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":[[0,1,48],[0,3,26],[0,4,75],[0,6,45],[1,2,66],[1,4,75],[1,6,23],[2,4,17],[2,5,75],[3,4,91],[3,5,15],[3,6,88],[4,6,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,3,26],[0,4,75],[0,6,45],[1,2,66],[1,4,75],[1,6,23],[2,4,17],[2,5,75],[3,4,91],[3,5,15],[3,6,88],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,3,26],[0,4,75],[0,6,45],[1,2,66],[1,4,75],[1,6,23],[2,4,17],[2,5,75],[3,4,91],[3,5,15],[3,6,88],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (4,6)\",\"Add (0,6)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,3,26],[0,4,75],[0,6,45],[1,2,66],[1,4,75],[1,6,23],[2,4,17],[2,5,75],[3,4,91],[3,5,15],[3,6,88],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=15, w=15\",\"Add (2,4)=17, w=32\",\"Add (1,6)=23, w=55\",\"Add (0,3)=26, w=81\",\"Add (4,6)=43, w=124\",\"Add (0,6)=45, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,3,26],[0,4,75],[0,6,45],[1,2,66],[1,4,75],[1,6,23],[2,4,17],[2,5,75],[3,4,91],[3,5,15],[3,6,88],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=15 Succeeded, w=15\",\"Add (2,4)=17 Succeeded, w=32\",\"Add (1,6)=23 Succeeded, w=55\",\"Add (0,3)=26 Succeeded, w=81\",\"Add (4,6)=43 Succeeded, w=124\",\"Add (0,6)=45 Succeeded, w=169\",\"Add (0,1)=48 Failed, w=169\",\"Add (1,2)=66 Failed, w=169\",\"Add (0,4)=75 Failed, w=169\",\"Add (1,4)=75 Failed, w=169\",\"Add (2,5)=75 Failed, w=169\",\"Add (3,6)=88 Failed, w=169\",\"Add (3,4)=91 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,3,26],[0,4,75],[0,6,45],[1,2,66],[1,4,75],[1,6,23],[2,4,17],[2,5,75],[3,4,91],[3,5,15],[3,6,88],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=15,(2,4)=17,(1,6)=23,(0,3)=26,(4,6)=43,(0,6)=45,(0,1)=48,(1,2)=66,(0,4)=75,(1,4)=75,(2,5)=75,(3,6)=88,(3,4)=91]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=32\",\"Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=55\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=81\",\"Find(4)=2, Find(6)=1, Add (4,6)=43 Succeeded, w=124\",\"Find(0)=3, Find(6)=2, Add (0,6)=45 Succeeded, w=169\",\"Find(0)=2, Find(1)=2, Add (0,1)=48 Failed, w=169\",\"Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=169\",\"Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=169\",\"Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=169\",\"Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=169\",\"Find(3)=2, Find(6)=2, Add (3,6)=88 Failed, w=169\",\"Find(3)=2, Find(4)=2, Add (3,4)=91 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,3,26],[0,4,75],[0,6,45],[1,2,66],[1,4,75],[1,6,23],[2,4,17],[2,5,75],[3,4,91],[3,5,15],[3,6,88],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=15,(2,4)=17,(1,6)=23,(0,3)=26,(4,6)=43,(0,6)=45,(0,1)=48,(1,2)=66,(0,4)=75,(1,4)=75,(2,5)=75,(3,6)=88,(3,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=55\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=81\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3, 6: 1}, Find(4)=2, Find(6)=1, Add (4,6)=43 Succeeded, w=124\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=3, Find(6)=2, Add (0,6)=45 Succeeded, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=48 Failed, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=88 Failed, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=91 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,68],[0,2,15],[0,4,70],[0,5,31],[0,6,34],[0,7,81],[1,5,4],[1,6,24],[2,4,6],[2,5,61],[2,6,13],[2,7,38],[3,4,21],[3,5,7],[3,6,72],[3,7,81],[4,6,89],[5,7,43],[6,7,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,15],[0,4,70],[0,5,31],[0,6,34],[0,7,81],[1,5,4],[1,6,24],[2,4,6],[2,5,61],[2,6,13],[2,7,38],[3,4,21],[3,5,7],[3,6,72],[3,7,81],[4,6,89],[5,7,43],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,15],[0,4,70],[0,5,31],[0,6,34],[0,7,81],[1,5,4],[1,6,24],[2,4,6],[2,5,61],[2,6,13],[2,7,38],[3,4,21],[3,5,7],[3,6,72],[3,7,81],[4,6,89],[5,7,43],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (6,7)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,15],[0,4,70],[0,5,31],[0,6,34],[0,7,81],[1,5,4],[1,6,24],[2,4,6],[2,5,61],[2,6,13],[2,7,38],[3,4,21],[3,5,7],[3,6,72],[3,7,81],[4,6,89],[5,7,43],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (2,4)=6, w=10\",\"Add (3,5)=7, w=17\",\"Add (6,7)=11, w=28\",\"Add (2,6)=13, w=41\",\"Add (0,2)=15, w=56\",\"Add (3,4)=21, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,15],[0,4,70],[0,5,31],[0,6,34],[0,7,81],[1,5,4],[1,6,24],[2,4,6],[2,5,61],[2,6,13],[2,7,38],[3,4,21],[3,5,7],[3,6,72],[3,7,81],[4,6,89],[5,7,43],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (2,4)=6 Succeeded, w=10\",\"Add (3,5)=7 Succeeded, w=17\",\"Add (6,7)=11 Succeeded, w=28\",\"Add (2,6)=13 Succeeded, w=41\",\"Add (0,2)=15 Succeeded, w=56\",\"Add (3,4)=21 Succeeded, w=77\",\"Add (1,6)=24 Failed, w=77\",\"Add (0,5)=31 Failed, w=77\",\"Add (0,6)=34 Failed, w=77\",\"Add (2,7)=38 Failed, w=77\",\"Add (5,7)=43 Failed, w=77\",\"Add (2,5)=61 Failed, w=77\",\"Add (0,1)=68 Failed, w=77\",\"Add (0,4)=70 Failed, w=77\",\"Add (3,6)=72 Failed, w=77\",\"Add (0,7)=81 Failed, w=77\",\"Add (3,7)=81 Failed, w=77\",\"Add (4,6)=89 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,15],[0,4,70],[0,5,31],[0,6,34],[0,7,81],[1,5,4],[1,6,24],[2,4,6],[2,5,61],[2,6,13],[2,7,38],[3,4,21],[3,5,7],[3,6,72],[3,7,81],[4,6,89],[5,7,43],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(2,4)=6,(3,5)=7,(6,7)=11,(2,6)=13,(0,2)=15,(3,4)=21,(1,6)=24,(0,5)=31,(0,6)=34,(2,7)=38,(5,7)=43,(2,5)=61,(0,1)=68,(0,4)=70,(3,6)=72,(0,7)=81,(3,7)=81,(4,6)=89]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=10\",\"Find(3)=3, Find(5)=1, Add (3,5)=7 Succeeded, w=17\",\"Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=28\",\"Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=56\",\"Find(3)=1, Find(4)=2, Add (3,4)=21 Succeeded, w=77\",\"Find(1)=2, Find(6)=2, Add (1,6)=24 Failed, w=77\",\"Find(0)=2, Find(5)=2, Add (0,5)=31 Failed, w=77\",\"Find(0)=2, Find(6)=2, Add (0,6)=34 Failed, w=77\",\"Find(2)=2, Find(7)=2, Add (2,7)=38 Failed, w=77\",\"Find(5)=2, Find(7)=2, Add (5,7)=43 Failed, w=77\",\"Find(2)=2, Find(5)=2, Add (2,5)=61 Failed, w=77\",\"Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=77\",\"Find(0)=2, Find(4)=2, Add (0,4)=70 Failed, w=77\",\"Find(3)=2, Find(6)=2, Add (3,6)=72 Failed, w=77\",\"Find(0)=2, Find(7)=2, Add (0,7)=81 Failed, w=77\",\"Find(3)=2, Find(7)=2, Add (3,7)=81 Failed, w=77\",\"Find(4)=2, Find(6)=2, Add (4,6)=89 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,15],[0,4,70],[0,5,31],[0,6,34],[0,7,81],[1,5,4],[1,6,24],[2,4,6],[2,5,61],[2,6,13],[2,7,38],[3,4,21],[3,5,7],[3,6,72],[3,7,81],[4,6,89],[5,7,43],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(2,4)=6,(3,5)=7,(6,7)=11,(2,6)=13,(0,2)=15,(3,4)=21,(1,6)=24,(0,5)=31,(0,6)=34,(2,7)=38,(5,7)=43,(2,5)=61,(0,1)=68,(0,4)=70,(3,6)=72,(0,7)=81,(3,7)=81,(4,6)=89]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(5)=1, Add (3,5)=7 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=41\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 6}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 6}, Find(3)=1, Find(4)=2, Add (3,4)=21 Succeeded, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 6}, Find(1)=2, Find(6)=2, Add (1,6)=24 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(5)=2, Add (0,5)=31 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 6}, Find(0)=2, Find(6)=2, Add (0,6)=34 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=38 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=43 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=61 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=70 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=72 Failed, w=77\",\"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)=81 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=81 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=89 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,63],[0,2,81],[0,4,8],[1,2,33],[1,3,0],[3,4,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,81],[0,4,8],[1,2,33],[1,3,0],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,81],[0,4,8],[1,2,33],[1,3,0],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,81],[0,4,8],[1,2,33],[1,3,0],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,4)=8, w=8\",\"Add (3,4)=23, w=31\",\"Add (1,2)=33, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,81],[0,4,8],[1,2,33],[1,3,0],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,4)=8 Succeeded, w=8\",\"Add (3,4)=23 Succeeded, w=31\",\"Add (1,2)=33 Succeeded, w=64\",\"Add (0,1)=63 Failed, w=64\",\"Add (0,2)=81 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,81],[0,4,8],[1,2,33],[1,3,0],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,4)=8,(3,4)=23,(1,2)=33,(0,1)=63,(0,2)=81]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(3)=1, Find(4)=0, Add (3,4)=23 Succeeded, w=31\",\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=64\",\"Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=64\",\"Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,81],[0,4,8],[1,2,33],[1,3,0],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,4)=8,(3,4)=23,(1,2)=33,(0,1)=63,(0,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0}, Find(3)=1, Find(4)=0, Add (3,4)=23 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,6],[0,2,53],[0,3,25],[1,3,31],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,53],[0,3,25],[1,3,31],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,53],[0,3,25],[1,3,31],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,53],[0,3,25],[1,3,31],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (0,3)=25, w=31\",\"Add (2,3)=37, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,53],[0,3,25],[1,3,31],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (0,3)=25 Succeeded, w=31\",\"Add (1,3)=31 Failed, w=31\",\"Add (2,3)=37 Succeeded, w=68\",\"Add (0,2)=53 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,53],[0,3,25],[1,3,31],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,3)=25,(1,3)=31,(2,3)=37,(0,2)=53]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=31\",\"Find(1)=0, Find(3)=0, Add (1,3)=31 Failed, w=31\",\"Find(2)=2, Find(3)=0, Add (2,3)=37 Succeeded, w=68\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,53],[0,3,25],[1,3,31],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,3)=25,(1,3)=31,(2,3)=37,(0,2)=53]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=31 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=37 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,52],[0,3,68],[0,4,23],[0,5,81],[0,6,88],[1,3,43],[1,4,64],[1,6,0],[2,4,19],[2,6,5],[3,4,6],[3,5,27],[3,6,25],[4,5,29],[4,6,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,3,68],[0,4,23],[0,5,81],[0,6,88],[1,3,43],[1,4,64],[1,6,0],[2,4,19],[2,6,5],[3,4,6],[3,5,27],[3,6,25],[4,5,29],[4,6,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,3,68],[0,4,23],[0,5,81],[0,6,88],[1,3,43],[1,4,64],[1,6,0],[2,4,19],[2,6,5],[3,4,6],[3,5,27],[3,6,25],[4,5,29],[4,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,3,68],[0,4,23],[0,5,81],[0,6,88],[1,3,43],[1,4,64],[1,6,0],[2,4,19],[2,6,5],[3,4,6],[3,5,27],[3,6,25],[4,5,29],[4,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0, w=0\",\"Add (2,6)=5, w=5\",\"Add (3,4)=6, w=11\",\"Add (2,4)=19, w=30\",\"Add (0,4)=23, w=53\",\"Add (3,5)=27, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,3,68],[0,4,23],[0,5,81],[0,6,88],[1,3,43],[1,4,64],[1,6,0],[2,4,19],[2,6,5],[3,4,6],[3,5,27],[3,6,25],[4,5,29],[4,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0 Succeeded, w=0\",\"Add (2,6)=5 Succeeded, w=5\",\"Add (3,4)=6 Succeeded, w=11\",\"Add (2,4)=19 Succeeded, w=30\",\"Add (0,4)=23 Succeeded, w=53\",\"Add (3,6)=25 Failed, w=53\",\"Add (3,5)=27 Succeeded, w=80\",\"Add (4,5)=29 Failed, w=80\",\"Add (4,6)=42 Failed, w=80\",\"Add (1,3)=43 Failed, w=80\",\"Add (0,2)=52 Failed, w=80\",\"Add (1,4)=64 Failed, w=80\",\"Add (0,3)=68 Failed, w=80\",\"Add (0,5)=81 Failed, w=80\",\"Add (0,6)=88 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,3,68],[0,4,23],[0,5,81],[0,6,88],[1,3,43],[1,4,64],[1,6,0],[2,4,19],[2,6,5],[3,4,6],[3,5,27],[3,6,25],[4,5,29],[4,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(2,6)=5,(3,4)=6,(2,4)=19,(0,4)=23,(3,6)=25,(3,5)=27,(4,5)=29,(4,6)=42,(1,3)=43,(0,2)=52,(1,4)=64,(0,3)=68,(0,5)=81,(0,6)=88]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=1, Add (2,6)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=11\",\"Find(2)=1, Find(4)=3, Add (2,4)=19 Succeeded, w=30\",\"Find(0)=0, Find(4)=1, Add (0,4)=23 Succeeded, w=53\",\"Find(3)=1, Find(6)=1, Add (3,6)=25 Failed, w=53\",\"Find(3)=1, Find(5)=5, Add (3,5)=27 Succeeded, w=80\",\"Find(4)=1, Find(5)=1, Add (4,5)=29 Failed, w=80\",\"Find(4)=1, Find(6)=1, Add (4,6)=42 Failed, w=80\",\"Find(1)=1, Find(3)=1, Add (1,3)=43 Failed, w=80\",\"Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=80\",\"Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=80\",\"Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=80\",\"Find(0)=1, Find(5)=1, Add (0,5)=81 Failed, w=80\",\"Find(0)=1, Find(6)=1, Add (0,6)=88 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,3,68],[0,4,23],[0,5,81],[0,6,88],[1,3,43],[1,4,64],[1,6,0],[2,4,19],[2,6,5],[3,4,6],[3,5,27],[3,6,25],[4,5,29],[4,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(2,6)=5,(3,4)=6,(2,4)=19,(0,4)=23,(3,6)=25,(3,5)=27,(4,5)=29,(4,6)=42,(1,3)=43,(0,2)=52,(1,4)=64,(0,3)=68,(0,5)=81,(0,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5, 6: 1}, Find(2)=1, Find(4)=3, Add (2,4)=19 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=23 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=25 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=27 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=29 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=42 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=43 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=81 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=88 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,39],[0,4,74],[0,5,47],[1,2,76],[1,3,90],[1,4,57],[1,5,7],[2,4,11],[2,5,76],[3,4,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,39],[0,4,74],[0,5,47],[1,2,76],[1,3,90],[1,4,57],[1,5,7],[2,4,11],[2,5,76],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,39],[0,4,74],[0,5,47],[1,2,76],[1,3,90],[1,4,57],[1,5,7],[2,4,11],[2,5,76],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,39],[0,4,74],[0,5,47],[1,2,76],[1,3,90],[1,4,57],[1,5,7],[2,4,11],[2,5,76],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (2,4)=11, w=18\",\"Add (0,2)=39, w=57\",\"Add (0,1)=41, w=98\",\"Add (3,4)=72, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,39],[0,4,74],[0,5,47],[1,2,76],[1,3,90],[1,4,57],[1,5,7],[2,4,11],[2,5,76],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (2,4)=11 Succeeded, w=18\",\"Add (0,2)=39 Succeeded, w=57\",\"Add (0,1)=41 Succeeded, w=98\",\"Add (0,5)=47 Failed, w=98\",\"Add (1,4)=57 Failed, w=98\",\"Add (3,4)=72 Succeeded, w=170\",\"Add (0,4)=74 Failed, w=170\",\"Add (1,2)=76 Failed, w=170\",\"Add (2,5)=76 Failed, w=170\",\"Add (1,3)=90 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,39],[0,4,74],[0,5,47],[1,2,76],[1,3,90],[1,4,57],[1,5,7],[2,4,11],[2,5,76],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(2,4)=11,(0,2)=39,(0,1)=41,(0,5)=47,(1,4)=57,(3,4)=72,(0,4)=74,(1,2)=76,(2,5)=76,(1,3)=90]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=57\",\"Find(0)=2, Find(1)=1, Add (0,1)=41 Succeeded, w=98\",\"Find(0)=2, Find(5)=2, Add (0,5)=47 Failed, w=98\",\"Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=98\",\"Find(3)=3, Find(4)=2, Add (3,4)=72 Succeeded, w=170\",\"Find(0)=2, Find(4)=2, Add (0,4)=74 Failed, w=170\",\"Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=170\",\"Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=170\",\"Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,39],[0,4,74],[0,5,47],[1,2,76],[1,3,90],[1,4,57],[1,5,7],[2,4,11],[2,5,76],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(2,4)=11,(0,2)=39,(0,1)=41,(0,5)=47,(1,4)=57,(3,4)=72,(0,4)=74,(1,2)=76,(2,5)=76,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1}, Find(0)=2, Find(1)=1, Add (0,1)=41 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=47 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=72 Succeeded, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=74 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,54],[0,3,68],[0,4,39],[0,5,23],[1,2,81],[1,6,45],[2,6,15],[2,7,64],[3,4,30],[3,6,99],[4,6,44],[4,7,35],[5,6,53],[5,7,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,3,68],[0,4,39],[0,5,23],[1,2,81],[1,6,45],[2,6,15],[2,7,64],[3,4,30],[3,6,99],[4,6,44],[4,7,35],[5,6,53],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,3,68],[0,4,39],[0,5,23],[1,2,81],[1,6,45],[2,6,15],[2,7,64],[3,4,30],[3,6,99],[4,6,44],[4,7,35],[5,6,53],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (4,7)\",\"Add (4,6)\",\"Add (1,6)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,3,68],[0,4,39],[0,5,23],[1,2,81],[1,6,45],[2,6,15],[2,7,64],[3,4,30],[3,6,99],[4,6,44],[4,7,35],[5,6,53],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6, w=6\",\"Add (2,6)=15, w=21\",\"Add (0,5)=23, w=44\",\"Add (3,4)=30, w=74\",\"Add (4,7)=35, w=109\",\"Add (4,6)=44, w=153\",\"Add (1,6)=45, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,3,68],[0,4,39],[0,5,23],[1,2,81],[1,6,45],[2,6,15],[2,7,64],[3,4,30],[3,6,99],[4,6,44],[4,7,35],[5,6,53],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6 Succeeded, w=6\",\"Add (2,6)=15 Succeeded, w=21\",\"Add (0,5)=23 Succeeded, w=44\",\"Add (3,4)=30 Succeeded, w=74\",\"Add (4,7)=35 Succeeded, w=109\",\"Add (0,4)=39 Failed, w=109\",\"Add (4,6)=44 Succeeded, w=153\",\"Add (1,6)=45 Succeeded, w=198\",\"Add (5,6)=53 Failed, w=198\",\"Add (0,1)=54 Failed, w=198\",\"Add (2,7)=64 Failed, w=198\",\"Add (0,3)=68 Failed, w=198\",\"Add (1,2)=81 Failed, w=198\",\"Add (3,6)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,3,68],[0,4,39],[0,5,23],[1,2,81],[1,6,45],[2,6,15],[2,7,64],[3,4,30],[3,6,99],[4,6,44],[4,7,35],[5,6,53],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(2,6)=15,(0,5)=23,(3,4)=30,(4,7)=35,(0,4)=39,(4,6)=44,(1,6)=45,(5,6)=53,(0,1)=54,(2,7)=64,(0,3)=68,(1,2)=81,(3,6)=99]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=21\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=44\",\"Find(3)=3, Find(4)=4, Add (3,4)=30 Succeeded, w=74\",\"Find(4)=3, Find(7)=5, Add (4,7)=35 Succeeded, w=109\",\"Find(0)=3, Find(4)=3, Add (0,4)=39 Failed, w=109\",\"Find(4)=3, Find(6)=2, Add (4,6)=44 Succeeded, w=153\",\"Find(1)=1, Find(6)=3, Add (1,6)=45 Succeeded, w=198\",\"Find(5)=3, Find(6)=3, Add (5,6)=53 Failed, w=198\",\"Find(0)=3, Find(1)=3, Add (0,1)=54 Failed, w=198\",\"Find(2)=3, Find(7)=3, Add (2,7)=64 Failed, w=198\",\"Find(0)=3, Find(3)=3, Add (0,3)=68 Failed, w=198\",\"Find(1)=3, Find(2)=3, Add (1,2)=81 Failed, w=198\",\"Find(3)=3, Find(6)=3, Add (3,6)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,3,68],[0,4,39],[0,5,23],[1,2,81],[1,6,45],[2,6,15],[2,7,64],[3,4,30],[3,6,99],[4,6,44],[4,7,35],[5,6,53],[5,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(2,6)=15,(0,5)=23,(3,4)=30,(4,7)=35,(0,4)=39,(4,6)=44,(1,6)=45,(5,6)=53,(0,1)=54,(2,7)=64,(0,3)=68,(1,2)=81,(3,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 5}, Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=21\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=44\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2, 7: 5}, Find(3)=3, Find(4)=4, Add (3,4)=30 Succeeded, w=74\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2, 7: 5}, Find(4)=3, Find(7)=5, Add (4,7)=35 Succeeded, w=109\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2, 7: 5}, Find(0)=3, Find(4)=3, Add (0,4)=39 Failed, w=109\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 5}, Find(4)=3, Find(6)=2, Add (4,6)=44 Succeeded, w=153\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(1)=1, Find(6)=3, Add (1,6)=45 Succeeded, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(5)=3, Find(6)=3, Add (5,6)=53 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(0)=3, Find(1)=3, Add (0,1)=54 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=64 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=68 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=81 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,40],[0,4,49],[0,5,13],[0,7,26],[1,2,17],[1,3,57],[1,4,58],[1,5,48],[1,6,73],[1,7,83],[2,4,83],[2,5,43],[2,6,99],[2,7,75],[3,4,13],[3,5,59],[3,6,28],[3,7,40],[4,5,89],[5,6,99],[6,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,4,49],[0,5,13],[0,7,26],[1,2,17],[1,3,57],[1,4,58],[1,5,48],[1,6,73],[1,7,83],[2,4,83],[2,5,43],[2,6,99],[2,7,75],[3,4,13],[3,5,59],[3,6,28],[3,7,40],[4,5,89],[5,6,99],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,4,49],[0,5,13],[0,7,26],[1,2,17],[1,3,57],[1,4,58],[1,5,48],[1,6,73],[1,7,83],[2,4,83],[2,5,43],[2,6,99],[2,7,75],[3,4,13],[3,5,59],[3,6,28],[3,7,40],[4,5,89],[5,6,99],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,7)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (3,7)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,4,49],[0,5,13],[0,7,26],[1,2,17],[1,3,57],[1,4,58],[1,5,48],[1,6,73],[1,7,83],[2,4,83],[2,5,43],[2,6,99],[2,7,75],[3,4,13],[3,5,59],[3,6,28],[3,7,40],[4,5,89],[5,6,99],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=13, w=13\",\"Add (3,4)=13, w=26\",\"Add (1,2)=17, w=43\",\"Add (0,7)=26, w=69\",\"Add (3,6)=28, w=97\",\"Add (0,2)=40, w=137\",\"Add (3,7)=40, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,4,49],[0,5,13],[0,7,26],[1,2,17],[1,3,57],[1,4,58],[1,5,48],[1,6,73],[1,7,83],[2,4,83],[2,5,43],[2,6,99],[2,7,75],[3,4,13],[3,5,59],[3,6,28],[3,7,40],[4,5,89],[5,6,99],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=13 Succeeded, w=13\",\"Add (3,4)=13 Succeeded, w=26\",\"Add (1,2)=17 Succeeded, w=43\",\"Add (0,7)=26 Succeeded, w=69\",\"Add (3,6)=28 Succeeded, w=97\",\"Add (0,2)=40 Succeeded, w=137\",\"Add (3,7)=40 Succeeded, w=177\",\"Add (2,5)=43 Failed, w=177\",\"Add (1,5)=48 Failed, w=177\",\"Add (0,4)=49 Failed, w=177\",\"Add (1,3)=57 Failed, w=177\",\"Add (1,4)=58 Failed, w=177\",\"Add (3,5)=59 Failed, w=177\",\"Add (1,6)=73 Failed, w=177\",\"Add (2,7)=75 Failed, w=177\",\"Add (6,7)=77 Failed, w=177\",\"Add (1,7)=83 Failed, w=177\",\"Add (2,4)=83 Failed, w=177\",\"Add (4,5)=89 Failed, w=177\",\"Add (2,6)=99 Failed, w=177\",\"Add (5,6)=99 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,4,49],[0,5,13],[0,7,26],[1,2,17],[1,3,57],[1,4,58],[1,5,48],[1,6,73],[1,7,83],[2,4,83],[2,5,43],[2,6,99],[2,7,75],[3,4,13],[3,5,59],[3,6,28],[3,7,40],[4,5,89],[5,6,99],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=13,(3,4)=13,(1,2)=17,(0,7)=26,(3,6)=28,(0,2)=40,(3,7)=40,(2,5)=43,(1,5)=48,(0,4)=49,(1,3)=57,(1,4)=58,(3,5)=59,(1,6)=73,(2,7)=75,(6,7)=77,(1,7)=83,(2,4)=83,(4,5)=89,(2,6)=99,(5,6)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=13\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=43\",\"Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=69\",\"Find(3)=3, Find(6)=6, Add (3,6)=28 Succeeded, w=97\",\"Find(0)=0, Find(2)=1, Add (0,2)=40 Succeeded, w=137\",\"Find(3)=3, Find(7)=0, Add (3,7)=40 Succeeded, w=177\",\"Find(2)=0, Find(5)=0, Add (2,5)=43 Failed, w=177\",\"Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=177\",\"Find(0)=0, Find(4)=0, Add (0,4)=49 Failed, w=177\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=177\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=177\",\"Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=177\",\"Find(1)=0, Find(6)=0, Add (1,6)=73 Failed, w=177\",\"Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=177\",\"Find(6)=0, Find(7)=0, Add (6,7)=77 Failed, w=177\",\"Find(1)=0, Find(7)=0, Add (1,7)=83 Failed, w=177\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=177\",\"Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=177\",\"Find(2)=0, Find(6)=0, Add (2,6)=99 Failed, w=177\",\"Find(5)=0, Find(6)=0, Add (5,6)=99 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,4,49],[0,5,13],[0,7,26],[1,2,17],[1,3,57],[1,4,58],[1,5,48],[1,6,73],[1,7,83],[2,4,83],[2,5,43],[2,6,99],[2,7,75],[3,4,13],[3,5,59],[3,6,28],[3,7,40],[4,5,89],[5,6,99],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=13,(3,4)=13,(1,2)=17,(0,7)=26,(3,6)=28,(0,2)=40,(3,7)=40,(2,5)=43,(1,5)=48,(0,4)=49,(1,3)=57,(1,4)=58,(3,5)=59,(1,6)=73,(2,7)=75,(6,7)=77,(1,7)=83,(2,4)=83,(4,5)=89,(2,6)=99,(5,6)=99]\",\"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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=28 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 3, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(2)=1, Add (0,2)=40 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 3, 5: 0, 6: 3, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=40 Succeeded, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 3, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=43 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=49 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=177\",\"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)=73 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=177\",\"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)=77 Failed, w=177\",\"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)=83 Failed, w=177\",\"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)=83 Failed, w=177\",\"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)=89 Failed, w=177\",\"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)=99 Failed, w=177\",\"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)=99 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,17],[0,3,33],[0,4,98],[0,5,29],[0,6,58],[1,2,29],[1,4,48],[1,5,74],[1,6,4],[2,4,17],[3,4,9],[3,5,62],[3,6,97],[4,5,49],[4,6,75],[5,6,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,3,33],[0,4,98],[0,5,29],[0,6,58],[1,2,29],[1,4,48],[1,5,74],[1,6,4],[2,4,17],[3,4,9],[3,5,62],[3,6,97],[4,5,49],[4,6,75],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,3,33],[0,4,98],[0,5,29],[0,6,58],[1,2,29],[1,4,48],[1,5,74],[1,6,4],[2,4,17],[3,4,9],[3,5,62],[3,6,97],[4,5,49],[4,6,75],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,3,33],[0,4,98],[0,5,29],[0,6,58],[1,2,29],[1,4,48],[1,5,74],[1,6,4],[2,4,17],[3,4,9],[3,5,62],[3,6,97],[4,5,49],[4,6,75],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (3,4)=9, w=13\",\"Add (5,6)=9, w=22\",\"Add (0,1)=17, w=39\",\"Add (2,4)=17, w=56\",\"Add (1,2)=29, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,3,33],[0,4,98],[0,5,29],[0,6,58],[1,2,29],[1,4,48],[1,5,74],[1,6,4],[2,4,17],[3,4,9],[3,5,62],[3,6,97],[4,5,49],[4,6,75],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (3,4)=9 Succeeded, w=13\",\"Add (5,6)=9 Succeeded, w=22\",\"Add (0,1)=17 Succeeded, w=39\",\"Add (2,4)=17 Succeeded, w=56\",\"Add (0,5)=29 Failed, w=56\",\"Add (1,2)=29 Succeeded, w=85\",\"Add (0,3)=33 Failed, w=85\",\"Add (1,4)=48 Failed, w=85\",\"Add (4,5)=49 Failed, w=85\",\"Add (0,6)=58 Failed, w=85\",\"Add (3,5)=62 Failed, w=85\",\"Add (1,5)=74 Failed, w=85\",\"Add (4,6)=75 Failed, w=85\",\"Add (3,6)=97 Failed, w=85\",\"Add (0,4)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,3,33],[0,4,98],[0,5,29],[0,6,58],[1,2,29],[1,4,48],[1,5,74],[1,6,4],[2,4,17],[3,4,9],[3,5,62],[3,6,97],[4,5,49],[4,6,75],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(3,4)=9,(5,6)=9,(0,1)=17,(2,4)=17,(0,5)=29,(1,2)=29,(0,3)=33,(1,4)=48,(4,5)=49,(0,6)=58,(3,5)=62,(1,5)=74,(4,6)=75,(3,6)=97,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=13\",\"Find(5)=5, Find(6)=1, Add (5,6)=9 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=39\",\"Find(2)=2, Find(4)=3, Add (2,4)=17 Succeeded, w=56\",\"Find(0)=1, Find(5)=1, Add (0,5)=29 Failed, w=56\",\"Find(1)=1, Find(2)=3, Add (1,2)=29 Succeeded, w=85\",\"Find(0)=1, Find(3)=1, Add (0,3)=33 Failed, w=85\",\"Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=85\",\"Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=85\",\"Find(0)=1, Find(6)=1, Add (0,6)=58 Failed, w=85\",\"Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=85\",\"Find(1)=1, Find(5)=1, Add (1,5)=74 Failed, w=85\",\"Find(4)=1, Find(6)=1, Add (4,6)=75 Failed, w=85\",\"Find(3)=1, Find(6)=1, Add (3,6)=97 Failed, w=85\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,3,33],[0,4,98],[0,5,29],[0,6,58],[1,2,29],[1,4,48],[1,5,74],[1,6,4],[2,4,17],[3,4,9],[3,5,62],[3,6,97],[4,5,49],[4,6,75],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(3,4)=9,(5,6)=9,(0,1)=17,(2,4)=17,(0,5)=29,(1,2)=29,(0,3)=33,(1,4)=48,(4,5)=49,(0,6)=58,(3,5)=62,(1,5)=74,(4,6)=75,(3,6)=97,(0,4)=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: 3, 4: 3, 5: 5, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=9 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1}, Find(2)=2, Find(4)=3, Add (2,4)=17 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=29 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1, 6: 1}, Find(1)=1, Find(2)=3, Add (1,2)=29 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 3, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=33 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=58 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=74 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=75 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=97 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,97],[0,3,9],[0,4,67],[1,2,83],[1,3,96],[1,4,31],[2,3,28],[2,4,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,97],[0,3,9],[0,4,67],[1,2,83],[1,3,96],[1,4,31],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,97],[0,3,9],[0,4,67],[1,2,83],[1,3,96],[1,4,31],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,97],[0,3,9],[0,4,67],[1,2,83],[1,3,96],[1,4,31],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (2,3)=28, w=37\",\"Add (1,4)=31, w=68\",\"Add (2,4)=47, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,97],[0,3,9],[0,4,67],[1,2,83],[1,3,96],[1,4,31],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (2,3)=28 Succeeded, w=37\",\"Add (1,4)=31 Succeeded, w=68\",\"Add (2,4)=47 Succeeded, w=115\",\"Add (0,4)=67 Failed, w=115\",\"Add (0,1)=80 Failed, w=115\",\"Add (1,2)=83 Failed, w=115\",\"Add (1,3)=96 Failed, w=115\",\"Add (0,2)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,97],[0,3,9],[0,4,67],[1,2,83],[1,3,96],[1,4,31],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(2,3)=28,(1,4)=31,(2,4)=47,(0,4)=67,(0,1)=80,(1,2)=83,(1,3)=96,(0,2)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=0, Add (2,3)=28 Succeeded, w=37\",\"Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=68\",\"Find(2)=0, Find(4)=1, Add (2,4)=47 Succeeded, w=115\",\"Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=115\",\"Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,97],[0,3,9],[0,4,67],[1,2,83],[1,3,96],[1,4,31],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(2,3)=28,(1,4)=31,(2,4)=47,(0,4)=67,(0,1)=80,(1,2)=83,(1,3)=96,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=28 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(4)=1, Add (2,4)=47 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,96],[0,4,26],[1,2,4],[1,3,18],[1,4,50],[1,5,58],[2,4,65],[2,5,78],[3,4,45],[3,5,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,96],[0,4,26],[1,2,4],[1,3,18],[1,4,50],[1,5,58],[2,4,65],[2,5,78],[3,4,45],[3,5,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,96],[0,4,26],[1,2,4],[1,3,18],[1,4,50],[1,5,58],[2,4,65],[2,5,78],[3,4,45],[3,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,96],[0,4,26],[1,2,4],[1,3,18],[1,4,50],[1,5,58],[2,4,65],[2,5,78],[3,4,45],[3,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,1)=13, w=17\",\"Add (1,3)=18, w=35\",\"Add (0,4)=26, w=61\",\"Add (1,5)=58, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,96],[0,4,26],[1,2,4],[1,3,18],[1,4,50],[1,5,58],[2,4,65],[2,5,78],[3,4,45],[3,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,1)=13 Succeeded, w=17\",\"Add (1,3)=18 Succeeded, w=35\",\"Add (0,4)=26 Succeeded, w=61\",\"Add (3,4)=45 Failed, w=61\",\"Add (1,4)=50 Failed, w=61\",\"Add (1,5)=58 Succeeded, w=119\",\"Add (2,4)=65 Failed, w=119\",\"Add (3,5)=69 Failed, w=119\",\"Add (2,5)=78 Failed, w=119\",\"Add (0,2)=96 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,96],[0,4,26],[1,2,4],[1,3,18],[1,4,50],[1,5,58],[2,4,65],[2,5,78],[3,4,45],[3,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,1)=13,(1,3)=18,(0,4)=26,(3,4)=45,(1,4)=50,(1,5)=58,(2,4)=65,(3,5)=69,(2,5)=78,(0,2)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=35\",\"Find(0)=1, Find(4)=4, Add (0,4)=26 Succeeded, w=61\",\"Find(3)=1, Find(4)=1, Add (3,4)=45 Failed, w=61\",\"Find(1)=1, Find(4)=1, Add (1,4)=50 Failed, w=61\",\"Find(1)=1, Find(5)=5, Add (1,5)=58 Succeeded, w=119\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=119\",\"Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=119\",\"Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=119\",\"Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,96],[0,4,26],[1,2,4],[1,3,18],[1,4,50],[1,5,58],[2,4,65],[2,5,78],[3,4,45],[3,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,1)=13,(1,3)=18,(0,4)=26,(3,4)=45,(1,4)=50,(1,5)=58,(2,4)=65,(3,5)=69,(2,5)=78,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(4)=4, Add (0,4)=26 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=1, Add (3,4)=45 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=1, Add (1,4)=50 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=58 Succeeded, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,15],[0,3,50],[0,4,29],[0,5,82],[0,6,52],[0,7,60],[1,2,72],[1,3,61],[1,4,40],[1,5,48],[1,6,43],[1,7,2],[2,3,86],[2,4,40],[2,5,73],[2,6,15],[2,7,8],[3,4,67],[3,6,64],[3,7,40],[4,5,32],[4,7,30],[5,6,22],[5,7,2],[6,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,15],[0,3,50],[0,4,29],[0,5,82],[0,6,52],[0,7,60],[1,2,72],[1,3,61],[1,4,40],[1,5,48],[1,6,43],[1,7,2],[2,3,86],[2,4,40],[2,5,73],[2,6,15],[2,7,8],[3,4,67],[3,6,64],[3,7,40],[4,5,32],[4,7,30],[5,6,22],[5,7,2],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,15],[0,3,50],[0,4,29],[0,5,82],[0,6,52],[0,7,60],[1,2,72],[1,3,61],[1,4,40],[1,5,48],[1,6,43],[1,7,2],[2,3,86],[2,4,40],[2,5,73],[2,6,15],[2,7,8],[3,4,67],[3,6,64],[3,7,40],[4,5,32],[4,7,30],[5,6,22],[5,7,2],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (5,7)\",\"Add (0,1)\",\"Add (2,7)\",\"Add (2,6)\",\"Add (0,4)\",\"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\":[[0,1,4],[0,2,15],[0,3,50],[0,4,29],[0,5,82],[0,6,52],[0,7,60],[1,2,72],[1,3,61],[1,4,40],[1,5,48],[1,6,43],[1,7,2],[2,3,86],[2,4,40],[2,5,73],[2,6,15],[2,7,8],[3,4,67],[3,6,64],[3,7,40],[4,5,32],[4,7,30],[5,6,22],[5,7,2],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2, w=2\",\"Add (5,7)=2, w=4\",\"Add (0,1)=4, w=8\",\"Add (2,7)=8, w=16\",\"Add (2,6)=15, w=31\",\"Add (0,4)=29, w=60\",\"Add (3,7)=40, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,15],[0,3,50],[0,4,29],[0,5,82],[0,6,52],[0,7,60],[1,2,72],[1,3,61],[1,4,40],[1,5,48],[1,6,43],[1,7,2],[2,3,86],[2,4,40],[2,5,73],[2,6,15],[2,7,8],[3,4,67],[3,6,64],[3,7,40],[4,5,32],[4,7,30],[5,6,22],[5,7,2],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2 Succeeded, w=2\",\"Add (5,7)=2 Succeeded, w=4\",\"Add (0,1)=4 Succeeded, w=8\",\"Add (2,7)=8 Succeeded, w=16\",\"Add (0,2)=15 Failed, w=16\",\"Add (2,6)=15 Succeeded, w=31\",\"Add (5,6)=22 Failed, w=31\",\"Add (0,4)=29 Succeeded, w=60\",\"Add (4,7)=30 Failed, w=60\",\"Add (4,5)=32 Failed, w=60\",\"Add (1,4)=40 Failed, w=60\",\"Add (2,4)=40 Failed, w=60\",\"Add (3,7)=40 Succeeded, w=100\",\"Add (1,6)=43 Failed, w=100\",\"Add (1,5)=48 Failed, w=100\",\"Add (0,3)=50 Failed, w=100\",\"Add (0,6)=52 Failed, w=100\",\"Add (0,7)=60 Failed, w=100\",\"Add (1,3)=61 Failed, w=100\",\"Add (3,6)=64 Failed, w=100\",\"Add (3,4)=67 Failed, w=100\",\"Add (1,2)=72 Failed, w=100\",\"Add (2,5)=73 Failed, w=100\",\"Add (0,5)=82 Failed, w=100\",\"Add (2,3)=86 Failed, w=100\",\"Add (6,7)=88 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,15],[0,3,50],[0,4,29],[0,5,82],[0,6,52],[0,7,60],[1,2,72],[1,3,61],[1,4,40],[1,5,48],[1,6,43],[1,7,2],[2,3,86],[2,4,40],[2,5,73],[2,6,15],[2,7,8],[3,4,67],[3,6,64],[3,7,40],[4,5,32],[4,7,30],[5,6,22],[5,7,2],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(5,7)=2,(0,1)=4,(2,7)=8,(0,2)=15,(2,6)=15,(5,6)=22,(0,4)=29,(4,7)=30,(4,5)=32,(1,4)=40,(2,4)=40,(3,7)=40,(1,6)=43,(1,5)=48,(0,3)=50,(0,6)=52,(0,7)=60,(1,3)=61,(3,6)=64,(3,4)=67,(1,2)=72,(2,5)=73,(0,5)=82,(2,3)=86,(6,7)=88]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Find(5)=5, Find(7)=1, Add (5,7)=2 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=8\",\"Find(2)=2, Find(7)=1, Add (2,7)=8 Succeeded, w=16\",\"Find(0)=1, Find(2)=1, Add (0,2)=15 Failed, w=16\",\"Find(2)=1, Find(6)=6, Add (2,6)=15 Succeeded, w=31\",\"Find(5)=1, Find(6)=1, Add (5,6)=22 Failed, w=31\",\"Find(0)=1, Find(4)=4, Add (0,4)=29 Succeeded, w=60\",\"Find(4)=1, Find(7)=1, Add (4,7)=30 Failed, w=60\",\"Find(4)=1, Find(5)=1, Add (4,5)=32 Failed, w=60\",\"Find(1)=1, Find(4)=1, Add (1,4)=40 Failed, w=60\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=60\",\"Find(3)=3, Find(7)=1, Add (3,7)=40 Succeeded, w=100\",\"Find(1)=1, Find(6)=1, Add (1,6)=43 Failed, w=100\",\"Find(1)=1, Find(5)=1, Add (1,5)=48 Failed, w=100\",\"Find(0)=1, Find(3)=1, Add (0,3)=50 Failed, w=100\",\"Find(0)=1, Find(6)=1, Add (0,6)=52 Failed, w=100\",\"Find(0)=1, Find(7)=1, Add (0,7)=60 Failed, w=100\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=100\",\"Find(3)=1, Find(6)=1, Add (3,6)=64 Failed, w=100\",\"Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=100\",\"Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=100\",\"Find(2)=1, Find(5)=1, Add (2,5)=73 Failed, w=100\",\"Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=100\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=100\",\"Find(6)=1, Find(7)=1, Add (6,7)=88 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,15],[0,3,50],[0,4,29],[0,5,82],[0,6,52],[0,7,60],[1,2,72],[1,3,61],[1,4,40],[1,5,48],[1,6,43],[1,7,2],[2,3,86],[2,4,40],[2,5,73],[2,6,15],[2,7,8],[3,4,67],[3,6,64],[3,7,40],[4,5,32],[4,7,30],[5,6,22],[5,7,2],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(5,7)=2,(0,1)=4,(2,7)=8,(0,2)=15,(2,6)=15,(5,6)=22,(0,4)=29,(4,7)=30,(4,5)=32,(1,4)=40,(2,4)=40,(3,7)=40,(1,6)=43,(1,5)=48,(0,3)=50,(0,6)=52,(0,7)=60,(1,3)=61,(3,6)=64,(3,4)=67,(1,2)=72,(2,5)=73,(0,5)=82,(2,3)=86,(6,7)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=2 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=8 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=15 Failed, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=15 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=22 Failed, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=4, Add (0,4)=29 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=30 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=32 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=40 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=40 Succeeded, w=100\",\"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)=43 Failed, w=100\",\"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)=48 Failed, w=100\",\"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)=50 Failed, w=100\",\"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)=52 Failed, w=100\",\"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)=60 Failed, w=100\",\"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)=61 Failed, w=100\",\"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)=64 Failed, w=100\",\"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)=67 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=100\",\"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)=73 Failed, w=100\",\"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)=82 Failed, w=100\",\"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)=86 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=88 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,2,56],[0,6,3],[1,2,8],[1,5,83],[1,6,19],[2,3,40],[2,4,91],[2,5,27],[2,6,35],[4,6,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,56],[0,6,3],[1,2,8],[1,5,83],[1,6,19],[2,3,40],[2,4,91],[2,5,27],[2,6,35],[4,6,97]]}",
"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],\"edges\":[[0,1,27],[0,2,56],[0,6,3],[1,2,8],[1,5,83],[1,6,19],[2,3,40],[2,4,91],[2,5,27],[2,6,35],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":188}",
"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],[0,2,56],[0,6,3],[1,2,8],[1,5,83],[1,6,19],[2,3,40],[2,4,91],[2,5,27],[2,6,35],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=3, w=3\",\"Add (1,2)=8, w=11\",\"Add (1,6)=19, w=30\",\"Add (2,5)=27, w=57\",\"Add (2,3)=40, w=97\",\"Add (2,4)=91, 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],\"edges\":[[0,1,27],[0,2,56],[0,6,3],[1,2,8],[1,5,83],[1,6,19],[2,3,40],[2,4,91],[2,5,27],[2,6,35],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=3 Succeeded, w=3\",\"Add (1,2)=8 Succeeded, w=11\",\"Add (1,6)=19 Succeeded, w=30\",\"Add (0,1)=27 Failed, w=30\",\"Add (2,5)=27 Succeeded, w=57\",\"Add (2,6)=35 Failed, w=57\",\"Add (2,3)=40 Succeeded, w=97\",\"Add (0,2)=56 Failed, w=97\",\"Add (1,5)=83 Failed, w=97\",\"Add (2,4)=91 Succeeded, w=188\",\"Add (4,6)=97 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],\"edges\":[[0,1,27],[0,2,56],[0,6,3],[1,2,8],[1,5,83],[1,6,19],[2,3,40],[2,4,91],[2,5,27],[2,6,35],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=3,(1,2)=8,(1,6)=19,(0,1)=27,(2,5)=27,(2,6)=35,(2,3)=40,(0,2)=56,(1,5)=83,(2,4)=91,(4,6)=97]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=11\",\"Find(1)=1, Find(6)=0, Add (1,6)=19 Succeeded, w=30\",\"Find(0)=1, Find(1)=1, Add (0,1)=27 Failed, w=30\",\"Find(2)=1, Find(5)=5, Add (2,5)=27 Succeeded, w=57\",\"Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=57\",\"Find(2)=1, Find(3)=3, Add (2,3)=40 Succeeded, w=97\",\"Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=97\",\"Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=97\",\"Find(2)=1, Find(4)=4, Add (2,4)=91 Succeeded, w=188\",\"Find(4)=1, Find(6)=1, Add (4,6)=97 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],\"edges\":[[0,1,27],[0,2,56],[0,6,3],[1,2,8],[1,5,83],[1,6,19],[2,3,40],[2,4,91],[2,5,27],[2,6,35],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=3,(1,2)=8,(1,6)=19,(0,1)=27,(2,5)=27,(2,6)=35,(2,3)=40,(0,2)=56,(1,5)=83,(2,4)=91,(4,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=19 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=1, Find(1)=1, Add (0,1)=27 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 0}, Find(2)=1, Find(5)=5, Add (2,5)=27 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=40 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=91 Succeeded, w=188\",\"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=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,63],[0,2,51],[1,2,86],[2,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,51],[1,2,86],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,51],[1,2,86],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,51],[1,2,86],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=51, w=51\",\"Add (2,3)=60, w=111\",\"Add (0,1)=63, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,51],[1,2,86],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=51 Succeeded, w=51\",\"Add (2,3)=60 Succeeded, w=111\",\"Add (0,1)=63 Succeeded, w=174\",\"Add (1,2)=86 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,51],[1,2,86],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=51,(2,3)=60,(0,1)=63,(1,2)=86]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=51\",\"Find(2)=0, Find(3)=3, Add (2,3)=60 Succeeded, w=111\",\"Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,51],[1,2,86],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=51,(2,3)=60,(0,1)=63,(1,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=60 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,45],[0,3,23],[0,4,99],[1,2,82],[1,3,100],[2,3,95],[2,4,63],[3,4,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,23],[0,4,99],[1,2,82],[1,3,100],[2,3,95],[2,4,63],[3,4,10]]}",
"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\":[[0,1,45],[0,3,23],[0,4,99],[1,2,82],[1,3,100],[2,3,95],[2,4,63],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,23],[0,4,99],[1,2,82],[1,3,100],[2,3,95],[2,4,63],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10, w=10\",\"Add (0,3)=23, w=33\",\"Add (0,1)=45, w=78\",\"Add (2,4)=63, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,23],[0,4,99],[1,2,82],[1,3,100],[2,3,95],[2,4,63],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10 Succeeded, w=10\",\"Add (0,3)=23 Succeeded, w=33\",\"Add (0,1)=45 Succeeded, w=78\",\"Add (2,4)=63 Succeeded, w=141\",\"Add (1,2)=82 Failed, w=141\",\"Add (2,3)=95 Failed, w=141\",\"Add (0,4)=99 Failed, w=141\",\"Add (1,3)=100 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\":[[0,1,45],[0,3,23],[0,4,99],[1,2,82],[1,3,100],[2,3,95],[2,4,63],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(0,3)=23,(0,1)=45,(2,4)=63,(1,2)=82,(2,3)=95,(0,4)=99,(1,3)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=33\",\"Find(0)=3, Find(1)=1, Add (0,1)=45 Succeeded, w=78\",\"Find(2)=2, Find(4)=3, Add (2,4)=63 Succeeded, w=141\",\"Find(1)=3, Find(2)=3, Add (1,2)=82 Failed, w=141\",\"Find(2)=3, Find(3)=3, Add (2,3)=95 Failed, w=141\",\"Find(0)=3, Find(4)=3, Add (0,4)=99 Failed, w=141\",\"Find(1)=3, Find(3)=3, Add (1,3)=100 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\":[[0,1,45],[0,3,23],[0,4,99],[1,2,82],[1,3,100],[2,3,95],[2,4,63],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(0,3)=23,(0,1)=45,(2,4)=63,(1,2)=82,(2,3)=95,(0,4)=99,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=33\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=45 Succeeded, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=63 Succeeded, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=82 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=95 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=99 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,22],[0,2,19],[0,3,60],[1,2,2],[1,3,33],[2,3,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,19],[0,3,60],[1,2,2],[1,3,33],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,19],[0,3,60],[1,2,2],[1,3,33],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,19],[0,3,60],[1,2,2],[1,3,33],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (2,3)=4, w=6\",\"Add (0,2)=19, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,19],[0,3,60],[1,2,2],[1,3,33],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (2,3)=4 Succeeded, w=6\",\"Add (0,2)=19 Succeeded, w=25\",\"Add (0,1)=22 Failed, w=25\",\"Add (1,3)=33 Failed, w=25\",\"Add (0,3)=60 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,19],[0,3,60],[1,2,2],[1,3,33],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(2,3)=4,(0,2)=19,(0,1)=22,(1,3)=33,(0,3)=60]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(2)=1, Find(3)=3, Add (2,3)=4 Succeeded, w=6\",\"Find(0)=0, Find(2)=1, Add (0,2)=19 Succeeded, w=25\",\"Find(0)=1, Find(1)=1, Add (0,1)=22 Failed, w=25\",\"Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=25\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,2,19],[0,3,60],[1,2,2],[1,3,33],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(2,3)=4,(0,2)=19,(0,1)=22,(1,3)=33,(0,3)=60]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=4 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=19 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=22 Failed, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,93],[0,2,62],[0,3,44],[0,4,14],[0,5,7],[0,6,82],[0,7,60],[1,2,56],[1,3,31],[1,4,37],[1,5,37],[1,6,3],[1,7,72],[2,3,60],[2,4,48],[2,5,3],[2,6,94],[2,7,84],[3,4,35],[3,5,42],[3,6,67],[3,7,11],[4,5,79],[4,6,28],[4,7,84],[5,6,95],[5,7,83],[6,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,62],[0,3,44],[0,4,14],[0,5,7],[0,6,82],[0,7,60],[1,2,56],[1,3,31],[1,4,37],[1,5,37],[1,6,3],[1,7,72],[2,3,60],[2,4,48],[2,5,3],[2,6,94],[2,7,84],[3,4,35],[3,5,42],[3,6,67],[3,7,11],[4,5,79],[4,6,28],[4,7,84],[5,6,95],[5,7,83],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,62],[0,3,44],[0,4,14],[0,5,7],[0,6,82],[0,7,60],[1,2,56],[1,3,31],[1,4,37],[1,5,37],[1,6,3],[1,7,72],[2,3,60],[2,4,48],[2,5,3],[2,6,94],[2,7,84],[3,4,35],[3,5,42],[3,6,67],[3,7,11],[4,5,79],[4,6,28],[4,7,84],[5,6,95],[5,7,83],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (3,7)\",\"Add (0,4)\",\"Add (4,6)\",\"Add (1,3)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,62],[0,3,44],[0,4,14],[0,5,7],[0,6,82],[0,7,60],[1,2,56],[1,3,31],[1,4,37],[1,5,37],[1,6,3],[1,7,72],[2,3,60],[2,4,48],[2,5,3],[2,6,94],[2,7,84],[3,4,35],[3,5,42],[3,6,67],[3,7,11],[4,5,79],[4,6,28],[4,7,84],[5,6,95],[5,7,83],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=3, w=3\",\"Add (2,5)=3, w=6\",\"Add (0,5)=7, w=13\",\"Add (3,7)=11, w=24\",\"Add (0,4)=14, w=38\",\"Add (4,6)=28, w=66\",\"Add (1,3)=31, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,62],[0,3,44],[0,4,14],[0,5,7],[0,6,82],[0,7,60],[1,2,56],[1,3,31],[1,4,37],[1,5,37],[1,6,3],[1,7,72],[2,3,60],[2,4,48],[2,5,3],[2,6,94],[2,7,84],[3,4,35],[3,5,42],[3,6,67],[3,7,11],[4,5,79],[4,6,28],[4,7,84],[5,6,95],[5,7,83],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=3 Succeeded, w=3\",\"Add (2,5)=3 Succeeded, w=6\",\"Add (0,5)=7 Succeeded, w=13\",\"Add (3,7)=11 Succeeded, w=24\",\"Add (0,4)=14 Succeeded, w=38\",\"Add (4,6)=28 Succeeded, w=66\",\"Add (1,3)=31 Succeeded, w=97\",\"Add (3,4)=35 Failed, w=97\",\"Add (1,4)=37 Failed, w=97\",\"Add (1,5)=37 Failed, w=97\",\"Add (3,5)=42 Failed, w=97\",\"Add (0,3)=44 Failed, w=97\",\"Add (2,4)=48 Failed, w=97\",\"Add (1,2)=56 Failed, w=97\",\"Add (0,7)=60 Failed, w=97\",\"Add (2,3)=60 Failed, w=97\",\"Add (0,2)=62 Failed, w=97\",\"Add (3,6)=67 Failed, w=97\",\"Add (1,7)=72 Failed, w=97\",\"Add (6,7)=72 Failed, w=97\",\"Add (4,5)=79 Failed, w=97\",\"Add (0,6)=82 Failed, w=97\",\"Add (5,7)=83 Failed, w=97\",\"Add (2,7)=84 Failed, w=97\",\"Add (4,7)=84 Failed, w=97\",\"Add (0,1)=93 Failed, w=97\",\"Add (2,6)=94 Failed, w=97\",\"Add (5,6)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,62],[0,3,44],[0,4,14],[0,5,7],[0,6,82],[0,7,60],[1,2,56],[1,3,31],[1,4,37],[1,5,37],[1,6,3],[1,7,72],[2,3,60],[2,4,48],[2,5,3],[2,6,94],[2,7,84],[3,4,35],[3,5,42],[3,6,67],[3,7,11],[4,5,79],[4,6,28],[4,7,84],[5,6,95],[5,7,83],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=3,(2,5)=3,(0,5)=7,(3,7)=11,(0,4)=14,(4,6)=28,(1,3)=31,(3,4)=35,(1,4)=37,(1,5)=37,(3,5)=42,(0,3)=44,(2,4)=48,(1,2)=56,(0,7)=60,(2,3)=60,(0,2)=62,(3,6)=67,(1,7)=72,(6,7)=72,(4,5)=79,(0,6)=82,(5,7)=83,(2,7)=84,(4,7)=84,(0,1)=93,(2,6)=94,(5,6)=95]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=6\",\"Find(0)=0, Find(5)=2, Add (0,5)=7 Succeeded, w=13\",\"Find(3)=3, Find(7)=7, Add (3,7)=11 Succeeded, w=24\",\"Find(0)=2, Find(4)=4, Add (0,4)=14 Succeeded, w=38\",\"Find(4)=2, Find(6)=1, Add (4,6)=28 Succeeded, w=66\",\"Find(1)=2, Find(3)=3, Add (1,3)=31 Succeeded, w=97\",\"Find(3)=2, Find(4)=2, Add (3,4)=35 Failed, w=97\",\"Find(1)=2, Find(4)=2, Add (1,4)=37 Failed, w=97\",\"Find(1)=2, Find(5)=2, Add (1,5)=37 Failed, w=97\",\"Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=97\",\"Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=97\",\"Find(2)=2, Find(4)=2, Add (2,4)=48 Failed, w=97\",\"Find(1)=2, Find(2)=2, Add (1,2)=56 Failed, w=97\",\"Find(0)=2, Find(7)=2, Add (0,7)=60 Failed, w=97\",\"Find(2)=2, Find(3)=2, Add (2,3)=60 Failed, w=97\",\"Find(0)=2, Find(2)=2, Add (0,2)=62 Failed, w=97\",\"Find(3)=2, Find(6)=2, Add (3,6)=67 Failed, w=97\",\"Find(1)=2, Find(7)=2, Add (1,7)=72 Failed, w=97\",\"Find(6)=2, Find(7)=2, Add (6,7)=72 Failed, w=97\",\"Find(4)=2, Find(5)=2, Add (4,5)=79 Failed, w=97\",\"Find(0)=2, Find(6)=2, Add (0,6)=82 Failed, w=97\",\"Find(5)=2, Find(7)=2, Add (5,7)=83 Failed, w=97\",\"Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=97\",\"Find(4)=2, Find(7)=2, Add (4,7)=84 Failed, w=97\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=97\",\"Find(2)=2, Find(6)=2, Add (2,6)=94 Failed, w=97\",\"Find(5)=2, Find(6)=2, Add (5,6)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,62],[0,3,44],[0,4,14],[0,5,7],[0,6,82],[0,7,60],[1,2,56],[1,3,31],[1,4,37],[1,5,37],[1,6,3],[1,7,72],[2,3,60],[2,4,48],[2,5,3],[2,6,94],[2,7,84],[3,4,35],[3,5,42],[3,6,67],[3,7,11],[4,5,79],[4,6,28],[4,7,84],[5,6,95],[5,7,83],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=3,(2,5)=3,(0,5)=7,(3,7)=11,(0,4)=14,(4,6)=28,(1,3)=31,(3,4)=35,(1,4)=37,(1,5)=37,(3,5)=42,(0,3)=44,(2,4)=48,(1,2)=56,(0,7)=60,(2,3)=60,(0,2)=62,(3,6)=67,(1,7)=72,(6,7)=72,(4,5)=79,(0,6)=82,(5,7)=83,(2,7)=84,(4,7)=84,(0,1)=93,(2,6)=94,(5,6)=95]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(0)=0, Find(5)=2, Add (0,5)=7 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=11 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 1, 7: 3}, Find(0)=2, Find(4)=4, Add (0,4)=14 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 1, 7: 3}, Find(4)=2, Find(6)=1, Add (4,6)=28 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 3}, Find(1)=2, Find(3)=3, Add (1,3)=31 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 3}, Find(3)=2, Find(4)=2, Add (3,4)=35 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 3}, Find(1)=2, Find(4)=2, Add (1,4)=37 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 3}, Find(1)=2, Find(5)=2, Add (1,5)=37 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 3}, Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 3}, Find(0)=2, Find(3)=2, Add (0,3)=44 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 3}, Find(2)=2, Find(4)=2, Add (2,4)=48 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 3}, Find(1)=2, Find(2)=2, Add (1,2)=56 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=60 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=60 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=62 Failed, w=97\",\"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)=67 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=72 Failed, w=97\",\"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)=72 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=79 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=82 Failed, w=97\",\"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)=83 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=84 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=94 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,97],[0,3,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,1)=97, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,1)=97 Succeeded, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=97 Succeeded, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=97 Succeeded, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,91],[0,3,7],[0,4,57],[0,5,86],[0,6,34],[1,3,47],[1,5,40],[1,6,10],[2,3,86],[2,4,23],[2,6,39],[2,7,34],[3,4,25],[3,5,91],[3,6,100],[3,7,97],[4,5,100],[4,6,45],[4,7,55],[5,6,55],[5,7,28],[6,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,91],[0,3,7],[0,4,57],[0,5,86],[0,6,34],[1,3,47],[1,5,40],[1,6,10],[2,3,86],[2,4,23],[2,6,39],[2,7,34],[3,4,25],[3,5,91],[3,6,100],[3,7,97],[4,5,100],[4,6,45],[4,7,55],[5,6,55],[5,7,28],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,91],[0,3,7],[0,4,57],[0,5,86],[0,6,34],[1,3,47],[1,5,40],[1,6,10],[2,3,86],[2,4,23],[2,6,39],[2,7,34],[3,4,25],[3,5,91],[3,6,100],[3,7,97],[4,5,100],[4,6,45],[4,7,55],[5,6,55],[5,7,28],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (5,7)\",\"Add (0,1)\",\"Add (2,7)\"],\"Answer\":161}",
"role": "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],[0,2,91],[0,3,7],[0,4,57],[0,5,86],[0,6,34],[1,3,47],[1,5,40],[1,6,10],[2,3,86],[2,4,23],[2,6,39],[2,7,34],[3,4,25],[3,5,91],[3,6,100],[3,7,97],[4,5,100],[4,6,45],[4,7,55],[5,6,55],[5,7,28],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (1,6)=10, w=17\",\"Add (2,4)=23, w=40\",\"Add (3,4)=25, w=65\",\"Add (5,7)=28, w=93\",\"Add (0,1)=34, w=127\",\"Add (2,7)=34, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,91],[0,3,7],[0,4,57],[0,5,86],[0,6,34],[1,3,47],[1,5,40],[1,6,10],[2,3,86],[2,4,23],[2,6,39],[2,7,34],[3,4,25],[3,5,91],[3,6,100],[3,7,97],[4,5,100],[4,6,45],[4,7,55],[5,6,55],[5,7,28],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (1,6)=10 Succeeded, w=17\",\"Add (2,4)=23 Succeeded, w=40\",\"Add (3,4)=25 Succeeded, w=65\",\"Add (5,7)=28 Succeeded, w=93\",\"Add (0,1)=34 Succeeded, w=127\",\"Add (0,6)=34 Failed, w=127\",\"Add (2,7)=34 Succeeded, w=161\",\"Add (2,6)=39 Failed, w=161\",\"Add (1,5)=40 Failed, w=161\",\"Add (4,6)=45 Failed, w=161\",\"Add (1,3)=47 Failed, w=161\",\"Add (4,7)=55 Failed, w=161\",\"Add (5,6)=55 Failed, w=161\",\"Add (0,4)=57 Failed, w=161\",\"Add (6,7)=67 Failed, w=161\",\"Add (0,5)=86 Failed, w=161\",\"Add (2,3)=86 Failed, w=161\",\"Add (0,2)=91 Failed, w=161\",\"Add (3,5)=91 Failed, w=161\",\"Add (3,7)=97 Failed, w=161\",\"Add (3,6)=100 Failed, w=161\",\"Add (4,5)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,91],[0,3,7],[0,4,57],[0,5,86],[0,6,34],[1,3,47],[1,5,40],[1,6,10],[2,3,86],[2,4,23],[2,6,39],[2,7,34],[3,4,25],[3,5,91],[3,6,100],[3,7,97],[4,5,100],[4,6,45],[4,7,55],[5,6,55],[5,7,28],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,6)=10,(2,4)=23,(3,4)=25,(5,7)=28,(0,1)=34,(0,6)=34,(2,7)=34,(2,6)=39,(1,5)=40,(4,6)=45,(1,3)=47,(4,7)=55,(5,6)=55,(0,4)=57,(6,7)=67,(0,5)=86,(2,3)=86,(0,2)=91,(3,5)=91,(3,7)=97,(3,6)=100,(4,5)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(6)=6, Add (1,6)=10 Succeeded, w=17\",\"Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=40\",\"Find(3)=0, Find(4)=2, Add (3,4)=25 Succeeded, w=65\",\"Find(5)=5, Find(7)=7, Add (5,7)=28 Succeeded, w=93\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=127\",\"Find(0)=0, Find(6)=0, Add (0,6)=34 Failed, w=127\",\"Find(2)=0, Find(7)=5, Add (2,7)=34 Succeeded, w=161\",\"Find(2)=0, Find(6)=0, Add (2,6)=39 Failed, w=161\",\"Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=161\",\"Find(4)=0, Find(6)=0, Add (4,6)=45 Failed, w=161\",\"Find(1)=0, Find(3)=0, Add (1,3)=47 Failed, w=161\",\"Find(4)=0, Find(7)=0, Add (4,7)=55 Failed, w=161\",\"Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=161\",\"Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=161\",\"Find(6)=0, Find(7)=0, Add (6,7)=67 Failed, w=161\",\"Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=161\",\"Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=161\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=161\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=161\",\"Find(3)=0, Find(7)=0, Add (3,7)=97 Failed, w=161\",\"Find(3)=0, Find(6)=0, Add (3,6)=100 Failed, w=161\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,91],[0,3,7],[0,4,57],[0,5,86],[0,6,34],[1,3,47],[1,5,40],[1,6,10],[2,3,86],[2,4,23],[2,6,39],[2,7,34],[3,4,25],[3,5,91],[3,6,100],[3,7,97],[4,5,100],[4,6,45],[4,7,55],[5,6,55],[5,7,28],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,6)=10,(2,4)=23,(3,4)=25,(5,7)=28,(0,1)=34,(0,6)=34,(2,7)=34,(2,6)=39,(1,5)=40,(4,6)=45,(1,3)=47,(4,7)=55,(5,6)=55,(0,4)=57,(6,7)=67,(0,5)=86,(2,3)=86,(0,2)=91,(3,5)=91,(3,7)=97,(3,6)=100,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 5, 6: 1, 7: 7}, Find(3)=0, Find(4)=2, Add (3,4)=25 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 5, 6: 1, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=28 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 1, 7: 5}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0, 7: 5}, Find(0)=0, Find(6)=0, Add (0,6)=34 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(7)=5, Add (2,7)=34 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(6)=0, Add (2,6)=39 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(4)=0, Find(6)=0, Add (4,6)=45 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(3)=0, Add (1,3)=47 Failed, w=161\",\"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)=55 Failed, w=161\",\"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)=55 Failed, w=161\",\"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)=57 Failed, w=161\",\"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)=67 Failed, w=161\",\"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)=86 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=161\",\"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)=91 Failed, w=161\",\"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)=97 Failed, w=161\",\"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)=100 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,11],[0,2,31],[0,3,22],[0,4,75],[0,5,44],[0,6,47],[0,7,0],[1,3,96],[1,4,59],[1,5,73],[1,6,63],[1,7,50],[2,3,2],[2,4,90],[2,5,36],[2,6,50],[2,7,50],[3,4,80],[3,5,3],[3,6,29],[3,7,26],[4,5,37],[4,6,24],[4,7,90],[5,6,46],[5,7,10],[6,7,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,31],[0,3,22],[0,4,75],[0,5,44],[0,6,47],[0,7,0],[1,3,96],[1,4,59],[1,5,73],[1,6,63],[1,7,50],[2,3,2],[2,4,90],[2,5,36],[2,6,50],[2,7,50],[3,4,80],[3,5,3],[3,6,29],[3,7,26],[4,5,37],[4,6,24],[4,7,90],[5,6,46],[5,7,10],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,31],[0,3,22],[0,4,75],[0,5,44],[0,6,47],[0,7,0],[1,3,96],[1,4,59],[1,5,73],[1,6,63],[1,7,50],[2,3,2],[2,4,90],[2,5,36],[2,6,50],[2,7,50],[3,4,80],[3,5,3],[3,6,29],[3,7,26],[4,5,37],[4,6,24],[4,7,90],[5,6,46],[5,7,10],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (5,7)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (3,6)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,31],[0,3,22],[0,4,75],[0,5,44],[0,6,47],[0,7,0],[1,3,96],[1,4,59],[1,5,73],[1,6,63],[1,7,50],[2,3,2],[2,4,90],[2,5,36],[2,6,50],[2,7,50],[3,4,80],[3,5,3],[3,6,29],[3,7,26],[4,5,37],[4,6,24],[4,7,90],[5,6,46],[5,7,10],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0, w=0\",\"Add (2,3)=2, w=2\",\"Add (3,5)=3, w=5\",\"Add (5,7)=10, w=15\",\"Add (0,1)=11, w=26\",\"Add (4,6)=24, w=50\",\"Add (3,6)=29, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,31],[0,3,22],[0,4,75],[0,5,44],[0,6,47],[0,7,0],[1,3,96],[1,4,59],[1,5,73],[1,6,63],[1,7,50],[2,3,2],[2,4,90],[2,5,36],[2,6,50],[2,7,50],[3,4,80],[3,5,3],[3,6,29],[3,7,26],[4,5,37],[4,6,24],[4,7,90],[5,6,46],[5,7,10],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0 Succeeded, w=0\",\"Add (2,3)=2 Succeeded, w=2\",\"Add (3,5)=3 Succeeded, w=5\",\"Add (5,7)=10 Succeeded, w=15\",\"Add (0,1)=11 Succeeded, w=26\",\"Add (0,3)=22 Failed, w=26\",\"Add (4,6)=24 Succeeded, w=50\",\"Add (3,7)=26 Failed, w=50\",\"Add (3,6)=29 Succeeded, w=79\",\"Add (0,2)=31 Failed, w=79\",\"Add (2,5)=36 Failed, w=79\",\"Add (4,5)=37 Failed, w=79\",\"Add (0,5)=44 Failed, w=79\",\"Add (5,6)=46 Failed, w=79\",\"Add (0,6)=47 Failed, w=79\",\"Add (1,7)=50 Failed, w=79\",\"Add (2,6)=50 Failed, w=79\",\"Add (2,7)=50 Failed, w=79\",\"Add (1,4)=59 Failed, w=79\",\"Add (1,6)=63 Failed, w=79\",\"Add (6,7)=69 Failed, w=79\",\"Add (1,5)=73 Failed, w=79\",\"Add (0,4)=75 Failed, w=79\",\"Add (3,4)=80 Failed, w=79\",\"Add (2,4)=90 Failed, w=79\",\"Add (4,7)=90 Failed, w=79\",\"Add (1,3)=96 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,31],[0,3,22],[0,4,75],[0,5,44],[0,6,47],[0,7,0],[1,3,96],[1,4,59],[1,5,73],[1,6,63],[1,7,50],[2,3,2],[2,4,90],[2,5,36],[2,6,50],[2,7,50],[3,4,80],[3,5,3],[3,6,29],[3,7,26],[4,5,37],[4,6,24],[4,7,90],[5,6,46],[5,7,10],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(2,3)=2,(3,5)=3,(5,7)=10,(0,1)=11,(0,3)=22,(4,6)=24,(3,7)=26,(3,6)=29,(0,2)=31,(2,5)=36,(4,5)=37,(0,5)=44,(5,6)=46,(0,6)=47,(1,7)=50,(2,6)=50,(2,7)=50,(1,4)=59,(1,6)=63,(6,7)=69,(1,5)=73,(0,4)=75,(3,4)=80,(2,4)=90,(4,7)=90,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(3)=2, Find(5)=5, Add (3,5)=3 Succeeded, w=5\",\"Find(5)=2, Find(7)=0, Add (5,7)=10 Succeeded, w=15\",\"Find(0)=2, Find(1)=1, Add (0,1)=11 Succeeded, w=26\",\"Find(0)=2, Find(3)=2, Add (0,3)=22 Failed, w=26\",\"Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=50\",\"Find(3)=2, Find(7)=2, Add (3,7)=26 Failed, w=50\",\"Find(3)=2, Find(6)=4, Add (3,6)=29 Succeeded, w=79\",\"Find(0)=2, Find(2)=2, Add (0,2)=31 Failed, w=79\",\"Find(2)=2, Find(5)=2, Add (2,5)=36 Failed, w=79\",\"Find(4)=2, Find(5)=2, Add (4,5)=37 Failed, w=79\",\"Find(0)=2, Find(5)=2, Add (0,5)=44 Failed, w=79\",\"Find(5)=2, Find(6)=2, Add (5,6)=46 Failed, w=79\",\"Find(0)=2, Find(6)=2, Add (0,6)=47 Failed, w=79\",\"Find(1)=2, Find(7)=2, Add (1,7)=50 Failed, w=79\",\"Find(2)=2, Find(6)=2, Add (2,6)=50 Failed, w=79\",\"Find(2)=2, Find(7)=2, Add (2,7)=50 Failed, w=79\",\"Find(1)=2, Find(4)=2, Add (1,4)=59 Failed, w=79\",\"Find(1)=2, Find(6)=2, Add (1,6)=63 Failed, w=79\",\"Find(6)=2, Find(7)=2, Add (6,7)=69 Failed, w=79\",\"Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=79\",\"Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=79\",\"Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=79\",\"Find(2)=2, Find(4)=2, Add (2,4)=90 Failed, w=79\",\"Find(4)=2, Find(7)=2, Add (4,7)=90 Failed, w=79\",\"Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,31],[0,3,22],[0,4,75],[0,5,44],[0,6,47],[0,7,0],[1,3,96],[1,4,59],[1,5,73],[1,6,63],[1,7,50],[2,3,2],[2,4,90],[2,5,36],[2,6,50],[2,7,50],[3,4,80],[3,5,3],[3,6,29],[3,7,26],[4,5,37],[4,6,24],[4,7,90],[5,6,46],[5,7,10],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(2,3)=2,(3,5)=3,(5,7)=10,(0,1)=11,(0,3)=22,(4,6)=24,(3,7)=26,(3,6)=29,(0,2)=31,(2,5)=36,(4,5)=37,(0,5)=44,(5,6)=46,(0,6)=47,(1,7)=50,(2,6)=50,(2,7)=50,(1,4)=59,(1,6)=63,(6,7)=69,(1,5)=73,(0,4)=75,(3,4)=80,(2,4)=90,(4,7)=90,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 0}, Find(3)=2, Find(5)=5, Add (3,5)=3 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 0}, Find(5)=2, Find(7)=0, Add (5,7)=10 Succeeded, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 0}, Find(0)=2, Find(1)=1, Add (0,1)=11 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 0}, Find(0)=2, Find(3)=2, Add (0,3)=22 Failed, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4, 7: 0}, Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=26 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(3)=2, Find(6)=4, Add (3,6)=29 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=31 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=36 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=37 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=44 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=46 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=47 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=50 Failed, w=79\",\"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)=50 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=50 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=59 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=63 Failed, w=79\",\"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)=69 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=90 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=90 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,3,22],[0,4,87],[0,5,19],[1,3,92],[1,5,36],[2,3,35],[2,4,42],[3,4,53],[3,5,11],[4,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,22],[0,4,87],[0,5,19],[1,3,92],[1,5,36],[2,3,35],[2,4,42],[3,4,53],[3,5,11],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,22],[0,4,87],[0,5,19],[1,3,92],[1,5,36],[2,3,35],[2,4,42],[3,4,53],[3,5,11],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,22],[0,4,87],[0,5,19],[1,3,92],[1,5,36],[2,3,35],[2,4,42],[3,4,53],[3,5,11],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5, w=5\",\"Add (3,5)=11, w=16\",\"Add (0,5)=19, w=35\",\"Add (2,3)=35, w=70\",\"Add (1,5)=36, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,22],[0,4,87],[0,5,19],[1,3,92],[1,5,36],[2,3,35],[2,4,42],[3,4,53],[3,5,11],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5 Succeeded, w=5\",\"Add (3,5)=11 Succeeded, w=16\",\"Add (0,5)=19 Succeeded, w=35\",\"Add (0,3)=22 Failed, w=35\",\"Add (2,3)=35 Succeeded, w=70\",\"Add (1,5)=36 Succeeded, w=106\",\"Add (2,4)=42 Failed, w=106\",\"Add (3,4)=53 Failed, w=106\",\"Add (0,1)=60 Failed, w=106\",\"Add (0,4)=87 Failed, w=106\",\"Add (1,3)=92 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,22],[0,4,87],[0,5,19],[1,3,92],[1,5,36],[2,3,35],[2,4,42],[3,4,53],[3,5,11],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(3,5)=11,(0,5)=19,(0,3)=22,(2,3)=35,(1,5)=36,(2,4)=42,(3,4)=53,(0,1)=60,(0,4)=87,(1,3)=92]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Find(3)=3, Find(5)=4, Add (3,5)=11 Succeeded, w=16\",\"Find(0)=0, Find(5)=4, Add (0,5)=19 Succeeded, w=35\",\"Find(0)=4, Find(3)=4, Add (0,3)=22 Failed, w=35\",\"Find(2)=2, Find(3)=4, Add (2,3)=35 Succeeded, w=70\",\"Find(1)=1, Find(5)=4, Add (1,5)=36 Succeeded, w=106\",\"Find(2)=4, Find(4)=4, Add (2,4)=42 Failed, w=106\",\"Find(3)=4, Find(4)=4, Add (3,4)=53 Failed, w=106\",\"Find(0)=4, Find(1)=4, Add (0,1)=60 Failed, w=106\",\"Find(0)=4, Find(4)=4, Add (0,4)=87 Failed, w=106\",\"Find(1)=4, Find(3)=4, Add (1,3)=92 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,22],[0,4,87],[0,5,19],[1,3,92],[1,5,36],[2,3,35],[2,4,42],[3,4,53],[3,5,11],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(3,5)=11,(0,5)=19,(0,3)=22,(2,3)=35,(1,5)=36,(2,4)=42,(3,4)=53,(0,1)=60,(0,4)=87,(1,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=11 Succeeded, w=16\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=19 Succeeded, w=35\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=22 Failed, w=35\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(3)=4, Add (2,3)=35 Succeeded, w=70\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=36 Succeeded, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=42 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=53 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=60 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=87 Failed, w=106\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=92 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,86],[0,2,94],[0,3,36],[0,4,11],[0,5,50],[0,6,76],[1,2,15],[1,3,70],[1,4,83],[1,5,70],[1,6,64],[2,3,28],[2,4,9],[2,5,23],[2,6,24],[3,4,19],[3,5,62],[3,6,4],[4,5,99],[4,6,94],[5,6,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,94],[0,3,36],[0,4,11],[0,5,50],[0,6,76],[1,2,15],[1,3,70],[1,4,83],[1,5,70],[1,6,64],[2,3,28],[2,4,9],[2,5,23],[2,6,24],[3,4,19],[3,5,62],[3,6,4],[4,5,99],[4,6,94],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"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],[0,2,94],[0,3,36],[0,4,11],[0,5,50],[0,6,76],[1,2,15],[1,3,70],[1,4,83],[1,5,70],[1,6,64],[2,3,28],[2,4,9],[2,5,23],[2,6,24],[3,4,19],[3,5,62],[3,6,4],[4,5,99],[4,6,94],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":81}",
"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],[0,2,94],[0,3,36],[0,4,11],[0,5,50],[0,6,76],[1,2,15],[1,3,70],[1,4,83],[1,5,70],[1,6,64],[2,3,28],[2,4,9],[2,5,23],[2,6,24],[3,4,19],[3,5,62],[3,6,4],[4,5,99],[4,6,94],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=4, w=4\",\"Add (2,4)=9, w=13\",\"Add (0,4)=11, w=24\",\"Add (1,2)=15, w=39\",\"Add (3,4)=19, w=58\",\"Add (2,5)=23, w=81\"],\"Answer\":81}",
"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],[0,2,94],[0,3,36],[0,4,11],[0,5,50],[0,6,76],[1,2,15],[1,3,70],[1,4,83],[1,5,70],[1,6,64],[2,3,28],[2,4,9],[2,5,23],[2,6,24],[3,4,19],[3,5,62],[3,6,4],[4,5,99],[4,6,94],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=4 Succeeded, w=4\",\"Add (2,4)=9 Succeeded, w=13\",\"Add (0,4)=11 Succeeded, w=24\",\"Add (1,2)=15 Succeeded, w=39\",\"Add (3,4)=19 Succeeded, w=58\",\"Add (2,5)=23 Succeeded, w=81\",\"Add (2,6)=24 Failed, w=81\",\"Add (2,3)=28 Failed, w=81\",\"Add (5,6)=35 Failed, w=81\",\"Add (0,3)=36 Failed, w=81\",\"Add (0,5)=50 Failed, w=81\",\"Add (3,5)=62 Failed, w=81\",\"Add (1,6)=64 Failed, w=81\",\"Add (1,3)=70 Failed, w=81\",\"Add (1,5)=70 Failed, w=81\",\"Add (0,6)=76 Failed, w=81\",\"Add (1,4)=83 Failed, w=81\",\"Add (0,1)=86 Failed, w=81\",\"Add (0,2)=94 Failed, w=81\",\"Add (4,6)=94 Failed, w=81\",\"Add (4,5)=99 Failed, w=81\"],\"Answer\":81}",
"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],[0,2,94],[0,3,36],[0,4,11],[0,5,50],[0,6,76],[1,2,15],[1,3,70],[1,4,83],[1,5,70],[1,6,64],[2,3,28],[2,4,9],[2,5,23],[2,6,24],[3,4,19],[3,5,62],[3,6,4],[4,5,99],[4,6,94],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=4,(2,4)=9,(0,4)=11,(1,2)=15,(3,4)=19,(2,5)=23,(2,6)=24,(2,3)=28,(5,6)=35,(0,3)=36,(0,5)=50,(3,5)=62,(1,6)=64,(1,3)=70,(1,5)=70,(0,6)=76,(1,4)=83,(0,1)=86,(0,2)=94,(4,6)=94,(4,5)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=13\",\"Find(0)=0, Find(4)=2, Add (0,4)=11 Succeeded, w=24\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=39\",\"Find(3)=3, Find(4)=2, Add (3,4)=19 Succeeded, w=58\",\"Find(2)=3, Find(5)=5, Add (2,5)=23 Succeeded, w=81\",\"Find(2)=3, Find(6)=3, Add (2,6)=24 Failed, w=81\",\"Find(2)=3, Find(3)=3, Add (2,3)=28 Failed, w=81\",\"Find(5)=3, Find(6)=3, Add (5,6)=35 Failed, w=81\",\"Find(0)=3, Find(3)=3, Add (0,3)=36 Failed, w=81\",\"Find(0)=3, Find(5)=3, Add (0,5)=50 Failed, w=81\",\"Find(3)=3, Find(5)=3, Add (3,5)=62 Failed, w=81\",\"Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=81\",\"Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=81\",\"Find(1)=3, Find(5)=3, Add (1,5)=70 Failed, w=81\",\"Find(0)=3, Find(6)=3, Add (0,6)=76 Failed, w=81\",\"Find(1)=3, Find(4)=3, Add (1,4)=83 Failed, w=81\",\"Find(0)=3, Find(1)=3, Add (0,1)=86 Failed, w=81\",\"Find(0)=3, Find(2)=3, Add (0,2)=94 Failed, w=81\",\"Find(4)=3, Find(6)=3, Add (4,6)=94 Failed, w=81\",\"Find(4)=3, Find(5)=3, Add (4,5)=99 Failed, w=81\"],\"Answer\":81}",
"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],[0,2,94],[0,3,36],[0,4,11],[0,5,50],[0,6,76],[1,2,15],[1,3,70],[1,4,83],[1,5,70],[1,6,64],[2,3,28],[2,4,9],[2,5,23],[2,6,24],[3,4,19],[3,5,62],[3,6,4],[4,5,99],[4,6,94],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=4,(2,4)=9,(0,4)=11,(1,2)=15,(3,4)=19,(2,5)=23,(2,6)=24,(2,3)=28,(5,6)=35,(0,3)=36,(0,5)=50,(3,5)=62,(1,6)=64,(1,3)=70,(1,5)=70,(0,6)=76,(1,4)=83,(0,1)=86,(0,2)=94,(4,6)=94,(4,5)=99]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(0)=0, Find(4)=2, Add (0,4)=11 Succeeded, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 2, 5: 5, 6: 3}, Find(3)=3, Find(4)=2, Add (3,4)=19 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(2)=3, Find(5)=5, Add (2,5)=23 Succeeded, w=81\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=24 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=28 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=35 Failed, w=81\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=36 Failed, w=81\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=50 Failed, w=81\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=62 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=70 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=76 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=83 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=86 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=94 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=94 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=99 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,71],[0,2,52],[0,3,7],[0,4,65],[1,2,100],[1,3,21],[1,4,8],[2,3,97],[2,4,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,52],[0,3,7],[0,4,65],[1,2,100],[1,3,21],[1,4,8],[2,3,97],[2,4,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,52],[0,3,7],[0,4,65],[1,2,100],[1,3,21],[1,4,8],[2,3,97],[2,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,52],[0,3,7],[0,4,65],[1,2,100],[1,3,21],[1,4,8],[2,3,97],[2,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (1,4)=8, w=15\",\"Add (1,3)=21, w=36\",\"Add (0,2)=52, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,52],[0,3,7],[0,4,65],[1,2,100],[1,3,21],[1,4,8],[2,3,97],[2,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (1,4)=8 Succeeded, w=15\",\"Add (1,3)=21 Succeeded, w=36\",\"Add (0,2)=52 Succeeded, w=88\",\"Add (2,4)=61 Failed, w=88\",\"Add (0,4)=65 Failed, w=88\",\"Add (0,1)=71 Failed, w=88\",\"Add (2,3)=97 Failed, w=88\",\"Add (1,2)=100 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,52],[0,3,7],[0,4,65],[1,2,100],[1,3,21],[1,4,8],[2,3,97],[2,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,4)=8,(1,3)=21,(0,2)=52,(2,4)=61,(0,4)=65,(0,1)=71,(2,3)=97,(1,2)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=15\",\"Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=36\",\"Find(0)=1, Find(2)=2, Add (0,2)=52 Succeeded, w=88\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=88\",\"Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=88\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=88\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=88\",\"Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,52],[0,3,7],[0,4,65],[1,2,100],[1,3,21],[1,4,8],[2,3,97],[2,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,4)=8,(1,3)=21,(0,2)=52,(2,4)=61,(0,4)=65,(0,1)=71,(2,3)=97,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=52 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,2,24],[0,4,84],[1,3,6],[1,4,55],[2,4,65],[3,4,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,24],[0,4,84],[1,3,6],[1,4,55],[2,4,65],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,24],[0,4,84],[1,3,6],[1,4,55],[2,4,65],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,24],[0,4,84],[1,3,6],[1,4,55],[2,4,65],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (0,2)=24, w=30\",\"Add (1,4)=55, w=85\",\"Add (2,4)=65, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,24],[0,4,84],[1,3,6],[1,4,55],[2,4,65],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (0,2)=24 Succeeded, w=30\",\"Add (1,4)=55 Succeeded, w=85\",\"Add (3,4)=57 Failed, w=85\",\"Add (2,4)=65 Succeeded, w=150\",\"Add (0,1)=74 Failed, w=150\",\"Add (0,4)=84 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,24],[0,4,84],[1,3,6],[1,4,55],[2,4,65],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(0,2)=24,(1,4)=55,(3,4)=57,(2,4)=65,(0,1)=74,(0,4)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=30\",\"Find(1)=1, Find(4)=4, Add (1,4)=55 Succeeded, w=85\",\"Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=85\",\"Find(2)=0, Find(4)=1, Add (2,4)=65 Succeeded, w=150\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=150\",\"Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,24],[0,4,84],[1,3,6],[1,4,55],[2,4,65],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(0,2)=24,(1,4)=55,(3,4)=57,(2,4)=65,(0,1)=74,(0,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=55 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(2)=0, Find(4)=1, Add (2,4)=65 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,39],[0,2,74],[0,3,9],[0,4,14],[0,5,14],[1,2,79],[1,3,24],[1,4,82],[2,3,59],[2,4,24],[2,5,20],[3,4,52],[3,5,61],[4,5,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,74],[0,3,9],[0,4,14],[0,5,14],[1,2,79],[1,3,24],[1,4,82],[2,3,59],[2,4,24],[2,5,20],[3,4,52],[3,5,61],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,74],[0,3,9],[0,4,14],[0,5,14],[1,2,79],[1,3,24],[1,4,82],[2,3,59],[2,4,24],[2,5,20],[3,4,52],[3,5,61],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,74],[0,3,9],[0,4,14],[0,5,14],[1,2,79],[1,3,24],[1,4,82],[2,3,59],[2,4,24],[2,5,20],[3,4,52],[3,5,61],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (0,4)=14, w=23\",\"Add (0,5)=14, w=37\",\"Add (2,5)=20, w=57\",\"Add (1,3)=24, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,74],[0,3,9],[0,4,14],[0,5,14],[1,2,79],[1,3,24],[1,4,82],[2,3,59],[2,4,24],[2,5,20],[3,4,52],[3,5,61],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (0,4)=14 Succeeded, w=23\",\"Add (0,5)=14 Succeeded, w=37\",\"Add (2,5)=20 Succeeded, w=57\",\"Add (1,3)=24 Succeeded, w=81\",\"Add (2,4)=24 Failed, w=81\",\"Add (0,1)=39 Failed, w=81\",\"Add (3,4)=52 Failed, w=81\",\"Add (2,3)=59 Failed, w=81\",\"Add (3,5)=61 Failed, w=81\",\"Add (0,2)=74 Failed, w=81\",\"Add (1,2)=79 Failed, w=81\",\"Add (1,4)=82 Failed, w=81\",\"Add (4,5)=94 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,74],[0,3,9],[0,4,14],[0,5,14],[1,2,79],[1,3,24],[1,4,82],[2,3,59],[2,4,24],[2,5,20],[3,4,52],[3,5,61],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(0,4)=14,(0,5)=14,(2,5)=20,(1,3)=24,(2,4)=24,(0,1)=39,(3,4)=52,(2,3)=59,(3,5)=61,(0,2)=74,(1,2)=79,(1,4)=82,(4,5)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=23\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=37\",\"Find(2)=2, Find(5)=0, Add (2,5)=20 Succeeded, w=57\",\"Find(1)=1, Find(3)=0, Add (1,3)=24 Succeeded, w=81\",\"Find(2)=0, Find(4)=0, Add (2,4)=24 Failed, w=81\",\"Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=81\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=81\",\"Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=81\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=81\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=81\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=81\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,74],[0,3,9],[0,4,14],[0,5,14],[1,2,79],[1,3,24],[1,4,82],[2,3,59],[2,4,24],[2,5,20],[3,4,52],[3,5,61],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(0,4)=14,(0,5)=14,(2,5)=20,(1,3)=24,(2,4)=24,(0,1)=39,(3,4)=52,(2,3)=59,(3,5)=61,(0,2)=74,(1,2)=79,(1,4)=82,(4,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=20 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=24 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=24 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,8],[0,2,13],[0,3,34],[1,2,24],[1,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,13],[0,3,34],[1,2,24],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,13],[0,3,34],[1,2,24],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,13],[0,3,34],[1,2,24],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,2)=13, w=21\",\"Add (0,3)=34, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,13],[0,3,34],[1,2,24],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,2)=13 Succeeded, w=21\",\"Add (1,2)=24 Failed, w=21\",\"Add (0,3)=34 Succeeded, w=55\",\"Add (1,3)=55 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,13],[0,3,34],[1,2,24],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,2)=13,(1,2)=24,(0,3)=34,(1,3)=55]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=55\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,13],[0,3,34],[1,2,24],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,2)=13,(1,2)=24,(0,3)=34,(1,3)=55]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,53],[0,4,82],[0,5,14],[0,6,79],[0,7,56],[1,2,91],[1,3,93],[2,3,76],[2,4,73],[2,5,43],[2,6,70],[2,7,11],[3,6,80],[3,7,80],[5,7,92],[6,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,4,82],[0,5,14],[0,6,79],[0,7,56],[1,2,91],[1,3,93],[2,3,76],[2,4,73],[2,5,43],[2,6,70],[2,7,11],[3,6,80],[3,7,80],[5,7,92],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,4,82],[0,5,14],[0,6,79],[0,7,56],[1,2,91],[1,3,93],[2,3,76],[2,4,73],[2,5,43],[2,6,70],[2,7,11],[3,6,80],[3,7,80],[5,7,92],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,4,82],[0,5,14],[0,6,79],[0,7,56],[1,2,91],[1,3,93],[2,3,76],[2,4,73],[2,5,43],[2,6,70],[2,7,11],[3,6,80],[3,7,80],[5,7,92],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=11, w=11\",\"Add (0,5)=14, w=25\",\"Add (6,7)=22, w=47\",\"Add (2,5)=43, w=90\",\"Add (0,1)=53, w=143\",\"Add (2,4)=73, w=216\",\"Add (2,3)=76, w=292\"],\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,4,82],[0,5,14],[0,6,79],[0,7,56],[1,2,91],[1,3,93],[2,3,76],[2,4,73],[2,5,43],[2,6,70],[2,7,11],[3,6,80],[3,7,80],[5,7,92],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=11 Succeeded, w=11\",\"Add (0,5)=14 Succeeded, w=25\",\"Add (6,7)=22 Succeeded, w=47\",\"Add (2,5)=43 Succeeded, w=90\",\"Add (0,1)=53 Succeeded, w=143\",\"Add (0,7)=56 Failed, w=143\",\"Add (2,6)=70 Failed, w=143\",\"Add (2,4)=73 Succeeded, w=216\",\"Add (2,3)=76 Succeeded, w=292\",\"Add (0,6)=79 Failed, w=292\",\"Add (3,6)=80 Failed, w=292\",\"Add (3,7)=80 Failed, w=292\",\"Add (0,4)=82 Failed, w=292\",\"Add (1,2)=91 Failed, w=292\",\"Add (5,7)=92 Failed, w=292\",\"Add (1,3)=93 Failed, w=292\"],\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,4,82],[0,5,14],[0,6,79],[0,7,56],[1,2,91],[1,3,93],[2,3,76],[2,4,73],[2,5,43],[2,6,70],[2,7,11],[3,6,80],[3,7,80],[5,7,92],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=11,(0,5)=14,(6,7)=22,(2,5)=43,(0,1)=53,(0,7)=56,(2,6)=70,(2,4)=73,(2,3)=76,(0,6)=79,(3,6)=80,(3,7)=80,(0,4)=82,(1,2)=91,(5,7)=92,(1,3)=93]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=11 Succeeded, w=11\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=25\",\"Find(6)=6, Find(7)=2, Add (6,7)=22 Succeeded, w=47\",\"Find(2)=2, Find(5)=0, Add (2,5)=43 Succeeded, w=90\",\"Find(0)=2, Find(1)=1, Add (0,1)=53 Succeeded, w=143\",\"Find(0)=2, Find(7)=2, Add (0,7)=56 Failed, w=143\",\"Find(2)=2, Find(6)=2, Add (2,6)=70 Failed, w=143\",\"Find(2)=2, Find(4)=4, Add (2,4)=73 Succeeded, w=216\",\"Find(2)=2, Find(3)=3, Add (2,3)=76 Succeeded, w=292\",\"Find(0)=2, Find(6)=2, Add (0,6)=79 Failed, w=292\",\"Find(3)=2, Find(6)=2, Add (3,6)=80 Failed, w=292\",\"Find(3)=2, Find(7)=2, Add (3,7)=80 Failed, w=292\",\"Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=292\",\"Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=292\",\"Find(5)=2, Find(7)=2, Add (5,7)=92 Failed, w=292\",\"Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=292\"],\"Answer\":292}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,4,82],[0,5,14],[0,6,79],[0,7,56],[1,2,91],[1,3,93],[2,3,76],[2,4,73],[2,5,43],[2,6,70],[2,7,11],[3,6,80],[3,7,80],[5,7,92],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=11,(0,5)=14,(6,7)=22,(2,5)=43,(0,1)=53,(0,7)=56,(2,6)=70,(2,4)=73,(2,3)=76,(0,6)=79,(3,6)=80,(3,7)=80,(0,4)=82,(1,2)=91,(5,7)=92,(1,3)=93]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 2}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=22 Succeeded, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(5)=0, Add (2,5)=43 Succeeded, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(1)=1, Add (0,1)=53 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=56 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=70 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=73 Succeeded, w=216\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=76 Succeeded, w=292\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=79 Failed, w=292\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=80 Failed, w=292\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=80 Failed, w=292\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=292\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=292\",\"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)=92 Failed, w=292\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=292\"],\"Answer\":292}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,43],[0,3,15],[0,4,51],[1,2,52],[1,3,82],[2,4,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,15],[0,4,51],[1,2,52],[1,3,82],[2,4,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,15],[0,4,51],[1,2,52],[1,3,82],[2,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,15],[0,4,51],[1,2,52],[1,3,82],[2,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (0,2)=43, w=58\",\"Add (0,4)=51, w=109\",\"Add (1,2)=52, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,15],[0,4,51],[1,2,52],[1,3,82],[2,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (0,2)=43 Succeeded, w=58\",\"Add (0,4)=51 Succeeded, w=109\",\"Add (1,2)=52 Succeeded, w=161\",\"Add (2,4)=64 Failed, w=161\",\"Add (1,3)=82 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,15],[0,4,51],[1,2,52],[1,3,82],[2,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(0,2)=43,(0,4)=51,(1,2)=52,(2,4)=64,(1,3)=82]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=58\",\"Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=109\",\"Find(1)=1, Find(2)=0, Add (1,2)=52 Succeeded, w=161\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=161\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,15],[0,4,51],[1,2,52],[1,3,82],[2,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(0,2)=43,(0,4)=51,(1,2)=52,(2,4)=64,(1,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=52 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,8],[0,2,35],[0,3,27],[0,5,86],[1,2,63],[1,4,0],[1,5,69],[2,3,63],[2,4,60],[2,5,30],[3,4,44],[3,5,93],[4,5,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,35],[0,3,27],[0,5,86],[1,2,63],[1,4,0],[1,5,69],[2,3,63],[2,4,60],[2,5,30],[3,4,44],[3,5,93],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,35],[0,3,27],[0,5,86],[1,2,63],[1,4,0],[1,5,69],[2,3,63],[2,4,60],[2,5,30],[3,4,44],[3,5,93],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (0,2)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,35],[0,3,27],[0,5,86],[1,2,63],[1,4,0],[1,5,69],[2,3,63],[2,4,60],[2,5,30],[3,4,44],[3,5,93],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,1)=8, w=8\",\"Add (0,3)=27, w=35\",\"Add (2,5)=30, w=65\",\"Add (0,2)=35, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,35],[0,3,27],[0,5,86],[1,2,63],[1,4,0],[1,5,69],[2,3,63],[2,4,60],[2,5,30],[3,4,44],[3,5,93],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,3)=27 Succeeded, w=35\",\"Add (2,5)=30 Succeeded, w=65\",\"Add (0,2)=35 Succeeded, w=100\",\"Add (3,4)=44 Failed, w=100\",\"Add (2,4)=60 Failed, w=100\",\"Add (1,2)=63 Failed, w=100\",\"Add (2,3)=63 Failed, w=100\",\"Add (4,5)=65 Failed, w=100\",\"Add (1,5)=69 Failed, w=100\",\"Add (0,5)=86 Failed, w=100\",\"Add (3,5)=93 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,35],[0,3,27],[0,5,86],[1,2,63],[1,4,0],[1,5,69],[2,3,63],[2,4,60],[2,5,30],[3,4,44],[3,5,93],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,1)=8,(0,3)=27,(2,5)=30,(0,2)=35,(3,4)=44,(2,4)=60,(1,2)=63,(2,3)=63,(4,5)=65,(1,5)=69,(0,5)=86,(3,5)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=1, Find(3)=3, Add (0,3)=27 Succeeded, w=35\",\"Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=65\",\"Find(0)=1, Find(2)=2, Add (0,2)=35 Succeeded, w=100\",\"Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=100\",\"Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=100\",\"Find(1)=1, Find(2)=1, Add (1,2)=63 Failed, w=100\",\"Find(2)=1, Find(3)=1, Add (2,3)=63 Failed, w=100\",\"Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=100\",\"Find(1)=1, Find(5)=1, Add (1,5)=69 Failed, w=100\",\"Find(0)=1, Find(5)=1, Add (0,5)=86 Failed, w=100\",\"Find(3)=1, Find(5)=1, Add (3,5)=93 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,35],[0,3,27],[0,5,86],[1,2,63],[1,4,0],[1,5,69],[2,3,63],[2,4,60],[2,5,30],[3,4,44],[3,5,93],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,1)=8,(0,3)=27,(2,5)=30,(0,2)=35,(3,4)=44,(2,4)=60,(1,2)=63,(2,3)=63,(4,5)=65,(1,5)=69,(0,5)=86,(3,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(3)=3, Add (0,3)=27 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(2)=2, Add (0,2)=35 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(2)=1, Add (1,2)=63 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(2)=1, Find(3)=1, Add (2,3)=63 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=69 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=86 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=93 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,44],[0,2,20],[0,3,61],[0,4,3],[0,5,54],[0,6,2],[0,7,3],[1,2,82],[1,3,83],[1,4,33],[1,5,21],[1,6,35],[1,7,63],[2,3,11],[2,4,22],[2,5,37],[2,6,50],[2,7,45],[3,4,19],[3,6,31],[3,7,80],[4,5,72],[4,6,42],[4,7,64],[5,6,65],[5,7,2],[6,7,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,20],[0,3,61],[0,4,3],[0,5,54],[0,6,2],[0,7,3],[1,2,82],[1,3,83],[1,4,33],[1,5,21],[1,6,35],[1,7,63],[2,3,11],[2,4,22],[2,5,37],[2,6,50],[2,7,45],[3,4,19],[3,6,31],[3,7,80],[4,5,72],[4,6,42],[4,7,64],[5,6,65],[5,7,2],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,20],[0,3,61],[0,4,3],[0,5,54],[0,6,2],[0,7,3],[1,2,82],[1,3,83],[1,4,33],[1,5,21],[1,6,35],[1,7,63],[2,3,11],[2,4,22],[2,5,37],[2,6,50],[2,7,45],[3,4,19],[3,6,31],[3,7,80],[4,5,72],[4,6,42],[4,7,64],[5,6,65],[5,7,2],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (5,7)\",\"Add (0,4)\",\"Add (0,7)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,20],[0,3,61],[0,4,3],[0,5,54],[0,6,2],[0,7,3],[1,2,82],[1,3,83],[1,4,33],[1,5,21],[1,6,35],[1,7,63],[2,3,11],[2,4,22],[2,5,37],[2,6,50],[2,7,45],[3,4,19],[3,6,31],[3,7,80],[4,5,72],[4,6,42],[4,7,64],[5,6,65],[5,7,2],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (5,7)=2, w=4\",\"Add (0,4)=3, w=7\",\"Add (0,7)=3, w=10\",\"Add (2,3)=11, w=21\",\"Add (3,4)=19, w=40\",\"Add (1,5)=21, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,20],[0,3,61],[0,4,3],[0,5,54],[0,6,2],[0,7,3],[1,2,82],[1,3,83],[1,4,33],[1,5,21],[1,6,35],[1,7,63],[2,3,11],[2,4,22],[2,5,37],[2,6,50],[2,7,45],[3,4,19],[3,6,31],[3,7,80],[4,5,72],[4,6,42],[4,7,64],[5,6,65],[5,7,2],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (5,7)=2 Succeeded, w=4\",\"Add (0,4)=3 Succeeded, w=7\",\"Add (0,7)=3 Succeeded, w=10\",\"Add (2,3)=11 Succeeded, w=21\",\"Add (3,4)=19 Succeeded, w=40\",\"Add (0,2)=20 Failed, w=40\",\"Add (1,5)=21 Succeeded, w=61\",\"Add (2,4)=22 Failed, w=61\",\"Add (3,6)=31 Failed, w=61\",\"Add (1,4)=33 Failed, w=61\",\"Add (1,6)=35 Failed, w=61\",\"Add (2,5)=37 Failed, w=61\",\"Add (4,6)=42 Failed, w=61\",\"Add (0,1)=44 Failed, w=61\",\"Add (2,7)=45 Failed, w=61\",\"Add (2,6)=50 Failed, w=61\",\"Add (0,5)=54 Failed, w=61\",\"Add (0,3)=61 Failed, w=61\",\"Add (1,7)=63 Failed, w=61\",\"Add (4,7)=64 Failed, w=61\",\"Add (5,6)=65 Failed, w=61\",\"Add (4,5)=72 Failed, w=61\",\"Add (3,7)=80 Failed, w=61\",\"Add (1,2)=82 Failed, w=61\",\"Add (1,3)=83 Failed, w=61\",\"Add (6,7)=94 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,20],[0,3,61],[0,4,3],[0,5,54],[0,6,2],[0,7,3],[1,2,82],[1,3,83],[1,4,33],[1,5,21],[1,6,35],[1,7,63],[2,3,11],[2,4,22],[2,5,37],[2,6,50],[2,7,45],[3,4,19],[3,6,31],[3,7,80],[4,5,72],[4,6,42],[4,7,64],[5,6,65],[5,7,2],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(5,7)=2,(0,4)=3,(0,7)=3,(2,3)=11,(3,4)=19,(0,2)=20,(1,5)=21,(2,4)=22,(3,6)=31,(1,4)=33,(1,6)=35,(2,5)=37,(4,6)=42,(0,1)=44,(2,7)=45,(2,6)=50,(0,5)=54,(0,3)=61,(1,7)=63,(4,7)=64,(5,6)=65,(4,5)=72,(3,7)=80,(1,2)=82,(1,3)=83,(6,7)=94]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=7\",\"Find(0)=0, Find(7)=5, Add (0,7)=3 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=21\",\"Find(3)=2, Find(4)=0, Add (3,4)=19 Succeeded, w=40\",\"Find(0)=0, Find(2)=0, Add (0,2)=20 Failed, w=40\",\"Find(1)=1, Find(5)=0, Add (1,5)=21 Succeeded, w=61\",\"Find(2)=0, Find(4)=0, Add (2,4)=22 Failed, w=61\",\"Find(3)=0, Find(6)=0, Add (3,6)=31 Failed, w=61\",\"Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=61\",\"Find(1)=0, Find(6)=0, Add (1,6)=35 Failed, w=61\",\"Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=61\",\"Find(4)=0, Find(6)=0, Add (4,6)=42 Failed, w=61\",\"Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=61\",\"Find(2)=0, Find(7)=0, Add (2,7)=45 Failed, w=61\",\"Find(2)=0, Find(6)=0, Add (2,6)=50 Failed, w=61\",\"Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=61\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=61\",\"Find(1)=0, Find(7)=0, Add (1,7)=63 Failed, w=61\",\"Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=61\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=61\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=61\",\"Find(3)=0, Find(7)=0, Add (3,7)=80 Failed, w=61\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=61\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=61\",\"Find(6)=0, Find(7)=0, Add (6,7)=94 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,20],[0,3,61],[0,4,3],[0,5,54],[0,6,2],[0,7,3],[1,2,82],[1,3,83],[1,4,33],[1,5,21],[1,6,35],[1,7,63],[2,3,11],[2,4,22],[2,5,37],[2,6,50],[2,7,45],[3,4,19],[3,6,31],[3,7,80],[4,5,72],[4,6,42],[4,7,64],[5,6,65],[5,7,2],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(5,7)=2,(0,4)=3,(0,7)=3,(2,3)=11,(3,4)=19,(0,2)=20,(1,5)=21,(2,4)=22,(3,6)=31,(1,4)=33,(1,6)=35,(2,5)=37,(4,6)=42,(0,1)=44,(2,7)=45,(2,6)=50,(0,5)=54,(0,3)=61,(1,7)=63,(4,7)=64,(5,6)=65,(4,5)=72,(3,7)=80,(1,2)=82,(1,3)=83,(6,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 5}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=3 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0, 7: 5}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 5}, Find(3)=2, Find(4)=0, Add (3,4)=19 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(2)=0, Add (0,2)=20 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=1, Find(5)=0, Add (1,5)=21 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(4)=0, Add (2,4)=22 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(3)=0, Find(6)=0, Add (3,6)=31 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(6)=0, Add (1,6)=35 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(4)=0, Find(6)=0, Add (4,6)=42 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=61\",\"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)=45 Failed, w=61\",\"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)=50 Failed, w=61\",\"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)=54 Failed, w=61\",\"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)=61 Failed, w=61\",\"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)=63 Failed, w=61\",\"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)=64 Failed, w=61\",\"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)=65 Failed, w=61\",\"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)=72 Failed, w=61\",\"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)=80 Failed, w=61\",\"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)=82 Failed, w=61\",\"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)=83 Failed, w=61\",\"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)=94 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,97],[0,2,1],[0,3,69],[0,4,89],[0,6,100],[1,2,52],[1,3,23],[1,5,12],[1,6,3],[2,3,99],[2,4,36],[2,5,77],[2,6,31],[3,4,6],[3,5,66],[3,6,44],[4,5,99],[4,6,37],[5,6,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,69],[0,4,89],[0,6,100],[1,2,52],[1,3,23],[1,5,12],[1,6,3],[2,3,99],[2,4,36],[2,5,77],[2,6,31],[3,4,6],[3,5,66],[3,6,44],[4,5,99],[4,6,37],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,69],[0,4,89],[0,6,100],[1,2,52],[1,3,23],[1,5,12],[1,6,3],[2,3,99],[2,4,36],[2,5,77],[2,6,31],[3,4,6],[3,5,66],[3,6,44],[4,5,99],[4,6,37],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,6)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (2,6)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,69],[0,4,89],[0,6,100],[1,2,52],[1,3,23],[1,5,12],[1,6,3],[2,3,99],[2,4,36],[2,5,77],[2,6,31],[3,4,6],[3,5,66],[3,6,44],[4,5,99],[4,6,37],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,6)=3, w=4\",\"Add (3,4)=6, w=10\",\"Add (1,5)=12, w=22\",\"Add (1,3)=23, w=45\",\"Add (2,6)=31, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,69],[0,4,89],[0,6,100],[1,2,52],[1,3,23],[1,5,12],[1,6,3],[2,3,99],[2,4,36],[2,5,77],[2,6,31],[3,4,6],[3,5,66],[3,6,44],[4,5,99],[4,6,37],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,6)=3 Succeeded, w=4\",\"Add (3,4)=6 Succeeded, w=10\",\"Add (1,5)=12 Succeeded, w=22\",\"Add (1,3)=23 Succeeded, w=45\",\"Add (2,6)=31 Succeeded, w=76\",\"Add (5,6)=32 Failed, w=76\",\"Add (2,4)=36 Failed, w=76\",\"Add (4,6)=37 Failed, w=76\",\"Add (3,6)=44 Failed, w=76\",\"Add (1,2)=52 Failed, w=76\",\"Add (3,5)=66 Failed, w=76\",\"Add (0,3)=69 Failed, w=76\",\"Add (2,5)=77 Failed, w=76\",\"Add (0,4)=89 Failed, w=76\",\"Add (0,1)=97 Failed, w=76\",\"Add (2,3)=99 Failed, w=76\",\"Add (4,5)=99 Failed, w=76\",\"Add (0,6)=100 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,69],[0,4,89],[0,6,100],[1,2,52],[1,3,23],[1,5,12],[1,6,3],[2,3,99],[2,4,36],[2,5,77],[2,6,31],[3,4,6],[3,5,66],[3,6,44],[4,5,99],[4,6,37],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,6)=3,(3,4)=6,(1,5)=12,(1,3)=23,(2,6)=31,(5,6)=32,(2,4)=36,(4,6)=37,(3,6)=44,(1,2)=52,(3,5)=66,(0,3)=69,(2,5)=77,(0,4)=89,(0,1)=97,(2,3)=99,(4,5)=99,(0,6)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=4\",\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=10\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=45\",\"Find(2)=0, Find(6)=1, Add (2,6)=31 Succeeded, w=76\",\"Find(5)=1, Find(6)=1, Add (5,6)=32 Failed, w=76\",\"Find(2)=1, Find(4)=1, Add (2,4)=36 Failed, w=76\",\"Find(4)=1, Find(6)=1, Add (4,6)=37 Failed, w=76\",\"Find(3)=1, Find(6)=1, Add (3,6)=44 Failed, w=76\",\"Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=76\",\"Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=76\",\"Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=76\",\"Find(2)=1, Find(5)=1, Add (2,5)=77 Failed, w=76\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=76\",\"Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=76\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=76\",\"Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=76\",\"Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,69],[0,4,89],[0,6,100],[1,2,52],[1,3,23],[1,5,12],[1,6,3],[2,3,99],[2,4,36],[2,5,77],[2,6,31],[3,4,6],[3,5,66],[3,6,44],[4,5,99],[4,6,37],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,6)=3,(3,4)=6,(1,5)=12,(1,3)=23,(2,6)=31,(5,6)=32,(2,4)=36,(4,6)=37,(3,6)=44,(1,2)=52,(3,5)=66,(0,3)=69,(2,5)=77,(0,4)=89,(0,1)=97,(2,3)=99,(4,5)=99,(0,6)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 3, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 3, 5: 1, 6: 1}, Find(2)=0, Find(6)=1, Add (2,6)=31 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 3, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=32 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=36 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=37 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=44 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=77 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,99],[0,2,27],[0,3,70],[0,4,30],[0,5,1],[1,2,46],[1,4,100],[1,5,25],[2,4,91],[2,5,52],[3,4,60],[3,5,80],[4,5,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,27],[0,3,70],[0,4,30],[0,5,1],[1,2,46],[1,4,100],[1,5,25],[2,4,91],[2,5,52],[3,4,60],[3,5,80],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,27],[0,3,70],[0,4,30],[0,5,1],[1,2,46],[1,4,100],[1,5,25],[2,4,91],[2,5,52],[3,4,60],[3,5,80],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,27],[0,3,70],[0,4,30],[0,5,1],[1,2,46],[1,4,100],[1,5,25],[2,4,91],[2,5,52],[3,4,60],[3,5,80],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (1,5)=25, w=26\",\"Add (0,2)=27, w=53\",\"Add (0,4)=30, w=83\",\"Add (3,4)=60, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,27],[0,3,70],[0,4,30],[0,5,1],[1,2,46],[1,4,100],[1,5,25],[2,4,91],[2,5,52],[3,4,60],[3,5,80],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (1,5)=25 Succeeded, w=26\",\"Add (0,2)=27 Succeeded, w=53\",\"Add (0,4)=30 Succeeded, w=83\",\"Add (1,2)=46 Failed, w=83\",\"Add (4,5)=51 Failed, w=83\",\"Add (2,5)=52 Failed, w=83\",\"Add (3,4)=60 Succeeded, w=143\",\"Add (0,3)=70 Failed, w=143\",\"Add (3,5)=80 Failed, w=143\",\"Add (2,4)=91 Failed, w=143\",\"Add (0,1)=99 Failed, w=143\",\"Add (1,4)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,27],[0,3,70],[0,4,30],[0,5,1],[1,2,46],[1,4,100],[1,5,25],[2,4,91],[2,5,52],[3,4,60],[3,5,80],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(1,5)=25,(0,2)=27,(0,4)=30,(1,2)=46,(4,5)=51,(2,5)=52,(3,4)=60,(0,3)=70,(3,5)=80,(2,4)=91,(0,1)=99,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=0, Add (1,5)=25 Succeeded, w=26\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=53\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=83\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=83\",\"Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=83\",\"Find(3)=3, Find(4)=0, Add (3,4)=60 Succeeded, w=143\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=143\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=143\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=143\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=143\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,27],[0,3,70],[0,4,30],[0,5,1],[1,2,46],[1,4,100],[1,5,25],[2,4,91],[2,5,52],[3,4,60],[3,5,80],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(1,5)=25,(0,2)=27,(0,4)=30,(1,2)=46,(4,5)=51,(2,5)=52,(3,4)=60,(0,3)=70,(3,5)=80,(2,4)=91,(0,1)=99,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=25 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=60 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,12],[0,2,66],[0,3,25],[0,4,96],[0,5,87],[0,6,6],[0,7,75],[1,3,40],[1,5,48],[2,3,37],[2,5,81],[2,6,25],[2,7,48],[3,4,66],[3,5,92],[3,6,32],[4,5,7],[4,6,6],[4,7,8],[5,6,55],[5,7,14],[6,7,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,66],[0,3,25],[0,4,96],[0,5,87],[0,6,6],[0,7,75],[1,3,40],[1,5,48],[2,3,37],[2,5,81],[2,6,25],[2,7,48],[3,4,66],[3,5,92],[3,6,32],[4,5,7],[4,6,6],[4,7,8],[5,6,55],[5,7,14],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,66],[0,3,25],[0,4,96],[0,5,87],[0,6,6],[0,7,75],[1,3,40],[1,5,48],[2,3,37],[2,5,81],[2,6,25],[2,7,48],[3,4,66],[3,5,92],[3,6,32],[4,5,7],[4,6,6],[4,7,8],[5,6,55],[5,7,14],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (4,7)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,6)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,66],[0,3,25],[0,4,96],[0,5,87],[0,6,6],[0,7,75],[1,3,40],[1,5,48],[2,3,37],[2,5,81],[2,6,25],[2,7,48],[3,4,66],[3,5,92],[3,6,32],[4,5,7],[4,6,6],[4,7,8],[5,6,55],[5,7,14],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6, w=6\",\"Add (4,6)=6, w=12\",\"Add (4,5)=7, w=19\",\"Add (4,7)=8, w=27\",\"Add (0,1)=12, w=39\",\"Add (0,3)=25, w=64\",\"Add (2,6)=25, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,66],[0,3,25],[0,4,96],[0,5,87],[0,6,6],[0,7,75],[1,3,40],[1,5,48],[2,3,37],[2,5,81],[2,6,25],[2,7,48],[3,4,66],[3,5,92],[3,6,32],[4,5,7],[4,6,6],[4,7,8],[5,6,55],[5,7,14],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6 Succeeded, w=6\",\"Add (4,6)=6 Succeeded, w=12\",\"Add (4,5)=7 Succeeded, w=19\",\"Add (4,7)=8 Succeeded, w=27\",\"Add (6,7)=10 Failed, w=27\",\"Add (0,1)=12 Succeeded, w=39\",\"Add (5,7)=14 Failed, w=39\",\"Add (0,3)=25 Succeeded, w=64\",\"Add (2,6)=25 Succeeded, w=89\",\"Add (3,6)=32 Failed, w=89\",\"Add (2,3)=37 Failed, w=89\",\"Add (1,3)=40 Failed, w=89\",\"Add (1,5)=48 Failed, w=89\",\"Add (2,7)=48 Failed, w=89\",\"Add (5,6)=55 Failed, w=89\",\"Add (0,2)=66 Failed, w=89\",\"Add (3,4)=66 Failed, w=89\",\"Add (0,7)=75 Failed, w=89\",\"Add (2,5)=81 Failed, w=89\",\"Add (0,5)=87 Failed, w=89\",\"Add (3,5)=92 Failed, w=89\",\"Add (0,4)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,66],[0,3,25],[0,4,96],[0,5,87],[0,6,6],[0,7,75],[1,3,40],[1,5,48],[2,3,37],[2,5,81],[2,6,25],[2,7,48],[3,4,66],[3,5,92],[3,6,32],[4,5,7],[4,6,6],[4,7,8],[5,6,55],[5,7,14],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(4,6)=6,(4,5)=7,(4,7)=8,(6,7)=10,(0,1)=12,(5,7)=14,(0,3)=25,(2,6)=25,(3,6)=32,(2,3)=37,(1,3)=40,(1,5)=48,(2,7)=48,(5,6)=55,(0,2)=66,(3,4)=66,(0,7)=75,(2,5)=81,(0,5)=87,(3,5)=92,(0,4)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Find(4)=4, Find(6)=0, Add (4,6)=6 Succeeded, w=12\",\"Find(4)=0, Find(5)=5, Add (4,5)=7 Succeeded, w=19\",\"Find(4)=0, Find(7)=7, Add (4,7)=8 Succeeded, w=27\",\"Find(6)=0, Find(7)=0, Add (6,7)=10 Failed, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=39\",\"Find(5)=0, Find(7)=0, Add (5,7)=14 Failed, w=39\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=64\",\"Find(2)=2, Find(6)=0, Add (2,6)=25 Succeeded, w=89\",\"Find(3)=0, Find(6)=0, Add (3,6)=32 Failed, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=89\",\"Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=89\",\"Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=89\",\"Find(2)=0, Find(7)=0, Add (2,7)=48 Failed, w=89\",\"Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=89\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=89\",\"Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=89\",\"Find(0)=0, Find(7)=0, Add (0,7)=75 Failed, w=89\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=89\",\"Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=89\",\"Find(3)=0, Find(5)=0, Add (3,5)=92 Failed, w=89\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,66],[0,3,25],[0,4,96],[0,5,87],[0,6,6],[0,7,75],[1,3,40],[1,5,48],[2,3,37],[2,5,81],[2,6,25],[2,7,48],[3,4,66],[3,5,92],[3,6,32],[4,5,7],[4,6,6],[4,7,8],[5,6,55],[5,7,14],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(4,6)=6,(4,5)=7,(4,7)=8,(6,7)=10,(0,1)=12,(5,7)=14,(0,3)=25,(2,6)=25,(3,6)=32,(2,3)=37,(1,3)=40,(1,5)=48,(2,7)=48,(5,6)=55,(0,2)=66,(3,4)=66,(0,7)=75,(2,5)=81,(0,5)=87,(3,5)=92,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(4)=4, Find(6)=0, Add (4,6)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=7 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=8 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=10 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=14 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(6)=0, Add (2,6)=25 Succeeded, w=89\",\"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)=32 Failed, w=89\",\"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)=37 Failed, w=89\",\"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)=40 Failed, w=89\",\"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=89\",\"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)=48 Failed, w=89\",\"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)=55 Failed, w=89\",\"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)=66 Failed, w=89\",\"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)=66 Failed, w=89\",\"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=89\",\"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)=81 Failed, w=89\",\"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)=87 Failed, w=89\",\"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)=92 Failed, w=89\",\"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)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,3,7],[0,4,0],[0,5,41],[0,6,25],[0,7,8],[1,2,85],[1,3,46],[1,7,54],[2,5,59],[2,7,36],[3,4,55],[3,5,93],[4,5,61],[4,6,71],[4,7,83],[5,7,71],[6,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,7],[0,4,0],[0,5,41],[0,6,25],[0,7,8],[1,2,85],[1,3,46],[1,7,54],[2,5,59],[2,7,36],[3,4,55],[3,5,93],[4,5,61],[4,6,71],[4,7,83],[5,7,71],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,7],[0,4,0],[0,5,41],[0,6,25],[0,7,8],[1,2,85],[1,3,46],[1,7,54],[2,5,59],[2,7,36],[3,4,55],[3,5,93],[4,5,61],[4,6,71],[4,7,83],[5,7,71],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (0,7)\",\"Add (6,7)\",\"Add (2,7)\",\"Add (0,5)\",\"Add (1,3)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,7],[0,4,0],[0,5,41],[0,6,25],[0,7,8],[1,2,85],[1,3,46],[1,7,54],[2,5,59],[2,7,36],[3,4,55],[3,5,93],[4,5,61],[4,6,71],[4,7,83],[5,7,71],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (0,3)=7, w=7\",\"Add (0,7)=8, w=15\",\"Add (6,7)=22, w=37\",\"Add (2,7)=36, w=73\",\"Add (0,5)=41, w=114\",\"Add (1,3)=46, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,7],[0,4,0],[0,5,41],[0,6,25],[0,7,8],[1,2,85],[1,3,46],[1,7,54],[2,5,59],[2,7,36],[3,4,55],[3,5,93],[4,5,61],[4,6,71],[4,7,83],[5,7,71],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,7)=8 Succeeded, w=15\",\"Add (6,7)=22 Succeeded, w=37\",\"Add (0,6)=25 Failed, w=37\",\"Add (2,7)=36 Succeeded, w=73\",\"Add (0,5)=41 Succeeded, w=114\",\"Add (1,3)=46 Succeeded, w=160\",\"Add (0,1)=48 Failed, w=160\",\"Add (1,7)=54 Failed, w=160\",\"Add (3,4)=55 Failed, w=160\",\"Add (2,5)=59 Failed, w=160\",\"Add (4,5)=61 Failed, w=160\",\"Add (4,6)=71 Failed, w=160\",\"Add (5,7)=71 Failed, w=160\",\"Add (4,7)=83 Failed, w=160\",\"Add (1,2)=85 Failed, w=160\",\"Add (3,5)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,7],[0,4,0],[0,5,41],[0,6,25],[0,7,8],[1,2,85],[1,3,46],[1,7,54],[2,5,59],[2,7,36],[3,4,55],[3,5,93],[4,5,61],[4,6,71],[4,7,83],[5,7,71],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,3)=7,(0,7)=8,(6,7)=22,(0,6)=25,(2,7)=36,(0,5)=41,(1,3)=46,(0,1)=48,(1,7)=54,(3,4)=55,(2,5)=59,(4,5)=61,(4,6)=71,(5,7)=71,(4,7)=83,(1,2)=85,(3,5)=93]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=15\",\"Find(6)=6, Find(7)=0, Add (6,7)=22 Succeeded, w=37\",\"Find(0)=0, Find(6)=0, Add (0,6)=25 Failed, w=37\",\"Find(2)=2, Find(7)=0, Add (2,7)=36 Succeeded, w=73\",\"Find(0)=0, Find(5)=5, Add (0,5)=41 Succeeded, w=114\",\"Find(1)=1, Find(3)=0, Add (1,3)=46 Succeeded, w=160\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=160\",\"Find(1)=0, Find(7)=0, Add (1,7)=54 Failed, w=160\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=160\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=160\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=160\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=160\",\"Find(5)=0, Find(7)=0, Add (5,7)=71 Failed, w=160\",\"Find(4)=0, Find(7)=0, Add (4,7)=83 Failed, w=160\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=160\",\"Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,7],[0,4,0],[0,5,41],[0,6,25],[0,7,8],[1,2,85],[1,3,46],[1,7,54],[2,5,59],[2,7,36],[3,4,55],[3,5,93],[4,5,61],[4,6,71],[4,7,83],[5,7,71],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,3)=7,(0,7)=8,(6,7)=22,(0,6)=25,(2,7)=36,(0,5)=41,(1,3)=46,(0,1)=48,(1,7)=54,(3,4)=55,(2,5)=59,(4,5)=61,(4,6)=71,(5,7)=71,(4,7)=83,(1,2)=85,(3,5)=93]\",\"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(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=22 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=25 Failed, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=36 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=41 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=46 Succeeded, w=160\",\"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)=48 Failed, w=160\",\"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)=54 Failed, w=160\",\"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)=55 Failed, w=160\",\"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)=59 Failed, w=160\",\"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)=61 Failed, w=160\",\"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)=71 Failed, w=160\",\"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)=71 Failed, w=160\",\"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)=83 Failed, w=160\",\"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)=85 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,74],[0,2,49],[0,4,80],[0,6,66],[1,2,84],[1,3,47],[1,4,36],[1,5,73],[1,6,28],[2,3,100],[2,4,71],[2,5,34],[2,6,78],[3,4,79],[3,5,54],[3,6,92],[4,5,33],[4,6,14],[5,6,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,49],[0,4,80],[0,6,66],[1,2,84],[1,3,47],[1,4,36],[1,5,73],[1,6,28],[2,3,100],[2,4,71],[2,5,34],[2,6,78],[3,4,79],[3,5,54],[3,6,92],[4,5,33],[4,6,14],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,49],[0,4,80],[0,6,66],[1,2,84],[1,3,47],[1,4,36],[1,5,73],[1,6,28],[2,3,100],[2,4,71],[2,5,34],[2,6,78],[3,4,79],[3,5,54],[3,6,92],[4,5,33],[4,6,14],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,49],[0,4,80],[0,6,66],[1,2,84],[1,3,47],[1,4,36],[1,5,73],[1,6,28],[2,3,100],[2,4,71],[2,5,34],[2,6,78],[3,4,79],[3,5,54],[3,6,92],[4,5,33],[4,6,14],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=14, w=14\",\"Add (1,6)=28, w=42\",\"Add (4,5)=33, w=75\",\"Add (2,5)=34, w=109\",\"Add (1,3)=47, w=156\",\"Add (0,2)=49, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,49],[0,4,80],[0,6,66],[1,2,84],[1,3,47],[1,4,36],[1,5,73],[1,6,28],[2,3,100],[2,4,71],[2,5,34],[2,6,78],[3,4,79],[3,5,54],[3,6,92],[4,5,33],[4,6,14],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=14 Succeeded, w=14\",\"Add (1,6)=28 Succeeded, w=42\",\"Add (4,5)=33 Succeeded, w=75\",\"Add (2,5)=34 Succeeded, w=109\",\"Add (1,4)=36 Failed, w=109\",\"Add (1,3)=47 Succeeded, w=156\",\"Add (0,2)=49 Succeeded, w=205\",\"Add (3,5)=54 Failed, w=205\",\"Add (0,6)=66 Failed, w=205\",\"Add (2,4)=71 Failed, w=205\",\"Add (1,5)=73 Failed, w=205\",\"Add (0,1)=74 Failed, w=205\",\"Add (2,6)=78 Failed, w=205\",\"Add (3,4)=79 Failed, w=205\",\"Add (0,4)=80 Failed, w=205\",\"Add (1,2)=84 Failed, w=205\",\"Add (5,6)=87 Failed, w=205\",\"Add (3,6)=92 Failed, w=205\",\"Add (2,3)=100 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,49],[0,4,80],[0,6,66],[1,2,84],[1,3,47],[1,4,36],[1,5,73],[1,6,28],[2,3,100],[2,4,71],[2,5,34],[2,6,78],[3,4,79],[3,5,54],[3,6,92],[4,5,33],[4,6,14],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=14,(1,6)=28,(4,5)=33,(2,5)=34,(1,4)=36,(1,3)=47,(0,2)=49,(3,5)=54,(0,6)=66,(2,4)=71,(1,5)=73,(0,1)=74,(2,6)=78,(3,4)=79,(0,4)=80,(1,2)=84,(5,6)=87,(3,6)=92,(2,3)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=14 Succeeded, w=14\",\"Find(1)=1, Find(6)=4, Add (1,6)=28 Succeeded, w=42\",\"Find(4)=4, Find(5)=5, Add (4,5)=33 Succeeded, w=75\",\"Find(2)=2, Find(5)=4, Add (2,5)=34 Succeeded, w=109\",\"Find(1)=4, Find(4)=4, Add (1,4)=36 Failed, w=109\",\"Find(1)=4, Find(3)=3, Add (1,3)=47 Succeeded, w=156\",\"Find(0)=0, Find(2)=4, Add (0,2)=49 Succeeded, w=205\",\"Find(3)=4, Find(5)=4, Add (3,5)=54 Failed, w=205\",\"Find(0)=4, Find(6)=4, Add (0,6)=66 Failed, w=205\",\"Find(2)=4, Find(4)=4, Add (2,4)=71 Failed, w=205\",\"Find(1)=4, Find(5)=4, Add (1,5)=73 Failed, w=205\",\"Find(0)=4, Find(1)=4, Add (0,1)=74 Failed, w=205\",\"Find(2)=4, Find(6)=4, Add (2,6)=78 Failed, w=205\",\"Find(3)=4, Find(4)=4, Add (3,4)=79 Failed, w=205\",\"Find(0)=4, Find(4)=4, Add (0,4)=80 Failed, w=205\",\"Find(1)=4, Find(2)=4, Add (1,2)=84 Failed, w=205\",\"Find(5)=4, Find(6)=4, Add (5,6)=87 Failed, w=205\",\"Find(3)=4, Find(6)=4, Add (3,6)=92 Failed, w=205\",\"Find(2)=4, Find(3)=4, Add (2,3)=100 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,49],[0,4,80],[0,6,66],[1,2,84],[1,3,47],[1,4,36],[1,5,73],[1,6,28],[2,3,100],[2,4,71],[2,5,34],[2,6,78],[3,4,79],[3,5,54],[3,6,92],[4,5,33],[4,6,14],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=14,(1,6)=28,(4,5)=33,(2,5)=34,(1,4)=36,(1,3)=47,(0,2)=49,(3,5)=54,(0,6)=66,(2,4)=71,(1,5)=73,(0,1)=74,(2,6)=78,(3,4)=79,(0,4)=80,(1,2)=84,(5,6)=87,(3,6)=92,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=28 Succeeded, w=42\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=5, Add (4,5)=33 Succeeded, w=75\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(5)=4, Add (2,5)=34 Succeeded, w=109\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=36 Failed, w=109\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=3, Add (1,3)=47 Succeeded, w=156\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(2)=4, Add (0,2)=49 Succeeded, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=54 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=66 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=71 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=73 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=74 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=78 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=79 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=80 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=84 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=87 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=92 Failed, w=205\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=100 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,59],[1,3,43],[2,3,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[1,3,43],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[1,3,43],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[1,3,43],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=43, w=43\",\"Add (1,2)=59, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[1,3,43],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=43 Succeeded, w=43\",\"Add (1,2)=59 Succeeded, w=102\",\"Add (2,3)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[1,3,43],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=43,(1,2)=59,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=43\",\"Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=102\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[1,3,43],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=43,(1,2)=59,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=102\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,16],[0,2,88],[0,3,49],[0,4,63],[0,5,24],[0,6,88],[1,2,36],[1,3,53],[1,4,75],[1,5,5],[1,6,4],[2,3,47],[2,4,13],[2,5,29],[3,4,37],[3,5,95],[3,6,13],[4,5,46],[4,6,54],[5,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,88],[0,3,49],[0,4,63],[0,5,24],[0,6,88],[1,2,36],[1,3,53],[1,4,75],[1,5,5],[1,6,4],[2,3,47],[2,4,13],[2,5,29],[3,4,37],[3,5,95],[3,6,13],[4,5,46],[4,6,54],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,88],[0,3,49],[0,4,63],[0,5,24],[0,6,88],[1,2,36],[1,3,53],[1,4,75],[1,5,5],[1,6,4],[2,3,47],[2,4,13],[2,5,29],[3,4,37],[3,5,95],[3,6,13],[4,5,46],[4,6,54],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,88],[0,3,49],[0,4,63],[0,5,24],[0,6,88],[1,2,36],[1,3,53],[1,4,75],[1,5,5],[1,6,4],[2,3,47],[2,4,13],[2,5,29],[3,4,37],[3,5,95],[3,6,13],[4,5,46],[4,6,54],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (1,5)=5, w=9\",\"Add (2,4)=13, w=22\",\"Add (3,6)=13, w=35\",\"Add (0,1)=16, w=51\",\"Add (2,5)=29, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,88],[0,3,49],[0,4,63],[0,5,24],[0,6,88],[1,2,36],[1,3,53],[1,4,75],[1,5,5],[1,6,4],[2,3,47],[2,4,13],[2,5,29],[3,4,37],[3,5,95],[3,6,13],[4,5,46],[4,6,54],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (1,5)=5 Succeeded, w=9\",\"Add (5,6)=12 Failed, w=9\",\"Add (2,4)=13 Succeeded, w=22\",\"Add (3,6)=13 Succeeded, w=35\",\"Add (0,1)=16 Succeeded, w=51\",\"Add (0,5)=24 Failed, w=51\",\"Add (2,5)=29 Succeeded, w=80\",\"Add (1,2)=36 Failed, w=80\",\"Add (3,4)=37 Failed, w=80\",\"Add (4,5)=46 Failed, w=80\",\"Add (2,3)=47 Failed, w=80\",\"Add (0,3)=49 Failed, w=80\",\"Add (1,3)=53 Failed, w=80\",\"Add (4,6)=54 Failed, w=80\",\"Add (0,4)=63 Failed, w=80\",\"Add (1,4)=75 Failed, w=80\",\"Add (0,2)=88 Failed, w=80\",\"Add (0,6)=88 Failed, w=80\",\"Add (3,5)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,88],[0,3,49],[0,4,63],[0,5,24],[0,6,88],[1,2,36],[1,3,53],[1,4,75],[1,5,5],[1,6,4],[2,3,47],[2,4,13],[2,5,29],[3,4,37],[3,5,95],[3,6,13],[4,5,46],[4,6,54],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(1,5)=5,(5,6)=12,(2,4)=13,(3,6)=13,(0,1)=16,(0,5)=24,(2,5)=29,(1,2)=36,(3,4)=37,(4,5)=46,(2,3)=47,(0,3)=49,(1,3)=53,(4,6)=54,(0,4)=63,(1,4)=75,(0,2)=88,(0,6)=88,(3,5)=95]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Find(5)=1, Find(6)=1, Add (5,6)=12 Failed, w=9\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=22\",\"Find(3)=3, Find(6)=1, Add (3,6)=13 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=51\",\"Find(0)=1, Find(5)=1, Add (0,5)=24 Failed, w=51\",\"Find(2)=2, Find(5)=1, Add (2,5)=29 Succeeded, w=80\",\"Find(1)=2, Find(2)=2, Add (1,2)=36 Failed, w=80\",\"Find(3)=2, Find(4)=2, Add (3,4)=37 Failed, w=80\",\"Find(4)=2, Find(5)=2, Add (4,5)=46 Failed, w=80\",\"Find(2)=2, Find(3)=2, Add (2,3)=47 Failed, w=80\",\"Find(0)=2, Find(3)=2, Add (0,3)=49 Failed, w=80\",\"Find(1)=2, Find(3)=2, Add (1,3)=53 Failed, w=80\",\"Find(4)=2, Find(6)=2, Add (4,6)=54 Failed, w=80\",\"Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=80\",\"Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=80\",\"Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=80\",\"Find(0)=2, Find(6)=2, Add (0,6)=88 Failed, w=80\",\"Find(3)=2, Find(5)=2, Add (3,5)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,88],[0,3,49],[0,4,63],[0,5,24],[0,6,88],[1,2,36],[1,3,53],[1,4,75],[1,5,5],[1,6,4],[2,3,47],[2,4,13],[2,5,29],[3,4,37],[3,5,95],[3,6,13],[4,5,46],[4,6,54],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(1,5)=5,(5,6)=12,(2,4)=13,(3,6)=13,(0,1)=16,(0,5)=24,(2,5)=29,(1,2)=36,(3,4)=37,(4,5)=46,(2,3)=47,(0,3)=49,(1,3)=53,(4,6)=54,(0,4)=63,(1,4)=75,(0,2)=88,(0,6)=88,(3,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=12 Failed, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=13 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=24 Failed, w=51\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(2)=2, Find(5)=1, Add (2,5)=29 Succeeded, w=80\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(1)=2, Find(2)=2, Add (1,2)=36 Failed, w=80\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 1}, Find(3)=2, Find(4)=2, Add (3,4)=37 Failed, w=80\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(4)=2, Find(5)=2, Add (4,5)=46 Failed, w=80\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(2)=2, Find(3)=2, Add (2,3)=47 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(0)=2, Find(3)=2, Add (0,3)=49 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(1)=2, Find(3)=2, Add (1,3)=53 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=54 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=88 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,76],[0,4,25],[1,3,81],[1,4,70],[1,5,88],[2,3,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,25],[1,3,81],[1,4,70],[1,5,88],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,25],[1,3,81],[1,4,70],[1,5,88],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,25],[1,3,81],[1,4,70],[1,5,88],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=25, w=25\",\"Add (2,3)=62, w=87\",\"Add (1,4)=70, w=157\",\"Add (0,2)=76, w=233\",\"Add (1,5)=88, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,25],[1,3,81],[1,4,70],[1,5,88],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=25 Succeeded, w=25\",\"Add (2,3)=62 Succeeded, w=87\",\"Add (1,4)=70 Succeeded, w=157\",\"Add (0,2)=76 Succeeded, w=233\",\"Add (1,3)=81 Failed, w=233\",\"Add (1,5)=88 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,25],[1,3,81],[1,4,70],[1,5,88],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=25,(2,3)=62,(1,4)=70,(0,2)=76,(1,3)=81,(1,5)=88]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=25\",\"Find(2)=2, Find(3)=3, Add (2,3)=62 Succeeded, w=87\",\"Find(1)=1, Find(4)=0, Add (1,4)=70 Succeeded, w=157\",\"Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=233\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=233\",\"Find(1)=0, Find(5)=5, Add (1,5)=88 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,25],[1,3,81],[1,4,70],[1,5,88],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=25,(2,3)=62,(1,4)=70,(0,2)=76,(1,3)=81,(1,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=62 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=70 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=88 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,76],[0,3,74],[0,4,25],[1,3,2],[2,3,60],[2,4,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,74],[0,4,25],[1,3,2],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,74],[0,4,25],[1,3,2],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,74],[0,4,25],[1,3,2],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,4)=25, w=27\",\"Add (2,3)=60, w=87\",\"Add (0,3)=74, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,74],[0,4,25],[1,3,2],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,4)=25 Succeeded, w=27\",\"Add (2,3)=60 Succeeded, w=87\",\"Add (0,3)=74 Succeeded, w=161\",\"Add (0,2)=76 Failed, w=161\",\"Add (2,4)=78 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,74],[0,4,25],[1,3,2],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,4)=25,(2,3)=60,(0,3)=74,(0,2)=76,(2,4)=78]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=27\",\"Find(2)=2, Find(3)=1, Add (2,3)=60 Succeeded, w=87\",\"Find(0)=0, Find(3)=1, Add (0,3)=74 Succeeded, w=161\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=161\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,74],[0,4,25],[1,3,2],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,4)=25,(2,3)=60,(0,3)=74,(0,2)=76,(2,4)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=2, Find(3)=1, Add (2,3)=60 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=74 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,51],[0,2,77],[0,3,82],[0,4,90],[0,5,18],[0,6,63],[1,2,65],[1,3,55],[1,4,99],[1,5,42],[1,6,75],[2,3,82],[2,4,27],[2,5,96],[2,6,57],[3,4,86],[3,5,46],[3,6,58],[4,5,34],[4,6,97],[5,6,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,77],[0,3,82],[0,4,90],[0,5,18],[0,6,63],[1,2,65],[1,3,55],[1,4,99],[1,5,42],[1,6,75],[2,3,82],[2,4,27],[2,5,96],[2,6,57],[3,4,86],[3,5,46],[3,6,58],[4,5,34],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,77],[0,3,82],[0,4,90],[0,5,18],[0,6,63],[1,2,65],[1,3,55],[1,4,99],[1,5,42],[1,6,75],[2,3,82],[2,4,27],[2,5,96],[2,6,57],[3,4,86],[3,5,46],[3,6,58],[4,5,34],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (2,6)\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,77],[0,3,82],[0,4,90],[0,5,18],[0,6,63],[1,2,65],[1,3,55],[1,4,99],[1,5,42],[1,6,75],[2,3,82],[2,4,27],[2,5,96],[2,6,57],[3,4,86],[3,5,46],[3,6,58],[4,5,34],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=18, w=18\",\"Add (2,4)=27, w=45\",\"Add (4,5)=34, w=79\",\"Add (1,5)=42, w=121\",\"Add (3,5)=46, w=167\",\"Add (2,6)=57, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,77],[0,3,82],[0,4,90],[0,5,18],[0,6,63],[1,2,65],[1,3,55],[1,4,99],[1,5,42],[1,6,75],[2,3,82],[2,4,27],[2,5,96],[2,6,57],[3,4,86],[3,5,46],[3,6,58],[4,5,34],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=18 Succeeded, w=18\",\"Add (2,4)=27 Succeeded, w=45\",\"Add (4,5)=34 Succeeded, w=79\",\"Add (1,5)=42 Succeeded, w=121\",\"Add (3,5)=46 Succeeded, w=167\",\"Add (0,1)=51 Failed, w=167\",\"Add (1,3)=55 Failed, w=167\",\"Add (2,6)=57 Succeeded, w=224\",\"Add (3,6)=58 Failed, w=224\",\"Add (0,6)=63 Failed, w=224\",\"Add (1,2)=65 Failed, w=224\",\"Add (1,6)=75 Failed, w=224\",\"Add (0,2)=77 Failed, w=224\",\"Add (0,3)=82 Failed, w=224\",\"Add (2,3)=82 Failed, w=224\",\"Add (3,4)=86 Failed, w=224\",\"Add (0,4)=90 Failed, w=224\",\"Add (2,5)=96 Failed, w=224\",\"Add (5,6)=96 Failed, w=224\",\"Add (4,6)=97 Failed, w=224\",\"Add (1,4)=99 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,77],[0,3,82],[0,4,90],[0,5,18],[0,6,63],[1,2,65],[1,3,55],[1,4,99],[1,5,42],[1,6,75],[2,3,82],[2,4,27],[2,5,96],[2,6,57],[3,4,86],[3,5,46],[3,6,58],[4,5,34],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=18,(2,4)=27,(4,5)=34,(1,5)=42,(3,5)=46,(0,1)=51,(1,3)=55,(2,6)=57,(3,6)=58,(0,6)=63,(1,2)=65,(1,6)=75,(0,2)=77,(0,3)=82,(2,3)=82,(3,4)=86,(0,4)=90,(2,5)=96,(5,6)=96,(4,6)=97,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=18\",\"Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=45\",\"Find(4)=2, Find(5)=0, Add (4,5)=34 Succeeded, w=79\",\"Find(1)=1, Find(5)=2, Add (1,5)=42 Succeeded, w=121\",\"Find(3)=3, Find(5)=2, Add (3,5)=46 Succeeded, w=167\",\"Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=167\",\"Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=167\",\"Find(2)=2, Find(6)=6, Add (2,6)=57 Succeeded, w=224\",\"Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=224\",\"Find(0)=2, Find(6)=2, Add (0,6)=63 Failed, w=224\",\"Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=224\",\"Find(1)=2, Find(6)=2, Add (1,6)=75 Failed, w=224\",\"Find(0)=2, Find(2)=2, Add (0,2)=77 Failed, w=224\",\"Find(0)=2, Find(3)=2, Add (0,3)=82 Failed, w=224\",\"Find(2)=2, Find(3)=2, Add (2,3)=82 Failed, w=224\",\"Find(3)=2, Find(4)=2, Add (3,4)=86 Failed, w=224\",\"Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=224\",\"Find(2)=2, Find(5)=2, Add (2,5)=96 Failed, w=224\",\"Find(5)=2, Find(6)=2, Add (5,6)=96 Failed, w=224\",\"Find(4)=2, Find(6)=2, Add (4,6)=97 Failed, w=224\",\"Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,77],[0,3,82],[0,4,90],[0,5,18],[0,6,63],[1,2,65],[1,3,55],[1,4,99],[1,5,42],[1,6,75],[2,3,82],[2,4,27],[2,5,96],[2,6,57],[3,4,86],[3,5,46],[3,6,58],[4,5,34],[4,6,97],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=18,(2,4)=27,(4,5)=34,(1,5)=42,(3,5)=46,(0,1)=51,(1,3)=55,(2,6)=57,(3,6)=58,(0,6)=63,(1,2)=65,(1,6)=75,(0,2)=77,(0,3)=82,(2,3)=82,(3,4)=86,(0,4)=90,(2,5)=96,(5,6)=96,(4,6)=97,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 6}, Find(4)=2, Find(5)=0, Add (4,5)=34 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=42 Succeeded, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(3)=3, Find(5)=2, Add (3,5)=46 Succeeded, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=57 Succeeded, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=63 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=75 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=77 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=82 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=82 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=86 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=96 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=96 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=97 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,4,69],[0,5,16],[1,2,80],[1,5,88],[1,7,83],[2,3,3],[2,5,52],[2,7,25],[3,5,76],[4,5,78],[4,6,69],[5,6,96],[5,7,74],[6,7,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,4,69],[0,5,16],[1,2,80],[1,5,88],[1,7,83],[2,3,3],[2,5,52],[2,7,25],[3,5,76],[4,5,78],[4,6,69],[5,6,96],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,4,69],[0,5,16],[1,2,80],[1,5,88],[1,7,83],[2,3,3],[2,5,52],[2,7,25],[3,5,76],[4,5,78],[4,6,69],[5,6,96],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (2,7)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (0,4)\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,4,69],[0,5,16],[1,2,80],[1,5,88],[1,7,83],[2,3,3],[2,5,52],[2,7,25],[3,5,76],[4,5,78],[4,6,69],[5,6,96],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,5)=16, w=19\",\"Add (6,7)=23, w=42\",\"Add (2,7)=25, w=67\",\"Add (0,1)=41, w=108\",\"Add (2,5)=52, w=160\",\"Add (0,4)=69, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,4,69],[0,5,16],[1,2,80],[1,5,88],[1,7,83],[2,3,3],[2,5,52],[2,7,25],[3,5,76],[4,5,78],[4,6,69],[5,6,96],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,5)=16 Succeeded, w=19\",\"Add (6,7)=23 Succeeded, w=42\",\"Add (2,7)=25 Succeeded, w=67\",\"Add (0,1)=41 Succeeded, w=108\",\"Add (2,5)=52 Succeeded, w=160\",\"Add (0,4)=69 Succeeded, w=229\",\"Add (4,6)=69 Failed, w=229\",\"Add (5,7)=74 Failed, w=229\",\"Add (3,5)=76 Failed, w=229\",\"Add (4,5)=78 Failed, w=229\",\"Add (1,2)=80 Failed, w=229\",\"Add (1,7)=83 Failed, w=229\",\"Add (1,5)=88 Failed, w=229\",\"Add (5,6)=96 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,4,69],[0,5,16],[1,2,80],[1,5,88],[1,7,83],[2,3,3],[2,5,52],[2,7,25],[3,5,76],[4,5,78],[4,6,69],[5,6,96],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,5)=16,(6,7)=23,(2,7)=25,(0,1)=41,(2,5)=52,(0,4)=69,(4,6)=69,(5,7)=74,(3,5)=76,(4,5)=78,(1,2)=80,(1,7)=83,(1,5)=88,(5,6)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=19\",\"Find(6)=6, Find(7)=7, Add (6,7)=23 Succeeded, w=42\",\"Find(2)=2, Find(7)=6, Add (2,7)=25 Succeeded, w=67\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=108\",\"Find(2)=2, Find(5)=0, Add (2,5)=52 Succeeded, w=160\",\"Find(0)=2, Find(4)=4, Add (0,4)=69 Succeeded, w=229\",\"Find(4)=2, Find(6)=2, Add (4,6)=69 Failed, w=229\",\"Find(5)=2, Find(7)=2, Add (5,7)=74 Failed, w=229\",\"Find(3)=2, Find(5)=2, Add (3,5)=76 Failed, w=229\",\"Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=229\",\"Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=229\",\"Find(1)=2, Find(7)=2, Add (1,7)=83 Failed, w=229\",\"Find(1)=2, Find(5)=2, Add (1,5)=88 Failed, w=229\",\"Find(5)=2, Find(6)=2, Add (5,6)=96 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,4,69],[0,5,16],[1,2,80],[1,5,88],[1,7,83],[2,3,3],[2,5,52],[2,7,25],[3,5,76],[4,5,78],[4,6,69],[5,6,96],[5,7,74],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,5)=16,(6,7)=23,(2,7)=25,(0,1)=41,(2,5)=52,(0,4)=69,(4,6)=69,(5,7)=74,(3,5)=76,(4,5)=78,(1,2)=80,(1,7)=83,(1,5)=88,(5,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=23 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 2, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=25 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 2, 7: 6}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=108\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 2, 7: 6}, Find(2)=2, Find(5)=0, Add (2,5)=52 Succeeded, w=160\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 6}, Find(0)=2, Find(4)=4, Add (0,4)=69 Succeeded, w=229\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 6}, Find(4)=2, Find(6)=2, Add (4,6)=69 Failed, w=229\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=74 Failed, w=229\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=76 Failed, w=229\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=229\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=229\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=83 Failed, w=229\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=88 Failed, w=229\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=96 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,2,49],[0,3,71],[0,4,73],[0,5,54],[1,2,30],[1,3,4],[2,3,15],[2,4,13],[2,5,6],[4,5,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,49],[0,3,71],[0,4,73],[0,5,54],[1,2,30],[1,3,4],[2,3,15],[2,4,13],[2,5,6],[4,5,74]]}",
"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],\"edges\":[[0,1,68],[0,2,49],[0,3,71],[0,4,73],[0,5,54],[1,2,30],[1,3,4],[2,3,15],[2,4,13],[2,5,6],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,49],[0,3,71],[0,4,73],[0,5,54],[1,2,30],[1,3,4],[2,3,15],[2,4,13],[2,5,6],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (2,5)=6, w=10\",\"Add (2,4)=13, w=23\",\"Add (2,3)=15, w=38\",\"Add (0,2)=49, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,49],[0,3,71],[0,4,73],[0,5,54],[1,2,30],[1,3,4],[2,3,15],[2,4,13],[2,5,6],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (2,5)=6 Succeeded, w=10\",\"Add (2,4)=13 Succeeded, w=23\",\"Add (2,3)=15 Succeeded, w=38\",\"Add (1,2)=30 Failed, w=38\",\"Add (0,2)=49 Succeeded, w=87\",\"Add (0,5)=54 Failed, w=87\",\"Add (0,1)=68 Failed, w=87\",\"Add (0,3)=71 Failed, w=87\",\"Add (0,4)=73 Failed, w=87\",\"Add (4,5)=74 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],\"edges\":[[0,1,68],[0,2,49],[0,3,71],[0,4,73],[0,5,54],[1,2,30],[1,3,4],[2,3,15],[2,4,13],[2,5,6],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,5)=6,(2,4)=13,(2,3)=15,(1,2)=30,(0,2)=49,(0,5)=54,(0,1)=68,(0,3)=71,(0,4)=73,(4,5)=74]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=23\",\"Find(2)=2, Find(3)=1, Add (2,3)=15 Succeeded, w=38\",\"Find(1)=2, Find(2)=2, Add (1,2)=30 Failed, w=38\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=87\",\"Find(0)=2, Find(5)=2, Add (0,5)=54 Failed, w=87\",\"Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=87\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=87\",\"Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=87\",\"Find(4)=2, Find(5)=2, Add (4,5)=74 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],\"edges\":[[0,1,68],[0,2,49],[0,3,71],[0,4,73],[0,5,54],[1,2,30],[1,3,4],[2,3,15],[2,4,13],[2,5,6],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(2,5)=6,(2,4)=13,(2,3)=15,(1,2)=30,(0,2)=49,(0,5)=54,(0,1)=68,(0,3)=71,(0,4)=73,(4,5)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(3)=1, Add (2,3)=15 Succeeded, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=30 Failed, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=54 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=74 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,2,51],[0,3,41],[0,4,13],[0,5,68],[0,6,95],[0,7,99],[1,2,5],[1,3,31],[1,4,81],[1,5,76],[1,6,99],[1,7,93],[2,3,28],[2,4,34],[2,5,74],[2,6,71],[2,7,39],[3,5,56],[3,6,24],[3,7,37],[4,5,44],[4,6,18],[4,7,80],[5,6,5],[5,7,14],[6,7,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,51],[0,3,41],[0,4,13],[0,5,68],[0,6,95],[0,7,99],[1,2,5],[1,3,31],[1,4,81],[1,5,76],[1,6,99],[1,7,93],[2,3,28],[2,4,34],[2,5,74],[2,6,71],[2,7,39],[3,5,56],[3,6,24],[3,7,37],[4,5,44],[4,6,18],[4,7,80],[5,6,5],[5,7,14],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,51],[0,3,41],[0,4,13],[0,5,68],[0,6,95],[0,7,99],[1,2,5],[1,3,31],[1,4,81],[1,5,76],[1,6,99],[1,7,93],[2,3,28],[2,4,34],[2,5,74],[2,6,71],[2,7,39],[3,5,56],[3,6,24],[3,7,37],[4,5,44],[4,6,18],[4,7,80],[5,6,5],[5,7,14],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (3,6)\"],\"Answer\":89}",
"role": "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],[0,2,51],[0,3,41],[0,4,13],[0,5,68],[0,6,95],[0,7,99],[1,2,5],[1,3,31],[1,4,81],[1,5,76],[1,6,99],[1,7,93],[2,3,28],[2,4,34],[2,5,74],[2,6,71],[2,7,39],[3,5,56],[3,6,24],[3,7,37],[4,5,44],[4,6,18],[4,7,80],[5,6,5],[5,7,14],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (5,6)=5, w=10\",\"Add (0,1)=10, w=20\",\"Add (0,4)=13, w=33\",\"Add (5,7)=14, w=47\",\"Add (4,6)=18, w=65\",\"Add (3,6)=24, w=89\"],\"Answer\":89}",
"role": "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],[0,2,51],[0,3,41],[0,4,13],[0,5,68],[0,6,95],[0,7,99],[1,2,5],[1,3,31],[1,4,81],[1,5,76],[1,6,99],[1,7,93],[2,3,28],[2,4,34],[2,5,74],[2,6,71],[2,7,39],[3,5,56],[3,6,24],[3,7,37],[4,5,44],[4,6,18],[4,7,80],[5,6,5],[5,7,14],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (5,6)=5 Succeeded, w=10\",\"Add (0,1)=10 Succeeded, w=20\",\"Add (0,4)=13 Succeeded, w=33\",\"Add (5,7)=14 Succeeded, w=47\",\"Add (4,6)=18 Succeeded, w=65\",\"Add (3,6)=24 Succeeded, w=89\",\"Add (2,3)=28 Failed, w=89\",\"Add (1,3)=31 Failed, w=89\",\"Add (2,4)=34 Failed, w=89\",\"Add (3,7)=37 Failed, w=89\",\"Add (2,7)=39 Failed, w=89\",\"Add (0,3)=41 Failed, w=89\",\"Add (4,5)=44 Failed, w=89\",\"Add (6,7)=44 Failed, w=89\",\"Add (0,2)=51 Failed, w=89\",\"Add (3,5)=56 Failed, w=89\",\"Add (0,5)=68 Failed, w=89\",\"Add (2,6)=71 Failed, w=89\",\"Add (2,5)=74 Failed, w=89\",\"Add (1,5)=76 Failed, w=89\",\"Add (4,7)=80 Failed, w=89\",\"Add (1,4)=81 Failed, w=89\",\"Add (1,7)=93 Failed, w=89\",\"Add (0,6)=95 Failed, w=89\",\"Add (0,7)=99 Failed, w=89\",\"Add (1,6)=99 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,51],[0,3,41],[0,4,13],[0,5,68],[0,6,95],[0,7,99],[1,2,5],[1,3,31],[1,4,81],[1,5,76],[1,6,99],[1,7,93],[2,3,28],[2,4,34],[2,5,74],[2,6,71],[2,7,39],[3,5,56],[3,6,24],[3,7,37],[4,5,44],[4,6,18],[4,7,80],[5,6,5],[5,7,14],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(5,6)=5,(0,1)=10,(0,4)=13,(5,7)=14,(4,6)=18,(3,6)=24,(2,3)=28,(1,3)=31,(2,4)=34,(3,7)=37,(2,7)=39,(0,3)=41,(4,5)=44,(6,7)=44,(0,2)=51,(3,5)=56,(0,5)=68,(2,6)=71,(2,5)=74,(1,5)=76,(4,7)=80,(1,4)=81,(1,7)=93,(0,6)=95,(0,7)=99,(1,6)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=20\",\"Find(0)=1, Find(4)=4, Add (0,4)=13 Succeeded, w=33\",\"Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=47\",\"Find(4)=1, Find(6)=5, Add (4,6)=18 Succeeded, w=65\",\"Find(3)=3, Find(6)=1, Add (3,6)=24 Succeeded, w=89\",\"Find(2)=1, Find(3)=1, Add (2,3)=28 Failed, w=89\",\"Find(1)=1, Find(3)=1, Add (1,3)=31 Failed, w=89\",\"Find(2)=1, Find(4)=1, Add (2,4)=34 Failed, w=89\",\"Find(3)=1, Find(7)=1, Add (3,7)=37 Failed, w=89\",\"Find(2)=1, Find(7)=1, Add (2,7)=39 Failed, w=89\",\"Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=89\",\"Find(4)=1, Find(5)=1, Add (4,5)=44 Failed, w=89\",\"Find(6)=1, Find(7)=1, Add (6,7)=44 Failed, w=89\",\"Find(0)=1, Find(2)=1, Add (0,2)=51 Failed, w=89\",\"Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=89\",\"Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=89\",\"Find(2)=1, Find(6)=1, Add (2,6)=71 Failed, w=89\",\"Find(2)=1, Find(5)=1, Add (2,5)=74 Failed, w=89\",\"Find(1)=1, Find(5)=1, Add (1,5)=76 Failed, w=89\",\"Find(4)=1, Find(7)=1, Add (4,7)=80 Failed, w=89\",\"Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=89\",\"Find(1)=1, Find(7)=1, Add (1,7)=93 Failed, w=89\",\"Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=89\",\"Find(0)=1, Find(7)=1, Add (0,7)=99 Failed, w=89\",\"Find(1)=1, Find(6)=1, Add (1,6)=99 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,51],[0,3,41],[0,4,13],[0,5,68],[0,6,95],[0,7,99],[1,2,5],[1,3,31],[1,4,81],[1,5,76],[1,6,99],[1,7,93],[2,3,28],[2,4,34],[2,5,74],[2,6,71],[2,7,39],[3,5,56],[3,6,24],[3,7,37],[4,5,44],[4,6,18],[4,7,80],[5,6,5],[5,7,14],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(5,6)=5,(0,1)=10,(0,4)=13,(5,7)=14,(4,6)=18,(3,6)=24,(2,3)=28,(1,3)=31,(2,4)=34,(3,7)=37,(2,7)=39,(0,3)=41,(4,5)=44,(6,7)=44,(0,2)=51,(3,5)=56,(0,5)=68,(2,6)=71,(2,5)=74,(1,5)=76,(4,7)=80,(1,4)=81,(1,7)=93,(0,6)=95,(0,7)=99,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 5, 7: 7}, Find(0)=1, Find(4)=4, Add (0,4)=13 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 5, 7: 5}, Find(4)=1, Find(6)=5, Add (4,6)=18 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=3, Find(6)=1, Add (3,6)=24 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(3)=1, Add (2,3)=28 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(3)=1, Add (1,3)=31 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(4)=1, Add (2,4)=34 Failed, w=89\",\"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)=37 Failed, w=89\",\"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)=39 Failed, w=89\",\"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)=41 Failed, w=89\",\"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)=44 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=44 Failed, w=89\",\"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)=51 Failed, w=89\",\"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)=56 Failed, w=89\",\"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)=68 Failed, w=89\",\"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)=71 Failed, w=89\",\"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)=74 Failed, w=89\",\"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)=76 Failed, w=89\",\"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)=80 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=89\",\"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)=93 Failed, w=89\",\"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)=95 Failed, w=89\",\"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)=99 Failed, w=89\",\"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)=99 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[1,2,24],[1,3,26],[2,4,88],[4,5,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,24],[1,3,26],[2,4,88],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,24],[1,3,26],[2,4,88],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,24],[1,3,26],[2,4,88],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=20, w=20\",\"Add (1,2)=24, w=44\",\"Add (1,3)=26, w=70\",\"Add (2,4)=88, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,24],[1,3,26],[2,4,88],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=20 Succeeded, w=20\",\"Add (1,2)=24 Succeeded, w=44\",\"Add (1,3)=26 Succeeded, w=70\",\"Add (2,4)=88 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,24],[1,3,26],[2,4,88],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=20,(1,2)=24,(1,3)=26,(2,4)=88]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=44\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=70\",\"Find(2)=1, Find(4)=4, Add (2,4)=88 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,2,24],[1,3,26],[2,4,88],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=20,(1,2)=24,(1,3)=26,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(4)=4, Add (2,4)=88 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,3,46],[1,2,21],[1,5,27],[2,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,3,46],[1,2,21],[1,5,27],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,3,46],[1,2,21],[1,5,27],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,3,46],[1,2,21],[1,5,27],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=21, w=21\",\"Add (1,5)=27, w=48\",\"Add (0,3)=46, w=94\",\"Add (2,4)=48, w=142\",\"Add (0,1)=90, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,3,46],[1,2,21],[1,5,27],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=21 Succeeded, w=21\",\"Add (1,5)=27 Succeeded, w=48\",\"Add (0,3)=46 Succeeded, w=94\",\"Add (2,4)=48 Succeeded, w=142\",\"Add (0,1)=90 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,3,46],[1,2,21],[1,5,27],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=21,(1,5)=27,(0,3)=46,(2,4)=48,(0,1)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=21\",\"Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=48\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=94\",\"Find(2)=1, Find(4)=4, Add (2,4)=48 Succeeded, w=142\",\"Find(0)=0, Find(1)=1, Add (0,1)=90 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,3,46],[1,2,21],[1,5,27],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=21,(1,5)=27,(0,3)=46,(2,4)=48,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=94\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(4)=4, Add (2,4)=48 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=90 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,41],[0,3,88],[1,2,22],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,41],[0,3,88],[1,2,22],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,41],[0,3,88],[1,2,22],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,41],[0,3,88],[1,2,22],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (2,3)=37, w=59\",\"Add (0,2)=41, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,41],[0,3,88],[1,2,22],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (2,3)=37 Succeeded, w=59\",\"Add (0,2)=41 Succeeded, w=100\",\"Add (0,1)=44 Failed, w=100\",\"Add (0,3)=88 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,41],[0,3,88],[1,2,22],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(2,3)=37,(0,2)=41,(0,1)=44,(0,3)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(2)=1, Find(3)=3, Add (2,3)=37 Succeeded, w=59\",\"Find(0)=0, Find(2)=1, Add (0,2)=41 Succeeded, w=100\",\"Find(0)=1, Find(1)=1, Add (0,1)=44 Failed, w=100\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,41],[0,3,88],[1,2,22],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(2,3)=37,(0,2)=41,(0,1)=44,(0,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=37 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=41 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=44 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,55],[0,2,63],[0,4,68],[0,5,97],[0,6,15],[1,3,53],[1,6,47],[2,3,26],[2,4,64],[2,6,21],[3,4,36],[3,5,10],[4,6,38],[5,6,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,63],[0,4,68],[0,5,97],[0,6,15],[1,3,53],[1,6,47],[2,3,26],[2,4,64],[2,6,21],[3,4,36],[3,5,10],[4,6,38],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,63],[0,4,68],[0,5,97],[0,6,15],[1,3,53],[1,6,47],[2,3,26],[2,4,64],[2,6,21],[3,4,36],[3,5,10],[4,6,38],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,6)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,63],[0,4,68],[0,5,97],[0,6,15],[1,3,53],[1,6,47],[2,3,26],[2,4,64],[2,6,21],[3,4,36],[3,5,10],[4,6,38],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10, w=10\",\"Add (0,6)=15, w=25\",\"Add (2,6)=21, w=46\",\"Add (2,3)=26, w=72\",\"Add (3,4)=36, w=108\",\"Add (1,6)=47, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,63],[0,4,68],[0,5,97],[0,6,15],[1,3,53],[1,6,47],[2,3,26],[2,4,64],[2,6,21],[3,4,36],[3,5,10],[4,6,38],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10 Succeeded, w=10\",\"Add (0,6)=15 Succeeded, w=25\",\"Add (2,6)=21 Succeeded, w=46\",\"Add (2,3)=26 Succeeded, w=72\",\"Add (3,4)=36 Succeeded, w=108\",\"Add (4,6)=38 Failed, w=108\",\"Add (1,6)=47 Succeeded, w=155\",\"Add (1,3)=53 Failed, w=155\",\"Add (0,1)=55 Failed, w=155\",\"Add (0,2)=63 Failed, w=155\",\"Add (2,4)=64 Failed, w=155\",\"Add (0,4)=68 Failed, w=155\",\"Add (0,5)=97 Failed, w=155\",\"Add (5,6)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,63],[0,4,68],[0,5,97],[0,6,15],[1,3,53],[1,6,47],[2,3,26],[2,4,64],[2,6,21],[3,4,36],[3,5,10],[4,6,38],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(0,6)=15,(2,6)=21,(2,3)=26,(3,4)=36,(4,6)=38,(1,6)=47,(1,3)=53,(0,1)=55,(0,2)=63,(2,4)=64,(0,4)=68,(0,5)=97,(5,6)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=25\",\"Find(2)=2, Find(6)=0, Add (2,6)=21 Succeeded, w=46\",\"Find(2)=0, Find(3)=3, Add (2,3)=26 Succeeded, w=72\",\"Find(3)=0, Find(4)=4, Add (3,4)=36 Succeeded, w=108\",\"Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=108\",\"Find(1)=1, Find(6)=0, Add (1,6)=47 Succeeded, w=155\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=155\",\"Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=155\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=155\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=155\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=155\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=155\",\"Find(5)=0, Find(6)=0, Add (5,6)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,63],[0,4,68],[0,5,97],[0,6,15],[1,3,53],[1,6,47],[2,3,26],[2,4,64],[2,6,21],[3,4,36],[3,5,10],[4,6,38],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(0,6)=15,(2,6)=21,(2,3)=26,(3,4)=36,(4,6)=38,(1,6)=47,(1,3)=53,(0,1)=55,(0,2)=63,(2,4)=64,(0,4)=68,(0,5)=97,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=21 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=26 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(3)=0, Find(4)=4, Add (3,4)=36 Succeeded, w=108\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=47 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,62],[0,2,54],[0,3,79],[0,4,82],[0,5,63],[1,2,84],[1,3,97],[1,4,56],[1,5,36],[2,3,49],[2,5,83],[3,4,97],[3,5,55],[4,5,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,54],[0,3,79],[0,4,82],[0,5,63],[1,2,84],[1,3,97],[1,4,56],[1,5,36],[2,3,49],[2,5,83],[3,4,97],[3,5,55],[4,5,34]]}",
"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\":[[0,1,62],[0,2,54],[0,3,79],[0,4,82],[0,5,63],[1,2,84],[1,3,97],[1,4,56],[1,5,36],[2,3,49],[2,5,83],[3,4,97],[3,5,55],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,54],[0,3,79],[0,4,82],[0,5,63],[1,2,84],[1,3,97],[1,4,56],[1,5,36],[2,3,49],[2,5,83],[3,4,97],[3,5,55],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=34, w=34\",\"Add (1,5)=36, w=70\",\"Add (2,3)=49, w=119\",\"Add (0,2)=54, w=173\",\"Add (3,5)=55, 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\":[[0,1,62],[0,2,54],[0,3,79],[0,4,82],[0,5,63],[1,2,84],[1,3,97],[1,4,56],[1,5,36],[2,3,49],[2,5,83],[3,4,97],[3,5,55],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=34 Succeeded, w=34\",\"Add (1,5)=36 Succeeded, w=70\",\"Add (2,3)=49 Succeeded, w=119\",\"Add (0,2)=54 Succeeded, w=173\",\"Add (3,5)=55 Succeeded, w=228\",\"Add (1,4)=56 Failed, w=228\",\"Add (0,1)=62 Failed, w=228\",\"Add (0,5)=63 Failed, w=228\",\"Add (0,3)=79 Failed, w=228\",\"Add (0,4)=82 Failed, w=228\",\"Add (2,5)=83 Failed, w=228\",\"Add (1,2)=84 Failed, w=228\",\"Add (1,3)=97 Failed, w=228\",\"Add (3,4)=97 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\":[[0,1,62],[0,2,54],[0,3,79],[0,4,82],[0,5,63],[1,2,84],[1,3,97],[1,4,56],[1,5,36],[2,3,49],[2,5,83],[3,4,97],[3,5,55],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=34,(1,5)=36,(2,3)=49,(0,2)=54,(3,5)=55,(1,4)=56,(0,1)=62,(0,5)=63,(0,3)=79,(0,4)=82,(2,5)=83,(1,2)=84,(1,3)=97,(3,4)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=34 Succeeded, w=34\",\"Find(1)=1, Find(5)=4, Add (1,5)=36 Succeeded, w=70\",\"Find(2)=2, Find(3)=3, Add (2,3)=49 Succeeded, w=119\",\"Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=173\",\"Find(3)=2, Find(5)=4, Add (3,5)=55 Succeeded, w=228\",\"Find(1)=2, Find(4)=2, Add (1,4)=56 Failed, w=228\",\"Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=228\",\"Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=228\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=228\",\"Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=228\",\"Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=228\",\"Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=228\",\"Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=228\",\"Find(3)=2, Find(4)=2, Add (3,4)=97 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\":[[0,1,62],[0,2,54],[0,3,79],[0,4,82],[0,5,63],[1,2,84],[1,3,97],[1,4,56],[1,5,36],[2,3,49],[2,5,83],[3,4,97],[3,5,55],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=34,(1,5)=36,(2,3)=49,(0,2)=54,(3,5)=55,(1,4)=56,(0,1)=62,(0,5)=63,(0,3)=79,(0,4)=82,(2,5)=83,(1,2)=84,(1,3)=97,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=36 Succeeded, w=70\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 4, 5: 4}, Find(2)=2, Find(3)=3, Add (2,3)=49 Succeeded, w=119\",\"Parent: {0: 2, 1: 4, 2: 2, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=54 Succeeded, w=173\",\"Parent: {0: 2, 1: 4, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(5)=4, Add (3,5)=55 Succeeded, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=2, Find(4)=2, Add (1,4)=56 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(1)=2, Add (0,1)=62 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)=63 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)=79 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)=82 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=228\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=97 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)=97 Failed, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,9],[0,2,12],[0,3,22],[1,2,41],[1,3,20],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,12],[0,3,22],[1,2,41],[1,3,20],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,12],[0,3,22],[1,2,41],[1,3,20],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,12],[0,3,22],[1,2,41],[1,3,20],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (0,2)=12, w=21\",\"Add (1,3)=20, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,12],[0,3,22],[1,2,41],[1,3,20],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (0,2)=12 Succeeded, w=21\",\"Add (1,3)=20 Succeeded, w=41\",\"Add (0,3)=22 Failed, w=41\",\"Add (1,2)=41 Failed, w=41\",\"Add (2,3)=74 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,12],[0,3,22],[1,2,41],[1,3,20],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=12,(1,3)=20,(0,3)=22,(1,2)=41,(2,3)=74]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=21\",\"Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=41\",\"Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=41\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=41\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,9],[0,2,12],[0,3,22],[1,2,41],[1,3,20],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=12,(1,3)=20,(0,3)=22,(1,2)=41,(2,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,2,37],[0,3,47],[0,4,71],[0,5,91],[0,6,0],[0,7,53],[1,2,55],[1,3,61],[1,4,82],[1,5,56],[1,6,0],[1,7,95],[2,3,59],[2,4,64],[2,5,41],[2,6,63],[2,7,27],[3,4,40],[3,5,79],[3,6,68],[3,7,16],[4,5,45],[4,6,6],[4,7,18],[5,6,73],[5,7,95],[6,7,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,37],[0,3,47],[0,4,71],[0,5,91],[0,6,0],[0,7,53],[1,2,55],[1,3,61],[1,4,82],[1,5,56],[1,6,0],[1,7,95],[2,3,59],[2,4,64],[2,5,41],[2,6,63],[2,7,27],[3,4,40],[3,5,79],[3,6,68],[3,7,16],[4,5,45],[4,6,6],[4,7,18],[5,6,73],[5,7,95],[6,7,93]]}",
"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\":[[0,1,56],[0,2,37],[0,3,47],[0,4,71],[0,5,91],[0,6,0],[0,7,53],[1,2,55],[1,3,61],[1,4,82],[1,5,56],[1,6,0],[1,7,95],[2,3,59],[2,4,64],[2,5,41],[2,6,63],[2,7,27],[3,4,40],[3,5,79],[3,6,68],[3,7,16],[4,5,45],[4,6,6],[4,7,18],[5,6,73],[5,7,95],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,6)\",\"Add (4,6)\",\"Add (3,7)\",\"Add (4,7)\",\"Add (2,7)\",\"Add (2,5)\"],\"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\":[[0,1,56],[0,2,37],[0,3,47],[0,4,71],[0,5,91],[0,6,0],[0,7,53],[1,2,55],[1,3,61],[1,4,82],[1,5,56],[1,6,0],[1,7,95],[2,3,59],[2,4,64],[2,5,41],[2,6,63],[2,7,27],[3,4,40],[3,5,79],[3,6,68],[3,7,16],[4,5,45],[4,6,6],[4,7,18],[5,6,73],[5,7,95],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (1,6)=0, w=0\",\"Add (4,6)=6, w=6\",\"Add (3,7)=16, w=22\",\"Add (4,7)=18, w=40\",\"Add (2,7)=27, w=67\",\"Add (2,5)=41, 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\":[[0,1,56],[0,2,37],[0,3,47],[0,4,71],[0,5,91],[0,6,0],[0,7,53],[1,2,55],[1,3,61],[1,4,82],[1,5,56],[1,6,0],[1,7,95],[2,3,59],[2,4,64],[2,5,41],[2,6,63],[2,7,27],[3,4,40],[3,5,79],[3,6,68],[3,7,16],[4,5,45],[4,6,6],[4,7,18],[5,6,73],[5,7,95],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (1,6)=0 Succeeded, w=0\",\"Add (4,6)=6 Succeeded, w=6\",\"Add (3,7)=16 Succeeded, w=22\",\"Add (4,7)=18 Succeeded, w=40\",\"Add (2,7)=27 Succeeded, w=67\",\"Add (0,2)=37 Failed, w=67\",\"Add (3,4)=40 Failed, w=67\",\"Add (2,5)=41 Succeeded, w=108\",\"Add (4,5)=45 Failed, w=108\",\"Add (0,3)=47 Failed, w=108\",\"Add (0,7)=53 Failed, w=108\",\"Add (1,2)=55 Failed, w=108\",\"Add (0,1)=56 Failed, w=108\",\"Add (1,5)=56 Failed, w=108\",\"Add (2,3)=59 Failed, w=108\",\"Add (1,3)=61 Failed, w=108\",\"Add (2,6)=63 Failed, w=108\",\"Add (2,4)=64 Failed, w=108\",\"Add (3,6)=68 Failed, w=108\",\"Add (0,4)=71 Failed, w=108\",\"Add (5,6)=73 Failed, w=108\",\"Add (3,5)=79 Failed, w=108\",\"Add (1,4)=82 Failed, w=108\",\"Add (0,5)=91 Failed, w=108\",\"Add (6,7)=93 Failed, w=108\",\"Add (1,7)=95 Failed, w=108\",\"Add (5,7)=95 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\":[[0,1,56],[0,2,37],[0,3,47],[0,4,71],[0,5,91],[0,6,0],[0,7,53],[1,2,55],[1,3,61],[1,4,82],[1,5,56],[1,6,0],[1,7,95],[2,3,59],[2,4,64],[2,5,41],[2,6,63],[2,7,27],[3,4,40],[3,5,79],[3,6,68],[3,7,16],[4,5,45],[4,6,6],[4,7,18],[5,6,73],[5,7,95],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(1,6)=0,(4,6)=6,(3,7)=16,(4,7)=18,(2,7)=27,(0,2)=37,(3,4)=40,(2,5)=41,(4,5)=45,(0,3)=47,(0,7)=53,(1,2)=55,(0,1)=56,(1,5)=56,(2,3)=59,(1,3)=61,(2,6)=63,(2,4)=64,(3,6)=68,(0,4)=71,(5,6)=73,(3,5)=79,(1,4)=82,(0,5)=91,(6,7)=93,(1,7)=95,(5,7)=95]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=0, Add (1,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=0, Add (4,6)=6 Succeeded, w=6\",\"Find(3)=3, Find(7)=7, Add (3,7)=16 Succeeded, w=22\",\"Find(4)=0, Find(7)=3, Add (4,7)=18 Succeeded, w=40\",\"Find(2)=2, Find(7)=0, Add (2,7)=27 Succeeded, w=67\",\"Find(0)=0, Find(2)=0, Add (0,2)=37 Failed, w=67\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=67\",\"Find(2)=0, Find(5)=5, Add (2,5)=41 Succeeded, w=108\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=108\",\"Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=108\",\"Find(0)=0, Find(7)=0, Add (0,7)=53 Failed, w=108\",\"Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=56 Failed, w=108\",\"Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=108\",\"Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=108\",\"Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=108\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=108\",\"Find(3)=0, Find(6)=0, Add (3,6)=68 Failed, w=108\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=108\",\"Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=108\",\"Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=108\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=108\",\"Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=108\",\"Find(6)=0, Find(7)=0, Add (6,7)=93 Failed, w=108\",\"Find(1)=0, Find(7)=0, Add (1,7)=95 Failed, w=108\",\"Find(5)=0, Find(7)=0, Add (5,7)=95 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\":[[0,1,56],[0,2,37],[0,3,47],[0,4,71],[0,5,91],[0,6,0],[0,7,53],[1,2,55],[1,3,61],[1,4,82],[1,5,56],[1,6,0],[1,7,95],[2,3,59],[2,4,64],[2,5,41],[2,6,63],[2,7,27],[3,4,40],[3,5,79],[3,6,68],[3,7,16],[4,5,45],[4,6,6],[4,7,18],[5,6,73],[5,7,95],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(1,6)=0,(4,6)=6,(3,7)=16,(4,7)=18,(2,7)=27,(0,2)=37,(3,4)=40,(2,5)=41,(4,5)=45,(0,3)=47,(0,7)=53,(1,2)=55,(0,1)=56,(1,5)=56,(2,3)=59,(1,3)=61,(2,6)=63,(2,4)=64,(3,6)=68,(0,4)=71,(5,6)=73,(3,5)=79,(1,4)=82,(0,5)=91,(6,7)=93,(1,7)=95,(5,7)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(4)=4, Find(6)=0, Add (4,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=16 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 3}, Find(4)=0, Find(7)=3, Add (4,7)=18 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=27 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=37 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=41 Succeeded, w=108\",\"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)=45 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)=47 Failed, w=108\",\"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)=53 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)=55 Failed, w=108\",\"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)=56 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=108\",\"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)=59 Failed, 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)=61 Failed, w=108\",\"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)=63 Failed, w=108\",\"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)=64 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)=68 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=108\",\"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)=73 Failed, w=108\",\"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)=79 Failed, w=108\",\"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)=82 Failed, w=108\",\"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)=91 Failed, w=108\",\"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)=93 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=95 Failed, w=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)=95 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,2,30],[0,3,64],[0,4,53],[0,5,77],[1,2,84],[1,3,16],[1,4,85],[1,5,46],[2,3,48],[2,4,11],[2,5,36],[3,4,38],[4,5,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,30],[0,3,64],[0,4,53],[0,5,77],[1,2,84],[1,3,16],[1,4,85],[1,5,46],[2,3,48],[2,4,11],[2,5,36],[3,4,38],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,30],[0,3,64],[0,4,53],[0,5,77],[1,2,84],[1,3,16],[1,4,85],[1,5,46],[2,3,48],[2,4,11],[2,5,36],[3,4,38],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (3,4)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,30],[0,3,64],[0,4,53],[0,5,77],[1,2,84],[1,3,16],[1,4,85],[1,5,46],[2,3,48],[2,4,11],[2,5,36],[3,4,38],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (1,3)=16, w=27\",\"Add (0,2)=30, w=57\",\"Add (2,5)=36, w=93\",\"Add (3,4)=38, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,30],[0,3,64],[0,4,53],[0,5,77],[1,2,84],[1,3,16],[1,4,85],[1,5,46],[2,3,48],[2,4,11],[2,5,36],[3,4,38],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (1,3)=16 Succeeded, w=27\",\"Add (0,2)=30 Succeeded, w=57\",\"Add (2,5)=36 Succeeded, w=93\",\"Add (3,4)=38 Succeeded, w=131\",\"Add (1,5)=46 Failed, w=131\",\"Add (4,5)=46 Failed, w=131\",\"Add (2,3)=48 Failed, w=131\",\"Add (0,4)=53 Failed, w=131\",\"Add (0,3)=64 Failed, w=131\",\"Add (0,5)=77 Failed, w=131\",\"Add (1,2)=84 Failed, w=131\",\"Add (1,4)=85 Failed, w=131\",\"Add (0,1)=91 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,30],[0,3,64],[0,4,53],[0,5,77],[1,2,84],[1,3,16],[1,4,85],[1,5,46],[2,3,48],[2,4,11],[2,5,36],[3,4,38],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(1,3)=16,(0,2)=30,(2,5)=36,(3,4)=38,(1,5)=46,(4,5)=46,(2,3)=48,(0,4)=53,(0,3)=64,(0,5)=77,(1,2)=84,(1,4)=85,(0,1)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=57\",\"Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=93\",\"Find(3)=1, Find(4)=2, Add (3,4)=38 Succeeded, w=131\",\"Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=131\",\"Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=131\",\"Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=131\",\"Find(0)=1, Find(4)=1, Add (0,4)=53 Failed, w=131\",\"Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=131\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=131\",\"Find(1)=1, Find(2)=1, Add (1,2)=84 Failed, w=131\",\"Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=131\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,30],[0,3,64],[0,4,53],[0,5,77],[1,2,84],[1,3,16],[1,4,85],[1,5,46],[2,3,48],[2,4,11],[2,5,36],[3,4,38],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(1,3)=16,(0,2)=30,(2,5)=36,(3,4)=38,(1,5)=46,(4,5)=46,(2,3)=48,(0,4)=53,(0,3)=64,(0,5)=77,(1,2)=84,(1,4)=85,(0,1)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=57\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=93\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(3)=1, Find(4)=2, Add (3,4)=38 Succeeded, w=131\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=131\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=131\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=53 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=84 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,26],[0,2,96],[0,4,66],[0,5,36],[0,6,29],[1,3,63],[1,5,64],[1,6,14],[2,3,33],[2,6,75],[3,4,60],[3,6,86],[4,6,75],[5,6,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,96],[0,4,66],[0,5,36],[0,6,29],[1,3,63],[1,5,64],[1,6,14],[2,3,33],[2,6,75],[3,4,60],[3,6,86],[4,6,75],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,96],[0,4,66],[0,5,36],[0,6,29],[1,3,63],[1,5,64],[1,6,14],[2,3,33],[2,6,75],[3,4,60],[3,6,86],[4,6,75],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,96],[0,4,66],[0,5,36],[0,6,29],[1,3,63],[1,5,64],[1,6,14],[2,3,33],[2,6,75],[3,4,60],[3,6,86],[4,6,75],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=14, w=14\",\"Add (5,6)=22, w=36\",\"Add (0,1)=26, w=62\",\"Add (2,3)=33, w=95\",\"Add (3,4)=60, w=155\",\"Add (1,3)=63, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,96],[0,4,66],[0,5,36],[0,6,29],[1,3,63],[1,5,64],[1,6,14],[2,3,33],[2,6,75],[3,4,60],[3,6,86],[4,6,75],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=14 Succeeded, w=14\",\"Add (5,6)=22 Succeeded, w=36\",\"Add (0,1)=26 Succeeded, w=62\",\"Add (0,6)=29 Failed, w=62\",\"Add (2,3)=33 Succeeded, w=95\",\"Add (0,5)=36 Failed, w=95\",\"Add (3,4)=60 Succeeded, w=155\",\"Add (1,3)=63 Succeeded, w=218\",\"Add (1,5)=64 Failed, w=218\",\"Add (0,4)=66 Failed, w=218\",\"Add (2,6)=75 Failed, w=218\",\"Add (4,6)=75 Failed, w=218\",\"Add (3,6)=86 Failed, w=218\",\"Add (0,2)=96 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,96],[0,4,66],[0,5,36],[0,6,29],[1,3,63],[1,5,64],[1,6,14],[2,3,33],[2,6,75],[3,4,60],[3,6,86],[4,6,75],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=14,(5,6)=22,(0,1)=26,(0,6)=29,(2,3)=33,(0,5)=36,(3,4)=60,(1,3)=63,(1,5)=64,(0,4)=66,(2,6)=75,(4,6)=75,(3,6)=86,(0,2)=96]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=14\",\"Find(5)=5, Find(6)=1, Add (5,6)=22 Succeeded, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=62\",\"Find(0)=1, Find(6)=1, Add (0,6)=29 Failed, w=62\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=95\",\"Find(0)=1, Find(5)=1, Add (0,5)=36 Failed, w=95\",\"Find(3)=2, Find(4)=4, Add (3,4)=60 Succeeded, w=155\",\"Find(1)=1, Find(3)=2, Add (1,3)=63 Succeeded, w=218\",\"Find(1)=1, Find(5)=1, Add (1,5)=64 Failed, w=218\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=218\",\"Find(2)=1, Find(6)=1, Add (2,6)=75 Failed, w=218\",\"Find(4)=1, Find(6)=1, Add (4,6)=75 Failed, w=218\",\"Find(3)=1, Find(6)=1, Add (3,6)=86 Failed, w=218\",\"Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,96],[0,4,66],[0,5,36],[0,6,29],[1,3,63],[1,5,64],[1,6,14],[2,3,33],[2,6,75],[3,4,60],[3,6,86],[4,6,75],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=14,(5,6)=22,(0,1)=26,(0,6)=29,(2,3)=33,(0,5)=36,(3,4)=60,(1,3)=63,(1,5)=64,(0,4)=66,(2,6)=75,(4,6)=75,(3,6)=86,(0,2)=96]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=22 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=29 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=36 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 1}, Find(3)=2, Find(4)=4, Add (3,4)=60 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(3)=2, Add (1,3)=63 Succeeded, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=64 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=75 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=75 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=86 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,19],[0,4,21],[0,5,88],[0,6,74],[1,3,18],[1,6,22],[1,7,16],[2,4,6],[2,7,45],[3,4,1],[3,5,2],[3,6,90],[3,7,77],[4,6,92],[5,6,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,21],[0,5,88],[0,6,74],[1,3,18],[1,6,22],[1,7,16],[2,4,6],[2,7,45],[3,4,1],[3,5,2],[3,6,90],[3,7,77],[4,6,92],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,21],[0,5,88],[0,6,74],[1,3,18],[1,6,22],[1,7,16],[2,4,6],[2,7,45],[3,4,1],[3,5,2],[3,6,90],[3,7,77],[4,6,92],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,7)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (1,6)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,21],[0,5,88],[0,6,74],[1,3,18],[1,6,22],[1,7,16],[2,4,6],[2,7,45],[3,4,1],[3,5,2],[3,6,90],[3,7,77],[4,6,92],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (3,5)=2, w=3\",\"Add (2,4)=6, w=9\",\"Add (1,7)=16, w=25\",\"Add (1,3)=18, w=43\",\"Add (0,2)=19, w=62\",\"Add (1,6)=22, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,21],[0,5,88],[0,6,74],[1,3,18],[1,6,22],[1,7,16],[2,4,6],[2,7,45],[3,4,1],[3,5,2],[3,6,90],[3,7,77],[4,6,92],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (3,5)=2 Succeeded, w=3\",\"Add (2,4)=6 Succeeded, w=9\",\"Add (1,7)=16 Succeeded, w=25\",\"Add (1,3)=18 Succeeded, w=43\",\"Add (0,2)=19 Succeeded, w=62\",\"Add (0,4)=21 Failed, w=62\",\"Add (1,6)=22 Succeeded, w=84\",\"Add (2,7)=45 Failed, w=84\",\"Add (5,6)=51 Failed, w=84\",\"Add (0,6)=74 Failed, w=84\",\"Add (3,7)=77 Failed, w=84\",\"Add (0,5)=88 Failed, w=84\",\"Add (3,6)=90 Failed, w=84\",\"Add (4,6)=92 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,21],[0,5,88],[0,6,74],[1,3,18],[1,6,22],[1,7,16],[2,4,6],[2,7,45],[3,4,1],[3,5,2],[3,6,90],[3,7,77],[4,6,92],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(3,5)=2,(2,4)=6,(1,7)=16,(1,3)=18,(0,2)=19,(0,4)=21,(1,6)=22,(2,7)=45,(5,6)=51,(0,6)=74,(3,7)=77,(0,5)=88,(3,6)=90,(4,6)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=3\",\"Find(2)=2, Find(4)=3, Add (2,4)=6 Succeeded, w=9\",\"Find(1)=1, Find(7)=7, Add (1,7)=16 Succeeded, w=25\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=43\",\"Find(0)=0, Find(2)=1, Add (0,2)=19 Succeeded, w=62\",\"Find(0)=1, Find(4)=1, Add (0,4)=21 Failed, w=62\",\"Find(1)=1, Find(6)=6, Add (1,6)=22 Succeeded, w=84\",\"Find(2)=1, Find(7)=1, Add (2,7)=45 Failed, w=84\",\"Find(5)=1, Find(6)=1, Add (5,6)=51 Failed, w=84\",\"Find(0)=1, Find(6)=1, Add (0,6)=74 Failed, w=84\",\"Find(3)=1, Find(7)=1, Add (3,7)=77 Failed, w=84\",\"Find(0)=1, Find(5)=1, Add (0,5)=88 Failed, w=84\",\"Find(3)=1, Find(6)=1, Add (3,6)=90 Failed, w=84\",\"Find(4)=1, Find(6)=1, Add (4,6)=92 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,21],[0,5,88],[0,6,74],[1,3,18],[1,6,22],[1,7,16],[2,4,6],[2,7,45],[3,4,1],[3,5,2],[3,6,90],[3,7,77],[4,6,92],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(3,5)=2,(2,4)=6,(1,7)=16,(1,3)=18,(0,2)=19,(0,4)=21,(1,6)=22,(2,7)=45,(5,6)=51,(0,6)=74,(3,7)=77,(0,5)=88,(3,6)=90,(4,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(2)=2, Find(4)=3, Add (2,4)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=16 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 3, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3, 6: 6, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=19 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 6, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=21 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=22 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=45 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=51 Failed, w=84\",\"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)=74 Failed, w=84\",\"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)=77 Failed, w=84\",\"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)=88 Failed, w=84\",\"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)=90 Failed, w=84\",\"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)=92 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,19],[0,2,0],[1,3,25],[2,3,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,0],[1,3,25],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,0],[1,3,25],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,0],[1,3,25],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (0,1)=19, w=19\",\"Add (1,3)=25, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,0],[1,3,25],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (0,1)=19 Succeeded, w=19\",\"Add (1,3)=25 Succeeded, w=44\",\"Add (2,3)=63 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,0],[1,3,25],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,1)=19,(1,3)=25,(2,3)=63]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=44\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,0],[1,3,25],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,1)=19,(1,3)=25,(2,3)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,8],[0,2,50],[0,4,24],[0,5,43],[0,6,61],[0,7,53],[1,2,88],[1,3,81],[1,4,75],[1,5,16],[1,6,14],[1,7,38],[2,3,81],[2,4,73],[2,5,71],[2,7,81],[3,5,82],[3,6,78],[4,5,10],[4,7,64],[5,6,79],[5,7,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,50],[0,4,24],[0,5,43],[0,6,61],[0,7,53],[1,2,88],[1,3,81],[1,4,75],[1,5,16],[1,6,14],[1,7,38],[2,3,81],[2,4,73],[2,5,71],[2,7,81],[3,5,82],[3,6,78],[4,5,10],[4,7,64],[5,6,79],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,50],[0,4,24],[0,5,43],[0,6,61],[0,7,53],[1,2,88],[1,3,81],[1,4,75],[1,5,16],[1,6,14],[1,7,38],[2,3,81],[2,4,73],[2,5,71],[2,7,81],[3,5,82],[3,6,78],[4,5,10],[4,7,64],[5,6,79],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (4,5)\",\"Add (5,7)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (3,6)\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,50],[0,4,24],[0,5,43],[0,6,61],[0,7,53],[1,2,88],[1,3,81],[1,4,75],[1,5,16],[1,6,14],[1,7,38],[2,3,81],[2,4,73],[2,5,71],[2,7,81],[3,5,82],[3,6,78],[4,5,10],[4,7,64],[5,6,79],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (4,5)=10, w=18\",\"Add (5,7)=10, w=28\",\"Add (1,6)=14, w=42\",\"Add (1,5)=16, w=58\",\"Add (0,2)=50, w=108\",\"Add (3,6)=78, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,50],[0,4,24],[0,5,43],[0,6,61],[0,7,53],[1,2,88],[1,3,81],[1,4,75],[1,5,16],[1,6,14],[1,7,38],[2,3,81],[2,4,73],[2,5,71],[2,7,81],[3,5,82],[3,6,78],[4,5,10],[4,7,64],[5,6,79],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (4,5)=10 Succeeded, w=18\",\"Add (5,7)=10 Succeeded, w=28\",\"Add (1,6)=14 Succeeded, w=42\",\"Add (1,5)=16 Succeeded, w=58\",\"Add (0,4)=24 Failed, w=58\",\"Add (1,7)=38 Failed, w=58\",\"Add (0,5)=43 Failed, w=58\",\"Add (0,2)=50 Succeeded, w=108\",\"Add (0,7)=53 Failed, w=108\",\"Add (0,6)=61 Failed, w=108\",\"Add (4,7)=64 Failed, w=108\",\"Add (2,5)=71 Failed, w=108\",\"Add (2,4)=73 Failed, w=108\",\"Add (1,4)=75 Failed, w=108\",\"Add (3,6)=78 Succeeded, w=186\",\"Add (5,6)=79 Failed, w=186\",\"Add (1,3)=81 Failed, w=186\",\"Add (2,3)=81 Failed, w=186\",\"Add (2,7)=81 Failed, w=186\",\"Add (3,5)=82 Failed, w=186\",\"Add (1,2)=88 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,50],[0,4,24],[0,5,43],[0,6,61],[0,7,53],[1,2,88],[1,3,81],[1,4,75],[1,5,16],[1,6,14],[1,7,38],[2,3,81],[2,4,73],[2,5,71],[2,7,81],[3,5,82],[3,6,78],[4,5,10],[4,7,64],[5,6,79],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(4,5)=10,(5,7)=10,(1,6)=14,(1,5)=16,(0,4)=24,(1,7)=38,(0,5)=43,(0,2)=50,(0,7)=53,(0,6)=61,(4,7)=64,(2,5)=71,(2,4)=73,(1,4)=75,(3,6)=78,(5,6)=79,(1,3)=81,(2,3)=81,(2,7)=81,(3,5)=82,(1,2)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Find(5)=4, Find(7)=7, Add (5,7)=10 Succeeded, w=28\",\"Find(1)=0, Find(6)=6, Add (1,6)=14 Succeeded, w=42\",\"Find(1)=0, Find(5)=4, Add (1,5)=16 Succeeded, w=58\",\"Find(0)=0, Find(4)=0, Add (0,4)=24 Failed, w=58\",\"Find(1)=0, Find(7)=0, Add (1,7)=38 Failed, w=58\",\"Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=58\",\"Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=108\",\"Find(0)=0, Find(7)=0, Add (0,7)=53 Failed, w=108\",\"Find(0)=0, Find(6)=0, Add (0,6)=61 Failed, w=108\",\"Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=108\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=108\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=108\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=108\",\"Find(3)=3, Find(6)=0, Add (3,6)=78 Succeeded, w=186\",\"Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=186\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=186\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=186\",\"Find(2)=0, Find(7)=0, Add (2,7)=81 Failed, w=186\",\"Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=186\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,50],[0,4,24],[0,5,43],[0,6,61],[0,7,53],[1,2,88],[1,3,81],[1,4,75],[1,5,16],[1,6,14],[1,7,38],[2,3,81],[2,4,73],[2,5,71],[2,7,81],[3,5,82],[3,6,78],[4,5,10],[4,7,64],[5,6,79],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(4,5)=10,(5,7)=10,(1,6)=14,(1,5)=16,(0,4)=24,(1,7)=38,(0,5)=43,(0,2)=50,(0,7)=53,(0,6)=61,(4,7)=64,(2,5)=71,(2,4)=73,(1,4)=75,(3,6)=78,(5,6)=79,(1,3)=81,(2,3)=81,(2,7)=81,(3,5)=82,(1,2)=88]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=10 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0, 7: 4}, Find(1)=0, Find(6)=6, Add (1,6)=14 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 4}, Find(1)=0, Find(5)=4, Add (1,5)=16 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 4}, Find(0)=0, Find(4)=0, Add (0,4)=24 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=38 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=108\",\"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)=53 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=61 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(6)=0, Add (3,6)=78 Succeeded, w=186\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=186\",\"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)=81 Failed, w=186\",\"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)=81 Failed, w=186\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=81 Failed, w=186\",\"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=186\",\"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)=88 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,39],[0,5,41],[0,6,51],[0,7,57],[1,2,97],[1,3,63],[1,5,57],[1,6,68],[2,3,65],[2,4,37],[2,5,0],[2,6,18],[2,7,25],[3,4,98],[3,5,50],[3,7,29],[4,5,24],[4,6,15],[4,7,30],[5,6,28],[5,7,2],[6,7,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,5,41],[0,6,51],[0,7,57],[1,2,97],[1,3,63],[1,5,57],[1,6,68],[2,3,65],[2,4,37],[2,5,0],[2,6,18],[2,7,25],[3,4,98],[3,5,50],[3,7,29],[4,5,24],[4,6,15],[4,7,30],[5,6,28],[5,7,2],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,5,41],[0,6,51],[0,7,57],[1,2,97],[1,3,63],[1,5,57],[1,6,68],[2,3,65],[2,4,37],[2,5,0],[2,6,18],[2,7,25],[3,4,98],[3,5,50],[3,7,29],[4,5,24],[4,6,15],[4,7,30],[5,6,28],[5,7,2],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (2,6)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (0,5)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,5,41],[0,6,51],[0,7,57],[1,2,97],[1,3,63],[1,5,57],[1,6,68],[2,3,65],[2,4,37],[2,5,0],[2,6,18],[2,7,25],[3,4,98],[3,5,50],[3,7,29],[4,5,24],[4,6,15],[4,7,30],[5,6,28],[5,7,2],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (5,7)=2, w=2\",\"Add (4,6)=15, w=17\",\"Add (2,6)=18, w=35\",\"Add (3,7)=29, w=64\",\"Add (0,1)=39, w=103\",\"Add (0,5)=41, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,5,41],[0,6,51],[0,7,57],[1,2,97],[1,3,63],[1,5,57],[1,6,68],[2,3,65],[2,4,37],[2,5,0],[2,6,18],[2,7,25],[3,4,98],[3,5,50],[3,7,29],[4,5,24],[4,6,15],[4,7,30],[5,6,28],[5,7,2],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (5,7)=2 Succeeded, w=2\",\"Add (4,6)=15 Succeeded, w=17\",\"Add (2,6)=18 Succeeded, w=35\",\"Add (4,5)=24 Failed, w=35\",\"Add (2,7)=25 Failed, w=35\",\"Add (5,6)=28 Failed, w=35\",\"Add (3,7)=29 Succeeded, w=64\",\"Add (4,7)=30 Failed, w=64\",\"Add (6,7)=35 Failed, w=64\",\"Add (2,4)=37 Failed, w=64\",\"Add (0,1)=39 Succeeded, w=103\",\"Add (0,5)=41 Succeeded, w=144\",\"Add (3,5)=50 Failed, w=144\",\"Add (0,6)=51 Failed, w=144\",\"Add (0,7)=57 Failed, w=144\",\"Add (1,5)=57 Failed, w=144\",\"Add (1,3)=63 Failed, w=144\",\"Add (2,3)=65 Failed, w=144\",\"Add (1,6)=68 Failed, w=144\",\"Add (1,2)=97 Failed, w=144\",\"Add (3,4)=98 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,5,41],[0,6,51],[0,7,57],[1,2,97],[1,3,63],[1,5,57],[1,6,68],[2,3,65],[2,4,37],[2,5,0],[2,6,18],[2,7,25],[3,4,98],[3,5,50],[3,7,29],[4,5,24],[4,6,15],[4,7,30],[5,6,28],[5,7,2],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(5,7)=2,(4,6)=15,(2,6)=18,(4,5)=24,(2,7)=25,(5,6)=28,(3,7)=29,(4,7)=30,(6,7)=35,(2,4)=37,(0,1)=39,(0,5)=41,(3,5)=50,(0,6)=51,(0,7)=57,(1,5)=57,(1,3)=63,(2,3)=65,(1,6)=68,(1,2)=97,(3,4)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(5)=2, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Find(4)=4, Find(6)=6, Add (4,6)=15 Succeeded, w=17\",\"Find(2)=2, Find(6)=4, Add (2,6)=18 Succeeded, w=35\",\"Find(4)=2, Find(5)=2, Add (4,5)=24 Failed, w=35\",\"Find(2)=2, Find(7)=2, Add (2,7)=25 Failed, w=35\",\"Find(5)=2, Find(6)=2, Add (5,6)=28 Failed, w=35\",\"Find(3)=3, Find(7)=2, Add (3,7)=29 Succeeded, w=64\",\"Find(4)=2, Find(7)=2, Add (4,7)=30 Failed, w=64\",\"Find(6)=2, Find(7)=2, Add (6,7)=35 Failed, w=64\",\"Find(2)=2, Find(4)=2, Add (2,4)=37 Failed, w=64\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=103\",\"Find(0)=0, Find(5)=2, Add (0,5)=41 Succeeded, w=144\",\"Find(3)=2, Find(5)=2, Add (3,5)=50 Failed, w=144\",\"Find(0)=2, Find(6)=2, Add (0,6)=51 Failed, w=144\",\"Find(0)=2, Find(7)=2, Add (0,7)=57 Failed, w=144\",\"Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=144\",\"Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=144\",\"Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=144\",\"Find(1)=2, Find(6)=2, Add (1,6)=68 Failed, w=144\",\"Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=144\",\"Find(3)=2, Find(4)=2, Add (3,4)=98 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,5,41],[0,6,51],[0,7,57],[1,2,97],[1,3,63],[1,5,57],[1,6,68],[2,3,65],[2,4,37],[2,5,0],[2,6,18],[2,7,25],[3,4,98],[3,5,50],[3,7,29],[4,5,24],[4,6,15],[4,7,30],[5,6,28],[5,7,2],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(5,7)=2,(4,6)=15,(2,6)=18,(4,5)=24,(2,7)=25,(5,6)=28,(3,7)=29,(4,7)=30,(6,7)=35,(2,4)=37,(0,1)=39,(0,5)=41,(3,5)=50,(0,6)=51,(0,7)=57,(1,5)=57,(1,3)=63,(2,3)=65,(1,6)=68,(1,2)=97,(3,4)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4, 7: 2}, Find(4)=4, Find(6)=6, Add (4,6)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4, 7: 2}, Find(2)=2, Find(6)=4, Add (2,6)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=24 Failed, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 4, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=25 Failed, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=28 Failed, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=29 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=30 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=35 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=37 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=103\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=41 Succeeded, w=144\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=50 Failed, w=144\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=51 Failed, w=144\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=57 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=57 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=144\",\"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)=65 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=68 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=98 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,2,40],[0,3,41],[0,4,94],[1,3,91],[2,3,25],[2,4,15],[3,4,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,40],[0,3,41],[0,4,94],[1,3,91],[2,3,25],[2,4,15],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,40],[0,3,41],[0,4,94],[1,3,91],[2,3,25],[2,4,15],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,40],[0,3,41],[0,4,94],[1,3,91],[2,3,25],[2,4,15],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=14, w=14\",\"Add (2,4)=15, w=29\",\"Add (0,2)=40, w=69\",\"Add (1,3)=91, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,40],[0,3,41],[0,4,94],[1,3,91],[2,3,25],[2,4,15],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=14 Succeeded, w=14\",\"Add (2,4)=15 Succeeded, w=29\",\"Add (2,3)=25 Failed, w=29\",\"Add (0,2)=40 Succeeded, w=69\",\"Add (0,3)=41 Failed, w=69\",\"Add (1,3)=91 Succeeded, w=160\",\"Add (0,4)=94 Failed, w=160\",\"Add (0,1)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,40],[0,3,41],[0,4,94],[1,3,91],[2,3,25],[2,4,15],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=14,(2,4)=15,(2,3)=25,(0,2)=40,(0,3)=41,(1,3)=91,(0,4)=94,(0,1)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Find(2)=2, Find(4)=3, Add (2,4)=15 Succeeded, w=29\",\"Find(2)=3, Find(3)=3, Add (2,3)=25 Failed, w=29\",\"Find(0)=0, Find(2)=3, Add (0,2)=40 Succeeded, w=69\",\"Find(0)=3, Find(3)=3, Add (0,3)=41 Failed, w=69\",\"Find(1)=1, Find(3)=3, Add (1,3)=91 Succeeded, w=160\",\"Find(0)=3, Find(4)=3, Add (0,4)=94 Failed, w=160\",\"Find(0)=3, Find(1)=3, Add (0,1)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,40],[0,3,41],[0,4,94],[1,3,91],[2,3,25],[2,4,15],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=14,(2,4)=15,(2,3)=25,(0,2)=40,(0,3)=41,(1,3)=91,(0,4)=94,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=25 Failed, w=29\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(2)=3, Add (0,2)=40 Succeeded, w=69\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=41 Failed, w=69\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=91 Succeeded, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=94 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,97],[0,3,36],[1,2,31],[1,3,90],[2,3,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,36],[1,2,31],[1,3,90],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,36],[1,2,31],[1,3,90],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,36],[1,2,31],[1,3,90],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=31, w=31\",\"Add (0,3)=36, w=67\",\"Add (2,3)=80, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,36],[1,2,31],[1,3,90],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=31 Succeeded, w=31\",\"Add (0,3)=36 Succeeded, w=67\",\"Add (2,3)=80 Succeeded, w=147\",\"Add (1,3)=90 Failed, w=147\",\"Add (0,2)=97 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,36],[1,2,31],[1,3,90],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=31,(0,3)=36,(2,3)=80,(1,3)=90,(0,2)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=31\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=67\",\"Find(2)=1, Find(3)=0, Add (2,3)=80 Succeeded, w=147\",\"Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=147\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,97],[0,3,36],[1,2,31],[1,3,90],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=31,(0,3)=36,(2,3)=80,(1,3)=90,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=80 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,13],[0,4,33],[0,6,73],[1,2,96],[1,3,2],[1,4,56],[1,5,79],[2,4,88],[2,5,91],[2,6,66],[3,4,21],[3,6,26],[4,5,5],[5,6,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,4,33],[0,6,73],[1,2,96],[1,3,2],[1,4,56],[1,5,79],[2,4,88],[2,5,91],[2,6,66],[3,4,21],[3,6,26],[4,5,5],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,4,33],[0,6,73],[1,2,96],[1,3,2],[1,4,56],[1,5,79],[2,4,88],[2,5,91],[2,6,66],[3,4,21],[3,6,26],[4,5,5],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (2,6)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,4,33],[0,6,73],[1,2,96],[1,3,2],[1,4,56],[1,5,79],[2,4,88],[2,5,91],[2,6,66],[3,4,21],[3,6,26],[4,5,5],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (4,5)=5, w=7\",\"Add (0,1)=13, w=20\",\"Add (5,6)=14, w=34\",\"Add (3,4)=21, w=55\",\"Add (2,6)=66, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,4,33],[0,6,73],[1,2,96],[1,3,2],[1,4,56],[1,5,79],[2,4,88],[2,5,91],[2,6,66],[3,4,21],[3,6,26],[4,5,5],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (4,5)=5 Succeeded, w=7\",\"Add (0,1)=13 Succeeded, w=20\",\"Add (5,6)=14 Succeeded, w=34\",\"Add (3,4)=21 Succeeded, w=55\",\"Add (3,6)=26 Failed, w=55\",\"Add (0,4)=33 Failed, w=55\",\"Add (1,4)=56 Failed, w=55\",\"Add (2,6)=66 Succeeded, w=121\",\"Add (0,6)=73 Failed, w=121\",\"Add (1,5)=79 Failed, w=121\",\"Add (2,4)=88 Failed, w=121\",\"Add (2,5)=91 Failed, w=121\",\"Add (1,2)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,4,33],[0,6,73],[1,2,96],[1,3,2],[1,4,56],[1,5,79],[2,4,88],[2,5,91],[2,6,66],[3,4,21],[3,6,26],[4,5,5],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(4,5)=5,(0,1)=13,(5,6)=14,(3,4)=21,(3,6)=26,(0,4)=33,(1,4)=56,(2,6)=66,(0,6)=73,(1,5)=79,(2,4)=88,(2,5)=91,(1,2)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=20\",\"Find(5)=4, Find(6)=6, Add (5,6)=14 Succeeded, w=34\",\"Find(3)=1, Find(4)=4, Add (3,4)=21 Succeeded, w=55\",\"Find(3)=1, Find(6)=1, Add (3,6)=26 Failed, w=55\",\"Find(0)=1, Find(4)=1, Add (0,4)=33 Failed, w=55\",\"Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=55\",\"Find(2)=2, Find(6)=1, Add (2,6)=66 Succeeded, w=121\",\"Find(0)=1, Find(6)=1, Add (0,6)=73 Failed, w=121\",\"Find(1)=1, Find(5)=1, Add (1,5)=79 Failed, w=121\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=121\",\"Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=121\",\"Find(1)=1, Find(2)=1, Add (1,2)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,4,33],[0,6,73],[1,2,96],[1,3,2],[1,4,56],[1,5,79],[2,4,88],[2,5,91],[2,6,66],[3,4,21],[3,6,26],[4,5,5],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(4,5)=5,(0,1)=13,(5,6)=14,(3,4)=21,(3,6)=26,(0,4)=33,(1,4)=56,(2,6)=66,(0,6)=73,(1,5)=79,(2,4)=88,(2,5)=91,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=6, Add (5,6)=14 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 4}, Find(3)=1, Find(4)=4, Add (3,4)=21 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=26 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=33 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=66 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=73 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=79 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,4],[0,3,18],[1,3,11],[1,4,93],[2,3,18],[3,4,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,3,18],[1,3,11],[1,4,93],[2,3,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,3,18],[1,3,11],[1,4,93],[2,3,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,3,18],[1,3,11],[1,4,93],[2,3,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (1,3)=11, w=15\",\"Add (2,3)=18, w=33\",\"Add (3,4)=22, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,3,18],[1,3,11],[1,4,93],[2,3,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (1,3)=11 Succeeded, w=15\",\"Add (0,3)=18 Failed, w=15\",\"Add (2,3)=18 Succeeded, w=33\",\"Add (3,4)=22 Succeeded, w=55\",\"Add (1,4)=93 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,3,18],[1,3,11],[1,4,93],[2,3,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,3)=11,(0,3)=18,(2,3)=18,(3,4)=22,(1,4)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(1)=0, Find(3)=3, Add (1,3)=11 Succeeded, w=15\",\"Find(0)=0, Find(3)=0, Add (0,3)=18 Failed, w=15\",\"Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=33\",\"Find(3)=0, Find(4)=4, Add (3,4)=22 Succeeded, w=55\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,3,18],[1,3,11],[1,4,93],[2,3,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,3)=11,(0,3)=18,(2,3)=18,(3,4)=22,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=18 Failed, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=22 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,2,31],[0,3,9],[0,4,40],[0,5,12],[0,6,9],[0,7,19],[1,2,16],[1,3,40],[1,4,38],[1,5,14],[1,6,77],[1,7,92],[2,3,38],[2,4,9],[2,5,74],[2,6,31],[2,7,87],[3,4,7],[3,5,36],[3,6,100],[3,7,51],[4,5,25],[4,6,61],[4,7,19],[5,6,48],[5,7,73],[6,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,31],[0,3,9],[0,4,40],[0,5,12],[0,6,9],[0,7,19],[1,2,16],[1,3,40],[1,4,38],[1,5,14],[1,6,77],[1,7,92],[2,3,38],[2,4,9],[2,5,74],[2,6,31],[2,7,87],[3,4,7],[3,5,36],[3,6,100],[3,7,51],[4,5,25],[4,6,61],[4,7,19],[5,6,48],[5,7,73],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,31],[0,3,9],[0,4,40],[0,5,12],[0,6,9],[0,7,19],[1,2,16],[1,3,40],[1,4,38],[1,5,14],[1,6,77],[1,7,92],[2,3,38],[2,4,9],[2,5,74],[2,6,31],[2,7,87],[3,4,7],[3,5,36],[3,6,100],[3,7,51],[4,5,25],[4,6,61],[4,7,19],[5,6,48],[5,7,73],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (0,7)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,31],[0,3,9],[0,4,40],[0,5,12],[0,6,9],[0,7,19],[1,2,16],[1,3,40],[1,4,38],[1,5,14],[1,6,77],[1,7,92],[2,3,38],[2,4,9],[2,5,74],[2,6,31],[2,7,87],[3,4,7],[3,5,36],[3,6,100],[3,7,51],[4,5,25],[4,6,61],[4,7,19],[5,6,48],[5,7,73],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7, w=7\",\"Add (0,3)=9, w=16\",\"Add (0,6)=9, w=25\",\"Add (2,4)=9, w=34\",\"Add (0,5)=12, w=46\",\"Add (1,5)=14, w=60\",\"Add (0,7)=19, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,31],[0,3,9],[0,4,40],[0,5,12],[0,6,9],[0,7,19],[1,2,16],[1,3,40],[1,4,38],[1,5,14],[1,6,77],[1,7,92],[2,3,38],[2,4,9],[2,5,74],[2,6,31],[2,7,87],[3,4,7],[3,5,36],[3,6,100],[3,7,51],[4,5,25],[4,6,61],[4,7,19],[5,6,48],[5,7,73],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7 Succeeded, w=7\",\"Add (0,3)=9 Succeeded, w=16\",\"Add (0,6)=9 Succeeded, w=25\",\"Add (2,4)=9 Succeeded, w=34\",\"Add (0,5)=12 Succeeded, w=46\",\"Add (1,5)=14 Succeeded, w=60\",\"Add (1,2)=16 Failed, w=60\",\"Add (0,7)=19 Succeeded, w=79\",\"Add (4,7)=19 Failed, w=79\",\"Add (4,5)=25 Failed, w=79\",\"Add (0,2)=31 Failed, w=79\",\"Add (2,6)=31 Failed, w=79\",\"Add (3,5)=36 Failed, w=79\",\"Add (1,4)=38 Failed, w=79\",\"Add (2,3)=38 Failed, w=79\",\"Add (0,4)=40 Failed, w=79\",\"Add (1,3)=40 Failed, w=79\",\"Add (5,6)=48 Failed, w=79\",\"Add (3,7)=51 Failed, w=79\",\"Add (4,6)=61 Failed, w=79\",\"Add (0,1)=67 Failed, w=79\",\"Add (5,7)=73 Failed, w=79\",\"Add (6,7)=73 Failed, w=79\",\"Add (2,5)=74 Failed, w=79\",\"Add (1,6)=77 Failed, w=79\",\"Add (2,7)=87 Failed, w=79\",\"Add (1,7)=92 Failed, w=79\",\"Add (3,6)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,31],[0,3,9],[0,4,40],[0,5,12],[0,6,9],[0,7,19],[1,2,16],[1,3,40],[1,4,38],[1,5,14],[1,6,77],[1,7,92],[2,3,38],[2,4,9],[2,5,74],[2,6,31],[2,7,87],[3,4,7],[3,5,36],[3,6,100],[3,7,51],[4,5,25],[4,6,61],[4,7,19],[5,6,48],[5,7,73],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(0,3)=9,(0,6)=9,(2,4)=9,(0,5)=12,(1,5)=14,(1,2)=16,(0,7)=19,(4,7)=19,(4,5)=25,(0,2)=31,(2,6)=31,(3,5)=36,(1,4)=38,(2,3)=38,(0,4)=40,(1,3)=40,(5,6)=48,(3,7)=51,(4,6)=61,(0,1)=67,(5,7)=73,(6,7)=73,(2,5)=74,(1,6)=77,(2,7)=87,(1,7)=92,(3,6)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=16\",\"Find(0)=3, Find(6)=6, Add (0,6)=9 Succeeded, w=25\",\"Find(2)=2, Find(4)=3, Add (2,4)=9 Succeeded, w=34\",\"Find(0)=3, Find(5)=5, Add (0,5)=12 Succeeded, w=46\",\"Find(1)=1, Find(5)=3, Add (1,5)=14 Succeeded, w=60\",\"Find(1)=3, Find(2)=3, Add (1,2)=16 Failed, w=60\",\"Find(0)=3, Find(7)=7, Add (0,7)=19 Succeeded, w=79\",\"Find(4)=3, Find(7)=3, Add (4,7)=19 Failed, w=79\",\"Find(4)=3, Find(5)=3, Add (4,5)=25 Failed, w=79\",\"Find(0)=3, Find(2)=3, Add (0,2)=31 Failed, w=79\",\"Find(2)=3, Find(6)=3, Add (2,6)=31 Failed, w=79\",\"Find(3)=3, Find(5)=3, Add (3,5)=36 Failed, w=79\",\"Find(1)=3, Find(4)=3, Add (1,4)=38 Failed, w=79\",\"Find(2)=3, Find(3)=3, Add (2,3)=38 Failed, w=79\",\"Find(0)=3, Find(4)=3, Add (0,4)=40 Failed, w=79\",\"Find(1)=3, Find(3)=3, Add (1,3)=40 Failed, w=79\",\"Find(5)=3, Find(6)=3, Add (5,6)=48 Failed, w=79\",\"Find(3)=3, Find(7)=3, Add (3,7)=51 Failed, w=79\",\"Find(4)=3, Find(6)=3, Add (4,6)=61 Failed, w=79\",\"Find(0)=3, Find(1)=3, Add (0,1)=67 Failed, w=79\",\"Find(5)=3, Find(7)=3, Add (5,7)=73 Failed, w=79\",\"Find(6)=3, Find(7)=3, Add (6,7)=73 Failed, w=79\",\"Find(2)=3, Find(5)=3, Add (2,5)=74 Failed, w=79\",\"Find(1)=3, Find(6)=3, Add (1,6)=77 Failed, w=79\",\"Find(2)=3, Find(7)=3, Add (2,7)=87 Failed, w=79\",\"Find(1)=3, Find(7)=3, Add (1,7)=92 Failed, w=79\",\"Find(3)=3, Find(6)=3, Add (3,6)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,31],[0,3,9],[0,4,40],[0,5,12],[0,6,9],[0,7,19],[1,2,16],[1,3,40],[1,4,38],[1,5,14],[1,6,77],[1,7,92],[2,3,38],[2,4,9],[2,5,74],[2,6,31],[2,7,87],[3,4,7],[3,5,36],[3,6,100],[3,7,51],[4,5,25],[4,6,61],[4,7,19],[5,6,48],[5,7,73],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(0,3)=9,(0,6)=9,(2,4)=9,(0,5)=12,(1,5)=14,(1,2)=16,(0,7)=19,(4,7)=19,(4,5)=25,(0,2)=31,(2,6)=31,(3,5)=36,(1,4)=38,(2,3)=38,(0,4)=40,(1,3)=40,(5,6)=48,(3,7)=51,(4,6)=61,(0,1)=67,(5,7)=73,(6,7)=73,(2,5)=74,(1,6)=77,(2,7)=87,(1,7)=92,(3,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=16\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(0)=3, Find(6)=6, Add (0,6)=9 Succeeded, w=25\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(2)=2, Find(4)=3, Add (2,4)=9 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(0)=3, Find(5)=5, Add (0,5)=12 Succeeded, w=46\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=1, Find(5)=3, Add (1,5)=14 Succeeded, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=3, Find(2)=3, Add (1,2)=16 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=7, Add (0,7)=19 Succeeded, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=19 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=25 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=31 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=31 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=36 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=38 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=38 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=40 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=40 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=48 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=51 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=61 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=67 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=73 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=73 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=74 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=77 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=87 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=92 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=100 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,36],[0,2,52],[0,3,22],[1,2,36],[1,3,41],[1,4,48],[1,6,100],[2,3,67],[2,5,14],[3,4,78],[4,6,77],[5,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,52],[0,3,22],[1,2,36],[1,3,41],[1,4,48],[1,6,100],[2,3,67],[2,5,14],[3,4,78],[4,6,77],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,52],[0,3,22],[1,2,36],[1,3,41],[1,4,48],[1,6,100],[2,3,67],[2,5,14],[3,4,78],[4,6,77],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,52],[0,3,22],[1,2,36],[1,3,41],[1,4,48],[1,6,100],[2,3,67],[2,5,14],[3,4,78],[4,6,77],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7, w=7\",\"Add (2,5)=14, w=21\",\"Add (0,3)=22, w=43\",\"Add (0,1)=36, w=79\",\"Add (1,2)=36, w=115\",\"Add (1,4)=48, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,52],[0,3,22],[1,2,36],[1,3,41],[1,4,48],[1,6,100],[2,3,67],[2,5,14],[3,4,78],[4,6,77],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7 Succeeded, w=7\",\"Add (2,5)=14 Succeeded, w=21\",\"Add (0,3)=22 Succeeded, w=43\",\"Add (0,1)=36 Succeeded, w=79\",\"Add (1,2)=36 Succeeded, w=115\",\"Add (1,3)=41 Failed, w=115\",\"Add (1,4)=48 Succeeded, w=163\",\"Add (0,2)=52 Failed, w=163\",\"Add (2,3)=67 Failed, w=163\",\"Add (4,6)=77 Failed, w=163\",\"Add (3,4)=78 Failed, w=163\",\"Add (1,6)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,52],[0,3,22],[1,2,36],[1,3,41],[1,4,48],[1,6,100],[2,3,67],[2,5,14],[3,4,78],[4,6,77],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(2,5)=14,(0,3)=22,(0,1)=36,(1,2)=36,(1,3)=41,(1,4)=48,(0,2)=52,(2,3)=67,(4,6)=77,(3,4)=78,(1,6)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=79\",\"Find(1)=0, Find(2)=5, Add (1,2)=36 Succeeded, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=115\",\"Find(1)=0, Find(4)=4, Add (1,4)=48 Succeeded, w=163\",\"Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=163\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=163\",\"Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=163\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=163\",\"Find(1)=0, Find(6)=0, Add (1,6)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,36],[0,2,52],[0,3,22],[1,2,36],[1,3,41],[1,4,48],[1,6,100],[2,3,67],[2,5,14],[3,4,78],[4,6,77],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(2,5)=14,(0,3)=22,(0,1)=36,(1,2)=36,(1,3)=41,(1,4)=48,(0,2)=52,(2,3)=67,(4,6)=77,(3,4)=78,(1,6)=100]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 0, 6: 5}, Find(1)=0, Find(2)=5, Add (1,2)=36 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 0, 6: 5}, Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(4)=4, Add (1,4)=48 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,58],[0,2,33],[1,2,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,33],[1,2,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,33],[1,2,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,33],[1,2,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=33, w=33\",\"Add (0,1)=58, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,33],[1,2,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=33 Succeeded, w=33\",\"Add (0,1)=58 Succeeded, w=91\",\"Add (1,2)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,33],[1,2,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=33,(0,1)=58,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=91\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,33],[1,2,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=33,(0,1)=58,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,1],[0,2,31],[0,3,14],[0,4,12],[1,2,21],[1,5,24],[4,5,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,1],[0,2,31],[0,3,14],[0,4,12],[1,2,21],[1,5,24],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,1],[0,2,31],[0,3,14],[0,4,12],[1,2,21],[1,5,24],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,1],[0,2,31],[0,3,14],[0,4,12],[1,2,21],[1,5,24],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (0,4)=12, w=13\",\"Add (0,3)=14, w=27\",\"Add (4,5)=17, w=44\",\"Add (1,2)=21, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,1],[0,2,31],[0,3,14],[0,4,12],[1,2,21],[1,5,24],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,4)=12 Succeeded, w=13\",\"Add (0,3)=14 Succeeded, w=27\",\"Add (4,5)=17 Succeeded, w=44\",\"Add (1,2)=21 Succeeded, w=65\",\"Add (1,5)=24 Failed, w=65\",\"Add (0,2)=31 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,1],[0,2,31],[0,3,14],[0,4,12],[1,2,21],[1,5,24],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,4)=12,(0,3)=14,(4,5)=17,(1,2)=21,(1,5)=24,(0,2)=31]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=27\",\"Find(4)=0, Find(5)=5, Add (4,5)=17 Succeeded, w=44\",\"Find(1)=0, Find(2)=2, Add (1,2)=21 Succeeded, w=65\",\"Find(1)=0, Find(5)=0, Add (1,5)=24 Failed, w=65\",\"Find(0)=0, Find(2)=0, Add (0,2)=31 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,1],[0,2,31],[0,3,14],[0,4,12],[1,2,21],[1,5,24],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,4)=12,(0,3)=14,(4,5)=17,(1,2)=21,(1,5)=24,(0,2)=31]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=17 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=21 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=24 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=31 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,3,62],[1,2,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,62],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,62],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,62],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=52, w=52\",\"Add (0,3)=62, w=114\",\"Add (1,2)=95, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,62],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=52 Succeeded, w=52\",\"Add (0,3)=62 Succeeded, w=114\",\"Add (1,2)=95 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,62],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=52,(0,3)=62,(1,2)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=52\",\"Find(0)=0, Find(3)=3, Add (0,3)=62 Succeeded, w=114\",\"Find(1)=0, Find(2)=2, Add (1,2)=95 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,62],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=52,(0,3)=62,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=62 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=95 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,81],[1,2,10],[1,3,90],[2,3,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[1,2,10],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[1,2,10],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[1,2,10],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (2,3)=49, w=59\",\"Add (0,2)=81, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[1,2,10],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (2,3)=49 Succeeded, w=59\",\"Add (0,2)=81 Succeeded, w=140\",\"Add (1,3)=90 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[1,2,10],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,3)=49,(0,2)=81,(1,3)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(2)=1, Find(3)=3, Add (2,3)=49 Succeeded, w=59\",\"Find(0)=0, Find(2)=1, Add (0,2)=81 Succeeded, w=140\",\"Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[1,2,10],[1,3,90],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,3)=49,(0,2)=81,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=49 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=81 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,0],[0,3,94],[0,4,46],[0,5,62],[1,3,0],[1,4,53],[2,4,96],[2,5,42],[3,5,3],[4,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,0],[0,3,94],[0,4,46],[0,5,62],[1,3,0],[1,4,53],[2,4,96],[2,5,42],[3,5,3],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,0],[0,3,94],[0,4,46],[0,5,62],[1,3,0],[1,4,53],[2,4,96],[2,5,42],[3,5,3],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (2,5)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,0],[0,3,94],[0,4,46],[0,5,62],[1,3,0],[1,4,53],[2,4,96],[2,5,42],[3,5,3],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (1,3)=0, w=0\",\"Add (3,5)=3, w=3\",\"Add (4,5)=38, w=41\",\"Add (2,5)=42, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,0],[0,3,94],[0,4,46],[0,5,62],[1,3,0],[1,4,53],[2,4,96],[2,5,42],[3,5,3],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (1,3)=0 Succeeded, w=0\",\"Add (3,5)=3 Succeeded, w=3\",\"Add (4,5)=38 Succeeded, w=41\",\"Add (2,5)=42 Succeeded, w=83\",\"Add (0,4)=46 Failed, w=83\",\"Add (1,4)=53 Failed, w=83\",\"Add (0,5)=62 Failed, w=83\",\"Add (0,3)=94 Failed, w=83\",\"Add (2,4)=96 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,0],[0,3,94],[0,4,46],[0,5,62],[1,3,0],[1,4,53],[2,4,96],[2,5,42],[3,5,3],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=0,(3,5)=3,(4,5)=38,(2,5)=42,(0,4)=46,(1,4)=53,(0,5)=62,(0,3)=94,(2,4)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(1)=0, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(3)=0, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=0, Add (4,5)=38 Succeeded, w=41\",\"Find(2)=2, Find(5)=0, Add (2,5)=42 Succeeded, w=83\",\"Find(0)=0, Find(4)=0, Add (0,4)=46 Failed, w=83\",\"Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=83\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=83\",\"Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=83\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,0],[0,3,94],[0,4,46],[0,5,62],[1,3,0],[1,4,53],[2,4,96],[2,5,42],[3,5,3],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=0,(3,5)=3,(4,5)=38,(2,5)=42,(0,4)=46,(1,4)=53,(0,5)=62,(0,3)=94,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=38 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=42 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=46 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,61],[1,2,98],[1,3,44],[2,3,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[1,2,98],[1,3,44],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[1,2,98],[1,3,44],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[1,2,98],[1,3,44],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (1,3)=44, w=47\",\"Add (0,2)=61, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[1,2,98],[1,3,44],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,3)=44 Succeeded, w=47\",\"Add (0,2)=61 Succeeded, w=108\",\"Add (1,2)=98 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[1,2,98],[1,3,44],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,3)=44,(0,2)=61,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=2, Add (1,3)=44 Succeeded, w=47\",\"Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=108\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,61],[1,2,98],[1,3,44],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,3)=44,(0,2)=61,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=44 Succeeded, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,2,85],[0,3,35],[0,4,56],[0,5,82],[0,6,13],[1,2,99],[1,4,65],[1,5,6],[2,3,50],[2,4,61],[2,5,61],[3,4,58],[3,5,22],[3,6,28],[4,5,43],[4,6,54],[5,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,85],[0,3,35],[0,4,56],[0,5,82],[0,6,13],[1,2,99],[1,4,65],[1,5,6],[2,3,50],[2,4,61],[2,5,61],[3,4,58],[3,5,22],[3,6,28],[4,5,43],[4,6,54],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,85],[0,3,35],[0,4,56],[0,5,82],[0,6,13],[1,2,99],[1,4,65],[1,5,6],[2,3,50],[2,4,61],[2,5,61],[3,4,58],[3,5,22],[3,6,28],[4,5,43],[4,6,54],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,85],[0,3,35],[0,4,56],[0,5,82],[0,6,13],[1,2,99],[1,4,65],[1,5,6],[2,3,50],[2,4,61],[2,5,61],[3,4,58],[3,5,22],[3,6,28],[4,5,43],[4,6,54],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6, w=6\",\"Add (5,6)=7, w=13\",\"Add (0,6)=13, w=26\",\"Add (3,5)=22, w=48\",\"Add (4,5)=43, w=91\",\"Add (2,3)=50, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,85],[0,3,35],[0,4,56],[0,5,82],[0,6,13],[1,2,99],[1,4,65],[1,5,6],[2,3,50],[2,4,61],[2,5,61],[3,4,58],[3,5,22],[3,6,28],[4,5,43],[4,6,54],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6 Succeeded, w=6\",\"Add (5,6)=7 Succeeded, w=13\",\"Add (0,6)=13 Succeeded, w=26\",\"Add (3,5)=22 Succeeded, w=48\",\"Add (3,6)=28 Failed, w=48\",\"Add (0,3)=35 Failed, w=48\",\"Add (4,5)=43 Succeeded, w=91\",\"Add (2,3)=50 Succeeded, w=141\",\"Add (4,6)=54 Failed, w=141\",\"Add (0,4)=56 Failed, w=141\",\"Add (3,4)=58 Failed, w=141\",\"Add (2,4)=61 Failed, w=141\",\"Add (2,5)=61 Failed, w=141\",\"Add (1,4)=65 Failed, w=141\",\"Add (0,1)=71 Failed, w=141\",\"Add (0,5)=82 Failed, w=141\",\"Add (0,2)=85 Failed, w=141\",\"Add (1,2)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,85],[0,3,35],[0,4,56],[0,5,82],[0,6,13],[1,2,99],[1,4,65],[1,5,6],[2,3,50],[2,4,61],[2,5,61],[3,4,58],[3,5,22],[3,6,28],[4,5,43],[4,6,54],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(5,6)=7,(0,6)=13,(3,5)=22,(3,6)=28,(0,3)=35,(4,5)=43,(2,3)=50,(4,6)=54,(0,4)=56,(3,4)=58,(2,4)=61,(2,5)=61,(1,4)=65,(0,1)=71,(0,5)=82,(0,2)=85,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Find(5)=1, Find(6)=6, Add (5,6)=7 Succeeded, w=13\",\"Find(0)=0, Find(6)=1, Add (0,6)=13 Succeeded, w=26\",\"Find(3)=3, Find(5)=1, Add (3,5)=22 Succeeded, w=48\",\"Find(3)=1, Find(6)=1, Add (3,6)=28 Failed, w=48\",\"Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=48\",\"Find(4)=4, Find(5)=1, Add (4,5)=43 Succeeded, w=91\",\"Find(2)=2, Find(3)=1, Add (2,3)=50 Succeeded, w=141\",\"Find(4)=1, Find(6)=1, Add (4,6)=54 Failed, w=141\",\"Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=141\",\"Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=141\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=141\",\"Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=141\",\"Find(1)=1, Find(4)=1, Add (1,4)=65 Failed, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=141\",\"Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=141\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=141\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,85],[0,3,35],[0,4,56],[0,5,82],[0,6,13],[1,2,99],[1,4,65],[1,5,6],[2,3,50],[2,4,61],[2,5,61],[3,4,58],[3,5,22],[3,6,28],[4,5,43],[4,6,54],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(5,6)=7,(0,6)=13,(3,5)=22,(3,6)=28,(0,3)=35,(4,5)=43,(2,3)=50,(4,6)=54,(0,4)=56,(3,4)=58,(2,4)=61,(2,5)=61,(1,4)=65,(0,1)=71,(0,5)=82,(0,2)=85,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=7 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=13 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=3, Find(5)=1, Add (3,5)=22 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=28 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=4, Find(5)=1, Add (4,5)=43 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(3)=1, Add (2,3)=50 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=54 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=65 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,88],[0,3,50],[0,4,29],[1,2,68],[1,4,0],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,88],[0,3,50],[0,4,29],[1,2,68],[1,4,0],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,88],[0,3,50],[0,4,29],[1,2,68],[1,4,0],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,88],[0,3,50],[0,4,29],[1,2,68],[1,4,0],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,4)=29, w=29\",\"Add (0,3)=50, w=79\",\"Add (1,2)=68, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,88],[0,3,50],[0,4,29],[1,2,68],[1,4,0],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,4)=29 Succeeded, w=29\",\"Add (0,3)=50 Succeeded, w=79\",\"Add (1,2)=68 Succeeded, w=147\",\"Add (0,1)=78 Failed, w=147\",\"Add (0,2)=88 Failed, w=147\",\"Add (3,4)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,88],[0,3,50],[0,4,29],[1,2,68],[1,4,0],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,4)=29,(0,3)=50,(1,2)=68,(0,1)=78,(0,2)=88,(3,4)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=1, Add (0,4)=29 Succeeded, w=29\",\"Find(0)=1, Find(3)=3, Add (0,3)=50 Succeeded, w=79\",\"Find(1)=1, Find(2)=2, Add (1,2)=68 Succeeded, w=147\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=147\",\"Find(0)=1, Find(2)=1, Add (0,2)=88 Failed, w=147\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,88],[0,3,50],[0,4,29],[1,2,68],[1,4,0],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,4)=29,(0,3)=50,(1,2)=68,(0,1)=78,(0,2)=88,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=29 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=50 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=68 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=88 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,69],[0,3,46],[0,4,87],[1,2,53],[1,3,50],[1,4,4],[2,3,57],[2,4,54],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,69],[0,3,46],[0,4,87],[1,2,53],[1,3,50],[1,4,4],[2,3,57],[2,4,54],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,69],[0,3,46],[0,4,87],[1,2,53],[1,3,50],[1,4,4],[2,3,57],[2,4,54],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,69],[0,3,46],[0,4,87],[1,2,53],[1,3,50],[1,4,4],[2,3,57],[2,4,54],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (0,3)=46, w=50\",\"Add (1,3)=50, w=100\",\"Add (1,2)=53, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,69],[0,3,46],[0,4,87],[1,2,53],[1,3,50],[1,4,4],[2,3,57],[2,4,54],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (0,3)=46 Succeeded, w=50\",\"Add (1,3)=50 Succeeded, w=100\",\"Add (1,2)=53 Succeeded, w=153\",\"Add (2,4)=54 Failed, w=153\",\"Add (0,1)=57 Failed, w=153\",\"Add (2,3)=57 Failed, w=153\",\"Add (0,2)=69 Failed, w=153\",\"Add (3,4)=81 Failed, w=153\",\"Add (0,4)=87 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,69],[0,3,46],[0,4,87],[1,2,53],[1,3,50],[1,4,4],[2,3,57],[2,4,54],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,3)=46,(1,3)=50,(1,2)=53,(2,4)=54,(0,1)=57,(2,3)=57,(0,2)=69,(3,4)=81,(0,4)=87]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=50\",\"Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=100\",\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=153\",\"Find(2)=1, Find(4)=1, Add (2,4)=54 Failed, w=153\",\"Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=153\",\"Find(2)=1, Find(3)=1, Add (2,3)=57 Failed, w=153\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=153\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=153\",\"Find(0)=1, Find(4)=1, Add (0,4)=87 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,69],[0,3,46],[0,4,87],[1,2,53],[1,3,50],[1,4,4],[2,3,57],[2,4,54],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,3)=46,(1,3)=50,(1,2)=53,(2,4)=54,(0,1)=57,(2,3)=57,(0,2)=69,(3,4)=81,(0,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=54 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=57 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=87 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,72],[0,3,63],[0,4,88],[1,2,56],[1,3,90],[2,3,93],[3,4,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,72],[0,3,63],[0,4,88],[1,2,56],[1,3,90],[2,3,93],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,72],[0,3,63],[0,4,88],[1,2,56],[1,3,90],[2,3,93],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,72],[0,3,63],[0,4,88],[1,2,56],[1,3,90],[2,3,93],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=32, w=32\",\"Add (3,4)=50, w=82\",\"Add (1,2)=56, w=138\",\"Add (0,3)=63, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,72],[0,3,63],[0,4,88],[1,2,56],[1,3,90],[2,3,93],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=32 Succeeded, w=32\",\"Add (3,4)=50 Succeeded, w=82\",\"Add (1,2)=56 Succeeded, w=138\",\"Add (0,3)=63 Succeeded, w=201\",\"Add (0,2)=72 Failed, w=201\",\"Add (0,4)=88 Failed, w=201\",\"Add (1,3)=90 Failed, w=201\",\"Add (2,3)=93 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,72],[0,3,63],[0,4,88],[1,2,56],[1,3,90],[2,3,93],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=32,(3,4)=50,(1,2)=56,(0,3)=63,(0,2)=72,(0,4)=88,(1,3)=90,(2,3)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=32\",\"Find(3)=3, Find(4)=4, Add (3,4)=50 Succeeded, w=82\",\"Find(1)=0, Find(2)=2, Add (1,2)=56 Succeeded, w=138\",\"Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=201\",\"Find(0)=0, Find(2)=0, Add (0,2)=72 Failed, w=201\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=201\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=201\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,72],[0,3,63],[0,4,88],[1,2,56],[1,3,90],[2,3,93],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=32,(3,4)=50,(1,2)=56,(0,3)=63,(0,2)=72,(0,4)=88,(1,3)=90,(2,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=50 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(1)=0, Find(2)=2, Add (1,2)=56 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=0, Add (0,2)=72 Failed, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,13],[0,4,32],[0,5,80],[1,2,74],[1,4,36],[1,5,28],[2,3,13],[2,4,36],[2,5,26],[3,4,8],[3,5,94],[4,5,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,13],[0,4,32],[0,5,80],[1,2,74],[1,4,36],[1,5,28],[2,3,13],[2,4,36],[2,5,26],[3,4,8],[3,5,94],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,13],[0,4,32],[0,5,80],[1,2,74],[1,4,36],[1,5,28],[2,3,13],[2,4,36],[2,5,26],[3,4,8],[3,5,94],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (1,5)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,13],[0,4,32],[0,5,80],[1,2,74],[1,4,36],[1,5,28],[2,3,13],[2,4,36],[2,5,26],[3,4,8],[3,5,94],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (0,3)=13, w=21\",\"Add (2,3)=13, w=34\",\"Add (2,5)=26, w=60\",\"Add (1,5)=28, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,13],[0,4,32],[0,5,80],[1,2,74],[1,4,36],[1,5,28],[2,3,13],[2,4,36],[2,5,26],[3,4,8],[3,5,94],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (0,3)=13 Succeeded, w=21\",\"Add (2,3)=13 Succeeded, w=34\",\"Add (2,5)=26 Succeeded, w=60\",\"Add (1,5)=28 Succeeded, w=88\",\"Add (0,4)=32 Failed, w=88\",\"Add (1,4)=36 Failed, w=88\",\"Add (2,4)=36 Failed, w=88\",\"Add (4,5)=42 Failed, w=88\",\"Add (1,2)=74 Failed, w=88\",\"Add (0,5)=80 Failed, w=88\",\"Add (3,5)=94 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,13],[0,4,32],[0,5,80],[1,2,74],[1,4,36],[1,5,28],[2,3,13],[2,4,36],[2,5,26],[3,4,8],[3,5,94],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(0,3)=13,(2,3)=13,(2,5)=26,(1,5)=28,(0,4)=32,(1,4)=36,(2,4)=36,(4,5)=42,(1,2)=74,(0,5)=80,(3,5)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=21\",\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=34\",\"Find(2)=3, Find(5)=5, Add (2,5)=26 Succeeded, w=60\",\"Find(1)=1, Find(5)=3, Add (1,5)=28 Succeeded, w=88\",\"Find(0)=3, Find(4)=3, Add (0,4)=32 Failed, w=88\",\"Find(1)=3, Find(4)=3, Add (1,4)=36 Failed, w=88\",\"Find(2)=3, Find(4)=3, Add (2,4)=36 Failed, w=88\",\"Find(4)=3, Find(5)=3, Add (4,5)=42 Failed, w=88\",\"Find(1)=3, Find(2)=3, Add (1,2)=74 Failed, w=88\",\"Find(0)=3, Find(5)=3, Add (0,5)=80 Failed, w=88\",\"Find(3)=3, Find(5)=3, Add (3,5)=94 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,13],[0,4,32],[0,5,80],[1,2,74],[1,4,36],[1,5,28],[2,3,13],[2,4,36],[2,5,26],[3,4,8],[3,5,94],[4,5,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(0,3)=13,(2,3)=13,(2,5)=26,(1,5)=28,(0,4)=32,(1,4)=36,(2,4)=36,(4,5)=42,(1,2)=74,(0,5)=80,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=21\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=5, Add (2,5)=26 Succeeded, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=28 Succeeded, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=32 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=36 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=36 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=42 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=74 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=80 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=94 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,53],[0,2,69],[0,4,61],[0,5,53],[0,6,43],[0,7,29],[1,2,92],[1,3,13],[1,4,56],[1,5,73],[1,6,21],[1,7,81],[2,3,71],[2,4,32],[2,5,42],[2,6,53],[2,7,81],[3,4,36],[3,5,90],[3,6,81],[3,7,88],[4,5,46],[4,6,85],[4,7,51],[5,6,4],[5,7,39],[6,7,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,69],[0,4,61],[0,5,53],[0,6,43],[0,7,29],[1,2,92],[1,3,13],[1,4,56],[1,5,73],[1,6,21],[1,7,81],[2,3,71],[2,4,32],[2,5,42],[2,6,53],[2,7,81],[3,4,36],[3,5,90],[3,6,81],[3,7,88],[4,5,46],[4,6,85],[4,7,51],[5,6,4],[5,7,39],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,69],[0,4,61],[0,5,53],[0,6,43],[0,7,29],[1,2,92],[1,3,13],[1,4,56],[1,5,73],[1,6,21],[1,7,81],[2,3,71],[2,4,32],[2,5,42],[2,6,53],[2,7,81],[3,4,36],[3,5,90],[3,6,81],[3,7,88],[4,5,46],[4,6,85],[4,7,51],[5,6,4],[5,7,39],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (5,7)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,69],[0,4,61],[0,5,53],[0,6,43],[0,7,29],[1,2,92],[1,3,13],[1,4,56],[1,5,73],[1,6,21],[1,7,81],[2,3,71],[2,4,32],[2,5,42],[2,6,53],[2,7,81],[3,4,36],[3,5,90],[3,6,81],[3,7,88],[4,5,46],[4,6,85],[4,7,51],[5,6,4],[5,7,39],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (1,3)=13, w=17\",\"Add (1,6)=21, w=38\",\"Add (0,7)=29, w=67\",\"Add (2,4)=32, w=99\",\"Add (3,4)=36, w=135\",\"Add (5,7)=39, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,69],[0,4,61],[0,5,53],[0,6,43],[0,7,29],[1,2,92],[1,3,13],[1,4,56],[1,5,73],[1,6,21],[1,7,81],[2,3,71],[2,4,32],[2,5,42],[2,6,53],[2,7,81],[3,4,36],[3,5,90],[3,6,81],[3,7,88],[4,5,46],[4,6,85],[4,7,51],[5,6,4],[5,7,39],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (1,3)=13 Succeeded, w=17\",\"Add (1,6)=21 Succeeded, w=38\",\"Add (0,7)=29 Succeeded, w=67\",\"Add (2,4)=32 Succeeded, w=99\",\"Add (3,4)=36 Succeeded, w=135\",\"Add (5,7)=39 Succeeded, w=174\",\"Add (2,5)=42 Failed, w=174\",\"Add (0,6)=43 Failed, w=174\",\"Add (4,5)=46 Failed, w=174\",\"Add (4,7)=51 Failed, w=174\",\"Add (0,1)=53 Failed, w=174\",\"Add (0,5)=53 Failed, w=174\",\"Add (2,6)=53 Failed, w=174\",\"Add (6,7)=54 Failed, w=174\",\"Add (1,4)=56 Failed, w=174\",\"Add (0,4)=61 Failed, w=174\",\"Add (0,2)=69 Failed, w=174\",\"Add (2,3)=71 Failed, w=174\",\"Add (1,5)=73 Failed, w=174\",\"Add (1,7)=81 Failed, w=174\",\"Add (2,7)=81 Failed, w=174\",\"Add (3,6)=81 Failed, w=174\",\"Add (4,6)=85 Failed, w=174\",\"Add (3,7)=88 Failed, w=174\",\"Add (3,5)=90 Failed, w=174\",\"Add (1,2)=92 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,69],[0,4,61],[0,5,53],[0,6,43],[0,7,29],[1,2,92],[1,3,13],[1,4,56],[1,5,73],[1,6,21],[1,7,81],[2,3,71],[2,4,32],[2,5,42],[2,6,53],[2,7,81],[3,4,36],[3,5,90],[3,6,81],[3,7,88],[4,5,46],[4,6,85],[4,7,51],[5,6,4],[5,7,39],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(1,3)=13,(1,6)=21,(0,7)=29,(2,4)=32,(3,4)=36,(5,7)=39,(2,5)=42,(0,6)=43,(4,5)=46,(4,7)=51,(0,1)=53,(0,5)=53,(2,6)=53,(6,7)=54,(1,4)=56,(0,4)=61,(0,2)=69,(2,3)=71,(1,5)=73,(1,7)=81,(2,7)=81,(3,6)=81,(4,6)=85,(3,7)=88,(3,5)=90,(1,2)=92]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=17\",\"Find(1)=1, Find(6)=5, Add (1,6)=21 Succeeded, w=38\",\"Find(0)=0, Find(7)=7, Add (0,7)=29 Succeeded, w=67\",\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=99\",\"Find(3)=1, Find(4)=2, Add (3,4)=36 Succeeded, w=135\",\"Find(5)=1, Find(7)=0, Add (5,7)=39 Succeeded, w=174\",\"Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=174\",\"Find(0)=1, Find(6)=1, Add (0,6)=43 Failed, w=174\",\"Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=174\",\"Find(4)=1, Find(7)=1, Add (4,7)=51 Failed, w=174\",\"Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=174\",\"Find(0)=1, Find(5)=1, Add (0,5)=53 Failed, w=174\",\"Find(2)=1, Find(6)=1, Add (2,6)=53 Failed, w=174\",\"Find(6)=1, Find(7)=1, Add (6,7)=54 Failed, w=174\",\"Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=174\",\"Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=174\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=174\",\"Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=174\",\"Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=174\",\"Find(1)=1, Find(7)=1, Add (1,7)=81 Failed, w=174\",\"Find(2)=1, Find(7)=1, Add (2,7)=81 Failed, w=174\",\"Find(3)=1, Find(6)=1, Add (3,6)=81 Failed, w=174\",\"Find(4)=1, Find(6)=1, Add (4,6)=85 Failed, w=174\",\"Find(3)=1, Find(7)=1, Add (3,7)=88 Failed, w=174\",\"Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=174\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,69],[0,4,61],[0,5,53],[0,6,43],[0,7,29],[1,2,92],[1,3,13],[1,4,56],[1,5,73],[1,6,21],[1,7,81],[2,3,71],[2,4,32],[2,5,42],[2,6,53],[2,7,81],[3,4,36],[3,5,90],[3,6,81],[3,7,88],[4,5,46],[4,6,85],[4,7,51],[5,6,4],[5,7,39],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(1,3)=13,(1,6)=21,(0,7)=29,(2,4)=32,(3,4)=36,(5,7)=39,(2,5)=42,(0,6)=43,(4,5)=46,(4,7)=51,(0,1)=53,(0,5)=53,(2,6)=53,(6,7)=54,(1,4)=56,(0,4)=61,(0,2)=69,(2,3)=71,(1,5)=73,(1,7)=81,(2,7)=81,(3,6)=81,(4,6)=85,(3,7)=88,(3,5)=90,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 5, 7: 7}, Find(1)=1, Find(6)=5, Add (1,6)=21 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 5, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=29 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 5, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=99\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 5, 7: 0}, Find(3)=1, Find(4)=2, Add (3,4)=36 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 5, 7: 0}, Find(5)=1, Find(7)=0, Add (5,7)=39 Succeeded, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 5, 7: 0}, Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(6)=1, Add (0,6)=43 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=51 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=174\",\"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)=53 Failed, w=174\",\"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)=53 Failed, w=174\",\"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)=54 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=174\",\"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)=69 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=174\",\"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)=73 Failed, w=174\",\"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)=81 Failed, w=174\",\"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)=81 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=81 Failed, w=174\",\"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)=85 Failed, w=174\",\"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)=88 Failed, w=174\",\"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)=90 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,72],[0,2,42],[0,3,73],[0,4,2],[1,3,60],[1,4,9],[2,3,29],[2,4,35],[3,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,42],[0,3,73],[0,4,2],[1,3,60],[1,4,9],[2,3,29],[2,4,35],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,42],[0,3,73],[0,4,2],[1,3,60],[1,4,9],[2,3,29],[2,4,35],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,42],[0,3,73],[0,4,2],[1,3,60],[1,4,9],[2,3,29],[2,4,35],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (3,4)=6, w=8\",\"Add (1,4)=9, w=17\",\"Add (2,3)=29, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,42],[0,3,73],[0,4,2],[1,3,60],[1,4,9],[2,3,29],[2,4,35],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,4)=6 Succeeded, w=8\",\"Add (1,4)=9 Succeeded, w=17\",\"Add (2,3)=29 Succeeded, w=46\",\"Add (2,4)=35 Failed, w=46\",\"Add (0,2)=42 Failed, w=46\",\"Add (1,3)=60 Failed, w=46\",\"Add (0,1)=72 Failed, w=46\",\"Add (0,3)=73 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,42],[0,3,73],[0,4,2],[1,3,60],[1,4,9],[2,3,29],[2,4,35],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,4)=6,(1,4)=9,(2,3)=29,(2,4)=35,(0,2)=42,(1,3)=60,(0,1)=72,(0,3)=73]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=0, Add (3,4)=6 Succeeded, w=8\",\"Find(1)=1, Find(4)=0, Add (1,4)=9 Succeeded, w=17\",\"Find(2)=2, Find(3)=0, Add (2,3)=29 Succeeded, w=46\",\"Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=46\",\"Find(0)=0, Find(2)=0, Add (0,2)=42 Failed, w=46\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=46\",\"Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=46\",\"Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,42],[0,3,73],[0,4,2],[1,3,60],[1,4,9],[2,3,29],[2,4,35],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,4)=6,(1,4)=9,(2,3)=29,(2,4)=35,(0,2)=42,(1,3)=60,(0,1)=72,(0,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=29 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=42 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=73 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,13],[0,3,57],[0,4,67],[0,5,14],[0,6,86],[0,7,91],[1,2,89],[1,4,49],[1,5,12],[1,6,4],[1,7,61],[2,3,76],[2,4,58],[2,5,96],[2,6,73],[2,7,95],[3,4,86],[3,5,30],[3,6,89],[4,5,22],[4,6,16],[4,7,81],[5,6,58],[5,7,63],[6,7,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,57],[0,4,67],[0,5,14],[0,6,86],[0,7,91],[1,2,89],[1,4,49],[1,5,12],[1,6,4],[1,7,61],[2,3,76],[2,4,58],[2,5,96],[2,6,73],[2,7,95],[3,4,86],[3,5,30],[3,6,89],[4,5,22],[4,6,16],[4,7,81],[5,6,58],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,57],[0,4,67],[0,5,14],[0,6,86],[0,7,91],[1,2,89],[1,4,49],[1,5,12],[1,6,4],[1,7,61],[2,3,76],[2,4,58],[2,5,96],[2,6,73],[2,7,95],[3,4,86],[3,5,30],[3,6,89],[4,5,22],[4,6,16],[4,7,81],[5,6,58],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (6,7)\",\"Add (2,4)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,57],[0,4,67],[0,5,14],[0,6,86],[0,7,91],[1,2,89],[1,4,49],[1,5,12],[1,6,4],[1,7,61],[2,3,76],[2,4,58],[2,5,96],[2,6,73],[2,7,95],[3,4,86],[3,5,30],[3,6,89],[4,5,22],[4,6,16],[4,7,81],[5,6,58],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (1,5)=12, w=16\",\"Add (0,1)=13, w=29\",\"Add (4,6)=16, w=45\",\"Add (3,5)=30, w=75\",\"Add (6,7)=30, w=105\",\"Add (2,4)=58, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,57],[0,4,67],[0,5,14],[0,6,86],[0,7,91],[1,2,89],[1,4,49],[1,5,12],[1,6,4],[1,7,61],[2,3,76],[2,4,58],[2,5,96],[2,6,73],[2,7,95],[3,4,86],[3,5,30],[3,6,89],[4,5,22],[4,6,16],[4,7,81],[5,6,58],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (1,5)=12 Succeeded, w=16\",\"Add (0,1)=13 Succeeded, w=29\",\"Add (0,5)=14 Failed, w=29\",\"Add (4,6)=16 Succeeded, w=45\",\"Add (4,5)=22 Failed, w=45\",\"Add (3,5)=30 Succeeded, w=75\",\"Add (6,7)=30 Succeeded, w=105\",\"Add (1,4)=49 Failed, w=105\",\"Add (0,3)=57 Failed, w=105\",\"Add (2,4)=58 Succeeded, w=163\",\"Add (5,6)=58 Failed, w=163\",\"Add (1,7)=61 Failed, w=163\",\"Add (5,7)=63 Failed, w=163\",\"Add (0,4)=67 Failed, w=163\",\"Add (2,6)=73 Failed, w=163\",\"Add (2,3)=76 Failed, w=163\",\"Add (4,7)=81 Failed, w=163\",\"Add (0,6)=86 Failed, w=163\",\"Add (3,4)=86 Failed, w=163\",\"Add (1,2)=89 Failed, w=163\",\"Add (3,6)=89 Failed, w=163\",\"Add (0,7)=91 Failed, w=163\",\"Add (2,7)=95 Failed, w=163\",\"Add (2,5)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,57],[0,4,67],[0,5,14],[0,6,86],[0,7,91],[1,2,89],[1,4,49],[1,5,12],[1,6,4],[1,7,61],[2,3,76],[2,4,58],[2,5,96],[2,6,73],[2,7,95],[3,4,86],[3,5,30],[3,6,89],[4,5,22],[4,6,16],[4,7,81],[5,6,58],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(1,5)=12,(0,1)=13,(0,5)=14,(4,6)=16,(4,5)=22,(3,5)=30,(6,7)=30,(1,4)=49,(0,3)=57,(2,4)=58,(5,6)=58,(1,7)=61,(5,7)=63,(0,4)=67,(2,6)=73,(2,3)=76,(4,7)=81,(0,6)=86,(3,4)=86,(1,2)=89,(3,6)=89,(0,7)=91,(2,7)=95,(2,5)=96]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=29\",\"Find(0)=1, Find(5)=1, Add (0,5)=14 Failed, w=29\",\"Find(4)=4, Find(6)=1, Add (4,6)=16 Succeeded, w=45\",\"Find(4)=1, Find(5)=1, Add (4,5)=22 Failed, w=45\",\"Find(3)=3, Find(5)=1, Add (3,5)=30 Succeeded, w=75\",\"Find(6)=1, Find(7)=7, Add (6,7)=30 Succeeded, w=105\",\"Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=105\",\"Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=105\",\"Find(2)=2, Find(4)=1, Add (2,4)=58 Succeeded, w=163\",\"Find(5)=1, Find(6)=1, Add (5,6)=58 Failed, w=163\",\"Find(1)=1, Find(7)=1, Add (1,7)=61 Failed, w=163\",\"Find(5)=1, Find(7)=1, Add (5,7)=63 Failed, w=163\",\"Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=163\",\"Find(2)=1, Find(6)=1, Add (2,6)=73 Failed, w=163\",\"Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=163\",\"Find(4)=1, Find(7)=1, Add (4,7)=81 Failed, w=163\",\"Find(0)=1, Find(6)=1, Add (0,6)=86 Failed, w=163\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=163\",\"Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=163\",\"Find(3)=1, Find(6)=1, Add (3,6)=89 Failed, w=163\",\"Find(0)=1, Find(7)=1, Add (0,7)=91 Failed, w=163\",\"Find(2)=1, Find(7)=1, Add (2,7)=95 Failed, w=163\",\"Find(2)=1, Find(5)=1, Add (2,5)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,57],[0,4,67],[0,5,14],[0,6,86],[0,7,91],[1,2,89],[1,4,49],[1,5,12],[1,6,4],[1,7,61],[2,3,76],[2,4,58],[2,5,96],[2,6,73],[2,7,95],[3,4,86],[3,5,30],[3,6,89],[4,5,22],[4,6,16],[4,7,81],[5,6,58],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(1,5)=12,(0,1)=13,(0,5)=14,(4,6)=16,(4,5)=22,(3,5)=30,(6,7)=30,(1,4)=49,(0,3)=57,(2,4)=58,(5,6)=58,(1,7)=61,(5,7)=63,(0,4)=67,(2,6)=73,(2,3)=76,(4,7)=81,(0,6)=86,(3,4)=86,(1,2)=89,(3,6)=89,(0,7)=91,(2,7)=95,(2,5)=96]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(5)=1, Add (0,5)=14 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=4, Find(6)=1, Add (4,6)=16 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(5)=1, Add (4,5)=22 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=3, Find(5)=1, Add (3,5)=30 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=7, Add (6,7)=30 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(4)=1, Add (2,4)=58 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=58 Failed, w=163\",\"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)=61 Failed, w=163\",\"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)=63 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=163\",\"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)=73 Failed, w=163\",\"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)=76 Failed, w=163\",\"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)=81 Failed, w=163\",\"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)=86 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=163\",\"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)=89 Failed, w=163\",\"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)=91 Failed, w=163\",\"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)=95 Failed, w=163\",\"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=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,98],[0,2,65],[0,3,20],[0,4,25],[0,6,4],[0,7,15],[1,2,99],[1,3,87],[1,4,36],[1,5,48],[1,6,42],[1,7,89],[2,3,87],[2,4,3],[2,5,23],[2,6,58],[2,7,28],[3,4,70],[3,5,5],[3,6,12],[3,7,43],[4,5,95],[4,6,68],[4,7,55],[5,6,10],[5,7,38],[6,7,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,65],[0,3,20],[0,4,25],[0,6,4],[0,7,15],[1,2,99],[1,3,87],[1,4,36],[1,5,48],[1,6,42],[1,7,89],[2,3,87],[2,4,3],[2,5,23],[2,6,58],[2,7,28],[3,4,70],[3,5,5],[3,6,12],[3,7,43],[4,5,95],[4,6,68],[4,7,55],[5,6,10],[5,7,38],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,65],[0,3,20],[0,4,25],[0,6,4],[0,7,15],[1,2,99],[1,3,87],[1,4,36],[1,5,48],[1,6,42],[1,7,89],[2,3,87],[2,4,3],[2,5,23],[2,6,58],[2,7,28],[3,4,70],[3,5,5],[3,6,12],[3,7,43],[4,5,95],[4,6,68],[4,7,55],[5,6,10],[5,7,38],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (5,6)\",\"Add (0,7)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,65],[0,3,20],[0,4,25],[0,6,4],[0,7,15],[1,2,99],[1,3,87],[1,4,36],[1,5,48],[1,6,42],[1,7,89],[2,3,87],[2,4,3],[2,5,23],[2,6,58],[2,7,28],[3,4,70],[3,5,5],[3,6,12],[3,7,43],[4,5,95],[4,6,68],[4,7,55],[5,6,10],[5,7,38],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (0,6)=4, w=7\",\"Add (3,5)=5, w=12\",\"Add (5,6)=10, w=22\",\"Add (0,7)=15, w=37\",\"Add (2,5)=23, w=60\",\"Add (1,4)=36, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,65],[0,3,20],[0,4,25],[0,6,4],[0,7,15],[1,2,99],[1,3,87],[1,4,36],[1,5,48],[1,6,42],[1,7,89],[2,3,87],[2,4,3],[2,5,23],[2,6,58],[2,7,28],[3,4,70],[3,5,5],[3,6,12],[3,7,43],[4,5,95],[4,6,68],[4,7,55],[5,6,10],[5,7,38],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (0,6)=4 Succeeded, w=7\",\"Add (3,5)=5 Succeeded, w=12\",\"Add (5,6)=10 Succeeded, w=22\",\"Add (3,6)=12 Failed, w=22\",\"Add (0,7)=15 Succeeded, w=37\",\"Add (0,3)=20 Failed, w=37\",\"Add (2,5)=23 Succeeded, w=60\",\"Add (0,4)=25 Failed, w=60\",\"Add (2,7)=28 Failed, w=60\",\"Add (1,4)=36 Succeeded, w=96\",\"Add (5,7)=38 Failed, w=96\",\"Add (1,6)=42 Failed, w=96\",\"Add (3,7)=43 Failed, w=96\",\"Add (1,5)=48 Failed, w=96\",\"Add (6,7)=51 Failed, w=96\",\"Add (4,7)=55 Failed, w=96\",\"Add (2,6)=58 Failed, w=96\",\"Add (0,2)=65 Failed, w=96\",\"Add (4,6)=68 Failed, w=96\",\"Add (3,4)=70 Failed, w=96\",\"Add (1,3)=87 Failed, w=96\",\"Add (2,3)=87 Failed, w=96\",\"Add (1,7)=89 Failed, w=96\",\"Add (4,5)=95 Failed, w=96\",\"Add (0,1)=98 Failed, w=96\",\"Add (1,2)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,65],[0,3,20],[0,4,25],[0,6,4],[0,7,15],[1,2,99],[1,3,87],[1,4,36],[1,5,48],[1,6,42],[1,7,89],[2,3,87],[2,4,3],[2,5,23],[2,6,58],[2,7,28],[3,4,70],[3,5,5],[3,6,12],[3,7,43],[4,5,95],[4,6,68],[4,7,55],[5,6,10],[5,7,38],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,6)=4,(3,5)=5,(5,6)=10,(3,6)=12,(0,7)=15,(0,3)=20,(2,5)=23,(0,4)=25,(2,7)=28,(1,4)=36,(5,7)=38,(1,6)=42,(3,7)=43,(1,5)=48,(6,7)=51,(4,7)=55,(2,6)=58,(0,2)=65,(4,6)=68,(3,4)=70,(1,3)=87,(2,3)=87,(1,7)=89,(4,5)=95,(0,1)=98,(1,2)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=7\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=12\",\"Find(5)=3, Find(6)=0, Add (5,6)=10 Succeeded, w=22\",\"Find(3)=3, Find(6)=3, Add (3,6)=12 Failed, w=22\",\"Find(0)=3, Find(7)=7, Add (0,7)=15 Succeeded, w=37\",\"Find(0)=3, Find(3)=3, Add (0,3)=20 Failed, w=37\",\"Find(2)=2, Find(5)=3, Add (2,5)=23 Succeeded, w=60\",\"Find(0)=3, Find(4)=3, Add (0,4)=25 Failed, w=60\",\"Find(2)=3, Find(7)=3, Add (2,7)=28 Failed, w=60\",\"Find(1)=1, Find(4)=3, Add (1,4)=36 Succeeded, w=96\",\"Find(5)=3, Find(7)=3, Add (5,7)=38 Failed, w=96\",\"Find(1)=3, Find(6)=3, Add (1,6)=42 Failed, w=96\",\"Find(3)=3, Find(7)=3, Add (3,7)=43 Failed, w=96\",\"Find(1)=3, Find(5)=3, Add (1,5)=48 Failed, w=96\",\"Find(6)=3, Find(7)=3, Add (6,7)=51 Failed, w=96\",\"Find(4)=3, Find(7)=3, Add (4,7)=55 Failed, w=96\",\"Find(2)=3, Find(6)=3, Add (2,6)=58 Failed, w=96\",\"Find(0)=3, Find(2)=3, Add (0,2)=65 Failed, w=96\",\"Find(4)=3, Find(6)=3, Add (4,6)=68 Failed, w=96\",\"Find(3)=3, Find(4)=3, Add (3,4)=70 Failed, w=96\",\"Find(1)=3, Find(3)=3, Add (1,3)=87 Failed, w=96\",\"Find(2)=3, Find(3)=3, Add (2,3)=87 Failed, w=96\",\"Find(1)=3, Find(7)=3, Add (1,7)=89 Failed, w=96\",\"Find(4)=3, Find(5)=3, Add (4,5)=95 Failed, w=96\",\"Find(0)=3, Find(1)=3, Add (0,1)=98 Failed, w=96\",\"Find(1)=3, Find(2)=3, Add (1,2)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,65],[0,3,20],[0,4,25],[0,6,4],[0,7,15],[1,2,99],[1,3,87],[1,4,36],[1,5,48],[1,6,42],[1,7,89],[2,3,87],[2,4,3],[2,5,23],[2,6,58],[2,7,28],[3,4,70],[3,5,5],[3,6,12],[3,7,43],[4,5,95],[4,6,68],[4,7,55],[5,6,10],[5,7,38],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,6)=4,(3,5)=5,(5,6)=10,(3,6)=12,(0,7)=15,(0,3)=20,(2,5)=23,(0,4)=25,(2,7)=28,(1,4)=36,(5,7)=38,(1,6)=42,(3,7)=43,(1,5)=48,(6,7)=51,(4,7)=55,(2,6)=58,(0,2)=65,(4,6)=68,(3,4)=70,(1,3)=87,(2,3)=87,(1,7)=89,(4,5)=95,(0,1)=98,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 0, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=12\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 0, 7: 7}, Find(5)=3, Find(6)=0, Add (5,6)=10 Succeeded, w=22\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3, 7: 7}, Find(3)=3, Find(6)=3, Add (3,6)=12 Failed, w=22\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=7, Add (0,7)=15 Succeeded, w=37\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=20 Failed, w=37\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(2)=2, Find(5)=3, Add (2,5)=23 Succeeded, w=60\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=25 Failed, w=60\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=28 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(4)=3, Add (1,4)=36 Succeeded, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=38 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=42 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=43 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=48 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=51 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=55 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=58 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=65 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=68 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=70 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=87 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=87 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=89 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=95 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=98 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,18],[0,3,25],[0,4,32],[0,5,16],[1,2,9],[1,4,42],[1,5,98],[1,6,37],[2,3,8],[2,4,58],[2,5,22],[3,4,10],[3,5,24],[3,6,2],[4,5,86],[5,6,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,25],[0,4,32],[0,5,16],[1,2,9],[1,4,42],[1,5,98],[1,6,37],[2,3,8],[2,4,58],[2,5,22],[3,4,10],[3,5,24],[3,6,2],[4,5,86],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,25],[0,4,32],[0,5,16],[1,2,9],[1,4,42],[1,5,98],[1,6,37],[2,3,8],[2,4,58],[2,5,22],[3,4,10],[3,5,24],[3,6,2],[4,5,86],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,25],[0,4,32],[0,5,16],[1,2,9],[1,4,42],[1,5,98],[1,6,37],[2,3,8],[2,4,58],[2,5,22],[3,4,10],[3,5,24],[3,6,2],[4,5,86],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (2,3)=8, w=10\",\"Add (1,2)=9, w=19\",\"Add (3,4)=10, w=29\",\"Add (0,5)=16, w=45\",\"Add (0,2)=18, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,25],[0,4,32],[0,5,16],[1,2,9],[1,4,42],[1,5,98],[1,6,37],[2,3,8],[2,4,58],[2,5,22],[3,4,10],[3,5,24],[3,6,2],[4,5,86],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (2,3)=8 Succeeded, w=10\",\"Add (1,2)=9 Succeeded, w=19\",\"Add (3,4)=10 Succeeded, w=29\",\"Add (0,5)=16 Succeeded, w=45\",\"Add (0,2)=18 Succeeded, w=63\",\"Add (2,5)=22 Failed, w=63\",\"Add (3,5)=24 Failed, w=63\",\"Add (0,3)=25 Failed, w=63\",\"Add (0,4)=32 Failed, w=63\",\"Add (1,6)=37 Failed, w=63\",\"Add (1,4)=42 Failed, w=63\",\"Add (2,4)=58 Failed, w=63\",\"Add (5,6)=73 Failed, w=63\",\"Add (4,5)=86 Failed, w=63\",\"Add (1,5)=98 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,25],[0,4,32],[0,5,16],[1,2,9],[1,4,42],[1,5,98],[1,6,37],[2,3,8],[2,4,58],[2,5,22],[3,4,10],[3,5,24],[3,6,2],[4,5,86],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(2,3)=8,(1,2)=9,(3,4)=10,(0,5)=16,(0,2)=18,(2,5)=22,(3,5)=24,(0,3)=25,(0,4)=32,(1,6)=37,(1,4)=42,(2,4)=58,(5,6)=73,(4,5)=86,(1,5)=98]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=10\",\"Find(1)=1, Find(2)=3, Add (1,2)=9 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=29\",\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=45\",\"Find(0)=0, Find(2)=3, Add (0,2)=18 Succeeded, w=63\",\"Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=63\",\"Find(3)=0, Find(5)=0, Add (3,5)=24 Failed, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=63\",\"Find(0)=0, Find(4)=0, Add (0,4)=32 Failed, w=63\",\"Find(1)=0, Find(6)=0, Add (1,6)=37 Failed, w=63\",\"Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=63\",\"Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=63\",\"Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=63\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=63\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,25],[0,4,32],[0,5,16],[1,2,9],[1,4,42],[1,5,98],[1,6,37],[2,3,8],[2,4,58],[2,5,22],[3,4,10],[3,5,24],[3,6,2],[4,5,86],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(2,3)=8,(1,2)=9,(3,4)=10,(0,5)=16,(0,2)=18,(2,5)=22,(3,5)=24,(0,3)=25,(0,4)=32,(1,6)=37,(1,4)=42,(2,4)=58,(5,6)=73,(4,5)=86,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=1, Find(2)=3, Add (1,2)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=29\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=45\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 0, 4: 3, 5: 0, 6: 3}, Find(0)=0, Find(2)=3, Add (0,2)=18 Succeeded, w=63\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0, 6: 3}, Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=63\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0, 6: 3}, Find(3)=0, Find(5)=0, Add (3,5)=24 Failed, w=63\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0, 6: 3}, Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=63\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(4)=0, Add (0,4)=32 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=37 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,99],[0,2,19],[0,3,16],[1,2,68],[1,3,14],[2,3,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,19],[0,3,16],[1,2,68],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,19],[0,3,16],[1,2,68],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,19],[0,3,16],[1,2,68],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14, w=14\",\"Add (0,3)=16, w=30\",\"Add (0,2)=19, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,19],[0,3,16],[1,2,68],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14 Succeeded, w=14\",\"Add (0,3)=16 Succeeded, w=30\",\"Add (0,2)=19 Succeeded, w=49\",\"Add (1,2)=68 Failed, w=49\",\"Add (2,3)=80 Failed, w=49\",\"Add (0,1)=99 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,19],[0,3,16],[1,2,68],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(0,3)=16,(0,2)=19,(1,2)=68,(2,3)=80,(0,1)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=30\",\"Find(0)=1, Find(2)=2, Add (0,2)=19 Succeeded, w=49\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=49\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=49\",\"Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,19],[0,3,16],[1,2,68],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(0,3)=16,(0,2)=19,(1,2)=68,(2,3)=80,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=19 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,2,36],[0,4,31],[0,5,62],[0,6,100],[1,2,47],[1,3,69],[1,4,74],[1,5,0],[1,6,86],[2,3,37],[2,4,61],[3,4,21],[3,5,68],[3,6,12],[4,5,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,36],[0,4,31],[0,5,62],[0,6,100],[1,2,47],[1,3,69],[1,4,74],[1,5,0],[1,6,86],[2,3,37],[2,4,61],[3,4,21],[3,5,68],[3,6,12],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,36],[0,4,31],[0,5,62],[0,6,100],[1,2,47],[1,3,69],[1,4,74],[1,5,0],[1,6,86],[2,3,37],[2,4,61],[3,4,21],[3,5,68],[3,6,12],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":121}",
"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],[0,2,36],[0,4,31],[0,5,62],[0,6,100],[1,2,47],[1,3,69],[1,4,74],[1,5,0],[1,6,86],[2,3,37],[2,4,61],[3,4,21],[3,5,68],[3,6,12],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (3,6)=12, w=12\",\"Add (3,4)=21, w=33\",\"Add (4,5)=25, w=58\",\"Add (0,1)=27, w=85\",\"Add (0,2)=36, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,36],[0,4,31],[0,5,62],[0,6,100],[1,2,47],[1,3,69],[1,4,74],[1,5,0],[1,6,86],[2,3,37],[2,4,61],[3,4,21],[3,5,68],[3,6,12],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (3,6)=12 Succeeded, w=12\",\"Add (3,4)=21 Succeeded, w=33\",\"Add (4,5)=25 Succeeded, w=58\",\"Add (0,1)=27 Succeeded, w=85\",\"Add (0,4)=31 Failed, w=85\",\"Add (0,2)=36 Succeeded, w=121\",\"Add (2,3)=37 Failed, w=121\",\"Add (1,2)=47 Failed, w=121\",\"Add (2,4)=61 Failed, w=121\",\"Add (0,5)=62 Failed, w=121\",\"Add (3,5)=68 Failed, w=121\",\"Add (1,3)=69 Failed, w=121\",\"Add (1,4)=74 Failed, w=121\",\"Add (1,6)=86 Failed, w=121\",\"Add (0,6)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,36],[0,4,31],[0,5,62],[0,6,100],[1,2,47],[1,3,69],[1,4,74],[1,5,0],[1,6,86],[2,3,37],[2,4,61],[3,4,21],[3,5,68],[3,6,12],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(3,6)=12,(3,4)=21,(4,5)=25,(0,1)=27,(0,4)=31,(0,2)=36,(2,3)=37,(1,2)=47,(2,4)=61,(0,5)=62,(3,5)=68,(1,3)=69,(1,4)=74,(1,6)=86,(0,6)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=12\",\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=33\",\"Find(4)=3, Find(5)=1, Add (4,5)=25 Succeeded, w=58\",\"Find(0)=0, Find(1)=3, Add (0,1)=27 Succeeded, w=85\",\"Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=85\",\"Find(0)=3, Find(2)=2, Add (0,2)=36 Succeeded, w=121\",\"Find(2)=3, Find(3)=3, Add (2,3)=37 Failed, w=121\",\"Find(1)=3, Find(2)=3, Add (1,2)=47 Failed, w=121\",\"Find(2)=3, Find(4)=3, Add (2,4)=61 Failed, w=121\",\"Find(0)=3, Find(5)=3, Add (0,5)=62 Failed, w=121\",\"Find(3)=3, Find(5)=3, Add (3,5)=68 Failed, w=121\",\"Find(1)=3, Find(3)=3, Add (1,3)=69 Failed, w=121\",\"Find(1)=3, Find(4)=3, Add (1,4)=74 Failed, w=121\",\"Find(1)=3, Find(6)=3, Add (1,6)=86 Failed, w=121\",\"Find(0)=3, Find(6)=3, Add (0,6)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,36],[0,4,31],[0,5,62],[0,6,100],[1,2,47],[1,3,69],[1,4,74],[1,5,0],[1,6,86],[2,3,37],[2,4,61],[3,4,21],[3,5,68],[3,6,12],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(3,6)=12,(3,4)=21,(4,5)=25,(0,1)=27,(0,4)=31,(0,2)=36,(2,3)=37,(1,2)=47,(2,4)=61,(0,5)=62,(3,5)=68,(1,3)=69,(1,4)=74,(1,6)=86,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3}, Find(4)=3, Find(5)=1, Add (4,5)=25 Succeeded, w=58\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3}, Find(0)=0, Find(1)=3, Add (0,1)=27 Succeeded, w=85\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(0)=3, Find(2)=2, Add (0,2)=36 Succeeded, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=37 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=47 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=61 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=62 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=68 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=69 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=74 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=86 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,42],[0,3,20],[0,4,28],[0,5,99],[0,6,29],[0,7,94],[1,3,80],[1,5,0],[1,7,86],[2,3,32],[2,4,46],[2,5,4],[2,6,12],[2,7,66],[3,4,70],[3,5,19],[3,6,85],[4,5,100],[4,6,95],[4,7,37],[5,6,1],[5,7,34],[6,7,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,42],[0,3,20],[0,4,28],[0,5,99],[0,6,29],[0,7,94],[1,3,80],[1,5,0],[1,7,86],[2,3,32],[2,4,46],[2,5,4],[2,6,12],[2,7,66],[3,4,70],[3,5,19],[3,6,85],[4,5,100],[4,6,95],[4,7,37],[5,6,1],[5,7,34],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,42],[0,3,20],[0,4,28],[0,5,99],[0,6,29],[0,7,94],[1,3,80],[1,5,0],[1,7,86],[2,3,32],[2,4,46],[2,5,4],[2,6,12],[2,7,66],[3,4,70],[3,5,19],[3,6,85],[4,5,100],[4,6,95],[4,7,37],[5,6,1],[5,7,34],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (5,7)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,42],[0,3,20],[0,4,28],[0,5,99],[0,6,29],[0,7,94],[1,3,80],[1,5,0],[1,7,86],[2,3,32],[2,4,46],[2,5,4],[2,6,12],[2,7,66],[3,4,70],[3,5,19],[3,6,85],[4,5,100],[4,6,95],[4,7,37],[5,6,1],[5,7,34],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (5,6)=1, w=1\",\"Add (2,5)=4, w=5\",\"Add (3,5)=19, w=24\",\"Add (0,3)=20, w=44\",\"Add (0,4)=28, w=72\",\"Add (5,7)=34, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,42],[0,3,20],[0,4,28],[0,5,99],[0,6,29],[0,7,94],[1,3,80],[1,5,0],[1,7,86],[2,3,32],[2,4,46],[2,5,4],[2,6,12],[2,7,66],[3,4,70],[3,5,19],[3,6,85],[4,5,100],[4,6,95],[4,7,37],[5,6,1],[5,7,34],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (5,6)=1 Succeeded, w=1\",\"Add (2,5)=4 Succeeded, w=5\",\"Add (2,6)=12 Failed, w=5\",\"Add (3,5)=19 Succeeded, w=24\",\"Add (0,3)=20 Succeeded, w=44\",\"Add (0,4)=28 Succeeded, w=72\",\"Add (0,6)=29 Failed, w=72\",\"Add (2,3)=32 Failed, w=72\",\"Add (5,7)=34 Succeeded, w=106\",\"Add (4,7)=37 Failed, w=106\",\"Add (0,2)=42 Failed, w=106\",\"Add (2,4)=46 Failed, w=106\",\"Add (2,7)=66 Failed, w=106\",\"Add (3,4)=70 Failed, w=106\",\"Add (1,3)=80 Failed, w=106\",\"Add (3,6)=85 Failed, w=106\",\"Add (1,7)=86 Failed, w=106\",\"Add (0,7)=94 Failed, w=106\",\"Add (4,6)=95 Failed, w=106\",\"Add (0,5)=99 Failed, w=106\",\"Add (4,5)=100 Failed, w=106\",\"Add (6,7)=100 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,42],[0,3,20],[0,4,28],[0,5,99],[0,6,29],[0,7,94],[1,3,80],[1,5,0],[1,7,86],[2,3,32],[2,4,46],[2,5,4],[2,6,12],[2,7,66],[3,4,70],[3,5,19],[3,6,85],[4,5,100],[4,6,95],[4,7,37],[5,6,1],[5,7,34],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(5,6)=1,(2,5)=4,(2,6)=12,(3,5)=19,(0,3)=20,(0,4)=28,(0,6)=29,(2,3)=32,(5,7)=34,(4,7)=37,(0,2)=42,(2,4)=46,(2,7)=66,(3,4)=70,(1,3)=80,(3,6)=85,(1,7)=86,(0,7)=94,(4,6)=95,(0,5)=99,(4,5)=100,(6,7)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(5)=1, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=1, Add (2,5)=4 Succeeded, w=5\",\"Find(2)=1, Find(6)=1, Add (2,6)=12 Failed, w=5\",\"Find(3)=3, Find(5)=1, Add (3,5)=19 Succeeded, w=24\",\"Find(0)=0, Find(3)=1, Add (0,3)=20 Succeeded, w=44\",\"Find(0)=1, Find(4)=4, Add (0,4)=28 Succeeded, w=72\",\"Find(0)=1, Find(6)=1, Add (0,6)=29 Failed, w=72\",\"Find(2)=1, Find(3)=1, Add (2,3)=32 Failed, w=72\",\"Find(5)=1, Find(7)=7, Add (5,7)=34 Succeeded, w=106\",\"Find(4)=1, Find(7)=1, Add (4,7)=37 Failed, w=106\",\"Find(0)=1, Find(2)=1, Add (0,2)=42 Failed, w=106\",\"Find(2)=1, Find(4)=1, Add (2,4)=46 Failed, w=106\",\"Find(2)=1, Find(7)=1, Add (2,7)=66 Failed, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=106\",\"Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=106\",\"Find(3)=1, Find(6)=1, Add (3,6)=85 Failed, w=106\",\"Find(1)=1, Find(7)=1, Add (1,7)=86 Failed, w=106\",\"Find(0)=1, Find(7)=1, Add (0,7)=94 Failed, w=106\",\"Find(4)=1, Find(6)=1, Add (4,6)=95 Failed, w=106\",\"Find(0)=1, Find(5)=1, Add (0,5)=99 Failed, w=106\",\"Find(4)=1, Find(5)=1, Add (4,5)=100 Failed, w=106\",\"Find(6)=1, Find(7)=1, Add (6,7)=100 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,42],[0,3,20],[0,4,28],[0,5,99],[0,6,29],[0,7,94],[1,3,80],[1,5,0],[1,7,86],[2,3,32],[2,4,46],[2,5,4],[2,6,12],[2,7,66],[3,4,70],[3,5,19],[3,6,85],[4,5,100],[4,6,95],[4,7,37],[5,6,1],[5,7,34],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(5,6)=1,(2,5)=4,(2,6)=12,(3,5)=19,(0,3)=20,(0,4)=28,(0,6)=29,(2,3)=32,(5,7)=34,(4,7)=37,(0,2)=42,(2,4)=46,(2,7)=66,(3,4)=70,(1,3)=80,(3,6)=85,(1,7)=86,(0,7)=94,(4,6)=95,(0,5)=99,(4,5)=100,(6,7)=100]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(2)=2, Find(5)=1, Add (2,5)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(6)=1, Add (2,6)=12 Failed, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(3)=3, Find(5)=1, Add (3,5)=19 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(3)=1, Add (0,3)=20 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(4)=4, Add (0,4)=28 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(6)=1, Add (0,6)=29 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(3)=1, Add (2,3)=32 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=34 Succeeded, w=106\",\"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)=37 Failed, w=106\",\"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)=42 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=46 Failed, w=106\",\"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)=66 Failed, w=106\",\"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=106\",\"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)=80 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=85 Failed, w=106\",\"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)=86 Failed, w=106\",\"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)=94 Failed, w=106\",\"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)=95 Failed, w=106\",\"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)=99 Failed, w=106\",\"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)=100 Failed, w=106\",\"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)=100 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,4,96],[0,5,94],[1,2,38],[1,3,59],[1,4,25],[1,5,87],[2,4,0],[2,5,41],[3,4,41],[3,5,89],[4,5,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,96],[0,5,94],[1,2,38],[1,3,59],[1,4,25],[1,5,87],[2,4,0],[2,5,41],[3,4,41],[3,5,89],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,96],[0,5,94],[1,2,38],[1,3,59],[1,4,25],[1,5,87],[2,4,0],[2,5,41],[3,4,41],[3,5,89],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,96],[0,5,94],[1,2,38],[1,3,59],[1,4,25],[1,5,87],[2,4,0],[2,5,41],[3,4,41],[3,5,89],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (1,4)=25, w=25\",\"Add (2,5)=41, w=66\",\"Add (3,4)=41, w=107\",\"Add (0,1)=58, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,96],[0,5,94],[1,2,38],[1,3,59],[1,4,25],[1,5,87],[2,4,0],[2,5,41],[3,4,41],[3,5,89],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (1,4)=25 Succeeded, w=25\",\"Add (1,2)=38 Failed, w=25\",\"Add (2,5)=41 Succeeded, w=66\",\"Add (3,4)=41 Succeeded, w=107\",\"Add (4,5)=43 Failed, w=107\",\"Add (0,1)=58 Succeeded, w=165\",\"Add (1,3)=59 Failed, w=165\",\"Add (1,5)=87 Failed, w=165\",\"Add (3,5)=89 Failed, w=165\",\"Add (0,5)=94 Failed, w=165\",\"Add (0,4)=96 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,96],[0,5,94],[1,2,38],[1,3,59],[1,4,25],[1,5,87],[2,4,0],[2,5,41],[3,4,41],[3,5,89],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,4)=25,(1,2)=38,(2,5)=41,(3,4)=41,(4,5)=43,(0,1)=58,(1,3)=59,(1,5)=87,(3,5)=89,(0,5)=94,(0,4)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=2, Add (1,4)=25 Succeeded, w=25\",\"Find(1)=2, Find(2)=2, Add (1,2)=38 Failed, w=25\",\"Find(2)=2, Find(5)=5, Add (2,5)=41 Succeeded, w=66\",\"Find(3)=3, Find(4)=2, Add (3,4)=41 Succeeded, w=107\",\"Find(4)=2, Find(5)=2, Add (4,5)=43 Failed, w=107\",\"Find(0)=0, Find(1)=2, Add (0,1)=58 Succeeded, w=165\",\"Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=165\",\"Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=165\",\"Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=165\",\"Find(0)=2, Find(5)=2, Add (0,5)=94 Failed, w=165\",\"Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,4,96],[0,5,94],[1,2,38],[1,3,59],[1,4,25],[1,5,87],[2,4,0],[2,5,41],[3,4,41],[3,5,89],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,4)=25,(1,2)=38,(2,5)=41,(3,4)=41,(4,5)=43,(0,1)=58,(1,3)=59,(1,5)=87,(3,5)=89,(0,5)=94,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=2, Find(2)=2, Add (1,2)=38 Failed, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=41 Succeeded, w=66\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=41 Succeeded, w=107\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=43 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(1)=2, Add (0,1)=58 Succeeded, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=165\",\"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=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=94 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,2,7],[0,4,47],[0,5,69],[1,2,65],[1,3,86],[1,5,17],[2,3,26],[2,4,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,7],[0,4,47],[0,5,69],[1,2,65],[1,3,86],[1,5,17],[2,3,26],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,7],[0,4,47],[0,5,69],[1,2,65],[1,3,86],[1,5,17],[2,3,26],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,7],[0,4,47],[0,5,69],[1,2,65],[1,3,86],[1,5,17],[2,3,26],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,1)=10, w=17\",\"Add (1,5)=17, w=34\",\"Add (2,3)=26, w=60\",\"Add (0,4)=47, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,7],[0,4,47],[0,5,69],[1,2,65],[1,3,86],[1,5,17],[2,3,26],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,1)=10 Succeeded, w=17\",\"Add (1,5)=17 Succeeded, w=34\",\"Add (2,3)=26 Succeeded, w=60\",\"Add (0,4)=47 Succeeded, w=107\",\"Add (1,2)=65 Failed, w=107\",\"Add (0,5)=69 Failed, w=107\",\"Add (1,3)=86 Failed, w=107\",\"Add (2,4)=88 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,7],[0,4,47],[0,5,69],[1,2,65],[1,3,86],[1,5,17],[2,3,26],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=10,(1,5)=17,(2,3)=26,(0,4)=47,(1,2)=65,(0,5)=69,(1,3)=86,(2,4)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=17\",\"Find(1)=0, Find(5)=5, Add (1,5)=17 Succeeded, w=34\",\"Find(2)=0, Find(3)=3, Add (2,3)=26 Succeeded, w=60\",\"Find(0)=0, Find(4)=4, Add (0,4)=47 Succeeded, w=107\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=107\",\"Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=107\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=107\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,7],[0,4,47],[0,5,69],[1,2,65],[1,3,86],[1,5,17],[2,3,26],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=10,(1,5)=17,(2,3)=26,(0,4)=47,(1,2)=65,(0,5)=69,(1,3)=86,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=26 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=47 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,31],[0,4,56],[0,5,70],[0,6,94],[0,7,57],[1,2,100],[1,3,20],[1,4,38],[1,5,81],[1,7,33],[2,3,50],[2,4,97],[2,5,9],[2,6,99],[2,7,0],[3,4,15],[3,5,0],[3,7,1],[4,5,97],[4,7,25],[5,6,83],[5,7,87],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,4,56],[0,5,70],[0,6,94],[0,7,57],[1,2,100],[1,3,20],[1,4,38],[1,5,81],[1,7,33],[2,3,50],[2,4,97],[2,5,9],[2,6,99],[2,7,0],[3,4,15],[3,5,0],[3,7,1],[4,5,97],[4,7,25],[5,6,83],[5,7,87],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,4,56],[0,5,70],[0,6,94],[0,7,57],[1,2,100],[1,3,20],[1,4,38],[1,5,81],[1,7,33],[2,3,50],[2,4,97],[2,5,9],[2,6,99],[2,7,0],[3,4,15],[3,5,0],[3,7,1],[4,5,97],[4,7,25],[5,6,83],[5,7,87],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (5,6)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,4,56],[0,5,70],[0,6,94],[0,7,57],[1,2,100],[1,3,20],[1,4,38],[1,5,81],[1,7,33],[2,3,50],[2,4,97],[2,5,9],[2,6,99],[2,7,0],[3,4,15],[3,5,0],[3,7,1],[4,5,97],[4,7,25],[5,6,83],[5,7,87],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=0, w=0\",\"Add (3,5)=0, w=0\",\"Add (3,7)=1, w=1\",\"Add (3,4)=15, w=16\",\"Add (1,3)=20, w=36\",\"Add (0,2)=31, w=67\",\"Add (5,6)=83, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,4,56],[0,5,70],[0,6,94],[0,7,57],[1,2,100],[1,3,20],[1,4,38],[1,5,81],[1,7,33],[2,3,50],[2,4,97],[2,5,9],[2,6,99],[2,7,0],[3,4,15],[3,5,0],[3,7,1],[4,5,97],[4,7,25],[5,6,83],[5,7,87],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=0 Succeeded, w=0\",\"Add (3,5)=0 Succeeded, w=0\",\"Add (3,7)=1 Succeeded, w=1\",\"Add (2,5)=9 Failed, w=1\",\"Add (3,4)=15 Succeeded, w=16\",\"Add (1,3)=20 Succeeded, w=36\",\"Add (4,7)=25 Failed, w=36\",\"Add (0,2)=31 Succeeded, w=67\",\"Add (1,7)=33 Failed, w=67\",\"Add (1,4)=38 Failed, w=67\",\"Add (2,3)=50 Failed, w=67\",\"Add (0,4)=56 Failed, w=67\",\"Add (0,7)=57 Failed, w=67\",\"Add (0,5)=70 Failed, w=67\",\"Add (1,5)=81 Failed, w=67\",\"Add (5,6)=83 Succeeded, w=150\",\"Add (6,7)=84 Failed, w=150\",\"Add (5,7)=87 Failed, w=150\",\"Add (0,6)=94 Failed, w=150\",\"Add (2,4)=97 Failed, w=150\",\"Add (4,5)=97 Failed, w=150\",\"Add (2,6)=99 Failed, w=150\",\"Add (1,2)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,4,56],[0,5,70],[0,6,94],[0,7,57],[1,2,100],[1,3,20],[1,4,38],[1,5,81],[1,7,33],[2,3,50],[2,4,97],[2,5,9],[2,6,99],[2,7,0],[3,4,15],[3,5,0],[3,7,1],[4,5,97],[4,7,25],[5,6,83],[5,7,87],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=0,(3,5)=0,(3,7)=1,(2,5)=9,(3,4)=15,(1,3)=20,(4,7)=25,(0,2)=31,(1,7)=33,(1,4)=38,(2,3)=50,(0,4)=56,(0,7)=57,(0,5)=70,(1,5)=81,(5,6)=83,(6,7)=84,(5,7)=87,(0,6)=94,(2,4)=97,(4,5)=97,(2,6)=99,(1,2)=100]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(7)=2, Add (3,7)=1 Succeeded, w=1\",\"Find(2)=3, Find(5)=3, Add (2,5)=9 Failed, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=16\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=36\",\"Find(4)=3, Find(7)=3, Add (4,7)=25 Failed, w=36\",\"Find(0)=0, Find(2)=3, Add (0,2)=31 Succeeded, w=67\",\"Find(1)=3, Find(7)=3, Add (1,7)=33 Failed, w=67\",\"Find(1)=3, Find(4)=3, Add (1,4)=38 Failed, w=67\",\"Find(2)=3, Find(3)=3, Add (2,3)=50 Failed, w=67\",\"Find(0)=3, Find(4)=3, Add (0,4)=56 Failed, w=67\",\"Find(0)=3, Find(7)=3, Add (0,7)=57 Failed, w=67\",\"Find(0)=3, Find(5)=3, Add (0,5)=70 Failed, w=67\",\"Find(1)=3, Find(5)=3, Add (1,5)=81 Failed, w=67\",\"Find(5)=3, Find(6)=6, Add (5,6)=83 Succeeded, w=150\",\"Find(6)=3, Find(7)=3, Add (6,7)=84 Failed, w=150\",\"Find(5)=3, Find(7)=3, Add (5,7)=87 Failed, w=150\",\"Find(0)=3, Find(6)=3, Add (0,6)=94 Failed, w=150\",\"Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=150\",\"Find(4)=3, Find(5)=3, Add (4,5)=97 Failed, w=150\",\"Find(2)=3, Find(6)=3, Add (2,6)=99 Failed, w=150\",\"Find(1)=3, Find(2)=3, Add (1,2)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,4,56],[0,5,70],[0,6,94],[0,7,57],[1,2,100],[1,3,20],[1,4,38],[1,5,81],[1,7,33],[2,3,50],[2,4,97],[2,5,9],[2,6,99],[2,7,0],[3,4,15],[3,5,0],[3,7,1],[4,5,97],[4,7,25],[5,6,83],[5,7,87],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=0,(3,5)=0,(3,7)=1,(2,5)=9,(3,4)=15,(1,3)=20,(4,7)=25,(0,2)=31,(1,7)=33,(1,4)=38,(2,3)=50,(0,4)=56,(0,7)=57,(0,5)=70,(1,5)=81,(5,6)=83,(6,7)=84,(5,7)=87,(0,6)=94,(2,4)=97,(4,5)=97,(2,6)=99,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 2}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 2}, Find(2)=3, Find(5)=3, Add (2,5)=9 Failed, w=1\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=16\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=25 Failed, w=36\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(2)=3, Add (0,2)=31 Succeeded, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=33 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=38 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=50 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=56 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=57 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=70 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=81 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=6, Add (5,6)=83 Succeeded, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=84 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=87 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=94 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=97 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=97 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=99 Failed, w=150\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,2,7],[0,3,30],[0,4,78],[0,6,58],[1,4,73],[1,5,12],[1,6,87],[3,5,76],[3,6,58],[4,5,40],[5,6,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,7],[0,3,30],[0,4,78],[0,6,58],[1,4,73],[1,5,12],[1,6,87],[3,5,76],[3,6,58],[4,5,40],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,7],[0,3,30],[0,4,78],[0,6,58],[1,4,73],[1,5,12],[1,6,87],[3,5,76],[3,6,58],[4,5,40],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (0,6)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,7],[0,3,30],[0,4,78],[0,6,58],[1,4,73],[1,5,12],[1,6,87],[3,5,76],[3,6,58],[4,5,40],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (1,5)=12, w=19\",\"Add (0,3)=30, w=49\",\"Add (0,1)=40, w=89\",\"Add (4,5)=40, w=129\",\"Add (0,6)=58, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,7],[0,3,30],[0,4,78],[0,6,58],[1,4,73],[1,5,12],[1,6,87],[3,5,76],[3,6,58],[4,5,40],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (1,5)=12 Succeeded, w=19\",\"Add (0,3)=30 Succeeded, w=49\",\"Add (0,1)=40 Succeeded, w=89\",\"Add (4,5)=40 Succeeded, w=129\",\"Add (0,6)=58 Succeeded, w=187\",\"Add (3,6)=58 Failed, w=187\",\"Add (1,4)=73 Failed, w=187\",\"Add (3,5)=76 Failed, w=187\",\"Add (0,4)=78 Failed, w=187\",\"Add (5,6)=80 Failed, w=187\",\"Add (1,6)=87 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,7],[0,3,30],[0,4,78],[0,6,58],[1,4,73],[1,5,12],[1,6,87],[3,5,76],[3,6,58],[4,5,40],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(1,5)=12,(0,3)=30,(0,1)=40,(4,5)=40,(0,6)=58,(3,6)=58,(1,4)=73,(3,5)=76,(0,4)=78,(5,6)=80,(1,6)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=49\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=89\",\"Find(4)=4, Find(5)=0, Add (4,5)=40 Succeeded, w=129\",\"Find(0)=0, Find(6)=6, Add (0,6)=58 Succeeded, w=187\",\"Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=187\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=187\",\"Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=187\",\"Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=187\",\"Find(5)=0, Find(6)=0, Add (5,6)=80 Failed, w=187\",\"Find(1)=0, Find(6)=0, Add (1,6)=87 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,2,7],[0,3,30],[0,4,78],[0,6,58],[1,4,73],[1,5,12],[1,6,87],[3,5,76],[3,6,58],[4,5,40],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(1,5)=12,(0,3)=30,(0,1)=40,(4,5)=40,(0,6)=58,(3,6)=58,(1,4)=73,(3,5)=76,(0,4)=78,(5,6)=80,(1,6)=87]\",\"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: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=40 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=58 Succeeded, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=80 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=87 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,76],[0,2,75],[0,3,14],[1,2,27],[1,3,96],[2,3,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,75],[0,3,14],[1,2,27],[1,3,96],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,75],[0,3,14],[1,2,27],[1,3,96],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,75],[0,3,14],[1,2,27],[1,3,96],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (1,2)=27, w=41\",\"Add (0,2)=75, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,75],[0,3,14],[1,2,27],[1,3,96],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (1,2)=27 Succeeded, w=41\",\"Add (0,2)=75 Succeeded, w=116\",\"Add (0,1)=76 Failed, w=116\",\"Add (2,3)=81 Failed, w=116\",\"Add (1,3)=96 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,75],[0,3,14],[1,2,27],[1,3,96],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(1,2)=27,(0,2)=75,(0,1)=76,(2,3)=81,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=41\",\"Find(0)=0, Find(2)=1, Add (0,2)=75 Succeeded, w=116\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=116\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=116\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,75],[0,3,14],[1,2,27],[1,3,96],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(1,2)=27,(0,2)=75,(0,1)=76,(2,3)=81,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=75 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,63],[0,2,12],[0,3,12],[1,2,79],[1,3,3],[1,4,76],[2,3,44],[2,4,44],[3,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,12],[0,3,12],[1,2,79],[1,3,3],[1,4,76],[2,3,44],[2,4,44],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":28}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,12],[0,3,12],[1,2,79],[1,3,3],[1,4,76],[2,3,44],[2,4,44],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":28}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,12],[0,3,12],[1,2,79],[1,3,3],[1,4,76],[2,3,44],[2,4,44],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (1,3)=3, w=4\",\"Add (0,2)=12, w=16\",\"Add (0,3)=12, w=28\"],\"Answer\":28}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,12],[0,3,12],[1,2,79],[1,3,3],[1,4,76],[2,3,44],[2,4,44],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (1,3)=3 Succeeded, w=4\",\"Add (0,2)=12 Succeeded, w=16\",\"Add (0,3)=12 Succeeded, w=28\",\"Add (2,3)=44 Failed, w=28\",\"Add (2,4)=44 Failed, w=28\",\"Add (0,1)=63 Failed, w=28\",\"Add (1,4)=76 Failed, w=28\",\"Add (1,2)=79 Failed, w=28\"],\"Answer\":28}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,12],[0,3,12],[1,2,79],[1,3,3],[1,4,76],[2,3,44],[2,4,44],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,3)=3,(0,2)=12,(0,3)=12,(2,3)=44,(2,4)=44,(0,1)=63,(1,4)=76,(1,2)=79]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=28\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=28\",\"Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=28\",\"Find(0)=0, Find(1)=0, Add (0,1)=63 Failed, w=28\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=28\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=28\"],\"Answer\":28}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,12],[0,3,12],[1,2,79],[1,3,3],[1,4,76],[2,3,44],[2,4,44],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,3)=3,(0,2)=12,(0,3)=12,(2,3)=44,(2,4)=44,(0,1)=63,(1,4)=76,(1,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=28\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=28\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=63 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=28\"],\"Answer\":28}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,2,97],[0,3,6],[0,4,70],[1,2,42],[1,3,8],[1,4,91],[2,3,6],[3,4,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,97],[0,3,6],[0,4,70],[1,2,42],[1,3,8],[1,4,91],[2,3,6],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,97],[0,3,6],[0,4,70],[1,2,42],[1,3,8],[1,4,91],[2,3,6],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,97],[0,3,6],[0,4,70],[1,2,42],[1,3,8],[1,4,91],[2,3,6],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (2,3)=6, w=12\",\"Add (1,3)=8, w=20\",\"Add (3,4)=49, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,97],[0,3,6],[0,4,70],[1,2,42],[1,3,8],[1,4,91],[2,3,6],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (2,3)=6 Succeeded, w=12\",\"Add (1,3)=8 Succeeded, w=20\",\"Add (1,2)=42 Failed, w=20\",\"Add (3,4)=49 Succeeded, w=69\",\"Add (0,4)=70 Failed, w=69\",\"Add (0,1)=76 Failed, w=69\",\"Add (1,4)=91 Failed, w=69\",\"Add (0,2)=97 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,97],[0,3,6],[0,4,70],[1,2,42],[1,3,8],[1,4,91],[2,3,6],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(2,3)=6,(1,3)=8,(1,2)=42,(3,4)=49,(0,4)=70,(0,1)=76,(1,4)=91,(0,2)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=0, Add (2,3)=6 Succeeded, w=12\",\"Find(1)=1, Find(3)=0, Add (1,3)=8 Succeeded, w=20\",\"Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=20\",\"Find(3)=0, Find(4)=4, Add (3,4)=49 Succeeded, w=69\",\"Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=69\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=69\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=69\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,97],[0,3,6],[0,4,70],[1,2,42],[1,3,8],[1,4,91],[2,3,6],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(2,3)=6,(1,3)=8,(1,2)=42,(3,4)=49,(0,4)=70,(0,1)=76,(1,4)=91,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=8 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=49 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,40],[0,2,42],[0,3,72],[0,4,36],[0,5,59],[1,2,48],[1,3,48],[1,4,50],[1,5,93],[1,6,9],[1,7,54],[2,3,79],[2,4,91],[2,5,86],[2,6,83],[2,7,29],[3,4,45],[3,5,69],[3,6,86],[3,7,66],[4,5,14],[4,6,23],[4,7,13],[5,6,66],[5,7,6],[6,7,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,42],[0,3,72],[0,4,36],[0,5,59],[1,2,48],[1,3,48],[1,4,50],[1,5,93],[1,6,9],[1,7,54],[2,3,79],[2,4,91],[2,5,86],[2,6,83],[2,7,29],[3,4,45],[3,5,69],[3,6,86],[3,7,66],[4,5,14],[4,6,23],[4,7,13],[5,6,66],[5,7,6],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,42],[0,3,72],[0,4,36],[0,5,59],[1,2,48],[1,3,48],[1,4,50],[1,5,93],[1,6,9],[1,7,54],[2,3,79],[2,4,91],[2,5,86],[2,6,83],[2,7,29],[3,4,45],[3,5,69],[3,6,86],[3,7,66],[4,5,14],[4,6,23],[4,7,13],[5,6,66],[5,7,6],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,6)\",\"Add (4,7)\",\"Add (4,6)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,42],[0,3,72],[0,4,36],[0,5,59],[1,2,48],[1,3,48],[1,4,50],[1,5,93],[1,6,9],[1,7,54],[2,3,79],[2,4,91],[2,5,86],[2,6,83],[2,7,29],[3,4,45],[3,5,69],[3,6,86],[3,7,66],[4,5,14],[4,6,23],[4,7,13],[5,6,66],[5,7,6],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6, w=6\",\"Add (1,6)=9, w=15\",\"Add (4,7)=13, w=28\",\"Add (4,6)=23, w=51\",\"Add (2,7)=29, w=80\",\"Add (0,4)=36, w=116\",\"Add (3,4)=45, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,42],[0,3,72],[0,4,36],[0,5,59],[1,2,48],[1,3,48],[1,4,50],[1,5,93],[1,6,9],[1,7,54],[2,3,79],[2,4,91],[2,5,86],[2,6,83],[2,7,29],[3,4,45],[3,5,69],[3,6,86],[3,7,66],[4,5,14],[4,6,23],[4,7,13],[5,6,66],[5,7,6],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6 Succeeded, w=6\",\"Add (1,6)=9 Succeeded, w=15\",\"Add (4,7)=13 Succeeded, w=28\",\"Add (4,5)=14 Failed, w=28\",\"Add (4,6)=23 Succeeded, w=51\",\"Add (2,7)=29 Succeeded, w=80\",\"Add (0,4)=36 Succeeded, w=116\",\"Add (0,1)=40 Failed, w=116\",\"Add (6,7)=40 Failed, w=116\",\"Add (0,2)=42 Failed, w=116\",\"Add (3,4)=45 Succeeded, w=161\",\"Add (1,2)=48 Failed, w=161\",\"Add (1,3)=48 Failed, w=161\",\"Add (1,4)=50 Failed, w=161\",\"Add (1,7)=54 Failed, w=161\",\"Add (0,5)=59 Failed, w=161\",\"Add (3,7)=66 Failed, w=161\",\"Add (5,6)=66 Failed, w=161\",\"Add (3,5)=69 Failed, w=161\",\"Add (0,3)=72 Failed, w=161\",\"Add (2,3)=79 Failed, w=161\",\"Add (2,6)=83 Failed, w=161\",\"Add (2,5)=86 Failed, w=161\",\"Add (3,6)=86 Failed, w=161\",\"Add (2,4)=91 Failed, w=161\",\"Add (1,5)=93 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,42],[0,3,72],[0,4,36],[0,5,59],[1,2,48],[1,3,48],[1,4,50],[1,5,93],[1,6,9],[1,7,54],[2,3,79],[2,4,91],[2,5,86],[2,6,83],[2,7,29],[3,4,45],[3,5,69],[3,6,86],[3,7,66],[4,5,14],[4,6,23],[4,7,13],[5,6,66],[5,7,6],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(1,6)=9,(4,7)=13,(4,5)=14,(4,6)=23,(2,7)=29,(0,4)=36,(0,1)=40,(6,7)=40,(0,2)=42,(3,4)=45,(1,2)=48,(1,3)=48,(1,4)=50,(1,7)=54,(0,5)=59,(3,7)=66,(5,6)=66,(3,5)=69,(0,3)=72,(2,3)=79,(2,6)=83,(2,5)=86,(3,6)=86,(2,4)=91,(1,5)=93]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Find(1)=1, Find(6)=6, Add (1,6)=9 Succeeded, w=15\",\"Find(4)=4, Find(7)=5, Add (4,7)=13 Succeeded, w=28\",\"Find(4)=5, Find(5)=5, Add (4,5)=14 Failed, w=28\",\"Find(4)=5, Find(6)=1, Add (4,6)=23 Succeeded, w=51\",\"Find(2)=2, Find(7)=5, Add (2,7)=29 Succeeded, w=80\",\"Find(0)=0, Find(4)=5, Add (0,4)=36 Succeeded, w=116\",\"Find(0)=5, Find(1)=5, Add (0,1)=40 Failed, w=116\",\"Find(6)=5, Find(7)=5, Add (6,7)=40 Failed, w=116\",\"Find(0)=5, Find(2)=5, Add (0,2)=42 Failed, w=116\",\"Find(3)=3, Find(4)=5, Add (3,4)=45 Succeeded, w=161\",\"Find(1)=5, Find(2)=5, Add (1,2)=48 Failed, w=161\",\"Find(1)=5, Find(3)=5, Add (1,3)=48 Failed, w=161\",\"Find(1)=5, Find(4)=5, Add (1,4)=50 Failed, w=161\",\"Find(1)=5, Find(7)=5, Add (1,7)=54 Failed, w=161\",\"Find(0)=5, Find(5)=5, Add (0,5)=59 Failed, w=161\",\"Find(3)=5, Find(7)=5, Add (3,7)=66 Failed, w=161\",\"Find(5)=5, Find(6)=5, Add (5,6)=66 Failed, w=161\",\"Find(3)=5, Find(5)=5, Add (3,5)=69 Failed, w=161\",\"Find(0)=5, Find(3)=5, Add (0,3)=72 Failed, w=161\",\"Find(2)=5, Find(3)=5, Add (2,3)=79 Failed, w=161\",\"Find(2)=5, Find(6)=5, Add (2,6)=83 Failed, w=161\",\"Find(2)=5, Find(5)=5, Add (2,5)=86 Failed, w=161\",\"Find(3)=5, Find(6)=5, Add (3,6)=86 Failed, w=161\",\"Find(2)=5, Find(4)=5, Add (2,4)=91 Failed, w=161\",\"Find(1)=5, Find(5)=5, Add (1,5)=93 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,42],[0,3,72],[0,4,36],[0,5,59],[1,2,48],[1,3,48],[1,4,50],[1,5,93],[1,6,9],[1,7,54],[2,3,79],[2,4,91],[2,5,86],[2,6,83],[2,7,29],[3,4,45],[3,5,69],[3,6,86],[3,7,66],[4,5,14],[4,6,23],[4,7,13],[5,6,66],[5,7,6],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(1,6)=9,(4,7)=13,(4,5)=14,(4,6)=23,(2,7)=29,(0,4)=36,(0,1)=40,(6,7)=40,(0,2)=42,(3,4)=45,(1,2)=48,(1,3)=48,(1,4)=50,(1,7)=54,(0,5)=59,(3,7)=66,(5,6)=66,(3,5)=69,(0,3)=72,(2,3)=79,(2,6)=83,(2,5)=86,(3,6)=86,(2,4)=91,(1,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 5}, Find(1)=1, Find(6)=6, Add (1,6)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 1, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=13 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 1, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=14 Failed, w=28\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 5, 5: 5, 6: 1, 7: 5}, Find(4)=5, Find(6)=1, Add (4,6)=23 Succeeded, w=51\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 1, 7: 5}, Find(2)=2, Find(7)=5, Add (2,7)=29 Succeeded, w=80\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 1, 7: 5}, Find(0)=0, Find(4)=5, Add (0,4)=36 Succeeded, w=116\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 1, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=40 Failed, w=116\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=40 Failed, w=116\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=42 Failed, w=116\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(4)=5, Add (3,4)=45 Succeeded, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=48 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(3)=5, Add (1,3)=48 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=50 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=54 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=59 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=66 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=5, Add (5,6)=66 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=69 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=72 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=79 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=83 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=86 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=86 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=5, Add (2,4)=91 Failed, w=161\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=93 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,2,46],[0,3,54],[0,4,27],[1,2,0],[1,3,23],[1,4,81],[2,3,63],[2,4,47],[3,4,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,46],[0,3,54],[0,4,27],[1,2,0],[1,3,23],[1,4,81],[2,3,63],[2,4,47],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,46],[0,3,54],[0,4,27],[1,2,0],[1,3,23],[1,4,81],[2,3,63],[2,4,47],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,46],[0,3,54],[0,4,27],[1,2,0],[1,3,23],[1,4,81],[2,3,63],[2,4,47],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (1,3)=23, w=23\",\"Add (0,4)=27, w=50\",\"Add (0,2)=46, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,46],[0,3,54],[0,4,27],[1,2,0],[1,3,23],[1,4,81],[2,3,63],[2,4,47],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (1,3)=23 Succeeded, w=23\",\"Add (0,4)=27 Succeeded, w=50\",\"Add (0,2)=46 Succeeded, w=96\",\"Add (2,4)=47 Failed, w=96\",\"Add (0,3)=54 Failed, w=96\",\"Add (3,4)=61 Failed, w=96\",\"Add (2,3)=63 Failed, w=96\",\"Add (0,1)=65 Failed, w=96\",\"Add (1,4)=81 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,46],[0,3,54],[0,4,27],[1,2,0],[1,3,23],[1,4,81],[2,3,63],[2,4,47],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(1,3)=23,(0,4)=27,(0,2)=46,(2,4)=47,(0,3)=54,(3,4)=61,(2,3)=63,(0,1)=65,(1,4)=81]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=50\",\"Find(0)=0, Find(2)=1, Add (0,2)=46 Succeeded, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=96\",\"Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,46],[0,3,54],[0,4,27],[1,2,0],[1,3,23],[1,4,81],[2,3,63],[2,4,47],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(1,3)=23,(0,4)=27,(0,2)=46,(2,4)=47,(0,3)=54,(3,4)=61,(2,3)=63,(0,1)=65,(1,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=46 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,65],[0,2,28],[0,3,98],[0,4,78],[0,5,71],[0,6,90],[1,2,94],[1,3,75],[1,6,39],[1,7,35],[2,3,46],[2,4,72],[2,5,97],[2,6,22],[2,7,69],[3,4,78],[3,5,29],[3,6,93],[3,7,4],[4,6,24],[5,6,67],[5,7,75],[6,7,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,28],[0,3,98],[0,4,78],[0,5,71],[0,6,90],[1,2,94],[1,3,75],[1,6,39],[1,7,35],[2,3,46],[2,4,72],[2,5,97],[2,6,22],[2,7,69],[3,4,78],[3,5,29],[3,6,93],[3,7,4],[4,6,24],[5,6,67],[5,7,75],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,28],[0,3,98],[0,4,78],[0,5,71],[0,6,90],[1,2,94],[1,3,75],[1,6,39],[1,7,35],[2,3,46],[2,4,72],[2,5,97],[2,6,22],[2,7,69],[3,4,78],[3,5,29],[3,6,93],[3,7,4],[4,6,24],[5,6,67],[5,7,75],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (1,7)\",\"Add (1,6)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,28],[0,3,98],[0,4,78],[0,5,71],[0,6,90],[1,2,94],[1,3,75],[1,6,39],[1,7,35],[2,3,46],[2,4,72],[2,5,97],[2,6,22],[2,7,69],[3,4,78],[3,5,29],[3,6,93],[3,7,4],[4,6,24],[5,6,67],[5,7,75],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4, w=4\",\"Add (2,6)=22, w=26\",\"Add (4,6)=24, w=50\",\"Add (0,2)=28, w=78\",\"Add (3,5)=29, w=107\",\"Add (1,7)=35, w=142\",\"Add (1,6)=39, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,28],[0,3,98],[0,4,78],[0,5,71],[0,6,90],[1,2,94],[1,3,75],[1,6,39],[1,7,35],[2,3,46],[2,4,72],[2,5,97],[2,6,22],[2,7,69],[3,4,78],[3,5,29],[3,6,93],[3,7,4],[4,6,24],[5,6,67],[5,7,75],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4 Succeeded, w=4\",\"Add (2,6)=22 Succeeded, w=26\",\"Add (4,6)=24 Succeeded, w=50\",\"Add (0,2)=28 Succeeded, w=78\",\"Add (3,5)=29 Succeeded, w=107\",\"Add (1,7)=35 Succeeded, w=142\",\"Add (1,6)=39 Succeeded, w=181\",\"Add (2,3)=46 Failed, w=181\",\"Add (6,7)=51 Failed, w=181\",\"Add (0,1)=65 Failed, w=181\",\"Add (5,6)=67 Failed, w=181\",\"Add (2,7)=69 Failed, w=181\",\"Add (0,5)=71 Failed, w=181\",\"Add (2,4)=72 Failed, w=181\",\"Add (1,3)=75 Failed, w=181\",\"Add (5,7)=75 Failed, w=181\",\"Add (0,4)=78 Failed, w=181\",\"Add (3,4)=78 Failed, w=181\",\"Add (0,6)=90 Failed, w=181\",\"Add (3,6)=93 Failed, w=181\",\"Add (1,2)=94 Failed, w=181\",\"Add (2,5)=97 Failed, w=181\",\"Add (0,3)=98 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,28],[0,3,98],[0,4,78],[0,5,71],[0,6,90],[1,2,94],[1,3,75],[1,6,39],[1,7,35],[2,3,46],[2,4,72],[2,5,97],[2,6,22],[2,7,69],[3,4,78],[3,5,29],[3,6,93],[3,7,4],[4,6,24],[5,6,67],[5,7,75],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(2,6)=22,(4,6)=24,(0,2)=28,(3,5)=29,(1,7)=35,(1,6)=39,(2,3)=46,(6,7)=51,(0,1)=65,(5,6)=67,(2,7)=69,(0,5)=71,(2,4)=72,(1,3)=75,(5,7)=75,(0,4)=78,(3,4)=78,(0,6)=90,(3,6)=93,(1,2)=94,(2,5)=97,(0,3)=98]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Find(2)=2, Find(6)=6, Add (2,6)=22 Succeeded, w=26\",\"Find(4)=4, Find(6)=2, Add (4,6)=24 Succeeded, w=50\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=78\",\"Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=107\",\"Find(1)=1, Find(7)=3, Add (1,7)=35 Succeeded, w=142\",\"Find(1)=3, Find(6)=2, Add (1,6)=39 Succeeded, w=181\",\"Find(2)=3, Find(3)=3, Add (2,3)=46 Failed, w=181\",\"Find(6)=3, Find(7)=3, Add (6,7)=51 Failed, w=181\",\"Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=181\",\"Find(5)=3, Find(6)=3, Add (5,6)=67 Failed, w=181\",\"Find(2)=3, Find(7)=3, Add (2,7)=69 Failed, w=181\",\"Find(0)=3, Find(5)=3, Add (0,5)=71 Failed, w=181\",\"Find(2)=3, Find(4)=3, Add (2,4)=72 Failed, w=181\",\"Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=181\",\"Find(5)=3, Find(7)=3, Add (5,7)=75 Failed, w=181\",\"Find(0)=3, Find(4)=3, Add (0,4)=78 Failed, w=181\",\"Find(3)=3, Find(4)=3, Add (3,4)=78 Failed, w=181\",\"Find(0)=3, Find(6)=3, Add (0,6)=90 Failed, w=181\",\"Find(3)=3, Find(6)=3, Add (3,6)=93 Failed, w=181\",\"Find(1)=3, Find(2)=3, Add (1,2)=94 Failed, w=181\",\"Find(2)=3, Find(5)=3, Add (2,5)=97 Failed, w=181\",\"Find(0)=3, Find(3)=3, Add (0,3)=98 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,28],[0,3,98],[0,4,78],[0,5,71],[0,6,90],[1,2,94],[1,3,75],[1,6,39],[1,7,35],[2,3,46],[2,4,72],[2,5,97],[2,6,22],[2,7,69],[3,4,78],[3,5,29],[3,6,93],[3,7,4],[4,6,24],[5,6,67],[5,7,75],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(2,6)=22,(4,6)=24,(0,2)=28,(3,5)=29,(1,7)=35,(1,6)=39,(2,3)=46,(6,7)=51,(0,1)=65,(5,6)=67,(2,7)=69,(0,5)=71,(2,4)=72,(1,3)=75,(5,7)=75,(0,4)=78,(3,4)=78,(0,6)=90,(3,6)=93,(1,2)=94,(2,5)=97,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 3}, Find(2)=2, Find(6)=6, Add (2,6)=22 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 3}, Find(4)=4, Find(6)=2, Add (4,6)=24 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=78\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2, 7: 3}, Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=107\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=35 Succeeded, w=142\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 2, 7: 3}, Find(1)=3, Find(6)=2, Add (1,6)=39 Succeeded, w=181\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 2, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=46 Failed, w=181\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=51 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=67 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=69 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=71 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=72 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=75 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=78 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=78 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=90 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=93 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=94 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=97 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=98 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,40],[0,3,60],[0,4,67],[0,6,90],[0,7,28],[1,3,11],[1,4,25],[1,5,42],[1,7,5],[2,3,30],[2,4,54],[2,5,13],[2,6,6],[3,4,25],[3,5,0],[3,6,80],[3,7,76],[4,5,70],[4,7,37],[5,6,73],[5,7,83],[6,7,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,3,60],[0,4,67],[0,6,90],[0,7,28],[1,3,11],[1,4,25],[1,5,42],[1,7,5],[2,3,30],[2,4,54],[2,5,13],[2,6,6],[3,4,25],[3,5,0],[3,6,80],[3,7,76],[4,5,70],[4,7,37],[5,6,73],[5,7,83],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,3,60],[0,4,67],[0,6,90],[0,7,28],[1,3,11],[1,4,25],[1,5,42],[1,7,5],[2,3,30],[2,4,54],[2,5,13],[2,6,6],[3,4,25],[3,5,0],[3,6,80],[3,7,76],[4,5,70],[4,7,37],[5,6,73],[5,7,83],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,7)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,3,60],[0,4,67],[0,6,90],[0,7,28],[1,3,11],[1,4,25],[1,5,42],[1,7,5],[2,3,30],[2,4,54],[2,5,13],[2,6,6],[3,4,25],[3,5,0],[3,6,80],[3,7,76],[4,5,70],[4,7,37],[5,6,73],[5,7,83],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (1,7)=5, w=5\",\"Add (2,6)=6, w=11\",\"Add (1,3)=11, w=22\",\"Add (2,5)=13, w=35\",\"Add (1,4)=25, w=60\",\"Add (0,7)=28, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,3,60],[0,4,67],[0,6,90],[0,7,28],[1,3,11],[1,4,25],[1,5,42],[1,7,5],[2,3,30],[2,4,54],[2,5,13],[2,6,6],[3,4,25],[3,5,0],[3,6,80],[3,7,76],[4,5,70],[4,7,37],[5,6,73],[5,7,83],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (1,7)=5 Succeeded, w=5\",\"Add (2,6)=6 Succeeded, w=11\",\"Add (1,3)=11 Succeeded, w=22\",\"Add (2,5)=13 Succeeded, w=35\",\"Add (1,4)=25 Succeeded, w=60\",\"Add (3,4)=25 Failed, w=60\",\"Add (0,7)=28 Succeeded, w=88\",\"Add (2,3)=30 Failed, w=88\",\"Add (4,7)=37 Failed, w=88\",\"Add (0,2)=40 Failed, w=88\",\"Add (1,5)=42 Failed, w=88\",\"Add (2,4)=54 Failed, w=88\",\"Add (0,3)=60 Failed, w=88\",\"Add (0,4)=67 Failed, w=88\",\"Add (4,5)=70 Failed, w=88\",\"Add (5,6)=73 Failed, w=88\",\"Add (3,7)=76 Failed, w=88\",\"Add (3,6)=80 Failed, w=88\",\"Add (5,7)=83 Failed, w=88\",\"Add (6,7)=86 Failed, w=88\",\"Add (0,6)=90 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,3,60],[0,4,67],[0,6,90],[0,7,28],[1,3,11],[1,4,25],[1,5,42],[1,7,5],[2,3,30],[2,4,54],[2,5,13],[2,6,6],[3,4,25],[3,5,0],[3,6,80],[3,7,76],[4,5,70],[4,7,37],[5,6,73],[5,7,83],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(1,7)=5,(2,6)=6,(1,3)=11,(2,5)=13,(1,4)=25,(3,4)=25,(0,7)=28,(2,3)=30,(4,7)=37,(0,2)=40,(1,5)=42,(2,4)=54,(0,3)=60,(0,4)=67,(4,5)=70,(5,6)=73,(3,7)=76,(3,6)=80,(5,7)=83,(6,7)=86,(0,6)=90]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(7)=7, Add (1,7)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=22\",\"Find(2)=2, Find(5)=1, Add (2,5)=13 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=60\",\"Find(3)=1, Find(4)=1, Add (3,4)=25 Failed, w=60\",\"Find(0)=0, Find(7)=1, Add (0,7)=28 Succeeded, w=88\",\"Find(2)=1, Find(3)=1, Add (2,3)=30 Failed, w=88\",\"Find(4)=1, Find(7)=1, Add (4,7)=37 Failed, w=88\",\"Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=88\",\"Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=88\",\"Find(2)=1, Find(4)=1, Add (2,4)=54 Failed, w=88\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=88\",\"Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=88\",\"Find(4)=1, Find(5)=1, Add (4,5)=70 Failed, w=88\",\"Find(5)=1, Find(6)=1, Add (5,6)=73 Failed, w=88\",\"Find(3)=1, Find(7)=1, Add (3,7)=76 Failed, w=88\",\"Find(3)=1, Find(6)=1, Add (3,6)=80 Failed, w=88\",\"Find(5)=1, Find(7)=1, Add (5,7)=83 Failed, w=88\",\"Find(6)=1, Find(7)=1, Add (6,7)=86 Failed, w=88\",\"Find(0)=1, Find(6)=1, Add (0,6)=90 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,40],[0,3,60],[0,4,67],[0,6,90],[0,7,28],[1,3,11],[1,4,25],[1,5,42],[1,7,5],[2,3,30],[2,4,54],[2,5,13],[2,6,6],[3,4,25],[3,5,0],[3,6,80],[3,7,76],[4,5,70],[4,7,37],[5,6,73],[5,7,83],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(1,7)=5,(2,6)=6,(1,3)=11,(2,5)=13,(1,4)=25,(3,4)=25,(0,7)=28,(2,3)=30,(4,7)=37,(0,2)=40,(1,5)=42,(2,4)=54,(0,3)=60,(0,4)=67,(4,5)=70,(5,6)=73,(3,7)=76,(3,6)=80,(5,7)=83,(6,7)=86,(0,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 3, 6: 2, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(5)=1, Add (2,5)=13 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=25 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=28 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=30 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=37 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=54 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=70 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=73 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=76 Failed, w=88\",\"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=88\",\"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=88\",\"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)=86 Failed, w=88\",\"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)=90 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,64],[0,2,39],[0,5,99],[0,6,69],[1,3,80],[1,5,78],[1,6,20],[2,4,87],[2,5,79],[2,6,93],[3,4,60],[3,5,68],[3,6,93],[4,5,100],[5,6,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,39],[0,5,99],[0,6,69],[1,3,80],[1,5,78],[1,6,20],[2,4,87],[2,5,79],[2,6,93],[3,4,60],[3,5,68],[3,6,93],[4,5,100],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,39],[0,5,99],[0,6,69],[1,3,80],[1,5,78],[1,6,20],[2,4,87],[2,5,79],[2,6,93],[3,4,60],[3,5,68],[3,6,93],[4,5,100],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (3,5)\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,39],[0,5,99],[0,6,69],[1,3,80],[1,5,78],[1,6,20],[2,4,87],[2,5,79],[2,6,93],[3,4,60],[3,5,68],[3,6,93],[4,5,100],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=20, w=20\",\"Add (5,6)=21, w=41\",\"Add (0,2)=39, w=80\",\"Add (3,4)=60, w=140\",\"Add (0,1)=64, w=204\",\"Add (3,5)=68, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,39],[0,5,99],[0,6,69],[1,3,80],[1,5,78],[1,6,20],[2,4,87],[2,5,79],[2,6,93],[3,4,60],[3,5,68],[3,6,93],[4,5,100],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=20 Succeeded, w=20\",\"Add (5,6)=21 Succeeded, w=41\",\"Add (0,2)=39 Succeeded, w=80\",\"Add (3,4)=60 Succeeded, w=140\",\"Add (0,1)=64 Succeeded, w=204\",\"Add (3,5)=68 Succeeded, w=272\",\"Add (0,6)=69 Failed, w=272\",\"Add (1,5)=78 Failed, w=272\",\"Add (2,5)=79 Failed, w=272\",\"Add (1,3)=80 Failed, w=272\",\"Add (2,4)=87 Failed, w=272\",\"Add (2,6)=93 Failed, w=272\",\"Add (3,6)=93 Failed, w=272\",\"Add (0,5)=99 Failed, w=272\",\"Add (4,5)=100 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,39],[0,5,99],[0,6,69],[1,3,80],[1,5,78],[1,6,20],[2,4,87],[2,5,79],[2,6,93],[3,4,60],[3,5,68],[3,6,93],[4,5,100],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=20,(5,6)=21,(0,2)=39,(3,4)=60,(0,1)=64,(3,5)=68,(0,6)=69,(1,5)=78,(2,5)=79,(1,3)=80,(2,4)=87,(2,6)=93,(3,6)=93,(0,5)=99,(4,5)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=20\",\"Find(5)=5, Find(6)=1, Add (5,6)=21 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=80\",\"Find(3)=3, Find(4)=4, Add (3,4)=60 Succeeded, w=140\",\"Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=204\",\"Find(3)=3, Find(5)=0, Add (3,5)=68 Succeeded, w=272\",\"Find(0)=0, Find(6)=0, Add (0,6)=69 Failed, w=272\",\"Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=272\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=272\",\"Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=272\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=272\",\"Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=272\",\"Find(3)=0, Find(6)=0, Add (3,6)=93 Failed, w=272\",\"Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=272\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,39],[0,5,99],[0,6,69],[1,3,80],[1,5,78],[1,6,20],[2,4,87],[2,5,79],[2,6,93],[3,4,60],[3,5,68],[3,6,93],[4,5,100],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=20,(5,6)=21,(0,2)=39,(3,4)=60,(0,1)=64,(3,5)=68,(0,6)=69,(1,5)=78,(2,5)=79,(1,3)=80,(2,4)=87,(2,6)=93,(3,6)=93,(0,5)=99,(4,5)=100]\",\"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)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=21 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 1, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=60 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 1, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 1}, Find(3)=3, Find(5)=0, Add (3,5)=68 Succeeded, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=69 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=93 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=272\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,15],[0,2,71],[0,3,60],[0,4,22],[1,2,76],[1,3,64],[1,4,14],[2,3,44],[2,4,52],[3,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,71],[0,3,60],[0,4,22],[1,2,76],[1,3,64],[1,4,14],[2,3,44],[2,4,52],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,71],[0,3,60],[0,4,22],[1,2,76],[1,3,64],[1,4,14],[2,3,44],[2,4,52],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,71],[0,3,60],[0,4,22],[1,2,76],[1,3,64],[1,4,14],[2,3,44],[2,4,52],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14, w=14\",\"Add (0,1)=15, w=29\",\"Add (3,4)=42, w=71\",\"Add (2,3)=44, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,71],[0,3,60],[0,4,22],[1,2,76],[1,3,64],[1,4,14],[2,3,44],[2,4,52],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14 Succeeded, w=14\",\"Add (0,1)=15 Succeeded, w=29\",\"Add (0,4)=22 Failed, w=29\",\"Add (3,4)=42 Succeeded, w=71\",\"Add (2,3)=44 Succeeded, w=115\",\"Add (2,4)=52 Failed, w=115\",\"Add (0,3)=60 Failed, w=115\",\"Add (1,3)=64 Failed, w=115\",\"Add (0,2)=71 Failed, w=115\",\"Add (1,2)=76 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,71],[0,3,60],[0,4,22],[1,2,76],[1,3,64],[1,4,14],[2,3,44],[2,4,52],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(0,1)=15,(0,4)=22,(3,4)=42,(2,3)=44,(2,4)=52,(0,3)=60,(1,3)=64,(0,2)=71,(1,2)=76]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=29\",\"Find(0)=1, Find(4)=1, Add (0,4)=22 Failed, w=29\",\"Find(3)=3, Find(4)=1, Add (3,4)=42 Succeeded, w=71\",\"Find(2)=2, Find(3)=1, Add (2,3)=44 Succeeded, w=115\",\"Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=115\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=115\",\"Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=115\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=115\",\"Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,71],[0,3,60],[0,4,22],[1,2,76],[1,3,64],[1,4,14],[2,3,44],[2,4,52],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(0,1)=15,(0,4)=22,(3,4)=42,(2,3)=44,(2,4)=52,(0,3)=60,(1,3)=64,(0,2)=71,(1,2)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=22 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=42 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=44 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,29],[0,4,64],[0,6,20],[1,2,79],[1,3,21],[1,6,31],[2,4,25],[2,5,76],[2,6,52],[4,5,45],[5,6,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[0,4,64],[0,6,20],[1,2,79],[1,3,21],[1,6,31],[2,4,25],[2,5,76],[2,6,52],[4,5,45],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[0,4,64],[0,6,20],[1,2,79],[1,3,21],[1,6,31],[2,4,25],[2,5,76],[2,6,52],[4,5,45],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,6)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[0,4,64],[0,6,20],[1,2,79],[1,3,21],[1,6,31],[2,4,25],[2,5,76],[2,6,52],[4,5,45],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (0,6)=20, w=24\",\"Add (1,3)=21, w=45\",\"Add (2,4)=25, w=70\",\"Add (0,2)=29, w=99\",\"Add (1,6)=31, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[0,4,64],[0,6,20],[1,2,79],[1,3,21],[1,6,31],[2,4,25],[2,5,76],[2,6,52],[4,5,45],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (0,6)=20 Succeeded, w=24\",\"Add (1,3)=21 Succeeded, w=45\",\"Add (2,4)=25 Succeeded, w=70\",\"Add (0,2)=29 Succeeded, w=99\",\"Add (1,6)=31 Succeeded, w=130\",\"Add (4,5)=45 Failed, w=130\",\"Add (2,6)=52 Failed, w=130\",\"Add (0,4)=64 Failed, w=130\",\"Add (2,5)=76 Failed, w=130\",\"Add (1,2)=79 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[0,4,64],[0,6,20],[1,2,79],[1,3,21],[1,6,31],[2,4,25],[2,5,76],[2,6,52],[4,5,45],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(0,6)=20,(1,3)=21,(2,4)=25,(0,2)=29,(1,6)=31,(4,5)=45,(2,6)=52,(0,4)=64,(2,5)=76,(1,2)=79]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(6)=5, Add (0,6)=20 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=45\",\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=70\",\"Find(0)=5, Find(2)=2, Add (0,2)=29 Succeeded, w=99\",\"Find(1)=1, Find(6)=5, Add (1,6)=31 Succeeded, w=130\",\"Find(4)=5, Find(5)=5, Add (4,5)=45 Failed, w=130\",\"Find(2)=5, Find(6)=5, Add (2,6)=52 Failed, w=130\",\"Find(0)=5, Find(4)=5, Add (0,4)=64 Failed, w=130\",\"Find(2)=5, Find(5)=5, Add (2,5)=76 Failed, w=130\",\"Find(1)=5, Find(2)=5, Add (1,2)=79 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,29],[0,4,64],[0,6,20],[1,2,79],[1,3,21],[1,6,31],[2,4,25],[2,5,76],[2,6,52],[4,5,45],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(0,6)=20,(1,3)=21,(2,4)=25,(0,2)=29,(1,6)=31,(4,5)=45,(2,6)=52,(0,4)=64,(2,5)=76,(1,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=20 Succeeded, w=24\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=45\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 5}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=70\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 1, 4: 2, 5: 5, 6: 5}, Find(0)=5, Find(2)=2, Add (0,2)=29 Succeeded, w=99\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 1, 4: 2, 5: 5, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=31 Succeeded, w=130\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 1, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=45 Failed, w=130\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 1, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=52 Failed, w=130\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 1, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=64 Failed, w=130\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 1, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=76 Failed, w=130\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 1, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(2)=5, Add (1,2)=79 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,70],[0,2,57],[0,3,1],[0,5,76],[0,6,45],[1,2,99],[1,3,100],[1,4,12],[1,5,60],[1,6,60],[2,4,34],[2,5,4],[2,6,92],[3,4,29],[3,6,35],[4,6,56],[5,6,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,57],[0,3,1],[0,5,76],[0,6,45],[1,2,99],[1,3,100],[1,4,12],[1,5,60],[1,6,60],[2,4,34],[2,5,4],[2,6,92],[3,4,29],[3,6,35],[4,6,56],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,57],[0,3,1],[0,5,76],[0,6,45],[1,2,99],[1,3,100],[1,4,12],[1,5,60],[1,6,60],[2,4,34],[2,5,4],[2,6,92],[3,4,29],[3,6,35],[4,6,56],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (3,6)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,57],[0,3,1],[0,5,76],[0,6,45],[1,2,99],[1,3,100],[1,4,12],[1,5,60],[1,6,60],[2,4,34],[2,5,4],[2,6,92],[3,4,29],[3,6,35],[4,6,56],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (2,5)=4, w=5\",\"Add (1,4)=12, w=17\",\"Add (3,4)=29, w=46\",\"Add (2,4)=34, w=80\",\"Add (3,6)=35, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,57],[0,3,1],[0,5,76],[0,6,45],[1,2,99],[1,3,100],[1,4,12],[1,5,60],[1,6,60],[2,4,34],[2,5,4],[2,6,92],[3,4,29],[3,6,35],[4,6,56],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (2,5)=4 Succeeded, w=5\",\"Add (1,4)=12 Succeeded, w=17\",\"Add (3,4)=29 Succeeded, w=46\",\"Add (2,4)=34 Succeeded, w=80\",\"Add (3,6)=35 Succeeded, w=115\",\"Add (0,6)=45 Failed, w=115\",\"Add (4,6)=56 Failed, w=115\",\"Add (0,2)=57 Failed, w=115\",\"Add (1,5)=60 Failed, w=115\",\"Add (1,6)=60 Failed, w=115\",\"Add (5,6)=60 Failed, w=115\",\"Add (0,1)=70 Failed, w=115\",\"Add (0,5)=76 Failed, w=115\",\"Add (2,6)=92 Failed, w=115\",\"Add (1,2)=99 Failed, w=115\",\"Add (1,3)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,57],[0,3,1],[0,5,76],[0,6,45],[1,2,99],[1,3,100],[1,4,12],[1,5,60],[1,6,60],[2,4,34],[2,5,4],[2,6,92],[3,4,29],[3,6,35],[4,6,56],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,5)=4,(1,4)=12,(3,4)=29,(2,4)=34,(3,6)=35,(0,6)=45,(4,6)=56,(0,2)=57,(1,5)=60,(1,6)=60,(5,6)=60,(0,1)=70,(0,5)=76,(2,6)=92,(1,2)=99,(1,3)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=17\",\"Find(3)=0, Find(4)=1, Add (3,4)=29 Succeeded, w=46\",\"Find(2)=2, Find(4)=0, Add (2,4)=34 Succeeded, w=80\",\"Find(3)=0, Find(6)=6, Add (3,6)=35 Succeeded, w=115\",\"Find(0)=0, Find(6)=0, Add (0,6)=45 Failed, w=115\",\"Find(4)=0, Find(6)=0, Add (4,6)=56 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=115\",\"Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=115\",\"Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=115\",\"Find(5)=0, Find(6)=0, Add (5,6)=60 Failed, w=115\",\"Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=115\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=115\",\"Find(2)=0, Find(6)=0, Add (2,6)=92 Failed, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,57],[0,3,1],[0,5,76],[0,6,45],[1,2,99],[1,3,100],[1,4,12],[1,5,60],[1,6,60],[2,4,34],[2,5,4],[2,6,92],[3,4,29],[3,6,35],[4,6,56],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,5)=4,(1,4)=12,(3,4)=29,(2,4)=34,(3,6)=35,(0,6)=45,(4,6)=56,(0,2)=57,(1,5)=60,(1,6)=60,(5,6)=60,(0,1)=70,(0,5)=76,(2,6)=92,(1,2)=99,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 2, 6: 6}, Find(3)=0, Find(4)=1, Add (3,4)=29 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 6}, Find(2)=2, Find(4)=0, Add (2,4)=34 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=35 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=45 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=56 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=60 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=92 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,25],[0,3,85],[0,4,17],[0,5,16],[0,6,96],[1,3,58],[1,5,99],[1,6,68],[2,3,58],[2,4,64],[2,6,93],[3,4,12],[3,5,34],[3,6,35],[4,5,100],[4,6,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,85],[0,4,17],[0,5,16],[0,6,96],[1,3,58],[1,5,99],[1,6,68],[2,3,58],[2,4,64],[2,6,93],[3,4,12],[3,5,34],[3,6,35],[4,5,100],[4,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,85],[0,4,17],[0,5,16],[0,6,96],[1,3,58],[1,5,99],[1,6,68],[2,3,58],[2,4,64],[2,6,93],[3,4,12],[3,5,34],[3,6,35],[4,5,100],[4,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (2,3)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,85],[0,4,17],[0,5,16],[0,6,96],[1,3,58],[1,5,99],[1,6,68],[2,3,58],[2,4,64],[2,6,93],[3,4,12],[3,5,34],[3,6,35],[4,5,100],[4,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12, w=12\",\"Add (0,5)=16, w=28\",\"Add (0,4)=17, w=45\",\"Add (0,1)=25, w=70\",\"Add (3,6)=35, w=105\",\"Add (2,3)=58, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,85],[0,4,17],[0,5,16],[0,6,96],[1,3,58],[1,5,99],[1,6,68],[2,3,58],[2,4,64],[2,6,93],[3,4,12],[3,5,34],[3,6,35],[4,5,100],[4,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12 Succeeded, w=12\",\"Add (0,5)=16 Succeeded, w=28\",\"Add (0,4)=17 Succeeded, w=45\",\"Add (0,1)=25 Succeeded, w=70\",\"Add (3,5)=34 Failed, w=70\",\"Add (3,6)=35 Succeeded, w=105\",\"Add (1,3)=58 Failed, w=105\",\"Add (2,3)=58 Succeeded, w=163\",\"Add (2,4)=64 Failed, w=163\",\"Add (4,6)=65 Failed, w=163\",\"Add (1,6)=68 Failed, w=163\",\"Add (0,3)=85 Failed, w=163\",\"Add (2,6)=93 Failed, w=163\",\"Add (0,6)=96 Failed, w=163\",\"Add (1,5)=99 Failed, w=163\",\"Add (4,5)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,85],[0,4,17],[0,5,16],[0,6,96],[1,3,58],[1,5,99],[1,6,68],[2,3,58],[2,4,64],[2,6,93],[3,4,12],[3,5,34],[3,6,35],[4,5,100],[4,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(0,5)=16,(0,4)=17,(0,1)=25,(3,5)=34,(3,6)=35,(1,3)=58,(2,3)=58,(2,4)=64,(4,6)=65,(1,6)=68,(0,3)=85,(2,6)=93,(0,6)=96,(1,5)=99,(4,5)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=28\",\"Find(0)=0, Find(4)=3, Add (0,4)=17 Succeeded, w=45\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=70\",\"Find(3)=0, Find(5)=0, Add (3,5)=34 Failed, w=70\",\"Find(3)=0, Find(6)=6, Add (3,6)=35 Succeeded, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=105\",\"Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=163\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=163\",\"Find(4)=0, Find(6)=0, Add (4,6)=65 Failed, w=163\",\"Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=163\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=163\",\"Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=163\",\"Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=163\",\"Find(1)=0, Find(5)=0, Add (1,5)=99 Failed, w=163\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,3,85],[0,4,17],[0,5,16],[0,6,96],[1,3,58],[1,5,99],[1,6,68],[2,3,58],[2,4,64],[2,6,93],[3,4,12],[3,5,34],[3,6,35],[4,5,100],[4,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(0,5)=16,(0,4)=17,(0,1)=25,(3,5)=34,(3,6)=35,(1,3)=58,(2,3)=58,(2,4)=64,(4,6)=65,(1,6)=68,(0,3)=85,(2,6)=93,(0,6)=96,(1,5)=99,(4,5)=100]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(4)=3, Add (0,4)=17 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0, 6: 6}, Find(3)=0, Find(5)=0, Add (3,5)=34 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=35 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=65 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=99 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,19],[0,2,30],[0,3,71],[0,5,53],[1,2,71],[1,4,84],[1,5,47],[2,3,92],[2,4,7],[2,5,47],[3,4,94],[3,5,18],[4,5,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,30],[0,3,71],[0,5,53],[1,2,71],[1,4,84],[1,5,47],[2,3,92],[2,4,7],[2,5,47],[3,4,94],[3,5,18],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,30],[0,3,71],[0,5,53],[1,2,71],[1,4,84],[1,5,47],[2,3,92],[2,4,7],[2,5,47],[3,4,94],[3,5,18],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,30],[0,3,71],[0,5,53],[1,2,71],[1,4,84],[1,5,47],[2,3,92],[2,4,7],[2,5,47],[3,4,94],[3,5,18],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7, w=7\",\"Add (3,5)=18, w=25\",\"Add (0,1)=19, w=44\",\"Add (0,2)=30, w=74\",\"Add (1,5)=47, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,30],[0,3,71],[0,5,53],[1,2,71],[1,4,84],[1,5,47],[2,3,92],[2,4,7],[2,5,47],[3,4,94],[3,5,18],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7 Succeeded, w=7\",\"Add (3,5)=18 Succeeded, w=25\",\"Add (0,1)=19 Succeeded, w=44\",\"Add (0,2)=30 Succeeded, w=74\",\"Add (1,5)=47 Succeeded, w=121\",\"Add (2,5)=47 Failed, w=121\",\"Add (0,5)=53 Failed, w=121\",\"Add (0,3)=71 Failed, w=121\",\"Add (1,2)=71 Failed, w=121\",\"Add (1,4)=84 Failed, w=121\",\"Add (4,5)=85 Failed, w=121\",\"Add (2,3)=92 Failed, w=121\",\"Add (3,4)=94 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,30],[0,3,71],[0,5,53],[1,2,71],[1,4,84],[1,5,47],[2,3,92],[2,4,7],[2,5,47],[3,4,94],[3,5,18],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(3,5)=18,(0,1)=19,(0,2)=30,(1,5)=47,(2,5)=47,(0,5)=53,(0,3)=71,(1,2)=71,(1,4)=84,(4,5)=85,(2,3)=92,(3,4)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=44\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=74\",\"Find(1)=0, Find(5)=3, Add (1,5)=47 Succeeded, w=121\",\"Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=121\",\"Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=121\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=121\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=121\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=121\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=121\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,30],[0,3,71],[0,5,53],[1,2,71],[1,4,84],[1,5,47],[2,3,92],[2,4,7],[2,5,47],[3,4,94],[3,5,18],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(3,5)=18,(0,1)=19,(0,2)=30,(1,5)=47,(2,5)=47,(0,5)=53,(0,3)=71,(1,2)=71,(1,4)=84,(4,5)=85,(2,3)=92,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 3}, Find(1)=0, Find(5)=3, Add (1,5)=47 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,75],[0,2,66],[0,3,17],[2,3,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,66],[0,3,17],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,66],[0,3,17],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,66],[0,3,17],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17, w=17\",\"Add (2,3)=48, w=65\",\"Add (0,1)=75, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,66],[0,3,17],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17 Succeeded, w=17\",\"Add (2,3)=48 Succeeded, w=65\",\"Add (0,2)=66 Failed, w=65\",\"Add (0,1)=75 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,66],[0,3,17],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(2,3)=48,(0,2)=66,(0,1)=75]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=65\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=65\",\"Find(0)=0, Find(1)=1, Add (0,1)=75 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,2,66],[0,3,17],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(2,3)=48,(0,2)=66,(0,1)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=75 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,8],[0,2,98],[0,3,78],[0,4,14],[0,5,8],[1,2,5],[1,3,7],[1,4,2],[1,5,43],[2,3,52],[2,4,19],[2,5,7],[3,4,79],[3,5,98],[4,5,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,98],[0,3,78],[0,4,14],[0,5,8],[1,2,5],[1,3,7],[1,4,2],[1,5,43],[2,3,52],[2,4,19],[2,5,7],[3,4,79],[3,5,98],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,98],[0,3,78],[0,4,14],[0,5,8],[1,2,5],[1,3,7],[1,4,2],[1,5,43],[2,3,52],[2,4,19],[2,5,7],[3,4,79],[3,5,98],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,98],[0,3,78],[0,4,14],[0,5,8],[1,2,5],[1,3,7],[1,4,2],[1,5,43],[2,3,52],[2,4,19],[2,5,7],[3,4,79],[3,5,98],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (1,2)=5, w=7\",\"Add (1,3)=7, w=14\",\"Add (2,5)=7, w=21\",\"Add (0,1)=8, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,98],[0,3,78],[0,4,14],[0,5,8],[1,2,5],[1,3,7],[1,4,2],[1,5,43],[2,3,52],[2,4,19],[2,5,7],[3,4,79],[3,5,98],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (1,2)=5 Succeeded, w=7\",\"Add (1,3)=7 Succeeded, w=14\",\"Add (2,5)=7 Succeeded, w=21\",\"Add (0,1)=8 Succeeded, w=29\",\"Add (0,5)=8 Failed, w=29\",\"Add (0,4)=14 Failed, w=29\",\"Add (2,4)=19 Failed, w=29\",\"Add (4,5)=27 Failed, w=29\",\"Add (1,5)=43 Failed, w=29\",\"Add (2,3)=52 Failed, w=29\",\"Add (0,3)=78 Failed, w=29\",\"Add (3,4)=79 Failed, w=29\",\"Add (0,2)=98 Failed, w=29\",\"Add (3,5)=98 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,98],[0,3,78],[0,4,14],[0,5,8],[1,2,5],[1,3,7],[1,4,2],[1,5,43],[2,3,52],[2,4,19],[2,5,7],[3,4,79],[3,5,98],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,2)=5,(1,3)=7,(2,5)=7,(0,1)=8,(0,5)=8,(0,4)=14,(2,4)=19,(4,5)=27,(1,5)=43,(2,3)=52,(0,3)=78,(3,4)=79,(0,2)=98,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=14\",\"Find(2)=1, Find(5)=5, Add (2,5)=7 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=29\",\"Find(0)=1, Find(5)=1, Add (0,5)=8 Failed, w=29\",\"Find(0)=1, Find(4)=1, Add (0,4)=14 Failed, w=29\",\"Find(2)=1, Find(4)=1, Add (2,4)=19 Failed, w=29\",\"Find(4)=1, Find(5)=1, Add (4,5)=27 Failed, w=29\",\"Find(1)=1, Find(5)=1, Add (1,5)=43 Failed, w=29\",\"Find(2)=1, Find(3)=1, Add (2,3)=52 Failed, w=29\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=29\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=29\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=29\",\"Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,98],[0,3,78],[0,4,14],[0,5,8],[1,2,5],[1,3,7],[1,4,2],[1,5,43],[2,3,52],[2,4,19],[2,5,7],[3,4,79],[3,5,98],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,2)=5,(1,3)=7,(2,5)=7,(0,1)=8,(0,5)=8,(0,4)=14,(2,4)=19,(4,5)=27,(1,5)=43,(2,3)=52,(0,3)=78,(3,4)=79,(0,2)=98,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=7 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=8 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=14 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=19 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=27 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=43 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=52 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.