7)=80,(1,6)=82,(2,4)=83,(3,4)=89,(0,2)=92,(1,5)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=28\",\"Find(4)=4, Find(6)=0, Add (4,6)=14 Succeeded, w=42\",\"Find(0)=4, Find(5)=4, Add (0,5)=17 Failed, w=42\",\"Find(2)=1, Find(5)=4, Add (2,5)=20 Succeeded, w=62\",\"Find(1)=4, Find(4)=4, Add (1,4)=21 Failed, w=62\",\"Find(2)=4, Find(3)=4, Add (2,3)=32 Failed, w=62\",\"Find(3)=4, Find(7)=7, Add (3,7)=38 Succeeded, w=100\",\"Find(3)=4, Find(6)=4, Add (3,6)=48 Failed, w=100\",\"Find(2)=4, Find(6)=4, Add (2,6)=50 Failed, w=100\",\"Find(2)=4, Find(7)=4, Add (2,7)=56 Failed, w=100\",\"Find(0)=4, Find(4)=4, Add (0,4)=64 Failed, w=100\",\"Find(1)=4, Find(7)=4, Add (1,7)=65 Failed, w=100\",\"Find(3)=4, Find(5)=4, Add (3,5)=70 Failed, w=100\",\"Find(0)=4, Find(1)=4, Add (0,1)=75 Failed, w=100\",\"Find(5)=4, Find(7)=4, Add (5,7)=75 Failed, w=100\",\"Find(6)=4, Find(7)=4, Add (6,7)=78 Failed, w=100\",\"Find(4)=4, Find(7)=4, Add (4,7)=80 Failed, w=100\",\"Find(1)=4, Find(6)=4, Add (1,6)=82 Failed, w=100\",\"Find(2)=4, Find(4)=4, Add (2,4)=83 Failed, w=100\",\"Find(3)=4, Find(4)=4, Add (3,4)=89 Failed, w=100\",\"Find(0)=4, Find(2)=4, Add (0,2)=92 Failed, w=100\",\"Find(1)=4, Find(5)=4, Add (1,5)=96 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,92],[0,4,64],[0,5,17],[0,6,8],[1,2,1],[1,3,13],[1,4,21],[1,5,96],[1,6,82],[1,7,65],[2,3,32],[2,4,83],[2,5,20],[2,6,50],[2,7,56],[3,4,89],[3,5,70],[3,6,48],[3,7,38],[4,5,6],[4,6,14],[4,7,80],[5,7,75],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(4,5)=6,(0,6)=8,(1,3)=13,(4,6)=14,(0,5)=17,(2,5)=20,(1,4)=21,(2,3)=32,(3,7)=38,(3,6)=48,(2,6)=50,(2,7)=56,(0,4)=64,(1,7)=65,(3,5)=70,(0,1)=75,(5,7)=75,(6,7)=78,(4,7)=80,(1,6)=82,(2,4)=83,(3,4)=89,(0,2)=92,(1,5)=96]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=28\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0, 7: 7}, Find(4)=4, Find(6)=0, Add (4,6)=14 Succeeded, w=42\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0, 7: 7}, Find(0)=4, Find(5)=4, Add (0,5)=17 Failed, w=42\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0, 7: 7}, Find(2)=1, Find(5)=4, Add (2,5)=20 Succeeded, w=62\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0, 7: 7}, Find(1)=4, Find(4)=4, Add (1,4)=21 Failed, w=62\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 7}, Find(2)=4, Find(3)=4, Add (2,3)=32 Failed, w=62\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 4}, Find(3)=4, Find(7)=7, Add (3,7)=38 Succeeded, w=100\",\"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)=48 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=50 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=56 Failed, w=100\",\"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)=64 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=65 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=70 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=75 Failed, w=100\",\"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)=75 Failed, w=100\",\"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)=78 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=80 Failed, w=100\",\"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)=82 Failed, w=100\",\"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)=83 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=89 Failed, w=100\",\"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)=92 Failed, w=100\",\"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)=96 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,13],[0,4,2],[0,5,54],[0,6,61],[1,4,95],[1,5,51],[1,6,63],[2,3,53],[2,4,32],[2,5,0],[3,4,3],[4,5,20],[4,6,74],[5,6,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,13],[0,4,2],[0,5,54],[0,6,61],[1,4,95],[1,5,51],[1,6,63],[2,3,53],[2,4,32],[2,5,0],[3,4,3],[4,5,20],[4,6,74],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,13],[0,4,2],[0,5,54],[0,6,61],[1,4,95],[1,5,51],[1,6,63],[2,3,53],[2,4,32],[2,5,0],[3,4,3],[4,5,20],[4,6,74],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":74}",
"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],[0,2,13],[0,4,2],[0,5,54],[0,6,61],[1,4,95],[1,5,51],[1,6,63],[2,3,53],[2,4,32],[2,5,0],[3,4,3],[4,5,20],[4,6,74],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (0,4)=2, w=2\",\"Add (3,4)=3, w=5\",\"Add (5,6)=5, w=10\",\"Add (0,2)=13, w=23\",\"Add (1,5)=51, w=74\"],\"Answer\":74}",
"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],[0,2,13],[0,4,2],[0,5,54],[0,6,61],[1,4,95],[1,5,51],[1,6,63],[2,3,53],[2,4,32],[2,5,0],[3,4,3],[4,5,20],[4,6,74],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,4)=3 Succeeded, w=5\",\"Add (5,6)=5 Succeeded, w=10\",\"Add (0,2)=13 Succeeded, w=23\",\"Add (4,5)=20 Failed, w=23\",\"Add (2,4)=32 Failed, w=23\",\"Add (1,5)=51 Succeeded, w=74\",\"Add (2,3)=53 Failed, w=74\",\"Add (0,5)=54 Failed, w=74\",\"Add (0,6)=61 Failed, w=74\",\"Add (1,6)=63 Failed, w=74\",\"Add (4,6)=74 Failed, w=74\",\"Add (0,1)=94 Failed, w=74\",\"Add (1,4)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,13],[0,4,2],[0,5,54],[0,6,61],[1,4,95],[1,5,51],[1,6,63],[2,3,53],[2,4,32],[2,5,0],[3,4,3],[4,5,20],[4,6,74],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,4)=2,(3,4)=3,(5,6)=5,(0,2)=13,(4,5)=20,(2,4)=32,(1,5)=51,(2,3)=53,(0,5)=54,(0,6)=61,(1,6)=63,(4,6)=74,(0,1)=94,(1,4)=95]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=0, Add (3,4)=3 Succeeded, w=5\",\"Find(5)=2, Find(6)=6, Add (5,6)=5 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=23\",\"Find(4)=0, Find(5)=0, Add (4,5)=20 Failed, w=23\",\"Find(2)=0, Find(4)=0, Add (2,4)=32 Failed, w=23\",\"Find(1)=1, Find(5)=0, Add (1,5)=51 Succeeded, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=74\",\"Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=74\",\"Find(0)=0, Find(6)=0, Add (0,6)=61 Failed, w=74\",\"Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=74\",\"Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=74\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,13],[0,4,2],[0,5,54],[0,6,61],[1,4,95],[1,5,51],[1,6,63],[2,3,53],[2,4,32],[2,5,0],[3,4,3],[4,5,20],[4,6,74],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,4)=2,(3,4)=3,(5,6)=5,(0,2)=13,(4,5)=20,(2,4)=32,(1,5)=51,(2,3)=53,(0,5)=54,(0,6)=61,(1,6)=63,(4,6)=74,(0,1)=94,(1,4)=95]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(4)=0, Find(5)=0, Add (4,5)=20 Failed, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(4)=0, Add (2,4)=32 Failed, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=1, Find(5)=0, Add (1,5)=51 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=61 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,97],[0,5,40],[1,3,60],[1,5,11],[1,7,34],[2,3,49],[2,4,73],[2,6,30],[2,7,19],[3,6,44],[3,7,80],[4,5,64],[4,6,99],[4,7,82],[5,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,40],[1,3,60],[1,5,11],[1,7,34],[2,3,49],[2,4,73],[2,6,30],[2,7,19],[3,6,44],[3,7,80],[4,5,64],[4,6,99],[4,7,82],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,40],[1,3,60],[1,5,11],[1,7,34],[2,3,49],[2,4,73],[2,6,30],[2,7,19],[3,6,44],[3,7,80],[4,5,64],[4,6,99],[4,7,82],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,7)\",\"Add (2,6)\",\"Add (1,7)\",\"Add (0,5)\",\"Add (3,6)\",\"Add (4,5)\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,40],[1,3,60],[1,5,11],[1,7,34],[2,3,49],[2,4,73],[2,6,30],[2,7,19],[3,6,44],[3,7,80],[4,5,64],[4,6,99],[4,7,82],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11, w=11\",\"Add (2,7)=19, w=30\",\"Add (2,6)=30, w=60\",\"Add (1,7)=34, w=94\",\"Add (0,5)=40, w=134\",\"Add (3,6)=44, w=178\",\"Add (4,5)=64, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,40],[1,3,60],[1,5,11],[1,7,34],[2,3,49],[2,4,73],[2,6,30],[2,7,19],[3,6,44],[3,7,80],[4,5,64],[4,6,99],[4,7,82],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11 Succeeded, w=11\",\"Add (2,7)=19 Succeeded, w=30\",\"Add (2,6)=30 Succeeded, w=60\",\"Add (1,7)=34 Succeeded, w=94\",\"Add (0,5)=40 Succeeded, w=134\",\"Add (3,6)=44 Succeeded, w=178\",\"Add (2,3)=49 Failed, w=178\",\"Add (5,6)=58 Failed, w=178\",\"Add (1,3)=60 Failed, w=178\",\"Add (4,5)=64 Succeeded, w=242\",\"Add (2,4)=73 Failed, w=242\",\"Add (3,7)=80 Failed, w=242\",\"Add (4,7)=82 Failed, w=242\",\"Add (0,1)=97 Failed, w=242\",\"Add (4,6)=99 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,40],[1,3,60],[1,5,11],[1,7,34],[2,3,49],[2,4,73],[2,6,30],[2,7,19],[3,6,44],[3,7,80],[4,5,64],[4,6,99],[4,7,82],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(2,7)=19,(2,6)=30,(1,7)=34,(0,5)=40,(3,6)=44,(2,3)=49,(5,6)=58,(1,3)=60,(4,5)=64,(2,4)=73,(3,7)=80,(4,7)=82,(0,1)=97,(4,6)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Find(2)=2, Find(7)=7, Add (2,7)=19 Succeeded, w=30\",\"Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=60\",\"Find(1)=1, Find(7)=2, Add (1,7)=34 Succeeded, w=94\",\"Find(0)=0, Find(5)=1, Add (0,5)=40 Succeeded, w=134\",\"Find(3)=3, Find(6)=1, Add (3,6)=44 Succeeded, w=178\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=178\",\"Find(5)=1, Find(6)=1, Add (5,6)=58 Failed, w=178\",\"Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=178\",\"Find(4)=4, Find(5)=1, Add (4,5)=64 Succeeded, w=242\",\"Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=242\",\"Find(3)=1, Find(7)=1, Add (3,7)=80 Failed, w=242\",\"Find(4)=1, Find(7)=1, Add (4,7)=82 Failed, w=242\",\"Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=242\",\"Find(4)=1, Find(6)=1, Add (4,6)=99 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,40],[1,3,60],[1,5,11],[1,7,34],[2,3,49],[2,4,73],[2,6,30],[2,7,19],[3,6,44],[3,7,80],[4,5,64],[4,6,99],[4,7,82],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(2,7)=19,(2,6)=30,(1,7)=34,(0,5)=40,(3,6)=44,(2,3)=49,(5,6)=58,(1,3)=60,(4,5)=64,(2,4)=73,(3,7)=80,(4,7)=82,(0,1)=97,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2, 7: 2}, Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 2, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=34 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 2, 7: 2}, Find(0)=0, Find(5)=1, Add (0,5)=40 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 2}, Find(3)=3, Find(6)=1, Add (3,6)=44 Succeeded, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 2}, Find(5)=1, Find(6)=1, Add (5,6)=58 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 2}, Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(4)=4, Find(5)=1, Add (4,5)=64 Succeeded, w=242\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=242\",\"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)=80 Failed, w=242\",\"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)=82 Failed, w=242\",\"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)=97 Failed, w=242\",\"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)=99 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,2,99],[0,3,99],[0,4,76],[1,2,83],[1,3,95],[1,4,64],[2,3,22],[2,4,9],[3,4,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,99],[0,3,99],[0,4,76],[1,2,83],[1,3,95],[1,4,64],[2,3,22],[2,4,9],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,99],[0,3,99],[0,4,76],[1,2,83],[1,3,95],[1,4,64],[2,3,22],[2,4,9],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,99],[0,3,99],[0,4,76],[1,2,83],[1,3,95],[1,4,64],[2,3,22],[2,4,9],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9, w=9\",\"Add (2,3)=22, w=31\",\"Add (0,1)=49, w=80\",\"Add (1,4)=64, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,99],[0,3,99],[0,4,76],[1,2,83],[1,3,95],[1,4,64],[2,3,22],[2,4,9],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9 Succeeded, w=9\",\"Add (2,3)=22 Succeeded, w=31\",\"Add (0,1)=49 Succeeded, w=80\",\"Add (1,4)=64 Succeeded, w=144\",\"Add (0,4)=76 Failed, w=144\",\"Add (3,4)=78 Failed, w=144\",\"Add (1,2)=83 Failed, w=144\",\"Add (1,3)=95 Failed, w=144\",\"Add (0,2)=99 Failed, w=144\",\"Add (0,3)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,99],[0,3,99],[0,4,76],[1,2,83],[1,3,95],[1,4,64],[2,3,22],[2,4,9],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(2,3)=22,(0,1)=49,(1,4)=64,(0,4)=76,(3,4)=78,(1,2)=83,(1,3)=95,(0,2)=99,(0,3)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=31\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=80\",\"Find(1)=0, Find(4)=2, Add (1,4)=64 Succeeded, w=144\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=144\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=144\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=144\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=144\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,99],[0,3,99],[0,4,76],[1,2,83],[1,3,95],[1,4,64],[2,3,22],[2,4,9],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(2,3)=22,(0,1)=49,(1,4)=64,(0,4)=76,(3,4)=78,(1,2)=83,(1,3)=95,(0,2)=99,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=64 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,62],[1,2,2],[1,4,81],[1,7,46],[2,4,38],[3,5,19],[3,7,39],[4,5,79],[4,6,54],[5,7,98],[6,7,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,62],[1,2,2],[1,4,81],[1,7,46],[2,4,38],[3,5,19],[3,7,39],[4,5,79],[4,6,54],[5,7,98],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":260}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,62],[1,2,2],[1,4,81],[1,7,46],[2,4,38],[3,5,19],[3,7,39],[4,5,79],[4,6,54],[5,7,98],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (3,7)\",\"Add (1,7)\",\"Add (4,6)\",\"Add (0,2)\"],\"Answer\":260}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,62],[1,2,2],[1,4,81],[1,7,46],[2,4,38],[3,5,19],[3,7,39],[4,5,79],[4,6,54],[5,7,98],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (3,5)=19, w=21\",\"Add (2,4)=38, w=59\",\"Add (3,7)=39, w=98\",\"Add (1,7)=46, w=144\",\"Add (4,6)=54, w=198\",\"Add (0,2)=62, w=260\"],\"Answer\":260}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,62],[1,2,2],[1,4,81],[1,7,46],[2,4,38],[3,5,19],[3,7,39],[4,5,79],[4,6,54],[5,7,98],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (3,5)=19 Succeeded, w=21\",\"Add (2,4)=38 Succeeded, w=59\",\"Add (3,7)=39 Succeeded, w=98\",\"Add (1,7)=46 Succeeded, w=144\",\"Add (4,6)=54 Succeeded, w=198\",\"Add (0,2)=62 Succeeded, w=260\",\"Add (4,5)=79 Failed, w=260\",\"Add (1,4)=81 Failed, w=260\",\"Add (6,7)=91 Failed, w=260\",\"Add (5,7)=98 Failed, w=260\"],\"Answer\":260}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,62],[1,2,2],[1,4,81],[1,7,46],[2,4,38],[3,5,19],[3,7,39],[4,5,79],[4,6,54],[5,7,98],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(3,5)=19,(2,4)=38,(3,7)=39,(1,7)=46,(4,6)=54,(0,2)=62,(4,5)=79,(1,4)=81,(6,7)=91,(5,7)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=21\",\"Find(2)=1, Find(4)=4, Add (2,4)=38 Succeeded, w=59\",\"Find(3)=3, Find(7)=7, Add (3,7)=39 Succeeded, w=98\",\"Find(1)=1, Find(7)=3, Add (1,7)=46 Succeeded, w=144\",\"Find(4)=1, Find(6)=6, Add (4,6)=54 Succeeded, w=198\",\"Find(0)=0, Find(2)=1, Add (0,2)=62 Succeeded, w=260\",\"Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=260\",\"Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=260\",\"Find(6)=1, Find(7)=1, Add (6,7)=91 Failed, w=260\",\"Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=260\"],\"Answer\":260}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,62],[1,2,2],[1,4,81],[1,7,46],[2,4,38],[3,5,19],[3,7,39],[4,5,79],[4,6,54],[5,7,98],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(3,5)=19,(2,4)=38,(3,7)=39,(1,7)=46,(4,6)=54,(0,2)=62,(4,5)=79,(1,4)=81,(6,7)=91,(5,7)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 6, 7: 7}, Find(2)=1, Find(4)=4, Add (2,4)=38 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=39 Succeeded, w=98\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 6, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=46 Succeeded, w=144\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 3}, Find(4)=1, Find(6)=6, Add (4,6)=54 Succeeded, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 3}, Find(0)=0, Find(2)=1, Add (0,2)=62 Succeeded, w=260\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=260\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=260\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=91 Failed, w=260\",\"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=260\"],\"Answer\":260}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,16],[0,3,1],[1,3,54],[2,3,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,1],[1,3,54],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,1],[1,3,54],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,1],[1,3,54],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (2,3)=6, w=7\",\"Add (0,1)=16, w=23\"],\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,1],[1,3,54],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (2,3)=6 Succeeded, w=7\",\"Add (0,1)=16 Succeeded, w=23\",\"Add (1,3)=54 Failed, w=23\"],\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,1],[1,3,54],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,3)=6,(0,1)=16,(1,3)=54]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=0, Add (2,3)=6 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=23\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=23\"],\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,1],[1,3,54],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,3)=6,(0,1)=16,(1,3)=54]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=23\"],\"Answer\":23}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,28],[1,4,46],[2,3,46],[2,4,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[1,4,46],[2,3,46],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[1,4,46],[2,3,46],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[1,4,46],[2,3,46],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=28, w=28\",\"Add (2,4)=37, w=65\",\"Add (1,4)=46, w=111\",\"Add (2,3)=46, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[1,4,46],[2,3,46],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=28 Succeeded, w=28\",\"Add (2,4)=37 Succeeded, w=65\",\"Add (1,4)=46 Succeeded, w=111\",\"Add (2,3)=46 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[1,4,46],[2,3,46],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=28,(2,4)=37,(1,4)=46,(2,3)=46]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=28\",\"Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=65\",\"Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=111\",\"Find(2)=0, Find(3)=3, Add (2,3)=46 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[1,4,46],[2,3,46],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=28,(2,4)=37,(1,4)=46,(2,3)=46]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=46 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,2,21],[0,3,28],[0,4,73],[1,3,8],[1,4,87],[2,4,47],[3,4,88],[3,5,98],[4,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,21],[0,3,28],[0,4,73],[1,3,8],[1,4,87],[2,4,47],[3,4,88],[3,5,98],[4,5,73]]}",
"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],\"edges\":[[0,1,95],[0,2,21],[0,3,28],[0,4,73],[1,3,8],[1,4,87],[2,4,47],[3,4,88],[3,5,98],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (4,5)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,21],[0,3,28],[0,4,73],[1,3,8],[1,4,87],[2,4,47],[3,4,88],[3,5,98],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8, w=8\",\"Add (0,2)=21, w=29\",\"Add (0,3)=28, w=57\",\"Add (2,4)=47, w=104\",\"Add (4,5)=73, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,21],[0,3,28],[0,4,73],[1,3,8],[1,4,87],[2,4,47],[3,4,88],[3,5,98],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8 Succeeded, w=8\",\"Add (0,2)=21 Succeeded, w=29\",\"Add (0,3)=28 Succeeded, w=57\",\"Add (2,4)=47 Succeeded, w=104\",\"Add (0,4)=73 Failed, w=104\",\"Add (4,5)=73 Succeeded, w=177\",\"Add (1,4)=87 Failed, w=177\",\"Add (3,4)=88 Failed, w=177\",\"Add (0,1)=95 Failed, w=177\",\"Add (3,5)=98 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],\"edges\":[[0,1,95],[0,2,21],[0,3,28],[0,4,73],[1,3,8],[1,4,87],[2,4,47],[3,4,88],[3,5,98],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(0,2)=21,(0,3)=28,(2,4)=47,(0,4)=73,(4,5)=73,(1,4)=87,(3,4)=88,(0,1)=95,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=29\",\"Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=57\",\"Find(2)=0, Find(4)=4, Add (2,4)=47 Succeeded, w=104\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=104\",\"Find(4)=0, Find(5)=5, Add (4,5)=73 Succeeded, w=177\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=177\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=177\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=177\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 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],\"edges\":[[0,1,95],[0,2,21],[0,3,28],[0,4,73],[1,3,8],[1,4,87],[2,4,47],[3,4,88],[3,5,98],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(0,2)=21,(0,3)=28,(2,4)=47,(0,4)=73,(4,5)=73,(1,4)=87,(3,4)=88,(0,1)=95,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5}, Find(2)=0, Find(4)=4, Add (2,4)=47 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=73 Succeeded, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,2,66],[0,4,0],[0,6,24],[0,7,98],[1,2,18],[1,3,5],[1,4,14],[1,5,46],[1,6,56],[1,7,91],[2,3,87],[2,4,3],[2,5,96],[2,6,78],[2,7,37],[3,5,25],[3,6,56],[4,5,93],[4,6,87],[4,7,42],[5,6,4],[5,7,83],[6,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,66],[0,4,0],[0,6,24],[0,7,98],[1,2,18],[1,3,5],[1,4,14],[1,5,46],[1,6,56],[1,7,91],[2,3,87],[2,4,3],[2,5,96],[2,6,78],[2,7,37],[3,5,25],[3,6,56],[4,5,93],[4,6,87],[4,7,42],[5,6,4],[5,7,83],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,66],[0,4,0],[0,6,24],[0,7,98],[1,2,18],[1,3,5],[1,4,14],[1,5,46],[1,6,56],[1,7,91],[2,3,87],[2,4,3],[2,5,96],[2,6,78],[2,7,37],[3,5,25],[3,6,56],[4,5,93],[4,6,87],[4,7,42],[5,6,4],[5,7,83],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (2,7)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,66],[0,4,0],[0,6,24],[0,7,98],[1,2,18],[1,3,5],[1,4,14],[1,5,46],[1,6,56],[1,7,91],[2,3,87],[2,4,3],[2,5,96],[2,6,78],[2,7,37],[3,5,25],[3,6,56],[4,5,93],[4,6,87],[4,7,42],[5,6,4],[5,7,83],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (2,4)=3, w=3\",\"Add (5,6)=4, w=7\",\"Add (1,3)=5, w=12\",\"Add (1,4)=14, w=26\",\"Add (0,6)=24, w=50\",\"Add (2,7)=37, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,66],[0,4,0],[0,6,24],[0,7,98],[1,2,18],[1,3,5],[1,4,14],[1,5,46],[1,6,56],[1,7,91],[2,3,87],[2,4,3],[2,5,96],[2,6,78],[2,7,37],[3,5,25],[3,6,56],[4,5,93],[4,6,87],[4,7,42],[5,6,4],[5,7,83],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (2,4)=3 Succeeded, w=3\",\"Add (5,6)=4 Succeeded, w=7\",\"Add (1,3)=5 Succeeded, w=12\",\"Add (1,4)=14 Succeeded, w=26\",\"Add (1,2)=18 Failed, w=26\",\"Add (0,6)=24 Succeeded, w=50\",\"Add (3,5)=25 Failed, w=50\",\"Add (2,7)=37 Succeeded, w=87\",\"Add (4,7)=42 Failed, w=87\",\"Add (1,5)=46 Failed, w=87\",\"Add (6,7)=52 Failed, w=87\",\"Add (1,6)=56 Failed, w=87\",\"Add (3,6)=56 Failed, w=87\",\"Add (0,1)=58 Failed, w=87\",\"Add (0,2)=66 Failed, w=87\",\"Add (2,6)=78 Failed, w=87\",\"Add (5,7)=83 Failed, w=87\",\"Add (2,3)=87 Failed, w=87\",\"Add (4,6)=87 Failed, w=87\",\"Add (1,7)=91 Failed, w=87\",\"Add (4,5)=93 Failed, w=87\",\"Add (2,5)=96 Failed, w=87\",\"Add (0,7)=98 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,66],[0,4,0],[0,6,24],[0,7,98],[1,2,18],[1,3,5],[1,4,14],[1,5,46],[1,6,56],[1,7,91],[2,3,87],[2,4,3],[2,5,96],[2,6,78],[2,7,37],[3,5,25],[3,6,56],[4,5,93],[4,6,87],[4,7,42],[5,6,4],[5,7,83],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,4)=3,(5,6)=4,(1,3)=5,(1,4)=14,(1,2)=18,(0,6)=24,(3,5)=25,(2,7)=37,(4,7)=42,(1,5)=46,(6,7)=52,(1,6)=56,(3,6)=56,(0,1)=58,(0,2)=66,(2,6)=78,(5,7)=83,(2,3)=87,(4,6)=87,(1,7)=91,(4,5)=93,(2,5)=96,(0,7)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=0, Add (2,4)=3 Succeeded, w=3\",\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=12\",\"Find(1)=1, Find(4)=0, Add (1,4)=14 Succeeded, w=26\",\"Find(1)=1, Find(2)=1, Add (1,2)=18 Failed, w=26\",\"Find(0)=1, Find(6)=5, Add (0,6)=24 Succeeded, w=50\",\"Find(3)=1, Find(5)=1, Add (3,5)=25 Failed, w=50\",\"Find(2)=1, Find(7)=7, Add (2,7)=37 Succeeded, w=87\",\"Find(4)=1, Find(7)=1, Add (4,7)=42 Failed, w=87\",\"Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=87\",\"Find(6)=1, Find(7)=1, Add (6,7)=52 Failed, w=87\",\"Find(1)=1, Find(6)=1, Add (1,6)=56 Failed, w=87\",\"Find(3)=1, Find(6)=1, Add (3,6)=56 Failed, w=87\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=87\",\"Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=87\",\"Find(2)=1, Find(6)=1, Add (2,6)=78 Failed, w=87\",\"Find(5)=1, Find(7)=1, Add (5,7)=83 Failed, w=87\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=87\",\"Find(4)=1, Find(6)=1, Add (4,6)=87 Failed, w=87\",\"Find(1)=1, Find(7)=1, Add (1,7)=91 Failed, w=87\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=87\",\"Find(2)=1, Find(5)=1, Add (2,5)=96 Failed, w=87\",\"Find(0)=1, Find(7)=1, Add (0,7)=98 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,66],[0,4,0],[0,6,24],[0,7,98],[1,2,18],[1,3,5],[1,4,14],[1,5,46],[1,6,56],[1,7,91],[2,3,87],[2,4,3],[2,5,96],[2,6,78],[2,7,37],[3,5,25],[3,6,56],[4,5,93],[4,6,87],[4,7,42],[5,6,4],[5,7,83],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,4)=3,(5,6)=4,(1,3)=5,(1,4)=14,(1,2)=18,(0,6)=24,(3,5)=25,(2,7)=37,(4,7)=42,(1,5)=46,(6,7)=52,(1,6)=56,(3,6)=56,(0,1)=58,(0,2)=66,(2,6)=78,(5,7)=83,(2,3)=87,(4,6)=87,(1,7)=91,(4,5)=93,(2,5)=96,(0,7)=98]\",\"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: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=14 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(2)=1, Add (1,2)=18 Failed, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5, 7: 7}, Find(0)=1, Find(6)=5, Add (0,6)=24 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5, 7: 7}, Find(3)=1, Find(5)=1, Add (3,5)=25 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5, 7: 1}, Find(2)=1, Find(7)=7, Add (2,7)=37 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=42 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=52 Failed, w=87\",\"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)=56 Failed, w=87\",\"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)=56 Failed, w=87\",\"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)=58 Failed, w=87\",\"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)=66 Failed, w=87\",\"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)=78 Failed, w=87\",\"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)=83 Failed, w=87\",\"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)=87 Failed, w=87\",\"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)=87 Failed, w=87\",\"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)=91 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=96 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=98 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,54],[0,2,30],[0,3,92],[0,4,58],[0,5,96],[1,2,83],[1,3,76],[1,4,98],[1,5,60],[2,3,94],[2,4,22],[3,4,36],[3,5,6],[4,5,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,30],[0,3,92],[0,4,58],[0,5,96],[1,2,83],[1,3,76],[1,4,98],[1,5,60],[2,3,94],[2,4,22],[3,4,36],[3,5,6],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,30],[0,3,92],[0,4,58],[0,5,96],[1,2,83],[1,3,76],[1,4,98],[1,5,60],[2,3,94],[2,4,22],[3,4,36],[3,5,6],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,30],[0,3,92],[0,4,58],[0,5,96],[1,2,83],[1,3,76],[1,4,98],[1,5,60],[2,3,94],[2,4,22],[3,4,36],[3,5,6],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6, w=6\",\"Add (2,4)=22, w=28\",\"Add (0,2)=30, w=58\",\"Add (3,4)=36, w=94\",\"Add (0,1)=54, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,30],[0,3,92],[0,4,58],[0,5,96],[1,2,83],[1,3,76],[1,4,98],[1,5,60],[2,3,94],[2,4,22],[3,4,36],[3,5,6],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6 Succeeded, w=6\",\"Add (2,4)=22 Succeeded, w=28\",\"Add (0,2)=30 Succeeded, w=58\",\"Add (3,4)=36 Succeeded, w=94\",\"Add (0,1)=54 Succeeded, w=148\",\"Add (0,4)=58 Failed, w=148\",\"Add (1,5)=60 Failed, w=148\",\"Add (4,5)=75 Failed, w=148\",\"Add (1,3)=76 Failed, w=148\",\"Add (1,2)=83 Failed, w=148\",\"Add (0,3)=92 Failed, w=148\",\"Add (2,3)=94 Failed, w=148\",\"Add (0,5)=96 Failed, w=148\",\"Add (1,4)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,30],[0,3,92],[0,4,58],[0,5,96],[1,2,83],[1,3,76],[1,4,98],[1,5,60],[2,3,94],[2,4,22],[3,4,36],[3,5,6],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(2,4)=22,(0,2)=30,(3,4)=36,(0,1)=54,(0,4)=58,(1,5)=60,(4,5)=75,(1,3)=76,(1,2)=83,(0,3)=92,(2,3)=94,(0,5)=96,(1,4)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=58\",\"Find(3)=3, Find(4)=2, Add (3,4)=36 Succeeded, w=94\",\"Find(0)=3, Find(1)=1, Add (0,1)=54 Succeeded, w=148\",\"Find(0)=3, Find(4)=3, Add (0,4)=58 Failed, w=148\",\"Find(1)=3, Find(5)=3, Add (1,5)=60 Failed, w=148\",\"Find(4)=3, Find(5)=3, Add (4,5)=75 Failed, w=148\",\"Find(1)=3, Find(3)=3, Add (1,3)=76 Failed, w=148\",\"Find(1)=3, Find(2)=3, Add (1,2)=83 Failed, w=148\",\"Find(0)=3, Find(3)=3, Add (0,3)=92 Failed, w=148\",\"Find(2)=3, Find(3)=3, Add (2,3)=94 Failed, w=148\",\"Find(0)=3, Find(5)=3, Add (0,5)=96 Failed, w=148\",\"Find(1)=3, Find(4)=3, Add (1,4)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,30],[0,3,92],[0,4,58],[0,5,96],[1,2,83],[1,3,76],[1,4,98],[1,5,60],[2,3,94],[2,4,22],[3,4,36],[3,5,6],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(2,4)=22,(0,2)=30,(3,4)=36,(0,1)=54,(0,4)=58,(1,5)=60,(4,5)=75,(1,3)=76,(1,2)=83,(0,3)=92,(2,3)=94,(0,5)=96,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=58\",\"Parent: {0: 2, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(4)=2, Add (3,4)=36 Succeeded, w=94\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(1)=1, Add (0,1)=54 Succeeded, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=58 Failed, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=60 Failed, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=75 Failed, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=76 Failed, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=83 Failed, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=92 Failed, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=94 Failed, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=96 Failed, w=148\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,75],[0,3,91],[0,4,2],[0,5,28],[0,6,92],[0,7,36],[1,2,50],[1,3,36],[1,4,29],[1,5,23],[1,6,60],[2,3,18],[2,4,20],[2,6,24],[3,4,92],[3,5,3],[3,6,99],[3,7,51],[4,5,2],[4,6,39],[4,7,65],[5,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,75],[0,3,91],[0,4,2],[0,5,28],[0,6,92],[0,7,36],[1,2,50],[1,3,36],[1,4,29],[1,5,23],[1,6,60],[2,3,18],[2,4,20],[2,6,24],[3,4,92],[3,5,3],[3,6,99],[3,7,51],[4,5,2],[4,6,39],[4,7,65],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,75],[0,3,91],[0,4,2],[0,5,28],[0,6,92],[0,7,36],[1,2,50],[1,3,36],[1,4,29],[1,5,23],[1,6,60],[2,3,18],[2,4,20],[2,6,24],[3,4,92],[3,5,3],[3,6,99],[3,7,51],[4,5,2],[4,6,39],[4,7,65],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (0,7)\"],\"Answer\":108}",
"role": "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],[0,2,75],[0,3,91],[0,4,2],[0,5,28],[0,6,92],[0,7,36],[1,2,50],[1,3,36],[1,4,29],[1,5,23],[1,6,60],[2,3,18],[2,4,20],[2,6,24],[3,4,92],[3,5,3],[3,6,99],[3,7,51],[4,5,2],[4,6,39],[4,7,65],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (4,5)=2, w=4\",\"Add (3,5)=3, w=7\",\"Add (2,3)=18, w=25\",\"Add (1,5)=23, w=48\",\"Add (2,6)=24, w=72\",\"Add (0,7)=36, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,75],[0,3,91],[0,4,2],[0,5,28],[0,6,92],[0,7,36],[1,2,50],[1,3,36],[1,4,29],[1,5,23],[1,6,60],[2,3,18],[2,4,20],[2,6,24],[3,4,92],[3,5,3],[3,6,99],[3,7,51],[4,5,2],[4,6,39],[4,7,65],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (4,5)=2 Succeeded, w=4\",\"Add (3,5)=3 Succeeded, w=7\",\"Add (2,3)=18 Succeeded, w=25\",\"Add (2,4)=20 Failed, w=25\",\"Add (1,5)=23 Succeeded, w=48\",\"Add (2,6)=24 Succeeded, w=72\",\"Add (0,5)=28 Failed, w=72\",\"Add (1,4)=29 Failed, w=72\",\"Add (0,1)=34 Failed, w=72\",\"Add (0,7)=36 Succeeded, w=108\",\"Add (1,3)=36 Failed, w=108\",\"Add (4,6)=39 Failed, w=108\",\"Add (1,2)=50 Failed, w=108\",\"Add (3,7)=51 Failed, w=108\",\"Add (1,6)=60 Failed, w=108\",\"Add (4,7)=65 Failed, w=108\",\"Add (5,7)=67 Failed, w=108\",\"Add (0,2)=75 Failed, w=108\",\"Add (0,3)=91 Failed, w=108\",\"Add (0,6)=92 Failed, w=108\",\"Add (3,4)=92 Failed, w=108\",\"Add (3,6)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,75],[0,3,91],[0,4,2],[0,5,28],[0,6,92],[0,7,36],[1,2,50],[1,3,36],[1,4,29],[1,5,23],[1,6,60],[2,3,18],[2,4,20],[2,6,24],[3,4,92],[3,5,3],[3,6,99],[3,7,51],[4,5,2],[4,6,39],[4,7,65],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(4,5)=2,(3,5)=3,(2,3)=18,(2,4)=20,(1,5)=23,(2,6)=24,(0,5)=28,(1,4)=29,(0,1)=34,(0,7)=36,(1,3)=36,(4,6)=39,(1,2)=50,(3,7)=51,(1,6)=60,(4,7)=65,(5,7)=67,(0,2)=75,(0,3)=91,(0,6)=92,(3,4)=92,(3,6)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(4)=0, Find(5)=5, Add (4,5)=2 Succeeded, w=4\",\"Find(3)=3, Find(5)=0, Add (3,5)=3 Succeeded, w=7\",\"Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=25\",\"Find(2)=0, Find(4)=0, Add (2,4)=20 Failed, w=25\",\"Find(1)=1, Find(5)=0, Add (1,5)=23 Succeeded, w=48\",\"Find(2)=0, Find(6)=6, Add (2,6)=24 Succeeded, w=72\",\"Find(0)=0, Find(5)=0, Add (0,5)=28 Failed, w=72\",\"Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=72\",\"Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=72\",\"Find(0)=0, Find(7)=7, Add (0,7)=36 Succeeded, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=108\",\"Find(4)=0, Find(6)=0, Add (4,6)=39 Failed, w=108\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=108\",\"Find(3)=0, Find(7)=0, Add (3,7)=51 Failed, w=108\",\"Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=108\",\"Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=108\",\"Find(5)=0, Find(7)=0, Add (5,7)=67 Failed, w=108\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=108\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=108\",\"Find(0)=0, Find(6)=0, Add (0,6)=92 Failed, w=108\",\"Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=108\",\"Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,75],[0,3,91],[0,4,2],[0,5,28],[0,6,92],[0,7,36],[1,2,50],[1,3,36],[1,4,29],[1,5,23],[1,6,60],[2,3,18],[2,4,20],[2,6,24],[3,4,92],[3,5,3],[3,6,99],[3,7,51],[4,5,2],[4,6,39],[4,7,65],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(4,5)=2,(3,5)=3,(2,3)=18,(2,4)=20,(1,5)=23,(2,6)=24,(0,5)=28,(1,4)=29,(0,1)=34,(0,7)=36,(1,3)=36,(4,6)=39,(1,2)=50,(3,7)=51,(1,6)=60,(4,7)=65,(5,7)=67,(0,2)=75,(0,3)=91,(0,6)=92,(3,4)=92,(3,6)=99]\",\"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)=2 Succeeded, w=2\",\"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)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(3)=3, Find(5)=0, Add (3,5)=3 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(4)=0, Add (2,4)=20 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(5)=0, Add (1,5)=23 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(6)=6, Add (2,6)=24 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=28 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=36 Succeeded, w=108\",\"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)=36 Failed, w=108\",\"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)=39 Failed, w=108\",\"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)=50 Failed, w=108\",\"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)=51 Failed, w=108\",\"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)=60 Failed, w=108\",\"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)=65 Failed, w=108\",\"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)=67 Failed, w=108\",\"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)=75 Failed, w=108\",\"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)=91 Failed, w=108\",\"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)=92 Failed, w=108\",\"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)=92 Failed, w=108\",\"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)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,3],[0,3,24],[0,4,52],[2,4,16],[3,4,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,24],[0,4,52],[2,4,16],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,24],[0,4,52],[2,4,16],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,24],[0,4,52],[2,4,16],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (2,4)=16, w=19\",\"Add (0,3)=24, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,24],[0,4,52],[2,4,16],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (2,4)=16 Succeeded, w=19\",\"Add (0,3)=24 Succeeded, w=43\",\"Add (0,4)=52 Failed, w=43\",\"Add (3,4)=72 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,24],[0,4,52],[2,4,16],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,4)=16,(0,3)=24,(0,4)=52,(3,4)=72]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(2)=0, Find(4)=4, Add (2,4)=16 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=43\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=43\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,24],[0,4,52],[2,4,16],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,4)=16,(0,3)=24,(0,4)=52,(3,4)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=16 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,3,0],[2,3,48],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,0],[2,3,48],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,0],[2,3,48],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,0],[2,3,48],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (0,1)=36, w=36\",\"Add (2,3)=48, w=84\",\"Add (3,4)=81, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,0],[2,3,48],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (0,1)=36 Succeeded, w=36\",\"Add (2,3)=48 Succeeded, w=84\",\"Add (3,4)=81 Succeeded, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,0],[2,3,48],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,1)=36,(2,3)=48,(3,4)=81]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=36\",\"Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=84\",\"Find(3)=0, Find(4)=4, Add (3,4)=81 Succeeded, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,0],[2,3,48],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,1)=36,(2,3)=48,(3,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=81 Succeeded, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,48],[0,2,75],[0,3,36],[0,4,29],[1,2,10],[1,3,40],[1,4,42],[2,3,21],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,75],[0,3,36],[0,4,29],[1,2,10],[1,3,40],[1,4,42],[2,3,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,75],[0,3,36],[0,4,29],[1,2,10],[1,3,40],[1,4,42],[2,3,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,75],[0,3,36],[0,4,29],[1,2,10],[1,3,40],[1,4,42],[2,3,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (2,3)=21, w=31\",\"Add (0,4)=29, w=60\",\"Add (3,4)=34, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,75],[0,3,36],[0,4,29],[1,2,10],[1,3,40],[1,4,42],[2,3,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (2,3)=21 Succeeded, w=31\",\"Add (0,4)=29 Succeeded, w=60\",\"Add (3,4)=34 Succeeded, w=94\",\"Add (0,3)=36 Failed, w=94\",\"Add (1,3)=40 Failed, w=94\",\"Add (1,4)=42 Failed, w=94\",\"Add (0,1)=48 Failed, w=94\",\"Add (0,2)=75 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,75],[0,3,36],[0,4,29],[1,2,10],[1,3,40],[1,4,42],[2,3,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,3)=21,(0,4)=29,(3,4)=34,(0,3)=36,(1,3)=40,(1,4)=42,(0,1)=48,(0,2)=75]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(2)=1, Find(3)=3, Add (2,3)=21 Succeeded, w=31\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=60\",\"Find(3)=1, Find(4)=0, Add (3,4)=34 Succeeded, w=94\",\"Find(0)=1, Find(3)=1, Add (0,3)=36 Failed, w=94\",\"Find(1)=1, Find(3)=1, Add (1,3)=40 Failed, w=94\",\"Find(1)=1, Find(4)=1, Add (1,4)=42 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=94\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,75],[0,3,36],[0,4,29],[1,2,10],[1,3,40],[1,4,42],[2,3,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,3)=21,(0,4)=29,(3,4)=34,(0,3)=36,(1,3)=40,(1,4)=42,(0,1)=48,(0,2)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(3)=1, Find(4)=0, Add (3,4)=34 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(3)=1, Add (0,3)=36 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(3)=1, Add (1,3)=40 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=42 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,78],[0,2,70],[0,4,52],[0,5,39],[0,6,31],[1,2,97],[1,3,94],[1,4,85],[1,5,72],[1,6,19],[2,4,5],[2,5,6],[2,6,82],[3,4,34],[3,5,5],[3,6,39],[4,5,72],[4,6,55],[5,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,4,52],[0,5,39],[0,6,31],[1,2,97],[1,3,94],[1,4,85],[1,5,72],[1,6,19],[2,4,5],[2,5,6],[2,6,82],[3,4,34],[3,5,5],[3,6,39],[4,5,72],[4,6,55],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,4,52],[0,5,39],[0,6,31],[1,2,97],[1,3,94],[1,4,85],[1,5,72],[1,6,19],[2,4,5],[2,5,6],[2,6,82],[3,4,34],[3,5,5],[3,6,39],[4,5,72],[4,6,55],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (0,6)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,4,52],[0,5,39],[0,6,31],[1,2,97],[1,3,94],[1,4,85],[1,5,72],[1,6,19],[2,4,5],[2,5,6],[2,6,82],[3,4,34],[3,5,5],[3,6,39],[4,5,72],[4,6,55],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (2,4)=5, w=6\",\"Add (3,5)=5, w=11\",\"Add (2,5)=6, w=17\",\"Add (1,6)=19, w=36\",\"Add (0,6)=31, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,4,52],[0,5,39],[0,6,31],[1,2,97],[1,3,94],[1,4,85],[1,5,72],[1,6,19],[2,4,5],[2,5,6],[2,6,82],[3,4,34],[3,5,5],[3,6,39],[4,5,72],[4,6,55],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (2,4)=5 Succeeded, w=6\",\"Add (3,5)=5 Succeeded, w=11\",\"Add (2,5)=6 Succeeded, w=17\",\"Add (1,6)=19 Succeeded, w=36\",\"Add (0,6)=31 Succeeded, w=67\",\"Add (3,4)=34 Failed, w=67\",\"Add (0,5)=39 Failed, w=67\",\"Add (3,6)=39 Failed, w=67\",\"Add (0,4)=52 Failed, w=67\",\"Add (4,6)=55 Failed, w=67\",\"Add (0,2)=70 Failed, w=67\",\"Add (1,5)=72 Failed, w=67\",\"Add (4,5)=72 Failed, w=67\",\"Add (0,1)=78 Failed, w=67\",\"Add (2,6)=82 Failed, w=67\",\"Add (1,4)=85 Failed, w=67\",\"Add (1,3)=94 Failed, w=67\",\"Add (1,2)=97 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,4,52],[0,5,39],[0,6,31],[1,2,97],[1,3,94],[1,4,85],[1,5,72],[1,6,19],[2,4,5],[2,5,6],[2,6,82],[3,4,34],[3,5,5],[3,6,39],[4,5,72],[4,6,55],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(2,4)=5,(3,5)=5,(2,5)=6,(1,6)=19,(0,6)=31,(3,4)=34,(0,5)=39,(3,6)=39,(0,4)=52,(4,6)=55,(0,2)=70,(1,5)=72,(4,5)=72,(0,1)=78,(2,6)=82,(1,4)=85,(1,3)=94,(1,2)=97]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=11\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=17\",\"Find(1)=1, Find(6)=2, Add (1,6)=19 Succeeded, w=36\",\"Find(0)=0, Find(6)=2, Add (0,6)=31 Succeeded, w=67\",\"Find(3)=2, Find(4)=2, Add (3,4)=34 Failed, w=67\",\"Find(0)=2, Find(5)=2, Add (0,5)=39 Failed, w=67\",\"Find(3)=2, Find(6)=2, Add (3,6)=39 Failed, w=67\",\"Find(0)=2, Find(4)=2, Add (0,4)=52 Failed, w=67\",\"Find(4)=2, Find(6)=2, Add (4,6)=55 Failed, w=67\",\"Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=67\",\"Find(1)=2, Find(5)=2, Add (1,5)=72 Failed, w=67\",\"Find(4)=2, Find(5)=2, Add (4,5)=72 Failed, w=67\",\"Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=67\",\"Find(2)=2, Find(6)=2, Add (2,6)=82 Failed, w=67\",\"Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=67\",\"Find(1)=2, Find(3)=2, Add (1,3)=94 Failed, w=67\",\"Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,4,52],[0,5,39],[0,6,31],[1,2,97],[1,3,94],[1,4,85],[1,5,72],[1,6,19],[2,4,5],[2,5,6],[2,6,82],[3,4,34],[3,5,5],[3,6,39],[4,5,72],[4,6,55],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(2,4)=5,(3,5)=5,(2,5)=6,(1,6)=19,(0,6)=31,(3,4)=34,(0,5)=39,(3,6)=39,(0,4)=52,(4,6)=55,(0,2)=70,(1,5)=72,(4,5)=72,(0,1)=78,(2,6)=82,(1,4)=85,(1,3)=94,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 2, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 5, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=19 Succeeded, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 5, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=31 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=34 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=39 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=39 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=52 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=55 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=72 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=72 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=82 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=94 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,40],[0,2,91],[0,3,11],[0,4,22],[1,2,29],[1,4,19],[2,3,52],[2,4,73],[3,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,91],[0,3,11],[0,4,22],[1,2,29],[1,4,19],[2,3,52],[2,4,73],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,91],[0,3,11],[0,4,22],[1,2,29],[1,4,19],[2,3,52],[2,4,73],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,91],[0,3,11],[0,4,22],[1,2,29],[1,4,19],[2,3,52],[2,4,73],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (1,4)=19, w=30\",\"Add (0,4)=22, w=52\",\"Add (1,2)=29, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,91],[0,3,11],[0,4,22],[1,2,29],[1,4,19],[2,3,52],[2,4,73],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (1,4)=19 Succeeded, w=30\",\"Add (0,4)=22 Succeeded, w=52\",\"Add (1,2)=29 Succeeded, w=81\",\"Add (0,1)=40 Failed, w=81\",\"Add (2,3)=52 Failed, w=81\",\"Add (3,4)=55 Failed, w=81\",\"Add (2,4)=73 Failed, w=81\",\"Add (0,2)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,91],[0,3,11],[0,4,22],[1,2,29],[1,4,19],[2,3,52],[2,4,73],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,4)=19,(0,4)=22,(1,2)=29,(0,1)=40,(2,3)=52,(3,4)=55,(2,4)=73,(0,2)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=30\",\"Find(0)=0, Find(4)=1, Add (0,4)=22 Succeeded, w=52\",\"Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=81\",\"Find(0)=0, Find(1)=0, Add (0,1)=40 Failed, w=81\",\"Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=81\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=81\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=81\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,91],[0,3,11],[0,4,22],[1,2,29],[1,4,19],[2,3,52],[2,4,73],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,4)=19,(0,4)=22,(1,2)=29,(0,1)=40,(2,3)=52,(3,4)=55,(2,4)=73,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=22 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=40 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,2,2],[0,3,87],[0,4,77],[1,3,12],[2,3,86],[2,4,3],[3,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,2],[0,3,87],[0,4,77],[1,3,12],[2,3,86],[2,4,3],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,2],[0,3,87],[0,4,77],[1,3,12],[2,3,86],[2,4,3],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,2],[0,3,87],[0,4,77],[1,3,12],[2,3,86],[2,4,3],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (2,4)=3, w=5\",\"Add (1,3)=12, w=17\",\"Add (3,4)=62, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,2],[0,3,87],[0,4,77],[1,3,12],[2,3,86],[2,4,3],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (2,4)=3 Succeeded, w=5\",\"Add (1,3)=12 Succeeded, w=17\",\"Add (3,4)=62 Succeeded, w=79\",\"Add (0,4)=77 Failed, w=79\",\"Add (0,1)=86 Failed, w=79\",\"Add (2,3)=86 Failed, w=79\",\"Add (0,3)=87 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,2],[0,3,87],[0,4,77],[1,3,12],[2,3,86],[2,4,3],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,4)=3,(1,3)=12,(3,4)=62,(0,4)=77,(0,1)=86,(2,3)=86,(0,3)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(2)=0, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=17\",\"Find(3)=1, Find(4)=0, Add (3,4)=62 Succeeded, w=79\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=79\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=79\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=79\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,2],[0,3,87],[0,4,77],[1,3,12],[2,3,86],[2,4,3],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,4)=3,(1,3)=12,(3,4)=62,(0,4)=77,(0,1)=86,(2,3)=86,(0,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(3)=1, Find(4)=0, Add (3,4)=62 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,2],[0,3,55],[0,4,82],[1,3,25],[2,3,82],[2,4,27],[3,4,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,2],[0,3,55],[0,4,82],[1,3,25],[2,3,82],[2,4,27],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,2],[0,3,55],[0,4,82],[1,3,25],[2,3,82],[2,4,27],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,2],[0,3,55],[0,4,82],[1,3,25],[2,3,82],[2,4,27],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (0,1)=9, w=11\",\"Add (1,3)=25, w=36\",\"Add (2,4)=27, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,2],[0,3,55],[0,4,82],[1,3,25],[2,3,82],[2,4,27],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (0,1)=9 Succeeded, w=11\",\"Add (1,3)=25 Succeeded, w=36\",\"Add (2,4)=27 Succeeded, w=63\",\"Add (3,4)=37 Failed, w=63\",\"Add (0,3)=55 Failed, w=63\",\"Add (0,4)=82 Failed, w=63\",\"Add (2,3)=82 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,2],[0,3,55],[0,4,82],[1,3,25],[2,3,82],[2,4,27],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,1)=9,(1,3)=25,(2,4)=27,(3,4)=37,(0,3)=55,(0,4)=82,(2,3)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=11\",\"Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=36\",\"Find(2)=0, Find(4)=4, Add (2,4)=27 Succeeded, w=63\",\"Find(3)=0, Find(4)=0, Add (3,4)=37 Failed, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=63\",\"Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=63\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,2],[0,3,55],[0,4,82],[1,3,25],[2,3,82],[2,4,27],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,1)=9,(1,3)=25,(2,4)=27,(3,4)=37,(0,3)=55,(0,4)=82,(2,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=27 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=37 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,20],[0,3,7],[0,5,56],[0,6,20],[1,2,88],[1,3,66],[1,5,12],[1,6,54],[2,3,74],[2,5,73],[3,4,3],[3,5,5],[4,6,93],[5,6,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,7],[0,5,56],[0,6,20],[1,2,88],[1,3,66],[1,5,12],[1,6,54],[2,3,74],[2,5,73],[3,4,3],[3,5,5],[4,6,93],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,7],[0,5,56],[0,6,20],[1,2,88],[1,3,66],[1,5,12],[1,6,54],[2,3,74],[2,5,73],[3,4,3],[3,5,5],[4,6,93],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (2,5)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,7],[0,5,56],[0,6,20],[1,2,88],[1,3,66],[1,5,12],[1,6,54],[2,3,74],[2,5,73],[3,4,3],[3,5,5],[4,6,93],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (3,5)=5, w=8\",\"Add (0,3)=7, w=15\",\"Add (1,5)=12, w=27\",\"Add (0,6)=20, w=47\",\"Add (2,5)=73, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,7],[0,5,56],[0,6,20],[1,2,88],[1,3,66],[1,5,12],[1,6,54],[2,3,74],[2,5,73],[3,4,3],[3,5,5],[4,6,93],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (3,5)=5 Succeeded, w=8\",\"Add (0,3)=7 Succeeded, w=15\",\"Add (1,5)=12 Succeeded, w=27\",\"Add (0,1)=20 Failed, w=27\",\"Add (0,6)=20 Succeeded, w=47\",\"Add (1,6)=54 Failed, w=47\",\"Add (0,5)=56 Failed, w=47\",\"Add (1,3)=66 Failed, w=47\",\"Add (2,5)=73 Succeeded, w=120\",\"Add (2,3)=74 Failed, w=120\",\"Add (5,6)=87 Failed, w=120\",\"Add (1,2)=88 Failed, w=120\",\"Add (4,6)=93 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,7],[0,5,56],[0,6,20],[1,2,88],[1,3,66],[1,5,12],[1,6,54],[2,3,74],[2,5,73],[3,4,3],[3,5,5],[4,6,93],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(3,5)=5,(0,3)=7,(1,5)=12,(0,1)=20,(0,6)=20,(1,6)=54,(0,5)=56,(1,3)=66,(2,5)=73,(2,3)=74,(5,6)=87,(1,2)=88,(4,6)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=15\",\"Find(1)=1, Find(5)=3, Add (1,5)=12 Succeeded, w=27\",\"Find(0)=3, Find(1)=3, Add (0,1)=20 Failed, w=27\",\"Find(0)=3, Find(6)=6, Add (0,6)=20 Succeeded, w=47\",\"Find(1)=3, Find(6)=3, Add (1,6)=54 Failed, w=47\",\"Find(0)=3, Find(5)=3, Add (0,5)=56 Failed, w=47\",\"Find(1)=3, Find(3)=3, Add (1,3)=66 Failed, w=47\",\"Find(2)=2, Find(5)=3, Add (2,5)=73 Succeeded, w=120\",\"Find(2)=3, Find(3)=3, Add (2,3)=74 Failed, w=120\",\"Find(5)=3, Find(6)=3, Add (5,6)=87 Failed, w=120\",\"Find(1)=3, Find(2)=3, Add (1,2)=88 Failed, w=120\",\"Find(4)=3, Find(6)=3, Add (4,6)=93 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,7],[0,5,56],[0,6,20],[1,2,88],[1,3,66],[1,5,12],[1,6,54],[2,3,74],[2,5,73],[3,4,3],[3,5,5],[4,6,93],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(3,5)=5,(0,3)=7,(1,5)=12,(0,1)=20,(0,6)=20,(1,6)=54,(0,5)=56,(1,3)=66,(2,5)=73,(2,3)=74,(5,6)=87,(1,2)=88,(4,6)=93]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=15\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(5)=3, Add (1,5)=12 Succeeded, w=27\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=3, Find(1)=3, Add (0,1)=20 Failed, w=27\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=6, Add (0,6)=20 Succeeded, w=47\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=54 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=56 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=66 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=2, Find(5)=3, Add (2,5)=73 Succeeded, w=120\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=74 Failed, w=120\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=87 Failed, w=120\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=88 Failed, w=120\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=93 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,74],[0,3,26],[1,2,82],[1,3,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,26],[1,2,82],[1,3,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,26],[1,2,82],[1,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,26],[1,2,82],[1,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=26, w=26\",\"Add (1,3)=50, w=76\",\"Add (0,2)=74, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,26],[1,2,82],[1,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=26 Succeeded, w=26\",\"Add (1,3)=50 Succeeded, w=76\",\"Add (0,2)=74 Succeeded, w=150\",\"Add (1,2)=82 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,26],[1,2,82],[1,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=26,(1,3)=50,(0,2)=74,(1,2)=82]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=26\",\"Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=76\",\"Find(0)=0, Find(2)=2, Add (0,2)=74 Succeeded, w=150\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,26],[1,2,82],[1,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=26,(1,3)=50,(0,2)=74,(1,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=74 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,37],[0,2,10],[0,3,98],[0,4,36],[0,5,0],[0,6,57],[0,7,59],[1,3,82],[1,4,71],[1,5,48],[1,6,70],[2,3,92],[2,4,15],[2,5,61],[2,7,14],[3,4,30],[3,6,47],[3,7,78],[4,5,27],[4,7,82],[5,6,37],[5,7,85],[6,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,10],[0,3,98],[0,4,36],[0,5,0],[0,6,57],[0,7,59],[1,3,82],[1,4,71],[1,5,48],[1,6,70],[2,3,92],[2,4,15],[2,5,61],[2,7,14],[3,4,30],[3,6,47],[3,7,78],[4,5,27],[4,7,82],[5,6,37],[5,7,85],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,10],[0,3,98],[0,4,36],[0,5,0],[0,6,57],[0,7,59],[1,3,82],[1,4,71],[1,5,48],[1,6,70],[2,3,92],[2,4,15],[2,5,61],[2,7,14],[3,4,30],[3,6,47],[3,7,78],[4,5,27],[4,7,82],[5,6,37],[5,7,85],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,2)\",\"Add (2,7)\",\"Add (2,4)\",\"Add (6,7)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,10],[0,3,98],[0,4,36],[0,5,0],[0,6,57],[0,7,59],[1,3,82],[1,4,71],[1,5,48],[1,6,70],[2,3,92],[2,4,15],[2,5,61],[2,7,14],[3,4,30],[3,6,47],[3,7,78],[4,5,27],[4,7,82],[5,6,37],[5,7,85],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (0,2)=10, w=10\",\"Add (2,7)=14, w=24\",\"Add (2,4)=15, w=39\",\"Add (6,7)=27, w=66\",\"Add (3,4)=30, w=96\",\"Add (0,1)=37, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,10],[0,3,98],[0,4,36],[0,5,0],[0,6,57],[0,7,59],[1,3,82],[1,4,71],[1,5,48],[1,6,70],[2,3,92],[2,4,15],[2,5,61],[2,7,14],[3,4,30],[3,6,47],[3,7,78],[4,5,27],[4,7,82],[5,6,37],[5,7,85],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (0,2)=10 Succeeded, w=10\",\"Add (2,7)=14 Succeeded, w=24\",\"Add (2,4)=15 Succeeded, w=39\",\"Add (4,5)=27 Failed, w=39\",\"Add (6,7)=27 Succeeded, w=66\",\"Add (3,4)=30 Succeeded, w=96\",\"Add (0,4)=36 Failed, w=96\",\"Add (0,1)=37 Succeeded, w=133\",\"Add (5,6)=37 Failed, w=133\",\"Add (3,6)=47 Failed, w=133\",\"Add (1,5)=48 Failed, w=133\",\"Add (0,6)=57 Failed, w=133\",\"Add (0,7)=59 Failed, w=133\",\"Add (2,5)=61 Failed, w=133\",\"Add (1,6)=70 Failed, w=133\",\"Add (1,4)=71 Failed, w=133\",\"Add (3,7)=78 Failed, w=133\",\"Add (1,3)=82 Failed, w=133\",\"Add (4,7)=82 Failed, w=133\",\"Add (5,7)=85 Failed, w=133\",\"Add (2,3)=92 Failed, w=133\",\"Add (0,3)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,10],[0,3,98],[0,4,36],[0,5,0],[0,6,57],[0,7,59],[1,3,82],[1,4,71],[1,5,48],[1,6,70],[2,3,92],[2,4,15],[2,5,61],[2,7,14],[3,4,30],[3,6,47],[3,7,78],[4,5,27],[4,7,82],[5,6,37],[5,7,85],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,2)=10,(2,7)=14,(2,4)=15,(4,5)=27,(6,7)=27,(3,4)=30,(0,4)=36,(0,1)=37,(5,6)=37,(3,6)=47,(1,5)=48,(0,6)=57,(0,7)=59,(2,5)=61,(1,6)=70,(1,4)=71,(3,7)=78,(1,3)=82,(4,7)=82,(5,7)=85,(2,3)=92,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(2)=0, Find(7)=7, Add (2,7)=14 Succeeded, w=24\",\"Find(2)=0, Find(4)=4, Add (2,4)=15 Succeeded, w=39\",\"Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=39\",\"Find(6)=6, Find(7)=0, Add (6,7)=27 Succeeded, w=66\",\"Find(3)=3, Find(4)=0, Add (3,4)=30 Succeeded, w=96\",\"Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=96\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=133\",\"Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=133\",\"Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=133\",\"Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=133\",\"Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=133\",\"Find(0)=0, Find(7)=0, Add (0,7)=59 Failed, w=133\",\"Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=133\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=133\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=133\",\"Find(3)=0, Find(7)=0, Add (3,7)=78 Failed, w=133\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=133\",\"Find(4)=0, Find(7)=0, Add (4,7)=82 Failed, w=133\",\"Find(5)=0, Find(7)=0, Add (5,7)=85 Failed, w=133\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=133\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,10],[0,3,98],[0,4,36],[0,5,0],[0,6,57],[0,7,59],[1,3,82],[1,4,71],[1,5,48],[1,6,70],[2,3,92],[2,4,15],[2,5,61],[2,7,14],[3,4,30],[3,6,47],[3,7,78],[4,5,27],[4,7,82],[5,6,37],[5,7,85],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,2)=10,(2,7)=14,(2,4)=15,(4,5)=27,(6,7)=27,(3,4)=30,(0,4)=36,(0,1)=37,(5,6)=37,(3,6)=47,(1,5)=48,(0,6)=57,(0,7)=59,(2,5)=61,(1,6)=70,(1,4)=71,(3,7)=78,(1,3)=82,(4,7)=82,(5,7)=85,(2,3)=92,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=27 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(4)=0, Add (3,4)=30 Succeeded, w=96\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=133\",\"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)=37 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=133\",\"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)=57 Failed, w=133\",\"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)=59 Failed, w=133\",\"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)=61 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=133\",\"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)=78 Failed, w=133\",\"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)=82 Failed, w=133\",\"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)=82 Failed, w=133\",\"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)=85 Failed, w=133\",\"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)=92 Failed, w=133\",\"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)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,55],[0,2,54],[0,3,23],[0,4,33],[1,2,41],[1,3,81],[1,4,92],[2,4,71],[3,4,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,54],[0,3,23],[0,4,33],[1,2,41],[1,3,81],[1,4,92],[2,4,71],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,54],[0,3,23],[0,4,33],[1,2,41],[1,3,81],[1,4,92],[2,4,71],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,54],[0,3,23],[0,4,33],[1,2,41],[1,3,81],[1,4,92],[2,4,71],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23, w=23\",\"Add (0,4)=33, w=56\",\"Add (1,2)=41, w=97\",\"Add (0,2)=54, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,54],[0,3,23],[0,4,33],[1,2,41],[1,3,81],[1,4,92],[2,4,71],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23 Succeeded, w=23\",\"Add (0,4)=33 Succeeded, w=56\",\"Add (1,2)=41 Succeeded, w=97\",\"Add (3,4)=45 Failed, w=97\",\"Add (0,2)=54 Succeeded, w=151\",\"Add (0,1)=55 Failed, w=151\",\"Add (2,4)=71 Failed, w=151\",\"Add (1,3)=81 Failed, w=151\",\"Add (1,4)=92 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,54],[0,3,23],[0,4,33],[1,2,41],[1,3,81],[1,4,92],[2,4,71],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,4)=33,(1,2)=41,(3,4)=45,(0,2)=54,(0,1)=55,(2,4)=71,(1,3)=81,(1,4)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=56\",\"Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=97\",\"Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=97\",\"Find(0)=0, Find(2)=1, Add (0,2)=54 Succeeded, w=151\",\"Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=151\",\"Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=151\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,54],[0,3,23],[0,4,33],[1,2,41],[1,3,81],[1,4,92],[2,4,71],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,4)=33,(1,2)=41,(3,4)=45,(0,2)=54,(0,1)=55,(2,4)=71,(1,3)=81,(1,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=97\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=54 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,60],[0,2,36],[0,3,1],[0,4,51],[1,2,86],[1,3,83],[1,4,48],[2,3,30],[2,4,34],[3,4,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,36],[0,3,1],[0,4,51],[1,2,86],[1,3,83],[1,4,48],[2,3,30],[2,4,34],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,36],[0,3,1],[0,4,51],[1,2,86],[1,3,83],[1,4,48],[2,3,30],[2,4,34],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,36],[0,3,1],[0,4,51],[1,2,86],[1,3,83],[1,4,48],[2,3,30],[2,4,34],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (2,3)=30, w=31\",\"Add (2,4)=34, w=65\",\"Add (1,4)=48, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,36],[0,3,1],[0,4,51],[1,2,86],[1,3,83],[1,4,48],[2,3,30],[2,4,34],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (2,3)=30 Succeeded, w=31\",\"Add (2,4)=34 Succeeded, w=65\",\"Add (0,2)=36 Failed, w=65\",\"Add (3,4)=41 Failed, w=65\",\"Add (1,4)=48 Succeeded, w=113\",\"Add (0,4)=51 Failed, w=113\",\"Add (0,1)=60 Failed, w=113\",\"Add (1,3)=83 Failed, w=113\",\"Add (1,2)=86 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,36],[0,3,1],[0,4,51],[1,2,86],[1,3,83],[1,4,48],[2,3,30],[2,4,34],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,3)=30,(2,4)=34,(0,2)=36,(3,4)=41,(1,4)=48,(0,4)=51,(0,1)=60,(1,3)=83,(1,2)=86]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=0, Add (2,3)=30 Succeeded, w=31\",\"Find(2)=0, Find(4)=4, Add (2,4)=34 Succeeded, w=65\",\"Find(0)=0, Find(2)=0, Add (0,2)=36 Failed, w=65\",\"Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=65\",\"Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=113\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=113\",\"Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=113\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,36],[0,3,1],[0,4,51],[1,2,86],[1,3,83],[1,4,48],[2,3,30],[2,4,34],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,3)=30,(2,4)=34,(0,2)=36,(3,4)=41,(1,4)=48,(0,4)=51,(0,1)=60,(1,3)=83,(1,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=30 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=34 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=36 Failed, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,28],[0,2,98],[0,3,56],[0,5,84],[0,6,49],[0,7,42],[1,2,48],[1,3,54],[1,4,32],[1,5,35],[1,6,64],[1,7,53],[2,3,35],[2,4,17],[2,5,13],[2,6,72],[2,7,69],[3,4,18],[3,5,17],[3,6,77],[3,7,32],[4,6,56],[4,7,44],[5,6,68],[5,7,97],[6,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,98],[0,3,56],[0,5,84],[0,6,49],[0,7,42],[1,2,48],[1,3,54],[1,4,32],[1,5,35],[1,6,64],[1,7,53],[2,3,35],[2,4,17],[2,5,13],[2,6,72],[2,7,69],[3,4,18],[3,5,17],[3,6,77],[3,7,32],[4,6,56],[4,7,44],[5,6,68],[5,7,97],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,98],[0,3,56],[0,5,84],[0,6,49],[0,7,42],[1,2,48],[1,3,54],[1,4,32],[1,5,35],[1,6,64],[1,7,53],[2,3,35],[2,4,17],[2,5,13],[2,6,72],[2,7,69],[3,4,18],[3,5,17],[3,6,77],[3,7,32],[4,6,56],[4,7,44],[5,6,68],[5,7,97],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (3,7)\",\"Add (0,6)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,98],[0,3,56],[0,5,84],[0,6,49],[0,7,42],[1,2,48],[1,3,54],[1,4,32],[1,5,35],[1,6,64],[1,7,53],[2,3,35],[2,4,17],[2,5,13],[2,6,72],[2,7,69],[3,4,18],[3,5,17],[3,6,77],[3,7,32],[4,6,56],[4,7,44],[5,6,68],[5,7,97],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=13, w=13\",\"Add (2,4)=17, w=30\",\"Add (3,5)=17, w=47\",\"Add (0,1)=28, w=75\",\"Add (1,4)=32, w=107\",\"Add (3,7)=32, w=139\",\"Add (0,6)=49, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,98],[0,3,56],[0,5,84],[0,6,49],[0,7,42],[1,2,48],[1,3,54],[1,4,32],[1,5,35],[1,6,64],[1,7,53],[2,3,35],[2,4,17],[2,5,13],[2,6,72],[2,7,69],[3,4,18],[3,5,17],[3,6,77],[3,7,32],[4,6,56],[4,7,44],[5,6,68],[5,7,97],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=13 Succeeded, w=13\",\"Add (2,4)=17 Succeeded, w=30\",\"Add (3,5)=17 Succeeded, w=47\",\"Add (3,4)=18 Failed, w=47\",\"Add (0,1)=28 Succeeded, w=75\",\"Add (1,4)=32 Succeeded, w=107\",\"Add (3,7)=32 Succeeded, w=139\",\"Add (1,5)=35 Failed, w=139\",\"Add (2,3)=35 Failed, w=139\",\"Add (0,7)=42 Failed, w=139\",\"Add (4,7)=44 Failed, w=139\",\"Add (1,2)=48 Failed, w=139\",\"Add (0,6)=49 Succeeded, w=188\",\"Add (6,7)=52 Failed, w=188\",\"Add (1,7)=53 Failed, w=188\",\"Add (1,3)=54 Failed, w=188\",\"Add (0,3)=56 Failed, w=188\",\"Add (4,6)=56 Failed, w=188\",\"Add (1,6)=64 Failed, w=188\",\"Add (5,6)=68 Failed, w=188\",\"Add (2,7)=69 Failed, w=188\",\"Add (2,6)=72 Failed, w=188\",\"Add (3,6)=77 Failed, w=188\",\"Add (0,5)=84 Failed, w=188\",\"Add (5,7)=97 Failed, w=188\",\"Add (0,2)=98 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,98],[0,3,56],[0,5,84],[0,6,49],[0,7,42],[1,2,48],[1,3,54],[1,4,32],[1,5,35],[1,6,64],[1,7,53],[2,3,35],[2,4,17],[2,5,13],[2,6,72],[2,7,69],[3,4,18],[3,5,17],[3,6,77],[3,7,32],[4,6,56],[4,7,44],[5,6,68],[5,7,97],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=13,(2,4)=17,(3,5)=17,(3,4)=18,(0,1)=28,(1,4)=32,(3,7)=32,(1,5)=35,(2,3)=35,(0,7)=42,(4,7)=44,(1,2)=48,(0,6)=49,(6,7)=52,(1,7)=53,(1,3)=54,(0,3)=56,(4,6)=56,(1,6)=64,(5,6)=68,(2,7)=69,(2,6)=72,(3,6)=77,(0,5)=84,(5,7)=97,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=30\",\"Find(3)=3, Find(5)=2, Add (3,5)=17 Succeeded, w=47\",\"Find(3)=2, Find(4)=2, Add (3,4)=18 Failed, w=47\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=75\",\"Find(1)=0, Find(4)=2, Add (1,4)=32 Succeeded, w=107\",\"Find(3)=0, Find(7)=7, Add (3,7)=32 Succeeded, w=139\",\"Find(1)=0, Find(5)=0, Add (1,5)=35 Failed, w=139\",\"Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=139\",\"Find(0)=0, Find(7)=0, Add (0,7)=42 Failed, w=139\",\"Find(4)=0, Find(7)=0, Add (4,7)=44 Failed, w=139\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=139\",\"Find(0)=0, Find(6)=6, Add (0,6)=49 Succeeded, w=188\",\"Find(6)=0, Find(7)=0, Add (6,7)=52 Failed, w=188\",\"Find(1)=0, Find(7)=0, Add (1,7)=53 Failed, w=188\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=188\",\"Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=188\",\"Find(4)=0, Find(6)=0, Add (4,6)=56 Failed, w=188\",\"Find(1)=0, Find(6)=0, Add (1,6)=64 Failed, w=188\",\"Find(5)=0, Find(6)=0, Add (5,6)=68 Failed, w=188\",\"Find(2)=0, Find(7)=0, Add (2,7)=69 Failed, w=188\",\"Find(2)=0, Find(6)=0, Add (2,6)=72 Failed, w=188\",\"Find(3)=0, Find(6)=0, Add (3,6)=77 Failed, w=188\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=188\",\"Find(5)=0, Find(7)=0, Add (5,7)=97 Failed, w=188\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,98],[0,3,56],[0,5,84],[0,6,49],[0,7,42],[1,2,48],[1,3,54],[1,4,32],[1,5,35],[1,6,64],[1,7,53],[2,3,35],[2,4,17],[2,5,13],[2,6,72],[2,7,69],[3,4,18],[3,5,17],[3,6,77],[3,7,32],[4,6,56],[4,7,44],[5,6,68],[5,7,97],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=13,(2,4)=17,(3,5)=17,(3,4)=18,(0,1)=28,(1,4)=32,(3,7)=32,(1,5)=35,(2,3)=35,(0,7)=42,(4,7)=44,(1,2)=48,(0,6)=49,(6,7)=52,(1,7)=53,(1,3)=54,(0,3)=56,(4,6)=56,(1,6)=64,(5,6)=68,(2,7)=69,(2,6)=72,(3,6)=77,(0,5)=84,(5,7)=97,(0,2)=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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=3, Find(5)=2, Add (3,5)=17 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(4)=2, Add (3,4)=18 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(1)=0, Find(4)=2, Add (1,4)=32 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 6, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=32 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=35 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=42 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=44 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=49 Succeeded, w=188\",\"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)=52 Failed, w=188\",\"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)=53 Failed, w=188\",\"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)=54 Failed, w=188\",\"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)=56 Failed, w=188\",\"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)=56 Failed, w=188\",\"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)=64 Failed, w=188\",\"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)=68 Failed, w=188\",\"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=188\",\"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)=72 Failed, w=188\",\"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)=77 Failed, w=188\",\"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)=84 Failed, w=188\",\"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)=97 Failed, w=188\",\"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)=98 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,49],[0,3,49],[0,4,71],[1,2,81],[1,4,64],[2,3,9],[2,4,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,49],[0,4,71],[1,2,81],[1,4,64],[2,3,9],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,49],[0,4,71],[1,2,81],[1,4,64],[2,3,9],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,49],[0,4,71],[1,2,81],[1,4,64],[2,3,9],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9, w=9\",\"Add (0,2)=49, w=58\",\"Add (1,4)=64, w=122\",\"Add (2,4)=68, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,49],[0,4,71],[1,2,81],[1,4,64],[2,3,9],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9 Succeeded, w=9\",\"Add (0,2)=49 Succeeded, w=58\",\"Add (0,3)=49 Failed, w=58\",\"Add (1,4)=64 Succeeded, w=122\",\"Add (2,4)=68 Succeeded, w=190\",\"Add (0,4)=71 Failed, w=190\",\"Add (1,2)=81 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,49],[0,4,71],[1,2,81],[1,4,64],[2,3,9],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,2)=49,(0,3)=49,(1,4)=64,(2,4)=68,(0,4)=71,(1,2)=81]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=58\",\"Find(0)=2, Find(3)=2, Add (0,3)=49 Failed, w=58\",\"Find(1)=1, Find(4)=4, Add (1,4)=64 Succeeded, w=122\",\"Find(2)=2, Find(4)=1, Add (2,4)=68 Succeeded, w=190\",\"Find(0)=2, Find(4)=2, Add (0,4)=71 Failed, w=190\",\"Find(1)=2, Find(2)=2, Add (1,2)=81 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,49],[0,3,49],[0,4,71],[1,2,81],[1,4,64],[2,3,9],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,2)=49,(0,3)=49,(1,4)=64,(2,4)=68,(0,4)=71,(1,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(3)=2, Add (0,3)=49 Failed, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=64 Succeeded, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=68 Succeeded, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=71 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=81 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,86],[0,3,84],[0,4,11],[0,5,91],[0,6,59],[1,3,58],[1,4,28],[1,5,24],[1,6,15],[2,3,54],[2,4,46],[2,5,38],[2,6,18],[2,7,83],[3,4,48],[3,5,22],[3,6,80],[3,7,53],[4,5,53],[4,6,69],[5,6,43],[5,7,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,3,84],[0,4,11],[0,5,91],[0,6,59],[1,3,58],[1,4,28],[1,5,24],[1,6,15],[2,3,54],[2,4,46],[2,5,38],[2,6,18],[2,7,83],[3,4,48],[3,5,22],[3,6,80],[3,7,53],[4,5,53],[4,6,69],[5,6,43],[5,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,3,84],[0,4,11],[0,5,91],[0,6,59],[1,3,58],[1,4,28],[1,5,24],[1,6,15],[2,3,54],[2,4,46],[2,5,38],[2,6,18],[2,7,83],[3,4,48],[3,5,22],[3,6,80],[3,7,53],[4,5,53],[4,6,69],[5,6,43],[5,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (3,7)\"],\"Answer\":171}",
"role": "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],[0,3,84],[0,4,11],[0,5,91],[0,6,59],[1,3,58],[1,4,28],[1,5,24],[1,6,15],[2,3,54],[2,4,46],[2,5,38],[2,6,18],[2,7,83],[3,4,48],[3,5,22],[3,6,80],[3,7,53],[4,5,53],[4,6,69],[5,6,43],[5,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (1,6)=15, w=26\",\"Add (2,6)=18, w=44\",\"Add (3,5)=22, w=66\",\"Add (1,5)=24, w=90\",\"Add (1,4)=28, w=118\",\"Add (3,7)=53, w=171\"],\"Answer\":171}",
"role": "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],[0,3,84],[0,4,11],[0,5,91],[0,6,59],[1,3,58],[1,4,28],[1,5,24],[1,6,15],[2,3,54],[2,4,46],[2,5,38],[2,6,18],[2,7,83],[3,4,48],[3,5,22],[3,6,80],[3,7,53],[4,5,53],[4,6,69],[5,6,43],[5,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (1,6)=15 Succeeded, w=26\",\"Add (2,6)=18 Succeeded, w=44\",\"Add (3,5)=22 Succeeded, w=66\",\"Add (1,5)=24 Succeeded, w=90\",\"Add (1,4)=28 Succeeded, w=118\",\"Add (2,5)=38 Failed, w=118\",\"Add (5,6)=43 Failed, w=118\",\"Add (2,4)=46 Failed, w=118\",\"Add (3,4)=48 Failed, w=118\",\"Add (3,7)=53 Succeeded, w=171\",\"Add (4,5)=53 Failed, w=171\",\"Add (2,3)=54 Failed, w=171\",\"Add (1,3)=58 Failed, w=171\",\"Add (0,6)=59 Failed, w=171\",\"Add (5,7)=68 Failed, w=171\",\"Add (4,6)=69 Failed, w=171\",\"Add (3,6)=80 Failed, w=171\",\"Add (2,7)=83 Failed, w=171\",\"Add (0,3)=84 Failed, w=171\",\"Add (0,1)=86 Failed, w=171\",\"Add (0,5)=91 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,3,84],[0,4,11],[0,5,91],[0,6,59],[1,3,58],[1,4,28],[1,5,24],[1,6,15],[2,3,54],[2,4,46],[2,5,38],[2,6,18],[2,7,83],[3,4,48],[3,5,22],[3,6,80],[3,7,53],[4,5,53],[4,6,69],[5,6,43],[5,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(1,6)=15,(2,6)=18,(3,5)=22,(1,5)=24,(1,4)=28,(2,5)=38,(5,6)=43,(2,4)=46,(3,4)=48,(3,7)=53,(4,5)=53,(2,3)=54,(1,3)=58,(0,6)=59,(5,7)=68,(4,6)=69,(3,6)=80,(2,7)=83,(0,3)=84,(0,1)=86,(0,5)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=26\",\"Find(2)=2, Find(6)=1, Add (2,6)=18 Succeeded, w=44\",\"Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=66\",\"Find(1)=1, Find(5)=3, Add (1,5)=24 Succeeded, w=90\",\"Find(1)=1, Find(4)=0, Add (1,4)=28 Succeeded, w=118\",\"Find(2)=1, Find(5)=1, Add (2,5)=38 Failed, w=118\",\"Find(5)=1, Find(6)=1, Add (5,6)=43 Failed, w=118\",\"Find(2)=1, Find(4)=1, Add (2,4)=46 Failed, w=118\",\"Find(3)=1, Find(4)=1, Add (3,4)=48 Failed, w=118\",\"Find(3)=1, Find(7)=7, Add (3,7)=53 Succeeded, w=171\",\"Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=171\",\"Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=171\",\"Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=171\",\"Find(0)=1, Find(6)=1, Add (0,6)=59 Failed, w=171\",\"Find(5)=1, Find(7)=1, Add (5,7)=68 Failed, w=171\",\"Find(4)=1, Find(6)=1, Add (4,6)=69 Failed, w=171\",\"Find(3)=1, Find(6)=1, Add (3,6)=80 Failed, w=171\",\"Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=171\",\"Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=171\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=171\",\"Find(0)=1, Find(5)=1, Add (0,5)=91 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,3,84],[0,4,11],[0,5,91],[0,6,59],[1,3,58],[1,4,28],[1,5,24],[1,6,15],[2,3,54],[2,4,46],[2,5,38],[2,6,18],[2,7,83],[3,4,48],[3,5,22],[3,6,80],[3,7,53],[4,5,53],[4,6,69],[5,6,43],[5,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(1,6)=15,(2,6)=18,(3,5)=22,(1,5)=24,(1,4)=28,(2,5)=38,(5,6)=43,(2,4)=46,(3,4)=48,(3,7)=53,(4,5)=53,(2,3)=54,(1,3)=58,(0,6)=59,(5,7)=68,(4,6)=69,(3,6)=80,(2,7)=83,(0,3)=84,(0,1)=86,(0,5)=91]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(6)=1, Add (2,6)=18 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3, 6: 1, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(5)=3, Add (1,5)=24 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=28 Succeeded, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(5)=1, Add (2,5)=38 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=1, Add (5,6)=43 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(4)=1, Add (2,4)=46 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(4)=1, Add (3,4)=48 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=53 Succeeded, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=171\",\"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)=54 Failed, w=171\",\"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)=58 Failed, w=171\",\"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)=59 Failed, w=171\",\"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)=68 Failed, w=171\",\"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)=69 Failed, w=171\",\"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)=80 Failed, w=171\",\"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=171\",\"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)=84 Failed, w=171\",\"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)=86 Failed, w=171\",\"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)=91 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,73],[0,3,69],[0,4,1],[1,2,63],[1,3,83],[1,4,80],[2,4,22],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,73],[0,3,69],[0,4,1],[1,2,63],[1,3,83],[1,4,80],[2,4,22],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,73],[0,3,69],[0,4,1],[1,2,63],[1,3,83],[1,4,80],[2,4,22],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,73],[0,3,69],[0,4,1],[1,2,63],[1,3,83],[1,4,80],[2,4,22],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (3,4)=19, w=20\",\"Add (2,4)=22, w=42\",\"Add (0,1)=26, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,73],[0,3,69],[0,4,1],[1,2,63],[1,3,83],[1,4,80],[2,4,22],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (3,4)=19 Succeeded, w=20\",\"Add (2,4)=22 Succeeded, w=42\",\"Add (0,1)=26 Succeeded, w=68\",\"Add (1,2)=63 Failed, w=68\",\"Add (0,3)=69 Failed, w=68\",\"Add (0,2)=73 Failed, w=68\",\"Add (1,4)=80 Failed, w=68\",\"Add (1,3)=83 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,73],[0,3,69],[0,4,1],[1,2,63],[1,3,83],[1,4,80],[2,4,22],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(3,4)=19,(2,4)=22,(0,1)=26,(1,2)=63,(0,3)=69,(0,2)=73,(1,4)=80,(1,3)=83]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=0, Add (3,4)=19 Succeeded, w=20\",\"Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=42\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=68\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=68\",\"Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=68\",\"Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=68\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=68\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,73],[0,3,69],[0,4,1],[1,2,63],[1,3,83],[1,4,80],[2,4,22],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(3,4)=19,(2,4)=22,(0,1)=26,(1,2)=63,(0,3)=69,(0,2)=73,(1,4)=80,(1,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=19 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,3],[0,3,7],[0,6,25],[0,7,83],[1,2,11],[1,6,18],[3,6,80],[3,7,93],[4,5,78],[4,7,82],[5,7,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,3,7],[0,6,25],[0,7,83],[1,2,11],[1,6,18],[3,6,80],[3,7,93],[4,5,78],[4,7,82],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,3,7],[0,6,25],[0,7,83],[1,2,11],[1,6,18],[3,6,80],[3,7,93],[4,5,78],[4,7,82],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (5,7)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (0,7)\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,3,7],[0,6,25],[0,7,83],[1,2,11],[1,6,18],[3,6,80],[3,7,93],[4,5,78],[4,7,82],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,3)=7, w=10\",\"Add (5,7)=9, w=19\",\"Add (1,2)=11, w=30\",\"Add (1,6)=18, w=48\",\"Add (4,5)=78, w=126\",\"Add (0,7)=83, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,3,7],[0,6,25],[0,7,83],[1,2,11],[1,6,18],[3,6,80],[3,7,93],[4,5,78],[4,7,82],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,3)=7 Succeeded, w=10\",\"Add (5,7)=9 Succeeded, w=19\",\"Add (1,2)=11 Succeeded, w=30\",\"Add (1,6)=18 Succeeded, w=48\",\"Add (0,6)=25 Failed, w=48\",\"Add (4,5)=78 Succeeded, w=126\",\"Add (3,6)=80 Failed, w=126\",\"Add (4,7)=82 Failed, w=126\",\"Add (0,7)=83 Succeeded, w=209\",\"Add (3,7)=93 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,3,7],[0,6,25],[0,7,83],[1,2,11],[1,6,18],[3,6,80],[3,7,93],[4,5,78],[4,7,82],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,3)=7,(5,7)=9,(1,2)=11,(1,6)=18,(0,6)=25,(4,5)=78,(3,6)=80,(4,7)=82,(0,7)=83,(3,7)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=10\",\"Find(5)=5, Find(7)=7, Add (5,7)=9 Succeeded, w=19\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=30\",\"Find(1)=0, Find(6)=6, Add (1,6)=18 Succeeded, w=48\",\"Find(0)=0, Find(6)=0, Add (0,6)=25 Failed, w=48\",\"Find(4)=4, Find(5)=5, Add (4,5)=78 Succeeded, w=126\",\"Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=126\",\"Find(4)=5, Find(7)=5, Add (4,7)=82 Failed, w=126\",\"Find(0)=0, Find(7)=5, Add (0,7)=83 Succeeded, w=209\",\"Find(3)=0, Find(7)=0, Add (3,7)=93 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,3,7],[0,6,25],[0,7,83],[1,2,11],[1,6,18],[3,6,80],[3,7,93],[4,5,78],[4,7,82],[5,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,3)=7,(5,7)=9,(1,2)=11,(1,6)=18,(0,6)=25,(4,5)=78,(3,6)=80,(4,7)=82,(0,7)=83,(3,7)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 5}, Find(1)=0, Find(6)=6, Add (1,6)=18 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 5}, Find(0)=0, Find(6)=0, Add (0,6)=25 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 5, 6: 0, 7: 5}, Find(4)=4, Find(5)=5, Add (4,5)=78 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 5, 6: 0, 7: 5}, Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 5, 6: 0, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=82 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=83 Succeeded, w=209\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=93 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,39],[1,2,82],[1,3,36],[1,4,31],[2,3,65],[2,4,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,39],[1,2,82],[1,3,36],[1,4,31],[2,3,65],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,39],[1,2,82],[1,3,36],[1,4,31],[2,3,65],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,39],[1,2,82],[1,3,36],[1,4,31],[2,3,65],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14, w=14\",\"Add (1,4)=31, w=45\",\"Add (1,3)=36, w=81\",\"Add (0,2)=39, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,39],[1,2,82],[1,3,36],[1,4,31],[2,3,65],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14 Succeeded, w=14\",\"Add (1,4)=31 Succeeded, w=45\",\"Add (1,3)=36 Succeeded, w=81\",\"Add (0,2)=39 Succeeded, w=120\",\"Add (2,3)=65 Failed, w=120\",\"Add (0,1)=80 Failed, w=120\",\"Add (1,2)=82 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,39],[1,2,82],[1,3,36],[1,4,31],[2,3,65],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(1,4)=31,(1,3)=36,(0,2)=39,(2,3)=65,(0,1)=80,(1,2)=82]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Find(1)=1, Find(4)=2, Add (1,4)=31 Succeeded, w=45\",\"Find(1)=2, Find(3)=3, Add (1,3)=36 Succeeded, w=81\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=120\",\"Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=120\",\"Find(0)=2, Find(1)=2, Add (0,1)=80 Failed, w=120\",\"Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,39],[1,2,82],[1,3,36],[1,4,31],[2,3,65],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(1,4)=31,(1,3)=36,(0,2)=39,(2,3)=65,(0,1)=80,(1,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=31 Succeeded, w=45\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=36 Succeeded, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=80 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,89],[0,3,94],[0,4,26],[0,5,11],[1,3,27],[1,4,5],[1,5,54],[3,5,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,94],[0,4,26],[0,5,11],[1,3,27],[1,4,5],[1,5,54],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,94],[0,4,26],[0,5,11],[1,3,27],[1,4,5],[1,5,54],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,94],[0,4,26],[0,5,11],[1,3,27],[1,4,5],[1,5,54],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (0,5)=11, w=16\",\"Add (3,5)=24, w=40\",\"Add (0,4)=26, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,94],[0,4,26],[0,5,11],[1,3,27],[1,4,5],[1,5,54],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (0,5)=11 Succeeded, w=16\",\"Add (3,5)=24 Succeeded, w=40\",\"Add (0,4)=26 Succeeded, w=66\",\"Add (1,3)=27 Failed, w=66\",\"Add (1,5)=54 Failed, w=66\",\"Add (0,1)=89 Failed, w=66\",\"Add (0,3)=94 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,94],[0,4,26],[0,5,11],[1,3,27],[1,4,5],[1,5,54],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(0,5)=11,(3,5)=24,(0,4)=26,(1,3)=27,(1,5)=54,(0,1)=89,(0,3)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=16\",\"Find(3)=3, Find(5)=0, Add (3,5)=24 Succeeded, w=40\",\"Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=27 Failed, w=66\",\"Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=66\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,94],[0,4,26],[0,5,11],[1,3,27],[1,4,5],[1,5,54],[3,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(0,5)=11,(3,5)=24,(0,4)=26,(1,3)=27,(1,5)=54,(0,1)=89,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=24 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=27 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,0],[1,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (1,3)=91, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (1,3)=91 Succeeded, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(1)=0, Find(3)=3, Add (1,3)=91 Succeeded, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=91 Succeeded, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,2,54],[0,3,63],[0,4,97],[1,2,6],[1,3,33],[2,3,45],[2,4,65],[3,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,54],[0,3,63],[0,4,97],[1,2,6],[1,3,33],[2,3,45],[2,4,65],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,54],[0,3,63],[0,4,97],[1,2,6],[1,3,33],[2,3,45],[2,4,65],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,54],[0,3,63],[0,4,97],[1,2,6],[1,3,33],[2,3,45],[2,4,65],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (1,2)=6, w=11\",\"Add (0,1)=16, w=27\",\"Add (1,3)=33, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,54],[0,3,63],[0,4,97],[1,2,6],[1,3,33],[2,3,45],[2,4,65],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (1,2)=6 Succeeded, w=11\",\"Add (0,1)=16 Succeeded, w=27\",\"Add (1,3)=33 Succeeded, w=60\",\"Add (2,3)=45 Failed, w=60\",\"Add (0,2)=54 Failed, w=60\",\"Add (0,3)=63 Failed, w=60\",\"Add (2,4)=65 Failed, w=60\",\"Add (0,4)=97 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,54],[0,3,63],[0,4,97],[1,2,6],[1,3,33],[2,3,45],[2,4,65],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(1,2)=6,(0,1)=16,(1,3)=33,(2,3)=45,(0,2)=54,(0,3)=63,(2,4)=65,(0,4)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=60\",\"Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=60\",\"Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=60\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=60\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=60\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,54],[0,3,63],[0,4,97],[1,2,6],[1,3,33],[2,3,45],[2,4,65],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(1,2)=6,(0,1)=16,(1,3)=33,(2,3)=45,(0,2)=54,(0,3)=63,(2,4)=65,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,7],[0,3,99],[0,5,30],[0,6,77],[1,2,4],[2,5,75],[2,6,42],[3,4,60],[3,5,92],[3,6,81],[4,5,95],[5,6,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,99],[0,5,30],[0,6,77],[1,2,4],[2,5,75],[2,6,42],[3,4,60],[3,5,92],[3,6,81],[4,5,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,99],[0,5,30],[0,6,77],[1,2,4],[2,5,75],[2,6,42],[3,4,60],[3,5,92],[3,6,81],[4,5,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (3,6)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,99],[0,5,30],[0,6,77],[1,2,4],[2,5,75],[2,6,42],[3,4,60],[3,5,92],[3,6,81],[4,5,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,1)=7, w=11\",\"Add (5,6)=28, w=39\",\"Add (0,5)=30, w=69\",\"Add (3,4)=60, w=129\",\"Add (3,6)=81, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,99],[0,5,30],[0,6,77],[1,2,4],[2,5,75],[2,6,42],[3,4,60],[3,5,92],[3,6,81],[4,5,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,1)=7 Succeeded, w=11\",\"Add (5,6)=28 Succeeded, w=39\",\"Add (0,5)=30 Succeeded, w=69\",\"Add (2,6)=42 Failed, w=69\",\"Add (3,4)=60 Succeeded, w=129\",\"Add (2,5)=75 Failed, w=129\",\"Add (0,6)=77 Failed, w=129\",\"Add (3,6)=81 Succeeded, w=210\",\"Add (3,5)=92 Failed, w=210\",\"Add (4,5)=95 Failed, w=210\",\"Add (0,3)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,99],[0,5,30],[0,6,77],[1,2,4],[2,5,75],[2,6,42],[3,4,60],[3,5,92],[3,6,81],[4,5,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,1)=7,(5,6)=28,(0,5)=30,(2,6)=42,(3,4)=60,(2,5)=75,(0,6)=77,(3,6)=81,(3,5)=92,(4,5)=95,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=11\",\"Find(5)=5, Find(6)=6, Add (5,6)=28 Succeeded, w=39\",\"Find(0)=1, Find(5)=5, Add (0,5)=30 Succeeded, w=69\",\"Find(2)=1, Find(6)=1, Add (2,6)=42 Failed, w=69\",\"Find(3)=3, Find(4)=4, Add (3,4)=60 Succeeded, w=129\",\"Find(2)=1, Find(5)=1, Add (2,5)=75 Failed, w=129\",\"Find(0)=1, Find(6)=1, Add (0,6)=77 Failed, w=129\",\"Find(3)=3, Find(6)=1, Add (3,6)=81 Succeeded, w=210\",\"Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=210\",\"Find(4)=1, Find(5)=1, Add (4,5)=95 Failed, w=210\",\"Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,99],[0,5,30],[0,6,77],[1,2,4],[2,5,75],[2,6,42],[3,4,60],[3,5,92],[3,6,81],[4,5,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,1)=7,(5,6)=28,(0,5)=30,(2,6)=42,(3,4)=60,(2,5)=75,(0,6)=77,(3,6)=81,(3,5)=92,(4,5)=95,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=28 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 5}, Find(0)=1, Find(5)=5, Add (0,5)=30 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=42 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=60 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=75 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=77 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=81 Succeeded, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=95 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,61],[0,3,13],[0,4,63],[0,6,87],[1,2,5],[1,3,69],[1,4,32],[1,5,30],[1,6,98],[2,4,51],[2,5,54],[2,6,79],[3,5,17],[4,5,91],[5,6,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,13],[0,4,63],[0,6,87],[1,2,5],[1,3,69],[1,4,32],[1,5,30],[1,6,98],[2,4,51],[2,5,54],[2,6,79],[3,5,17],[4,5,91],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,13],[0,4,63],[0,6,87],[1,2,5],[1,3,69],[1,4,32],[1,5,30],[1,6,98],[2,4,51],[2,5,54],[2,6,79],[3,5,17],[4,5,91],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (5,6)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,13],[0,4,63],[0,6,87],[1,2,5],[1,3,69],[1,4,32],[1,5,30],[1,6,98],[2,4,51],[2,5,54],[2,6,79],[3,5,17],[4,5,91],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (0,3)=13, w=18\",\"Add (3,5)=17, w=35\",\"Add (1,5)=30, w=65\",\"Add (1,4)=32, w=97\",\"Add (5,6)=78, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,13],[0,4,63],[0,6,87],[1,2,5],[1,3,69],[1,4,32],[1,5,30],[1,6,98],[2,4,51],[2,5,54],[2,6,79],[3,5,17],[4,5,91],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (0,3)=13 Succeeded, w=18\",\"Add (3,5)=17 Succeeded, w=35\",\"Add (1,5)=30 Succeeded, w=65\",\"Add (1,4)=32 Succeeded, w=97\",\"Add (2,4)=51 Failed, w=97\",\"Add (2,5)=54 Failed, w=97\",\"Add (0,2)=61 Failed, w=97\",\"Add (0,4)=63 Failed, w=97\",\"Add (1,3)=69 Failed, w=97\",\"Add (5,6)=78 Succeeded, w=175\",\"Add (2,6)=79 Failed, w=175\",\"Add (0,6)=87 Failed, w=175\",\"Add (4,5)=91 Failed, w=175\",\"Add (1,6)=98 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,13],[0,4,63],[0,6,87],[1,2,5],[1,3,69],[1,4,32],[1,5,30],[1,6,98],[2,4,51],[2,5,54],[2,6,79],[3,5,17],[4,5,91],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,3)=13,(3,5)=17,(1,5)=30,(1,4)=32,(2,4)=51,(2,5)=54,(0,2)=61,(0,4)=63,(1,3)=69,(5,6)=78,(2,6)=79,(0,6)=87,(4,5)=91,(1,6)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=18\",\"Find(3)=0, Find(5)=5, Add (3,5)=17 Succeeded, w=35\",\"Find(1)=1, Find(5)=0, Add (1,5)=30 Succeeded, w=65\",\"Find(1)=1, Find(4)=4, Add (1,4)=32 Succeeded, w=97\",\"Find(2)=1, Find(4)=1, Add (2,4)=51 Failed, w=97\",\"Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=97\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=97\",\"Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=97\",\"Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=97\",\"Find(5)=1, Find(6)=6, Add (5,6)=78 Succeeded, w=175\",\"Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=175\",\"Find(0)=1, Find(6)=1, Add (0,6)=87 Failed, w=175\",\"Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=175\",\"Find(1)=1, Find(6)=1, Add (1,6)=98 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,13],[0,4,63],[0,6,87],[1,2,5],[1,3,69],[1,4,32],[1,5,30],[1,6,98],[2,4,51],[2,5,54],[2,6,79],[3,5,17],[4,5,91],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,3)=13,(3,5)=17,(1,5)=30,(1,4)=32,(2,4)=51,(2,5)=54,(0,2)=61,(0,4)=63,(1,3)=69,(5,6)=78,(2,6)=79,(0,6)=87,(4,5)=91,(1,6)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=0, Find(5)=5, Add (3,5)=17 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=30 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=32 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 6}, Find(2)=1, Find(4)=1, Add (2,4)=51 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=54 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=78 Succeeded, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=87 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=98 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,2,12],[0,3,33],[1,2,38],[1,3,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,12],[0,3,33],[1,2,38],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,12],[0,3,33],[1,2,38],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,12],[0,3,33],[1,2,38],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (1,3)=25, w=37\",\"Add (0,3)=33, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,12],[0,3,33],[1,2,38],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (1,3)=25 Succeeded, w=37\",\"Add (0,3)=33 Succeeded, w=70\",\"Add (1,2)=38 Failed, w=70\",\"Add (0,1)=88 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,12],[0,3,33],[1,2,38],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,3)=25,(0,3)=33,(1,2)=38,(0,1)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=37\",\"Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=70\",\"Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=70\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,12],[0,3,33],[1,2,38],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,3)=25,(0,3)=33,(1,2)=38,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,81],[0,3,65],[0,4,81],[0,5,99],[0,6,55],[1,2,14],[1,3,83],[1,4,11],[1,5,89],[1,6,93],[2,3,18],[2,4,59],[2,5,30],[2,6,22],[3,4,73],[3,5,75],[4,5,68],[4,6,83],[5,6,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,81],[0,3,65],[0,4,81],[0,5,99],[0,6,55],[1,2,14],[1,3,83],[1,4,11],[1,5,89],[1,6,93],[2,3,18],[2,4,59],[2,5,30],[2,6,22],[3,4,73],[3,5,75],[4,5,68],[4,6,83],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,81],[0,3,65],[0,4,81],[0,5,99],[0,6,55],[1,2,14],[1,3,83],[1,4,11],[1,5,89],[1,6,93],[2,3,18],[2,4,59],[2,5,30],[2,6,22],[3,4,73],[3,5,75],[4,5,68],[4,6,83],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (2,5)\"],\"Answer\":117}",
"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],[0,2,81],[0,3,65],[0,4,81],[0,5,99],[0,6,55],[1,2,14],[1,3,83],[1,4,11],[1,5,89],[1,6,93],[2,3,18],[2,4,59],[2,5,30],[2,6,22],[3,4,73],[3,5,75],[4,5,68],[4,6,83],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11, w=11\",\"Add (1,2)=14, w=25\",\"Add (2,3)=18, w=43\",\"Add (0,1)=22, w=65\",\"Add (2,6)=22, w=87\",\"Add (2,5)=30, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,81],[0,3,65],[0,4,81],[0,5,99],[0,6,55],[1,2,14],[1,3,83],[1,4,11],[1,5,89],[1,6,93],[2,3,18],[2,4,59],[2,5,30],[2,6,22],[3,4,73],[3,5,75],[4,5,68],[4,6,83],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11 Succeeded, w=11\",\"Add (1,2)=14 Succeeded, w=25\",\"Add (2,3)=18 Succeeded, w=43\",\"Add (0,1)=22 Succeeded, w=65\",\"Add (2,6)=22 Succeeded, w=87\",\"Add (2,5)=30 Succeeded, w=117\",\"Add (0,6)=55 Failed, w=117\",\"Add (2,4)=59 Failed, w=117\",\"Add (0,3)=65 Failed, w=117\",\"Add (4,5)=68 Failed, w=117\",\"Add (5,6)=72 Failed, w=117\",\"Add (3,4)=73 Failed, w=117\",\"Add (3,5)=75 Failed, w=117\",\"Add (0,2)=81 Failed, w=117\",\"Add (0,4)=81 Failed, w=117\",\"Add (1,3)=83 Failed, w=117\",\"Add (4,6)=83 Failed, w=117\",\"Add (1,5)=89 Failed, w=117\",\"Add (1,6)=93 Failed, w=117\",\"Add (0,5)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,81],[0,3,65],[0,4,81],[0,5,99],[0,6,55],[1,2,14],[1,3,83],[1,4,11],[1,5,89],[1,6,93],[2,3,18],[2,4,59],[2,5,30],[2,6,22],[3,4,73],[3,5,75],[4,5,68],[4,6,83],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(1,2)=14,(2,3)=18,(0,1)=22,(2,6)=22,(2,5)=30,(0,6)=55,(2,4)=59,(0,3)=65,(4,5)=68,(5,6)=72,(3,4)=73,(3,5)=75,(0,2)=81,(0,4)=81,(1,3)=83,(4,6)=83,(1,5)=89,(1,6)=93,(0,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=25\",\"Find(2)=1, Find(3)=3, Add (2,3)=18 Succeeded, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=65\",\"Find(2)=1, Find(6)=6, Add (2,6)=22 Succeeded, w=87\",\"Find(2)=1, Find(5)=5, Add (2,5)=30 Succeeded, w=117\",\"Find(0)=1, Find(6)=1, Add (0,6)=55 Failed, w=117\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=117\",\"Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=117\",\"Find(4)=1, Find(5)=1, Add (4,5)=68 Failed, w=117\",\"Find(5)=1, Find(6)=1, Add (5,6)=72 Failed, w=117\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=117\",\"Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=117\",\"Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=117\",\"Find(0)=1, Find(4)=1, Add (0,4)=81 Failed, w=117\",\"Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=117\",\"Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=117\",\"Find(1)=1, Find(5)=1, Add (1,5)=89 Failed, w=117\",\"Find(1)=1, Find(6)=1, Add (1,6)=93 Failed, w=117\",\"Find(0)=1, Find(5)=1, Add (0,5)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,81],[0,3,65],[0,4,81],[0,5,99],[0,6,55],[1,2,14],[1,3,83],[1,4,11],[1,5,89],[1,6,93],[2,3,18],[2,4,59],[2,5,30],[2,6,22],[3,4,73],[3,5,75],[4,5,68],[4,6,83],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(1,2)=14,(2,3)=18,(0,1)=22,(2,6)=22,(2,5)=30,(0,6)=55,(2,4)=59,(0,3)=65,(4,5)=68,(5,6)=72,(3,4)=73,(3,5)=75,(0,2)=81,(0,4)=81,(1,3)=83,(4,6)=83,(1,5)=89,(1,6)=93,(0,5)=99]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=18 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=22 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=5, Add (2,5)=30 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=55 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=68 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=72 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=81 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=89 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=93 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,5],[0,3,24],[0,6,23],[1,2,97],[1,4,82],[2,3,14],[2,4,50],[2,5,100],[2,6,31],[3,5,5],[3,6,10],[4,5,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,5],[0,3,24],[0,6,23],[1,2,97],[1,4,82],[2,3,14],[2,4,50],[2,5,100],[2,6,31],[3,5,5],[3,6,10],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,5],[0,3,24],[0,6,23],[1,2,97],[1,4,82],[2,3,14],[2,4,50],[2,5,100],[2,6,31],[3,5,5],[3,6,10],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,5],[0,3,24],[0,6,23],[1,2,97],[1,4,82],[2,3,14],[2,4,50],[2,5,100],[2,6,31],[3,5,5],[3,6,10],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (3,5)=5, w=10\",\"Add (4,5)=6, w=16\",\"Add (3,6)=10, w=26\",\"Add (2,3)=14, w=40\",\"Add (1,4)=82, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,5],[0,3,24],[0,6,23],[1,2,97],[1,4,82],[2,3,14],[2,4,50],[2,5,100],[2,6,31],[3,5,5],[3,6,10],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (3,5)=5 Succeeded, w=10\",\"Add (4,5)=6 Succeeded, w=16\",\"Add (3,6)=10 Succeeded, w=26\",\"Add (2,3)=14 Succeeded, w=40\",\"Add (0,6)=23 Failed, w=40\",\"Add (0,3)=24 Failed, w=40\",\"Add (2,6)=31 Failed, w=40\",\"Add (2,4)=50 Failed, w=40\",\"Add (1,4)=82 Succeeded, w=122\",\"Add (1,2)=97 Failed, w=122\",\"Add (2,5)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,5],[0,3,24],[0,6,23],[1,2,97],[1,4,82],[2,3,14],[2,4,50],[2,5,100],[2,6,31],[3,5,5],[3,6,10],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(3,5)=5,(4,5)=6,(3,6)=10,(2,3)=14,(0,6)=23,(0,3)=24,(2,6)=31,(2,4)=50,(1,4)=82,(1,2)=97,(2,5)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=10\",\"Find(4)=4, Find(5)=3, Add (4,5)=6 Succeeded, w=16\",\"Find(3)=3, Find(6)=6, Add (3,6)=10 Succeeded, w=26\",\"Find(2)=0, Find(3)=3, Add (2,3)=14 Succeeded, w=40\",\"Find(0)=0, Find(6)=0, Add (0,6)=23 Failed, w=40\",\"Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=40\",\"Find(2)=0, Find(6)=0, Add (2,6)=31 Failed, w=40\",\"Find(2)=0, Find(4)=0, Add (2,4)=50 Failed, w=40\",\"Find(1)=1, Find(4)=0, Add (1,4)=82 Succeeded, w=122\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=122\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,5],[0,3,24],[0,6,23],[1,2,97],[1,4,82],[2,3,14],[2,4,50],[2,5,100],[2,6,31],[3,5,5],[3,6,10],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(3,5)=5,(4,5)=6,(3,6)=10,(2,3)=14,(0,6)=23,(0,3)=24,(2,6)=31,(2,4)=50,(1,4)=82,(1,2)=97,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=4, Find(5)=3, Add (4,5)=6 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=10 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3, 6: 3}, Find(2)=0, Find(3)=3, Add (2,3)=14 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=23 Failed, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=31 Failed, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=50 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=82 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,54],[0,3,81],[1,2,3],[1,3,43],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[0,3,81],[1,2,3],[1,3,43],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[0,3,81],[1,2,3],[1,3,43],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[0,3,81],[1,2,3],[1,3,43],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (1,3)=43, w=46\",\"Add (0,2)=54, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[0,3,81],[1,2,3],[1,3,43],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (1,3)=43 Succeeded, w=46\",\"Add (2,3)=45 Failed, w=46\",\"Add (0,2)=54 Succeeded, w=100\",\"Add (0,3)=81 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[0,3,81],[1,2,3],[1,3,43],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,3)=43,(2,3)=45,(0,2)=54,(0,3)=81]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=46\",\"Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=46\",\"Find(0)=0, Find(2)=1, Add (0,2)=54 Succeeded, w=100\",\"Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,54],[0,3,81],[1,2,3],[1,3,43],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,3)=43,(2,3)=45,(0,2)=54,(0,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=54 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,53],[2,3,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,53],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,53],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,53],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9, w=9\",\"Add (0,2)=53, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,53],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9 Succeeded, w=9\",\"Add (0,2)=53 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,53],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,2)=53]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,53],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,2)=53]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,2,85],[0,3,79],[0,4,26],[0,5,93],[0,6,95],[1,3,26],[2,3,16],[2,5,21],[3,4,94],[3,5,49],[5,6,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,85],[0,3,79],[0,4,26],[0,5,93],[0,6,95],[1,3,26],[2,3,16],[2,5,21],[3,4,94],[3,5,49],[5,6,15]]}",
"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\":[[0,1,27],[0,2,85],[0,3,79],[0,4,26],[0,5,93],[0,6,95],[1,3,26],[2,3,16],[2,5,21],[3,4,94],[3,5,49],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,85],[0,3,79],[0,4,26],[0,5,93],[0,6,95],[1,3,26],[2,3,16],[2,5,21],[3,4,94],[3,5,49],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=15, w=15\",\"Add (2,3)=16, w=31\",\"Add (2,5)=21, w=52\",\"Add (0,4)=26, w=78\",\"Add (1,3)=26, w=104\",\"Add (0,1)=27, 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\":[[0,1,27],[0,2,85],[0,3,79],[0,4,26],[0,5,93],[0,6,95],[1,3,26],[2,3,16],[2,5,21],[3,4,94],[3,5,49],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=15 Succeeded, w=15\",\"Add (2,3)=16 Succeeded, w=31\",\"Add (2,5)=21 Succeeded, w=52\",\"Add (0,4)=26 Succeeded, w=78\",\"Add (1,3)=26 Succeeded, w=104\",\"Add (0,1)=27 Succeeded, w=131\",\"Add (3,5)=49 Failed, w=131\",\"Add (0,3)=79 Failed, w=131\",\"Add (0,2)=85 Failed, w=131\",\"Add (0,5)=93 Failed, w=131\",\"Add (3,4)=94 Failed, w=131\",\"Add (0,6)=95 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\":[[0,1,27],[0,2,85],[0,3,79],[0,4,26],[0,5,93],[0,6,95],[1,3,26],[2,3,16],[2,5,21],[3,4,94],[3,5,49],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=15,(2,3)=16,(2,5)=21,(0,4)=26,(1,3)=26,(0,1)=27,(3,5)=49,(0,3)=79,(0,2)=85,(0,5)=93,(3,4)=94,(0,6)=95]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=31\",\"Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=52\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=78\",\"Find(1)=1, Find(3)=2, Add (1,3)=26 Succeeded, w=104\",\"Find(0)=0, Find(1)=2, Add (0,1)=27 Succeeded, w=131\",\"Find(3)=2, Find(5)=2, Add (3,5)=49 Failed, w=131\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=131\",\"Find(0)=2, Find(2)=2, Add (0,2)=85 Failed, w=131\",\"Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=131\",\"Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=131\",\"Find(0)=2, Find(6)=2, Add (0,6)=95 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\":[[0,1,27],[0,2,85],[0,3,79],[0,4,26],[0,5,93],[0,6,95],[1,3,26],[2,3,16],[2,5,21],[3,4,94],[3,5,49],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=15,(2,3)=16,(2,5)=21,(0,4)=26,(1,3)=26,(0,1)=27,(3,5)=49,(0,3)=79,(0,2)=85,(0,5)=93,(3,4)=94,(0,6)=95]\",\"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)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 5}, Find(1)=1, Find(3)=2, Add (1,3)=26 Succeeded, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 5}, Find(0)=0, Find(1)=2, Add (0,1)=27 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 5}, Find(3)=2, Find(5)=2, Add (3,5)=49 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 5}, Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 5}, Find(0)=2, Find(2)=2, Add (0,2)=85 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 5}, Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=95 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,2,47],[0,4,0],[0,6,22],[0,7,83],[1,2,72],[1,3,52],[1,4,91],[1,5,76],[1,6,45],[1,7,32],[2,3,42],[2,4,59],[2,6,73],[3,4,3],[3,5,82],[3,6,45],[3,7,49],[4,5,80],[4,6,15],[4,7,52],[5,6,37],[6,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,47],[0,4,0],[0,6,22],[0,7,83],[1,2,72],[1,3,52],[1,4,91],[1,5,76],[1,6,45],[1,7,32],[2,3,42],[2,4,59],[2,6,73],[3,4,3],[3,5,82],[3,6,45],[3,7,49],[4,5,80],[4,6,15],[4,7,52],[5,6,37],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,47],[0,4,0],[0,6,22],[0,7,83],[1,2,72],[1,3,52],[1,4,91],[1,5,76],[1,6,45],[1,7,32],[2,3,42],[2,4,59],[2,6,73],[3,4,3],[3,5,82],[3,6,45],[3,7,49],[4,5,80],[4,6,15],[4,7,52],[5,6,37],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (4,6)\",\"Add (1,7)\",\"Add (5,6)\",\"Add (2,3)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,47],[0,4,0],[0,6,22],[0,7,83],[1,2,72],[1,3,52],[1,4,91],[1,5,76],[1,6,45],[1,7,32],[2,3,42],[2,4,59],[2,6,73],[3,4,3],[3,5,82],[3,6,45],[3,7,49],[4,5,80],[4,6,15],[4,7,52],[5,6,37],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (3,4)=3, w=3\",\"Add (6,7)=4, w=7\",\"Add (4,6)=15, w=22\",\"Add (1,7)=32, w=54\",\"Add (5,6)=37, w=91\",\"Add (2,3)=42, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,47],[0,4,0],[0,6,22],[0,7,83],[1,2,72],[1,3,52],[1,4,91],[1,5,76],[1,6,45],[1,7,32],[2,3,42],[2,4,59],[2,6,73],[3,4,3],[3,5,82],[3,6,45],[3,7,49],[4,5,80],[4,6,15],[4,7,52],[5,6,37],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (3,4)=3 Succeeded, w=3\",\"Add (6,7)=4 Succeeded, w=7\",\"Add (4,6)=15 Succeeded, w=22\",\"Add (0,6)=22 Failed, w=22\",\"Add (1,7)=32 Succeeded, w=54\",\"Add (5,6)=37 Succeeded, w=91\",\"Add (2,3)=42 Succeeded, w=133\",\"Add (1,6)=45 Failed, w=133\",\"Add (3,6)=45 Failed, w=133\",\"Add (0,2)=47 Failed, w=133\",\"Add (0,1)=49 Failed, w=133\",\"Add (3,7)=49 Failed, w=133\",\"Add (1,3)=52 Failed, w=133\",\"Add (4,7)=52 Failed, w=133\",\"Add (2,4)=59 Failed, w=133\",\"Add (1,2)=72 Failed, w=133\",\"Add (2,6)=73 Failed, w=133\",\"Add (1,5)=76 Failed, w=133\",\"Add (4,5)=80 Failed, w=133\",\"Add (3,5)=82 Failed, w=133\",\"Add (0,7)=83 Failed, w=133\",\"Add (1,4)=91 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,47],[0,4,0],[0,6,22],[0,7,83],[1,2,72],[1,3,52],[1,4,91],[1,5,76],[1,6,45],[1,7,32],[2,3,42],[2,4,59],[2,6,73],[3,4,3],[3,5,82],[3,6,45],[3,7,49],[4,5,80],[4,6,15],[4,7,52],[5,6,37],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(3,4)=3,(6,7)=4,(4,6)=15,(0,6)=22,(1,7)=32,(5,6)=37,(2,3)=42,(1,6)=45,(3,6)=45,(0,2)=47,(0,1)=49,(3,7)=49,(1,3)=52,(4,7)=52,(2,4)=59,(1,2)=72,(2,6)=73,(1,5)=76,(4,5)=80,(3,5)=82,(0,7)=83,(1,4)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=0, Add (3,4)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=7\",\"Find(4)=0, Find(6)=6, Add (4,6)=15 Succeeded, w=22\",\"Find(0)=0, Find(6)=0, Add (0,6)=22 Failed, w=22\",\"Find(1)=1, Find(7)=0, Add (1,7)=32 Succeeded, w=54\",\"Find(5)=5, Find(6)=0, Add (5,6)=37 Succeeded, w=91\",\"Find(2)=2, Find(3)=0, Add (2,3)=42 Succeeded, w=133\",\"Find(1)=0, Find(6)=0, Add (1,6)=45 Failed, w=133\",\"Find(3)=0, Find(6)=0, Add (3,6)=45 Failed, w=133\",\"Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=133\",\"Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=133\",\"Find(3)=0, Find(7)=0, Add (3,7)=49 Failed, w=133\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=133\",\"Find(4)=0, Find(7)=0, Add (4,7)=52 Failed, w=133\",\"Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=133\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=133\",\"Find(2)=0, Find(6)=0, Add (2,6)=73 Failed, w=133\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=133\",\"Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=133\",\"Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=133\",\"Find(0)=0, Find(7)=0, Add (0,7)=83 Failed, w=133\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,47],[0,4,0],[0,6,22],[0,7,83],[1,2,72],[1,3,52],[1,4,91],[1,5,76],[1,6,45],[1,7,32],[2,3,42],[2,4,59],[2,6,73],[3,4,3],[3,5,82],[3,6,45],[3,7,49],[4,5,80],[4,6,15],[4,7,52],[5,6,37],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(3,4)=3,(6,7)=4,(4,6)=15,(0,6)=22,(1,7)=32,(5,6)=37,(2,3)=42,(1,6)=45,(3,6)=45,(0,2)=47,(0,1)=49,(3,7)=49,(1,3)=52,(4,7)=52,(2,4)=59,(1,2)=72,(2,6)=73,(1,5)=76,(4,5)=80,(3,5)=82,(0,7)=83,(1,4)=91]\",\"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: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=0, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 6}, Find(4)=0, Find(6)=6, Add (4,6)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(6)=0, Add (0,6)=22 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=32 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(6)=0, Add (5,6)=37 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(3)=0, Add (2,3)=42 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=45 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=45 Failed, w=133\",\"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)=47 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=133\",\"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)=49 Failed, w=133\",\"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)=52 Failed, w=133\",\"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)=52 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=133\",\"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)=73 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=133\",\"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)=80 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=83 Failed, w=133\",\"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)=91 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,2,86],[0,3,53],[0,5,2],[0,7,59],[1,2,34],[1,3,3],[1,4,76],[1,6,48],[1,7,90],[2,3,35],[2,4,5],[2,5,24],[2,7,82],[3,4,71],[3,5,54],[3,6,13],[3,7,44],[4,6,80],[5,6,87],[5,7,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,53],[0,5,2],[0,7,59],[1,2,34],[1,3,3],[1,4,76],[1,6,48],[1,7,90],[2,3,35],[2,4,5],[2,5,24],[2,7,82],[3,4,71],[3,5,54],[3,6,13],[3,7,44],[4,6,80],[5,6,87],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,53],[0,5,2],[0,7,59],[1,2,34],[1,3,3],[1,4,76],[1,6,48],[1,7,90],[2,3,35],[2,4,5],[2,5,24],[2,7,82],[3,4,71],[3,5,54],[3,6,13],[3,7,44],[4,6,80],[5,6,87],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (3,7)\"],\"Answer\":101}",
"role": "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],[0,2,86],[0,3,53],[0,5,2],[0,7,59],[1,2,34],[1,3,3],[1,4,76],[1,6,48],[1,7,90],[2,3,35],[2,4,5],[2,5,24],[2,7,82],[3,4,71],[3,5,54],[3,6,13],[3,7,44],[4,6,80],[5,6,87],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (1,3)=3, w=5\",\"Add (2,4)=5, w=10\",\"Add (0,1)=10, w=20\",\"Add (3,6)=13, w=33\",\"Add (2,5)=24, w=57\",\"Add (3,7)=44, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,53],[0,5,2],[0,7,59],[1,2,34],[1,3,3],[1,4,76],[1,6,48],[1,7,90],[2,3,35],[2,4,5],[2,5,24],[2,7,82],[3,4,71],[3,5,54],[3,6,13],[3,7,44],[4,6,80],[5,6,87],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (1,3)=3 Succeeded, w=5\",\"Add (2,4)=5 Succeeded, w=10\",\"Add (0,1)=10 Succeeded, w=20\",\"Add (3,6)=13 Succeeded, w=33\",\"Add (2,5)=24 Succeeded, w=57\",\"Add (1,2)=34 Failed, w=57\",\"Add (2,3)=35 Failed, w=57\",\"Add (3,7)=44 Succeeded, w=101\",\"Add (1,6)=48 Failed, w=101\",\"Add (0,3)=53 Failed, w=101\",\"Add (3,5)=54 Failed, w=101\",\"Add (0,7)=59 Failed, w=101\",\"Add (3,4)=71 Failed, w=101\",\"Add (5,7)=74 Failed, w=101\",\"Add (1,4)=76 Failed, w=101\",\"Add (4,6)=80 Failed, w=101\",\"Add (2,7)=82 Failed, w=101\",\"Add (0,2)=86 Failed, w=101\",\"Add (5,6)=87 Failed, w=101\",\"Add (1,7)=90 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,53],[0,5,2],[0,7,59],[1,2,34],[1,3,3],[1,4,76],[1,6,48],[1,7,90],[2,3,35],[2,4,5],[2,5,24],[2,7,82],[3,4,71],[3,5,54],[3,6,13],[3,7,44],[4,6,80],[5,6,87],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(1,3)=3,(2,4)=5,(0,1)=10,(3,6)=13,(2,5)=24,(1,2)=34,(2,3)=35,(3,7)=44,(1,6)=48,(0,3)=53,(3,5)=54,(0,7)=59,(3,4)=71,(5,7)=74,(1,4)=76,(4,6)=80,(2,7)=82,(0,2)=86,(5,6)=87,(1,7)=90]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=20\",\"Find(3)=0, Find(6)=6, Add (3,6)=13 Succeeded, w=33\",\"Find(2)=2, Find(5)=0, Add (2,5)=24 Succeeded, w=57\",\"Find(1)=0, Find(2)=0, Add (1,2)=34 Failed, w=57\",\"Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=57\",\"Find(3)=0, Find(7)=7, Add (3,7)=44 Succeeded, w=101\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=101\",\"Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=101\",\"Find(3)=0, Find(5)=0, Add (3,5)=54 Failed, w=101\",\"Find(0)=0, Find(7)=0, Add (0,7)=59 Failed, w=101\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=101\",\"Find(5)=0, Find(7)=0, Add (5,7)=74 Failed, w=101\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=101\",\"Find(4)=0, Find(6)=0, Add (4,6)=80 Failed, w=101\",\"Find(2)=0, Find(7)=0, Add (2,7)=82 Failed, w=101\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=101\",\"Find(5)=0, Find(6)=0, Add (5,6)=87 Failed, w=101\",\"Find(1)=0, Find(7)=0, Add (1,7)=90 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,86],[0,3,53],[0,5,2],[0,7,59],[1,2,34],[1,3,3],[1,4,76],[1,6,48],[1,7,90],[2,3,35],[2,4,5],[2,5,24],[2,7,82],[3,4,71],[3,5,54],[3,6,13],[3,7,44],[4,6,80],[5,6,87],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(1,3)=3,(2,4)=5,(0,1)=10,(3,6)=13,(2,5)=24,(1,2)=34,(2,3)=35,(3,7)=44,(1,6)=48,(0,3)=53,(3,5)=54,(0,7)=59,(3,4)=71,(5,7)=74,(1,4)=76,(4,6)=80,(2,7)=82,(0,2)=86,(5,6)=87,(1,7)=90]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 0, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 2, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(6)=6, Add (3,6)=13 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 7}, Find(2)=2, Find(5)=0, Add (2,5)=24 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(2)=0, Add (1,2)=34 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=44 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=54 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=59 Failed, w=101\",\"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)=71 Failed, w=101\",\"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)=74 Failed, w=101\",\"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)=76 Failed, w=101\",\"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)=80 Failed, w=101\",\"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)=82 Failed, w=101\",\"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)=86 Failed, w=101\",\"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)=87 Failed, w=101\",\"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)=90 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,96],[0,3,70],[1,3,74],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96],[0,3,70],[1,3,74],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96],[0,3,70],[1,3,74],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96],[0,3,70],[1,3,74],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (0,3)=70, w=85\",\"Add (1,3)=74, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96],[0,3,70],[1,3,74],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (0,3)=70 Succeeded, w=85\",\"Add (1,3)=74 Succeeded, w=159\",\"Add (0,2)=96 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96],[0,3,70],[1,3,74],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,3)=70,(1,3)=74,(0,2)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=2, Add (0,3)=70 Succeeded, w=85\",\"Find(1)=1, Find(3)=2, Add (1,3)=74 Succeeded, w=159\",\"Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,96],[0,3,70],[1,3,74],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,3)=70,(1,3)=74,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=70 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=74 Succeeded, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,87],[0,3,64],[1,2,3],[1,3,11],[2,3,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,87],[0,3,64],[1,2,3],[1,3,11],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,87],[0,3,64],[1,2,3],[1,3,11],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,87],[0,3,64],[1,2,3],[1,3,11],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (1,3)=11, w=14\",\"Add (0,3)=64, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,87],[0,3,64],[1,2,3],[1,3,11],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (1,3)=11 Succeeded, w=14\",\"Add (2,3)=35 Failed, w=14\",\"Add (0,3)=64 Succeeded, w=78\",\"Add (0,2)=87 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,87],[0,3,64],[1,2,3],[1,3,11],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,3)=11,(2,3)=35,(0,3)=64,(0,2)=87]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=14\",\"Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=14\",\"Find(0)=0, Find(3)=1, Add (0,3)=64 Succeeded, w=78\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,87],[0,3,64],[1,2,3],[1,3,11],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,3)=11,(2,3)=35,(0,3)=64,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=64 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,20],[0,2,71],[1,2,12],[1,3,7],[2,3,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,71],[1,2,12],[1,3,7],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,71],[1,2,12],[1,3,7],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,71],[1,2,12],[1,3,7],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (1,2)=12, w=19\",\"Add (0,1)=20, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,71],[1,2,12],[1,3,7],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (1,2)=12 Succeeded, w=19\",\"Add (0,1)=20 Succeeded, w=39\",\"Add (2,3)=40 Failed, w=39\",\"Add (0,2)=71 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,71],[1,2,12],[1,3,7],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(1,2)=12,(0,1)=20,(2,3)=40,(0,2)=71]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=39\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=39\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,71],[1,2,12],[1,3,7],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(1,2)=12,(0,1)=20,(2,3)=40,(0,2)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,96],[0,2,69],[0,3,98],[0,4,19],[0,5,11],[0,6,9],[0,7,43],[1,2,36],[1,3,77],[1,4,39],[1,5,88],[1,6,6],[1,7,46],[2,3,70],[2,4,11],[2,5,21],[2,6,66],[2,7,57],[3,4,28],[3,5,75],[3,6,61],[3,7,14],[4,5,15],[4,6,48],[4,7,3],[5,6,58],[5,7,26],[6,7,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,69],[0,3,98],[0,4,19],[0,5,11],[0,6,9],[0,7,43],[1,2,36],[1,3,77],[1,4,39],[1,5,88],[1,6,6],[1,7,46],[2,3,70],[2,4,11],[2,5,21],[2,6,66],[2,7,57],[3,4,28],[3,5,75],[3,6,61],[3,7,14],[4,5,15],[4,6,48],[4,7,3],[5,6,58],[5,7,26],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,69],[0,3,98],[0,4,19],[0,5,11],[0,6,9],[0,7,43],[1,2,36],[1,3,77],[1,4,39],[1,5,88],[1,6,6],[1,7,46],[2,3,70],[2,4,11],[2,5,21],[2,6,66],[2,7,57],[3,4,28],[3,5,75],[3,6,61],[3,7,14],[4,5,15],[4,6,48],[4,7,3],[5,6,58],[5,7,26],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (6,7)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (3,7)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,69],[0,3,98],[0,4,19],[0,5,11],[0,6,9],[0,7,43],[1,2,36],[1,3,77],[1,4,39],[1,5,88],[1,6,6],[1,7,46],[2,3,70],[2,4,11],[2,5,21],[2,6,66],[2,7,57],[3,4,28],[3,5,75],[3,6,61],[3,7,14],[4,5,15],[4,6,48],[4,7,3],[5,6,58],[5,7,26],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3, w=3\",\"Add (6,7)=3, w=6\",\"Add (1,6)=6, w=12\",\"Add (0,6)=9, w=21\",\"Add (0,5)=11, w=32\",\"Add (2,4)=11, w=43\",\"Add (3,7)=14, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,69],[0,3,98],[0,4,19],[0,5,11],[0,6,9],[0,7,43],[1,2,36],[1,3,77],[1,4,39],[1,5,88],[1,6,6],[1,7,46],[2,3,70],[2,4,11],[2,5,21],[2,6,66],[2,7,57],[3,4,28],[3,5,75],[3,6,61],[3,7,14],[4,5,15],[4,6,48],[4,7,3],[5,6,58],[5,7,26],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3 Succeeded, w=3\",\"Add (6,7)=3 Succeeded, w=6\",\"Add (1,6)=6 Succeeded, w=12\",\"Add (0,6)=9 Succeeded, w=21\",\"Add (0,5)=11 Succeeded, w=32\",\"Add (2,4)=11 Succeeded, w=43\",\"Add (3,7)=14 Succeeded, w=57\",\"Add (4,5)=15 Failed, w=57\",\"Add (0,4)=19 Failed, w=57\",\"Add (2,5)=21 Failed, w=57\",\"Add (5,7)=26 Failed, w=57\",\"Add (3,4)=28 Failed, w=57\",\"Add (1,2)=36 Failed, w=57\",\"Add (1,4)=39 Failed, w=57\",\"Add (0,7)=43 Failed, w=57\",\"Add (1,7)=46 Failed, w=57\",\"Add (4,6)=48 Failed, w=57\",\"Add (2,7)=57 Failed, w=57\",\"Add (5,6)=58 Failed, w=57\",\"Add (3,6)=61 Failed, w=57\",\"Add (2,6)=66 Failed, w=57\",\"Add (0,2)=69 Failed, w=57\",\"Add (2,3)=70 Failed, w=57\",\"Add (3,5)=75 Failed, w=57\",\"Add (1,3)=77 Failed, w=57\",\"Add (1,5)=88 Failed, w=57\",\"Add (0,1)=96 Failed, w=57\",\"Add (0,3)=98 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,69],[0,3,98],[0,4,19],[0,5,11],[0,6,9],[0,7,43],[1,2,36],[1,3,77],[1,4,39],[1,5,88],[1,6,6],[1,7,46],[2,3,70],[2,4,11],[2,5,21],[2,6,66],[2,7,57],[3,4,28],[3,5,75],[3,6,61],[3,7,14],[4,5,15],[4,6,48],[4,7,3],[5,6,58],[5,7,26],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(6,7)=3,(1,6)=6,(0,6)=9,(0,5)=11,(2,4)=11,(3,7)=14,(4,5)=15,(0,4)=19,(2,5)=21,(5,7)=26,(3,4)=28,(1,2)=36,(1,4)=39,(0,7)=43,(1,7)=46,(4,6)=48,(2,7)=57,(5,6)=58,(3,6)=61,(2,6)=66,(0,2)=69,(2,3)=70,(3,5)=75,(1,3)=77,(1,5)=88,(0,1)=96,(0,3)=98]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=4, Add (6,7)=3 Succeeded, w=6\",\"Find(1)=1, Find(6)=4, Add (1,6)=6 Succeeded, w=12\",\"Find(0)=0, Find(6)=4, Add (0,6)=9 Succeeded, w=21\",\"Find(0)=4, Find(5)=5, Add (0,5)=11 Succeeded, w=32\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=43\",\"Find(3)=3, Find(7)=4, Add (3,7)=14 Succeeded, w=57\",\"Find(4)=4, Find(5)=4, Add (4,5)=15 Failed, w=57\",\"Find(0)=4, Find(4)=4, Add (0,4)=19 Failed, w=57\",\"Find(2)=4, Find(5)=4, Add (2,5)=21 Failed, w=57\",\"Find(5)=4, Find(7)=4, Add (5,7)=26 Failed, w=57\",\"Find(3)=4, Find(4)=4, Add (3,4)=28 Failed, w=57\",\"Find(1)=4, Find(2)=4, Add (1,2)=36 Failed, w=57\",\"Find(1)=4, Find(4)=4, Add (1,4)=39 Failed, w=57\",\"Find(0)=4, Find(7)=4, Add (0,7)=43 Failed, w=57\",\"Find(1)=4, Find(7)=4, Add (1,7)=46 Failed, w=57\",\"Find(4)=4, Find(6)=4, Add (4,6)=48 Failed, w=57\",\"Find(2)=4, Find(7)=4, Add (2,7)=57 Failed, w=57\",\"Find(5)=4, Find(6)=4, Add (5,6)=58 Failed, w=57\",\"Find(3)=4, Find(6)=4, Add (3,6)=61 Failed, w=57\",\"Find(2)=4, Find(6)=4, Add (2,6)=66 Failed, w=57\",\"Find(0)=4, Find(2)=4, Add (0,2)=69 Failed, w=57\",\"Find(2)=4, Find(3)=4, Add (2,3)=70 Failed, w=57\",\"Find(3)=4, Find(5)=4, Add (3,5)=75 Failed, w=57\",\"Find(1)=4, Find(3)=4, Add (1,3)=77 Failed, w=57\",\"Find(1)=4, Find(5)=4, Add (1,5)=88 Failed, w=57\",\"Find(0)=4, Find(1)=4, Add (0,1)=96 Failed, w=57\",\"Find(0)=4, Find(3)=4, Add (0,3)=98 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,69],[0,3,98],[0,4,19],[0,5,11],[0,6,9],[0,7,43],[1,2,36],[1,3,77],[1,4,39],[1,5,88],[1,6,6],[1,7,46],[2,3,70],[2,4,11],[2,5,21],[2,6,66],[2,7,57],[3,4,28],[3,5,75],[3,6,61],[3,7,14],[4,5,15],[4,6,48],[4,7,3],[5,6,58],[5,7,26],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(6,7)=3,(1,6)=6,(0,6)=9,(0,5)=11,(2,4)=11,(3,7)=14,(4,5)=15,(0,4)=19,(2,5)=21,(5,7)=26,(3,4)=28,(1,2)=36,(1,4)=39,(0,7)=43,(1,7)=46,(4,6)=48,(2,7)=57,(5,6)=58,(3,6)=61,(2,6)=66,(0,2)=69,(2,3)=70,(3,5)=75,(1,3)=77,(1,5)=88,(0,1)=96,(0,3)=98]\",\"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: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(6)=6, Find(7)=4, Add (6,7)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(1)=1, Find(6)=4, Add (1,6)=6 Succeeded, w=12\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(0)=0, Find(6)=4, Add (0,6)=9 Succeeded, w=21\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=5, Add (0,5)=11 Succeeded, w=32\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=43\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=14 Succeeded, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=4, Add (4,5)=15 Failed, w=57\",\"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)=19 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=21 Failed, w=57\",\"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)=26 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=28 Failed, w=57\",\"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)=36 Failed, w=57\",\"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)=39 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=43 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=46 Failed, w=57\",\"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)=48 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=57 Failed, w=57\",\"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)=58 Failed, w=57\",\"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)=61 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=66 Failed, w=57\",\"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)=69 Failed, w=57\",\"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)=70 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=75 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=77 Failed, w=57\",\"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)=88 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=96 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=98 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,58],[0,3,18],[0,4,28],[1,3,4],[2,3,23],[2,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,3,18],[0,4,28],[1,3,4],[2,3,23],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,3,18],[0,4,28],[1,3,4],[2,3,23],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,3,18],[0,4,28],[1,3,4],[2,3,23],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,3)=18, w=22\",\"Add (2,3)=23, w=45\",\"Add (0,4)=28, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,3,18],[0,4,28],[1,3,4],[2,3,23],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,3)=18 Succeeded, w=22\",\"Add (2,3)=23 Succeeded, w=45\",\"Add (0,4)=28 Succeeded, w=73\",\"Add (2,4)=48 Failed, w=73\",\"Add (0,1)=58 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,3,18],[0,4,28],[1,3,4],[2,3,23],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,3)=18,(2,3)=23,(0,4)=28,(2,4)=48,(0,1)=58]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=1, Add (0,3)=18 Succeeded, w=22\",\"Find(2)=2, Find(3)=1, Add (2,3)=23 Succeeded, w=45\",\"Find(0)=1, Find(4)=4, Add (0,4)=28 Succeeded, w=73\",\"Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=73\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,3,18],[0,4,28],[1,3,4],[2,3,23],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,3)=18,(2,3)=23,(0,4)=28,(2,4)=48,(0,1)=58]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=18 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=23 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=28 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,39],[0,2,40],[0,5,33],[0,6,76],[1,2,37],[1,3,35],[1,4,72],[1,5,69],[2,3,4],[2,5,21],[2,6,58],[3,4,14],[4,5,46],[4,6,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,40],[0,5,33],[0,6,76],[1,2,37],[1,3,35],[1,4,72],[1,5,69],[2,3,4],[2,5,21],[2,6,58],[3,4,14],[4,5,46],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,40],[0,5,33],[0,6,76],[1,2,37],[1,3,35],[1,4,72],[1,5,69],[2,3,4],[2,5,21],[2,6,58],[3,4,14],[4,5,46],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (4,6)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,40],[0,5,33],[0,6,76],[1,2,37],[1,3,35],[1,4,72],[1,5,69],[2,3,4],[2,5,21],[2,6,58],[3,4,14],[4,5,46],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (3,4)=14, w=18\",\"Add (2,5)=21, w=39\",\"Add (0,5)=33, w=72\",\"Add (1,3)=35, w=107\",\"Add (4,6)=44, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,40],[0,5,33],[0,6,76],[1,2,37],[1,3,35],[1,4,72],[1,5,69],[2,3,4],[2,5,21],[2,6,58],[3,4,14],[4,5,46],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (3,4)=14 Succeeded, w=18\",\"Add (2,5)=21 Succeeded, w=39\",\"Add (0,5)=33 Succeeded, w=72\",\"Add (1,3)=35 Succeeded, w=107\",\"Add (1,2)=37 Failed, w=107\",\"Add (0,1)=39 Failed, w=107\",\"Add (0,2)=40 Failed, w=107\",\"Add (4,6)=44 Succeeded, w=151\",\"Add (4,5)=46 Failed, w=151\",\"Add (2,6)=58 Failed, w=151\",\"Add (1,5)=69 Failed, w=151\",\"Add (1,4)=72 Failed, w=151\",\"Add (0,6)=76 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,40],[0,5,33],[0,6,76],[1,2,37],[1,3,35],[1,4,72],[1,5,69],[2,3,4],[2,5,21],[2,6,58],[3,4,14],[4,5,46],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(3,4)=14,(2,5)=21,(0,5)=33,(1,3)=35,(1,2)=37,(0,1)=39,(0,2)=40,(4,6)=44,(4,5)=46,(2,6)=58,(1,5)=69,(1,4)=72,(0,6)=76]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(3)=2, Find(4)=4, Add (3,4)=14 Succeeded, w=18\",\"Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=39\",\"Find(0)=0, Find(5)=2, Add (0,5)=33 Succeeded, w=72\",\"Find(1)=1, Find(3)=2, Add (1,3)=35 Succeeded, w=107\",\"Find(1)=2, Find(2)=2, Add (1,2)=37 Failed, w=107\",\"Find(0)=2, Find(1)=2, Add (0,1)=39 Failed, w=107\",\"Find(0)=2, Find(2)=2, Add (0,2)=40 Failed, w=107\",\"Find(4)=2, Find(6)=6, Add (4,6)=44 Succeeded, w=151\",\"Find(4)=2, Find(5)=2, Add (4,5)=46 Failed, w=151\",\"Find(2)=2, Find(6)=2, Add (2,6)=58 Failed, w=151\",\"Find(1)=2, Find(5)=2, Add (1,5)=69 Failed, w=151\",\"Find(1)=2, Find(4)=2, Add (1,4)=72 Failed, w=151\",\"Find(0)=2, Find(6)=2, Add (0,6)=76 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,40],[0,5,33],[0,6,76],[1,2,37],[1,3,35],[1,4,72],[1,5,69],[2,3,4],[2,5,21],[2,6,58],[3,4,14],[4,5,46],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(3,4)=14,(2,5)=21,(0,5)=33,(1,3)=35,(1,2)=37,(0,1)=39,(0,2)=40,(4,6)=44,(4,5)=46,(2,6)=58,(1,5)=69,(1,4)=72,(0,6)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=2, Find(4)=4, Add (3,4)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=0, Find(5)=2, Add (0,5)=33 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(3)=2, Add (1,3)=35 Succeeded, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(2)=2, Add (1,2)=37 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(1)=2, Add (0,1)=39 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(2)=2, Add (0,2)=40 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=44 Succeeded, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=46 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=58 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=69 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=72 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=76 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,63],[0,2,88],[0,3,73],[0,5,46],[1,4,63],[1,5,12],[3,4,88],[4,5,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,88],[0,3,73],[0,5,46],[1,4,63],[1,5,12],[3,4,88],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":282}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,88],[0,3,73],[0,5,46],[1,4,63],[1,5,12],[3,4,88],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":282}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,88],[0,3,73],[0,5,46],[1,4,63],[1,5,12],[3,4,88],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12, w=12\",\"Add (0,5)=46, w=58\",\"Add (1,4)=63, w=121\",\"Add (0,3)=73, w=194\",\"Add (0,2)=88, w=282\"],\"Answer\":282}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,88],[0,3,73],[0,5,46],[1,4,63],[1,5,12],[3,4,88],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12 Succeeded, w=12\",\"Add (0,5)=46 Succeeded, w=58\",\"Add (0,1)=63 Failed, w=58\",\"Add (1,4)=63 Succeeded, w=121\",\"Add (4,5)=67 Failed, w=121\",\"Add (0,3)=73 Succeeded, w=194\",\"Add (0,2)=88 Succeeded, w=282\",\"Add (3,4)=88 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,88],[0,3,73],[0,5,46],[1,4,63],[1,5,12],[3,4,88],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(0,5)=46,(0,1)=63,(1,4)=63,(4,5)=67,(0,3)=73,(0,2)=88,(3,4)=88]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Find(0)=0, Find(5)=1, Add (0,5)=46 Succeeded, w=58\",\"Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=58\",\"Find(1)=1, Find(4)=4, Add (1,4)=63 Succeeded, w=121\",\"Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=121\",\"Find(0)=1, Find(3)=3, Add (0,3)=73 Succeeded, w=194\",\"Find(0)=1, Find(2)=2, Add (0,2)=88 Succeeded, w=282\",\"Find(3)=1, Find(4)=1, Add (3,4)=88 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,88],[0,3,73],[0,5,46],[1,4,63],[1,5,12],[3,4,88],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(0,5)=46,(0,1)=63,(1,4)=63,(4,5)=67,(0,3)=73,(0,2)=88,(3,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=46 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=63 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=3, Add (0,3)=73 Succeeded, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=2, Add (0,2)=88 Succeeded, w=282\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=88 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,64],[0,2,64],[0,3,0],[0,4,90],[1,3,73],[2,3,3],[2,4,71],[3,4,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,64],[0,3,0],[0,4,90],[1,3,73],[2,3,3],[2,4,71],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,64],[0,3,0],[0,4,90],[1,3,73],[2,3,3],[2,4,71],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,64],[0,3,0],[0,4,90],[1,3,73],[2,3,3],[2,4,71],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,3)=3, w=3\",\"Add (0,1)=64, w=67\",\"Add (3,4)=68, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,64],[0,3,0],[0,4,90],[1,3,73],[2,3,3],[2,4,71],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,1)=64 Succeeded, w=67\",\"Add (0,2)=64 Failed, w=67\",\"Add (3,4)=68 Succeeded, w=135\",\"Add (2,4)=71 Failed, w=135\",\"Add (1,3)=73 Failed, w=135\",\"Add (0,4)=90 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,64],[0,3,0],[0,4,90],[1,3,73],[2,3,3],[2,4,71],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=3,(0,1)=64,(0,2)=64,(3,4)=68,(2,4)=71,(1,3)=73,(0,4)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=0, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=67\",\"Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=67\",\"Find(3)=0, Find(4)=4, Add (3,4)=68 Succeeded, w=135\",\"Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=135\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=135\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,64],[0,3,0],[0,4,90],[1,3,73],[2,3,3],[2,4,71],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=3,(0,1)=64,(0,2)=64,(3,4)=68,(2,4)=71,(1,3)=73,(0,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=68 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,2,6],[0,4,16],[0,5,62],[1,2,24],[1,6,90],[3,4,85],[4,5,16],[4,6,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,6],[0,4,16],[0,5,62],[1,2,24],[1,6,90],[3,4,85],[4,5,16],[4,6,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,6],[0,4,16],[0,5,62],[1,2,24],[1,6,90],[3,4,85],[4,5,16],[4,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (3,4)\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,6],[0,4,16],[0,5,62],[1,2,24],[1,6,90],[3,4,85],[4,5,16],[4,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (0,1)=14, w=20\",\"Add (0,4)=16, w=36\",\"Add (4,5)=16, w=52\",\"Add (4,6)=47, w=99\",\"Add (3,4)=85, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,6],[0,4,16],[0,5,62],[1,2,24],[1,6,90],[3,4,85],[4,5,16],[4,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (0,1)=14 Succeeded, w=20\",\"Add (0,4)=16 Succeeded, w=36\",\"Add (4,5)=16 Succeeded, w=52\",\"Add (1,2)=24 Failed, w=52\",\"Add (4,6)=47 Succeeded, w=99\",\"Add (0,5)=62 Failed, w=99\",\"Add (3,4)=85 Succeeded, w=184\",\"Add (1,6)=90 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,6],[0,4,16],[0,5,62],[1,2,24],[1,6,90],[3,4,85],[4,5,16],[4,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(0,1)=14,(0,4)=16,(4,5)=16,(1,2)=24,(4,6)=47,(0,5)=62,(3,4)=85,(1,6)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=20\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=36\",\"Find(4)=0, Find(5)=5, Add (4,5)=16 Succeeded, w=52\",\"Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=52\",\"Find(4)=0, Find(6)=6, Add (4,6)=47 Succeeded, w=99\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=99\",\"Find(3)=3, Find(4)=0, Add (3,4)=85 Succeeded, w=184\",\"Find(1)=0, Find(6)=0, Add (1,6)=90 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,6],[0,4,16],[0,5,62],[1,2,24],[1,6,90],[3,4,85],[4,5,16],[4,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(0,1)=14,(0,4)=16,(4,5)=16,(1,2)=24,(4,6)=47,(0,5)=62,(3,4)=85,(1,6)=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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=5, Add (4,5)=16 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=47 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=85 Succeeded, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=90 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,60],[0,3,28],[1,2,94],[1,3,84],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,28],[1,2,94],[1,3,84],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,28],[1,2,94],[1,3,84],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,28],[1,2,94],[1,3,84],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (0,3)=28, w=43\",\"Add (1,3)=84, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,28],[1,2,94],[1,3,84],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (0,3)=28 Succeeded, w=43\",\"Add (0,2)=60 Failed, w=43\",\"Add (1,3)=84 Succeeded, w=127\",\"Add (1,2)=94 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,28],[1,2,94],[1,3,84],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,3)=28,(0,2)=60,(1,3)=84,(1,2)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=2, Add (0,3)=28 Succeeded, w=43\",\"Find(0)=2, Find(2)=2, Add (0,2)=60 Failed, w=43\",\"Find(1)=1, Find(3)=2, Add (1,3)=84 Succeeded, w=127\",\"Find(1)=2, Find(2)=2, Add (1,2)=94 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,28],[1,2,94],[1,3,84],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,3)=28,(0,2)=60,(1,3)=84,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=28 Succeeded, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=60 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=84 Succeeded, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=94 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,5],[0,3,55],[1,3,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[0,3,55],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[0,3,55],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[0,3,55],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,3)=41, w=46\",\"Add (0,3)=55, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[0,3,55],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,3)=41 Succeeded, w=46\",\"Add (0,3)=55 Succeeded, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[0,3,55],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,3)=41,(0,3)=55]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=46\",\"Find(0)=0, Find(3)=1, Add (0,3)=55 Succeeded, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[0,3,55],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,3)=41,(0,3)=55]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=55 Succeeded, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,6,100],[1,4,71],[1,5,96],[2,3,75],[2,4,47],[2,5,89],[2,6,9],[3,5,19],[3,6,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,6,100],[1,4,71],[1,5,96],[2,3,75],[2,4,47],[2,5,89],[2,6,9],[3,5,19],[3,6,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,6,100],[1,4,71],[1,5,96],[2,3,75],[2,4,47],[2,5,89],[2,6,9],[3,5,19],[3,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (0,6)\"],\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,6,100],[1,4,71],[1,5,96],[2,3,75],[2,4,47],[2,5,89],[2,6,9],[3,5,19],[3,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=9, w=9\",\"Add (3,5)=19, w=28\",\"Add (2,4)=47, w=75\",\"Add (3,6)=54, w=129\",\"Add (1,4)=71, w=200\",\"Add (0,6)=100, w=300\"],\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,6,100],[1,4,71],[1,5,96],[2,3,75],[2,4,47],[2,5,89],[2,6,9],[3,5,19],[3,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=9 Succeeded, w=9\",\"Add (3,5)=19 Succeeded, w=28\",\"Add (2,4)=47 Succeeded, w=75\",\"Add (3,6)=54 Succeeded, w=129\",\"Add (1,4)=71 Succeeded, w=200\",\"Add (2,3)=75 Failed, w=200\",\"Add (2,5)=89 Failed, w=200\",\"Add (1,5)=96 Failed, w=200\",\"Add (0,6)=100 Succeeded, w=300\"],\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,6,100],[1,4,71],[1,5,96],[2,3,75],[2,4,47],[2,5,89],[2,6,9],[3,5,19],[3,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=9,(3,5)=19,(2,4)=47,(3,6)=54,(1,4)=71,(2,3)=75,(2,5)=89,(1,5)=96,(0,6)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=9\",\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=28\",\"Find(2)=2, Find(4)=4, Add (2,4)=47 Succeeded, w=75\",\"Find(3)=3, Find(6)=2, Add (3,6)=54 Succeeded, w=129\",\"Find(1)=1, Find(4)=3, Add (1,4)=71 Succeeded, w=200\",\"Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=200\",\"Find(2)=3, Find(5)=3, Add (2,5)=89 Failed, w=200\",\"Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=200\",\"Find(0)=0, Find(6)=3, Add (0,6)=100 Succeeded, w=300\"],\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,6,100],[1,4,71],[1,5,96],[2,3,75],[2,4,47],[2,5,89],[2,6,9],[3,5,19],[3,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=9,(3,5)=19,(2,4)=47,(3,6)=54,(1,4)=71,(2,3)=75,(2,5)=89,(1,5)=96,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2}, Find(2)=2, Find(4)=4, Add (2,4)=47 Succeeded, w=75\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=54 Succeeded, w=129\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2}, Find(1)=1, Find(4)=3, Add (1,4)=71 Succeeded, w=200\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2}, Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=200\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2}, Find(2)=3, Find(5)=3, Add (2,5)=89 Failed, w=200\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2}, Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=200\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=100 Succeeded, w=300\"],\"Answer\":300}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,12],[0,2,55],[0,3,95],[1,3,56],[2,3,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[0,3,95],[1,3,56],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[0,3,95],[1,3,56],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[0,3,95],[1,3,56],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (0,2)=55, w=67\",\"Add (1,3)=56, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[0,3,95],[1,3,56],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (0,2)=55 Succeeded, w=67\",\"Add (1,3)=56 Succeeded, w=123\",\"Add (2,3)=68 Failed, w=123\",\"Add (0,3)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[0,3,95],[1,3,56],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(0,2)=55,(1,3)=56,(2,3)=68,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=67\",\"Find(1)=0, Find(3)=3, Add (1,3)=56 Succeeded, w=123\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=123\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,55],[0,3,95],[1,3,56],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(0,2)=55,(1,3)=56,(2,3)=68,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=56 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,18],[0,2,3],[0,3,83],[1,2,61],[1,3,63],[2,3,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,3],[0,3,83],[1,2,61],[1,3,63],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,3],[0,3,83],[1,2,61],[1,3,63],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,3],[0,3,83],[1,2,61],[1,3,63],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (0,1)=18, w=21\",\"Add (1,3)=63, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,3],[0,3,83],[1,2,61],[1,3,63],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (0,1)=18 Succeeded, w=21\",\"Add (1,2)=61 Failed, w=21\",\"Add (1,3)=63 Succeeded, w=84\",\"Add (2,3)=78 Failed, w=84\",\"Add (0,3)=83 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,3],[0,3,83],[1,2,61],[1,3,63],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(0,1)=18,(1,2)=61,(1,3)=63,(2,3)=78,(0,3)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=21\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=21\",\"Find(1)=0, Find(3)=3, Add (1,3)=63 Succeeded, w=84\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=84\",\"Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,3],[0,3,83],[1,2,61],[1,3,63],[2,3,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(0,1)=18,(1,2)=61,(1,3)=63,(2,3)=78,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=63 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,15],[1,3,57],[2,3,63],[2,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,15],[1,3,57],[2,3,63],[2,4,53]]}",
"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\":[[0,3,15],[1,3,57],[2,3,63],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,15],[1,3,57],[2,3,63],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (2,4)=53, w=68\",\"Add (1,3)=57, w=125\",\"Add (2,3)=63, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,15],[1,3,57],[2,3,63],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (2,4)=53 Succeeded, w=68\",\"Add (1,3)=57 Succeeded, w=125\",\"Add (2,3)=63 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,15],[1,3,57],[2,3,63],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(2,4)=53,(1,3)=57,(2,3)=63]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=53 Succeeded, w=68\",\"Find(1)=1, Find(3)=0, Add (1,3)=57 Succeeded, w=125\",\"Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,15],[1,3,57],[2,3,63],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(2,4)=53,(1,3)=57,(2,3)=63]\",\"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: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=53 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(3)=0, Add (1,3)=57 Succeeded, w=125\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,76],[0,3,81],[1,2,35],[1,3,39],[2,3,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,76],[0,3,81],[1,2,35],[1,3,39],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,76],[0,3,81],[1,2,35],[1,3,39],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,76],[0,3,81],[1,2,35],[1,3,39],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=35, w=35\",\"Add (1,3)=39, w=74\",\"Add (0,2)=76, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,76],[0,3,81],[1,2,35],[1,3,39],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=35 Succeeded, w=35\",\"Add (1,3)=39 Succeeded, w=74\",\"Add (2,3)=40 Failed, w=74\",\"Add (0,2)=76 Succeeded, w=150\",\"Add (0,3)=81 Failed, w=150\",\"Add (0,1)=84 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,76],[0,3,81],[1,2,35],[1,3,39],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=35,(1,3)=39,(2,3)=40,(0,2)=76,(0,3)=81,(0,1)=84]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=35\",\"Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=74\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=74\",\"Find(0)=0, Find(2)=1, Add (0,2)=76 Succeeded, w=150\",\"Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=150\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,76],[0,3,81],[1,2,35],[1,3,39],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=35,(1,3)=39,(2,3)=40,(0,2)=76,(0,3)=81,(0,1)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=76 Succeeded, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,7],[0,3,34],[0,4,87],[1,2,6],[1,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,34],[0,4,87],[1,2,6],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,34],[0,4,87],[1,2,6],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,34],[0,4,87],[1,2,6],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (0,1)=7, w=13\",\"Add (0,3)=34, w=47\",\"Add (0,4)=87, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,34],[0,4,87],[1,2,6],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (0,1)=7 Succeeded, w=13\",\"Add (0,3)=34 Succeeded, w=47\",\"Add (0,4)=87 Succeeded, w=134\",\"Add (1,3)=87 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,34],[0,4,87],[1,2,6],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,1)=7,(0,3)=34,(0,4)=87,(1,3)=87]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=13\",\"Find(0)=1, Find(3)=3, Add (0,3)=34 Succeeded, w=47\",\"Find(0)=1, Find(4)=4, Add (0,4)=87 Succeeded, w=134\",\"Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,34],[0,4,87],[1,2,6],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,1)=7,(0,3)=34,(0,4)=87,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(3)=3, Add (0,3)=34 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=87 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,58],[0,3,5],[0,4,57],[0,5,27],[1,2,4],[1,3,12],[1,4,20],[2,4,0],[2,5,1],[3,4,30],[3,6,53],[4,5,71],[4,6,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,5],[0,4,57],[0,5,27],[1,2,4],[1,3,12],[1,4,20],[2,4,0],[2,5,1],[3,4,30],[3,6,53],[4,5,71],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,5],[0,4,57],[0,5,27],[1,2,4],[1,3,12],[1,4,20],[2,4,0],[2,5,1],[3,4,30],[3,6,53],[4,5,71],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (3,6)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,5],[0,4,57],[0,5,27],[1,2,4],[1,3,12],[1,4,20],[2,4,0],[2,5,1],[3,4,30],[3,6,53],[4,5,71],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (2,5)=1, w=1\",\"Add (1,2)=4, w=5\",\"Add (0,3)=5, w=10\",\"Add (1,3)=12, w=22\",\"Add (3,6)=53, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,5],[0,4,57],[0,5,27],[1,2,4],[1,3,12],[1,4,20],[2,4,0],[2,5,1],[3,4,30],[3,6,53],[4,5,71],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (2,5)=1 Succeeded, w=1\",\"Add (1,2)=4 Succeeded, w=5\",\"Add (0,3)=5 Succeeded, w=10\",\"Add (1,3)=12 Succeeded, w=22\",\"Add (1,4)=20 Failed, w=22\",\"Add (0,5)=27 Failed, w=22\",\"Add (3,4)=30 Failed, w=22\",\"Add (3,6)=53 Succeeded, w=75\",\"Add (0,4)=57 Failed, w=75\",\"Add (0,2)=58 Failed, w=75\",\"Add (4,5)=71 Failed, w=75\",\"Add (4,6)=100 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,5],[0,4,57],[0,5,27],[1,2,4],[1,3,12],[1,4,20],[2,4,0],[2,5,1],[3,4,30],[3,6,53],[4,5,71],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(2,5)=1,(1,2)=4,(0,3)=5,(1,3)=12,(1,4)=20,(0,5)=27,(3,4)=30,(3,6)=53,(0,4)=57,(0,2)=58,(4,5)=71,(4,6)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=10\",\"Find(1)=2, Find(3)=0, Add (1,3)=12 Succeeded, w=22\",\"Find(1)=2, Find(4)=2, Add (1,4)=20 Failed, w=22\",\"Find(0)=2, Find(5)=2, Add (0,5)=27 Failed, w=22\",\"Find(3)=2, Find(4)=2, Add (3,4)=30 Failed, w=22\",\"Find(3)=2, Find(6)=6, Add (3,6)=53 Succeeded, w=75\",\"Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=75\",\"Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=75\",\"Find(4)=2, Find(5)=2, Add (4,5)=71 Failed, w=75\",\"Find(4)=2, Find(6)=2, Add (4,6)=100 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,5],[0,4,57],[0,5,27],[1,2,4],[1,3,12],[1,4,20],[2,4,0],[2,5,1],[3,4,30],[3,6,53],[4,5,71],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(2,5)=1,(1,2)=4,(0,3)=5,(1,3)=12,(1,4)=20,(0,5)=27,(3,4)=30,(3,6)=53,(0,4)=57,(0,2)=58,(4,5)=71,(4,6)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=10\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(3)=0, Add (1,3)=12 Succeeded, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(4)=2, Add (1,4)=20 Failed, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(5)=2, Add (0,5)=27 Failed, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(3)=2, Find(4)=2, Add (3,4)=30 Failed, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=53 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=71 Failed, w=75\",\"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=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,35],[0,3,51],[2,3,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,51],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,51],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,51],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23, w=23\",\"Add (0,2)=35, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,51],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23 Succeeded, w=23\",\"Add (0,2)=35 Succeeded, w=58\",\"Add (0,3)=51 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,51],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(0,2)=35,(0,3)=51]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=58\",\"Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,51],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(0,2)=35,(0,3)=51]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,6],[0,3,23],[0,4,13],[0,5,50],[1,2,87],[1,3,55],[1,4,9],[1,5,44],[2,3,66],[2,4,90],[2,5,22],[3,4,63],[3,5,49],[4,5,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,6],[0,3,23],[0,4,13],[0,5,50],[1,2,87],[1,3,55],[1,4,9],[1,5,44],[2,3,66],[2,4,90],[2,5,22],[3,4,63],[3,5,49],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,6],[0,3,23],[0,4,13],[0,5,50],[1,2,87],[1,3,55],[1,4,9],[1,5,44],[2,3,66],[2,4,90],[2,5,22],[3,4,63],[3,5,49],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (0,3)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,6],[0,3,23],[0,4,13],[0,5,50],[1,2,87],[1,3,55],[1,4,9],[1,5,44],[2,3,66],[2,4,90],[2,5,22],[3,4,63],[3,5,49],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (1,4)=9, w=15\",\"Add (0,4)=13, w=28\",\"Add (2,5)=22, w=50\",\"Add (0,3)=23, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,6],[0,3,23],[0,4,13],[0,5,50],[1,2,87],[1,3,55],[1,4,9],[1,5,44],[2,3,66],[2,4,90],[2,5,22],[3,4,63],[3,5,49],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (1,4)=9 Succeeded, w=15\",\"Add (0,4)=13 Succeeded, w=28\",\"Add (2,5)=22 Succeeded, w=50\",\"Add (0,3)=23 Succeeded, w=73\",\"Add (1,5)=44 Failed, w=73\",\"Add (4,5)=46 Failed, w=73\",\"Add (3,5)=49 Failed, w=73\",\"Add (0,5)=50 Failed, w=73\",\"Add (1,3)=55 Failed, w=73\",\"Add (0,1)=61 Failed, w=73\",\"Add (3,4)=63 Failed, w=73\",\"Add (2,3)=66 Failed, w=73\",\"Add (1,2)=87 Failed, w=73\",\"Add (2,4)=90 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,6],[0,3,23],[0,4,13],[0,5,50],[1,2,87],[1,3,55],[1,4,9],[1,5,44],[2,3,66],[2,4,90],[2,5,22],[3,4,63],[3,5,49],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,4)=9,(0,4)=13,(2,5)=22,(0,3)=23,(1,5)=44,(4,5)=46,(3,5)=49,(0,5)=50,(1,3)=55,(0,1)=61,(3,4)=63,(2,3)=66,(1,2)=87,(2,4)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=15\",\"Find(0)=0, Find(4)=1, Add (0,4)=13 Succeeded, w=28\",\"Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=50\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=73\",\"Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=73\",\"Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=73\",\"Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=73\",\"Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=73\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=73\",\"Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=73\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=73\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=73\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,6],[0,3,23],[0,4,13],[0,5,50],[1,2,87],[1,3,55],[1,4,9],[1,5,44],[2,3,66],[2,4,90],[2,5,22],[3,4,63],[3,5,49],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,4)=9,(0,4)=13,(2,5)=22,(0,3)=23,(1,5)=44,(4,5)=46,(3,5)=49,(0,5)=50,(1,3)=55,(0,1)=61,(3,4)=63,(2,3)=66,(1,2)=87,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=13 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,20],[0,3,38],[0,4,15],[0,5,21],[1,2,71],[1,3,32],[1,4,87],[2,3,89],[2,5,73],[3,4,67],[3,5,41],[4,5,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,20],[0,3,38],[0,4,15],[0,5,21],[1,2,71],[1,3,32],[1,4,87],[2,3,89],[2,5,73],[3,4,67],[3,5,41],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,20],[0,3,38],[0,4,15],[0,5,21],[1,2,71],[1,3,32],[1,4,87],[2,3,89],[2,5,73],[3,4,67],[3,5,41],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,20],[0,3,38],[0,4,15],[0,5,21],[1,2,71],[1,3,32],[1,4,87],[2,3,89],[2,5,73],[3,4,67],[3,5,41],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=15, w=15\",\"Add (0,2)=20, w=35\",\"Add (0,5)=21, w=56\",\"Add (1,3)=32, w=88\",\"Add (0,1)=38, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,20],[0,3,38],[0,4,15],[0,5,21],[1,2,71],[1,3,32],[1,4,87],[2,3,89],[2,5,73],[3,4,67],[3,5,41],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=15 Succeeded, w=15\",\"Add (0,2)=20 Succeeded, w=35\",\"Add (0,5)=21 Succeeded, w=56\",\"Add (1,3)=32 Succeeded, w=88\",\"Add (0,1)=38 Succeeded, w=126\",\"Add (0,3)=38 Failed, w=126\",\"Add (3,5)=41 Failed, w=126\",\"Add (3,4)=67 Failed, w=126\",\"Add (1,2)=71 Failed, w=126\",\"Add (2,5)=73 Failed, w=126\",\"Add (4,5)=81 Failed, w=126\",\"Add (1,4)=87 Failed, w=126\",\"Add (2,3)=89 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,20],[0,3,38],[0,4,15],[0,5,21],[1,2,71],[1,3,32],[1,4,87],[2,3,89],[2,5,73],[3,4,67],[3,5,41],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=15,(0,2)=20,(0,5)=21,(1,3)=32,(0,1)=38,(0,3)=38,(3,5)=41,(3,4)=67,(1,2)=71,(2,5)=73,(4,5)=81,(1,4)=87,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=35\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=56\",\"Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=88\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=126\",\"Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=126\",\"Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=126\",\"Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=126\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=126\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=126\",\"Find(4)=0, Find(5)=0, Add (4,5)=81 Failed, w=126\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,20],[0,3,38],[0,4,15],[0,5,21],[1,2,71],[1,3,32],[1,4,87],[2,3,89],[2,5,73],[3,4,67],[3,5,41],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=15,(0,2)=20,(0,5)=21,(1,3)=32,(0,1)=38,(0,3)=38,(3,5)=41,(3,4)=67,(1,2)=71,(2,5)=73,(4,5)=81,(1,4)=87,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=81 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,12],[0,2,7],[0,4,63],[1,2,57],[2,4,12],[2,5,28],[3,6,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,7],[0,4,63],[1,2,57],[2,4,12],[2,5,28],[3,6,67]]}",
"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\":[[0,1,12],[0,2,7],[0,4,63],[1,2,57],[2,4,12],[2,5,28],[3,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,7],[0,4,63],[1,2,57],[2,4,12],[2,5,28],[3,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,1)=12, w=19\",\"Add (2,4)=12, w=31\",\"Add (2,5)=28, w=59\",\"Add (3,6)=67, 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\":[[0,1,12],[0,2,7],[0,4,63],[1,2,57],[2,4,12],[2,5,28],[3,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,1)=12 Succeeded, w=19\",\"Add (2,4)=12 Succeeded, w=31\",\"Add (2,5)=28 Succeeded, w=59\",\"Add (1,2)=57 Failed, w=59\",\"Add (0,4)=63 Failed, w=59\",\"Add (3,6)=67 Succeeded, 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\":[[0,1,12],[0,2,7],[0,4,63],[1,2,57],[2,4,12],[2,5,28],[3,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=12,(2,4)=12,(2,5)=28,(1,2)=57,(0,4)=63,(3,6)=67]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=19\",\"Find(2)=0, Find(4)=4, Add (2,4)=12 Succeeded, w=31\",\"Find(2)=0, Find(5)=5, Add (2,5)=28 Succeeded, w=59\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=59\",\"Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=59\",\"Find(3)=3, Find(6)=6, Add (3,6)=67 Succeeded, 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\":[[0,1,12],[0,2,7],[0,4,63],[1,2,57],[2,4,12],[2,5,28],[3,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=12,(2,4)=12,(2,5)=28,(1,2)=57,(0,4)=63,(3,6)=67]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(2)=0, Find(4)=4, Add (2,4)=12 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(5)=5, Add (2,5)=28 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=67 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,78],[0,4,30],[0,5,44],[0,6,1],[0,7,47],[1,2,17],[1,4,21],[1,6,53],[1,7,42],[2,5,24],[2,6,1],[3,5,95],[3,7,47],[4,5,76],[5,6,89],[5,7,29],[6,7,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,30],[0,5,44],[0,6,1],[0,7,47],[1,2,17],[1,4,21],[1,6,53],[1,7,42],[2,5,24],[2,6,1],[3,5,95],[3,7,47],[4,5,76],[5,6,89],[5,7,29],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,30],[0,5,44],[0,6,1],[0,7,47],[1,2,17],[1,4,21],[1,6,53],[1,7,42],[2,5,24],[2,6,1],[3,5,95],[3,7,47],[4,5,76],[5,6,89],[5,7,29],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (5,7)\",\"Add (3,7)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,30],[0,5,44],[0,6,1],[0,7,47],[1,2,17],[1,4,21],[1,6,53],[1,7,42],[2,5,24],[2,6,1],[3,5,95],[3,7,47],[4,5,76],[5,6,89],[5,7,29],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (2,6)=1, w=2\",\"Add (1,2)=17, w=19\",\"Add (1,4)=21, w=40\",\"Add (2,5)=24, w=64\",\"Add (5,7)=29, w=93\",\"Add (3,7)=47, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,30],[0,5,44],[0,6,1],[0,7,47],[1,2,17],[1,4,21],[1,6,53],[1,7,42],[2,5,24],[2,6,1],[3,5,95],[3,7,47],[4,5,76],[5,6,89],[5,7,29],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (2,6)=1 Succeeded, w=2\",\"Add (1,2)=17 Succeeded, w=19\",\"Add (1,4)=21 Succeeded, w=40\",\"Add (2,5)=24 Succeeded, w=64\",\"Add (5,7)=29 Succeeded, w=93\",\"Add (0,4)=30 Failed, w=93\",\"Add (1,7)=42 Failed, w=93\",\"Add (0,5)=44 Failed, w=93\",\"Add (0,7)=47 Failed, w=93\",\"Add (3,7)=47 Succeeded, w=140\",\"Add (6,7)=51 Failed, w=140\",\"Add (1,6)=53 Failed, w=140\",\"Add (4,5)=76 Failed, w=140\",\"Add (0,2)=78 Failed, w=140\",\"Add (5,6)=89 Failed, w=140\",\"Add (3,5)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,30],[0,5,44],[0,6,1],[0,7,47],[1,2,17],[1,4,21],[1,6,53],[1,7,42],[2,5,24],[2,6,1],[3,5,95],[3,7,47],[4,5,76],[5,6,89],[5,7,29],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(2,6)=1,(1,2)=17,(1,4)=21,(2,5)=24,(5,7)=29,(0,4)=30,(1,7)=42,(0,5)=44,(0,7)=47,(3,7)=47,(6,7)=51,(1,6)=53,(4,5)=76,(0,2)=78,(5,6)=89,(3,5)=95]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(6)=0, Add (2,6)=1 Succeeded, w=2\",\"Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=19\",\"Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=40\",\"Find(2)=0, Find(5)=5, Add (2,5)=24 Succeeded, w=64\",\"Find(5)=0, Find(7)=7, Add (5,7)=29 Succeeded, w=93\",\"Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=93\",\"Find(1)=0, Find(7)=0, Add (1,7)=42 Failed, w=93\",\"Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=93\",\"Find(0)=0, Find(7)=0, Add (0,7)=47 Failed, w=93\",\"Find(3)=3, Find(7)=0, Add (3,7)=47 Succeeded, w=140\",\"Find(6)=0, Find(7)=0, Add (6,7)=51 Failed, w=140\",\"Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=140\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=140\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=140\",\"Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=140\",\"Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,30],[0,5,44],[0,6,1],[0,7,47],[1,2,17],[1,4,21],[1,6,53],[1,7,42],[2,5,24],[2,6,1],[3,5,95],[3,7,47],[4,5,76],[5,6,89],[5,7,29],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(2,6)=1,(1,2)=17,(1,4)=21,(2,5)=24,(5,7)=29,(0,4)=30,(1,7)=42,(0,5)=44,(0,7)=47,(3,7)=47,(6,7)=51,(1,6)=53,(4,5)=76,(0,2)=78,(5,6)=89,(3,5)=95]\",\"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: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(2)=2, Find(6)=0, Add (2,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=24 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=29 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=42 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=47 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=47 Succeeded, w=140\",\"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)=51 Failed, w=140\",\"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)=53 Failed, w=140\",\"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)=76 Failed, w=140\",\"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)=78 Failed, w=140\",\"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)=89 Failed, w=140\",\"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)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,66],[0,3,82],[0,4,87],[0,5,80],[1,2,27],[1,3,96],[1,4,55],[1,5,48],[2,3,62],[2,4,25],[2,5,75],[3,4,89],[3,5,85],[4,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,66],[0,3,82],[0,4,87],[0,5,80],[1,2,27],[1,3,96],[1,4,55],[1,5,48],[2,3,62],[2,4,25],[2,5,75],[3,4,89],[3,5,85],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,66],[0,3,82],[0,4,87],[0,5,80],[1,2,27],[1,3,96],[1,4,55],[1,5,48],[2,3,62],[2,4,25],[2,5,75],[3,4,89],[3,5,85],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,66],[0,3,82],[0,4,87],[0,5,80],[1,2,27],[1,3,96],[1,4,55],[1,5,48],[2,3,62],[2,4,25],[2,5,75],[3,4,89],[3,5,85],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=25, w=25\",\"Add (1,2)=27, w=52\",\"Add (1,5)=48, w=100\",\"Add (2,3)=62, w=162\",\"Add (0,2)=66, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,66],[0,3,82],[0,4,87],[0,5,80],[1,2,27],[1,3,96],[1,4,55],[1,5,48],[2,3,62],[2,4,25],[2,5,75],[3,4,89],[3,5,85],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=25 Succeeded, w=25\",\"Add (1,2)=27 Succeeded, w=52\",\"Add (1,5)=48 Succeeded, w=100\",\"Add (1,4)=55 Failed, w=100\",\"Add (2,3)=62 Succeeded, w=162\",\"Add (0,2)=66 Succeeded, w=228\",\"Add (2,5)=75 Failed, w=228\",\"Add (4,5)=76 Failed, w=228\",\"Add (0,5)=80 Failed, w=228\",\"Add (0,3)=82 Failed, w=228\",\"Add (3,5)=85 Failed, w=228\",\"Add (0,4)=87 Failed, w=228\",\"Add (3,4)=89 Failed, w=228\",\"Add (1,3)=96 Failed, w=228\",\"Add (0,1)=98 Failed, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,66],[0,3,82],[0,4,87],[0,5,80],[1,2,27],[1,3,96],[1,4,55],[1,5,48],[2,3,62],[2,4,25],[2,5,75],[3,4,89],[3,5,85],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=25,(1,2)=27,(1,5)=48,(1,4)=55,(2,3)=62,(0,2)=66,(2,5)=75,(4,5)=76,(0,5)=80,(0,3)=82,(3,5)=85,(0,4)=87,(3,4)=89,(1,3)=96,(0,1)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=25\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=52\",\"Find(1)=2, Find(5)=5, Add (1,5)=48 Succeeded, w=100\",\"Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=100\",\"Find(2)=2, Find(3)=3, Add (2,3)=62 Succeeded, w=162\",\"Find(0)=0, Find(2)=2, Add (0,2)=66 Succeeded, w=228\",\"Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=228\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=228\",\"Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=228\",\"Find(0)=2, Find(3)=2, Add (0,3)=82 Failed, w=228\",\"Find(3)=2, Find(5)=2, Add (3,5)=85 Failed, w=228\",\"Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=228\",\"Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=228\",\"Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=228\",\"Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,66],[0,3,82],[0,4,87],[0,5,80],[1,2,27],[1,3,96],[1,4,55],[1,5,48],[2,3,62],[2,4,25],[2,5,75],[3,4,89],[3,5,85],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=25,(1,2)=27,(1,5)=48,(1,4)=55,(2,3)=62,(0,2)=66,(2,5)=75,(4,5)=76,(0,5)=80,(0,3)=82,(3,5)=85,(0,4)=87,(3,4)=89,(1,3)=96,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=52\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=48 Succeeded, w=100\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=100\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=62 Succeeded, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=66 Succeeded, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=228\",\"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=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=82 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=85 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,31],[0,2,43],[0,3,46],[1,2,14],[1,4,35],[1,5,56],[1,6,40],[2,3,33],[2,5,32],[3,4,9],[3,5,69],[3,6,65],[4,5,93],[4,6,97],[5,6,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,43],[0,3,46],[1,2,14],[1,4,35],[1,5,56],[1,6,40],[2,3,33],[2,5,32],[3,4,9],[3,5,69],[3,6,65],[4,5,93],[4,6,97],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,43],[0,3,46],[1,2,14],[1,4,35],[1,5,56],[1,6,40],[2,3,33],[2,5,32],[3,4,9],[3,5,69],[3,6,65],[4,5,93],[4,6,97],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (1,6)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,43],[0,3,46],[1,2,14],[1,4,35],[1,5,56],[1,6,40],[2,3,33],[2,5,32],[3,4,9],[3,5,69],[3,6,65],[4,5,93],[4,6,97],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=9, w=9\",\"Add (1,2)=14, w=23\",\"Add (0,1)=31, w=54\",\"Add (2,5)=32, w=86\",\"Add (2,3)=33, w=119\",\"Add (1,6)=40, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,43],[0,3,46],[1,2,14],[1,4,35],[1,5,56],[1,6,40],[2,3,33],[2,5,32],[3,4,9],[3,5,69],[3,6,65],[4,5,93],[4,6,97],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=9 Succeeded, w=9\",\"Add (1,2)=14 Succeeded, w=23\",\"Add (0,1)=31 Succeeded, w=54\",\"Add (2,5)=32 Succeeded, w=86\",\"Add (2,3)=33 Succeeded, w=119\",\"Add (1,4)=35 Failed, w=119\",\"Add (1,6)=40 Succeeded, w=159\",\"Add (0,2)=43 Failed, w=159\",\"Add (0,3)=46 Failed, w=159\",\"Add (5,6)=49 Failed, w=159\",\"Add (1,5)=56 Failed, w=159\",\"Add (3,6)=65 Failed, w=159\",\"Add (3,5)=69 Failed, w=159\",\"Add (4,5)=93 Failed, w=159\",\"Add (4,6)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,43],[0,3,46],[1,2,14],[1,4,35],[1,5,56],[1,6,40],[2,3,33],[2,5,32],[3,4,9],[3,5,69],[3,6,65],[4,5,93],[4,6,97],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=9,(1,2)=14,(0,1)=31,(2,5)=32,(2,3)=33,(1,4)=35,(1,6)=40,(0,2)=43,(0,3)=46,(5,6)=49,(1,5)=56,(3,6)=65,(3,5)=69,(4,5)=93,(4,6)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=54\",\"Find(2)=1, Find(5)=5, Add (2,5)=32 Succeeded, w=86\",\"Find(2)=1, Find(3)=3, Add (2,3)=33 Succeeded, w=119\",\"Find(1)=1, Find(4)=1, Add (1,4)=35 Failed, w=119\",\"Find(1)=1, Find(6)=6, Add (1,6)=40 Succeeded, w=159\",\"Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=159\",\"Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=159\",\"Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=159\",\"Find(1)=1, Find(5)=1, Add (1,5)=56 Failed, w=159\",\"Find(3)=1, Find(6)=1, Add (3,6)=65 Failed, w=159\",\"Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=159\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=159\",\"Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,43],[0,3,46],[1,2,14],[1,4,35],[1,5,56],[1,6,40],[2,3,33],[2,5,32],[3,4,9],[3,5,69],[3,6,65],[4,5,93],[4,6,97],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=9,(1,2)=14,(0,1)=31,(2,5)=32,(2,3)=33,(1,4)=35,(1,6)=40,(0,2)=43,(0,3)=46,(5,6)=49,(1,5)=56,(3,6)=65,(3,5)=69,(4,5)=93,(4,6)=97]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 6}, Find(2)=1, Find(5)=5, Add (2,5)=32 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=33 Succeeded, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(4)=1, Add (1,4)=35 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=40 Succeeded, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=56 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=65 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,74],[0,2,13],[0,3,32],[0,4,11],[0,5,22],[0,6,100],[0,7,75],[1,2,96],[1,3,10],[1,4,64],[1,5,98],[1,6,62],[1,7,81],[2,3,63],[2,4,15],[2,5,70],[2,6,9],[2,7,46],[3,4,42],[3,5,16],[3,6,91],[3,7,56],[4,5,37],[4,6,58],[4,7,47],[5,6,59],[5,7,58],[6,7,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,13],[0,3,32],[0,4,11],[0,5,22],[0,6,100],[0,7,75],[1,2,96],[1,3,10],[1,4,64],[1,5,98],[1,6,62],[1,7,81],[2,3,63],[2,4,15],[2,5,70],[2,6,9],[2,7,46],[3,4,42],[3,5,16],[3,6,91],[3,7,56],[4,5,37],[4,6,58],[4,7,47],[5,6,59],[5,7,58],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,13],[0,3,32],[0,4,11],[0,5,22],[0,6,100],[0,7,75],[1,2,96],[1,3,10],[1,4,64],[1,5,98],[1,6,62],[1,7,81],[2,3,63],[2,4,15],[2,5,70],[2,6,9],[2,7,46],[3,4,42],[3,5,16],[3,6,91],[3,7,56],[4,5,37],[4,6,58],[4,7,47],[5,6,59],[5,7,58],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (6,7)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,13],[0,3,32],[0,4,11],[0,5,22],[0,6,100],[0,7,75],[1,2,96],[1,3,10],[1,4,64],[1,5,98],[1,6,62],[1,7,81],[2,3,63],[2,4,15],[2,5,70],[2,6,9],[2,7,46],[3,4,42],[3,5,16],[3,6,91],[3,7,56],[4,5,37],[4,6,58],[4,7,47],[5,6,59],[5,7,58],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=9, w=9\",\"Add (1,3)=10, w=19\",\"Add (0,4)=11, w=30\",\"Add (0,2)=13, w=43\",\"Add (3,5)=16, w=59\",\"Add (0,5)=22, w=81\",\"Add (6,7)=41, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,13],[0,3,32],[0,4,11],[0,5,22],[0,6,100],[0,7,75],[1,2,96],[1,3,10],[1,4,64],[1,5,98],[1,6,62],[1,7,81],[2,3,63],[2,4,15],[2,5,70],[2,6,9],[2,7,46],[3,4,42],[3,5,16],[3,6,91],[3,7,56],[4,5,37],[4,6,58],[4,7,47],[5,6,59],[5,7,58],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=9 Succeeded, w=9\",\"Add (1,3)=10 Succeeded, w=19\",\"Add (0,4)=11 Succeeded, w=30\",\"Add (0,2)=13 Succeeded, w=43\",\"Add (2,4)=15 Failed, w=43\",\"Add (3,5)=16 Succeeded, w=59\",\"Add (0,5)=22 Succeeded, w=81\",\"Add (0,3)=32 Failed, w=81\",\"Add (4,5)=37 Failed, w=81\",\"Add (6,7)=41 Succeeded, w=122\",\"Add (3,4)=42 Failed, w=122\",\"Add (2,7)=46 Failed, w=122\",\"Add (4,7)=47 Failed, w=122\",\"Add (3,7)=56 Failed, w=122\",\"Add (4,6)=58 Failed, w=122\",\"Add (5,7)=58 Failed, w=122\",\"Add (5,6)=59 Failed, w=122\",\"Add (1,6)=62 Failed, w=122\",\"Add (2,3)=63 Failed, w=122\",\"Add (1,4)=64 Failed, w=122\",\"Add (2,5)=70 Failed, w=122\",\"Add (0,1)=74 Failed, w=122\",\"Add (0,7)=75 Failed, w=122\",\"Add (1,7)=81 Failed, w=122\",\"Add (3,6)=91 Failed, w=122\",\"Add (1,2)=96 Failed, w=122\",\"Add (1,5)=98 Failed, w=122\",\"Add (0,6)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,13],[0,3,32],[0,4,11],[0,5,22],[0,6,100],[0,7,75],[1,2,96],[1,3,10],[1,4,64],[1,5,98],[1,6,62],[1,7,81],[2,3,63],[2,4,15],[2,5,70],[2,6,9],[2,7,46],[3,4,42],[3,5,16],[3,6,91],[3,7,56],[4,5,37],[4,6,58],[4,7,47],[5,6,59],[5,7,58],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=9,(1,3)=10,(0,4)=11,(0,2)=13,(2,4)=15,(3,5)=16,(0,5)=22,(0,3)=32,(4,5)=37,(6,7)=41,(3,4)=42,(2,7)=46,(4,7)=47,(3,7)=56,(4,6)=58,(5,7)=58,(5,6)=59,(1,6)=62,(2,3)=63,(1,4)=64,(2,5)=70,(0,1)=74,(0,7)=75,(1,7)=81,(3,6)=91,(1,2)=96,(1,5)=98,(0,6)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=19\",\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=43\",\"Find(2)=0, Find(4)=0, Add (2,4)=15 Failed, w=43\",\"Find(3)=1, Find(5)=5, Add (3,5)=16 Succeeded, w=59\",\"Find(0)=0, Find(5)=1, Add (0,5)=22 Succeeded, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=32 Failed, w=81\",\"Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=81\",\"Find(6)=0, Find(7)=7, Add (6,7)=41 Succeeded, w=122\",\"Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=122\",\"Find(2)=0, Find(7)=0, Add (2,7)=46 Failed, w=122\",\"Find(4)=0, Find(7)=0, Add (4,7)=47 Failed, w=122\",\"Find(3)=0, Find(7)=0, Add (3,7)=56 Failed, w=122\",\"Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=122\",\"Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=122\",\"Find(5)=0, Find(6)=0, Add (5,6)=59 Failed, w=122\",\"Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=122\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=122\",\"Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=122\",\"Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=122\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=122\",\"Find(0)=0, Find(7)=0, Add (0,7)=75 Failed, w=122\",\"Find(1)=0, Find(7)=0, Add (1,7)=81 Failed, w=122\",\"Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=122\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=122\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=122\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,13],[0,3,32],[0,4,11],[0,5,22],[0,6,100],[0,7,75],[1,2,96],[1,3,10],[1,4,64],[1,5,98],[1,6,62],[1,7,81],[2,3,63],[2,4,15],[2,5,70],[2,6,9],[2,7,46],[3,4,42],[3,5,16],[3,6,91],[3,7,56],[4,5,37],[4,6,58],[4,7,47],[5,6,59],[5,7,58],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=9,(1,3)=10,(0,4)=11,(0,2)=13,(2,4)=15,(3,5)=16,(0,5)=22,(0,3)=32,(4,5)=37,(6,7)=41,(3,4)=42,(2,7)=46,(4,7)=47,(3,7)=56,(4,6)=58,(5,7)=58,(5,6)=59,(1,6)=62,(2,3)=63,(1,4)=64,(2,5)=70,(0,1)=74,(0,7)=75,(1,7)=81,(3,6)=91,(1,2)=96,(1,5)=98,(0,6)=100]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 2, 7: 7}, Find(2)=0, Find(4)=0, Add (2,4)=15 Failed, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 2, 7: 7}, Find(3)=1, Find(5)=5, Add (3,5)=16 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 2, 7: 7}, Find(0)=0, Find(5)=1, Add (0,5)=22 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 2, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=32 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=41 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=46 Failed, w=122\",\"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)=47 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=56 Failed, w=122\",\"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)=58 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=122\",\"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)=59 Failed, w=122\",\"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)=62 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=122\",\"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)=74 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=75 Failed, w=122\",\"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)=81 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=122\",\"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)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,0],[0,2,76],[0,3,54],[0,4,15],[1,2,49],[1,3,97],[1,4,18],[2,3,43],[2,4,47],[3,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,76],[0,3,54],[0,4,15],[1,2,49],[1,3,97],[1,4,18],[2,3,43],[2,4,47],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,76],[0,3,54],[0,4,15],[1,2,49],[1,3,97],[1,4,18],[2,3,43],[2,4,47],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,76],[0,3,54],[0,4,15],[1,2,49],[1,3,97],[1,4,18],[2,3,43],[2,4,47],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (0,4)=15, w=15\",\"Add (3,4)=42, w=57\",\"Add (2,3)=43, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,76],[0,3,54],[0,4,15],[1,2,49],[1,3,97],[1,4,18],[2,3,43],[2,4,47],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (0,4)=15 Succeeded, w=15\",\"Add (1,4)=18 Failed, w=15\",\"Add (3,4)=42 Succeeded, w=57\",\"Add (2,3)=43 Succeeded, w=100\",\"Add (2,4)=47 Failed, w=100\",\"Add (1,2)=49 Failed, w=100\",\"Add (0,3)=54 Failed, w=100\",\"Add (0,2)=76 Failed, w=100\",\"Add (1,3)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,76],[0,3,54],[0,4,15],[1,2,49],[1,3,97],[1,4,18],[2,3,43],[2,4,47],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,4)=15,(1,4)=18,(3,4)=42,(2,3)=43,(2,4)=47,(1,2)=49,(0,3)=54,(0,2)=76,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=15\",\"Find(1)=0, Find(4)=0, Add (1,4)=18 Failed, w=15\",\"Find(3)=3, Find(4)=0, Add (3,4)=42 Succeeded, w=57\",\"Find(2)=2, Find(3)=0, Add (2,3)=43 Succeeded, w=100\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=100\",\"Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=100\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=100\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,76],[0,3,54],[0,4,15],[1,2,49],[1,3,97],[1,4,18],[2,3,43],[2,4,47],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,4)=15,(1,4)=18,(3,4)=42,(2,3)=43,(2,4)=47,(1,2)=49,(0,3)=54,(0,2)=76,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=18 Failed, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=42 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=43 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,4,51],[0,6,18],[1,2,98],[1,3,15],[1,6,2],[2,3,5],[2,4,55],[2,5,33],[2,6,79],[3,4,92],[3,6,19],[4,5,58],[5,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,4,51],[0,6,18],[1,2,98],[1,3,15],[1,6,2],[2,3,5],[2,4,55],[2,5,33],[2,6,79],[3,4,92],[3,6,19],[4,5,58],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,4,51],[0,6,18],[1,2,98],[1,3,15],[1,6,2],[2,3,5],[2,4,55],[2,5,33],[2,6,79],[3,4,92],[3,6,19],[4,5,58],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (0,4)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,4,51],[0,6,18],[1,2,98],[1,3,15],[1,6,2],[2,3,5],[2,4,55],[2,5,33],[2,6,79],[3,4,92],[3,6,19],[4,5,58],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2, w=2\",\"Add (2,3)=5, w=7\",\"Add (1,3)=15, w=22\",\"Add (0,6)=18, w=40\",\"Add (2,5)=33, w=73\",\"Add (0,4)=51, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,4,51],[0,6,18],[1,2,98],[1,3,15],[1,6,2],[2,3,5],[2,4,55],[2,5,33],[2,6,79],[3,4,92],[3,6,19],[4,5,58],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2 Succeeded, w=2\",\"Add (2,3)=5 Succeeded, w=7\",\"Add (1,3)=15 Succeeded, w=22\",\"Add (0,6)=18 Succeeded, w=40\",\"Add (3,6)=19 Failed, w=40\",\"Add (0,1)=22 Failed, w=40\",\"Add (2,5)=33 Succeeded, w=73\",\"Add (5,6)=48 Failed, w=73\",\"Add (0,4)=51 Succeeded, w=124\",\"Add (2,4)=55 Failed, w=124\",\"Add (4,5)=58 Failed, w=124\",\"Add (2,6)=79 Failed, w=124\",\"Add (3,4)=92 Failed, w=124\",\"Add (1,2)=98 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,4,51],[0,6,18],[1,2,98],[1,3,15],[1,6,2],[2,3,5],[2,4,55],[2,5,33],[2,6,79],[3,4,92],[3,6,19],[4,5,58],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(2,3)=5,(1,3)=15,(0,6)=18,(3,6)=19,(0,1)=22,(2,5)=33,(5,6)=48,(0,4)=51,(2,4)=55,(4,5)=58,(2,6)=79,(3,4)=92,(1,2)=98]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=7\",\"Find(1)=1, Find(3)=2, Add (1,3)=15 Succeeded, w=22\",\"Find(0)=0, Find(6)=1, Add (0,6)=18 Succeeded, w=40\",\"Find(3)=1, Find(6)=1, Add (3,6)=19 Failed, w=40\",\"Find(0)=1, Find(1)=1, Add (0,1)=22 Failed, w=40\",\"Find(2)=1, Find(5)=5, Add (2,5)=33 Succeeded, w=73\",\"Find(5)=1, Find(6)=1, Add (5,6)=48 Failed, w=73\",\"Find(0)=1, Find(4)=4, Add (0,4)=51 Succeeded, w=124\",\"Find(2)=1, Find(4)=1, Add (2,4)=55 Failed, w=124\",\"Find(4)=1, Find(5)=1, Add (4,5)=58 Failed, w=124\",\"Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=124\",\"Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=124\",\"Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,4,51],[0,6,18],[1,2,98],[1,3,15],[1,6,2],[2,3,5],[2,4,55],[2,5,33],[2,6,79],[3,4,92],[3,6,19],[4,5,58],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(2,3)=5,(1,3)=15,(0,6)=18,(3,6)=19,(0,1)=22,(2,5)=33,(5,6)=48,(0,4)=51,(2,4)=55,(4,5)=58,(2,6)=79,(3,4)=92,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(3)=2, Add (1,3)=15 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=18 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=19 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=22 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(5)=5, Add (2,5)=33 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=48 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=4, Add (0,4)=51 Succeeded, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=55 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=58 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,97],[0,2,93],[0,3,26],[0,4,20],[0,5,27],[1,2,42],[1,3,39],[1,5,2],[2,3,73],[2,5,42],[3,4,96],[3,5,1],[4,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,93],[0,3,26],[0,4,20],[0,5,27],[1,2,42],[1,3,39],[1,5,2],[2,3,73],[2,5,42],[3,4,96],[3,5,1],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,93],[0,3,26],[0,4,20],[0,5,27],[1,2,42],[1,3,39],[1,5,2],[2,3,73],[2,5,42],[3,4,96],[3,5,1],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,93],[0,3,26],[0,4,20],[0,5,27],[1,2,42],[1,3,39],[1,5,2],[2,3,73],[2,5,42],[3,4,96],[3,5,1],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (1,5)=2, w=3\",\"Add (0,4)=20, w=23\",\"Add (0,3)=26, w=49\",\"Add (1,2)=42, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,93],[0,3,26],[0,4,20],[0,5,27],[1,2,42],[1,3,39],[1,5,2],[2,3,73],[2,5,42],[3,4,96],[3,5,1],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (1,5)=2 Succeeded, w=3\",\"Add (0,4)=20 Succeeded, w=23\",\"Add (0,3)=26 Succeeded, w=49\",\"Add (0,5)=27 Failed, w=49\",\"Add (1,3)=39 Failed, w=49\",\"Add (1,2)=42 Succeeded, w=91\",\"Add (2,5)=42 Failed, w=91\",\"Add (2,3)=73 Failed, w=91\",\"Add (4,5)=76 Failed, w=91\",\"Add (0,2)=93 Failed, w=91\",\"Add (3,4)=96 Failed, w=91\",\"Add (0,1)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,93],[0,3,26],[0,4,20],[0,5,27],[1,2,42],[1,3,39],[1,5,2],[2,3,73],[2,5,42],[3,4,96],[3,5,1],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(1,5)=2,(0,4)=20,(0,3)=26,(0,5)=27,(1,3)=39,(1,2)=42,(2,5)=42,(2,3)=73,(4,5)=76,(0,2)=93,(3,4)=96,(0,1)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=3, Add (1,5)=2 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=49\",\"Find(0)=0, Find(5)=0, Add (0,5)=27 Failed, w=49\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=49\",\"Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=91\",\"Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=91\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=91\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=91\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,93],[0,3,26],[0,4,20],[0,5,27],[1,2,42],[1,3,39],[1,5,2],[2,3,73],[2,5,42],[3,4,96],[3,5,1],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(1,5)=2,(0,4)=20,(0,3)=26,(0,5)=27,(1,3)=39,(1,2)=42,(2,5)=42,(2,3)=73,(4,5)=76,(0,2)=93,(3,4)=96,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=23\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=49\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=27 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,57],[0,7,50],[1,2,94],[1,3,99],[1,6,19],[2,3,93],[3,4,14],[4,5,0],[4,7,75],[5,7,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,7,50],[1,2,94],[1,3,99],[1,6,19],[2,3,93],[3,4,14],[4,5,0],[4,7,75],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,7,50],[1,2,94],[1,3,99],[1,6,19],[2,3,93],[3,4,14],[4,5,0],[4,7,75],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (5,7)\",\"Add (0,7)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,7,50],[1,2,94],[1,3,99],[1,6,19],[2,3,93],[3,4,14],[4,5,0],[4,7,75],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (3,4)=14, w=14\",\"Add (1,6)=19, w=33\",\"Add (5,7)=34, w=67\",\"Add (0,7)=50, w=117\",\"Add (0,2)=57, w=174\",\"Add (1,2)=94, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,7,50],[1,2,94],[1,3,99],[1,6,19],[2,3,93],[3,4,14],[4,5,0],[4,7,75],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (3,4)=14 Succeeded, w=14\",\"Add (1,6)=19 Succeeded, w=33\",\"Add (5,7)=34 Succeeded, w=67\",\"Add (0,7)=50 Succeeded, w=117\",\"Add (0,2)=57 Succeeded, w=174\",\"Add (4,7)=75 Failed, w=174\",\"Add (2,3)=93 Failed, w=174\",\"Add (1,2)=94 Succeeded, w=268\",\"Add (1,3)=99 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,7,50],[1,2,94],[1,3,99],[1,6,19],[2,3,93],[3,4,14],[4,5,0],[4,7,75],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(3,4)=14,(1,6)=19,(5,7)=34,(0,7)=50,(0,2)=57,(4,7)=75,(2,3)=93,(1,2)=94,(1,3)=99]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=33\",\"Find(5)=4, Find(7)=7, Add (5,7)=34 Succeeded, w=67\",\"Find(0)=0, Find(7)=4, Add (0,7)=50 Succeeded, w=117\",\"Find(0)=4, Find(2)=2, Add (0,2)=57 Succeeded, w=174\",\"Find(4)=4, Find(7)=4, Add (4,7)=75 Failed, w=174\",\"Find(2)=4, Find(3)=4, Add (2,3)=93 Failed, w=174\",\"Find(1)=1, Find(2)=4, Add (1,2)=94 Succeeded, w=268\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,7,50],[1,2,94],[1,3,99],[1,6,19],[2,3,93],[3,4,14],[4,5,0],[4,7,75],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(3,4)=14,(1,6)=19,(5,7)=34,(0,7)=50,(0,2)=57,(4,7)=75,(2,3)=93,(1,2)=94,(1,3)=99]\",\"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: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=34 Succeeded, w=67\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=50 Succeeded, w=117\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(0)=4, Find(2)=2, Add (0,2)=57 Succeeded, w=174\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=75 Failed, w=174\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=93 Failed, w=174\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 1, 5: 4, 6: 1, 7: 4}, Find(1)=1, Find(2)=4, Add (1,2)=94 Succeeded, w=268\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4, 6: 1, 7: 4}, Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,26],[0,4,45],[1,3,30],[2,3,43],[2,4,26],[2,5,17],[2,6,31],[3,4,46],[3,5,69],[4,5,36],[4,6,55],[5,6,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,4,45],[1,3,30],[2,3,43],[2,4,26],[2,5,17],[2,6,31],[3,4,46],[3,5,69],[4,5,36],[4,6,55],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,4,45],[1,3,30],[2,3,43],[2,4,26],[2,5,17],[2,6,31],[3,4,46],[3,5,69],[4,5,36],[4,6,55],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (2,6)\",\"Add (2,3)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,4,45],[1,3,30],[2,3,43],[2,4,26],[2,5,17],[2,6,31],[3,4,46],[3,5,69],[4,5,36],[4,6,55],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=17, w=17\",\"Add (0,2)=26, w=43\",\"Add (2,4)=26, w=69\",\"Add (1,3)=30, w=99\",\"Add (2,6)=31, w=130\",\"Add (2,3)=43, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,4,45],[1,3,30],[2,3,43],[2,4,26],[2,5,17],[2,6,31],[3,4,46],[3,5,69],[4,5,36],[4,6,55],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=17 Succeeded, w=17\",\"Add (0,2)=26 Succeeded, w=43\",\"Add (2,4)=26 Succeeded, w=69\",\"Add (1,3)=30 Succeeded, w=99\",\"Add (2,6)=31 Succeeded, w=130\",\"Add (4,5)=36 Failed, w=130\",\"Add (2,3)=43 Succeeded, w=173\",\"Add (0,4)=45 Failed, w=173\",\"Add (3,4)=46 Failed, w=173\",\"Add (4,6)=55 Failed, w=173\",\"Add (3,5)=69 Failed, w=173\",\"Add (5,6)=76 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,4,45],[1,3,30],[2,3,43],[2,4,26],[2,5,17],[2,6,31],[3,4,46],[3,5,69],[4,5,36],[4,6,55],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=17,(0,2)=26,(2,4)=26,(1,3)=30,(2,6)=31,(4,5)=36,(2,3)=43,(0,4)=45,(3,4)=46,(4,6)=55,(3,5)=69,(5,6)=76]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=43\",\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=69\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=99\",\"Find(2)=2, Find(6)=6, Add (2,6)=31 Succeeded, w=130\",\"Find(4)=2, Find(5)=2, Add (4,5)=36 Failed, w=130\",\"Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=173\",\"Find(0)=2, Find(4)=2, Add (0,4)=45 Failed, w=173\",\"Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=173\",\"Find(4)=2, Find(6)=2, Add (4,6)=55 Failed, w=173\",\"Find(3)=2, Find(5)=2, Add (3,5)=69 Failed, w=173\",\"Find(5)=2, Find(6)=2, Add (5,6)=76 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,4,45],[1,3,30],[2,3,43],[2,4,26],[2,5,17],[2,6,31],[3,4,46],[3,5,69],[4,5,36],[4,6,55],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=17,(0,2)=26,(2,4)=26,(1,3)=30,(2,6)=31,(4,5)=36,(2,3)=43,(0,4)=45,(3,4)=46,(4,6)=55,(3,5)=69,(5,6)=76]\",\"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)=17 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=69\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=99\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=31 Succeeded, w=130\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=36 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=45 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=55 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=69 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=76 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,46],[0,2,66],[0,3,52],[1,2,4],[1,3,67],[2,3,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,66],[0,3,52],[1,2,4],[1,3,67],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,66],[0,3,52],[1,2,4],[1,3,67],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,66],[0,3,52],[1,2,4],[1,3,67],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (2,3)=6, w=10\",\"Add (0,1)=46, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,66],[0,3,52],[1,2,4],[1,3,67],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (2,3)=6 Succeeded, w=10\",\"Add (0,1)=46 Succeeded, w=56\",\"Add (0,3)=52 Failed, w=56\",\"Add (0,2)=66 Failed, w=56\",\"Add (1,3)=67 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,66],[0,3,52],[1,2,4],[1,3,67],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(2,3)=6,(0,1)=46,(0,3)=52,(0,2)=66,(1,3)=67]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(2)=1, Find(3)=3, Add (2,3)=6 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=56\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=56\",\"Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=56\",\"Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,66],[0,3,52],[1,2,4],[1,3,67],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(2,3)=6,(0,1)=46,(0,3)=52,(0,2)=66,(1,3)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=6 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=66 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,90],[0,3,64],[0,4,43],[1,2,98],[1,3,64],[1,4,33],[2,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,64],[0,4,43],[1,2,98],[1,3,64],[1,4,33],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,64],[0,4,43],[1,2,98],[1,3,64],[1,4,33],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,64],[0,4,43],[1,2,98],[1,3,64],[1,4,33],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (1,4)=33, w=36\",\"Add (0,4)=43, w=79\",\"Add (0,3)=64, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,64],[0,4,43],[1,2,98],[1,3,64],[1,4,33],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (1,4)=33 Succeeded, w=36\",\"Add (0,4)=43 Succeeded, w=79\",\"Add (0,3)=64 Succeeded, w=143\",\"Add (1,3)=64 Failed, w=143\",\"Add (0,2)=90 Failed, w=143\",\"Add (1,2)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,64],[0,4,43],[1,2,98],[1,3,64],[1,4,33],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(1,4)=33,(0,4)=43,(0,3)=64,(1,3)=64,(0,2)=90,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=2, Add (1,4)=33 Succeeded, w=36\",\"Find(0)=0, Find(4)=2, Add (0,4)=43 Succeeded, w=79\",\"Find(0)=2, Find(3)=3, Add (0,3)=64 Succeeded, w=143\",\"Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=143\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=143\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,64],[0,4,43],[1,2,98],[1,3,64],[1,4,33],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(1,4)=33,(0,4)=43,(0,3)=64,(1,3)=64,(0,2)=90,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=33 Succeeded, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=43 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=64 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,86],[0,2,17],[0,3,65],[0,4,98],[0,5,81],[0,6,74],[1,2,20],[1,3,92],[1,4,54],[1,5,65],[2,3,34],[2,4,97],[2,6,20],[3,4,68],[3,5,59],[3,6,22],[4,5,34],[4,6,33],[5,6,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,17],[0,3,65],[0,4,98],[0,5,81],[0,6,74],[1,2,20],[1,3,92],[1,4,54],[1,5,65],[2,3,34],[2,4,97],[2,6,20],[3,4,68],[3,5,59],[3,6,22],[4,5,34],[4,6,33],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,17],[0,3,65],[0,4,98],[0,5,81],[0,6,74],[1,2,20],[1,3,92],[1,4,54],[1,5,65],[2,3,34],[2,4,97],[2,6,20],[3,4,68],[3,5,59],[3,6,22],[4,5,34],[4,6,33],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (4,5)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,17],[0,3,65],[0,4,98],[0,5,81],[0,6,74],[1,2,20],[1,3,92],[1,4,54],[1,5,65],[2,3,34],[2,4,97],[2,6,20],[3,4,68],[3,5,59],[3,6,22],[4,5,34],[4,6,33],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (1,2)=20, w=37\",\"Add (2,6)=20, w=57\",\"Add (3,6)=22, w=79\",\"Add (4,6)=33, w=112\",\"Add (4,5)=34, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,17],[0,3,65],[0,4,98],[0,5,81],[0,6,74],[1,2,20],[1,3,92],[1,4,54],[1,5,65],[2,3,34],[2,4,97],[2,6,20],[3,4,68],[3,5,59],[3,6,22],[4,5,34],[4,6,33],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (1,2)=20 Succeeded, w=37\",\"Add (2,6)=20 Succeeded, w=57\",\"Add (3,6)=22 Succeeded, w=79\",\"Add (4,6)=33 Succeeded, w=112\",\"Add (2,3)=34 Failed, w=112\",\"Add (4,5)=34 Succeeded, w=146\",\"Add (5,6)=51 Failed, w=146\",\"Add (1,4)=54 Failed, w=146\",\"Add (3,5)=59 Failed, w=146\",\"Add (0,3)=65 Failed, w=146\",\"Add (1,5)=65 Failed, w=146\",\"Add (3,4)=68 Failed, w=146\",\"Add (0,6)=74 Failed, w=146\",\"Add (0,5)=81 Failed, w=146\",\"Add (0,1)=86 Failed, w=146\",\"Add (1,3)=92 Failed, w=146\",\"Add (2,4)=97 Failed, w=146\",\"Add (0,4)=98 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,17],[0,3,65],[0,4,98],[0,5,81],[0,6,74],[1,2,20],[1,3,92],[1,4,54],[1,5,65],[2,3,34],[2,4,97],[2,6,20],[3,4,68],[3,5,59],[3,6,22],[4,5,34],[4,6,33],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(1,2)=20,(2,6)=20,(3,6)=22,(4,6)=33,(2,3)=34,(4,5)=34,(5,6)=51,(1,4)=54,(3,5)=59,(0,3)=65,(1,5)=65,(3,4)=68,(0,6)=74,(0,5)=81,(0,1)=86,(1,3)=92,(2,4)=97,(0,4)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=37\",\"Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=57\",\"Find(3)=3, Find(6)=0, Add (3,6)=22 Succeeded, w=79\",\"Find(4)=4, Find(6)=0, Add (4,6)=33 Succeeded, w=112\",\"Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=112\",\"Find(4)=0, Find(5)=5, Add (4,5)=34 Succeeded, w=146\",\"Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=146\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=146\",\"Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=146\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=146\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=146\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=146\",\"Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=146\",\"Find(0)=0, Find(5)=0, Add (0,5)=81 Failed, w=146\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=146\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=146\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=146\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,17],[0,3,65],[0,4,98],[0,5,81],[0,6,74],[1,2,20],[1,3,92],[1,4,54],[1,5,65],[2,3,34],[2,4,97],[2,6,20],[3,4,68],[3,5,59],[3,6,22],[4,5,34],[4,6,33],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(1,2)=20,(2,6)=20,(3,6)=22,(4,6)=33,(2,3)=34,(4,5)=34,(5,6)=51,(1,4)=54,(3,5)=59,(0,3)=65,(1,5)=65,(3,4)=68,(0,6)=74,(0,5)=81,(0,1)=86,(1,3)=92,(2,4)=97,(0,4)=98]\",\"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)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=22 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=33 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=34 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=146\",\"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=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=81 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,58],[0,3,2],[1,3,3],[1,4,41],[2,6,30],[3,6,35],[4,5,50],[4,6,93],[5,6,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,2],[1,3,3],[1,4,41],[2,6,30],[3,6,35],[4,5,50],[4,6,93],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,2],[1,3,3],[1,4,41],[2,6,30],[3,6,35],[4,5,50],[4,6,93],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (5,6)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,2],[1,3,3],[1,4,41],[2,6,30],[3,6,35],[4,5,50],[4,6,93],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,3)=3, w=5\",\"Add (2,6)=30, w=35\",\"Add (3,6)=35, w=70\",\"Add (1,4)=41, w=111\",\"Add (5,6)=47, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,2],[1,3,3],[1,4,41],[2,6,30],[3,6,35],[4,5,50],[4,6,93],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,3)=3 Succeeded, w=5\",\"Add (2,6)=30 Succeeded, w=35\",\"Add (3,6)=35 Succeeded, w=70\",\"Add (1,4)=41 Succeeded, w=111\",\"Add (5,6)=47 Succeeded, w=158\",\"Add (4,5)=50 Failed, w=158\",\"Add (0,2)=58 Failed, w=158\",\"Add (4,6)=93 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,2],[1,3,3],[1,4,41],[2,6,30],[3,6,35],[4,5,50],[4,6,93],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=3,(2,6)=30,(3,6)=35,(1,4)=41,(5,6)=47,(4,5)=50,(0,2)=58,(4,6)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=0, Add (1,3)=3 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=35\",\"Find(3)=0, Find(6)=2, Add (3,6)=35 Succeeded, w=70\",\"Find(1)=0, Find(4)=4, Add (1,4)=41 Succeeded, w=111\",\"Find(5)=5, Find(6)=0, Add (5,6)=47 Succeeded, w=158\",\"Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=158\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=158\",\"Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,2],[1,3,3],[1,4,41],[2,6,30],[3,6,35],[4,5,50],[4,6,93],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=3,(2,6)=30,(3,6)=35,(1,4)=41,(5,6)=47,(4,5)=50,(0,2)=58,(4,6)=93]\",\"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: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 2}, Find(3)=0, Find(6)=2, Add (3,6)=35 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2}, Find(1)=0, Find(4)=4, Add (1,4)=41 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=47 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=62, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=62 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=62]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=62 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=62 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,1],[0,2,10],[0,3,39],[0,4,69],[0,5,98],[0,6,49],[1,2,32],[1,3,21],[1,4,25],[1,5,23],[1,6,41],[2,3,95],[2,4,75],[2,5,87],[2,6,40],[3,4,22],[3,5,40],[3,6,28],[4,5,0],[4,6,0],[5,6,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,10],[0,3,39],[0,4,69],[0,5,98],[0,6,49],[1,2,32],[1,3,21],[1,4,25],[1,5,23],[1,6,41],[2,3,95],[2,4,75],[2,5,87],[2,6,40],[3,4,22],[3,5,40],[3,6,28],[4,5,0],[4,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,10],[0,3,39],[0,4,69],[0,5,98],[0,6,49],[1,2,32],[1,3,21],[1,4,25],[1,5,23],[1,6,41],[2,3,95],[2,4,75],[2,5,87],[2,6,40],[3,4,22],[3,5,40],[3,6,28],[4,5,0],[4,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,10],[0,3,39],[0,4,69],[0,5,98],[0,6,49],[1,2,32],[1,3,21],[1,4,25],[1,5,23],[1,6,41],[2,3,95],[2,4,75],[2,5,87],[2,6,40],[3,4,22],[3,5,40],[3,6,28],[4,5,0],[4,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (4,6)=0, w=0\",\"Add (0,1)=1, w=1\",\"Add (0,2)=10, w=11\",\"Add (1,3)=21, w=32\",\"Add (3,4)=22, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,10],[0,3,39],[0,4,69],[0,5,98],[0,6,49],[1,2,32],[1,3,21],[1,4,25],[1,5,23],[1,6,41],[2,3,95],[2,4,75],[2,5,87],[2,6,40],[3,4,22],[3,5,40],[3,6,28],[4,5,0],[4,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (4,6)=0 Succeeded, w=0\",\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,2)=10 Succeeded, w=11\",\"Add (1,3)=21 Succeeded, w=32\",\"Add (3,4)=22 Succeeded, w=54\",\"Add (1,5)=23 Failed, w=54\",\"Add (1,4)=25 Failed, w=54\",\"Add (3,6)=28 Failed, w=54\",\"Add (1,2)=32 Failed, w=54\",\"Add (0,3)=39 Failed, w=54\",\"Add (2,6)=40 Failed, w=54\",\"Add (3,5)=40 Failed, w=54\",\"Add (1,6)=41 Failed, w=54\",\"Add (0,6)=49 Failed, w=54\",\"Add (0,4)=69 Failed, w=54\",\"Add (2,4)=75 Failed, w=54\",\"Add (5,6)=84 Failed, w=54\",\"Add (2,5)=87 Failed, w=54\",\"Add (2,3)=95 Failed, w=54\",\"Add (0,5)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,10],[0,3,39],[0,4,69],[0,5,98],[0,6,49],[1,2,32],[1,3,21],[1,4,25],[1,5,23],[1,6,41],[2,3,95],[2,4,75],[2,5,87],[2,6,40],[3,4,22],[3,5,40],[3,6,28],[4,5,0],[4,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(4,6)=0,(0,1)=1,(0,2)=10,(1,3)=21,(3,4)=22,(1,5)=23,(1,4)=25,(3,6)=28,(1,2)=32,(0,3)=39,(2,6)=40,(3,5)=40,(1,6)=41,(0,6)=49,(0,4)=69,(2,4)=75,(5,6)=84,(2,5)=87,(2,3)=95,(0,5)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=11\",\"Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=32\",\"Find(3)=0, Find(4)=4, Add (3,4)=22 Succeeded, w=54\",\"Find(1)=0, Find(5)=0, Add (1,5)=23 Failed, w=54\",\"Find(1)=0, Find(4)=0, Add (1,4)=25 Failed, w=54\",\"Find(3)=0, Find(6)=0, Add (3,6)=28 Failed, w=54\",\"Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=54\",\"Find(0)=0, Find(3)=0, Add (0,3)=39 Failed, w=54\",\"Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=54\",\"Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=54\",\"Find(1)=0, Find(6)=0, Add (1,6)=41 Failed, w=54\",\"Find(0)=0, Find(6)=0, Add (0,6)=49 Failed, w=54\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=54\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=54\",\"Find(5)=0, Find(6)=0, Add (5,6)=84 Failed, w=54\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=54\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=54\",\"Find(0)=0, Find(5)=0, Add (0,5)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,10],[0,3,39],[0,4,69],[0,5,98],[0,6,49],[1,2,32],[1,3,21],[1,4,25],[1,5,23],[1,6,41],[2,3,95],[2,4,75],[2,5,87],[2,6,40],[3,4,22],[3,5,40],[3,6,28],[4,5,0],[4,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(4,6)=0,(0,1)=1,(0,2)=10,(1,3)=21,(3,4)=22,(1,5)=23,(1,4)=25,(3,6)=28,(1,2)=32,(0,3)=39,(2,6)=40,(3,5)=40,(1,6)=41,(0,6)=49,(0,4)=69,(2,4)=75,(5,6)=84,(2,5)=87,(2,3)=95,(0,5)=98]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4}, Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 4}, Find(3)=0, Find(4)=4, Add (3,4)=22 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(5)=0, Add (1,5)=23 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(4)=0, Add (1,4)=25 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=28 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=39 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=41 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=49 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=84 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,87],[0,5,25],[1,4,93],[1,5,41],[2,4,67],[2,5,24],[3,5,4],[3,6,1],[4,5,4],[5,6,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,87],[0,5,25],[1,4,93],[1,5,41],[2,4,67],[2,5,24],[3,5,4],[3,6,1],[4,5,4],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,87],[0,5,25],[1,4,93],[1,5,41],[2,4,67],[2,5,24],[3,5,4],[3,6,1],[4,5,4],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,87],[0,5,25],[1,4,93],[1,5,41],[2,4,67],[2,5,24],[3,5,4],[3,6,1],[4,5,4],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (3,5)=4, w=5\",\"Add (4,5)=4, w=9\",\"Add (2,5)=24, w=33\",\"Add (0,5)=25, w=58\",\"Add (1,5)=41, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,87],[0,5,25],[1,4,93],[1,5,41],[2,4,67],[2,5,24],[3,5,4],[3,6,1],[4,5,4],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (3,5)=4 Succeeded, w=5\",\"Add (4,5)=4 Succeeded, w=9\",\"Add (5,6)=22 Failed, w=9\",\"Add (2,5)=24 Succeeded, w=33\",\"Add (0,5)=25 Succeeded, w=58\",\"Add (1,5)=41 Succeeded, w=99\",\"Add (2,4)=67 Failed, w=99\",\"Add (0,4)=87 Failed, w=99\",\"Add (1,4)=93 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,87],[0,5,25],[1,4,93],[1,5,41],[2,4,67],[2,5,24],[3,5,4],[3,6,1],[4,5,4],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(3,5)=4,(4,5)=4,(5,6)=22,(2,5)=24,(0,5)=25,(1,5)=41,(2,4)=67,(0,4)=87,(1,4)=93]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=5\",\"Find(4)=4, Find(5)=3, Add (4,5)=4 Succeeded, w=9\",\"Find(5)=3, Find(6)=3, Add (5,6)=22 Failed, w=9\",\"Find(2)=2, Find(5)=3, Add (2,5)=24 Succeeded, w=33\",\"Find(0)=0, Find(5)=3, Add (0,5)=25 Succeeded, w=58\",\"Find(1)=1, Find(5)=3, Add (1,5)=41 Succeeded, w=99\",\"Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=99\",\"Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=99\",\"Find(1)=3, Find(4)=3, Add (1,4)=93 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,87],[0,5,25],[1,4,93],[1,5,41],[2,4,67],[2,5,24],[3,5,4],[3,6,1],[4,5,4],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(3,5)=4,(4,5)=4,(5,6)=22,(2,5)=24,(0,5)=25,(1,5)=41,(2,4)=67,(0,4)=87,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=4, Find(5)=3, Add (4,5)=4 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=22 Failed, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=2, Find(5)=3, Add (2,5)=24 Succeeded, w=33\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=25 Succeeded, w=58\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(5)=3, Add (1,5)=41 Succeeded, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=67 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=93 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,52],[0,3,50],[0,4,68],[1,2,78],[1,3,73],[1,4,85],[2,3,91],[2,4,32],[3,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,52],[0,3,50],[0,4,68],[1,2,78],[1,3,73],[1,4,85],[2,3,91],[2,4,32],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,52],[0,3,50],[0,4,68],[1,2,78],[1,3,73],[1,4,85],[2,3,91],[2,4,32],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,52],[0,3,50],[0,4,68],[1,2,78],[1,3,73],[1,4,85],[2,3,91],[2,4,32],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=32, w=32\",\"Add (0,1)=36, w=68\",\"Add (3,4)=46, w=114\",\"Add (0,3)=50, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,52],[0,3,50],[0,4,68],[1,2,78],[1,3,73],[1,4,85],[2,3,91],[2,4,32],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=32 Succeeded, w=32\",\"Add (0,1)=36 Succeeded, w=68\",\"Add (3,4)=46 Succeeded, w=114\",\"Add (0,3)=50 Succeeded, w=164\",\"Add (0,2)=52 Failed, w=164\",\"Add (0,4)=68 Failed, w=164\",\"Add (1,3)=73 Failed, w=164\",\"Add (1,2)=78 Failed, w=164\",\"Add (1,4)=85 Failed, w=164\",\"Add (2,3)=91 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,52],[0,3,50],[0,4,68],[1,2,78],[1,3,73],[1,4,85],[2,3,91],[2,4,32],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=32,(0,1)=36,(3,4)=46,(0,3)=50,(0,2)=52,(0,4)=68,(1,3)=73,(1,2)=78,(1,4)=85,(2,3)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=68\",\"Find(3)=3, Find(4)=2, Add (3,4)=46 Succeeded, w=114\",\"Find(0)=0, Find(3)=2, Add (0,3)=50 Succeeded, w=164\",\"Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=164\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=164\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=164\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=164\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=164\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,52],[0,3,50],[0,4,68],[1,2,78],[1,3,73],[1,4,85],[2,3,91],[2,4,32],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=32,(0,1)=36,(3,4)=46,(0,3)=50,(0,2)=52,(0,4)=68,(1,3)=73,(1,2)=78,(1,4)=85,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=46 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=50 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,5],[1,2,93],[1,4,39],[2,3,30],[2,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,5],[1,2,93],[1,4,39],[2,3,30],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,5],[1,2,93],[1,4,39],[2,3,30],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,5],[1,2,93],[1,4,39],[2,3,30],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (2,4)=6, w=11\",\"Add (2,3)=30, w=41\",\"Add (1,4)=39, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,5],[1,2,93],[1,4,39],[2,3,30],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (2,4)=6 Succeeded, w=11\",\"Add (2,3)=30 Succeeded, w=41\",\"Add (1,4)=39 Succeeded, w=80\",\"Add (1,2)=93 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,5],[1,2,93],[1,4,39],[2,3,30],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,4)=6,(2,3)=30,(1,4)=39,(1,2)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=11\",\"Find(2)=2, Find(3)=0, Add (2,3)=30 Succeeded, w=41\",\"Find(1)=1, Find(4)=2, Add (1,4)=39 Succeeded, w=80\",\"Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,5],[1,2,93],[1,4,39],[2,3,30],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,4)=6,(2,3)=30,(1,4)=39,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=30 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=39 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,36],[1,2,74],[1,4,89],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,36],[1,2,74],[1,4,89],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,36],[1,2,74],[1,4,89],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,36],[1,2,74],[1,4,89],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (0,4)=36, w=39\",\"Add (1,2)=74, w=113\",\"Add (1,4)=89, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,36],[1,2,74],[1,4,89],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (0,4)=36 Succeeded, w=39\",\"Add (1,2)=74 Succeeded, w=113\",\"Add (1,4)=89 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,36],[1,2,74],[1,4,89],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,4)=36,(1,2)=74,(1,4)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=3, Add (0,4)=36 Succeeded, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=74 Succeeded, w=113\",\"Find(1)=1, Find(4)=3, Add (1,4)=89 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,36],[1,2,74],[1,4,89],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,4)=36,(1,2)=74,(1,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=36 Succeeded, w=39\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=74 Succeeded, w=113\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=89 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[1,2,42],[1,3,27],[1,4,38],[2,3,44],[2,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[1,2,42],[1,3,27],[1,4,38],[2,3,44],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[1,2,42],[1,3,27],[1,4,38],[2,3,44],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (1,2)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[1,2,42],[1,3,27],[1,4,38],[2,3,44],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=27, w=27\",\"Add (0,1)=31, w=58\",\"Add (1,4)=38, w=96\",\"Add (1,2)=42, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[1,2,42],[1,3,27],[1,4,38],[2,3,44],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=27 Succeeded, w=27\",\"Add (0,1)=31 Succeeded, w=58\",\"Add (1,4)=38 Succeeded, w=96\",\"Add (1,2)=42 Succeeded, w=138\",\"Add (2,3)=44 Failed, w=138\",\"Add (2,4)=53 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[1,2,42],[1,3,27],[1,4,38],[2,3,44],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=27,(0,1)=31,(1,4)=38,(1,2)=42,(2,3)=44,(2,4)=53]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=58\",\"Find(1)=1, Find(4)=4, Add (1,4)=38 Succeeded, w=96\",\"Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=138\",\"Find(2)=1, Find(3)=1, Add (2,3)=44 Failed, w=138\",\"Find(2)=1, Find(4)=1, Add (2,4)=53 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[1,2,42],[1,3,27],[1,4,38],[2,3,44],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=27,(0,1)=31,(1,4)=38,(1,2)=42,(2,3)=44,(2,4)=53]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=38 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=44 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=53 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,3,31],[0,4,94],[0,6,71],[1,2,74],[1,5,96],[1,6,4],[2,3,70],[3,5,54],[3,6,70],[4,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,3,31],[0,4,94],[0,6,71],[1,2,74],[1,5,96],[1,6,4],[2,3,70],[3,5,54],[3,6,70],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":301}",
"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],[0,3,31],[0,4,94],[0,6,71],[1,2,74],[1,5,96],[1,6,4],[2,3,70],[3,5,54],[3,6,70],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":301}",
"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],[0,3,31],[0,4,94],[0,6,71],[1,2,74],[1,5,96],[1,6,4],[2,3,70],[3,5,54],[3,6,70],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (0,3)=31, w=35\",\"Add (0,1)=48, w=83\",\"Add (3,5)=54, w=137\",\"Add (2,3)=70, w=207\",\"Add (0,4)=94, w=301\"],\"Answer\":301}",
"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],[0,3,31],[0,4,94],[0,6,71],[1,2,74],[1,5,96],[1,6,4],[2,3,70],[3,5,54],[3,6,70],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (0,3)=31 Succeeded, w=35\",\"Add (0,1)=48 Succeeded, w=83\",\"Add (3,5)=54 Succeeded, w=137\",\"Add (2,3)=70 Succeeded, w=207\",\"Add (3,6)=70 Failed, w=207\",\"Add (0,6)=71 Failed, w=207\",\"Add (1,2)=74 Failed, w=207\",\"Add (0,4)=94 Succeeded, w=301\",\"Add (1,5)=96 Failed, w=301\",\"Add (4,5)=98 Failed, w=301\"],\"Answer\":301}",
"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],[0,3,31],[0,4,94],[0,6,71],[1,2,74],[1,5,96],[1,6,4],[2,3,70],[3,5,54],[3,6,70],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(0,3)=31,(0,1)=48,(3,5)=54,(2,3)=70,(3,6)=70,(0,6)=71,(1,2)=74,(0,4)=94,(1,5)=96,(4,5)=98]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=83\",\"Find(3)=0, Find(5)=5, Add (3,5)=54 Succeeded, w=137\",\"Find(2)=2, Find(3)=0, Add (2,3)=70 Succeeded, w=207\",\"Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=207\",\"Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=207\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=207\",\"Find(0)=0, Find(4)=4, Add (0,4)=94 Succeeded, w=301\",\"Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=301\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=301\"],\"Answer\":301}",
"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],[0,3,31],[0,4,94],[0,6,71],[1,2,74],[1,5,96],[1,6,4],[2,3,70],[3,5,54],[3,6,70],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(0,3)=31,(0,1)=48,(3,5)=54,(2,3)=70,(3,6)=70,(0,6)=71,(1,2)=74,(0,4)=94,(1,5)=96,(4,5)=98]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 1}, Find(3)=0, Find(5)=5, Add (3,5)=54 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 1}, Find(2)=2, Find(3)=0, Add (2,3)=70 Succeeded, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=94 Succeeded, w=301\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=301\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=301\"],\"Answer\":301}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,63],[1,2,71],[1,3,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,63],[1,2,71],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,63],[1,2,71],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,63],[1,2,71],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=63, w=63\",\"Add (1,3)=68, w=131\",\"Add (1,2)=71, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,63],[1,2,71],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=63 Succeeded, w=63\",\"Add (1,3)=68 Succeeded, w=131\",\"Add (1,2)=71 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,63],[1,2,71],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=63,(1,3)=68,(1,2)=71]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=63\",\"Find(1)=1, Find(3)=0, Add (1,3)=68 Succeeded, w=131\",\"Find(1)=0, Find(2)=2, Add (1,2)=71 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,63],[1,2,71],[1,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=63,(1,3)=68,(1,2)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=68 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=71 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,91],[0,3,94],[1,2,91],[1,3,31],[2,3,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,94],[1,2,91],[1,3,31],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,94],[1,2,91],[1,3,31],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,94],[1,2,91],[1,3,31],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=28, w=28\",\"Add (1,3)=31, w=59\",\"Add (0,2)=91, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,94],[1,2,91],[1,3,31],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=28 Succeeded, w=28\",\"Add (1,3)=31 Succeeded, w=59\",\"Add (0,2)=91 Succeeded, w=150\",\"Add (1,2)=91 Failed, w=150\",\"Add (0,3)=94 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,94],[1,2,91],[1,3,31],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=28,(1,3)=31,(0,2)=91,(1,2)=91,(0,3)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Find(1)=1, Find(3)=2, Add (1,3)=31 Succeeded, w=59\",\"Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=150\",\"Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=150\",\"Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,91],[0,3,94],[1,2,91],[1,3,31],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=28,(1,3)=31,(0,2)=91,(1,2)=91,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=31 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,2,68],[0,3,68],[0,4,5],[1,2,98],[1,3,75],[1,4,69],[2,3,84],[2,4,11],[3,4,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,68],[0,3,68],[0,4,5],[1,2,98],[1,3,75],[1,4,69],[2,3,84],[2,4,11],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,68],[0,3,68],[0,4,5],[1,2,98],[1,3,75],[1,4,69],[2,3,84],[2,4,11],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,68],[0,3,68],[0,4,5],[1,2,98],[1,3,75],[1,4,69],[2,3,84],[2,4,11],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (2,4)=11, w=16\",\"Add (3,4)=56, w=72\",\"Add (1,4)=69, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,68],[0,3,68],[0,4,5],[1,2,98],[1,3,75],[1,4,69],[2,3,84],[2,4,11],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (2,4)=11 Succeeded, w=16\",\"Add (3,4)=56 Succeeded, w=72\",\"Add (0,2)=68 Failed, w=72\",\"Add (0,3)=68 Failed, w=72\",\"Add (1,4)=69 Succeeded, w=141\",\"Add (0,1)=74 Failed, w=141\",\"Add (1,3)=75 Failed, w=141\",\"Add (2,3)=84 Failed, w=141\",\"Add (1,2)=98 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,68],[0,3,68],[0,4,5],[1,2,98],[1,3,75],[1,4,69],[2,3,84],[2,4,11],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(2,4)=11,(3,4)=56,(0,2)=68,(0,3)=68,(1,4)=69,(0,1)=74,(1,3)=75,(2,3)=84,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=0, Add (2,4)=11 Succeeded, w=16\",\"Find(3)=3, Find(4)=0, Add (3,4)=56 Succeeded, w=72\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=72\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=72\",\"Find(1)=1, Find(4)=0, Add (1,4)=69 Succeeded, w=141\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=141\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=141\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=141\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,68],[0,3,68],[0,4,5],[1,2,98],[1,3,75],[1,4,69],[2,3,84],[2,4,11],[3,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(2,4)=11,(3,4)=56,(0,2)=68,(0,3)=68,(1,4)=69,(0,1)=74,(1,3)=75,(2,3)=84,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=56 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=72\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=69 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,44],[0,7,46],[1,4,23],[1,6,19],[1,7,39],[2,3,83],[2,4,30],[2,6,78],[2,7,1],[3,5,17],[3,6,52],[3,7,5],[4,5,38],[4,6,42],[4,7,92],[5,7,95],[6,7,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,44],[0,7,46],[1,4,23],[1,6,19],[1,7,39],[2,3,83],[2,4,30],[2,6,78],[2,7,1],[3,5,17],[3,6,52],[3,7,5],[4,5,38],[4,6,42],[4,7,92],[5,7,95],[6,7,95]]}",
"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\":[[0,2,44],[0,7,46],[1,4,23],[1,6,19],[1,7,39],[2,3,83],[2,4,30],[2,6,78],[2,7,1],[3,5,17],[3,6,52],[3,7,5],[4,5,38],[4,6,42],[4,7,92],[5,7,95],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (3,7)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (1,4)\",\"Add (2,4)\",\"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\":[[0,2,44],[0,7,46],[1,4,23],[1,6,19],[1,7,39],[2,3,83],[2,4,30],[2,6,78],[2,7,1],[3,5,17],[3,6,52],[3,7,5],[4,5,38],[4,6,42],[4,7,92],[5,7,95],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=1, w=1\",\"Add (3,7)=5, w=6\",\"Add (3,5)=17, w=23\",\"Add (1,6)=19, w=42\",\"Add (1,4)=23, w=65\",\"Add (2,4)=30, w=95\",\"Add (0,2)=44, 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\":[[0,2,44],[0,7,46],[1,4,23],[1,6,19],[1,7,39],[2,3,83],[2,4,30],[2,6,78],[2,7,1],[3,5,17],[3,6,52],[3,7,5],[4,5,38],[4,6,42],[4,7,92],[5,7,95],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=1 Succeeded, w=1\",\"Add (3,7)=5 Succeeded, w=6\",\"Add (3,5)=17 Succeeded, w=23\",\"Add (1,6)=19 Succeeded, w=42\",\"Add (1,4)=23 Succeeded, w=65\",\"Add (2,4)=30 Succeeded, w=95\",\"Add (4,5)=38 Failed, w=95\",\"Add (1,7)=39 Failed, w=95\",\"Add (4,6)=42 Failed, w=95\",\"Add (0,2)=44 Succeeded, w=139\",\"Add (0,7)=46 Failed, w=139\",\"Add (3,6)=52 Failed, w=139\",\"Add (2,6)=78 Failed, w=139\",\"Add (2,3)=83 Failed, w=139\",\"Add (4,7)=92 Failed, w=139\",\"Add (5,7)=95 Failed, w=139\",\"Add (6,7)=95 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\":[[0,2,44],[0,7,46],[1,4,23],[1,6,19],[1,7,39],[2,3,83],[2,4,30],[2,6,78],[2,7,1],[3,5,17],[3,6,52],[3,7,5],[4,5,38],[4,6,42],[4,7,92],[5,7,95],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=1,(3,7)=5,(3,5)=17,(1,6)=19,(1,4)=23,(2,4)=30,(4,5)=38,(1,7)=39,(4,6)=42,(0,2)=44,(0,7)=46,(3,6)=52,(2,6)=78,(2,3)=83,(4,7)=92,(5,7)=95,(6,7)=95]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=1 Succeeded, w=1\",\"Find(3)=3, Find(7)=2, Add (3,7)=5 Succeeded, w=6\",\"Find(3)=2, Find(5)=5, Add (3,5)=17 Succeeded, w=23\",\"Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=42\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=65\",\"Find(2)=2, Find(4)=1, Add (2,4)=30 Succeeded, w=95\",\"Find(4)=2, Find(5)=2, Add (4,5)=38 Failed, w=95\",\"Find(1)=2, Find(7)=2, Add (1,7)=39 Failed, w=95\",\"Find(4)=2, Find(6)=2, Add (4,6)=42 Failed, w=95\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=139\",\"Find(0)=2, Find(7)=2, Add (0,7)=46 Failed, w=139\",\"Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=139\",\"Find(2)=2, Find(6)=2, Add (2,6)=78 Failed, w=139\",\"Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=139\",\"Find(4)=2, Find(7)=2, Add (4,7)=92 Failed, w=139\",\"Find(5)=2, Find(7)=2, Add (5,7)=95 Failed, w=139\",\"Find(6)=2, Find(7)=2, Add (6,7)=95 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\":[[0,2,44],[0,7,46],[1,4,23],[1,6,19],[1,7,39],[2,3,83],[2,4,30],[2,6,78],[2,7,1],[3,5,17],[3,6,52],[3,7,5],[4,5,38],[4,6,42],[4,7,92],[5,7,95],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=1,(3,7)=5,(3,5)=17,(1,6)=19,(1,4)=23,(2,4)=30,(4,5)=38,(1,7)=39,(4,6)=42,(0,2)=44,(0,7)=46,(3,6)=52,(2,6)=78,(2,3)=83,(4,7)=92,(5,7)=95,(6,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(5)=5, Add (3,5)=17 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=65\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2}, Find(2)=2, Find(4)=1, Add (2,4)=30 Succeeded, w=95\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=38 Failed, w=95\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=39 Failed, w=95\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=42 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=139\",\"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)=46 Failed, w=139\",\"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=139\",\"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)=78 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=139\",\"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)=92 Failed, w=139\",\"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)=95 Failed, w=139\",\"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)=95 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,23],[1,2,88],[1,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[1,2,88],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[1,2,88],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[1,2,88],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=23, w=23\",\"Add (1,3)=52, w=75\",\"Add (1,2)=88, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[1,2,88],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=23 Succeeded, w=23\",\"Add (1,3)=52 Succeeded, w=75\",\"Add (1,2)=88 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[1,2,88],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=23,(1,3)=52,(1,2)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=23\",\"Find(1)=0, Find(3)=3, Add (1,3)=52 Succeeded, w=75\",\"Find(1)=0, Find(2)=2, Add (1,2)=88 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[1,2,88],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=23,(1,3)=52,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=52 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=88 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,96],[0,3,36],[0,4,79],[0,5,6],[0,6,58],[0,7,29],[1,2,34],[1,3,52],[1,4,26],[1,6,78],[2,3,14],[2,4,72],[2,5,59],[2,6,44],[2,7,53],[3,4,77],[3,5,94],[3,6,85],[4,5,63],[4,6,88],[4,7,20],[5,6,93],[5,7,28],[6,7,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,3,36],[0,4,79],[0,5,6],[0,6,58],[0,7,29],[1,2,34],[1,3,52],[1,4,26],[1,6,78],[2,3,14],[2,4,72],[2,5,59],[2,6,44],[2,7,53],[3,4,77],[3,5,94],[3,6,85],[4,5,63],[4,6,88],[4,7,20],[5,6,93],[5,7,28],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,3,36],[0,4,79],[0,5,6],[0,6,58],[0,7,29],[1,2,34],[1,3,52],[1,4,26],[1,6,78],[2,3,14],[2,4,72],[2,5,59],[2,6,44],[2,7,53],[3,4,77],[3,5,94],[3,6,85],[4,5,63],[4,6,88],[4,7,20],[5,6,93],[5,7,28],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (6,7)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (1,4)\",\"Add (5,7)\",\"Add (1,2)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,3,36],[0,4,79],[0,5,6],[0,6,58],[0,7,29],[1,2,34],[1,3,52],[1,4,26],[1,6,78],[2,3,14],[2,4,72],[2,5,59],[2,6,44],[2,7,53],[3,4,77],[3,5,94],[3,6,85],[4,5,63],[4,6,88],[4,7,20],[5,6,93],[5,7,28],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6, w=6\",\"Add (6,7)=7, w=13\",\"Add (2,3)=14, w=27\",\"Add (4,7)=20, w=47\",\"Add (1,4)=26, w=73\",\"Add (5,7)=28, w=101\",\"Add (1,2)=34, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,3,36],[0,4,79],[0,5,6],[0,6,58],[0,7,29],[1,2,34],[1,3,52],[1,4,26],[1,6,78],[2,3,14],[2,4,72],[2,5,59],[2,6,44],[2,7,53],[3,4,77],[3,5,94],[3,6,85],[4,5,63],[4,6,88],[4,7,20],[5,6,93],[5,7,28],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6 Succeeded, w=6\",\"Add (6,7)=7 Succeeded, w=13\",\"Add (2,3)=14 Succeeded, w=27\",\"Add (4,7)=20 Succeeded, w=47\",\"Add (1,4)=26 Succeeded, w=73\",\"Add (5,7)=28 Succeeded, w=101\",\"Add (0,7)=29 Failed, w=101\",\"Add (1,2)=34 Succeeded, w=135\",\"Add (0,3)=36 Failed, w=135\",\"Add (2,6)=44 Failed, w=135\",\"Add (1,3)=52 Failed, w=135\",\"Add (2,7)=53 Failed, w=135\",\"Add (0,6)=58 Failed, w=135\",\"Add (2,5)=59 Failed, w=135\",\"Add (4,5)=63 Failed, w=135\",\"Add (2,4)=72 Failed, w=135\",\"Add (3,4)=77 Failed, w=135\",\"Add (1,6)=78 Failed, w=135\",\"Add (0,4)=79 Failed, w=135\",\"Add (3,6)=85 Failed, w=135\",\"Add (4,6)=88 Failed, w=135\",\"Add (5,6)=93 Failed, w=135\",\"Add (3,5)=94 Failed, w=135\",\"Add (0,2)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,3,36],[0,4,79],[0,5,6],[0,6,58],[0,7,29],[1,2,34],[1,3,52],[1,4,26],[1,6,78],[2,3,14],[2,4,72],[2,5,59],[2,6,44],[2,7,53],[3,4,77],[3,5,94],[3,6,85],[4,5,63],[4,6,88],[4,7,20],[5,6,93],[5,7,28],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(6,7)=7,(2,3)=14,(4,7)=20,(1,4)=26,(5,7)=28,(0,7)=29,(1,2)=34,(0,3)=36,(2,6)=44,(1,3)=52,(2,7)=53,(0,6)=58,(2,5)=59,(4,5)=63,(2,4)=72,(3,4)=77,(1,6)=78,(0,4)=79,(3,6)=85,(4,6)=88,(5,6)=93,(3,5)=94,(0,2)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Find(6)=6, Find(7)=7, Add (6,7)=7 Succeeded, w=13\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=27\",\"Find(4)=4, Find(7)=6, Add (4,7)=20 Succeeded, w=47\",\"Find(1)=1, Find(4)=6, Add (1,4)=26 Succeeded, w=73\",\"Find(5)=0, Find(7)=6, Add (5,7)=28 Succeeded, w=101\",\"Find(0)=0, Find(7)=0, Add (0,7)=29 Failed, w=101\",\"Find(1)=0, Find(2)=2, Add (1,2)=34 Succeeded, w=135\",\"Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=135\",\"Find(2)=0, Find(6)=0, Add (2,6)=44 Failed, w=135\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=135\",\"Find(2)=0, Find(7)=0, Add (2,7)=53 Failed, w=135\",\"Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=135\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=135\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=135\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=135\",\"Find(1)=0, Find(6)=0, Add (1,6)=78 Failed, w=135\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=135\",\"Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=135\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=135\",\"Find(5)=0, Find(6)=0, Add (5,6)=93 Failed, w=135\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,96],[0,3,36],[0,4,79],[0,5,6],[0,6,58],[0,7,29],[1,2,34],[1,3,52],[1,4,26],[1,6,78],[2,3,14],[2,4,72],[2,5,59],[2,6,44],[2,7,53],[3,4,77],[3,5,94],[3,6,85],[4,5,63],[4,6,88],[4,7,20],[5,6,93],[5,7,28],[6,7,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(6,7)=7,(2,3)=14,(4,7)=20,(1,4)=26,(5,7)=28,(0,7)=29,(1,2)=34,(0,3)=36,(2,6)=44,(1,3)=52,(2,7)=53,(0,6)=58,(2,5)=59,(4,5)=63,(2,4)=72,(3,4)=77,(1,6)=78,(0,4)=79,(3,6)=85,(4,6)=88,(5,6)=93,(3,5)=94,(0,2)=96]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6, 7: 6}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 6, 5: 0, 6: 6, 7: 6}, Find(4)=4, Find(7)=6, Add (4,7)=20 Succeeded, w=47\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 2, 4: 6, 5: 0, 6: 6, 7: 6}, Find(1)=1, Find(4)=6, Add (1,4)=26 Succeeded, w=73\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 2, 4: 6, 5: 0, 6: 0, 7: 6}, Find(5)=0, Find(7)=6, Add (5,7)=28 Succeeded, w=101\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 2, 4: 6, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=29 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 6, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=34 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=44 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=53 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 6, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=135\",\"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)=72 Failed, w=135\",\"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)=77 Failed, w=135\",\"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)=78 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=135\",\"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)=85 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=135\",\"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)=93 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,45],[0,3,43],[0,4,100],[0,5,70],[1,3,80],[1,4,92],[1,5,87],[2,3,63],[2,4,36],[2,5,62],[3,4,65],[4,5,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,43],[0,4,100],[0,5,70],[1,3,80],[1,4,92],[1,5,87],[2,3,63],[2,4,36],[2,5,62],[3,4,65],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,43],[0,4,100],[0,5,70],[1,3,80],[1,4,92],[1,5,87],[2,3,63],[2,4,36],[2,5,62],[3,4,65],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,43],[0,4,100],[0,5,70],[1,3,80],[1,4,92],[1,5,87],[2,3,63],[2,4,36],[2,5,62],[3,4,65],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=36, w=36\",\"Add (0,3)=43, w=79\",\"Add (0,1)=45, w=124\",\"Add (4,5)=57, w=181\",\"Add (2,3)=63, w=244\"],\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,43],[0,4,100],[0,5,70],[1,3,80],[1,4,92],[1,5,87],[2,3,63],[2,4,36],[2,5,62],[3,4,65],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=36 Succeeded, w=36\",\"Add (0,3)=43 Succeeded, w=79\",\"Add (0,1)=45 Succeeded, w=124\",\"Add (4,5)=57 Succeeded, w=181\",\"Add (2,5)=62 Failed, w=181\",\"Add (2,3)=63 Succeeded, w=244\",\"Add (3,4)=65 Failed, w=244\",\"Add (0,5)=70 Failed, w=244\",\"Add (1,3)=80 Failed, w=244\",\"Add (1,5)=87 Failed, w=244\",\"Add (1,4)=92 Failed, w=244\",\"Add (0,4)=100 Failed, w=244\"],\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,43],[0,4,100],[0,5,70],[1,3,80],[1,4,92],[1,5,87],[2,3,63],[2,4,36],[2,5,62],[3,4,65],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=36,(0,3)=43,(0,1)=45,(4,5)=57,(2,5)=62,(2,3)=63,(3,4)=65,(0,5)=70,(1,3)=80,(1,5)=87,(1,4)=92,(0,4)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=36\",\"Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=79\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=124\",\"Find(4)=2, Find(5)=5, Add (4,5)=57 Succeeded, w=181\",\"Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=181\",\"Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=244\",\"Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=244\",\"Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=244\",\"Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=244\",\"Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=244\",\"Find(1)=2, Find(4)=2, Add (1,4)=92 Failed, w=244\",\"Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=244\"],\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,43],[0,4,100],[0,5,70],[1,3,80],[1,4,92],[1,5,87],[2,3,63],[2,4,36],[2,5,62],[3,4,65],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=36,(0,3)=43,(0,1)=45,(4,5)=57,(2,5)=62,(2,3)=63,(3,4)=65,(0,5)=70,(1,3)=80,(1,5)=87,(1,4)=92,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=57 Succeeded, w=181\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=181\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=244\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=244\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=244\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=244\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=244\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=92 Failed, w=244\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=244\"],\"Answer\":244}",
"role": "assistant"
}
]
|
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