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":[[0,1,26],[0,2,91],[0,3,73],[0,4,63],[0,5,41],[0,6,54],[1,2,73],[1,3,30],[1,4,13],[1,5,70],[1,6,50],[2,3,44],[2,4,24],[2,5,60],[2,6,27],[3,4,99],[3,5,34],[3,6,33],[4,6,57],[5,6,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,91],[0,3,73],[0,4,63],[0,5,41],[0,6,54],[1,2,73],[1,3,30],[1,4,13],[1,5,70],[1,6,50],[2,3,44],[2,4,24],[2,5,60],[2,6,27],[3,4,99],[3,5,34],[3,6,33],[4,6,57],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"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],[0,2,91],[0,3,73],[0,4,63],[0,5,41],[0,6,54],[1,2,73],[1,3,30],[1,4,13],[1,5,70],[1,6,50],[2,3,44],[2,4,24],[2,5,60],[2,6,27],[3,4,99],[3,5,34],[3,6,33],[4,6,57],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (3,5)\"],\"Answer\":154}",
"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],[0,2,91],[0,3,73],[0,4,63],[0,5,41],[0,6,54],[1,2,73],[1,3,30],[1,4,13],[1,5,70],[1,6,50],[2,3,44],[2,4,24],[2,5,60],[2,6,27],[3,4,99],[3,5,34],[3,6,33],[4,6,57],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13, w=13\",\"Add (2,4)=24, w=37\",\"Add (0,1)=26, w=63\",\"Add (2,6)=27, w=90\",\"Add (1,3)=30, w=120\",\"Add (3,5)=34, w=154\"],\"Answer\":154}",
"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],[0,2,91],[0,3,73],[0,4,63],[0,5,41],[0,6,54],[1,2,73],[1,3,30],[1,4,13],[1,5,70],[1,6,50],[2,3,44],[2,4,24],[2,5,60],[2,6,27],[3,4,99],[3,5,34],[3,6,33],[4,6,57],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13 Succeeded, w=13\",\"Add (2,4)=24 Succeeded, w=37\",\"Add (0,1)=26 Succeeded, w=63\",\"Add (2,6)=27 Succeeded, w=90\",\"Add (1,3)=30 Succeeded, w=120\",\"Add (3,6)=33 Failed, w=120\",\"Add (3,5)=34 Succeeded, w=154\",\"Add (0,5)=41 Failed, w=154\",\"Add (2,3)=44 Failed, w=154\",\"Add (1,6)=50 Failed, w=154\",\"Add (0,6)=54 Failed, w=154\",\"Add (4,6)=57 Failed, w=154\",\"Add (2,5)=60 Failed, w=154\",\"Add (0,4)=63 Failed, w=154\",\"Add (1,5)=70 Failed, w=154\",\"Add (0,3)=73 Failed, w=154\",\"Add (1,2)=73 Failed, w=154\",\"Add (0,2)=91 Failed, w=154\",\"Add (5,6)=92 Failed, w=154\",\"Add (3,4)=99 Failed, w=154\"],\"Answer\":154}",
"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],[0,2,91],[0,3,73],[0,4,63],[0,5,41],[0,6,54],[1,2,73],[1,3,30],[1,4,13],[1,5,70],[1,6,50],[2,3,44],[2,4,24],[2,5,60],[2,6,27],[3,4,99],[3,5,34],[3,6,33],[4,6,57],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(2,4)=24,(0,1)=26,(2,6)=27,(1,3)=30,(3,6)=33,(3,5)=34,(0,5)=41,(2,3)=44,(1,6)=50,(0,6)=54,(4,6)=57,(2,5)=60,(0,4)=63,(1,5)=70,(0,3)=73,(1,2)=73,(0,2)=91,(5,6)=92,(3,4)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Find(2)=2, Find(4)=1, Add (2,4)=24 Succeeded, w=37\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=63\",\"Find(2)=1, Find(6)=6, Add (2,6)=27 Succeeded, w=90\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=120\",\"Find(3)=1, Find(6)=1, Add (3,6)=33 Failed, w=120\",\"Find(3)=1, Find(5)=5, Add (3,5)=34 Succeeded, w=154\",\"Find(0)=1, Find(5)=1, Add (0,5)=41 Failed, w=154\",\"Find(2)=1, Find(3)=1, Add (2,3)=44 Failed, w=154\",\"Find(1)=1, Find(6)=1, Add (1,6)=50 Failed, w=154\",\"Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=154\",\"Find(4)=1, Find(6)=1, Add (4,6)=57 Failed, w=154\",\"Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=154\",\"Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=154\",\"Find(1)=1, Find(5)=1, Add (1,5)=70 Failed, w=154\",\"Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=154\",\"Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=154\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=154\",\"Find(5)=1, Find(6)=1, Add (5,6)=92 Failed, w=154\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=154\"],\"Answer\":154}",
"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],[0,2,91],[0,3,73],[0,4,63],[0,5,41],[0,6,54],[1,2,73],[1,3,30],[1,4,13],[1,5,70],[1,6,50],[2,3,44],[2,4,24],[2,5,60],[2,6,27],[3,4,99],[3,5,34],[3,6,33],[4,6,57],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(2,4)=24,(0,1)=26,(2,6)=27,(1,3)=30,(3,6)=33,(3,5)=34,(0,5)=41,(2,3)=44,(1,6)=50,(0,6)=54,(4,6)=57,(2,5)=60,(0,4)=63,(1,5)=70,(0,3)=73,(1,2)=73,(0,2)=91,(5,6)=92,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(4)=1, Add (2,4)=24 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=27 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=33 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=34 Succeeded, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=41 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=44 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=50 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=57 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=70 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=92 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,22],[0,3,6],[0,4,14],[0,6,32],[1,2,15],[1,3,74],[1,6,63],[3,5,0],[3,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,22],[0,3,6],[0,4,14],[0,6,32],[1,2,15],[1,3,74],[1,6,63],[3,5,0],[3,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,22],[0,3,6],[0,4,14],[0,6,32],[1,2,15],[1,3,74],[1,6,63],[3,5,0],[3,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,22],[0,3,6],[0,4,14],[0,6,32],[1,2,15],[1,3,74],[1,6,63],[3,5,0],[3,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (0,3)=6, w=6\",\"Add (3,6)=11, w=17\",\"Add (0,4)=14, w=31\",\"Add (1,2)=15, w=46\",\"Add (0,2)=22, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,22],[0,3,6],[0,4,14],[0,6,32],[1,2,15],[1,3,74],[1,6,63],[3,5,0],[3,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (0,3)=6 Succeeded, w=6\",\"Add (3,6)=11 Succeeded, w=17\",\"Add (0,4)=14 Succeeded, w=31\",\"Add (1,2)=15 Succeeded, w=46\",\"Add (0,2)=22 Succeeded, w=68\",\"Add (0,6)=32 Failed, w=68\",\"Add (1,6)=63 Failed, w=68\",\"Add (1,3)=74 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,22],[0,3,6],[0,4,14],[0,6,32],[1,2,15],[1,3,74],[1,6,63],[3,5,0],[3,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(0,3)=6,(3,6)=11,(0,4)=14,(1,2)=15,(0,2)=22,(0,6)=32,(1,6)=63,(1,3)=74]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=17\",\"Find(0)=3, Find(4)=4, Add (0,4)=14 Succeeded, w=31\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=46\",\"Find(0)=3, Find(2)=1, Add (0,2)=22 Succeeded, w=68\",\"Find(0)=3, Find(6)=3, Add (0,6)=32 Failed, w=68\",\"Find(1)=3, Find(6)=3, Add (1,6)=63 Failed, w=68\",\"Find(1)=3, Find(3)=3, Add (1,3)=74 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,22],[0,3,6],[0,4,14],[0,6,32],[1,2,15],[1,3,74],[1,6,63],[3,5,0],[3,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(0,3)=6,(3,6)=11,(0,4)=14,(1,2)=15,(0,2)=22,(0,6)=32,(1,6)=63,(1,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=17\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=4, Add (0,4)=14 Succeeded, w=31\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=46\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=1, Add (0,2)=22 Succeeded, w=68\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=32 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=63 Failed, w=68\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=74 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,10],[0,2,4],[1,2,42],[2,3,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,4],[1,2,42],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,4],[1,2,42],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,4],[1,2,42],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (0,1)=10, w=14\",\"Add (2,3)=24, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,4],[1,2,42],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (0,1)=10 Succeeded, w=14\",\"Add (2,3)=24 Succeeded, w=38\",\"Add (1,2)=42 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,4],[1,2,42],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(0,1)=10,(2,3)=24,(1,2)=42]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=14\",\"Find(2)=0, Find(3)=3, Add (2,3)=24 Succeeded, w=38\",\"Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,4],[1,2,42],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(0,1)=10,(2,3)=24,(1,2)=42]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=24 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,44],[1,3,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=44, w=44\",\"Add (1,3)=88, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=44 Succeeded, w=44\",\"Add (1,3)=88 Succeeded, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=44,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=44\",\"Find(1)=1, Find(3)=0, Add (1,3)=88 Succeeded, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=44,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=88 Succeeded, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,80],[0,2,70],[0,5,52],[1,2,25],[2,3,48],[2,4,95],[2,5,81],[3,4,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,70],[0,5,52],[1,2,25],[2,3,48],[2,4,95],[2,5,81],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,70],[0,5,52],[1,2,25],[2,3,48],[2,4,95],[2,5,81],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,70],[0,5,52],[1,2,25],[2,3,48],[2,4,95],[2,5,81],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=25, w=25\",\"Add (2,3)=48, w=73\",\"Add (0,5)=52, w=125\",\"Add (0,2)=70, w=195\",\"Add (2,4)=95, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,70],[0,5,52],[1,2,25],[2,3,48],[2,4,95],[2,5,81],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=25 Succeeded, w=25\",\"Add (2,3)=48 Succeeded, w=73\",\"Add (0,5)=52 Succeeded, w=125\",\"Add (0,2)=70 Succeeded, w=195\",\"Add (0,1)=80 Failed, w=195\",\"Add (2,5)=81 Failed, w=195\",\"Add (2,4)=95 Succeeded, w=290\",\"Add (3,4)=96 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,70],[0,5,52],[1,2,25],[2,3,48],[2,4,95],[2,5,81],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=25,(2,3)=48,(0,5)=52,(0,2)=70,(0,1)=80,(2,5)=81,(2,4)=95,(3,4)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=25\",\"Find(2)=1, Find(3)=3, Add (2,3)=48 Succeeded, w=73\",\"Find(0)=0, Find(5)=5, Add (0,5)=52 Succeeded, w=125\",\"Find(0)=0, Find(2)=1, Add (0,2)=70 Succeeded, w=195\",\"Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=195\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=195\",\"Find(2)=0, Find(4)=4, Add (2,4)=95 Succeeded, w=290\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,70],[0,5,52],[1,2,25],[2,3,48],[2,4,95],[2,5,81],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=25,(2,3)=48,(0,5)=52,(0,2)=70,(0,1)=80,(2,5)=81,(2,4)=95,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=1, Find(3)=3, Add (2,3)=48 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=52 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(2)=1, Add (0,2)=70 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(4)=4, Add (2,4)=95 Succeeded, w=290\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,2,9],[0,3,25],[0,5,83],[0,6,37],[1,2,48],[1,4,61],[1,6,43],[2,3,57],[2,4,78],[2,5,10],[2,6,75],[3,4,69],[3,5,6],[3,6,26],[4,5,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,9],[0,3,25],[0,5,83],[0,6,37],[1,2,48],[1,4,61],[1,6,43],[2,3,57],[2,4,78],[2,5,10],[2,6,75],[3,4,69],[3,5,6],[3,6,26],[4,5,89]]}",
"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\":[[0,1,43],[0,2,9],[0,3,25],[0,5,83],[0,6,37],[1,2,48],[1,4,61],[1,6,43],[2,3,57],[2,4,78],[2,5,10],[2,6,75],[3,4,69],[3,5,6],[3,6,26],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,9],[0,3,25],[0,5,83],[0,6,37],[1,2,48],[1,4,61],[1,6,43],[2,3,57],[2,4,78],[2,5,10],[2,6,75],[3,4,69],[3,5,6],[3,6,26],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6, w=6\",\"Add (0,2)=9, w=15\",\"Add (2,5)=10, w=25\",\"Add (3,6)=26, w=51\",\"Add (0,1)=43, w=94\",\"Add (1,4)=61, 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\":[[0,1,43],[0,2,9],[0,3,25],[0,5,83],[0,6,37],[1,2,48],[1,4,61],[1,6,43],[2,3,57],[2,4,78],[2,5,10],[2,6,75],[3,4,69],[3,5,6],[3,6,26],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6 Succeeded, w=6\",\"Add (0,2)=9 Succeeded, w=15\",\"Add (2,5)=10 Succeeded, w=25\",\"Add (0,3)=25 Failed, w=25\",\"Add (3,6)=26 Succeeded, w=51\",\"Add (0,6)=37 Failed, w=51\",\"Add (0,1)=43 Succeeded, w=94\",\"Add (1,6)=43 Failed, w=94\",\"Add (1,2)=48 Failed, w=94\",\"Add (2,3)=57 Failed, w=94\",\"Add (1,4)=61 Succeeded, w=155\",\"Add (3,4)=69 Failed, w=155\",\"Add (2,6)=75 Failed, w=155\",\"Add (2,4)=78 Failed, w=155\",\"Add (0,5)=83 Failed, w=155\",\"Add (4,5)=89 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\":[[0,1,43],[0,2,9],[0,3,25],[0,5,83],[0,6,37],[1,2,48],[1,4,61],[1,6,43],[2,3,57],[2,4,78],[2,5,10],[2,6,75],[3,4,69],[3,5,6],[3,6,26],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(0,2)=9,(2,5)=10,(0,3)=25,(3,6)=26,(0,6)=37,(0,1)=43,(1,6)=43,(1,2)=48,(2,3)=57,(1,4)=61,(3,4)=69,(2,6)=75,(2,4)=78,(0,5)=83,(4,5)=89]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=15\",\"Find(2)=0, Find(5)=3, Add (2,5)=10 Succeeded, w=25\",\"Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=25\",\"Find(3)=0, Find(6)=6, Add (3,6)=26 Succeeded, w=51\",\"Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=51\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=94\",\"Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=94\",\"Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=94\",\"Find(1)=0, Find(4)=4, Add (1,4)=61 Succeeded, w=155\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=155\",\"Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=155\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=155\",\"Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=155\",\"Find(4)=0, Find(5)=0, Add (4,5)=89 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\":[[0,1,43],[0,2,9],[0,3,25],[0,5,83],[0,6,37],[1,2,48],[1,4,61],[1,6,43],[2,3,57],[2,4,78],[2,5,10],[2,6,75],[3,4,69],[3,5,6],[3,6,26],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(0,2)=9,(2,5)=10,(0,3)=25,(3,6)=26,(0,6)=37,(0,1)=43,(1,6)=43,(1,2)=48,(2,3)=57,(1,4)=61,(3,4)=69,(2,6)=75,(2,4)=78,(0,5)=83,(4,5)=89]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 6}, Find(2)=0, Find(5)=3, Add (2,5)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=26 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(4)=4, Add (1,4)=61 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=75 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)=78 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)=83 Failed, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,52],[0,3,15],[0,4,66],[1,2,4],[1,3,86],[1,4,10],[2,3,44],[2,4,14],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,52],[0,3,15],[0,4,66],[1,2,4],[1,3,86],[1,4,10],[2,3,44],[2,4,14],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,52],[0,3,15],[0,4,66],[1,2,4],[1,3,86],[1,4,10],[2,3,44],[2,4,14],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,52],[0,3,15],[0,4,66],[1,2,4],[1,3,86],[1,4,10],[2,3,44],[2,4,14],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (1,4)=10, w=14\",\"Add (0,3)=15, w=29\",\"Add (0,1)=32, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,52],[0,3,15],[0,4,66],[1,2,4],[1,3,86],[1,4,10],[2,3,44],[2,4,14],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (1,4)=10 Succeeded, w=14\",\"Add (2,4)=14 Failed, w=14\",\"Add (0,3)=15 Succeeded, w=29\",\"Add (0,1)=32 Succeeded, w=61\",\"Add (2,3)=44 Failed, w=61\",\"Add (0,2)=52 Failed, w=61\",\"Add (0,4)=66 Failed, w=61\",\"Add (3,4)=83 Failed, w=61\",\"Add (1,3)=86 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,52],[0,3,15],[0,4,66],[1,2,4],[1,3,86],[1,4,10],[2,3,44],[2,4,14],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(1,4)=10,(2,4)=14,(0,3)=15,(0,1)=32,(2,3)=44,(0,2)=52,(0,4)=66,(3,4)=83,(1,3)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=14\",\"Find(2)=1, Find(4)=1, Add (2,4)=14 Failed, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=61\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=61\",\"Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=61\",\"Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=61\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=61\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,52],[0,3,15],[0,4,66],[1,2,4],[1,3,86],[1,4,10],[2,3,44],[2,4,14],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(1,4)=10,(2,4)=14,(0,3)=15,(0,1)=32,(2,3)=44,(0,2)=52,(0,4)=66,(3,4)=83,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=14 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,93],[1,2,33],[2,3,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,33],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,33],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,33],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=33, w=33\",\"Add (2,3)=83, w=116\",\"Add (0,2)=93, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,33],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=33 Succeeded, w=33\",\"Add (2,3)=83 Succeeded, w=116\",\"Add (0,2)=93 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,33],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=33,(2,3)=83,(0,2)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=33\",\"Find(2)=1, Find(3)=3, Add (2,3)=83 Succeeded, w=116\",\"Find(0)=0, Find(2)=1, Add (0,2)=93 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[1,2,33],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=33,(2,3)=83,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=83 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=93 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,21],[0,4,28],[1,2,69],[1,3,40],[2,3,10],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,4,28],[1,2,69],[1,3,40],[2,3,10],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,4,28],[1,2,69],[1,3,40],[2,3,10],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,4,28],[1,2,69],[1,3,40],[2,3,10],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (0,2)=21, w=31\",\"Add (0,4)=28, w=59\",\"Add (1,3)=40, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,4,28],[1,2,69],[1,3,40],[2,3,10],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (0,2)=21 Succeeded, w=31\",\"Add (0,4)=28 Succeeded, w=59\",\"Add (1,3)=40 Succeeded, w=99\",\"Add (1,2)=69 Failed, w=99\",\"Add (3,4)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,4,28],[1,2,69],[1,3,40],[2,3,10],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(0,2)=21,(0,4)=28,(1,3)=40,(1,2)=69,(3,4)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=31\",\"Find(0)=2, Find(4)=4, Add (0,4)=28 Succeeded, w=59\",\"Find(1)=1, Find(3)=2, Add (1,3)=40 Succeeded, w=99\",\"Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=99\",\"Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,4,28],[1,2,69],[1,3,40],[2,3,10],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(0,2)=21,(0,4)=28,(1,3)=40,(1,2)=69,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=4, Add (0,4)=28 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=40 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=69 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,2],[0,3,4],[1,2,89],[1,3,95],[2,3,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,3,4],[1,2,89],[1,3,95],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,3,4],[1,2,89],[1,3,95],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,3,4],[1,2,89],[1,3,95],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,3)=4, w=6\",\"Add (2,3)=47, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,3,4],[1,2,89],[1,3,95],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,3)=4 Succeeded, w=6\",\"Add (2,3)=47 Succeeded, w=53\",\"Add (1,2)=89 Failed, w=53\",\"Add (1,3)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,3,4],[1,2,89],[1,3,95],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=4,(2,3)=47,(1,2)=89,(1,3)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=6\",\"Find(2)=2, Find(3)=0, Add (2,3)=47 Succeeded, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=53\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,3,4],[1,2,89],[1,3,95],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=4,(2,3)=47,(1,2)=89,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=47 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,6],[0,2,89],[0,4,29],[0,5,29],[0,7,16],[1,2,18],[1,3,91],[1,4,16],[1,5,87],[1,7,77],[2,4,85],[2,5,57],[2,6,16],[2,7,21],[3,4,55],[3,5,70],[3,6,9],[3,7,90],[4,5,38],[4,6,22],[4,7,30],[5,7,45],[6,7,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,89],[0,4,29],[0,5,29],[0,7,16],[1,2,18],[1,3,91],[1,4,16],[1,5,87],[1,7,77],[2,4,85],[2,5,57],[2,6,16],[2,7,21],[3,4,55],[3,5,70],[3,6,9],[3,7,90],[4,5,38],[4,6,22],[4,7,30],[5,7,45],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,89],[0,4,29],[0,5,29],[0,7,16],[1,2,18],[1,3,91],[1,4,16],[1,5,87],[1,7,77],[2,4,85],[2,5,57],[2,6,16],[2,7,21],[3,4,55],[3,5,70],[3,6,9],[3,7,90],[4,5,38],[4,6,22],[4,7,30],[5,7,45],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,6)\",\"Add (0,7)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (0,5)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,89],[0,4,29],[0,5,29],[0,7,16],[1,2,18],[1,3,91],[1,4,16],[1,5,87],[1,7,77],[2,4,85],[2,5,57],[2,6,16],[2,7,21],[3,4,55],[3,5,70],[3,6,9],[3,7,90],[4,5,38],[4,6,22],[4,7,30],[5,7,45],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (3,6)=9, w=15\",\"Add (0,7)=16, w=31\",\"Add (1,4)=16, w=47\",\"Add (2,6)=16, w=63\",\"Add (1,2)=18, w=81\",\"Add (0,5)=29, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,89],[0,4,29],[0,5,29],[0,7,16],[1,2,18],[1,3,91],[1,4,16],[1,5,87],[1,7,77],[2,4,85],[2,5,57],[2,6,16],[2,7,21],[3,4,55],[3,5,70],[3,6,9],[3,7,90],[4,5,38],[4,6,22],[4,7,30],[5,7,45],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (3,6)=9 Succeeded, w=15\",\"Add (0,7)=16 Succeeded, w=31\",\"Add (1,4)=16 Succeeded, w=47\",\"Add (2,6)=16 Succeeded, w=63\",\"Add (1,2)=18 Succeeded, w=81\",\"Add (6,7)=19 Failed, w=81\",\"Add (2,7)=21 Failed, w=81\",\"Add (4,6)=22 Failed, w=81\",\"Add (0,4)=29 Failed, w=81\",\"Add (0,5)=29 Succeeded, w=110\",\"Add (4,7)=30 Failed, w=110\",\"Add (4,5)=38 Failed, w=110\",\"Add (5,7)=45 Failed, w=110\",\"Add (3,4)=55 Failed, w=110\",\"Add (2,5)=57 Failed, w=110\",\"Add (3,5)=70 Failed, w=110\",\"Add (1,7)=77 Failed, w=110\",\"Add (2,4)=85 Failed, w=110\",\"Add (1,5)=87 Failed, w=110\",\"Add (0,2)=89 Failed, w=110\",\"Add (3,7)=90 Failed, w=110\",\"Add (1,3)=91 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,89],[0,4,29],[0,5,29],[0,7,16],[1,2,18],[1,3,91],[1,4,16],[1,5,87],[1,7,77],[2,4,85],[2,5,57],[2,6,16],[2,7,21],[3,4,55],[3,5,70],[3,6,9],[3,7,90],[4,5,38],[4,6,22],[4,7,30],[5,7,45],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(3,6)=9,(0,7)=16,(1,4)=16,(2,6)=16,(1,2)=18,(6,7)=19,(2,7)=21,(4,6)=22,(0,4)=29,(0,5)=29,(4,7)=30,(4,5)=38,(5,7)=45,(3,4)=55,(2,5)=57,(3,5)=70,(1,7)=77,(2,4)=85,(1,5)=87,(0,2)=89,(3,7)=90,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=15\",\"Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=31\",\"Find(1)=0, Find(4)=4, Add (1,4)=16 Succeeded, w=47\",\"Find(2)=2, Find(6)=3, Add (2,6)=16 Succeeded, w=63\",\"Find(1)=0, Find(2)=3, Add (1,2)=18 Succeeded, w=81\",\"Find(6)=0, Find(7)=0, Add (6,7)=19 Failed, w=81\",\"Find(2)=0, Find(7)=0, Add (2,7)=21 Failed, w=81\",\"Find(4)=0, Find(6)=0, Add (4,6)=22 Failed, w=81\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=81\",\"Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=110\",\"Find(4)=0, Find(7)=0, Add (4,7)=30 Failed, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=110\",\"Find(5)=0, Find(7)=0, Add (5,7)=45 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=110\",\"Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=110\",\"Find(1)=0, Find(7)=0, Add (1,7)=77 Failed, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=110\",\"Find(3)=0, Find(7)=0, Add (3,7)=90 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,2,89],[0,4,29],[0,5,29],[0,7,16],[1,2,18],[1,3,91],[1,4,16],[1,5,87],[1,7,77],[2,4,85],[2,5,57],[2,6,16],[2,7,21],[3,4,55],[3,5,70],[3,6,9],[3,7,90],[4,5,38],[4,6,22],[4,7,30],[5,7,45],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(3,6)=9,(0,7)=16,(1,4)=16,(2,6)=16,(1,2)=18,(6,7)=19,(2,7)=21,(4,6)=22,(0,4)=29,(0,5)=29,(4,7)=30,(4,5)=38,(5,7)=45,(3,4)=55,(2,5)=57,(3,5)=70,(1,7)=77,(2,4)=85,(1,5)=87,(0,2)=89,(3,7)=90,(1,3)=91]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 3, 7: 0}, Find(1)=0, Find(4)=4, Add (1,4)=16 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 0, 5: 5, 6: 3, 7: 0}, Find(2)=2, Find(6)=3, Add (2,6)=16 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 5, 6: 3, 7: 0}, Find(1)=0, Find(2)=3, Add (1,2)=18 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=19 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=21 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=22 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=110\",\"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)=30 Failed, w=110\",\"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)=38 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=45 Failed, w=110\",\"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=110\",\"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)=57 Failed, w=110\",\"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)=70 Failed, w=110\",\"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)=77 Failed, w=110\",\"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)=85 Failed, w=110\",\"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)=87 Failed, w=110\",\"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)=89 Failed, w=110\",\"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)=90 Failed, w=110\",\"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)=91 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,3,15],[1,4,17],[2,3,91],[3,4,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,15],[1,4,17],[2,3,91],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,15],[1,4,17],[2,3,91],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,15],[1,4,17],[2,3,91],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15, w=15\",\"Add (1,4)=17, w=32\",\"Add (2,3)=91, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,15],[1,4,17],[2,3,91],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15 Succeeded, w=15\",\"Add (1,4)=17 Succeeded, w=32\",\"Add (3,4)=41 Failed, w=32\",\"Add (2,3)=91 Succeeded, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,15],[1,4,17],[2,3,91],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(1,4)=17,(3,4)=41,(2,3)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=32\",\"Find(3)=1, Find(4)=1, Add (3,4)=41 Failed, w=32\",\"Find(2)=2, Find(3)=1, Add (2,3)=91 Succeeded, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,3,15],[1,4,17],[2,3,91],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(1,4)=17,(3,4)=41,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=41 Failed, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=91 Succeeded, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,73],[0,2,33],[0,3,31],[1,2,36],[1,3,0],[2,3,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,33],[0,3,31],[1,2,36],[1,3,0],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,33],[0,3,31],[1,2,36],[1,3,0],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,33],[0,3,31],[1,2,36],[1,3,0],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,3)=9, w=9\",\"Add (0,3)=31, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,33],[0,3,31],[1,2,36],[1,3,0],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,3)=9 Succeeded, w=9\",\"Add (0,3)=31 Succeeded, w=40\",\"Add (0,2)=33 Failed, w=40\",\"Add (1,2)=36 Failed, w=40\",\"Add (0,1)=73 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,33],[0,3,31],[1,2,36],[1,3,0],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=9,(0,3)=31,(0,2)=33,(1,2)=36,(0,1)=73]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=1, Add (2,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=40\",\"Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=40\",\"Find(1)=1, Find(2)=1, Add (1,2)=36 Failed, w=40\",\"Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,33],[0,3,31],[1,2,36],[1,3,0],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=9,(0,3)=31,(0,2)=33,(1,2)=36,(0,1)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=36 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,46],[0,3,2],[1,2,19],[2,3,30],[2,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,2],[1,2,19],[2,3,30],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,2],[1,2,19],[2,3,30],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,2],[1,2,19],[2,3,30],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,2)=19, w=21\",\"Add (2,3)=30, w=51\",\"Add (2,4)=55, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,2],[1,2,19],[2,3,30],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,2)=19 Succeeded, w=21\",\"Add (2,3)=30 Succeeded, w=51\",\"Add (0,1)=46 Failed, w=51\",\"Add (2,4)=55 Succeeded, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,2],[1,2,19],[2,3,30],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,2)=19,(2,3)=30,(0,1)=46,(2,4)=55]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=21\",\"Find(2)=1, Find(3)=0, Add (2,3)=30 Succeeded, w=51\",\"Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=51\",\"Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,2],[1,2,19],[2,3,30],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,2)=19,(2,3)=30,(0,1)=46,(2,4)=55]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4}, Find(2)=1, Find(3)=0, Add (2,3)=30 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,51],[0,3,33],[0,4,96],[1,2,19],[1,3,97],[2,4,65],[3,4,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,33],[0,4,96],[1,2,19],[1,3,97],[2,4,65],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,33],[0,4,96],[1,2,19],[1,3,97],[2,4,65],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,33],[0,4,96],[1,2,19],[1,3,97],[2,4,65],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19, w=19\",\"Add (3,4)=20, w=39\",\"Add (0,3)=33, w=72\",\"Add (0,1)=51, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,33],[0,4,96],[1,2,19],[1,3,97],[2,4,65],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19 Succeeded, w=19\",\"Add (3,4)=20 Succeeded, w=39\",\"Add (0,3)=33 Succeeded, w=72\",\"Add (0,1)=51 Succeeded, w=123\",\"Add (2,4)=65 Failed, w=123\",\"Add (0,4)=96 Failed, w=123\",\"Add (1,3)=97 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,33],[0,4,96],[1,2,19],[1,3,97],[2,4,65],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(3,4)=20,(0,3)=33,(0,1)=51,(2,4)=65,(0,4)=96,(1,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=39\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=72\",\"Find(0)=3, Find(1)=1, Add (0,1)=51 Succeeded, w=123\",\"Find(2)=3, Find(4)=3, Add (2,4)=65 Failed, w=123\",\"Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=123\",\"Find(1)=3, Find(3)=3, Add (1,3)=97 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,33],[0,4,96],[1,2,19],[1,3,97],[2,4,65],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(3,4)=20,(0,3)=33,(0,1)=51,(2,4)=65,(0,4)=96,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=39\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=72\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=51 Succeeded, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=65 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=97 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,25],[0,3,26],[0,4,85],[0,5,9],[1,2,23],[1,3,65],[1,4,68],[1,5,25],[2,3,12],[2,4,24],[3,4,68],[3,5,86],[4,5,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,26],[0,4,85],[0,5,9],[1,2,23],[1,3,65],[1,4,68],[1,5,25],[2,3,12],[2,4,24],[3,4,68],[3,5,86],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,26],[0,4,85],[0,5,9],[1,2,23],[1,3,65],[1,4,68],[1,5,25],[2,3,12],[2,4,24],[3,4,68],[3,5,86],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,26],[0,4,85],[0,5,9],[1,2,23],[1,3,65],[1,4,68],[1,5,25],[2,3,12],[2,4,24],[3,4,68],[3,5,86],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=9, w=9\",\"Add (2,3)=12, w=21\",\"Add (1,2)=23, w=44\",\"Add (2,4)=24, w=68\",\"Add (0,1)=25, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,26],[0,4,85],[0,5,9],[1,2,23],[1,3,65],[1,4,68],[1,5,25],[2,3,12],[2,4,24],[3,4,68],[3,5,86],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=9 Succeeded, w=9\",\"Add (2,3)=12 Succeeded, w=21\",\"Add (1,2)=23 Succeeded, w=44\",\"Add (2,4)=24 Succeeded, w=68\",\"Add (0,1)=25 Succeeded, w=93\",\"Add (1,5)=25 Failed, w=93\",\"Add (0,3)=26 Failed, w=93\",\"Add (1,3)=65 Failed, w=93\",\"Add (1,4)=68 Failed, w=93\",\"Add (3,4)=68 Failed, w=93\",\"Add (4,5)=74 Failed, w=93\",\"Add (0,4)=85 Failed, w=93\",\"Add (3,5)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,26],[0,4,85],[0,5,9],[1,2,23],[1,3,65],[1,4,68],[1,5,25],[2,3,12],[2,4,24],[3,4,68],[3,5,86],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=9,(2,3)=12,(1,2)=23,(2,4)=24,(0,1)=25,(1,5)=25,(0,3)=26,(1,3)=65,(1,4)=68,(3,4)=68,(4,5)=74,(0,4)=85,(3,5)=86]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=44\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=68\",\"Find(0)=0, Find(1)=2, Add (0,1)=25 Succeeded, w=93\",\"Find(1)=0, Find(5)=0, Add (1,5)=25 Failed, w=93\",\"Find(0)=0, Find(3)=0, Add (0,3)=26 Failed, w=93\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=93\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=93\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=93\",\"Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=93\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=93\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,26],[0,4,85],[0,5,9],[1,2,23],[1,3,65],[1,4,68],[1,5,25],[2,3,12],[2,4,24],[3,4,68],[3,5,86],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=9,(2,3)=12,(1,2)=23,(2,4)=24,(0,1)=25,(1,5)=25,(0,3)=26,(1,3)=65,(1,4)=68,(3,4)=68,(4,5)=74,(0,4)=85,(3,5)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=68\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 2, 5: 0}, Find(0)=0, Find(1)=2, Add (0,1)=25 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=25 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=26 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,51],[0,4,91],[1,2,20],[1,4,22],[1,5,35],[2,4,79],[2,6,61],[3,4,76],[3,5,0],[4,5,14],[5,6,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,91],[1,2,20],[1,4,22],[1,5,35],[2,4,79],[2,6,61],[3,4,76],[3,5,0],[4,5,14],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,91],[1,2,20],[1,4,22],[1,5,35],[2,4,79],[2,6,61],[3,4,76],[3,5,0],[4,5,14],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (2,6)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,91],[1,2,20],[1,4,22],[1,5,35],[2,4,79],[2,6,61],[3,4,76],[3,5,0],[4,5,14],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (4,5)=14, w=14\",\"Add (1,2)=20, w=34\",\"Add (1,4)=22, w=56\",\"Add (0,3)=51, w=107\",\"Add (2,6)=61, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,91],[1,2,20],[1,4,22],[1,5,35],[2,4,79],[2,6,61],[3,4,76],[3,5,0],[4,5,14],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (4,5)=14 Succeeded, w=14\",\"Add (1,2)=20 Succeeded, w=34\",\"Add (1,4)=22 Succeeded, w=56\",\"Add (1,5)=35 Failed, w=56\",\"Add (0,3)=51 Succeeded, w=107\",\"Add (2,6)=61 Succeeded, w=168\",\"Add (3,4)=76 Failed, w=168\",\"Add (2,4)=79 Failed, w=168\",\"Add (0,4)=91 Failed, w=168\",\"Add (5,6)=96 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,91],[1,2,20],[1,4,22],[1,5,35],[2,4,79],[2,6,61],[3,4,76],[3,5,0],[4,5,14],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(4,5)=14,(1,2)=20,(1,4)=22,(1,5)=35,(0,3)=51,(2,6)=61,(3,4)=76,(2,4)=79,(0,4)=91,(5,6)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=3, Add (4,5)=14 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=34\",\"Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=56\",\"Find(1)=1, Find(5)=1, Add (1,5)=35 Failed, w=56\",\"Find(0)=0, Find(3)=1, Add (0,3)=51 Succeeded, w=107\",\"Find(2)=1, Find(6)=6, Add (2,6)=61 Succeeded, w=168\",\"Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=168\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=168\",\"Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=168\",\"Find(5)=1, Find(6)=1, Add (5,6)=96 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,91],[1,2,20],[1,4,22],[1,5,35],[2,4,79],[2,6,61],[3,4,76],[3,5,0],[4,5,14],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(4,5)=14,(1,2)=20,(1,4)=22,(1,5)=35,(0,3)=51,(2,6)=61,(3,4)=76,(2,4)=79,(0,4)=91,(5,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=4, Find(5)=3, Add (4,5)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6}, Find(1)=1, Find(5)=1, Add (1,5)=35 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6}, Find(0)=0, Find(3)=1, Add (0,3)=51 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=61 Succeeded, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=96 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,3,53],[0,4,55],[0,5,27],[1,2,6],[1,3,33],[1,4,66],[1,5,20],[2,3,79],[2,4,76],[2,5,99],[3,4,93],[3,5,87],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,3,53],[0,4,55],[0,5,27],[1,2,6],[1,3,33],[1,4,66],[1,5,20],[2,3,79],[2,4,76],[2,5,99],[3,4,93],[3,5,87],[5,6,19]]}",
"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],\"edges\":[[0,1,95],[0,3,53],[0,4,55],[0,5,27],[1,2,6],[1,3,33],[1,4,66],[1,5,20],[2,3,79],[2,4,76],[2,5,99],[3,4,93],[3,5,87],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (5,6)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,3,53],[0,4,55],[0,5,27],[1,2,6],[1,3,33],[1,4,66],[1,5,20],[2,3,79],[2,4,76],[2,5,99],[3,4,93],[3,5,87],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (5,6)=19, w=25\",\"Add (1,5)=20, w=45\",\"Add (0,5)=27, w=72\",\"Add (1,3)=33, w=105\",\"Add (0,4)=55, 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],\"edges\":[[0,1,95],[0,3,53],[0,4,55],[0,5,27],[1,2,6],[1,3,33],[1,4,66],[1,5,20],[2,3,79],[2,4,76],[2,5,99],[3,4,93],[3,5,87],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (5,6)=19 Succeeded, w=25\",\"Add (1,5)=20 Succeeded, w=45\",\"Add (0,5)=27 Succeeded, w=72\",\"Add (1,3)=33 Succeeded, w=105\",\"Add (0,3)=53 Failed, w=105\",\"Add (0,4)=55 Succeeded, w=160\",\"Add (1,4)=66 Failed, w=160\",\"Add (2,4)=76 Failed, w=160\",\"Add (2,3)=79 Failed, w=160\",\"Add (3,5)=87 Failed, w=160\",\"Add (3,4)=93 Failed, w=160\",\"Add (0,1)=95 Failed, w=160\",\"Add (2,5)=99 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],\"edges\":[[0,1,95],[0,3,53],[0,4,55],[0,5,27],[1,2,6],[1,3,33],[1,4,66],[1,5,20],[2,3,79],[2,4,76],[2,5,99],[3,4,93],[3,5,87],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(5,6)=19,(1,5)=20,(0,5)=27,(1,3)=33,(0,3)=53,(0,4)=55,(1,4)=66,(2,4)=76,(2,3)=79,(3,5)=87,(3,4)=93,(0,1)=95,(2,5)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=25\",\"Find(1)=1, Find(5)=5, Add (1,5)=20 Succeeded, w=45\",\"Find(0)=0, Find(5)=1, Add (0,5)=27 Succeeded, w=72\",\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=105\",\"Find(0)=1, Find(3)=1, Add (0,3)=53 Failed, w=105\",\"Find(0)=1, Find(4)=4, Add (0,4)=55 Succeeded, w=160\",\"Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=160\",\"Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=160\",\"Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=160\",\"Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=160\",\"Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=160\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=160\",\"Find(2)=1, Find(5)=1, Add (2,5)=99 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],\"edges\":[[0,1,95],[0,3,53],[0,4,55],[0,5,27],[1,2,6],[1,3,33],[1,4,66],[1,5,20],[2,3,79],[2,4,76],[2,5,99],[3,4,93],[3,5,87],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(5,6)=19,(1,5)=20,(0,5)=27,(1,3)=33,(0,3)=53,(0,4)=55,(1,4)=66,(2,4)=76,(2,3)=79,(3,5)=87,(3,4)=93,(0,1)=95,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=20 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 5}, Find(0)=0, Find(5)=1, Add (0,5)=27 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 5}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 5}, Find(0)=1, Find(3)=1, Add (0,3)=53 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(0)=1, Find(4)=4, Add (0,4)=55 Succeeded, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,31],[0,3,38],[0,4,100],[0,5,62],[0,6,66],[0,7,19],[1,2,84],[1,3,12],[1,4,58],[1,5,27],[1,6,95],[2,3,23],[2,5,63],[2,6,93],[2,7,25],[3,5,66],[3,6,80],[3,7,4],[4,5,1],[4,7,76],[5,6,0],[5,7,16],[6,7,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,38],[0,4,100],[0,5,62],[0,6,66],[0,7,19],[1,2,84],[1,3,12],[1,4,58],[1,5,27],[1,6,95],[2,3,23],[2,5,63],[2,6,93],[2,7,25],[3,5,66],[3,6,80],[3,7,4],[4,5,1],[4,7,76],[5,6,0],[5,7,16],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,38],[0,4,100],[0,5,62],[0,6,66],[0,7,19],[1,2,84],[1,3,12],[1,4,58],[1,5,27],[1,6,95],[2,3,23],[2,5,63],[2,6,93],[2,7,25],[3,5,66],[3,6,80],[3,7,4],[4,5,1],[4,7,76],[5,6,0],[5,7,16],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (4,5)\",\"Add (3,7)\",\"Add (1,3)\",\"Add (5,7)\",\"Add (0,7)\",\"Add (2,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,38],[0,4,100],[0,5,62],[0,6,66],[0,7,19],[1,2,84],[1,3,12],[1,4,58],[1,5,27],[1,6,95],[2,3,23],[2,5,63],[2,6,93],[2,7,25],[3,5,66],[3,6,80],[3,7,4],[4,5,1],[4,7,76],[5,6,0],[5,7,16],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (4,5)=1, w=1\",\"Add (3,7)=4, w=5\",\"Add (1,3)=12, w=17\",\"Add (5,7)=16, w=33\",\"Add (0,7)=19, w=52\",\"Add (2,3)=23, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,38],[0,4,100],[0,5,62],[0,6,66],[0,7,19],[1,2,84],[1,3,12],[1,4,58],[1,5,27],[1,6,95],[2,3,23],[2,5,63],[2,6,93],[2,7,25],[3,5,66],[3,6,80],[3,7,4],[4,5,1],[4,7,76],[5,6,0],[5,7,16],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (4,5)=1 Succeeded, w=1\",\"Add (3,7)=4 Succeeded, w=5\",\"Add (1,3)=12 Succeeded, w=17\",\"Add (5,7)=16 Succeeded, w=33\",\"Add (0,7)=19 Succeeded, w=52\",\"Add (2,3)=23 Succeeded, w=75\",\"Add (2,7)=25 Failed, w=75\",\"Add (1,5)=27 Failed, w=75\",\"Add (0,1)=31 Failed, w=75\",\"Add (0,3)=38 Failed, w=75\",\"Add (1,4)=58 Failed, w=75\",\"Add (0,5)=62 Failed, w=75\",\"Add (2,5)=63 Failed, w=75\",\"Add (6,7)=65 Failed, w=75\",\"Add (0,6)=66 Failed, w=75\",\"Add (3,5)=66 Failed, w=75\",\"Add (4,7)=76 Failed, w=75\",\"Add (3,6)=80 Failed, w=75\",\"Add (1,2)=84 Failed, w=75\",\"Add (2,6)=93 Failed, w=75\",\"Add (1,6)=95 Failed, w=75\",\"Add (0,4)=100 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,38],[0,4,100],[0,5,62],[0,6,66],[0,7,19],[1,2,84],[1,3,12],[1,4,58],[1,5,27],[1,6,95],[2,3,23],[2,5,63],[2,6,93],[2,7,25],[3,5,66],[3,6,80],[3,7,4],[4,5,1],[4,7,76],[5,6,0],[5,7,16],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(4,5)=1,(3,7)=4,(1,3)=12,(5,7)=16,(0,7)=19,(2,3)=23,(2,7)=25,(1,5)=27,(0,1)=31,(0,3)=38,(1,4)=58,(0,5)=62,(2,5)=63,(6,7)=65,(0,6)=66,(3,5)=66,(4,7)=76,(3,6)=80,(1,2)=84,(2,6)=93,(1,6)=95,(0,4)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=17\",\"Find(5)=5, Find(7)=3, Add (5,7)=16 Succeeded, w=33\",\"Find(0)=0, Find(7)=5, Add (0,7)=19 Succeeded, w=52\",\"Find(2)=2, Find(3)=5, Add (2,3)=23 Succeeded, w=75\",\"Find(2)=5, Find(7)=5, Add (2,7)=25 Failed, w=75\",\"Find(1)=5, Find(5)=5, Add (1,5)=27 Failed, w=75\",\"Find(0)=5, Find(1)=5, Add (0,1)=31 Failed, w=75\",\"Find(0)=5, Find(3)=5, Add (0,3)=38 Failed, w=75\",\"Find(1)=5, Find(4)=5, Add (1,4)=58 Failed, w=75\",\"Find(0)=5, Find(5)=5, Add (0,5)=62 Failed, w=75\",\"Find(2)=5, Find(5)=5, Add (2,5)=63 Failed, w=75\",\"Find(6)=5, Find(7)=5, Add (6,7)=65 Failed, w=75\",\"Find(0)=5, Find(6)=5, Add (0,6)=66 Failed, w=75\",\"Find(3)=5, Find(5)=5, Add (3,5)=66 Failed, w=75\",\"Find(4)=5, Find(7)=5, Add (4,7)=76 Failed, w=75\",\"Find(3)=5, Find(6)=5, Add (3,6)=80 Failed, w=75\",\"Find(1)=5, Find(2)=5, Add (1,2)=84 Failed, w=75\",\"Find(2)=5, Find(6)=5, Add (2,6)=93 Failed, w=75\",\"Find(1)=5, Find(6)=5, Add (1,6)=95 Failed, w=75\",\"Find(0)=5, Find(4)=5, Add (0,4)=100 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,38],[0,4,100],[0,5,62],[0,6,66],[0,7,19],[1,2,84],[1,3,12],[1,4,58],[1,5,27],[1,6,95],[2,3,23],[2,5,63],[2,6,93],[2,7,25],[3,5,66],[3,6,80],[3,7,4],[4,5,1],[4,7,76],[5,6,0],[5,7,16],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(4,5)=1,(3,7)=4,(1,3)=12,(5,7)=16,(0,7)=19,(2,3)=23,(2,7)=25,(1,5)=27,(0,1)=31,(0,3)=38,(1,4)=58,(0,5)=62,(2,5)=63,(6,7)=65,(0,6)=66,(3,5)=66,(4,7)=76,(3,6)=80,(1,2)=84,(2,6)=93,(1,6)=95,(0,4)=100]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=16 Succeeded, w=33\",\"Parent: {0: 5, 1: 3, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=19 Succeeded, w=52\",\"Parent: {0: 5, 1: 3, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=2, Find(3)=5, Add (2,3)=23 Succeeded, w=75\",\"Parent: {0: 5, 1: 3, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=25 Failed, w=75\",\"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)=27 Failed, w=75\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=31 Failed, w=75\",\"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)=38 Failed, w=75\",\"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)=58 Failed, w=75\",\"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)=62 Failed, w=75\",\"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)=63 Failed, w=75\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=65 Failed, w=75\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=66 Failed, w=75\",\"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)=66 Failed, w=75\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=76 Failed, w=75\",\"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)=80 Failed, w=75\",\"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)=84 Failed, w=75\",\"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)=93 Failed, w=75\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=95 Failed, w=75\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=100 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,2,85],[0,3,37],[0,5,24],[1,2,42],[1,5,36],[2,4,69],[2,5,88],[3,4,13],[3,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,85],[0,3,37],[0,5,24],[1,2,42],[1,5,36],[2,4,69],[2,5,88],[3,4,13],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,85],[0,3,37],[0,5,24],[1,2,42],[1,5,36],[2,4,69],[2,5,88],[3,4,13],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,85],[0,3,37],[0,5,24],[1,2,42],[1,5,36],[2,4,69],[2,5,88],[3,4,13],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=13, w=13\",\"Add (0,5)=24, w=37\",\"Add (1,5)=36, w=73\",\"Add (0,3)=37, w=110\",\"Add (1,2)=42, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,85],[0,3,37],[0,5,24],[1,2,42],[1,5,36],[2,4,69],[2,5,88],[3,4,13],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=13 Succeeded, w=13\",\"Add (0,5)=24 Succeeded, w=37\",\"Add (1,5)=36 Succeeded, w=73\",\"Add (0,3)=37 Succeeded, w=110\",\"Add (1,2)=42 Succeeded, w=152\",\"Add (3,5)=45 Failed, w=152\",\"Add (0,1)=68 Failed, w=152\",\"Add (2,4)=69 Failed, w=152\",\"Add (0,2)=85 Failed, w=152\",\"Add (2,5)=88 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,85],[0,3,37],[0,5,24],[1,2,42],[1,5,36],[2,4,69],[2,5,88],[3,4,13],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=13,(0,5)=24,(1,5)=36,(0,3)=37,(1,2)=42,(3,5)=45,(0,1)=68,(2,4)=69,(0,2)=85,(2,5)=88]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=13\",\"Find(0)=0, Find(5)=5, Add (0,5)=24 Succeeded, w=37\",\"Find(1)=1, Find(5)=0, Add (1,5)=36 Succeeded, w=73\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=110\",\"Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=152\",\"Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=152\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=152\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=152\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=152\",\"Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,85],[0,3,37],[0,5,24],[1,2,42],[1,5,36],[2,4,69],[2,5,88],[3,4,13],[3,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=13,(0,5)=24,(1,5)=36,(0,3)=37,(1,2)=42,(3,5)=45,(0,1)=68,(2,4)=69,(0,2)=85,(2,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=24 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=36 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,33],[0,2,3],[0,4,54],[0,5,70],[0,6,39],[1,3,73],[1,4,52],[1,5,35],[2,3,70],[2,4,80],[2,6,17],[3,4,60],[3,5,98],[3,6,92],[4,6,18],[5,6,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,3],[0,4,54],[0,5,70],[0,6,39],[1,3,73],[1,4,52],[1,5,35],[2,3,70],[2,4,80],[2,6,17],[3,4,60],[3,5,98],[3,6,92],[4,6,18],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,3],[0,4,54],[0,5,70],[0,6,39],[1,3,73],[1,4,52],[1,5,35],[2,3,70],[2,4,80],[2,6,17],[3,4,60],[3,5,98],[3,6,92],[4,6,18],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (3,4)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,3],[0,4,54],[0,5,70],[0,6,39],[1,3,73],[1,4,52],[1,5,35],[2,3,70],[2,4,80],[2,6,17],[3,4,60],[3,5,98],[3,6,92],[4,6,18],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (2,6)=17, w=20\",\"Add (4,6)=18, w=38\",\"Add (0,1)=33, w=71\",\"Add (1,5)=35, w=106\",\"Add (3,4)=60, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,3],[0,4,54],[0,5,70],[0,6,39],[1,3,73],[1,4,52],[1,5,35],[2,3,70],[2,4,80],[2,6,17],[3,4,60],[3,5,98],[3,6,92],[4,6,18],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (2,6)=17 Succeeded, w=20\",\"Add (4,6)=18 Succeeded, w=38\",\"Add (0,1)=33 Succeeded, w=71\",\"Add (1,5)=35 Succeeded, w=106\",\"Add (0,6)=39 Failed, w=106\",\"Add (5,6)=42 Failed, w=106\",\"Add (1,4)=52 Failed, w=106\",\"Add (0,4)=54 Failed, w=106\",\"Add (3,4)=60 Succeeded, w=166\",\"Add (0,5)=70 Failed, w=166\",\"Add (2,3)=70 Failed, w=166\",\"Add (1,3)=73 Failed, w=166\",\"Add (2,4)=80 Failed, w=166\",\"Add (3,6)=92 Failed, w=166\",\"Add (3,5)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,3],[0,4,54],[0,5,70],[0,6,39],[1,3,73],[1,4,52],[1,5,35],[2,3,70],[2,4,80],[2,6,17],[3,4,60],[3,5,98],[3,6,92],[4,6,18],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,6)=17,(4,6)=18,(0,1)=33,(1,5)=35,(0,6)=39,(5,6)=42,(1,4)=52,(0,4)=54,(3,4)=60,(0,5)=70,(2,3)=70,(1,3)=73,(2,4)=80,(3,6)=92,(3,5)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(2)=0, Find(6)=6, Add (2,6)=17 Succeeded, w=20\",\"Find(4)=4, Find(6)=0, Add (4,6)=18 Succeeded, w=38\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=71\",\"Find(1)=0, Find(5)=5, Add (1,5)=35 Succeeded, w=106\",\"Find(0)=0, Find(6)=0, Add (0,6)=39 Failed, w=106\",\"Find(5)=0, Find(6)=0, Add (5,6)=42 Failed, w=106\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=106\",\"Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=106\",\"Find(3)=3, Find(4)=0, Add (3,4)=60 Succeeded, w=166\",\"Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=166\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=166\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=166\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=166\",\"Find(3)=0, Find(6)=0, Add (3,6)=92 Failed, w=166\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,3],[0,4,54],[0,5,70],[0,6,39],[1,3,73],[1,4,52],[1,5,35],[2,3,70],[2,4,80],[2,6,17],[3,4,60],[3,5,98],[3,6,92],[4,6,18],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,6)=17,(4,6)=18,(0,1)=33,(1,5)=35,(0,6)=39,(5,6)=42,(1,4)=52,(0,4)=54,(3,4)=60,(0,5)=70,(2,3)=70,(1,3)=73,(2,4)=80,(3,6)=92,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=18 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=5, Add (1,5)=35 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=39 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=42 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=60 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=92 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,100],[0,2,51],[0,3,80],[0,4,60],[1,2,11],[1,3,99],[1,5,2],[1,6,41],[2,3,92],[2,4,3],[2,5,20],[2,6,47],[3,4,38],[3,6,99],[5,6,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,51],[0,3,80],[0,4,60],[1,2,11],[1,3,99],[1,5,2],[1,6,41],[2,3,92],[2,4,3],[2,5,20],[2,6,47],[3,4,38],[3,6,99],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,51],[0,3,80],[0,4,60],[1,2,11],[1,3,99],[1,5,2],[1,6,41],[2,3,92],[2,4,3],[2,5,20],[2,6,47],[3,4,38],[3,6,99],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (0,2)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,51],[0,3,80],[0,4,60],[1,2,11],[1,3,99],[1,5,2],[1,6,41],[2,3,92],[2,4,3],[2,5,20],[2,6,47],[3,4,38],[3,6,99],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2, w=2\",\"Add (2,4)=3, w=5\",\"Add (1,2)=11, w=16\",\"Add (3,4)=38, w=54\",\"Add (1,6)=41, w=95\",\"Add (0,2)=51, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,51],[0,3,80],[0,4,60],[1,2,11],[1,3,99],[1,5,2],[1,6,41],[2,3,92],[2,4,3],[2,5,20],[2,6,47],[3,4,38],[3,6,99],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2 Succeeded, w=2\",\"Add (2,4)=3 Succeeded, w=5\",\"Add (1,2)=11 Succeeded, w=16\",\"Add (2,5)=20 Failed, w=16\",\"Add (3,4)=38 Succeeded, w=54\",\"Add (1,6)=41 Succeeded, w=95\",\"Add (2,6)=47 Failed, w=95\",\"Add (0,2)=51 Succeeded, w=146\",\"Add (0,4)=60 Failed, w=146\",\"Add (5,6)=64 Failed, w=146\",\"Add (0,3)=80 Failed, w=146\",\"Add (2,3)=92 Failed, w=146\",\"Add (1,3)=99 Failed, w=146\",\"Add (3,6)=99 Failed, w=146\",\"Add (0,1)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,51],[0,3,80],[0,4,60],[1,2,11],[1,3,99],[1,5,2],[1,6,41],[2,3,92],[2,4,3],[2,5,20],[2,6,47],[3,4,38],[3,6,99],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(2,4)=3,(1,2)=11,(2,5)=20,(3,4)=38,(1,6)=41,(2,6)=47,(0,2)=51,(0,4)=60,(5,6)=64,(0,3)=80,(2,3)=92,(1,3)=99,(3,6)=99,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=16\",\"Find(2)=1, Find(5)=1, Add (2,5)=20 Failed, w=16\",\"Find(3)=3, Find(4)=1, Add (3,4)=38 Succeeded, w=54\",\"Find(1)=1, Find(6)=6, Add (1,6)=41 Succeeded, w=95\",\"Find(2)=1, Find(6)=1, Add (2,6)=47 Failed, w=95\",\"Find(0)=0, Find(2)=1, Add (0,2)=51 Succeeded, w=146\",\"Find(0)=1, Find(4)=1, Add (0,4)=60 Failed, w=146\",\"Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=146\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=146\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=146\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=146\",\"Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=146\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,51],[0,3,80],[0,4,60],[1,2,11],[1,3,99],[1,5,2],[1,6,41],[2,3,92],[2,4,3],[2,5,20],[2,6,47],[3,4,38],[3,6,99],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(2,4)=3,(1,2)=11,(2,5)=20,(3,4)=38,(1,6)=41,(2,6)=47,(0,2)=51,(0,4)=60,(5,6)=64,(0,3)=80,(2,3)=92,(1,3)=99,(3,6)=99,(0,1)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=20 Failed, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(3)=3, Find(4)=1, Add (3,4)=38 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=41 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=47 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=51 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=60 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,72],[0,3,82],[0,4,66],[1,2,75],[1,3,94],[1,4,38],[2,4,51],[2,5,59],[2,6,84],[2,7,75],[3,4,51],[3,6,89],[3,7,22],[4,5,1],[4,6,39],[4,7,58],[5,6,51],[6,7,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,72],[0,3,82],[0,4,66],[1,2,75],[1,3,94],[1,4,38],[2,4,51],[2,5,59],[2,6,84],[2,7,75],[3,4,51],[3,6,89],[3,7,22],[4,5,1],[4,6,39],[4,7,58],[5,6,51],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,72],[0,3,82],[0,4,66],[1,2,75],[1,3,94],[1,4,38],[2,4,51],[2,5,59],[2,6,84],[2,7,75],[3,4,51],[3,6,89],[3,7,22],[4,5,1],[4,6,39],[4,7,58],[5,6,51],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (3,7)\",\"Add (1,4)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,72],[0,3,82],[0,4,66],[1,2,75],[1,3,94],[1,4,38],[2,4,51],[2,5,59],[2,6,84],[2,7,75],[3,4,51],[3,6,89],[3,7,22],[4,5,1],[4,6,39],[4,7,58],[5,6,51],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (0,1)=17, w=18\",\"Add (3,7)=22, w=40\",\"Add (1,4)=38, w=78\",\"Add (4,6)=39, w=117\",\"Add (2,4)=51, w=168\",\"Add (3,4)=51, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,72],[0,3,82],[0,4,66],[1,2,75],[1,3,94],[1,4,38],[2,4,51],[2,5,59],[2,6,84],[2,7,75],[3,4,51],[3,6,89],[3,7,22],[4,5,1],[4,6,39],[4,7,58],[5,6,51],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (0,1)=17 Succeeded, w=18\",\"Add (3,7)=22 Succeeded, w=40\",\"Add (1,4)=38 Succeeded, w=78\",\"Add (4,6)=39 Succeeded, w=117\",\"Add (2,4)=51 Succeeded, w=168\",\"Add (3,4)=51 Succeeded, w=219\",\"Add (5,6)=51 Failed, w=219\",\"Add (4,7)=58 Failed, w=219\",\"Add (2,5)=59 Failed, w=219\",\"Add (0,4)=66 Failed, w=219\",\"Add (6,7)=68 Failed, w=219\",\"Add (0,2)=72 Failed, w=219\",\"Add (1,2)=75 Failed, w=219\",\"Add (2,7)=75 Failed, w=219\",\"Add (0,3)=82 Failed, w=219\",\"Add (2,6)=84 Failed, w=219\",\"Add (3,6)=89 Failed, w=219\",\"Add (1,3)=94 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,72],[0,3,82],[0,4,66],[1,2,75],[1,3,94],[1,4,38],[2,4,51],[2,5,59],[2,6,84],[2,7,75],[3,4,51],[3,6,89],[3,7,22],[4,5,1],[4,6,39],[4,7,58],[5,6,51],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,1)=17,(3,7)=22,(1,4)=38,(4,6)=39,(2,4)=51,(3,4)=51,(5,6)=51,(4,7)=58,(2,5)=59,(0,4)=66,(6,7)=68,(0,2)=72,(1,2)=75,(2,7)=75,(0,3)=82,(2,6)=84,(3,6)=89,(1,3)=94]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=18\",\"Find(3)=3, Find(7)=7, Add (3,7)=22 Succeeded, w=40\",\"Find(1)=0, Find(4)=4, Add (1,4)=38 Succeeded, w=78\",\"Find(4)=0, Find(6)=6, Add (4,6)=39 Succeeded, w=117\",\"Find(2)=2, Find(4)=0, Add (2,4)=51 Succeeded, w=168\",\"Find(3)=3, Find(4)=0, Add (3,4)=51 Succeeded, w=219\",\"Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=219\",\"Find(4)=0, Find(7)=0, Add (4,7)=58 Failed, w=219\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=219\",\"Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=219\",\"Find(6)=0, Find(7)=0, Add (6,7)=68 Failed, w=219\",\"Find(0)=0, Find(2)=0, Add (0,2)=72 Failed, w=219\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=219\",\"Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=219\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=219\",\"Find(2)=0, Find(6)=0, Add (2,6)=84 Failed, w=219\",\"Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=219\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,72],[0,3,82],[0,4,66],[1,2,75],[1,3,94],[1,4,38],[2,4,51],[2,5,59],[2,6,84],[2,7,75],[3,4,51],[3,6,89],[3,7,22],[4,5,1],[4,6,39],[4,7,58],[5,6,51],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,1)=17,(3,7)=22,(1,4)=38,(4,6)=39,(2,4)=51,(3,4)=51,(5,6)=51,(4,7)=58,(2,5)=59,(0,4)=66,(6,7)=68,(0,2)=72,(1,2)=75,(2,7)=75,(0,3)=82,(2,6)=84,(3,6)=89,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 6, 7: 3}, Find(1)=0, Find(4)=4, Add (1,4)=38 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 3}, Find(4)=0, Find(6)=6, Add (4,6)=39 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 0, 7: 3}, Find(2)=2, Find(4)=0, Add (2,4)=51 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 3}, Find(3)=3, Find(4)=0, Add (3,4)=51 Succeeded, w=219\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=219\",\"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)=58 Failed, w=219\",\"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=219\",\"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)=66 Failed, w=219\",\"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)=68 Failed, w=219\",\"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)=72 Failed, w=219\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=219\",\"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=219\",\"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)=82 Failed, w=219\",\"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)=84 Failed, w=219\",\"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)=89 Failed, w=219\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,80],[2,3,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,80],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,80],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,80],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=27, w=27\",\"Add (1,2)=80, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,80],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=27 Succeeded, w=27\",\"Add (1,2)=80 Succeeded, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,80],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=27,(1,2)=80]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=80 Succeeded, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,80],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=27,(1,2)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=80 Succeeded, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,3,71],[0,6,84],[1,3,55],[2,6,42],[3,4,86],[5,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,3,71],[0,6,84],[1,3,55],[2,6,42],[3,4,86],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,3,71],[0,6,84],[1,3,55],[2,6,42],[3,4,86],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (5,6)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (3,4)\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,3,71],[0,6,84],[1,3,55],[2,6,42],[3,4,86],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=21, w=21\",\"Add (5,6)=36, w=57\",\"Add (2,6)=42, w=99\",\"Add (1,3)=55, w=154\",\"Add (0,6)=84, w=238\",\"Add (3,4)=86, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,3,71],[0,6,84],[1,3,55],[2,6,42],[3,4,86],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=21 Succeeded, w=21\",\"Add (5,6)=36 Succeeded, w=57\",\"Add (2,6)=42 Succeeded, w=99\",\"Add (1,3)=55 Succeeded, w=154\",\"Add (0,3)=71 Failed, w=154\",\"Add (0,6)=84 Succeeded, w=238\",\"Add (3,4)=86 Succeeded, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,3,71],[0,6,84],[1,3,55],[2,6,42],[3,4,86],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=21,(5,6)=36,(2,6)=42,(1,3)=55,(0,3)=71,(0,6)=84,(3,4)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=21\",\"Find(5)=5, Find(6)=6, Add (5,6)=36 Succeeded, w=57\",\"Find(2)=2, Find(6)=5, Add (2,6)=42 Succeeded, w=99\",\"Find(1)=0, Find(3)=3, Add (1,3)=55 Succeeded, w=154\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=154\",\"Find(0)=0, Find(6)=5, Add (0,6)=84 Succeeded, w=238\",\"Find(3)=0, Find(4)=4, Add (3,4)=86 Succeeded, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,3,71],[0,6,84],[1,3,55],[2,6,42],[3,4,86],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=21,(5,6)=36,(2,6)=42,(1,3)=55,(0,3)=71,(0,6)=84,(3,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=36 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=42 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5}, Find(1)=0, Find(3)=3, Add (1,3)=55 Succeeded, w=154\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 4, 5: 0, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=84 Succeeded, w=238\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(4)=4, Add (3,4)=86 Succeeded, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,18],[0,2,44],[0,3,26],[0,4,57],[0,5,64],[1,2,50],[1,3,13],[1,4,58],[1,5,76],[2,3,89],[2,5,35],[4,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,44],[0,3,26],[0,4,57],[0,5,64],[1,2,50],[1,3,13],[1,4,58],[1,5,76],[2,3,89],[2,5,35],[4,5,45]]}",
"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],\"edges\":[[0,1,18],[0,2,44],[0,3,26],[0,4,57],[0,5,64],[1,2,50],[1,3,13],[1,4,58],[1,5,76],[2,3,89],[2,5,35],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (4,5)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,44],[0,3,26],[0,4,57],[0,5,64],[1,2,50],[1,3,13],[1,4,58],[1,5,76],[2,3,89],[2,5,35],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13, w=13\",\"Add (0,1)=18, w=31\",\"Add (2,5)=35, w=66\",\"Add (0,2)=44, w=110\",\"Add (4,5)=45, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,44],[0,3,26],[0,4,57],[0,5,64],[1,2,50],[1,3,13],[1,4,58],[1,5,76],[2,3,89],[2,5,35],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13 Succeeded, w=13\",\"Add (0,1)=18 Succeeded, w=31\",\"Add (0,3)=26 Failed, w=31\",\"Add (2,5)=35 Succeeded, w=66\",\"Add (0,2)=44 Succeeded, w=110\",\"Add (4,5)=45 Succeeded, w=155\",\"Add (1,2)=50 Failed, w=155\",\"Add (0,4)=57 Failed, w=155\",\"Add (1,4)=58 Failed, w=155\",\"Add (0,5)=64 Failed, w=155\",\"Add (1,5)=76 Failed, w=155\",\"Add (2,3)=89 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],\"edges\":[[0,1,18],[0,2,44],[0,3,26],[0,4,57],[0,5,64],[1,2,50],[1,3,13],[1,4,58],[1,5,76],[2,3,89],[2,5,35],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(0,1)=18,(0,3)=26,(2,5)=35,(0,2)=44,(4,5)=45,(1,2)=50,(0,4)=57,(1,4)=58,(0,5)=64,(1,5)=76,(2,3)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=31\",\"Find(0)=1, Find(3)=1, Add (0,3)=26 Failed, w=31\",\"Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=66\",\"Find(0)=1, Find(2)=2, Add (0,2)=44 Succeeded, w=110\",\"Find(4)=4, Find(5)=1, Add (4,5)=45 Succeeded, w=155\",\"Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=155\",\"Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=155\",\"Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=155\",\"Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=155\",\"Find(1)=1, Find(5)=1, Add (1,5)=76 Failed, w=155\",\"Find(2)=1, Find(3)=1, Add (2,3)=89 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],\"edges\":[[0,1,18],[0,2,44],[0,3,26],[0,4,57],[0,5,64],[1,2,50],[1,3,13],[1,4,58],[1,5,76],[2,3,89],[2,5,35],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(0,1)=18,(0,3)=26,(2,5)=35,(0,2)=44,(4,5)=45,(1,2)=50,(0,4)=57,(1,4)=58,(0,5)=64,(1,5)=76,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=1, Find(3)=1, Add (0,3)=26 Failed, w=31\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2}, Find(0)=1, Find(2)=2, Add (0,2)=44 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=45 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=76 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,88],[0,2,43],[0,4,60],[0,5,70],[0,6,10],[1,2,38],[2,3,80],[2,4,79],[2,5,61],[2,6,10],[3,4,92],[3,6,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,43],[0,4,60],[0,5,70],[0,6,10],[1,2,38],[2,3,80],[2,4,79],[2,5,61],[2,6,10],[3,4,92],[3,6,39]]}",
"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\":[[0,1,88],[0,2,43],[0,4,60],[0,5,70],[0,6,10],[1,2,38],[2,3,80],[2,4,79],[2,5,61],[2,6,10],[3,4,92],[3,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,43],[0,4,60],[0,5,70],[0,6,10],[1,2,38],[2,3,80],[2,4,79],[2,5,61],[2,6,10],[3,4,92],[3,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=10, w=10\",\"Add (2,6)=10, w=20\",\"Add (1,2)=38, w=58\",\"Add (3,6)=39, w=97\",\"Add (0,4)=60, w=157\",\"Add (2,5)=61, 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\":[[0,1,88],[0,2,43],[0,4,60],[0,5,70],[0,6,10],[1,2,38],[2,3,80],[2,4,79],[2,5,61],[2,6,10],[3,4,92],[3,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=10 Succeeded, w=10\",\"Add (2,6)=10 Succeeded, w=20\",\"Add (1,2)=38 Succeeded, w=58\",\"Add (3,6)=39 Succeeded, w=97\",\"Add (0,2)=43 Failed, w=97\",\"Add (0,4)=60 Succeeded, w=157\",\"Add (2,5)=61 Succeeded, w=218\",\"Add (0,5)=70 Failed, w=218\",\"Add (2,4)=79 Failed, w=218\",\"Add (2,3)=80 Failed, w=218\",\"Add (0,1)=88 Failed, w=218\",\"Add (3,4)=92 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\":[[0,1,88],[0,2,43],[0,4,60],[0,5,70],[0,6,10],[1,2,38],[2,3,80],[2,4,79],[2,5,61],[2,6,10],[3,4,92],[3,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=10,(2,6)=10,(1,2)=38,(3,6)=39,(0,2)=43,(0,4)=60,(2,5)=61,(0,5)=70,(2,4)=79,(2,3)=80,(0,1)=88,(3,4)=92]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=10\",\"Find(2)=2, Find(6)=0, Add (2,6)=10 Succeeded, w=20\",\"Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=58\",\"Find(3)=3, Find(6)=0, Add (3,6)=39 Succeeded, w=97\",\"Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=97\",\"Find(0)=0, Find(4)=4, Add (0,4)=60 Succeeded, w=157\",\"Find(2)=0, Find(5)=5, Add (2,5)=61 Succeeded, w=218\",\"Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=218\",\"Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=218\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=218\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=218\",\"Find(3)=0, Find(4)=0, Add (3,4)=92 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\":[[0,1,88],[0,2,43],[0,4,60],[0,5,70],[0,6,10],[1,2,38],[2,3,80],[2,4,79],[2,5,61],[2,6,10],[3,4,92],[3,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=10,(2,6)=10,(1,2)=38,(3,6)=39,(0,2)=43,(0,4)=60,(2,5)=61,(0,5)=70,(2,4)=79,(2,3)=80,(0,1)=88,(3,4)=92]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=39 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=60 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=61 Succeeded, w=218\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=218\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=218\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=218\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=218\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,80],[0,3,12],[1,3,44],[1,4,78],[2,4,91],[3,4,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,80],[0,3,12],[1,3,44],[1,4,78],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,80],[0,3,12],[1,3,44],[1,4,78],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,80],[0,3,12],[1,3,44],[1,4,78],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12, w=12\",\"Add (3,4)=20, w=32\",\"Add (0,1)=39, w=71\",\"Add (0,2)=80, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,80],[0,3,12],[1,3,44],[1,4,78],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12 Succeeded, w=12\",\"Add (3,4)=20 Succeeded, w=32\",\"Add (0,1)=39 Succeeded, w=71\",\"Add (1,3)=44 Failed, w=71\",\"Add (1,4)=78 Failed, w=71\",\"Add (0,2)=80 Succeeded, w=151\",\"Add (2,4)=91 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,80],[0,3,12],[1,3,44],[1,4,78],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(3,4)=20,(0,1)=39,(1,3)=44,(1,4)=78,(0,2)=80,(2,4)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Find(3)=0, Find(4)=4, Add (3,4)=20 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=71\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=71\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=71\",\"Find(0)=0, Find(2)=2, Add (0,2)=80 Succeeded, w=151\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,80],[0,3,12],[1,3,44],[1,4,78],[2,4,91],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(3,4)=20,(0,1)=39,(1,3)=44,(1,4)=78,(0,2)=80,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=20 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=80 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,12],[0,3,35],[0,4,72],[1,2,99],[1,3,69],[1,4,64],[2,3,82],[2,4,45],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,12],[0,3,35],[0,4,72],[1,2,99],[1,3,69],[1,4,64],[2,3,82],[2,4,45],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,12],[0,3,35],[0,4,72],[1,2,99],[1,3,69],[1,4,64],[2,3,82],[2,4,45],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,12],[0,3,35],[0,4,72],[1,2,99],[1,3,69],[1,4,64],[2,3,82],[2,4,45],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (3,4)=27, w=39\",\"Add (0,3)=35, w=74\",\"Add (1,4)=64, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,12],[0,3,35],[0,4,72],[1,2,99],[1,3,69],[1,4,64],[2,3,82],[2,4,45],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (3,4)=27 Succeeded, w=39\",\"Add (0,3)=35 Succeeded, w=74\",\"Add (2,4)=45 Failed, w=74\",\"Add (1,4)=64 Succeeded, w=138\",\"Add (1,3)=69 Failed, w=138\",\"Add (0,4)=72 Failed, w=138\",\"Add (2,3)=82 Failed, w=138\",\"Add (0,1)=89 Failed, w=138\",\"Add (1,2)=99 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,12],[0,3,35],[0,4,72],[1,2,99],[1,3,69],[1,4,64],[2,3,82],[2,4,45],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(3,4)=27,(0,3)=35,(2,4)=45,(1,4)=64,(1,3)=69,(0,4)=72,(2,3)=82,(0,1)=89,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=39\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=74\",\"Find(1)=1, Find(4)=0, Add (1,4)=64 Succeeded, w=138\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=138\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=138\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=138\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=138\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,12],[0,3,35],[0,4,72],[1,2,99],[1,3,69],[1,4,64],[2,3,82],[2,4,45],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(3,4)=27,(0,3)=35,(2,4)=45,(1,4)=64,(1,3)=69,(0,4)=72,(2,3)=82,(0,1)=89,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=64 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,77],[0,3,96],[0,4,77],[0,5,30],[0,6,9],[1,2,85],[1,3,2],[1,4,6],[1,5,20],[2,4,2],[2,5,62],[2,6,91],[3,4,96],[3,5,19],[3,6,88],[4,5,77],[5,6,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,77],[0,3,96],[0,4,77],[0,5,30],[0,6,9],[1,2,85],[1,3,2],[1,4,6],[1,5,20],[2,4,2],[2,5,62],[2,6,91],[3,4,96],[3,5,19],[3,6,88],[4,5,77],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,77],[0,3,96],[0,4,77],[0,5,30],[0,6,9],[1,2,85],[1,3,2],[1,4,6],[1,5,20],[2,4,2],[2,5,62],[2,6,91],[3,4,96],[3,5,19],[3,6,88],[4,5,77],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (3,5)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,77],[0,3,96],[0,4,77],[0,5,30],[0,6,9],[1,2,85],[1,3,2],[1,4,6],[1,5,20],[2,4,2],[2,5,62],[2,6,91],[3,4,96],[3,5,19],[3,6,88],[4,5,77],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,4)=2, w=4\",\"Add (0,1)=5, w=9\",\"Add (1,4)=6, w=15\",\"Add (0,6)=9, w=24\",\"Add (3,5)=19, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,77],[0,3,96],[0,4,77],[0,5,30],[0,6,9],[1,2,85],[1,3,2],[1,4,6],[1,5,20],[2,4,2],[2,5,62],[2,6,91],[3,4,96],[3,5,19],[3,6,88],[4,5,77],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,4)=2 Succeeded, w=4\",\"Add (0,1)=5 Succeeded, w=9\",\"Add (1,4)=6 Succeeded, w=15\",\"Add (0,6)=9 Succeeded, w=24\",\"Add (3,5)=19 Succeeded, w=43\",\"Add (1,5)=20 Failed, w=43\",\"Add (0,5)=30 Failed, w=43\",\"Add (2,5)=62 Failed, w=43\",\"Add (0,2)=77 Failed, w=43\",\"Add (0,4)=77 Failed, w=43\",\"Add (4,5)=77 Failed, w=43\",\"Add (1,2)=85 Failed, w=43\",\"Add (3,6)=88 Failed, w=43\",\"Add (2,6)=91 Failed, w=43\",\"Add (5,6)=93 Failed, w=43\",\"Add (0,3)=96 Failed, w=43\",\"Add (3,4)=96 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,77],[0,3,96],[0,4,77],[0,5,30],[0,6,9],[1,2,85],[1,3,2],[1,4,6],[1,5,20],[2,4,2],[2,5,62],[2,6,91],[3,4,96],[3,5,19],[3,6,88],[4,5,77],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,4)=2,(0,1)=5,(1,4)=6,(0,6)=9,(3,5)=19,(1,5)=20,(0,5)=30,(2,5)=62,(0,2)=77,(0,4)=77,(4,5)=77,(1,2)=85,(3,6)=88,(2,6)=91,(5,6)=93,(0,3)=96,(3,4)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Find(1)=1, Find(4)=2, Add (1,4)=6 Succeeded, w=15\",\"Find(0)=1, Find(6)=6, Add (0,6)=9 Succeeded, w=24\",\"Find(3)=1, Find(5)=5, Add (3,5)=19 Succeeded, w=43\",\"Find(1)=1, Find(5)=1, Add (1,5)=20 Failed, w=43\",\"Find(0)=1, Find(5)=1, Add (0,5)=30 Failed, w=43\",\"Find(2)=1, Find(5)=1, Add (2,5)=62 Failed, w=43\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=43\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=43\",\"Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=43\",\"Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=43\",\"Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=43\",\"Find(2)=1, Find(6)=1, Add (2,6)=91 Failed, w=43\",\"Find(5)=1, Find(6)=1, Add (5,6)=93 Failed, w=43\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=43\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,77],[0,3,96],[0,4,77],[0,5,30],[0,6,9],[1,2,85],[1,3,2],[1,4,6],[1,5,20],[2,4,2],[2,5,62],[2,6,91],[3,4,96],[3,5,19],[3,6,88],[4,5,77],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,4)=2,(0,1)=5,(1,4)=6,(0,6)=9,(3,5)=19,(1,5)=20,(0,5)=30,(2,5)=62,(0,2)=77,(0,4)=77,(4,5)=77,(1,2)=85,(3,6)=88,(2,6)=91,(5,6)=93,(0,3)=96,(3,4)=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: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(4)=2, Add (1,4)=6 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 1}, Find(0)=1, Find(6)=6, Add (0,6)=9 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=19 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=20 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=30 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=62 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=91 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=93 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,39],[0,2,19],[0,3,40],[0,4,16],[0,5,48],[0,6,65],[0,7,98],[1,2,15],[1,3,83],[1,4,95],[1,5,66],[1,6,81],[1,7,63],[2,3,45],[2,4,24],[2,5,86],[2,6,2],[3,4,40],[3,5,22],[3,6,48],[3,7,59],[4,5,100],[4,6,75],[5,6,80],[5,7,85],[6,7,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,19],[0,3,40],[0,4,16],[0,5,48],[0,6,65],[0,7,98],[1,2,15],[1,3,83],[1,4,95],[1,5,66],[1,6,81],[1,7,63],[2,3,45],[2,4,24],[2,5,86],[2,6,2],[3,4,40],[3,5,22],[3,6,48],[3,7,59],[4,5,100],[4,6,75],[5,6,80],[5,7,85],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,19],[0,3,40],[0,4,16],[0,5,48],[0,6,65],[0,7,98],[1,2,15],[1,3,83],[1,4,95],[1,5,66],[1,6,81],[1,7,63],[2,3,45],[2,4,24],[2,5,86],[2,6,2],[3,4,40],[3,5,22],[3,6,48],[3,7,59],[4,5,100],[4,6,75],[5,6,80],[5,7,85],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (6,7)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (0,3)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,19],[0,3,40],[0,4,16],[0,5,48],[0,6,65],[0,7,98],[1,2,15],[1,3,83],[1,4,95],[1,5,66],[1,6,81],[1,7,63],[2,3,45],[2,4,24],[2,5,86],[2,6,2],[3,4,40],[3,5,22],[3,6,48],[3,7,59],[4,5,100],[4,6,75],[5,6,80],[5,7,85],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2, w=2\",\"Add (1,2)=15, w=17\",\"Add (0,4)=16, w=33\",\"Add (6,7)=16, w=49\",\"Add (0,2)=19, w=68\",\"Add (3,5)=22, w=90\",\"Add (0,3)=40, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,19],[0,3,40],[0,4,16],[0,5,48],[0,6,65],[0,7,98],[1,2,15],[1,3,83],[1,4,95],[1,5,66],[1,6,81],[1,7,63],[2,3,45],[2,4,24],[2,5,86],[2,6,2],[3,4,40],[3,5,22],[3,6,48],[3,7,59],[4,5,100],[4,6,75],[5,6,80],[5,7,85],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2 Succeeded, w=2\",\"Add (1,2)=15 Succeeded, w=17\",\"Add (0,4)=16 Succeeded, w=33\",\"Add (6,7)=16 Succeeded, w=49\",\"Add (0,2)=19 Succeeded, w=68\",\"Add (3,5)=22 Succeeded, w=90\",\"Add (2,4)=24 Failed, w=90\",\"Add (0,1)=39 Failed, w=90\",\"Add (0,3)=40 Succeeded, w=130\",\"Add (3,4)=40 Failed, w=130\",\"Add (2,3)=45 Failed, w=130\",\"Add (0,5)=48 Failed, w=130\",\"Add (3,6)=48 Failed, w=130\",\"Add (3,7)=59 Failed, w=130\",\"Add (1,7)=63 Failed, w=130\",\"Add (0,6)=65 Failed, w=130\",\"Add (1,5)=66 Failed, w=130\",\"Add (4,6)=75 Failed, w=130\",\"Add (5,6)=80 Failed, w=130\",\"Add (1,6)=81 Failed, w=130\",\"Add (1,3)=83 Failed, w=130\",\"Add (5,7)=85 Failed, w=130\",\"Add (2,5)=86 Failed, w=130\",\"Add (1,4)=95 Failed, w=130\",\"Add (0,7)=98 Failed, w=130\",\"Add (4,5)=100 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,19],[0,3,40],[0,4,16],[0,5,48],[0,6,65],[0,7,98],[1,2,15],[1,3,83],[1,4,95],[1,5,66],[1,6,81],[1,7,63],[2,3,45],[2,4,24],[2,5,86],[2,6,2],[3,4,40],[3,5,22],[3,6,48],[3,7,59],[4,5,100],[4,6,75],[5,6,80],[5,7,85],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(1,2)=15,(0,4)=16,(6,7)=16,(0,2)=19,(3,5)=22,(2,4)=24,(0,1)=39,(0,3)=40,(3,4)=40,(2,3)=45,(0,5)=48,(3,6)=48,(3,7)=59,(1,7)=63,(0,6)=65,(1,5)=66,(4,6)=75,(5,6)=80,(1,6)=81,(1,3)=83,(5,7)=85,(2,5)=86,(1,4)=95,(0,7)=98,(4,5)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=17\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=33\",\"Find(6)=2, Find(7)=7, Add (6,7)=16 Succeeded, w=49\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=68\",\"Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=90\",\"Find(2)=0, Find(4)=0, Add (2,4)=24 Failed, w=90\",\"Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=90\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=130\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=130\",\"Find(2)=0, Find(3)=0, Add (2,3)=45 Failed, w=130\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=130\",\"Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=130\",\"Find(3)=0, Find(7)=0, Add (3,7)=59 Failed, w=130\",\"Find(1)=0, Find(7)=0, Add (1,7)=63 Failed, w=130\",\"Find(0)=0, Find(6)=0, Add (0,6)=65 Failed, w=130\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=130\",\"Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=130\",\"Find(5)=0, Find(6)=0, Add (5,6)=80 Failed, w=130\",\"Find(1)=0, Find(6)=0, Add (1,6)=81 Failed, w=130\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=130\",\"Find(5)=0, Find(7)=0, Add (5,7)=85 Failed, w=130\",\"Find(2)=0, Find(5)=0, Add (2,5)=86 Failed, w=130\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=130\",\"Find(0)=0, Find(7)=0, Add (0,7)=98 Failed, w=130\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,19],[0,3,40],[0,4,16],[0,5,48],[0,6,65],[0,7,98],[1,2,15],[1,3,83],[1,4,95],[1,5,66],[1,6,81],[1,7,63],[2,3,45],[2,4,24],[2,5,86],[2,6,2],[3,4,40],[3,5,22],[3,6,48],[3,7,59],[4,5,100],[4,6,75],[5,6,80],[5,7,85],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(1,2)=15,(0,4)=16,(6,7)=16,(0,2)=19,(3,5)=22,(2,4)=24,(0,1)=39,(0,3)=40,(3,4)=40,(2,3)=45,(0,5)=48,(3,6)=48,(3,7)=59,(1,7)=63,(0,6)=65,(1,5)=66,(4,6)=75,(5,6)=80,(1,6)=81,(1,3)=83,(5,7)=85,(2,5)=86,(1,4)=95,(0,7)=98,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 2}, Find(6)=2, Find(7)=7, Add (6,7)=16 Succeeded, w=49\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 0, 5: 5, 6: 2, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=68\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 0, 5: 3, 6: 2, 7: 2}, Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=90\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 0, 5: 3, 6: 2, 7: 2}, Find(2)=0, Find(4)=0, Add (2,4)=24 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3, 6: 2, 7: 2}, Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 2, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 2, 7: 2}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 2, 7: 2}, Find(2)=0, Find(3)=0, Add (2,3)=45 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=130\",\"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)=59 Failed, w=130\",\"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=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=65 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=130\",\"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)=75 Failed, w=130\",\"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)=80 Failed, w=130\",\"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)=81 Failed, w=130\",\"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=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=85 Failed, w=130\",\"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)=86 Failed, w=130\",\"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)=95 Failed, w=130\",\"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)=98 Failed, w=130\",\"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=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,5],[0,2,46],[0,3,62],[0,4,17],[1,2,56],[1,3,49],[2,4,4],[3,4,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,46],[0,3,62],[0,4,17],[1,2,56],[1,3,49],[2,4,4],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,46],[0,3,62],[0,4,17],[1,2,56],[1,3,49],[2,4,4],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,46],[0,3,62],[0,4,17],[1,2,56],[1,3,49],[2,4,4],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (0,1)=5, w=9\",\"Add (0,4)=17, w=26\",\"Add (1,3)=49, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,46],[0,3,62],[0,4,17],[1,2,56],[1,3,49],[2,4,4],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (0,1)=5 Succeeded, w=9\",\"Add (0,4)=17 Succeeded, w=26\",\"Add (0,2)=46 Failed, w=26\",\"Add (1,3)=49 Succeeded, w=75\",\"Add (1,2)=56 Failed, w=75\",\"Add (0,3)=62 Failed, w=75\",\"Add (3,4)=67 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,46],[0,3,62],[0,4,17],[1,2,56],[1,3,49],[2,4,4],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,1)=5,(0,4)=17,(0,2)=46,(1,3)=49,(1,2)=56,(0,3)=62,(3,4)=67]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Find(0)=0, Find(4)=2, Add (0,4)=17 Succeeded, w=26\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=26\",\"Find(1)=0, Find(3)=3, Add (1,3)=49 Succeeded, w=75\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=75\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=75\",\"Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,46],[0,3,62],[0,4,17],[1,2,56],[1,3,49],[2,4,4],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,1)=5,(0,4)=17,(0,2)=46,(1,3)=49,(1,2)=56,(0,3)=62,(3,4)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=17 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=3, Add (1,3)=49 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,75],[0,3,23],[0,4,64],[0,5,11],[0,7,8],[1,3,76],[1,5,55],[1,6,90],[1,7,52],[2,3,63],[2,4,66],[2,7,75],[3,4,11],[3,5,54],[3,6,51],[3,7,94],[4,5,10],[4,6,54],[4,7,6],[5,7,42],[6,7,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,23],[0,4,64],[0,5,11],[0,7,8],[1,3,76],[1,5,55],[1,6,90],[1,7,52],[2,3,63],[2,4,66],[2,7,75],[3,4,11],[3,5,54],[3,6,51],[3,7,94],[4,5,10],[4,6,54],[4,7,6],[5,7,42],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,23],[0,4,64],[0,5,11],[0,7,8],[1,3,76],[1,5,55],[1,6,90],[1,7,52],[2,3,63],[2,4,66],[2,7,75],[3,4,11],[3,5,54],[3,6,51],[3,7,94],[4,5,10],[4,6,54],[4,7,6],[5,7,42],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (1,7)\",\"Add (2,3)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,23],[0,4,64],[0,5,11],[0,7,8],[1,3,76],[1,5,55],[1,6,90],[1,7,52],[2,3,63],[2,4,66],[2,7,75],[3,4,11],[3,5,54],[3,6,51],[3,7,94],[4,5,10],[4,6,54],[4,7,6],[5,7,42],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=6, w=6\",\"Add (0,7)=8, w=14\",\"Add (4,5)=10, w=24\",\"Add (3,4)=11, w=35\",\"Add (6,7)=32, w=67\",\"Add (1,7)=52, w=119\",\"Add (2,3)=63, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,23],[0,4,64],[0,5,11],[0,7,8],[1,3,76],[1,5,55],[1,6,90],[1,7,52],[2,3,63],[2,4,66],[2,7,75],[3,4,11],[3,5,54],[3,6,51],[3,7,94],[4,5,10],[4,6,54],[4,7,6],[5,7,42],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=6 Succeeded, w=6\",\"Add (0,7)=8 Succeeded, w=14\",\"Add (4,5)=10 Succeeded, w=24\",\"Add (0,5)=11 Failed, w=24\",\"Add (3,4)=11 Succeeded, w=35\",\"Add (0,3)=23 Failed, w=35\",\"Add (6,7)=32 Succeeded, w=67\",\"Add (5,7)=42 Failed, w=67\",\"Add (3,6)=51 Failed, w=67\",\"Add (1,7)=52 Succeeded, w=119\",\"Add (3,5)=54 Failed, w=119\",\"Add (4,6)=54 Failed, w=119\",\"Add (1,5)=55 Failed, w=119\",\"Add (2,3)=63 Succeeded, w=182\",\"Add (0,4)=64 Failed, w=182\",\"Add (2,4)=66 Failed, w=182\",\"Add (0,2)=75 Failed, w=182\",\"Add (2,7)=75 Failed, w=182\",\"Add (1,3)=76 Failed, w=182\",\"Add (1,6)=90 Failed, w=182\",\"Add (3,7)=94 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,23],[0,4,64],[0,5,11],[0,7,8],[1,3,76],[1,5,55],[1,6,90],[1,7,52],[2,3,63],[2,4,66],[2,7,75],[3,4,11],[3,5,54],[3,6,51],[3,7,94],[4,5,10],[4,6,54],[4,7,6],[5,7,42],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=6,(0,7)=8,(4,5)=10,(0,5)=11,(3,4)=11,(0,3)=23,(6,7)=32,(5,7)=42,(3,6)=51,(1,7)=52,(3,5)=54,(4,6)=54,(1,5)=55,(2,3)=63,(0,4)=64,(2,4)=66,(0,2)=75,(2,7)=75,(1,3)=76,(1,6)=90,(3,7)=94]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(7)=4, Add (0,7)=8 Succeeded, w=14\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=24\",\"Find(0)=4, Find(5)=4, Add (0,5)=11 Failed, w=24\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=35\",\"Find(0)=4, Find(3)=4, Add (0,3)=23 Failed, w=35\",\"Find(6)=6, Find(7)=4, Add (6,7)=32 Succeeded, w=67\",\"Find(5)=4, Find(7)=4, Add (5,7)=42 Failed, w=67\",\"Find(3)=4, Find(6)=4, Add (3,6)=51 Failed, w=67\",\"Find(1)=1, Find(7)=4, Add (1,7)=52 Succeeded, w=119\",\"Find(3)=4, Find(5)=4, Add (3,5)=54 Failed, w=119\",\"Find(4)=4, Find(6)=4, Add (4,6)=54 Failed, w=119\",\"Find(1)=4, Find(5)=4, Add (1,5)=55 Failed, w=119\",\"Find(2)=2, Find(3)=4, Add (2,3)=63 Succeeded, w=182\",\"Find(0)=4, Find(4)=4, Add (0,4)=64 Failed, w=182\",\"Find(2)=4, Find(4)=4, Add (2,4)=66 Failed, w=182\",\"Find(0)=4, Find(2)=4, Add (0,2)=75 Failed, w=182\",\"Find(2)=4, Find(7)=4, Add (2,7)=75 Failed, w=182\",\"Find(1)=4, Find(3)=4, Add (1,3)=76 Failed, w=182\",\"Find(1)=4, Find(6)=4, Add (1,6)=90 Failed, w=182\",\"Find(3)=4, Find(7)=4, Add (3,7)=94 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,23],[0,4,64],[0,5,11],[0,7,8],[1,3,76],[1,5,55],[1,6,90],[1,7,52],[2,3,63],[2,4,66],[2,7,75],[3,4,11],[3,5,54],[3,6,51],[3,7,94],[4,5,10],[4,6,54],[4,7,6],[5,7,42],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=6,(0,7)=8,(4,5)=10,(0,5)=11,(3,4)=11,(0,3)=23,(6,7)=32,(5,7)=42,(3,6)=51,(1,7)=52,(3,5)=54,(4,6)=54,(1,5)=55,(2,3)=63,(0,4)=64,(2,4)=66,(0,2)=75,(2,7)=75,(1,3)=76,(1,6)=90,(3,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=6 Succeeded, w=6\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=8 Succeeded, w=14\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=24\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=11 Failed, w=24\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=35\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=23 Failed, w=35\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=6, Find(7)=4, Add (6,7)=32 Succeeded, w=67\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=42 Failed, w=67\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=51 Failed, w=67\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=52 Succeeded, w=119\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=54 Failed, w=119\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=54 Failed, w=119\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=55 Failed, w=119\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=2, Find(3)=4, Add (2,3)=63 Succeeded, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=64 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=66 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=75 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=75 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=76 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=90 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=94 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,17],[0,2,55],[2,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,55],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,55],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,55],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17, w=17\",\"Add (0,2)=55, w=72\",\"Add (2,3)=72, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,55],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17 Succeeded, w=17\",\"Add (0,2)=55 Succeeded, w=72\",\"Add (2,3)=72 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,55],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(0,2)=55,(2,3)=72]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=72\",\"Find(2)=0, Find(3)=3, Add (2,3)=72 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,55],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(0,2)=55,(2,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=72 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,30],[0,2,18],[0,3,12],[0,4,73],[1,2,15],[1,3,83],[1,4,65],[2,4,19],[3,4,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,18],[0,3,12],[0,4,73],[1,2,15],[1,3,83],[1,4,65],[2,4,19],[3,4,45]]}",
"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\":[[0,1,30],[0,2,18],[0,3,12],[0,4,73],[1,2,15],[1,3,83],[1,4,65],[2,4,19],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,18],[0,3,12],[0,4,73],[1,2,15],[1,3,83],[1,4,65],[2,4,19],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12, w=12\",\"Add (1,2)=15, w=27\",\"Add (0,2)=18, w=45\",\"Add (2,4)=19, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,18],[0,3,12],[0,4,73],[1,2,15],[1,3,83],[1,4,65],[2,4,19],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12 Succeeded, w=12\",\"Add (1,2)=15 Succeeded, w=27\",\"Add (0,2)=18 Succeeded, w=45\",\"Add (2,4)=19 Succeeded, w=64\",\"Add (0,1)=30 Failed, w=64\",\"Add (3,4)=45 Failed, w=64\",\"Add (1,4)=65 Failed, w=64\",\"Add (0,4)=73 Failed, w=64\",\"Add (1,3)=83 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\":[[0,1,30],[0,2,18],[0,3,12],[0,4,73],[1,2,15],[1,3,83],[1,4,65],[2,4,19],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(1,2)=15,(0,2)=18,(2,4)=19,(0,1)=30,(3,4)=45,(1,4)=65,(0,4)=73,(1,3)=83]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=27\",\"Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=45\",\"Find(2)=0, Find(4)=4, Add (2,4)=19 Succeeded, w=64\",\"Find(0)=0, Find(1)=0, Add (0,1)=30 Failed, w=64\",\"Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=64\",\"Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=64\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=64\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 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\":[[0,1,30],[0,2,18],[0,3,12],[0,4,73],[1,2,15],[1,3,83],[1,4,65],[2,4,19],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(1,2)=15,(0,2)=18,(2,4)=19,(0,1)=30,(3,4)=45,(1,4)=65,(0,4)=73,(1,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=19 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=30 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,22],[0,3,30],[0,4,99],[1,2,80],[2,3,53],[2,4,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,30],[0,4,99],[1,2,80],[2,3,53],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,30],[0,4,99],[1,2,80],[2,3,53],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,30],[0,4,99],[1,2,80],[2,3,53],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22, w=22\",\"Add (0,3)=30, w=52\",\"Add (2,3)=53, w=105\",\"Add (2,4)=56, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,30],[0,4,99],[1,2,80],[2,3,53],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22 Succeeded, w=22\",\"Add (0,3)=30 Succeeded, w=52\",\"Add (2,3)=53 Succeeded, w=105\",\"Add (2,4)=56 Succeeded, w=161\",\"Add (1,2)=80 Failed, w=161\",\"Add (0,4)=99 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,30],[0,4,99],[1,2,80],[2,3,53],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(0,3)=30,(2,3)=53,(2,4)=56,(1,2)=80,(0,4)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=52\",\"Find(2)=2, Find(3)=0, Add (2,3)=53 Succeeded, w=105\",\"Find(2)=0, Find(4)=4, Add (2,4)=56 Succeeded, w=161\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=161\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,3,30],[0,4,99],[1,2,80],[2,3,53],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(0,3)=30,(2,3)=53,(2,4)=56,(1,2)=80,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=53 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=56 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,64],[0,3,6],[1,2,68],[1,3,99],[2,3,96],[3,4,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,6],[1,2,68],[1,3,99],[2,3,96],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,6],[1,2,68],[1,3,99],[2,3,96],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,6],[1,2,68],[1,3,99],[2,3,96],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (3,4)=8, w=14\",\"Add (0,1)=64, w=78\",\"Add (1,2)=68, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,6],[1,2,68],[1,3,99],[2,3,96],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (3,4)=8 Succeeded, w=14\",\"Add (0,1)=64 Succeeded, w=78\",\"Add (1,2)=68 Succeeded, w=146\",\"Add (2,3)=96 Failed, w=146\",\"Add (1,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,6],[1,2,68],[1,3,99],[2,3,96],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(3,4)=8,(0,1)=64,(1,2)=68,(2,3)=96,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(3)=0, Find(4)=4, Add (3,4)=8 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=78\",\"Find(1)=0, Find(2)=2, Add (1,2)=68 Succeeded, w=146\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=146\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,3,6],[1,2,68],[1,3,99],[2,3,96],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(3,4)=8,(0,1)=64,(1,2)=68,(2,3)=96,(1,3)=99]\",\"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: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=68 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,18],[0,2,12],[0,3,72],[0,4,9],[0,5,60],[1,2,36],[1,3,52],[1,4,45],[1,5,75],[2,3,42],[2,4,28],[2,5,59],[3,4,4],[3,5,62],[4,5,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,12],[0,3,72],[0,4,9],[0,5,60],[1,2,36],[1,3,52],[1,4,45],[1,5,75],[2,3,42],[2,4,28],[2,5,59],[3,4,4],[3,5,62],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,12],[0,3,72],[0,4,9],[0,5,60],[1,2,36],[1,3,52],[1,4,45],[1,5,75],[2,3,42],[2,4,28],[2,5,59],[3,4,4],[3,5,62],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,12],[0,3,72],[0,4,9],[0,5,60],[1,2,36],[1,3,52],[1,4,45],[1,5,75],[2,3,42],[2,4,28],[2,5,59],[3,4,4],[3,5,62],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (0,4)=9, w=13\",\"Add (0,2)=12, w=25\",\"Add (0,1)=18, w=43\",\"Add (2,5)=59, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,12],[0,3,72],[0,4,9],[0,5,60],[1,2,36],[1,3,52],[1,4,45],[1,5,75],[2,3,42],[2,4,28],[2,5,59],[3,4,4],[3,5,62],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (0,4)=9 Succeeded, w=13\",\"Add (0,2)=12 Succeeded, w=25\",\"Add (0,1)=18 Succeeded, w=43\",\"Add (2,4)=28 Failed, w=43\",\"Add (1,2)=36 Failed, w=43\",\"Add (2,3)=42 Failed, w=43\",\"Add (1,4)=45 Failed, w=43\",\"Add (1,3)=52 Failed, w=43\",\"Add (2,5)=59 Succeeded, w=102\",\"Add (0,5)=60 Failed, w=102\",\"Add (3,5)=62 Failed, w=102\",\"Add (0,3)=72 Failed, w=102\",\"Add (1,5)=75 Failed, w=102\",\"Add (4,5)=87 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,12],[0,3,72],[0,4,9],[0,5,60],[1,2,36],[1,3,52],[1,4,45],[1,5,75],[2,3,42],[2,4,28],[2,5,59],[3,4,4],[3,5,62],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,4)=9,(0,2)=12,(0,1)=18,(2,4)=28,(1,2)=36,(2,3)=42,(1,4)=45,(1,3)=52,(2,5)=59,(0,5)=60,(3,5)=62,(0,3)=72,(1,5)=75,(4,5)=87]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=3, Add (0,4)=9 Succeeded, w=13\",\"Find(0)=3, Find(2)=2, Add (0,2)=12 Succeeded, w=25\",\"Find(0)=3, Find(1)=1, Add (0,1)=18 Succeeded, w=43\",\"Find(2)=3, Find(4)=3, Add (2,4)=28 Failed, w=43\",\"Find(1)=3, Find(2)=3, Add (1,2)=36 Failed, w=43\",\"Find(2)=3, Find(3)=3, Add (2,3)=42 Failed, w=43\",\"Find(1)=3, Find(4)=3, Add (1,4)=45 Failed, w=43\",\"Find(1)=3, Find(3)=3, Add (1,3)=52 Failed, w=43\",\"Find(2)=3, Find(5)=5, Add (2,5)=59 Succeeded, w=102\",\"Find(0)=3, Find(5)=3, Add (0,5)=60 Failed, w=102\",\"Find(3)=3, Find(5)=3, Add (3,5)=62 Failed, w=102\",\"Find(0)=3, Find(3)=3, Add (0,3)=72 Failed, w=102\",\"Find(1)=3, Find(5)=3, Add (1,5)=75 Failed, w=102\",\"Find(4)=3, Find(5)=3, Add (4,5)=87 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,12],[0,3,72],[0,4,9],[0,5,60],[1,2,36],[1,3,52],[1,4,45],[1,5,75],[2,3,42],[2,4,28],[2,5,59],[3,4,4],[3,5,62],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,4)=9,(0,2)=12,(0,1)=18,(2,4)=28,(1,2)=36,(2,3)=42,(1,4)=45,(1,3)=52,(2,5)=59,(0,5)=60,(3,5)=62,(0,3)=72,(1,5)=75,(4,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(4)=3, Add (0,4)=9 Succeeded, w=13\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=3, Find(2)=2, Add (0,2)=12 Succeeded, w=25\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=3, Find(1)=1, Add (0,1)=18 Succeeded, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=3, Find(4)=3, Add (2,4)=28 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(2)=3, Add (1,2)=36 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=3, Find(3)=3, Add (2,3)=42 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(4)=3, Add (1,4)=45 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(3)=3, Add (1,3)=52 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=5, Add (2,5)=59 Succeeded, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=60 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=62 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=72 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=75 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=87 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,2,63],[0,3,7],[1,4,13],[1,5,30],[2,3,29],[2,4,13],[3,4,69],[3,5,1],[4,5,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,63],[0,3,7],[1,4,13],[1,5,30],[2,3,29],[2,4,13],[3,4,69],[3,5,1],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,63],[0,3,7],[1,4,13],[1,5,30],[2,3,29],[2,4,13],[3,4,69],[3,5,1],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,63],[0,3,7],[1,4,13],[1,5,30],[2,3,29],[2,4,13],[3,4,69],[3,5,1],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (0,3)=7, w=8\",\"Add (4,5)=7, w=15\",\"Add (1,4)=13, w=28\",\"Add (2,4)=13, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,63],[0,3,7],[1,4,13],[1,5,30],[2,3,29],[2,4,13],[3,4,69],[3,5,1],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (0,3)=7 Succeeded, w=8\",\"Add (4,5)=7 Succeeded, w=15\",\"Add (1,4)=13 Succeeded, w=28\",\"Add (2,4)=13 Succeeded, w=41\",\"Add (2,3)=29 Failed, w=41\",\"Add (1,5)=30 Failed, w=41\",\"Add (0,2)=63 Failed, w=41\",\"Add (3,4)=69 Failed, w=41\",\"Add (0,1)=75 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,63],[0,3,7],[1,4,13],[1,5,30],[2,3,29],[2,4,13],[3,4,69],[3,5,1],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,3)=7,(4,5)=7,(1,4)=13,(2,4)=13,(2,3)=29,(1,5)=30,(0,2)=63,(3,4)=69,(0,1)=75]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=8\",\"Find(4)=4, Find(5)=3, Add (4,5)=7 Succeeded, w=15\",\"Find(1)=1, Find(4)=3, Add (1,4)=13 Succeeded, w=28\",\"Find(2)=2, Find(4)=3, Add (2,4)=13 Succeeded, w=41\",\"Find(2)=3, Find(3)=3, Add (2,3)=29 Failed, w=41\",\"Find(1)=3, Find(5)=3, Add (1,5)=30 Failed, w=41\",\"Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=41\",\"Find(3)=3, Find(4)=3, Add (3,4)=69 Failed, w=41\",\"Find(0)=3, Find(1)=3, Add (0,1)=75 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,63],[0,3,7],[1,4,13],[1,5,30],[2,3,29],[2,4,13],[3,4,69],[3,5,1],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,3)=7,(4,5)=7,(1,4)=13,(2,4)=13,(2,3)=29,(1,5)=30,(0,2)=63,(3,4)=69,(0,1)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=7 Succeeded, w=15\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(4)=3, Add (1,4)=13 Succeeded, w=28\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(4)=3, Add (2,4)=13 Succeeded, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=29 Failed, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=30 Failed, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=69 Failed, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=75 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,90],[0,2,70],[0,3,4],[0,4,53],[0,5,50],[0,6,80],[0,7,17],[1,2,57],[1,3,97],[1,4,45],[1,5,43],[1,6,65],[1,7,0],[2,3,78],[2,4,43],[2,5,96],[2,6,89],[2,7,30],[3,4,75],[3,5,40],[3,6,11],[3,7,18],[4,5,91],[4,6,82],[4,7,94],[5,6,84],[5,7,2],[6,7,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,70],[0,3,4],[0,4,53],[0,5,50],[0,6,80],[0,7,17],[1,2,57],[1,3,97],[1,4,45],[1,5,43],[1,6,65],[1,7,0],[2,3,78],[2,4,43],[2,5,96],[2,6,89],[2,7,30],[3,4,75],[3,5,40],[3,6,11],[3,7,18],[4,5,91],[4,6,82],[4,7,94],[5,6,84],[5,7,2],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,70],[0,3,4],[0,4,53],[0,5,50],[0,6,80],[0,7,17],[1,2,57],[1,3,97],[1,4,45],[1,5,43],[1,6,65],[1,7,0],[2,3,78],[2,4,43],[2,5,96],[2,6,89],[2,7,30],[3,4,75],[3,5,40],[3,6,11],[3,7,18],[4,5,91],[4,6,82],[4,7,94],[5,6,84],[5,7,2],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (5,7)\",\"Add (6,7)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (2,7)\",\"Add (2,4)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,70],[0,3,4],[0,4,53],[0,5,50],[0,6,80],[0,7,17],[1,2,57],[1,3,97],[1,4,45],[1,5,43],[1,6,65],[1,7,0],[2,3,78],[2,4,43],[2,5,96],[2,6,89],[2,7,30],[3,4,75],[3,5,40],[3,6,11],[3,7,18],[4,5,91],[4,6,82],[4,7,94],[5,6,84],[5,7,2],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0, w=0\",\"Add (5,7)=2, w=2\",\"Add (6,7)=2, w=4\",\"Add (0,3)=4, w=8\",\"Add (3,6)=11, w=19\",\"Add (2,7)=30, w=49\",\"Add (2,4)=43, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,70],[0,3,4],[0,4,53],[0,5,50],[0,6,80],[0,7,17],[1,2,57],[1,3,97],[1,4,45],[1,5,43],[1,6,65],[1,7,0],[2,3,78],[2,4,43],[2,5,96],[2,6,89],[2,7,30],[3,4,75],[3,5,40],[3,6,11],[3,7,18],[4,5,91],[4,6,82],[4,7,94],[5,6,84],[5,7,2],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0 Succeeded, w=0\",\"Add (5,7)=2 Succeeded, w=2\",\"Add (6,7)=2 Succeeded, w=4\",\"Add (0,3)=4 Succeeded, w=8\",\"Add (3,6)=11 Succeeded, w=19\",\"Add (0,7)=17 Failed, w=19\",\"Add (3,7)=18 Failed, w=19\",\"Add (2,7)=30 Succeeded, w=49\",\"Add (3,5)=40 Failed, w=49\",\"Add (1,5)=43 Failed, w=49\",\"Add (2,4)=43 Succeeded, w=92\",\"Add (1,4)=45 Failed, w=92\",\"Add (0,5)=50 Failed, w=92\",\"Add (0,4)=53 Failed, w=92\",\"Add (1,2)=57 Failed, w=92\",\"Add (1,6)=65 Failed, w=92\",\"Add (0,2)=70 Failed, w=92\",\"Add (3,4)=75 Failed, w=92\",\"Add (2,3)=78 Failed, w=92\",\"Add (0,6)=80 Failed, w=92\",\"Add (4,6)=82 Failed, w=92\",\"Add (5,6)=84 Failed, w=92\",\"Add (2,6)=89 Failed, w=92\",\"Add (0,1)=90 Failed, w=92\",\"Add (4,5)=91 Failed, w=92\",\"Add (4,7)=94 Failed, w=92\",\"Add (2,5)=96 Failed, w=92\",\"Add (1,3)=97 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,70],[0,3,4],[0,4,53],[0,5,50],[0,6,80],[0,7,17],[1,2,57],[1,3,97],[1,4,45],[1,5,43],[1,6,65],[1,7,0],[2,3,78],[2,4,43],[2,5,96],[2,6,89],[2,7,30],[3,4,75],[3,5,40],[3,6,11],[3,7,18],[4,5,91],[4,6,82],[4,7,94],[5,6,84],[5,7,2],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(5,7)=2,(6,7)=2,(0,3)=4,(3,6)=11,(0,7)=17,(3,7)=18,(2,7)=30,(3,5)=40,(1,5)=43,(2,4)=43,(1,4)=45,(0,5)=50,(0,4)=53,(1,2)=57,(1,6)=65,(0,2)=70,(3,4)=75,(2,3)=78,(0,6)=80,(4,6)=82,(5,6)=84,(2,6)=89,(0,1)=90,(4,5)=91,(4,7)=94,(2,5)=96,(1,3)=97]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Find(5)=5, Find(7)=1, Add (5,7)=2 Succeeded, w=2\",\"Find(6)=6, Find(7)=1, Add (6,7)=2 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=8\",\"Find(3)=0, Find(6)=1, Add (3,6)=11 Succeeded, w=19\",\"Find(0)=0, Find(7)=0, Add (0,7)=17 Failed, w=19\",\"Find(3)=0, Find(7)=0, Add (3,7)=18 Failed, w=19\",\"Find(2)=2, Find(7)=0, Add (2,7)=30 Succeeded, w=49\",\"Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=49\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=49\",\"Find(2)=0, Find(4)=4, Add (2,4)=43 Succeeded, w=92\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=92\",\"Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=92\",\"Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=92\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=92\",\"Find(1)=0, Find(6)=0, Add (1,6)=65 Failed, w=92\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=92\",\"Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=92\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=92\",\"Find(0)=0, Find(6)=0, Add (0,6)=80 Failed, w=92\",\"Find(4)=0, Find(6)=0, Add (4,6)=82 Failed, w=92\",\"Find(5)=0, Find(6)=0, Add (5,6)=84 Failed, w=92\",\"Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=92\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=92\",\"Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=92\",\"Find(4)=0, Find(7)=0, Add (4,7)=94 Failed, w=92\",\"Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=92\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,70],[0,3,4],[0,4,53],[0,5,50],[0,6,80],[0,7,17],[1,2,57],[1,3,97],[1,4,45],[1,5,43],[1,6,65],[1,7,0],[2,3,78],[2,4,43],[2,5,96],[2,6,89],[2,7,30],[3,4,75],[3,5,40],[3,6,11],[3,7,18],[4,5,91],[4,6,82],[4,7,94],[5,6,84],[5,7,2],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(5,7)=2,(6,7)=2,(0,3)=4,(3,6)=11,(0,7)=17,(3,7)=18,(2,7)=30,(3,5)=40,(1,5)=43,(2,4)=43,(1,4)=45,(0,5)=50,(0,4)=53,(1,2)=57,(1,6)=65,(0,2)=70,(3,4)=75,(2,3)=78,(0,6)=80,(4,6)=82,(5,6)=84,(2,6)=89,(0,1)=90,(4,5)=91,(4,7)=94,(2,5)=96,(1,3)=97]\",\"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)=0 Succeeded, w=0\",\"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=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=0, Find(6)=1, Add (3,6)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=17 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 1, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=18 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 1, 6: 1, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=30 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 1, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=43 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=92\",\"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)=65 Failed, w=92\",\"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)=70 Failed, w=92\",\"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)=75 Failed, w=92\",\"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)=78 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=80 Failed, w=92\",\"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)=82 Failed, w=92\",\"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)=84 Failed, w=92\",\"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)=89 Failed, w=92\",\"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)=90 Failed, w=92\",\"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)=91 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=94 Failed, w=92\",\"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)=96 Failed, w=92\",\"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)=97 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,18],[0,3,32],[0,4,31],[1,2,81],[1,3,5],[1,4,77],[1,5,73],[1,6,84],[2,3,97],[2,4,70],[2,5,45],[2,6,62],[3,4,52],[3,5,14],[3,6,59],[4,5,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,32],[0,4,31],[1,2,81],[1,3,5],[1,4,77],[1,5,73],[1,6,84],[2,3,97],[2,4,70],[2,5,45],[2,6,62],[3,4,52],[3,5,14],[3,6,59],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"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],[0,3,32],[0,4,31],[1,2,81],[1,3,5],[1,4,77],[1,5,73],[1,6,84],[2,3,97],[2,4,70],[2,5,45],[2,6,62],[3,4,52],[3,5,14],[3,6,59],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (3,6)\"],\"Answer\":138}",
"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],[0,3,32],[0,4,31],[1,2,81],[1,3,5],[1,4,77],[1,5,73],[1,6,84],[2,3,97],[2,4,70],[2,5,45],[2,6,62],[3,4,52],[3,5,14],[3,6,59],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (4,5)=11, w=16\",\"Add (3,5)=14, w=30\",\"Add (0,2)=18, w=48\",\"Add (0,4)=31, w=79\",\"Add (3,6)=59, w=138\"],\"Answer\":138}",
"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],[0,3,32],[0,4,31],[1,2,81],[1,3,5],[1,4,77],[1,5,73],[1,6,84],[2,3,97],[2,4,70],[2,5,45],[2,6,62],[3,4,52],[3,5,14],[3,6,59],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (4,5)=11 Succeeded, w=16\",\"Add (3,5)=14 Succeeded, w=30\",\"Add (0,2)=18 Succeeded, w=48\",\"Add (0,4)=31 Succeeded, w=79\",\"Add (0,3)=32 Failed, w=79\",\"Add (2,5)=45 Failed, w=79\",\"Add (3,4)=52 Failed, w=79\",\"Add (3,6)=59 Succeeded, w=138\",\"Add (2,6)=62 Failed, w=138\",\"Add (2,4)=70 Failed, w=138\",\"Add (1,5)=73 Failed, w=138\",\"Add (1,4)=77 Failed, w=138\",\"Add (1,2)=81 Failed, w=138\",\"Add (1,6)=84 Failed, w=138\",\"Add (2,3)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,32],[0,4,31],[1,2,81],[1,3,5],[1,4,77],[1,5,73],[1,6,84],[2,3,97],[2,4,70],[2,5,45],[2,6,62],[3,4,52],[3,5,14],[3,6,59],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(4,5)=11,(3,5)=14,(0,2)=18,(0,4)=31,(0,3)=32,(2,5)=45,(3,4)=52,(3,6)=59,(2,6)=62,(2,4)=70,(1,5)=73,(1,4)=77,(1,2)=81,(1,6)=84,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=16\",\"Find(3)=1, Find(5)=4, Add (3,5)=14 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=48\",\"Find(0)=0, Find(4)=1, Add (0,4)=31 Succeeded, w=79\",\"Find(0)=1, Find(3)=1, Add (0,3)=32 Failed, w=79\",\"Find(2)=1, Find(5)=1, Add (2,5)=45 Failed, w=79\",\"Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=79\",\"Find(3)=1, Find(6)=6, Add (3,6)=59 Succeeded, w=138\",\"Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=138\",\"Find(2)=1, Find(4)=1, Add (2,4)=70 Failed, w=138\",\"Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=138\",\"Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=138\",\"Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=138\",\"Find(1)=1, Find(6)=1, Add (1,6)=84 Failed, w=138\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,32],[0,4,31],[1,2,81],[1,3,5],[1,4,77],[1,5,73],[1,6,84],[2,3,97],[2,4,70],[2,5,45],[2,6,62],[3,4,52],[3,5,14],[3,6,59],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(4,5)=11,(3,5)=14,(0,2)=18,(0,4)=31,(0,3)=32,(2,5)=45,(3,4)=52,(3,6)=59,(2,6)=62,(2,4)=70,(1,5)=73,(1,4)=77,(1,2)=81,(1,6)=84,(2,3)=97]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 6}, Find(3)=1, Find(5)=4, Add (3,5)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 4, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 4, 6: 6}, Find(0)=0, Find(4)=1, Add (0,4)=31 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 4, 6: 6}, Find(0)=1, Find(3)=1, Add (0,3)=32 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=45 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=59 Succeeded, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=70 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=84 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,21],[0,3,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,21],[0,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,21],[0,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,21],[0,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=21, w=21\",\"Add (0,3)=63, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,21],[0,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=21 Succeeded, w=21\",\"Add (0,3)=63 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,21],[0,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=21,(0,3)=63]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,21],[0,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=21,(0,3)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,55],[0,3,50],[0,4,72],[0,5,66],[1,2,58],[1,4,99],[1,5,81],[1,6,3],[2,3,25],[2,4,55],[2,6,10],[3,4,83],[3,5,72],[3,6,45],[4,5,92],[5,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,50],[0,4,72],[0,5,66],[1,2,58],[1,4,99],[1,5,81],[1,6,3],[2,3,25],[2,4,55],[2,6,10],[3,4,83],[3,5,72],[3,6,45],[4,5,92],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,50],[0,4,72],[0,5,66],[1,2,58],[1,4,99],[1,5,81],[1,6,3],[2,3,25],[2,4,55],[2,6,10],[3,4,83],[3,5,72],[3,6,45],[4,5,92],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,50],[0,4,72],[0,5,66],[1,2,58],[1,4,99],[1,5,81],[1,6,3],[2,3,25],[2,4,55],[2,6,10],[3,4,83],[3,5,72],[3,6,45],[4,5,92],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=3, w=3\",\"Add (2,6)=10, w=13\",\"Add (2,3)=25, w=38\",\"Add (5,6)=25, w=63\",\"Add (0,3)=50, w=113\",\"Add (2,4)=55, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,50],[0,4,72],[0,5,66],[1,2,58],[1,4,99],[1,5,81],[1,6,3],[2,3,25],[2,4,55],[2,6,10],[3,4,83],[3,5,72],[3,6,45],[4,5,92],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=3 Succeeded, w=3\",\"Add (2,6)=10 Succeeded, w=13\",\"Add (2,3)=25 Succeeded, w=38\",\"Add (5,6)=25 Succeeded, w=63\",\"Add (3,6)=45 Failed, w=63\",\"Add (0,3)=50 Succeeded, w=113\",\"Add (0,2)=55 Failed, w=113\",\"Add (2,4)=55 Succeeded, w=168\",\"Add (1,2)=58 Failed, w=168\",\"Add (0,5)=66 Failed, w=168\",\"Add (0,4)=72 Failed, w=168\",\"Add (3,5)=72 Failed, w=168\",\"Add (1,5)=81 Failed, w=168\",\"Add (3,4)=83 Failed, w=168\",\"Add (4,5)=92 Failed, w=168\",\"Add (1,4)=99 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,50],[0,4,72],[0,5,66],[1,2,58],[1,4,99],[1,5,81],[1,6,3],[2,3,25],[2,4,55],[2,6,10],[3,4,83],[3,5,72],[3,6,45],[4,5,92],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=3,(2,6)=10,(2,3)=25,(5,6)=25,(3,6)=45,(0,3)=50,(0,2)=55,(2,4)=55,(1,2)=58,(0,5)=66,(0,4)=72,(3,5)=72,(1,5)=81,(3,4)=83,(4,5)=92,(1,4)=99]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Find(2)=2, Find(6)=1, Add (2,6)=10 Succeeded, w=13\",\"Find(2)=1, Find(3)=3, Add (2,3)=25 Succeeded, w=38\",\"Find(5)=5, Find(6)=1, Add (5,6)=25 Succeeded, w=63\",\"Find(3)=1, Find(6)=1, Add (3,6)=45 Failed, w=63\",\"Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=113\",\"Find(0)=1, Find(2)=1, Add (0,2)=55 Failed, w=113\",\"Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=168\",\"Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=168\",\"Find(0)=1, Find(5)=1, Add (0,5)=66 Failed, w=168\",\"Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=168\",\"Find(3)=1, Find(5)=1, Add (3,5)=72 Failed, w=168\",\"Find(1)=1, Find(5)=1, Add (1,5)=81 Failed, w=168\",\"Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=168\",\"Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=168\",\"Find(1)=1, Find(4)=1, Add (1,4)=99 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,55],[0,3,50],[0,4,72],[0,5,66],[1,2,58],[1,4,99],[1,5,81],[1,6,3],[2,3,25],[2,4,55],[2,6,10],[3,4,83],[3,5,72],[3,6,45],[4,5,92],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=3,(2,6)=10,(2,3)=25,(5,6)=25,(3,6)=45,(0,3)=50,(0,2)=55,(2,4)=55,(1,2)=58,(0,5)=66,(0,4)=72,(3,5)=72,(1,5)=81,(3,4)=83,(4,5)=92,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=25 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=25 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=45 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=55 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=66 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=72 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=81 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=99 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,51],[0,3,48],[0,4,27],[0,5,8],[0,6,9],[1,2,34],[1,4,85],[1,5,61],[1,6,99],[2,3,49],[2,4,15],[2,5,69],[2,6,91],[3,4,81],[3,5,54],[3,6,72],[4,5,86],[4,6,54],[5,6,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,51],[0,3,48],[0,4,27],[0,5,8],[0,6,9],[1,2,34],[1,4,85],[1,5,61],[1,6,99],[2,3,49],[2,4,15],[2,5,69],[2,6,91],[3,4,81],[3,5,54],[3,6,72],[4,5,86],[4,6,54],[5,6,18]]}",
"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\":[[0,2,51],[0,3,48],[0,4,27],[0,5,8],[0,6,9],[1,2,34],[1,4,85],[1,5,61],[1,6,99],[2,3,49],[2,4,15],[2,5,69],[2,6,91],[3,4,81],[3,5,54],[3,6,72],[4,5,86],[4,6,54],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,51],[0,3,48],[0,4,27],[0,5,8],[0,6,9],[1,2,34],[1,4,85],[1,5,61],[1,6,99],[2,3,49],[2,4,15],[2,5,69],[2,6,91],[3,4,81],[3,5,54],[3,6,72],[4,5,86],[4,6,54],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8, w=8\",\"Add (0,6)=9, w=17\",\"Add (2,4)=15, w=32\",\"Add (0,4)=27, w=59\",\"Add (1,2)=34, w=93\",\"Add (0,3)=48, 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\":[[0,2,51],[0,3,48],[0,4,27],[0,5,8],[0,6,9],[1,2,34],[1,4,85],[1,5,61],[1,6,99],[2,3,49],[2,4,15],[2,5,69],[2,6,91],[3,4,81],[3,5,54],[3,6,72],[4,5,86],[4,6,54],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8 Succeeded, w=8\",\"Add (0,6)=9 Succeeded, w=17\",\"Add (2,4)=15 Succeeded, w=32\",\"Add (5,6)=18 Failed, w=32\",\"Add (0,4)=27 Succeeded, w=59\",\"Add (1,2)=34 Succeeded, w=93\",\"Add (0,3)=48 Succeeded, w=141\",\"Add (2,3)=49 Failed, w=141\",\"Add (0,2)=51 Failed, w=141\",\"Add (3,5)=54 Failed, w=141\",\"Add (4,6)=54 Failed, w=141\",\"Add (1,5)=61 Failed, w=141\",\"Add (2,5)=69 Failed, w=141\",\"Add (3,6)=72 Failed, w=141\",\"Add (3,4)=81 Failed, w=141\",\"Add (1,4)=85 Failed, w=141\",\"Add (4,5)=86 Failed, w=141\",\"Add (2,6)=91 Failed, w=141\",\"Add (1,6)=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\":[[0,2,51],[0,3,48],[0,4,27],[0,5,8],[0,6,9],[1,2,34],[1,4,85],[1,5,61],[1,6,99],[2,3,49],[2,4,15],[2,5,69],[2,6,91],[3,4,81],[3,5,54],[3,6,72],[4,5,86],[4,6,54],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(0,6)=9,(2,4)=15,(5,6)=18,(0,4)=27,(1,2)=34,(0,3)=48,(2,3)=49,(0,2)=51,(3,5)=54,(4,6)=54,(1,5)=61,(2,5)=69,(3,6)=72,(3,4)=81,(1,4)=85,(4,5)=86,(2,6)=91,(1,6)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=17\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=32\",\"Find(5)=0, Find(6)=0, Add (5,6)=18 Failed, w=32\",\"Find(0)=0, Find(4)=2, Add (0,4)=27 Succeeded, w=59\",\"Find(1)=1, Find(2)=0, Add (1,2)=34 Succeeded, w=93\",\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=141\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=141\",\"Find(0)=0, Find(2)=0, Add (0,2)=51 Failed, w=141\",\"Find(3)=0, Find(5)=0, Add (3,5)=54 Failed, w=141\",\"Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=141\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=141\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=141\",\"Find(3)=0, Find(6)=0, Add (3,6)=72 Failed, w=141\",\"Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=141\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=141\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=141\",\"Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=141\",\"Find(1)=0, Find(6)=0, Add (1,6)=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\":[[0,2,51],[0,3,48],[0,4,27],[0,5,8],[0,6,9],[1,2,34],[1,4,85],[1,5,61],[1,6,99],[2,3,49],[2,4,15],[2,5,69],[2,6,91],[3,4,81],[3,5,54],[3,6,72],[4,5,86],[4,6,54],[5,6,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(0,6)=9,(2,4)=15,(5,6)=18,(0,4)=27,(1,2)=34,(0,3)=48,(2,3)=49,(0,2)=51,(3,5)=54,(4,6)=54,(1,5)=61,(2,5)=69,(3,6)=72,(3,4)=81,(1,4)=85,(4,5)=86,(2,6)=91,(1,6)=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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=18 Failed, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(4)=2, Add (0,4)=27 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=34 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=51 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=54 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=72 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,96],[0,4,81],[0,5,29],[1,2,65],[1,3,31],[2,3,58],[2,4,91],[2,5,3],[3,4,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,4,81],[0,5,29],[1,2,65],[1,3,31],[2,3,58],[2,4,91],[2,5,3],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,4,81],[0,5,29],[1,2,65],[1,3,31],[2,3,58],[2,4,91],[2,5,3],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,4,81],[0,5,29],[1,2,65],[1,3,31],[2,3,58],[2,4,91],[2,5,3],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (0,5)=29, w=32\",\"Add (1,3)=31, w=63\",\"Add (2,3)=58, w=121\",\"Add (0,4)=81, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,4,81],[0,5,29],[1,2,65],[1,3,31],[2,3,58],[2,4,91],[2,5,3],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (0,5)=29 Succeeded, w=32\",\"Add (1,3)=31 Succeeded, w=63\",\"Add (2,3)=58 Succeeded, w=121\",\"Add (1,2)=65 Failed, w=121\",\"Add (0,4)=81 Succeeded, w=202\",\"Add (3,4)=90 Failed, w=202\",\"Add (2,4)=91 Failed, w=202\",\"Add (0,2)=96 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,4,81],[0,5,29],[1,2,65],[1,3,31],[2,3,58],[2,4,91],[2,5,3],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,5)=29,(1,3)=31,(2,3)=58,(1,2)=65,(0,4)=81,(3,4)=90,(2,4)=91,(0,2)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=2, Add (0,5)=29 Succeeded, w=32\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=63\",\"Find(2)=2, Find(3)=1, Add (2,3)=58 Succeeded, w=121\",\"Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=121\",\"Find(0)=2, Find(4)=4, Add (0,4)=81 Succeeded, w=202\",\"Find(3)=2, Find(4)=2, Add (3,4)=90 Failed, w=202\",\"Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=202\",\"Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,4,81],[0,5,29],[1,2,65],[1,3,31],[2,3,58],[2,4,91],[2,5,3],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,5)=29,(1,3)=31,(2,3)=58,(1,2)=65,(0,4)=81,(3,4)=90,(2,4)=91,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=29 Succeeded, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(3)=1, Add (2,3)=58 Succeeded, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 4, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(4)=4, Add (0,4)=81 Succeeded, w=202\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=90 Failed, w=202\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=202\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,45],[0,2,73],[0,3,37],[0,4,41],[0,5,19],[0,6,53],[1,2,37],[1,4,63],[1,6,86],[2,4,14],[2,5,70],[2,6,95],[3,5,60],[3,6,57],[4,6,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,73],[0,3,37],[0,4,41],[0,5,19],[0,6,53],[1,2,37],[1,4,63],[1,6,86],[2,4,14],[2,5,70],[2,6,95],[3,5,60],[3,6,57],[4,6,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,73],[0,3,37],[0,4,41],[0,5,19],[0,6,53],[1,2,37],[1,4,63],[1,6,86],[2,4,14],[2,5,70],[2,6,95],[3,5,60],[3,6,57],[4,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,73],[0,3,37],[0,4,41],[0,5,19],[0,6,53],[1,2,37],[1,4,63],[1,6,86],[2,4,14],[2,5,70],[2,6,95],[3,5,60],[3,6,57],[4,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14, w=14\",\"Add (4,6)=18, w=32\",\"Add (0,5)=19, w=51\",\"Add (0,3)=37, w=88\",\"Add (1,2)=37, w=125\",\"Add (0,4)=41, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,73],[0,3,37],[0,4,41],[0,5,19],[0,6,53],[1,2,37],[1,4,63],[1,6,86],[2,4,14],[2,5,70],[2,6,95],[3,5,60],[3,6,57],[4,6,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14 Succeeded, w=14\",\"Add (4,6)=18 Succeeded, w=32\",\"Add (0,5)=19 Succeeded, w=51\",\"Add (0,3)=37 Succeeded, w=88\",\"Add (1,2)=37 Succeeded, w=125\",\"Add (0,4)=41 Succeeded, w=166\",\"Add (0,1)=45 Failed, w=166\",\"Add (0,6)=53 Failed, w=166\",\"Add (3,6)=57 Failed, w=166\",\"Add (3,5)=60 Failed, w=166\",\"Add (1,4)=63 Failed, w=166\",\"Add (2,5)=70 Failed, w=166\",\"Add (0,2)=73 Failed, w=166\",\"Add (1,6)=86 Failed, w=166\",\"Add (2,6)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,73],[0,3,37],[0,4,41],[0,5,19],[0,6,53],[1,2,37],[1,4,63],[1,6,86],[2,4,14],[2,5,70],[2,6,95],[3,5,60],[3,6,57],[4,6,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(4,6)=18,(0,5)=19,(0,3)=37,(1,2)=37,(0,4)=41,(0,1)=45,(0,6)=53,(3,6)=57,(3,5)=60,(1,4)=63,(2,5)=70,(0,2)=73,(1,6)=86,(2,6)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Find(4)=2, Find(6)=6, Add (4,6)=18 Succeeded, w=32\",\"Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=88\",\"Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=125\",\"Find(0)=0, Find(4)=2, Add (0,4)=41 Succeeded, w=166\",\"Find(0)=0, Find(1)=0, Add (0,1)=45 Failed, w=166\",\"Find(0)=0, Find(6)=0, Add (0,6)=53 Failed, w=166\",\"Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=166\",\"Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=166\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=166\",\"Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=166\",\"Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=166\",\"Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=166\",\"Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,73],[0,3,37],[0,4,41],[0,5,19],[0,6,53],[1,2,37],[1,4,63],[1,6,86],[2,4,14],[2,5,70],[2,6,95],[3,5,60],[3,6,57],[4,6,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(4,6)=18,(0,5)=19,(0,3)=37,(1,2)=37,(0,4)=41,(0,1)=45,(0,6)=53,(3,6)=57,(3,5)=60,(1,4)=63,(2,5)=70,(0,2)=73,(1,6)=86,(2,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2}, Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=88\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=125\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=41 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2}, Find(0)=0, Find(1)=0, Add (0,1)=45 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=53 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,2,74],[0,3,52],[1,2,13],[1,3,91],[1,4,52],[2,3,53],[2,4,80],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,74],[0,3,52],[1,2,13],[1,3,91],[1,4,52],[2,3,53],[2,4,80],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,74],[0,3,52],[1,2,13],[1,3,91],[1,4,52],[2,3,53],[2,4,80],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,74],[0,3,52],[1,2,13],[1,3,91],[1,4,52],[2,3,53],[2,4,80],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (1,2)=13, w=21\",\"Add (0,3)=52, w=73\",\"Add (1,4)=52, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,74],[0,3,52],[1,2,13],[1,3,91],[1,4,52],[2,3,53],[2,4,80],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (1,2)=13 Succeeded, w=21\",\"Add (0,3)=52 Succeeded, w=73\",\"Add (1,4)=52 Succeeded, w=125\",\"Add (2,3)=53 Failed, w=125\",\"Add (0,2)=74 Failed, w=125\",\"Add (2,4)=80 Failed, w=125\",\"Add (3,4)=83 Failed, w=125\",\"Add (1,3)=91 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,74],[0,3,52],[1,2,13],[1,3,91],[1,4,52],[2,3,53],[2,4,80],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(1,2)=13,(0,3)=52,(1,4)=52,(2,3)=53,(0,2)=74,(2,4)=80,(3,4)=83,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(1)=0, Find(2)=2, Add (1,2)=13 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=73\",\"Find(1)=0, Find(4)=4, Add (1,4)=52 Succeeded, w=125\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=125\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=125\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=125\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,74],[0,3,52],[1,2,13],[1,3,91],[1,4,52],[2,3,53],[2,4,80],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(1,2)=13,(0,3)=52,(1,4)=52,(2,3)=53,(0,2)=74,(2,4)=80,(3,4)=83,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=52 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,3],[0,3,95],[0,4,39],[1,2,50],[1,3,85],[2,3,51],[3,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,95],[0,4,39],[1,2,50],[1,3,85],[2,3,51],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,95],[0,4,39],[1,2,50],[1,3,85],[2,3,51],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,95],[0,4,39],[1,2,50],[1,3,85],[2,3,51],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (3,4)=5, w=8\",\"Add (0,4)=39, w=47\",\"Add (1,2)=50, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,3],[0,3,95],[0,4,39],[1,2,50],[1,3,85],[2,3,51],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (3,4)=5 Succeeded, w=8\",\"Add (0,4)=39 Succeeded, w=47\",\"Add (1,2)=50 Succeeded, w=97\",\"Add (2,3)=51 Failed, w=97\",\"Add (1,3)=85 Failed, w=97\",\"Add (0,3)=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],\"edges\":[[0,2,3],[0,3,95],[0,4,39],[1,2,50],[1,3,85],[2,3,51],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(3,4)=5,(0,4)=39,(1,2)=50,(2,3)=51,(1,3)=85,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=8\",\"Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=47\",\"Find(1)=1, Find(2)=0, Add (1,2)=50 Succeeded, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=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],\"edges\":[[0,2,3],[0,3,95],[0,4,39],[1,2,50],[1,3,85],[2,3,51],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(3,4)=5,(0,4)=39,(1,2)=50,(2,3)=51,(1,3)=85,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=1, Find(2)=0, Add (1,2)=50 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,24],[0,2,27],[0,3,10],[0,4,3],[0,5,7],[0,6,55],[1,2,56],[1,3,28],[1,4,27],[1,5,81],[1,6,6],[2,3,35],[2,4,91],[2,5,24],[2,6,17],[3,4,77],[3,5,52],[3,6,34],[4,5,24],[4,6,88],[5,6,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,27],[0,3,10],[0,4,3],[0,5,7],[0,6,55],[1,2,56],[1,3,28],[1,4,27],[1,5,81],[1,6,6],[2,3,35],[2,4,91],[2,5,24],[2,6,17],[3,4,77],[3,5,52],[3,6,34],[4,5,24],[4,6,88],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,27],[0,3,10],[0,4,3],[0,5,7],[0,6,55],[1,2,56],[1,3,28],[1,4,27],[1,5,81],[1,6,6],[2,3,35],[2,4,91],[2,5,24],[2,6,17],[3,4,77],[3,5,52],[3,6,34],[4,5,24],[4,6,88],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (0,1)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,27],[0,3,10],[0,4,3],[0,5,7],[0,6,55],[1,2,56],[1,3,28],[1,4,27],[1,5,81],[1,6,6],[2,3,35],[2,4,91],[2,5,24],[2,6,17],[3,4,77],[3,5,52],[3,6,34],[4,5,24],[4,6,88],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,6)=6, w=9\",\"Add (0,5)=7, w=16\",\"Add (0,3)=10, w=26\",\"Add (2,6)=17, w=43\",\"Add (0,1)=24, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,27],[0,3,10],[0,4,3],[0,5,7],[0,6,55],[1,2,56],[1,3,28],[1,4,27],[1,5,81],[1,6,6],[2,3,35],[2,4,91],[2,5,24],[2,6,17],[3,4,77],[3,5,52],[3,6,34],[4,5,24],[4,6,88],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,6)=6 Succeeded, w=9\",\"Add (0,5)=7 Succeeded, w=16\",\"Add (0,3)=10 Succeeded, w=26\",\"Add (2,6)=17 Succeeded, w=43\",\"Add (0,1)=24 Succeeded, w=67\",\"Add (2,5)=24 Failed, w=67\",\"Add (4,5)=24 Failed, w=67\",\"Add (0,2)=27 Failed, w=67\",\"Add (1,4)=27 Failed, w=67\",\"Add (1,3)=28 Failed, w=67\",\"Add (3,6)=34 Failed, w=67\",\"Add (2,3)=35 Failed, w=67\",\"Add (3,5)=52 Failed, w=67\",\"Add (0,6)=55 Failed, w=67\",\"Add (1,2)=56 Failed, w=67\",\"Add (5,6)=75 Failed, w=67\",\"Add (3,4)=77 Failed, w=67\",\"Add (1,5)=81 Failed, w=67\",\"Add (4,6)=88 Failed, w=67\",\"Add (2,4)=91 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,27],[0,3,10],[0,4,3],[0,5,7],[0,6,55],[1,2,56],[1,3,28],[1,4,27],[1,5,81],[1,6,6],[2,3,35],[2,4,91],[2,5,24],[2,6,17],[3,4,77],[3,5,52],[3,6,34],[4,5,24],[4,6,88],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,6)=6,(0,5)=7,(0,3)=10,(2,6)=17,(0,1)=24,(2,5)=24,(4,5)=24,(0,2)=27,(1,4)=27,(1,3)=28,(3,6)=34,(2,3)=35,(3,5)=52,(0,6)=55,(1,2)=56,(5,6)=75,(3,4)=77,(1,5)=81,(4,6)=88,(2,4)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=9\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=26\",\"Find(2)=2, Find(6)=1, Add (2,6)=17 Succeeded, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=67\",\"Find(2)=0, Find(5)=0, Add (2,5)=24 Failed, w=67\",\"Find(4)=0, Find(5)=0, Add (4,5)=24 Failed, w=67\",\"Find(0)=0, Find(2)=0, Add (0,2)=27 Failed, w=67\",\"Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=67\",\"Find(1)=0, Find(3)=0, Add (1,3)=28 Failed, w=67\",\"Find(3)=0, Find(6)=0, Add (3,6)=34 Failed, w=67\",\"Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=67\",\"Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=67\",\"Find(0)=0, Find(6)=0, Add (0,6)=55 Failed, w=67\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=67\",\"Find(5)=0, Find(6)=0, Add (5,6)=75 Failed, w=67\",\"Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=67\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=67\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=67\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,27],[0,3,10],[0,4,3],[0,5,7],[0,6,55],[1,2,56],[1,3,28],[1,4,27],[1,5,81],[1,6,6],[2,3,35],[2,4,91],[2,5,24],[2,6,17],[3,4,77],[3,5,52],[3,6,34],[4,5,24],[4,6,88],[5,6,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,6)=6,(0,5)=7,(0,3)=10,(2,6)=17,(0,1)=24,(2,5)=24,(4,5)=24,(0,2)=27,(1,4)=27,(1,3)=28,(3,6)=34,(2,3)=35,(3,5)=52,(0,6)=55,(1,2)=56,(5,6)=75,(3,4)=77,(1,5)=81,(4,6)=88,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=17 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(5)=0, Add (2,5)=24 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(4)=0, Find(5)=0, Add (4,5)=24 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(2)=0, Add (0,2)=27 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(3)=0, Add (1,3)=28 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=34 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=55 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=75 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,28],[0,3,79],[1,3,26],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,3,79],[1,3,26],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,3,79],[1,3,26],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,3,79],[1,3,26],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=26, w=26\",\"Add (0,1)=28, w=54\",\"Add (2,3)=45, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,3,79],[1,3,26],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=26 Succeeded, w=26\",\"Add (0,1)=28 Succeeded, w=54\",\"Add (2,3)=45 Succeeded, w=99\",\"Add (0,3)=79 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,3,79],[1,3,26],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=26,(0,1)=28,(2,3)=45,(0,3)=79]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=26\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=54\",\"Find(2)=2, Find(3)=1, Add (2,3)=45 Succeeded, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,3,79],[1,3,26],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=26,(0,1)=28,(2,3)=45,(0,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=45 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,89],[0,3,21],[1,3,77],[2,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,89],[0,3,21],[1,3,77],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,89],[0,3,21],[1,3,77],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,89],[0,3,21],[1,3,77],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=21, w=21\",\"Add (2,3)=52, w=73\",\"Add (1,3)=77, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,89],[0,3,21],[1,3,77],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=21 Succeeded, w=21\",\"Add (2,3)=52 Succeeded, w=73\",\"Add (1,3)=77 Succeeded, w=150\",\"Add (0,2)=89 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,89],[0,3,21],[1,3,77],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=21,(2,3)=52,(1,3)=77,(0,2)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=21\",\"Find(2)=2, Find(3)=0, Add (2,3)=52 Succeeded, w=73\",\"Find(1)=1, Find(3)=0, Add (1,3)=77 Succeeded, w=150\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,89],[0,3,21],[1,3,77],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=21,(2,3)=52,(1,3)=77,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=52 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=77 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,38],[0,3,19],[0,4,2],[0,5,29],[0,6,77],[0,7,53],[1,2,90],[1,3,57],[1,4,75],[1,6,35],[1,7,53],[2,3,12],[2,4,13],[2,6,45],[2,7,37],[3,5,27],[3,6,91],[4,5,89],[4,6,98],[4,7,83],[5,6,99],[5,7,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,3,19],[0,4,2],[0,5,29],[0,6,77],[0,7,53],[1,2,90],[1,3,57],[1,4,75],[1,6,35],[1,7,53],[2,3,12],[2,4,13],[2,6,45],[2,7,37],[3,5,27],[3,6,91],[4,5,89],[4,6,98],[4,7,83],[5,6,99],[5,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,3,19],[0,4,2],[0,5,29],[0,6,77],[0,7,53],[1,2,90],[1,3,57],[1,4,75],[1,6,35],[1,7,53],[2,3,12],[2,4,13],[2,6,45],[2,7,37],[3,5,27],[3,6,91],[4,5,89],[4,6,98],[4,7,83],[5,6,99],[5,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (2,6)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,3,19],[0,4,2],[0,5,29],[0,6,77],[0,7,53],[1,2,90],[1,3,57],[1,4,75],[1,6,35],[1,7,53],[2,3,12],[2,4,13],[2,6,45],[2,7,37],[3,5,27],[3,6,91],[4,5,89],[4,6,98],[4,7,83],[5,6,99],[5,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (2,3)=12, w=14\",\"Add (2,4)=13, w=27\",\"Add (3,5)=27, w=54\",\"Add (1,6)=35, w=89\",\"Add (2,7)=37, w=126\",\"Add (2,6)=45, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,3,19],[0,4,2],[0,5,29],[0,6,77],[0,7,53],[1,2,90],[1,3,57],[1,4,75],[1,6,35],[1,7,53],[2,3,12],[2,4,13],[2,6,45],[2,7,37],[3,5,27],[3,6,91],[4,5,89],[4,6,98],[4,7,83],[5,6,99],[5,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (2,3)=12 Succeeded, w=14\",\"Add (2,4)=13 Succeeded, w=27\",\"Add (0,3)=19 Failed, w=27\",\"Add (3,5)=27 Succeeded, w=54\",\"Add (0,5)=29 Failed, w=54\",\"Add (1,6)=35 Succeeded, w=89\",\"Add (2,7)=37 Succeeded, w=126\",\"Add (0,2)=38 Failed, w=126\",\"Add (2,6)=45 Succeeded, w=171\",\"Add (0,7)=53 Failed, w=171\",\"Add (1,7)=53 Failed, w=171\",\"Add (1,3)=57 Failed, w=171\",\"Add (1,4)=75 Failed, w=171\",\"Add (0,6)=77 Failed, w=171\",\"Add (5,7)=79 Failed, w=171\",\"Add (4,7)=83 Failed, w=171\",\"Add (4,5)=89 Failed, w=171\",\"Add (1,2)=90 Failed, w=171\",\"Add (3,6)=91 Failed, w=171\",\"Add (4,6)=98 Failed, w=171\",\"Add (5,6)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,3,19],[0,4,2],[0,5,29],[0,6,77],[0,7,53],[1,2,90],[1,3,57],[1,4,75],[1,6,35],[1,7,53],[2,3,12],[2,4,13],[2,6,45],[2,7,37],[3,5,27],[3,6,91],[4,5,89],[4,6,98],[4,7,83],[5,6,99],[5,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(2,3)=12,(2,4)=13,(0,3)=19,(3,5)=27,(0,5)=29,(1,6)=35,(2,7)=37,(0,2)=38,(2,6)=45,(0,7)=53,(1,7)=53,(1,3)=57,(1,4)=75,(0,6)=77,(5,7)=79,(4,7)=83,(4,5)=89,(1,2)=90,(3,6)=91,(4,6)=98,(5,6)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=14\",\"Find(2)=2, Find(4)=0, Add (2,4)=13 Succeeded, w=27\",\"Find(0)=2, Find(3)=2, Add (0,3)=19 Failed, w=27\",\"Find(3)=2, Find(5)=5, Add (3,5)=27 Succeeded, w=54\",\"Find(0)=2, Find(5)=2, Add (0,5)=29 Failed, w=54\",\"Find(1)=1, Find(6)=6, Add (1,6)=35 Succeeded, w=89\",\"Find(2)=2, Find(7)=7, Add (2,7)=37 Succeeded, w=126\",\"Find(0)=2, Find(2)=2, Add (0,2)=38 Failed, w=126\",\"Find(2)=2, Find(6)=1, Add (2,6)=45 Succeeded, w=171\",\"Find(0)=2, Find(7)=2, Add (0,7)=53 Failed, w=171\",\"Find(1)=2, Find(7)=2, Add (1,7)=53 Failed, w=171\",\"Find(1)=2, Find(3)=2, Add (1,3)=57 Failed, w=171\",\"Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=171\",\"Find(0)=2, Find(6)=2, Add (0,6)=77 Failed, w=171\",\"Find(5)=2, Find(7)=2, Add (5,7)=79 Failed, w=171\",\"Find(4)=2, Find(7)=2, Add (4,7)=83 Failed, w=171\",\"Find(4)=2, Find(5)=2, Add (4,5)=89 Failed, w=171\",\"Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=171\",\"Find(3)=2, Find(6)=2, Add (3,6)=91 Failed, w=171\",\"Find(4)=2, Find(6)=2, Add (4,6)=98 Failed, w=171\",\"Find(5)=2, Find(6)=2, Add (5,6)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,38],[0,3,19],[0,4,2],[0,5,29],[0,6,77],[0,7,53],[1,2,90],[1,3,57],[1,4,75],[1,6,35],[1,7,53],[2,3,12],[2,4,13],[2,6,45],[2,7,37],[3,5,27],[3,6,91],[4,5,89],[4,6,98],[4,7,83],[5,6,99],[5,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(2,3)=12,(2,4)=13,(0,3)=19,(3,5)=27,(0,5)=29,(1,6)=35,(2,7)=37,(0,2)=38,(2,6)=45,(0,7)=53,(1,7)=53,(1,3)=57,(1,4)=75,(0,6)=77,(5,7)=79,(4,7)=83,(4,5)=89,(1,2)=90,(3,6)=91,(4,6)=98,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=13 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=2, Find(3)=2, Add (0,3)=19 Failed, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=5, Add (3,5)=27 Succeeded, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 7}, Find(0)=2, Find(5)=2, Add (0,5)=29 Failed, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=35 Succeeded, w=89\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=37 Succeeded, w=126\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=38 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(2)=2, Find(6)=1, Add (2,6)=45 Succeeded, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=53 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=53 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=57 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=75 Failed, w=171\",\"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)=77 Failed, w=171\",\"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)=79 Failed, w=171\",\"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)=83 Failed, w=171\",\"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)=89 Failed, w=171\",\"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)=90 Failed, w=171\",\"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)=91 Failed, w=171\",\"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)=98 Failed, w=171\",\"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)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,3,25],[0,4,23],[1,2,84],[1,4,83],[2,3,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,25],[0,4,23],[1,2,84],[1,4,83],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,25],[0,4,23],[1,2,84],[1,4,83],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,25],[0,4,23],[1,2,84],[1,4,83],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=23, w=23\",\"Add (0,3)=25, w=48\",\"Add (2,3)=40, w=88\",\"Add (1,4)=83, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,25],[0,4,23],[1,2,84],[1,4,83],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=23 Succeeded, w=23\",\"Add (0,3)=25 Succeeded, w=48\",\"Add (2,3)=40 Succeeded, w=88\",\"Add (1,4)=83 Succeeded, w=171\",\"Add (1,2)=84 Failed, w=171\",\"Add (0,1)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,25],[0,4,23],[1,2,84],[1,4,83],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=23,(0,3)=25,(2,3)=40,(1,4)=83,(1,2)=84,(0,1)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=48\",\"Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=88\",\"Find(1)=1, Find(4)=0, Add (1,4)=83 Succeeded, w=171\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=171\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,25],[0,4,23],[1,2,84],[1,4,83],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=23,(0,3)=25,(2,3)=40,(1,4)=83,(1,2)=84,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=83 Succeeded, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,16],[0,3,37],[0,4,51],[0,5,31],[0,6,38],[0,7,5],[1,2,62],[1,3,18],[1,5,19],[1,6,71],[2,3,87],[2,5,35],[2,6,63],[2,7,3],[3,4,100],[3,5,36],[3,6,66],[4,5,8],[4,6,44],[4,7,29],[5,6,76],[5,7,53],[6,7,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,3,37],[0,4,51],[0,5,31],[0,6,38],[0,7,5],[1,2,62],[1,3,18],[1,5,19],[1,6,71],[2,3,87],[2,5,35],[2,6,63],[2,7,3],[3,4,100],[3,5,36],[3,6,66],[4,5,8],[4,6,44],[4,7,29],[5,6,76],[5,7,53],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,3,37],[0,4,51],[0,5,31],[0,6,38],[0,7,5],[1,2,62],[1,3,18],[1,5,19],[1,6,71],[2,3,87],[2,5,35],[2,6,63],[2,7,3],[3,4,100],[3,5,36],[3,6,66],[4,5,8],[4,6,44],[4,7,29],[5,6,76],[5,7,53],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (6,7)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,3,37],[0,4,51],[0,5,31],[0,6,38],[0,7,5],[1,2,62],[1,3,18],[1,5,19],[1,6,71],[2,3,87],[2,5,35],[2,6,63],[2,7,3],[3,4,100],[3,5,36],[3,6,66],[4,5,8],[4,6,44],[4,7,29],[5,6,76],[5,7,53],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=3, w=3\",\"Add (0,7)=5, w=8\",\"Add (4,5)=8, w=16\",\"Add (0,1)=16, w=32\",\"Add (1,3)=18, w=50\",\"Add (1,5)=19, w=69\",\"Add (6,7)=36, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,3,37],[0,4,51],[0,5,31],[0,6,38],[0,7,5],[1,2,62],[1,3,18],[1,5,19],[1,6,71],[2,3,87],[2,5,35],[2,6,63],[2,7,3],[3,4,100],[3,5,36],[3,6,66],[4,5,8],[4,6,44],[4,7,29],[5,6,76],[5,7,53],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=3 Succeeded, w=3\",\"Add (0,7)=5 Succeeded, w=8\",\"Add (4,5)=8 Succeeded, w=16\",\"Add (0,1)=16 Succeeded, w=32\",\"Add (1,3)=18 Succeeded, w=50\",\"Add (1,5)=19 Succeeded, w=69\",\"Add (4,7)=29 Failed, w=69\",\"Add (0,5)=31 Failed, w=69\",\"Add (2,5)=35 Failed, w=69\",\"Add (3,5)=36 Failed, w=69\",\"Add (6,7)=36 Succeeded, w=105\",\"Add (0,3)=37 Failed, w=105\",\"Add (0,6)=38 Failed, w=105\",\"Add (4,6)=44 Failed, w=105\",\"Add (0,4)=51 Failed, w=105\",\"Add (5,7)=53 Failed, w=105\",\"Add (1,2)=62 Failed, w=105\",\"Add (2,6)=63 Failed, w=105\",\"Add (3,6)=66 Failed, w=105\",\"Add (1,6)=71 Failed, w=105\",\"Add (5,6)=76 Failed, w=105\",\"Add (2,3)=87 Failed, w=105\",\"Add (3,4)=100 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,3,37],[0,4,51],[0,5,31],[0,6,38],[0,7,5],[1,2,62],[1,3,18],[1,5,19],[1,6,71],[2,3,87],[2,5,35],[2,6,63],[2,7,3],[3,4,100],[3,5,36],[3,6,66],[4,5,8],[4,6,44],[4,7,29],[5,6,76],[5,7,53],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=3,(0,7)=5,(4,5)=8,(0,1)=16,(1,3)=18,(1,5)=19,(4,7)=29,(0,5)=31,(2,5)=35,(3,5)=36,(6,7)=36,(0,3)=37,(0,6)=38,(4,6)=44,(0,4)=51,(5,7)=53,(1,2)=62,(2,6)=63,(3,6)=66,(1,6)=71,(5,6)=76,(2,3)=87,(3,4)=100]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=3 Succeeded, w=3\",\"Find(0)=0, Find(7)=2, Add (0,7)=5 Succeeded, w=8\",\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=16\",\"Find(0)=2, Find(1)=1, Add (0,1)=16 Succeeded, w=32\",\"Find(1)=2, Find(3)=3, Add (1,3)=18 Succeeded, w=50\",\"Find(1)=2, Find(5)=4, Add (1,5)=19 Succeeded, w=69\",\"Find(4)=2, Find(7)=2, Add (4,7)=29 Failed, w=69\",\"Find(0)=2, Find(5)=2, Add (0,5)=31 Failed, w=69\",\"Find(2)=2, Find(5)=2, Add (2,5)=35 Failed, w=69\",\"Find(3)=2, Find(5)=2, Add (3,5)=36 Failed, w=69\",\"Find(6)=6, Find(7)=2, Add (6,7)=36 Succeeded, w=105\",\"Find(0)=2, Find(3)=2, Add (0,3)=37 Failed, w=105\",\"Find(0)=2, Find(6)=2, Add (0,6)=38 Failed, w=105\",\"Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=105\",\"Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=105\",\"Find(5)=2, Find(7)=2, Add (5,7)=53 Failed, w=105\",\"Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=105\",\"Find(2)=2, Find(6)=2, Add (2,6)=63 Failed, w=105\",\"Find(3)=2, Find(6)=2, Add (3,6)=66 Failed, w=105\",\"Find(1)=2, Find(6)=2, Add (1,6)=71 Failed, w=105\",\"Find(5)=2, Find(6)=2, Add (5,6)=76 Failed, w=105\",\"Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=105\",\"Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,3,37],[0,4,51],[0,5,31],[0,6,38],[0,7,5],[1,2,62],[1,3,18],[1,5,19],[1,6,71],[2,3,87],[2,5,35],[2,6,63],[2,7,3],[3,4,100],[3,5,36],[3,6,66],[4,5,8],[4,6,44],[4,7,29],[5,6,76],[5,7,53],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=3,(0,7)=5,(4,5)=8,(0,1)=16,(1,3)=18,(1,5)=19,(4,7)=29,(0,5)=31,(2,5)=35,(3,5)=36,(6,7)=36,(0,3)=37,(0,6)=38,(4,6)=44,(0,4)=51,(5,7)=53,(1,2)=62,(2,6)=63,(3,6)=66,(1,6)=71,(5,6)=76,(2,3)=87,(3,4)=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)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=5 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 2}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 2}, Find(0)=2, Find(1)=1, Add (0,1)=16 Succeeded, w=32\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 2}, Find(1)=2, Find(3)=3, Add (1,3)=18 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 2}, Find(1)=2, Find(5)=4, Add (1,5)=19 Succeeded, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=29 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=31 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=35 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=36 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=36 Succeeded, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=37 Failed, w=105\",\"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)=38 Failed, w=105\",\"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)=44 Failed, w=105\",\"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)=51 Failed, w=105\",\"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)=53 Failed, w=105\",\"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)=62 Failed, w=105\",\"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)=63 Failed, w=105\",\"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)=66 Failed, w=105\",\"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)=71 Failed, w=105\",\"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)=76 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=105\",\"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)=100 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,35],[0,2,20],[0,3,32],[0,4,6],[1,4,29],[2,3,38],[2,4,97],[3,4,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,20],[0,3,32],[0,4,6],[1,4,29],[2,3,38],[2,4,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,20],[0,3,32],[0,4,6],[1,4,29],[2,3,38],[2,4,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,20],[0,3,32],[0,4,6],[1,4,29],[2,3,38],[2,4,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (0,2)=20, w=26\",\"Add (1,4)=29, w=55\",\"Add (0,3)=32, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,20],[0,3,32],[0,4,6],[1,4,29],[2,3,38],[2,4,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (0,2)=20 Succeeded, w=26\",\"Add (1,4)=29 Succeeded, w=55\",\"Add (0,3)=32 Succeeded, w=87\",\"Add (0,1)=35 Failed, w=87\",\"Add (2,3)=38 Failed, w=87\",\"Add (2,4)=97 Failed, w=87\",\"Add (3,4)=98 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,20],[0,3,32],[0,4,6],[1,4,29],[2,3,38],[2,4,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(0,2)=20,(1,4)=29,(0,3)=32,(0,1)=35,(2,3)=38,(2,4)=97,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=26\",\"Find(1)=1, Find(4)=0, Add (1,4)=29 Succeeded, w=55\",\"Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=87\",\"Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=87\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=87\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,20],[0,3,32],[0,4,6],[1,4,29],[2,3,38],[2,4,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(0,2)=20,(1,4)=29,(0,3)=32,(0,1)=35,(2,3)=38,(2,4)=97,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=29 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,93],[0,2,90],[0,3,16],[0,4,10],[0,5,91],[0,6,71],[0,7,82],[1,2,18],[1,3,1],[1,5,62],[1,6,8],[1,7,71],[2,3,66],[2,4,81],[2,5,1],[2,6,35],[2,7,49],[3,4,53],[3,5,28],[3,6,14],[3,7,92],[4,5,43],[4,6,76],[4,7,20],[5,6,69],[6,7,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,90],[0,3,16],[0,4,10],[0,5,91],[0,6,71],[0,7,82],[1,2,18],[1,3,1],[1,5,62],[1,6,8],[1,7,71],[2,3,66],[2,4,81],[2,5,1],[2,6,35],[2,7,49],[3,4,53],[3,5,28],[3,6,14],[3,7,92],[4,5,43],[4,6,76],[4,7,20],[5,6,69],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,90],[0,3,16],[0,4,10],[0,5,91],[0,6,71],[0,7,82],[1,2,18],[1,3,1],[1,5,62],[1,6,8],[1,7,71],[2,3,66],[2,4,81],[2,5,1],[2,6,35],[2,7,49],[3,4,53],[3,5,28],[3,6,14],[3,7,92],[4,5,43],[4,6,76],[4,7,20],[5,6,69],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (4,7)\"],\"Answer\":74}",
"role": "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],[0,2,90],[0,3,16],[0,4,10],[0,5,91],[0,6,71],[0,7,82],[1,2,18],[1,3,1],[1,5,62],[1,6,8],[1,7,71],[2,3,66],[2,4,81],[2,5,1],[2,6,35],[2,7,49],[3,4,53],[3,5,28],[3,6,14],[3,7,92],[4,5,43],[4,6,76],[4,7,20],[5,6,69],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (2,5)=1, w=2\",\"Add (1,6)=8, w=10\",\"Add (0,4)=10, w=20\",\"Add (0,3)=16, w=36\",\"Add (1,2)=18, w=54\",\"Add (4,7)=20, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,90],[0,3,16],[0,4,10],[0,5,91],[0,6,71],[0,7,82],[1,2,18],[1,3,1],[1,5,62],[1,6,8],[1,7,71],[2,3,66],[2,4,81],[2,5,1],[2,6,35],[2,7,49],[3,4,53],[3,5,28],[3,6,14],[3,7,92],[4,5,43],[4,6,76],[4,7,20],[5,6,69],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (2,5)=1 Succeeded, w=2\",\"Add (1,6)=8 Succeeded, w=10\",\"Add (0,4)=10 Succeeded, w=20\",\"Add (3,6)=14 Failed, w=20\",\"Add (0,3)=16 Succeeded, w=36\",\"Add (1,2)=18 Succeeded, w=54\",\"Add (4,7)=20 Succeeded, w=74\",\"Add (3,5)=28 Failed, w=74\",\"Add (2,6)=35 Failed, w=74\",\"Add (4,5)=43 Failed, w=74\",\"Add (2,7)=49 Failed, w=74\",\"Add (3,4)=53 Failed, w=74\",\"Add (1,5)=62 Failed, w=74\",\"Add (6,7)=62 Failed, w=74\",\"Add (2,3)=66 Failed, w=74\",\"Add (5,6)=69 Failed, w=74\",\"Add (0,6)=71 Failed, w=74\",\"Add (1,7)=71 Failed, w=74\",\"Add (4,6)=76 Failed, w=74\",\"Add (2,4)=81 Failed, w=74\",\"Add (0,7)=82 Failed, w=74\",\"Add (0,2)=90 Failed, w=74\",\"Add (0,5)=91 Failed, w=74\",\"Add (3,7)=92 Failed, w=74\",\"Add (0,1)=93 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,90],[0,3,16],[0,4,10],[0,5,91],[0,6,71],[0,7,82],[1,2,18],[1,3,1],[1,5,62],[1,6,8],[1,7,71],[2,3,66],[2,4,81],[2,5,1],[2,6,35],[2,7,49],[3,4,53],[3,5,28],[3,6,14],[3,7,92],[4,5,43],[4,6,76],[4,7,20],[5,6,69],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(2,5)=1,(1,6)=8,(0,4)=10,(3,6)=14,(0,3)=16,(1,2)=18,(4,7)=20,(3,5)=28,(2,6)=35,(4,5)=43,(2,7)=49,(3,4)=53,(1,5)=62,(6,7)=62,(2,3)=66,(5,6)=69,(0,6)=71,(1,7)=71,(4,6)=76,(2,4)=81,(0,7)=82,(0,2)=90,(0,5)=91,(3,7)=92,(0,1)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=2\",\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=20\",\"Find(3)=1, Find(6)=1, Add (3,6)=14 Failed, w=20\",\"Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=36\",\"Find(1)=0, Find(2)=2, Add (1,2)=18 Succeeded, w=54\",\"Find(4)=0, Find(7)=7, Add (4,7)=20 Succeeded, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=74\",\"Find(2)=0, Find(6)=0, Add (2,6)=35 Failed, w=74\",\"Find(4)=0, Find(5)=0, Add (4,5)=43 Failed, w=74\",\"Find(2)=0, Find(7)=0, Add (2,7)=49 Failed, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=74\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=74\",\"Find(6)=0, Find(7)=0, Add (6,7)=62 Failed, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=74\",\"Find(5)=0, Find(6)=0, Add (5,6)=69 Failed, w=74\",\"Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=74\",\"Find(1)=0, Find(7)=0, Add (1,7)=71 Failed, w=74\",\"Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=74\",\"Find(0)=0, Find(7)=0, Add (0,7)=82 Failed, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=74\",\"Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=74\",\"Find(3)=0, Find(7)=0, Add (3,7)=92 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,90],[0,3,16],[0,4,10],[0,5,91],[0,6,71],[0,7,82],[1,2,18],[1,3,1],[1,5,62],[1,6,8],[1,7,71],[2,3,66],[2,4,81],[2,5,1],[2,6,35],[2,7,49],[3,4,53],[3,5,28],[3,6,14],[3,7,92],[4,5,43],[4,6,76],[4,7,20],[5,6,69],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(2,5)=1,(1,6)=8,(0,4)=10,(3,6)=14,(0,3)=16,(1,2)=18,(4,7)=20,(3,5)=28,(2,6)=35,(4,5)=43,(2,7)=49,(3,4)=53,(1,5)=62,(6,7)=62,(2,3)=66,(5,6)=69,(0,6)=71,(1,7)=71,(4,6)=76,(2,4)=81,(0,7)=82,(0,2)=90,(0,5)=91,(3,7)=92,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 2, 6: 1, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 2, 6: 1, 7: 7}, Find(3)=1, Find(6)=1, Add (3,6)=14 Failed, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 2, 6: 1, 7: 7}, Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2, 6: 1, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=18 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2, 6: 1, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=20 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=74\",\"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)=35 Failed, w=74\",\"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)=43 Failed, w=74\",\"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)=49 Failed, w=74\",\"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)=53 Failed, w=74\",\"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)=62 Failed, w=74\",\"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)=62 Failed, w=74\",\"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)=66 Failed, w=74\",\"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)=69 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=74\",\"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)=71 Failed, w=74\",\"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)=76 Failed, w=74\",\"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)=81 Failed, w=74\",\"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)=82 Failed, w=74\",\"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)=90 Failed, w=74\",\"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=74\",\"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)=92 Failed, w=74\",\"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)=93 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,67],[0,3,80],[1,2,75],[1,4,4],[2,3,86],[2,4,97],[3,4,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,80],[1,2,75],[1,4,4],[2,3,86],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,80],[1,2,75],[1,4,4],[2,3,86],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,80],[1,2,75],[1,4,4],[2,3,86],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (3,4)=30, w=34\",\"Add (0,2)=67, w=101\",\"Add (1,2)=75, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,80],[1,2,75],[1,4,4],[2,3,86],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (3,4)=30 Succeeded, w=34\",\"Add (0,2)=67 Succeeded, w=101\",\"Add (1,2)=75 Succeeded, w=176\",\"Add (0,3)=80 Failed, w=176\",\"Add (2,3)=86 Failed, w=176\",\"Add (2,4)=97 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,80],[1,2,75],[1,4,4],[2,3,86],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(3,4)=30,(0,2)=67,(1,2)=75,(0,3)=80,(2,3)=86,(2,4)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(3)=3, Find(4)=1, Add (3,4)=30 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=67 Succeeded, w=101\",\"Find(1)=1, Find(2)=0, Add (1,2)=75 Succeeded, w=176\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=176\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=176\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,80],[1,2,75],[1,4,4],[2,3,86],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(3,4)=30,(0,2)=67,(1,2)=75,(0,3)=80,(2,3)=86,(2,4)=97]\",\"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: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=30 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=67 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(1)=1, Find(2)=0, Add (1,2)=75 Succeeded, w=176\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,87],[0,2,15],[0,3,82],[0,4,91],[0,5,92],[0,6,85],[0,7,90],[1,2,62],[1,3,55],[1,4,72],[1,5,71],[1,6,95],[1,7,63],[2,3,65],[2,5,61],[2,7,84],[3,4,54],[3,5,64],[3,6,12],[3,7,77],[4,5,59],[4,6,90],[4,7,46],[5,6,83],[5,7,54],[6,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,15],[0,3,82],[0,4,91],[0,5,92],[0,6,85],[0,7,90],[1,2,62],[1,3,55],[1,4,72],[1,5,71],[1,6,95],[1,7,63],[2,3,65],[2,5,61],[2,7,84],[3,4,54],[3,5,64],[3,6,12],[3,7,77],[4,5,59],[4,6,90],[4,7,46],[5,6,83],[5,7,54],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,15],[0,3,82],[0,4,91],[0,5,92],[0,6,85],[0,7,90],[1,2,62],[1,3,55],[1,4,72],[1,5,71],[1,6,95],[1,7,63],[2,3,65],[2,5,61],[2,7,84],[3,4,54],[3,5,64],[3,6,12],[3,7,77],[4,5,59],[4,6,90],[4,7,46],[5,6,83],[5,7,54],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (3,4)\",\"Add (5,7)\",\"Add (1,3)\",\"Add (2,5)\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,15],[0,3,82],[0,4,91],[0,5,92],[0,6,85],[0,7,90],[1,2,62],[1,3,55],[1,4,72],[1,5,71],[1,6,95],[1,7,63],[2,3,65],[2,5,61],[2,7,84],[3,4,54],[3,5,64],[3,6,12],[3,7,77],[4,5,59],[4,6,90],[4,7,46],[5,6,83],[5,7,54],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=12, w=12\",\"Add (0,2)=15, w=27\",\"Add (4,7)=46, w=73\",\"Add (3,4)=54, w=127\",\"Add (5,7)=54, w=181\",\"Add (1,3)=55, w=236\",\"Add (2,5)=61, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,15],[0,3,82],[0,4,91],[0,5,92],[0,6,85],[0,7,90],[1,2,62],[1,3,55],[1,4,72],[1,5,71],[1,6,95],[1,7,63],[2,3,65],[2,5,61],[2,7,84],[3,4,54],[3,5,64],[3,6,12],[3,7,77],[4,5,59],[4,6,90],[4,7,46],[5,6,83],[5,7,54],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=12 Succeeded, w=12\",\"Add (0,2)=15 Succeeded, w=27\",\"Add (4,7)=46 Succeeded, w=73\",\"Add (3,4)=54 Succeeded, w=127\",\"Add (5,7)=54 Succeeded, w=181\",\"Add (1,3)=55 Succeeded, w=236\",\"Add (4,5)=59 Failed, w=236\",\"Add (2,5)=61 Succeeded, w=297\",\"Add (1,2)=62 Failed, w=297\",\"Add (1,7)=63 Failed, w=297\",\"Add (3,5)=64 Failed, w=297\",\"Add (2,3)=65 Failed, w=297\",\"Add (1,5)=71 Failed, w=297\",\"Add (1,4)=72 Failed, w=297\",\"Add (3,7)=77 Failed, w=297\",\"Add (0,3)=82 Failed, w=297\",\"Add (5,6)=83 Failed, w=297\",\"Add (2,7)=84 Failed, w=297\",\"Add (0,6)=85 Failed, w=297\",\"Add (0,1)=87 Failed, w=297\",\"Add (0,7)=90 Failed, w=297\",\"Add (4,6)=90 Failed, w=297\",\"Add (0,4)=91 Failed, w=297\",\"Add (0,5)=92 Failed, w=297\",\"Add (6,7)=92 Failed, w=297\",\"Add (1,6)=95 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,15],[0,3,82],[0,4,91],[0,5,92],[0,6,85],[0,7,90],[1,2,62],[1,3,55],[1,4,72],[1,5,71],[1,6,95],[1,7,63],[2,3,65],[2,5,61],[2,7,84],[3,4,54],[3,5,64],[3,6,12],[3,7,77],[4,5,59],[4,6,90],[4,7,46],[5,6,83],[5,7,54],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=12,(0,2)=15,(4,7)=46,(3,4)=54,(5,7)=54,(1,3)=55,(4,5)=59,(2,5)=61,(1,2)=62,(1,7)=63,(3,5)=64,(2,3)=65,(1,5)=71,(1,4)=72,(3,7)=77,(0,3)=82,(5,6)=83,(2,7)=84,(0,6)=85,(0,1)=87,(0,7)=90,(4,6)=90,(0,4)=91,(0,5)=92,(6,7)=92,(1,6)=95]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=27\",\"Find(4)=4, Find(7)=7, Add (4,7)=46 Succeeded, w=73\",\"Find(3)=3, Find(4)=4, Add (3,4)=54 Succeeded, w=127\",\"Find(5)=5, Find(7)=3, Add (5,7)=54 Succeeded, w=181\",\"Find(1)=1, Find(3)=3, Add (1,3)=55 Succeeded, w=236\",\"Find(4)=3, Find(5)=3, Add (4,5)=59 Failed, w=236\",\"Find(2)=0, Find(5)=3, Add (2,5)=61 Succeeded, w=297\",\"Find(1)=3, Find(2)=3, Add (1,2)=62 Failed, w=297\",\"Find(1)=3, Find(7)=3, Add (1,7)=63 Failed, w=297\",\"Find(3)=3, Find(5)=3, Add (3,5)=64 Failed, w=297\",\"Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=297\",\"Find(1)=3, Find(5)=3, Add (1,5)=71 Failed, w=297\",\"Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=297\",\"Find(3)=3, Find(7)=3, Add (3,7)=77 Failed, w=297\",\"Find(0)=3, Find(3)=3, Add (0,3)=82 Failed, w=297\",\"Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=297\",\"Find(2)=3, Find(7)=3, Add (2,7)=84 Failed, w=297\",\"Find(0)=3, Find(6)=3, Add (0,6)=85 Failed, w=297\",\"Find(0)=3, Find(1)=3, Add (0,1)=87 Failed, w=297\",\"Find(0)=3, Find(7)=3, Add (0,7)=90 Failed, w=297\",\"Find(4)=3, Find(6)=3, Add (4,6)=90 Failed, w=297\",\"Find(0)=3, Find(4)=3, Add (0,4)=91 Failed, w=297\",\"Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=297\",\"Find(6)=3, Find(7)=3, Add (6,7)=92 Failed, w=297\",\"Find(1)=3, Find(6)=3, Add (1,6)=95 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,15],[0,3,82],[0,4,91],[0,5,92],[0,6,85],[0,7,90],[1,2,62],[1,3,55],[1,4,72],[1,5,71],[1,6,95],[1,7,63],[2,3,65],[2,5,61],[2,7,84],[3,4,54],[3,5,64],[3,6,12],[3,7,77],[4,5,59],[4,6,90],[4,7,46],[5,6,83],[5,7,54],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=12,(0,2)=15,(4,7)=46,(3,4)=54,(5,7)=54,(1,3)=55,(4,5)=59,(2,5)=61,(1,2)=62,(1,7)=63,(3,5)=64,(2,3)=65,(1,5)=71,(1,4)=72,(3,7)=77,(0,3)=82,(5,6)=83,(2,7)=84,(0,6)=85,(0,1)=87,(0,7)=90,(4,6)=90,(0,4)=91,(0,5)=92,(6,7)=92,(1,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=46 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 4}, Find(3)=3, Find(4)=4, Add (3,4)=54 Succeeded, w=127\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=54 Succeeded, w=181\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=55 Succeeded, w=236\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=59 Failed, w=236\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=0, Find(5)=3, Add (2,5)=61 Succeeded, w=297\",\"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)=62 Failed, w=297\",\"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)=63 Failed, w=297\",\"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)=64 Failed, w=297\",\"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)=65 Failed, w=297\",\"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)=71 Failed, w=297\",\"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)=72 Failed, w=297\",\"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)=77 Failed, w=297\",\"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)=82 Failed, w=297\",\"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)=83 Failed, w=297\",\"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)=84 Failed, w=297\",\"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)=85 Failed, w=297\",\"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)=87 Failed, w=297\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=90 Failed, w=297\",\"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)=90 Failed, w=297\",\"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)=91 Failed, w=297\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=297\",\"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)=92 Failed, w=297\",\"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)=95 Failed, w=297\"],\"Answer\":297}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,32],[0,3,49],[1,2,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,32],[0,3,49],[1,2,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,32],[0,3,49],[1,2,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,32],[0,3,49],[1,2,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (0,2)=32, w=47\",\"Add (0,3)=49, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,32],[0,3,49],[1,2,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (0,2)=32 Succeeded, w=47\",\"Add (0,1)=36 Failed, w=47\",\"Add (0,3)=49 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,32],[0,3,49],[1,2,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(0,2)=32,(0,1)=36,(0,3)=49]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=1, Add (0,2)=32 Succeeded, w=47\",\"Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=47\",\"Find(0)=1, Find(3)=3, Add (0,3)=49 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,32],[0,3,49],[1,2,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(0,2)=32,(0,1)=36,(0,3)=49]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=32 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=49 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,46],[0,2,61],[0,3,39],[0,4,69],[0,5,32],[0,6,65],[0,7,61],[1,2,40],[1,3,70],[1,4,16],[1,5,68],[1,6,67],[1,7,97],[2,3,94],[2,4,61],[2,5,0],[2,6,79],[2,7,79],[3,4,91],[3,5,39],[3,6,99],[3,7,97],[4,5,73],[4,6,74],[4,7,54],[5,6,69],[5,7,61],[6,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,61],[0,3,39],[0,4,69],[0,5,32],[0,6,65],[0,7,61],[1,2,40],[1,3,70],[1,4,16],[1,5,68],[1,6,67],[1,7,97],[2,3,94],[2,4,61],[2,5,0],[2,6,79],[2,7,79],[3,4,91],[3,5,39],[3,6,99],[3,7,97],[4,5,73],[4,6,74],[4,7,54],[5,6,69],[5,7,61],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,61],[0,3,39],[0,4,69],[0,5,32],[0,6,65],[0,7,61],[1,2,40],[1,3,70],[1,4,16],[1,5,68],[1,6,67],[1,7,97],[2,3,94],[2,4,61],[2,5,0],[2,6,79],[2,7,79],[3,4,91],[3,5,39],[3,6,99],[3,7,97],[4,5,73],[4,6,74],[4,7,54],[5,6,69],[5,7,61],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (4,7)\",\"Add (0,6)\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,61],[0,3,39],[0,4,69],[0,5,32],[0,6,65],[0,7,61],[1,2,40],[1,3,70],[1,4,16],[1,5,68],[1,6,67],[1,7,97],[2,3,94],[2,4,61],[2,5,0],[2,6,79],[2,7,79],[3,4,91],[3,5,39],[3,6,99],[3,7,97],[4,5,73],[4,6,74],[4,7,54],[5,6,69],[5,7,61],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (1,4)=16, w=16\",\"Add (0,5)=32, w=48\",\"Add (0,3)=39, w=87\",\"Add (1,2)=40, w=127\",\"Add (4,7)=54, w=181\",\"Add (0,6)=65, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,61],[0,3,39],[0,4,69],[0,5,32],[0,6,65],[0,7,61],[1,2,40],[1,3,70],[1,4,16],[1,5,68],[1,6,67],[1,7,97],[2,3,94],[2,4,61],[2,5,0],[2,6,79],[2,7,79],[3,4,91],[3,5,39],[3,6,99],[3,7,97],[4,5,73],[4,6,74],[4,7,54],[5,6,69],[5,7,61],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (1,4)=16 Succeeded, w=16\",\"Add (0,5)=32 Succeeded, w=48\",\"Add (0,3)=39 Succeeded, w=87\",\"Add (3,5)=39 Failed, w=87\",\"Add (1,2)=40 Succeeded, w=127\",\"Add (0,1)=46 Failed, w=127\",\"Add (4,7)=54 Succeeded, w=181\",\"Add (0,2)=61 Failed, w=181\",\"Add (0,7)=61 Failed, w=181\",\"Add (2,4)=61 Failed, w=181\",\"Add (5,7)=61 Failed, w=181\",\"Add (0,6)=65 Succeeded, w=246\",\"Add (1,6)=67 Failed, w=246\",\"Add (1,5)=68 Failed, w=246\",\"Add (0,4)=69 Failed, w=246\",\"Add (5,6)=69 Failed, w=246\",\"Add (1,3)=70 Failed, w=246\",\"Add (4,5)=73 Failed, w=246\",\"Add (4,6)=74 Failed, w=246\",\"Add (6,7)=77 Failed, w=246\",\"Add (2,6)=79 Failed, w=246\",\"Add (2,7)=79 Failed, w=246\",\"Add (3,4)=91 Failed, w=246\",\"Add (2,3)=94 Failed, w=246\",\"Add (1,7)=97 Failed, w=246\",\"Add (3,7)=97 Failed, w=246\",\"Add (3,6)=99 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,61],[0,3,39],[0,4,69],[0,5,32],[0,6,65],[0,7,61],[1,2,40],[1,3,70],[1,4,16],[1,5,68],[1,6,67],[1,7,97],[2,3,94],[2,4,61],[2,5,0],[2,6,79],[2,7,79],[3,4,91],[3,5,39],[3,6,99],[3,7,97],[4,5,73],[4,6,74],[4,7,54],[5,6,69],[5,7,61],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,4)=16,(0,5)=32,(0,3)=39,(3,5)=39,(1,2)=40,(0,1)=46,(4,7)=54,(0,2)=61,(0,7)=61,(2,4)=61,(5,7)=61,(0,6)=65,(1,6)=67,(1,5)=68,(0,4)=69,(5,6)=69,(1,3)=70,(4,5)=73,(4,6)=74,(6,7)=77,(2,6)=79,(2,7)=79,(3,4)=91,(2,3)=94,(1,7)=97,(3,7)=97,(3,6)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(5)=2, Add (0,5)=32 Succeeded, w=48\",\"Find(0)=2, Find(3)=3, Add (0,3)=39 Succeeded, w=87\",\"Find(3)=2, Find(5)=2, Add (3,5)=39 Failed, w=87\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=127\",\"Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=127\",\"Find(4)=1, Find(7)=7, Add (4,7)=54 Succeeded, w=181\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=181\",\"Find(0)=1, Find(7)=1, Add (0,7)=61 Failed, w=181\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=181\",\"Find(5)=1, Find(7)=1, Add (5,7)=61 Failed, w=181\",\"Find(0)=1, Find(6)=6, Add (0,6)=65 Succeeded, w=246\",\"Find(1)=1, Find(6)=1, Add (1,6)=67 Failed, w=246\",\"Find(1)=1, Find(5)=1, Add (1,5)=68 Failed, w=246\",\"Find(0)=1, Find(4)=1, Add (0,4)=69 Failed, w=246\",\"Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=246\",\"Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=246\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=246\",\"Find(4)=1, Find(6)=1, Add (4,6)=74 Failed, w=246\",\"Find(6)=1, Find(7)=1, Add (6,7)=77 Failed, w=246\",\"Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=246\",\"Find(2)=1, Find(7)=1, Add (2,7)=79 Failed, w=246\",\"Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=246\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=246\",\"Find(1)=1, Find(7)=1, Add (1,7)=97 Failed, w=246\",\"Find(3)=1, Find(7)=1, Add (3,7)=97 Failed, w=246\",\"Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,61],[0,3,39],[0,4,69],[0,5,32],[0,6,65],[0,7,61],[1,2,40],[1,3,70],[1,4,16],[1,5,68],[1,6,67],[1,7,97],[2,3,94],[2,4,61],[2,5,0],[2,6,79],[2,7,79],[3,4,91],[3,5,39],[3,6,99],[3,7,97],[4,5,73],[4,6,74],[4,7,54],[5,6,69],[5,7,61],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,4)=16,(0,5)=32,(0,3)=39,(3,5)=39,(1,2)=40,(0,1)=46,(4,7)=54,(0,2)=61,(0,7)=61,(2,4)=61,(5,7)=61,(0,6)=65,(1,6)=67,(1,5)=68,(0,4)=69,(5,6)=69,(1,3)=70,(4,5)=73,(4,6)=74,(6,7)=77,(2,6)=79,(2,7)=79,(3,4)=91,(2,3)=94,(1,7)=97,(3,7)=97,(3,6)=99]\",\"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: 1, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(5)=2, Add (0,5)=32 Succeeded, w=48\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 6, 7: 7}, Find(0)=2, Find(3)=3, Add (0,3)=39 Succeeded, w=87\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=2, Add (3,5)=39 Failed, w=87\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 6, 7: 7}, Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 6, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=54 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 6, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 6, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=61 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 6, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=61 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=6, Add (0,6)=65 Succeeded, w=246\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=67 Failed, w=246\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=68 Failed, w=246\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=69 Failed, w=246\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=246\",\"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)=70 Failed, w=246\",\"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)=73 Failed, w=246\",\"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)=74 Failed, w=246\",\"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)=77 Failed, w=246\",\"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)=79 Failed, w=246\",\"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)=79 Failed, w=246\",\"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)=91 Failed, w=246\",\"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)=94 Failed, w=246\",\"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)=97 Failed, w=246\",\"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)=97 Failed, w=246\",\"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)=99 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,79],[0,3,40],[0,4,30],[1,2,13],[1,3,41],[1,4,27],[2,3,66],[2,4,100],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,79],[0,3,40],[0,4,30],[1,2,13],[1,3,41],[1,4,27],[2,3,66],[2,4,100],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,79],[0,3,40],[0,4,30],[1,2,13],[1,3,41],[1,4,27],[2,3,66],[2,4,100],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,79],[0,3,40],[0,4,30],[1,2,13],[1,3,41],[1,4,27],[2,3,66],[2,4,100],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (1,4)=27, w=40\",\"Add (0,4)=30, w=70\",\"Add (0,3)=40, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,79],[0,3,40],[0,4,30],[1,2,13],[1,3,41],[1,4,27],[2,3,66],[2,4,100],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (1,4)=27 Succeeded, w=40\",\"Add (0,4)=30 Succeeded, w=70\",\"Add (0,1)=33 Failed, w=70\",\"Add (0,3)=40 Succeeded, w=110\",\"Add (1,3)=41 Failed, w=110\",\"Add (2,3)=66 Failed, w=110\",\"Add (0,2)=79 Failed, w=110\",\"Add (3,4)=81 Failed, w=110\",\"Add (2,4)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,79],[0,3,40],[0,4,30],[1,2,13],[1,3,41],[1,4,27],[2,3,66],[2,4,100],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(1,4)=27,(0,4)=30,(0,1)=33,(0,3)=40,(1,3)=41,(2,3)=66,(0,2)=79,(3,4)=81,(2,4)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=40\",\"Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=70\",\"Find(0)=1, Find(1)=1, Add (0,1)=33 Failed, w=70\",\"Find(0)=1, Find(3)=3, Add (0,3)=40 Succeeded, w=110\",\"Find(1)=1, Find(3)=1, Add (1,3)=41 Failed, w=110\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=110\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=110\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=110\",\"Find(2)=1, Find(4)=1, Add (2,4)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,79],[0,3,40],[0,4,30],[1,2,13],[1,3,41],[1,4,27],[2,3,66],[2,4,100],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(1,4)=27,(0,4)=30,(0,1)=33,(0,3)=40,(1,3)=41,(2,3)=66,(0,2)=79,(3,4)=81,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=33 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=40 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=41 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,2,59],[0,3,45],[1,2,48],[1,3,40],[2,3,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,59],[0,3,45],[1,2,48],[1,3,40],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,59],[0,3,45],[1,2,48],[1,3,40],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,59],[0,3,45],[1,2,48],[1,3,40],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=40, w=40\",\"Add (0,3)=45, w=85\",\"Add (1,2)=48, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,59],[0,3,45],[1,2,48],[1,3,40],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=40 Succeeded, w=40\",\"Add (0,3)=45 Succeeded, w=85\",\"Add (1,2)=48 Succeeded, w=133\",\"Add (0,2)=59 Failed, w=133\",\"Add (0,1)=91 Failed, w=133\",\"Add (2,3)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,59],[0,3,45],[1,2,48],[1,3,40],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=40,(0,3)=45,(1,2)=48,(0,2)=59,(0,1)=91,(2,3)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=40\",\"Find(0)=0, Find(3)=1, Add (0,3)=45 Succeeded, w=85\",\"Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=133\",\"Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=133\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=133\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,59],[0,3,45],[1,2,48],[1,3,40],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=40,(0,3)=45,(1,2)=48,(0,2)=59,(0,1)=91,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=45 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,29],[0,4,15],[0,6,43],[1,2,42],[1,3,82],[1,5,4],[1,6,53],[2,3,66],[2,4,74],[2,5,4],[2,6,68],[2,7,11],[3,4,76],[3,5,7],[3,6,52],[3,7,66],[4,6,51],[4,7,10],[6,7,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,15],[0,6,43],[1,2,42],[1,3,82],[1,5,4],[1,6,53],[2,3,66],[2,4,74],[2,5,4],[2,6,68],[2,7,11],[3,4,76],[3,5,7],[3,6,52],[3,7,66],[4,6,51],[4,7,10],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,15],[0,6,43],[1,2,42],[1,3,82],[1,5,4],[1,6,53],[2,3,66],[2,4,74],[2,5,4],[2,6,68],[2,7,11],[3,4,76],[3,5,7],[3,6,52],[3,7,66],[4,6,51],[4,7,10],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (4,7)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (6,7)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,15],[0,6,43],[1,2,42],[1,3,82],[1,5,4],[1,6,53],[2,3,66],[2,4,74],[2,5,4],[2,6,68],[2,7,11],[3,4,76],[3,5,7],[3,6,52],[3,7,66],[4,6,51],[4,7,10],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (2,5)=4, w=8\",\"Add (3,5)=7, w=15\",\"Add (4,7)=10, w=25\",\"Add (2,7)=11, w=36\",\"Add (0,4)=15, w=51\",\"Add (6,7)=25, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,15],[0,6,43],[1,2,42],[1,3,82],[1,5,4],[1,6,53],[2,3,66],[2,4,74],[2,5,4],[2,6,68],[2,7,11],[3,4,76],[3,5,7],[3,6,52],[3,7,66],[4,6,51],[4,7,10],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (2,5)=4 Succeeded, w=8\",\"Add (3,5)=7 Succeeded, w=15\",\"Add (4,7)=10 Succeeded, w=25\",\"Add (2,7)=11 Succeeded, w=36\",\"Add (0,4)=15 Succeeded, w=51\",\"Add (6,7)=25 Succeeded, w=76\",\"Add (0,2)=29 Failed, w=76\",\"Add (1,2)=42 Failed, w=76\",\"Add (0,6)=43 Failed, w=76\",\"Add (4,6)=51 Failed, w=76\",\"Add (3,6)=52 Failed, w=76\",\"Add (1,6)=53 Failed, w=76\",\"Add (2,3)=66 Failed, w=76\",\"Add (3,7)=66 Failed, w=76\",\"Add (2,6)=68 Failed, w=76\",\"Add (2,4)=74 Failed, w=76\",\"Add (3,4)=76 Failed, w=76\",\"Add (1,3)=82 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,15],[0,6,43],[1,2,42],[1,3,82],[1,5,4],[1,6,53],[2,3,66],[2,4,74],[2,5,4],[2,6,68],[2,7,11],[3,4,76],[3,5,7],[3,6,52],[3,7,66],[4,6,51],[4,7,10],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(2,5)=4,(3,5)=7,(4,7)=10,(2,7)=11,(0,4)=15,(6,7)=25,(0,2)=29,(1,2)=42,(0,6)=43,(4,6)=51,(3,6)=52,(1,6)=53,(2,3)=66,(3,7)=66,(2,6)=68,(2,4)=74,(3,4)=76,(1,3)=82]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=1, Add (2,5)=4 Succeeded, w=8\",\"Find(3)=3, Find(5)=1, Add (3,5)=7 Succeeded, w=15\",\"Find(4)=4, Find(7)=7, Add (4,7)=10 Succeeded, w=25\",\"Find(2)=1, Find(7)=4, Add (2,7)=11 Succeeded, w=36\",\"Find(0)=0, Find(4)=1, Add (0,4)=15 Succeeded, w=51\",\"Find(6)=6, Find(7)=1, Add (6,7)=25 Succeeded, w=76\",\"Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=76\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=76\",\"Find(0)=1, Find(6)=1, Add (0,6)=43 Failed, w=76\",\"Find(4)=1, Find(6)=1, Add (4,6)=51 Failed, w=76\",\"Find(3)=1, Find(6)=1, Add (3,6)=52 Failed, w=76\",\"Find(1)=1, Find(6)=1, Add (1,6)=53 Failed, w=76\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=76\",\"Find(3)=1, Find(7)=1, Add (3,7)=66 Failed, w=76\",\"Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=76\",\"Find(2)=1, Find(4)=1, Add (2,4)=74 Failed, w=76\",\"Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=76\",\"Find(1)=1, Find(3)=1, Add (1,3)=82 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,29],[0,4,15],[0,6,43],[1,2,42],[1,3,82],[1,5,4],[1,6,53],[2,3,66],[2,4,74],[2,5,4],[2,6,68],[2,7,11],[3,4,76],[3,5,7],[3,6,52],[3,7,66],[4,6,51],[4,7,10],[6,7,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(2,5)=4,(3,5)=7,(4,7)=10,(2,7)=11,(0,4)=15,(6,7)=25,(0,2)=29,(1,2)=42,(0,6)=43,(4,6)=51,(3,6)=52,(1,6)=53,(2,3)=66,(3,7)=66,(2,6)=68,(2,4)=74,(3,4)=76,(1,3)=82]\",\"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: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(5)=1, Add (2,5)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(5)=1, Add (3,5)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 4}, Find(2)=1, Find(7)=4, Add (2,7)=11 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 4}, Find(0)=0, Find(4)=1, Add (0,4)=15 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=25 Succeeded, w=76\",\"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)=29 Failed, w=76\",\"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)=42 Failed, w=76\",\"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)=43 Failed, w=76\",\"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)=51 Failed, w=76\",\"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)=52 Failed, w=76\",\"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)=53 Failed, w=76\",\"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)=66 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=66 Failed, w=76\",\"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)=68 Failed, w=76\",\"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)=74 Failed, w=76\",\"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)=76 Failed, w=76\",\"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)=82 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,94],[0,2,51],[0,3,65],[1,2,100],[2,3,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,51],[0,3,65],[1,2,100],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,51],[0,3,65],[1,2,100],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,51],[0,3,65],[1,2,100],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=24, w=24\",\"Add (0,2)=51, w=75\",\"Add (0,1)=94, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,51],[0,3,65],[1,2,100],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=24 Succeeded, w=24\",\"Add (0,2)=51 Succeeded, w=75\",\"Add (0,3)=65 Failed, w=75\",\"Add (0,1)=94 Succeeded, w=169\",\"Add (1,2)=100 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,51],[0,3,65],[1,2,100],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=24,(0,2)=51,(0,3)=65,(0,1)=94,(1,2)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=75\",\"Find(0)=2, Find(3)=2, Add (0,3)=65 Failed, w=75\",\"Find(0)=2, Find(1)=1, Add (0,1)=94 Succeeded, w=169\",\"Find(1)=2, Find(2)=2, Add (1,2)=100 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,51],[0,3,65],[1,2,100],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=24,(0,2)=51,(0,3)=65,(0,1)=94,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=75\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=65 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=94 Succeeded, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=100 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,32],[0,2,81],[0,3,69],[0,4,7],[0,5,18],[1,2,65],[1,3,82],[1,4,41],[1,5,43],[2,4,74],[2,5,53],[3,5,86],[4,5,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,81],[0,3,69],[0,4,7],[0,5,18],[1,2,65],[1,3,82],[1,4,41],[1,5,43],[2,4,74],[2,5,53],[3,5,86],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,81],[0,3,69],[0,4,7],[0,5,18],[1,2,65],[1,3,82],[1,4,41],[1,5,43],[2,4,74],[2,5,53],[3,5,86],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (0,3)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,81],[0,3,69],[0,4,7],[0,5,18],[1,2,65],[1,3,82],[1,4,41],[1,5,43],[2,4,74],[2,5,53],[3,5,86],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (0,5)=18, w=25\",\"Add (0,1)=32, w=57\",\"Add (2,5)=53, w=110\",\"Add (0,3)=69, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,81],[0,3,69],[0,4,7],[0,5,18],[1,2,65],[1,3,82],[1,4,41],[1,5,43],[2,4,74],[2,5,53],[3,5,86],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (0,5)=18 Succeeded, w=25\",\"Add (0,1)=32 Succeeded, w=57\",\"Add (4,5)=40 Failed, w=57\",\"Add (1,4)=41 Failed, w=57\",\"Add (1,5)=43 Failed, w=57\",\"Add (2,5)=53 Succeeded, w=110\",\"Add (1,2)=65 Failed, w=110\",\"Add (0,3)=69 Succeeded, w=179\",\"Add (2,4)=74 Failed, w=179\",\"Add (0,2)=81 Failed, w=179\",\"Add (1,3)=82 Failed, w=179\",\"Add (3,5)=86 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,81],[0,3,69],[0,4,7],[0,5,18],[1,2,65],[1,3,82],[1,4,41],[1,5,43],[2,4,74],[2,5,53],[3,5,86],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(0,5)=18,(0,1)=32,(4,5)=40,(1,4)=41,(1,5)=43,(2,5)=53,(1,2)=65,(0,3)=69,(2,4)=74,(0,2)=81,(1,3)=82,(3,5)=86]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=57\",\"Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=57\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=57\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=57\",\"Find(2)=2, Find(5)=0, Add (2,5)=53 Succeeded, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=110\",\"Find(0)=0, Find(3)=3, Add (0,3)=69 Succeeded, w=179\",\"Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=179\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=179\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=179\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,81],[0,3,69],[0,4,7],[0,5,18],[1,2,65],[1,3,82],[1,4,41],[1,5,43],[2,4,74],[2,5,53],[3,5,86],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(0,5)=18,(0,1)=32,(4,5)=40,(1,4)=41,(1,5)=43,(2,5)=53,(1,2)=65,(0,3)=69,(2,4)=74,(0,2)=81,(1,3)=82,(3,5)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=53 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=69 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,28],[0,2,21],[0,3,20],[0,4,93],[1,2,10],[1,3,97],[1,4,82],[2,3,0],[2,4,15],[3,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,21],[0,3,20],[0,4,93],[1,2,10],[1,3,97],[1,4,82],[2,3,0],[2,4,15],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,21],[0,3,20],[0,4,93],[1,2,10],[1,3,97],[1,4,82],[2,3,0],[2,4,15],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,21],[0,3,20],[0,4,93],[1,2,10],[1,3,97],[1,4,82],[2,3,0],[2,4,15],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,2)=10, w=10\",\"Add (2,4)=15, w=25\",\"Add (0,3)=20, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,21],[0,3,20],[0,4,93],[1,2,10],[1,3,97],[1,4,82],[2,3,0],[2,4,15],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,2)=10 Succeeded, w=10\",\"Add (2,4)=15 Succeeded, w=25\",\"Add (0,3)=20 Succeeded, w=45\",\"Add (0,2)=21 Failed, w=45\",\"Add (0,1)=28 Failed, w=45\",\"Add (1,4)=82 Failed, w=45\",\"Add (3,4)=84 Failed, w=45\",\"Add (0,4)=93 Failed, w=45\",\"Add (1,3)=97 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,21],[0,3,20],[0,4,93],[1,2,10],[1,3,97],[1,4,82],[2,3,0],[2,4,15],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=10,(2,4)=15,(0,3)=20,(0,2)=21,(0,1)=28,(1,4)=82,(3,4)=84,(0,4)=93,(1,3)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=25\",\"Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=45\",\"Find(0)=2, Find(2)=2, Add (0,2)=21 Failed, w=45\",\"Find(0)=2, Find(1)=2, Add (0,1)=28 Failed, w=45\",\"Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=45\",\"Find(3)=2, Find(4)=2, Add (3,4)=84 Failed, w=45\",\"Find(0)=2, Find(4)=2, Add (0,4)=93 Failed, w=45\",\"Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,21],[0,3,20],[0,4,93],[1,2,10],[1,3,97],[1,4,82],[2,3,0],[2,4,15],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=10,(2,4)=15,(0,3)=20,(0,2)=21,(0,1)=28,(1,4)=82,(3,4)=84,(0,4)=93,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=21 Failed, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=28 Failed, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=84 Failed, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=93 Failed, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,26],[0,2,45],[0,4,46],[0,5,13],[1,4,37],[2,3,21],[2,4,93],[3,4,73],[3,5,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,45],[0,4,46],[0,5,13],[1,4,37],[2,3,21],[2,4,93],[3,4,73],[3,5,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,45],[0,4,46],[0,5,13],[1,4,37],[2,3,21],[2,4,93],[3,4,73],[3,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (1,4)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,45],[0,4,46],[0,5,13],[1,4,37],[2,3,21],[2,4,93],[3,4,73],[3,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=13, w=13\",\"Add (2,3)=21, w=34\",\"Add (0,1)=26, w=60\",\"Add (3,5)=27, w=87\",\"Add (1,4)=37, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,45],[0,4,46],[0,5,13],[1,4,37],[2,3,21],[2,4,93],[3,4,73],[3,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=13 Succeeded, w=13\",\"Add (2,3)=21 Succeeded, w=34\",\"Add (0,1)=26 Succeeded, w=60\",\"Add (3,5)=27 Succeeded, w=87\",\"Add (1,4)=37 Succeeded, w=124\",\"Add (0,2)=45 Failed, w=124\",\"Add (0,4)=46 Failed, w=124\",\"Add (3,4)=73 Failed, w=124\",\"Add (2,4)=93 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,45],[0,4,46],[0,5,13],[1,4,37],[2,3,21],[2,4,93],[3,4,73],[3,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=13,(2,3)=21,(0,1)=26,(3,5)=27,(1,4)=37,(0,2)=45,(0,4)=46,(3,4)=73,(2,4)=93]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=13\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=60\",\"Find(3)=2, Find(5)=0, Add (3,5)=27 Succeeded, w=87\",\"Find(1)=2, Find(4)=4, Add (1,4)=37 Succeeded, w=124\",\"Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=124\",\"Find(0)=2, Find(4)=2, Add (0,4)=46 Failed, w=124\",\"Find(3)=2, Find(4)=2, Add (3,4)=73 Failed, w=124\",\"Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,45],[0,4,46],[0,5,13],[1,4,37],[2,3,21],[2,4,93],[3,4,73],[3,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=13,(2,3)=21,(0,1)=26,(3,5)=27,(1,4)=37,(0,2)=45,(0,4)=46,(3,4)=73,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=60\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0}, Find(3)=2, Find(5)=0, Add (3,5)=27 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(1)=2, Find(4)=4, Add (1,4)=37 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(4)=2, Add (0,4)=46 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(3)=2, Find(4)=2, Add (3,4)=73 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,38],[0,2,80],[0,4,5],[1,4,41],[2,3,71],[2,4,69],[2,5,26],[2,6,21],[3,4,5],[3,5,69],[4,5,98],[5,6,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,80],[0,4,5],[1,4,41],[2,3,71],[2,4,69],[2,5,26],[2,6,21],[3,4,5],[3,5,69],[4,5,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,80],[0,4,5],[1,4,41],[2,3,71],[2,4,69],[2,5,26],[2,6,21],[3,4,5],[3,5,69],[4,5,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,80],[0,4,5],[1,4,41],[2,3,71],[2,4,69],[2,5,26],[2,6,21],[3,4,5],[3,5,69],[4,5,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (3,4)=5, w=10\",\"Add (2,6)=21, w=31\",\"Add (2,5)=26, w=57\",\"Add (0,1)=38, w=95\",\"Add (2,4)=69, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,80],[0,4,5],[1,4,41],[2,3,71],[2,4,69],[2,5,26],[2,6,21],[3,4,5],[3,5,69],[4,5,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (3,4)=5 Succeeded, w=10\",\"Add (2,6)=21 Succeeded, w=31\",\"Add (2,5)=26 Succeeded, w=57\",\"Add (0,1)=38 Succeeded, w=95\",\"Add (1,4)=41 Failed, w=95\",\"Add (5,6)=46 Failed, w=95\",\"Add (2,4)=69 Succeeded, w=164\",\"Add (3,5)=69 Failed, w=164\",\"Add (2,3)=71 Failed, w=164\",\"Add (0,2)=80 Failed, w=164\",\"Add (4,5)=98 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,80],[0,4,5],[1,4,41],[2,3,71],[2,4,69],[2,5,26],[2,6,21],[3,4,5],[3,5,69],[4,5,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(3,4)=5,(2,6)=21,(2,5)=26,(0,1)=38,(1,4)=41,(5,6)=46,(2,4)=69,(3,5)=69,(2,3)=71,(0,2)=80,(4,5)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=0, Add (3,4)=5 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=21 Succeeded, w=31\",\"Find(2)=2, Find(5)=5, Add (2,5)=26 Succeeded, w=57\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=95\",\"Find(5)=2, Find(6)=2, Add (5,6)=46 Failed, w=95\",\"Find(2)=2, Find(4)=0, Add (2,4)=69 Succeeded, w=164\",\"Find(3)=2, Find(5)=2, Add (3,5)=69 Failed, w=164\",\"Find(2)=2, Find(3)=2, Add (2,3)=71 Failed, w=164\",\"Find(0)=2, Find(2)=2, Add (0,2)=80 Failed, w=164\",\"Find(4)=2, Find(5)=2, Add (4,5)=98 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,80],[0,4,5],[1,4,41],[2,3,71],[2,4,69],[2,5,26],[2,6,21],[3,4,5],[3,5,69],[4,5,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(3,4)=5,(2,6)=21,(2,5)=26,(0,1)=38,(1,4)=41,(5,6)=46,(2,4)=69,(3,5)=69,(2,3)=71,(0,2)=80,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=26 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=46 Failed, w=95\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(4)=0, Add (2,4)=69 Succeeded, w=164\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=69 Failed, w=164\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=71 Failed, w=164\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=80 Failed, w=164\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=98 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,75],[0,2,82],[0,4,26],[0,6,80],[1,2,59],[1,3,66],[1,4,36],[1,6,31],[2,3,85],[2,4,50],[2,5,63],[2,6,4],[3,4,90],[4,5,28],[4,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,82],[0,4,26],[0,6,80],[1,2,59],[1,3,66],[1,4,36],[1,6,31],[2,3,85],[2,4,50],[2,5,63],[2,6,4],[3,4,90],[4,5,28],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,82],[0,4,26],[0,6,80],[1,2,59],[1,3,66],[1,4,36],[1,6,31],[2,3,85],[2,4,50],[2,5,63],[2,6,4],[3,4,90],[4,5,28],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,82],[0,4,26],[0,6,80],[1,2,59],[1,3,66],[1,4,36],[1,6,31],[2,3,85],[2,4,50],[2,5,63],[2,6,4],[3,4,90],[4,5,28],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4, w=4\",\"Add (0,4)=26, w=30\",\"Add (4,5)=28, w=58\",\"Add (1,6)=31, w=89\",\"Add (1,4)=36, w=125\",\"Add (1,3)=66, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,82],[0,4,26],[0,6,80],[1,2,59],[1,3,66],[1,4,36],[1,6,31],[2,3,85],[2,4,50],[2,5,63],[2,6,4],[3,4,90],[4,5,28],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4 Succeeded, w=4\",\"Add (0,4)=26 Succeeded, w=30\",\"Add (4,5)=28 Succeeded, w=58\",\"Add (1,6)=31 Succeeded, w=89\",\"Add (1,4)=36 Succeeded, w=125\",\"Add (2,4)=50 Failed, w=125\",\"Add (1,2)=59 Failed, w=125\",\"Add (4,6)=62 Failed, w=125\",\"Add (2,5)=63 Failed, w=125\",\"Add (1,3)=66 Succeeded, w=191\",\"Add (0,1)=75 Failed, w=191\",\"Add (0,6)=80 Failed, w=191\",\"Add (0,2)=82 Failed, w=191\",\"Add (2,3)=85 Failed, w=191\",\"Add (3,4)=90 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,82],[0,4,26],[0,6,80],[1,2,59],[1,3,66],[1,4,36],[1,6,31],[2,3,85],[2,4,50],[2,5,63],[2,6,4],[3,4,90],[4,5,28],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(0,4)=26,(4,5)=28,(1,6)=31,(1,4)=36,(2,4)=50,(1,2)=59,(4,6)=62,(2,5)=63,(1,3)=66,(0,1)=75,(0,6)=80,(0,2)=82,(2,3)=85,(3,4)=90]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=30\",\"Find(4)=0, Find(5)=5, Add (4,5)=28 Succeeded, w=58\",\"Find(1)=1, Find(6)=2, Add (1,6)=31 Succeeded, w=89\",\"Find(1)=2, Find(4)=0, Add (1,4)=36 Succeeded, w=125\",\"Find(2)=2, Find(4)=2, Add (2,4)=50 Failed, w=125\",\"Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=125\",\"Find(4)=2, Find(6)=2, Add (4,6)=62 Failed, w=125\",\"Find(2)=2, Find(5)=2, Add (2,5)=63 Failed, w=125\",\"Find(1)=2, Find(3)=3, Add (1,3)=66 Succeeded, w=191\",\"Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=191\",\"Find(0)=2, Find(6)=2, Add (0,6)=80 Failed, w=191\",\"Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=191\",\"Find(2)=2, Find(3)=2, Add (2,3)=85 Failed, w=191\",\"Find(3)=2, Find(4)=2, Add (3,4)=90 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,82],[0,4,26],[0,6,80],[1,2,59],[1,3,66],[1,4,36],[1,6,31],[2,3,85],[2,4,50],[2,5,63],[2,6,4],[3,4,90],[4,5,28],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(0,4)=26,(4,5)=28,(1,6)=31,(1,4)=36,(2,4)=50,(1,2)=59,(4,6)=62,(2,5)=63,(1,3)=66,(0,1)=75,(0,6)=80,(0,2)=82,(2,3)=85,(3,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2}, Find(4)=0, Find(5)=5, Add (4,5)=28 Succeeded, w=58\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=31 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2}, Find(1)=2, Find(4)=0, Add (1,4)=36 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=50 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=62 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=63 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=3, Add (1,3)=66 Succeeded, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=80 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=85 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=90 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,66],[0,2,79],[0,3,16],[0,4,63],[0,5,24],[0,6,99],[1,2,89],[1,3,82],[1,5,63],[2,3,20],[2,4,51],[2,5,75],[2,6,39],[3,4,31],[3,5,15],[3,6,65],[3,7,77],[4,5,43],[4,6,2],[4,7,87],[5,6,3],[5,7,65],[6,7,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,79],[0,3,16],[0,4,63],[0,5,24],[0,6,99],[1,2,89],[1,3,82],[1,5,63],[2,3,20],[2,4,51],[2,5,75],[2,6,39],[3,4,31],[3,5,15],[3,6,65],[3,7,77],[4,5,43],[4,6,2],[4,7,87],[5,6,3],[5,7,65],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,79],[0,3,16],[0,4,63],[0,5,24],[0,6,99],[1,2,89],[1,3,82],[1,5,63],[2,3,20],[2,4,51],[2,5,75],[2,6,39],[3,4,31],[3,5,15],[3,6,65],[3,7,77],[4,5,43],[4,6,2],[4,7,87],[5,6,3],[5,7,65],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (6,7)\",\"Add (1,5)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,79],[0,3,16],[0,4,63],[0,5,24],[0,6,99],[1,2,89],[1,3,82],[1,5,63],[2,3,20],[2,4,51],[2,5,75],[2,6,39],[3,4,31],[3,5,15],[3,6,65],[3,7,77],[4,5,43],[4,6,2],[4,7,87],[5,6,3],[5,7,65],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2, w=2\",\"Add (5,6)=3, w=5\",\"Add (3,5)=15, w=20\",\"Add (0,3)=16, w=36\",\"Add (2,3)=20, w=56\",\"Add (6,7)=21, w=77\",\"Add (1,5)=63, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,79],[0,3,16],[0,4,63],[0,5,24],[0,6,99],[1,2,89],[1,3,82],[1,5,63],[2,3,20],[2,4,51],[2,5,75],[2,6,39],[3,4,31],[3,5,15],[3,6,65],[3,7,77],[4,5,43],[4,6,2],[4,7,87],[5,6,3],[5,7,65],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2 Succeeded, w=2\",\"Add (5,6)=3 Succeeded, w=5\",\"Add (3,5)=15 Succeeded, w=20\",\"Add (0,3)=16 Succeeded, w=36\",\"Add (2,3)=20 Succeeded, w=56\",\"Add (6,7)=21 Succeeded, w=77\",\"Add (0,5)=24 Failed, w=77\",\"Add (3,4)=31 Failed, w=77\",\"Add (2,6)=39 Failed, w=77\",\"Add (4,5)=43 Failed, w=77\",\"Add (2,4)=51 Failed, w=77\",\"Add (0,4)=63 Failed, w=77\",\"Add (1,5)=63 Succeeded, w=140\",\"Add (3,6)=65 Failed, w=140\",\"Add (5,7)=65 Failed, w=140\",\"Add (0,1)=66 Failed, w=140\",\"Add (2,5)=75 Failed, w=140\",\"Add (3,7)=77 Failed, w=140\",\"Add (0,2)=79 Failed, w=140\",\"Add (1,3)=82 Failed, w=140\",\"Add (4,7)=87 Failed, w=140\",\"Add (1,2)=89 Failed, w=140\",\"Add (0,6)=99 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,79],[0,3,16],[0,4,63],[0,5,24],[0,6,99],[1,2,89],[1,3,82],[1,5,63],[2,3,20],[2,4,51],[2,5,75],[2,6,39],[3,4,31],[3,5,15],[3,6,65],[3,7,77],[4,5,43],[4,6,2],[4,7,87],[5,6,3],[5,7,65],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(5,6)=3,(3,5)=15,(0,3)=16,(2,3)=20,(6,7)=21,(0,5)=24,(3,4)=31,(2,6)=39,(4,5)=43,(2,4)=51,(0,4)=63,(1,5)=63,(3,6)=65,(5,7)=65,(0,1)=66,(2,5)=75,(3,7)=77,(0,2)=79,(1,3)=82,(4,7)=87,(1,2)=89,(0,6)=99]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=4, Add (5,6)=3 Succeeded, w=5\",\"Find(3)=3, Find(5)=4, Add (3,5)=15 Succeeded, w=20\",\"Find(0)=0, Find(3)=4, Add (0,3)=16 Succeeded, w=36\",\"Find(2)=2, Find(3)=4, Add (2,3)=20 Succeeded, w=56\",\"Find(6)=4, Find(7)=7, Add (6,7)=21 Succeeded, w=77\",\"Find(0)=4, Find(5)=4, Add (0,5)=24 Failed, w=77\",\"Find(3)=4, Find(4)=4, Add (3,4)=31 Failed, w=77\",\"Find(2)=4, Find(6)=4, Add (2,6)=39 Failed, w=77\",\"Find(4)=4, Find(5)=4, Add (4,5)=43 Failed, w=77\",\"Find(2)=4, Find(4)=4, Add (2,4)=51 Failed, w=77\",\"Find(0)=4, Find(4)=4, Add (0,4)=63 Failed, w=77\",\"Find(1)=1, Find(5)=4, Add (1,5)=63 Succeeded, w=140\",\"Find(3)=4, Find(6)=4, Add (3,6)=65 Failed, w=140\",\"Find(5)=4, Find(7)=4, Add (5,7)=65 Failed, w=140\",\"Find(0)=4, Find(1)=4, Add (0,1)=66 Failed, w=140\",\"Find(2)=4, Find(5)=4, Add (2,5)=75 Failed, w=140\",\"Find(3)=4, Find(7)=4, Add (3,7)=77 Failed, w=140\",\"Find(0)=4, Find(2)=4, Add (0,2)=79 Failed, w=140\",\"Find(1)=4, Find(3)=4, Add (1,3)=82 Failed, w=140\",\"Find(4)=4, Find(7)=4, Add (4,7)=87 Failed, w=140\",\"Find(1)=4, Find(2)=4, Add (1,2)=89 Failed, w=140\",\"Find(0)=4, Find(6)=4, Add (0,6)=99 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,79],[0,3,16],[0,4,63],[0,5,24],[0,6,99],[1,2,89],[1,3,82],[1,5,63],[2,3,20],[2,4,51],[2,5,75],[2,6,39],[3,4,31],[3,5,15],[3,6,65],[3,7,77],[4,5,43],[4,6,2],[4,7,87],[5,6,3],[5,7,65],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(5,6)=3,(3,5)=15,(0,3)=16,(2,3)=20,(6,7)=21,(0,5)=24,(3,4)=31,(2,6)=39,(4,5)=43,(2,4)=51,(0,4)=63,(1,5)=63,(3,6)=65,(5,7)=65,(0,1)=66,(2,5)=75,(3,7)=77,(0,2)=79,(1,3)=82,(4,7)=87,(1,2)=89,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=5, Find(6)=4, Add (5,6)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(3)=3, Find(5)=4, Add (3,5)=15 Succeeded, w=20\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=0, Find(3)=4, Add (0,3)=16 Succeeded, w=36\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=2, Find(3)=4, Add (2,3)=20 Succeeded, w=56\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=7, Add (6,7)=21 Succeeded, w=77\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=24 Failed, w=77\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=31 Failed, w=77\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=39 Failed, w=77\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=4, Add (4,5)=43 Failed, w=77\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=51 Failed, w=77\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=63 Failed, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=1, Find(5)=4, Add (1,5)=63 Succeeded, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=65 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=65 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=66 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=75 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=77 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=79 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=82 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=87 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=89 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=99 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,10],[0,2,52],[0,3,22],[0,4,69],[1,3,15],[1,4,24],[2,4,28],[3,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,52],[0,3,22],[0,4,69],[1,3,15],[1,4,24],[2,4,28],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,52],[0,3,22],[0,4,69],[1,3,15],[1,4,24],[2,4,28],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,52],[0,3,22],[0,4,69],[1,3,15],[1,4,24],[2,4,28],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (1,3)=15, w=25\",\"Add (1,4)=24, w=49\",\"Add (2,4)=28, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,52],[0,3,22],[0,4,69],[1,3,15],[1,4,24],[2,4,28],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (1,3)=15 Succeeded, w=25\",\"Add (0,3)=22 Failed, w=25\",\"Add (1,4)=24 Succeeded, w=49\",\"Add (2,4)=28 Succeeded, w=77\",\"Add (0,2)=52 Failed, w=77\",\"Add (3,4)=52 Failed, w=77\",\"Add (0,4)=69 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,52],[0,3,22],[0,4,69],[1,3,15],[1,4,24],[2,4,28],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,3)=15,(0,3)=22,(1,4)=24,(2,4)=28,(0,2)=52,(3,4)=52,(0,4)=69]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(1)=0, Find(3)=3, Add (1,3)=15 Succeeded, w=25\",\"Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=25\",\"Find(1)=0, Find(4)=4, Add (1,4)=24 Succeeded, w=49\",\"Find(2)=2, Find(4)=0, Add (2,4)=28 Succeeded, w=77\",\"Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=77\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=77\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,52],[0,3,22],[0,4,69],[1,3,15],[1,4,24],[2,4,28],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,3)=15,(0,3)=22,(1,4)=24,(2,4)=28,(0,2)=52,(3,4)=52,(0,4)=69]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=24 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=28 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,48],[0,2,1],[0,3,30],[0,4,80],[1,2,69],[1,3,27],[1,4,63],[2,3,46],[2,4,55],[3,4,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,1],[0,3,30],[0,4,80],[1,2,69],[1,3,27],[1,4,63],[2,3,46],[2,4,55],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,1],[0,3,30],[0,4,80],[1,2,69],[1,3,27],[1,4,63],[2,3,46],[2,4,55],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,1],[0,3,30],[0,4,80],[1,2,69],[1,3,27],[1,4,63],[2,3,46],[2,4,55],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,3)=27, w=28\",\"Add (0,3)=30, w=58\",\"Add (3,4)=35, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,1],[0,3,30],[0,4,80],[1,2,69],[1,3,27],[1,4,63],[2,3,46],[2,4,55],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,3)=27 Succeeded, w=28\",\"Add (0,3)=30 Succeeded, w=58\",\"Add (3,4)=35 Succeeded, w=93\",\"Add (2,3)=46 Failed, w=93\",\"Add (0,1)=48 Failed, w=93\",\"Add (2,4)=55 Failed, w=93\",\"Add (1,4)=63 Failed, w=93\",\"Add (1,2)=69 Failed, w=93\",\"Add (0,4)=80 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,1],[0,3,30],[0,4,80],[1,2,69],[1,3,27],[1,4,63],[2,3,46],[2,4,55],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,3)=27,(0,3)=30,(3,4)=35,(2,3)=46,(0,1)=48,(2,4)=55,(1,4)=63,(1,2)=69,(0,4)=80]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=28\",\"Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=58\",\"Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=93\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=93\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=93\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=93\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=93\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=93\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,1],[0,3,30],[0,4,80],[1,2,69],[1,3,27],[1,4,63],[2,3,46],[2,4,55],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,3)=27,(0,3)=30,(3,4)=35,(2,3)=46,(0,1)=48,(2,4)=55,(1,4)=63,(1,2)=69,(0,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,28],[0,4,51],[0,5,20],[0,6,37],[1,4,62],[1,5,62],[1,6,10],[2,3,56],[2,5,34],[2,6,40],[3,4,72],[3,5,40],[3,6,48],[4,5,90],[4,6,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,28],[0,4,51],[0,5,20],[0,6,37],[1,4,62],[1,5,62],[1,6,10],[2,3,56],[2,5,34],[2,6,40],[3,4,72],[3,5,40],[3,6,48],[4,5,90],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,28],[0,4,51],[0,5,20],[0,6,37],[1,4,62],[1,5,62],[1,6,10],[2,3,56],[2,5,34],[2,6,40],[3,4,72],[3,5,40],[3,6,48],[4,5,90],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (4,6)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,28],[0,4,51],[0,5,20],[0,6,37],[1,4,62],[1,5,62],[1,6,10],[2,3,56],[2,5,34],[2,6,40],[3,4,72],[3,5,40],[3,6,48],[4,5,90],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=10, w=10\",\"Add (0,5)=20, w=30\",\"Add (0,2)=28, w=58\",\"Add (0,6)=37, w=95\",\"Add (3,5)=40, w=135\",\"Add (4,6)=44, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,28],[0,4,51],[0,5,20],[0,6,37],[1,4,62],[1,5,62],[1,6,10],[2,3,56],[2,5,34],[2,6,40],[3,4,72],[3,5,40],[3,6,48],[4,5,90],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=10 Succeeded, w=10\",\"Add (0,5)=20 Succeeded, w=30\",\"Add (0,2)=28 Succeeded, w=58\",\"Add (2,5)=34 Failed, w=58\",\"Add (0,6)=37 Succeeded, w=95\",\"Add (2,6)=40 Failed, w=95\",\"Add (3,5)=40 Succeeded, w=135\",\"Add (4,6)=44 Succeeded, w=179\",\"Add (3,6)=48 Failed, w=179\",\"Add (0,4)=51 Failed, w=179\",\"Add (2,3)=56 Failed, w=179\",\"Add (1,4)=62 Failed, w=179\",\"Add (1,5)=62 Failed, w=179\",\"Add (0,1)=65 Failed, w=179\",\"Add (3,4)=72 Failed, w=179\",\"Add (4,5)=90 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,28],[0,4,51],[0,5,20],[0,6,37],[1,4,62],[1,5,62],[1,6,10],[2,3,56],[2,5,34],[2,6,40],[3,4,72],[3,5,40],[3,6,48],[4,5,90],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=10,(0,5)=20,(0,2)=28,(2,5)=34,(0,6)=37,(2,6)=40,(3,5)=40,(4,6)=44,(3,6)=48,(0,4)=51,(2,3)=56,(1,4)=62,(1,5)=62,(0,1)=65,(3,4)=72,(4,5)=90]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=10 Succeeded, w=10\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=58\",\"Find(2)=0, Find(5)=0, Add (2,5)=34 Failed, w=58\",\"Find(0)=0, Find(6)=1, Add (0,6)=37 Succeeded, w=95\",\"Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=95\",\"Find(3)=3, Find(5)=0, Add (3,5)=40 Succeeded, w=135\",\"Find(4)=4, Find(6)=0, Add (4,6)=44 Succeeded, w=179\",\"Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=179\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=179\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=179\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=179\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=179\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=179\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=179\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,28],[0,4,51],[0,5,20],[0,6,37],[1,4,62],[1,5,62],[1,6,10],[2,3,56],[2,5,34],[2,6,40],[3,4,72],[3,5,40],[3,6,48],[4,5,90],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=10,(0,5)=20,(0,2)=28,(2,5)=34,(0,6)=37,(2,6)=40,(3,5)=40,(4,6)=44,(3,6)=48,(0,4)=51,(2,3)=56,(1,4)=62,(1,5)=62,(0,1)=65,(3,4)=72,(4,5)=90]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 1}, Find(2)=0, Find(5)=0, Add (2,5)=34 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=37 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=40 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=44 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,49],[1,2,5],[1,3,84],[2,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[1,2,5],[1,3,84],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[1,2,5],[1,3,84],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[1,2,5],[1,3,84],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (0,2)=49, w=54\",\"Add (2,3)=55, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[1,2,5],[1,3,84],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (0,2)=49 Succeeded, w=54\",\"Add (2,3)=55 Succeeded, w=109\",\"Add (1,3)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[1,2,5],[1,3,84],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,2)=49,(2,3)=55,(1,3)=84]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=54\",\"Find(2)=1, Find(3)=3, Add (2,3)=55 Succeeded, w=109\",\"Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[1,2,5],[1,3,84],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,2)=49,(2,3)=55,(1,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=55 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,53],[0,3,21],[0,4,54],[0,5,74],[0,6,19],[0,7,37],[1,4,20],[1,6,71],[2,3,48],[2,4,100],[2,5,73],[2,6,77],[2,7,4],[3,6,45],[4,6,75],[5,6,5],[6,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,53],[0,3,21],[0,4,54],[0,5,74],[0,6,19],[0,7,37],[1,4,20],[1,6,71],[2,3,48],[2,4,100],[2,5,73],[2,6,77],[2,7,4],[3,6,45],[4,6,75],[5,6,5],[6,7,67]]}",
"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\":[[0,2,53],[0,3,21],[0,4,54],[0,5,74],[0,6,19],[0,7,37],[1,4,20],[1,6,71],[2,3,48],[2,4,100],[2,5,73],[2,6,77],[2,7,4],[3,6,45],[4,6,75],[5,6,5],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,7)\",\"Add (0,4)\"],\"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\":[[0,2,53],[0,3,21],[0,4,54],[0,5,74],[0,6,19],[0,7,37],[1,4,20],[1,6,71],[2,3,48],[2,4,100],[2,5,73],[2,6,77],[2,7,4],[3,6,45],[4,6,75],[5,6,5],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=4, w=4\",\"Add (5,6)=5, w=9\",\"Add (0,6)=19, w=28\",\"Add (1,4)=20, w=48\",\"Add (0,3)=21, w=69\",\"Add (0,7)=37, w=106\",\"Add (0,4)=54, 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\":[[0,2,53],[0,3,21],[0,4,54],[0,5,74],[0,6,19],[0,7,37],[1,4,20],[1,6,71],[2,3,48],[2,4,100],[2,5,73],[2,6,77],[2,7,4],[3,6,45],[4,6,75],[5,6,5],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=4 Succeeded, w=4\",\"Add (5,6)=5 Succeeded, w=9\",\"Add (0,6)=19 Succeeded, w=28\",\"Add (1,4)=20 Succeeded, w=48\",\"Add (0,3)=21 Succeeded, w=69\",\"Add (0,7)=37 Succeeded, w=106\",\"Add (3,6)=45 Failed, w=106\",\"Add (2,3)=48 Failed, w=106\",\"Add (0,2)=53 Failed, w=106\",\"Add (0,4)=54 Succeeded, w=160\",\"Add (6,7)=67 Failed, w=160\",\"Add (1,6)=71 Failed, w=160\",\"Add (2,5)=73 Failed, w=160\",\"Add (0,5)=74 Failed, w=160\",\"Add (4,6)=75 Failed, w=160\",\"Add (2,6)=77 Failed, w=160\",\"Add (2,4)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,53],[0,3,21],[0,4,54],[0,5,74],[0,6,19],[0,7,37],[1,4,20],[1,6,71],[2,3,48],[2,4,100],[2,5,73],[2,6,77],[2,7,4],[3,6,45],[4,6,75],[5,6,5],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=4,(5,6)=5,(0,6)=19,(1,4)=20,(0,3)=21,(0,7)=37,(3,6)=45,(2,3)=48,(0,2)=53,(0,4)=54,(6,7)=67,(1,6)=71,(2,5)=73,(0,5)=74,(4,6)=75,(2,6)=77,(2,4)=100]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=4\",\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=9\",\"Find(0)=0, Find(6)=5, Add (0,6)=19 Succeeded, w=28\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=48\",\"Find(0)=5, Find(3)=3, Add (0,3)=21 Succeeded, w=69\",\"Find(0)=5, Find(7)=2, Add (0,7)=37 Succeeded, w=106\",\"Find(3)=5, Find(6)=5, Add (3,6)=45 Failed, w=106\",\"Find(2)=5, Find(3)=5, Add (2,3)=48 Failed, w=106\",\"Find(0)=5, Find(2)=5, Add (0,2)=53 Failed, w=106\",\"Find(0)=5, Find(4)=1, Add (0,4)=54 Succeeded, w=160\",\"Find(6)=5, Find(7)=5, Add (6,7)=67 Failed, w=160\",\"Find(1)=5, Find(6)=5, Add (1,6)=71 Failed, w=160\",\"Find(2)=5, Find(5)=5, Add (2,5)=73 Failed, w=160\",\"Find(0)=5, Find(5)=5, Add (0,5)=74 Failed, w=160\",\"Find(4)=5, Find(6)=5, Add (4,6)=75 Failed, w=160\",\"Find(2)=5, Find(6)=5, Add (2,6)=77 Failed, w=160\",\"Find(2)=5, Find(4)=5, Add (2,4)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,53],[0,3,21],[0,4,54],[0,5,74],[0,6,19],[0,7,37],[1,4,20],[1,6,71],[2,3,48],[2,4,100],[2,5,73],[2,6,77],[2,7,4],[3,6,45],[4,6,75],[5,6,5],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=4,(5,6)=5,(0,6)=19,(1,4)=20,(0,3)=21,(0,7)=37,(3,6)=45,(2,3)=48,(0,2)=53,(0,4)=54,(6,7)=67,(1,6)=71,(2,5)=73,(0,5)=74,(4,6)=75,(2,6)=77,(2,4)=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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=9\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(0)=0, Find(6)=5, Add (0,6)=19 Succeeded, w=28\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5, 7: 2}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=48\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 1, 5: 5, 6: 5, 7: 2}, Find(0)=5, Find(3)=3, Add (0,3)=21 Succeeded, w=69\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 2}, Find(0)=5, Find(7)=2, Add (0,7)=37 Succeeded, w=106\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 2}, Find(3)=5, Find(6)=5, Add (3,6)=45 Failed, w=106\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 2}, Find(2)=5, Find(3)=5, Add (2,3)=48 Failed, w=106\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 2}, Find(0)=5, Find(2)=5, Add (0,2)=53 Failed, w=106\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 2}, Find(0)=5, Find(4)=1, Add (0,4)=54 Succeeded, w=160\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=67 Failed, w=160\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=71 Failed, w=160\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=73 Failed, w=160\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=74 Failed, w=160\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(6)=5, Add (4,6)=75 Failed, w=160\",\"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)=77 Failed, w=160\",\"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)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,67],[0,3,78],[1,3,46],[1,5,39],[1,7,54],[2,3,83],[2,4,56],[2,6,84],[3,4,61],[3,6,38],[3,7,98],[4,6,61],[4,7,74],[5,6,66],[5,7,95],[6,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,67],[0,3,78],[1,3,46],[1,5,39],[1,7,54],[2,3,83],[2,4,56],[2,6,84],[3,4,61],[3,6,38],[3,7,98],[4,6,61],[4,7,74],[5,6,66],[5,7,95],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":361}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,67],[0,3,78],[1,3,46],[1,5,39],[1,7,54],[2,3,83],[2,4,56],[2,6,84],[3,4,61],[3,6,38],[3,7,98],[4,6,61],[4,7,74],[5,6,66],[5,7,95],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":361}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,67],[0,3,78],[1,3,46],[1,5,39],[1,7,54],[2,3,83],[2,4,56],[2,6,84],[3,4,61],[3,6,38],[3,7,98],[4,6,61],[4,7,74],[5,6,66],[5,7,95],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=38, w=38\",\"Add (1,5)=39, w=77\",\"Add (1,3)=46, w=123\",\"Add (1,7)=54, w=177\",\"Add (2,4)=56, w=233\",\"Add (3,4)=61, w=294\",\"Add (0,2)=67, w=361\"],\"Answer\":361}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,67],[0,3,78],[1,3,46],[1,5,39],[1,7,54],[2,3,83],[2,4,56],[2,6,84],[3,4,61],[3,6,38],[3,7,98],[4,6,61],[4,7,74],[5,6,66],[5,7,95],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=38 Succeeded, w=38\",\"Add (1,5)=39 Succeeded, w=77\",\"Add (1,3)=46 Succeeded, w=123\",\"Add (1,7)=54 Succeeded, w=177\",\"Add (2,4)=56 Succeeded, w=233\",\"Add (3,4)=61 Succeeded, w=294\",\"Add (4,6)=61 Failed, w=294\",\"Add (5,6)=66 Failed, w=294\",\"Add (0,2)=67 Succeeded, w=361\",\"Add (4,7)=74 Failed, w=361\",\"Add (0,3)=78 Failed, w=361\",\"Add (2,3)=83 Failed, w=361\",\"Add (2,6)=84 Failed, w=361\",\"Add (6,7)=92 Failed, w=361\",\"Add (5,7)=95 Failed, w=361\",\"Add (3,7)=98 Failed, w=361\"],\"Answer\":361}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,67],[0,3,78],[1,3,46],[1,5,39],[1,7,54],[2,3,83],[2,4,56],[2,6,84],[3,4,61],[3,6,38],[3,7,98],[4,6,61],[4,7,74],[5,6,66],[5,7,95],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=38,(1,5)=39,(1,3)=46,(1,7)=54,(2,4)=56,(3,4)=61,(4,6)=61,(5,6)=66,(0,2)=67,(4,7)=74,(0,3)=78,(2,3)=83,(2,6)=84,(6,7)=92,(5,7)=95,(3,7)=98]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=38 Succeeded, w=38\",\"Find(1)=1, Find(5)=5, Add (1,5)=39 Succeeded, w=77\",\"Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=123\",\"Find(1)=1, Find(7)=7, Add (1,7)=54 Succeeded, w=177\",\"Find(2)=2, Find(4)=4, Add (2,4)=56 Succeeded, w=233\",\"Find(3)=1, Find(4)=2, Add (3,4)=61 Succeeded, w=294\",\"Find(4)=1, Find(6)=1, Add (4,6)=61 Failed, w=294\",\"Find(5)=1, Find(6)=1, Add (5,6)=66 Failed, w=294\",\"Find(0)=0, Find(2)=1, Add (0,2)=67 Succeeded, w=361\",\"Find(4)=1, Find(7)=1, Add (4,7)=74 Failed, w=361\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=361\",\"Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=361\",\"Find(2)=1, Find(6)=1, Add (2,6)=84 Failed, w=361\",\"Find(6)=1, Find(7)=1, Add (6,7)=92 Failed, w=361\",\"Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=361\",\"Find(3)=1, Find(7)=1, Add (3,7)=98 Failed, w=361\"],\"Answer\":361}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,67],[0,3,78],[1,3,46],[1,5,39],[1,7,54],[2,3,83],[2,4,56],[2,6,84],[3,4,61],[3,6,38],[3,7,98],[4,6,61],[4,7,74],[5,6,66],[5,7,95],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=38,(1,5)=39,(1,3)=46,(1,7)=54,(2,4)=56,(3,4)=61,(4,6)=61,(5,6)=66,(0,2)=67,(4,7)=74,(0,3)=78,(2,3)=83,(2,6)=84,(6,7)=92,(5,7)=95,(3,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=38 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=39 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 3, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=123\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 3, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=54 Succeeded, w=177\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 3, 7: 1}, Find(2)=2, Find(4)=4, Add (2,4)=56 Succeeded, w=233\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(4)=2, Add (3,4)=61 Succeeded, w=294\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=61 Failed, w=294\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=66 Failed, w=294\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=67 Succeeded, w=361\",\"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)=74 Failed, w=361\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=361\",\"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)=83 Failed, w=361\",\"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)=84 Failed, w=361\",\"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)=92 Failed, w=361\",\"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)=95 Failed, w=361\",\"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)=98 Failed, w=361\"],\"Answer\":361}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,9],[0,5,31],[1,2,83],[1,3,0],[1,4,11],[1,5,43],[2,3,93],[2,4,100],[2,5,19],[3,4,66],[3,5,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,5,31],[1,2,83],[1,3,0],[1,4,11],[1,5,43],[2,3,93],[2,4,100],[2,5,19],[3,4,66],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,5,31],[1,2,83],[1,3,0],[1,4,11],[1,5,43],[2,3,93],[2,4,100],[2,5,19],[3,4,66],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (0,5)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,5,31],[1,2,83],[1,3,0],[1,4,11],[1,5,43],[2,3,93],[2,4,100],[2,5,19],[3,4,66],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,1)=9, w=9\",\"Add (1,4)=11, w=20\",\"Add (2,5)=19, w=39\",\"Add (0,5)=31, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,5,31],[1,2,83],[1,3,0],[1,4,11],[1,5,43],[2,3,93],[2,4,100],[2,5,19],[3,4,66],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,1)=9 Succeeded, w=9\",\"Add (1,4)=11 Succeeded, w=20\",\"Add (2,5)=19 Succeeded, w=39\",\"Add (0,5)=31 Succeeded, w=70\",\"Add (1,5)=43 Failed, w=70\",\"Add (3,4)=66 Failed, w=70\",\"Add (3,5)=66 Failed, w=70\",\"Add (1,2)=83 Failed, w=70\",\"Add (2,3)=93 Failed, w=70\",\"Add (2,4)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,5,31],[1,2,83],[1,3,0],[1,4,11],[1,5,43],[2,3,93],[2,4,100],[2,5,19],[3,4,66],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=9,(1,4)=11,(2,5)=19,(0,5)=31,(1,5)=43,(3,4)=66,(3,5)=66,(1,2)=83,(2,3)=93,(2,4)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=20\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=39\",\"Find(0)=1, Find(5)=2, Add (0,5)=31 Succeeded, w=70\",\"Find(1)=1, Find(5)=1, Add (1,5)=43 Failed, w=70\",\"Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=70\",\"Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=70\",\"Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=70\",\"Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=70\",\"Find(2)=1, Find(4)=1, Add (2,4)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,5,31],[1,2,83],[1,3,0],[1,4,11],[1,5,43],[2,3,93],[2,4,100],[2,5,19],[3,4,66],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=9,(1,4)=11,(2,5)=19,(0,5)=31,(1,5)=43,(3,4)=66,(3,5)=66,(1,2)=83,(2,3)=93,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(5)=2, Add (0,5)=31 Succeeded, w=70\",\"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=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,57],[0,4,42],[0,6,18],[0,7,54],[1,2,94],[1,4,39],[1,7,2],[2,3,33],[2,5,70],[2,6,77],[2,7,64],[3,4,87],[5,6,29],[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\":[[0,2,57],[0,4,42],[0,6,18],[0,7,54],[1,2,94],[1,4,39],[1,7,2],[2,3,33],[2,5,70],[2,6,77],[2,7,64],[3,4,87],[5,6,29],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,4,42],[0,6,18],[0,7,54],[1,2,94],[1,4,39],[1,7,2],[2,3,33],[2,5,70],[2,6,77],[2,7,64],[3,4,87],[5,6,29],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (6,7)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,4,42],[0,6,18],[0,7,54],[1,2,94],[1,4,39],[1,7,2],[2,3,33],[2,5,70],[2,6,77],[2,7,64],[3,4,87],[5,6,29],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2, w=2\",\"Add (0,6)=18, w=20\",\"Add (5,6)=29, w=49\",\"Add (6,7)=30, w=79\",\"Add (2,3)=33, w=112\",\"Add (1,4)=39, w=151\",\"Add (0,2)=57, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,4,42],[0,6,18],[0,7,54],[1,2,94],[1,4,39],[1,7,2],[2,3,33],[2,5,70],[2,6,77],[2,7,64],[3,4,87],[5,6,29],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2 Succeeded, w=2\",\"Add (0,6)=18 Succeeded, w=20\",\"Add (5,6)=29 Succeeded, w=49\",\"Add (6,7)=30 Succeeded, w=79\",\"Add (2,3)=33 Succeeded, w=112\",\"Add (1,4)=39 Succeeded, w=151\",\"Add (0,4)=42 Failed, w=151\",\"Add (0,7)=54 Failed, w=151\",\"Add (0,2)=57 Succeeded, w=208\",\"Add (5,7)=63 Failed, w=208\",\"Add (2,7)=64 Failed, w=208\",\"Add (2,5)=70 Failed, w=208\",\"Add (2,6)=77 Failed, w=208\",\"Add (3,4)=87 Failed, w=208\",\"Add (1,2)=94 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,4,42],[0,6,18],[0,7,54],[1,2,94],[1,4,39],[1,7,2],[2,3,33],[2,5,70],[2,6,77],[2,7,64],[3,4,87],[5,6,29],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(0,6)=18,(5,6)=29,(6,7)=30,(2,3)=33,(1,4)=39,(0,4)=42,(0,7)=54,(0,2)=57,(5,7)=63,(2,7)=64,(2,5)=70,(2,6)=77,(3,4)=87,(1,2)=94]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=20\",\"Find(5)=5, Find(6)=0, Add (5,6)=29 Succeeded, w=49\",\"Find(6)=0, Find(7)=1, Add (6,7)=30 Succeeded, w=79\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=112\",\"Find(1)=0, Find(4)=4, Add (1,4)=39 Succeeded, w=151\",\"Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=151\",\"Find(0)=0, Find(7)=0, Add (0,7)=54 Failed, w=151\",\"Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=208\",\"Find(5)=0, Find(7)=0, Add (5,7)=63 Failed, w=208\",\"Find(2)=0, Find(7)=0, Add (2,7)=64 Failed, w=208\",\"Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=208\",\"Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=208\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=208\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,4,42],[0,6,18],[0,7,54],[1,2,94],[1,4,39],[1,7,2],[2,3,33],[2,5,70],[2,6,77],[2,7,64],[3,4,87],[5,6,29],[5,7,63],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(0,6)=18,(5,6)=29,(6,7)=30,(2,3)=33,(1,4)=39,(0,4)=42,(0,7)=54,(0,2)=57,(5,7)=63,(2,7)=64,(2,5)=70,(2,6)=77,(3,4)=87,(1,2)=94]\",\"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: 5, 6: 0, 7: 1}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 1}, Find(5)=5, Find(6)=0, Add (5,6)=29 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 1}, Find(6)=0, Find(7)=1, Add (6,7)=30 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 0, 7: 1}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(4)=4, Add (1,4)=39 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=54 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=63 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=64 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=208\",\"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)=87 Failed, w=208\",\"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)=94 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,31],[0,3,52],[0,4,39],[0,5,22],[1,2,89],[1,3,74],[1,5,14],[2,3,36],[2,4,55],[3,5,48],[4,5,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,3,52],[0,4,39],[0,5,22],[1,2,89],[1,3,74],[1,5,14],[2,3,36],[2,4,55],[3,5,48],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,3,52],[0,4,39],[0,5,22],[1,2,89],[1,3,74],[1,5,14],[2,3,36],[2,4,55],[3,5,48],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,3,52],[0,4,39],[0,5,22],[1,2,89],[1,3,74],[1,5,14],[2,3,36],[2,4,55],[3,5,48],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=14, w=14\",\"Add (0,5)=22, w=36\",\"Add (2,3)=36, w=72\",\"Add (0,4)=39, w=111\",\"Add (3,5)=48, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,3,52],[0,4,39],[0,5,22],[1,2,89],[1,3,74],[1,5,14],[2,3,36],[2,4,55],[3,5,48],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=14 Succeeded, w=14\",\"Add (0,5)=22 Succeeded, w=36\",\"Add (0,1)=31 Failed, w=36\",\"Add (2,3)=36 Succeeded, w=72\",\"Add (0,4)=39 Succeeded, w=111\",\"Add (3,5)=48 Succeeded, w=159\",\"Add (0,3)=52 Failed, w=159\",\"Add (2,4)=55 Failed, w=159\",\"Add (1,3)=74 Failed, w=159\",\"Add (1,2)=89 Failed, w=159\",\"Add (4,5)=91 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,3,52],[0,4,39],[0,5,22],[1,2,89],[1,3,74],[1,5,14],[2,3,36],[2,4,55],[3,5,48],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=14,(0,5)=22,(0,1)=31,(2,3)=36,(0,4)=39,(3,5)=48,(0,3)=52,(2,4)=55,(1,3)=74,(1,2)=89,(4,5)=91]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=14\",\"Find(0)=0, Find(5)=1, Add (0,5)=22 Succeeded, w=36\",\"Find(0)=1, Find(1)=1, Add (0,1)=31 Failed, w=36\",\"Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=72\",\"Find(0)=1, Find(4)=4, Add (0,4)=39 Succeeded, w=111\",\"Find(3)=2, Find(5)=1, Add (3,5)=48 Succeeded, w=159\",\"Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=159\",\"Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=159\",\"Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=159\",\"Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=159\",\"Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,3,52],[0,4,39],[0,5,22],[1,2,89],[1,3,74],[1,5,14],[2,3,36],[2,4,55],[3,5,48],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=14,(0,5)=22,(0,1)=31,(2,3)=36,(0,4)=39,(3,5)=48,(0,3)=52,(2,4)=55,(1,3)=74,(1,2)=89,(4,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=22 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=31 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(0)=1, Find(4)=4, Add (0,4)=39 Succeeded, w=111\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(3)=2, Find(5)=1, Add (3,5)=48 Succeeded, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(0)=2, Find(3)=2, Add (0,3)=52 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,67],[0,4,12],[1,2,35],[1,3,92],[1,4,16],[2,3,70],[2,4,30],[3,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,4,12],[1,2,35],[1,3,92],[1,4,16],[2,3,70],[2,4,30],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,4,12],[1,2,35],[1,3,92],[1,4,16],[2,3,70],[2,4,30],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,4,12],[1,2,35],[1,3,92],[1,4,16],[2,3,70],[2,4,30],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=12, w=12\",\"Add (1,4)=16, w=28\",\"Add (2,4)=30, w=58\",\"Add (3,4)=52, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,4,12],[1,2,35],[1,3,92],[1,4,16],[2,3,70],[2,4,30],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=12 Succeeded, w=12\",\"Add (1,4)=16 Succeeded, w=28\",\"Add (2,4)=30 Succeeded, w=58\",\"Add (1,2)=35 Failed, w=58\",\"Add (3,4)=52 Succeeded, w=110\",\"Add (0,1)=67 Failed, w=110\",\"Add (2,3)=70 Failed, w=110\",\"Add (1,3)=92 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,4,12],[1,2,35],[1,3,92],[1,4,16],[2,3,70],[2,4,30],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=12,(1,4)=16,(2,4)=30,(1,2)=35,(3,4)=52,(0,1)=67,(2,3)=70,(1,3)=92]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=28\",\"Find(2)=2, Find(4)=0, Add (2,4)=30 Succeeded, w=58\",\"Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=58\",\"Find(3)=3, Find(4)=0, Add (3,4)=52 Succeeded, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,4,12],[1,2,35],[1,3,92],[1,4,16],[2,3,70],[2,4,30],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=12,(1,4)=16,(2,4)=30,(1,2)=35,(3,4)=52,(0,1)=67,(2,3)=70,(1,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=30 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=52 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,75],[0,2,90],[0,3,24],[0,4,73],[0,5,69],[0,6,63],[1,2,51],[1,3,16],[1,4,87],[1,5,49],[1,6,43],[2,3,1],[2,4,34],[2,6,18],[3,4,51],[3,5,65],[3,6,98],[4,6,91],[5,6,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,90],[0,3,24],[0,4,73],[0,5,69],[0,6,63],[1,2,51],[1,3,16],[1,4,87],[1,5,49],[1,6,43],[2,3,1],[2,4,34],[2,6,18],[3,4,51],[3,5,65],[3,6,98],[4,6,91],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,90],[0,3,24],[0,4,73],[0,5,69],[0,6,63],[1,2,51],[1,3,16],[1,4,87],[1,5,49],[1,6,43],[2,3,1],[2,4,34],[2,6,18],[3,4,51],[3,5,65],[3,6,98],[4,6,91],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (1,5)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,90],[0,3,24],[0,4,73],[0,5,69],[0,6,63],[1,2,51],[1,3,16],[1,4,87],[1,5,49],[1,6,43],[2,3,1],[2,4,34],[2,6,18],[3,4,51],[3,5,65],[3,6,98],[4,6,91],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (1,3)=16, w=17\",\"Add (2,6)=18, w=35\",\"Add (0,3)=24, w=59\",\"Add (2,4)=34, w=93\",\"Add (1,5)=49, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,90],[0,3,24],[0,4,73],[0,5,69],[0,6,63],[1,2,51],[1,3,16],[1,4,87],[1,5,49],[1,6,43],[2,3,1],[2,4,34],[2,6,18],[3,4,51],[3,5,65],[3,6,98],[4,6,91],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (1,3)=16 Succeeded, w=17\",\"Add (2,6)=18 Succeeded, w=35\",\"Add (0,3)=24 Succeeded, w=59\",\"Add (2,4)=34 Succeeded, w=93\",\"Add (1,6)=43 Failed, w=93\",\"Add (1,5)=49 Succeeded, w=142\",\"Add (1,2)=51 Failed, w=142\",\"Add (3,4)=51 Failed, w=142\",\"Add (5,6)=53 Failed, w=142\",\"Add (0,6)=63 Failed, w=142\",\"Add (3,5)=65 Failed, w=142\",\"Add (0,5)=69 Failed, w=142\",\"Add (0,4)=73 Failed, w=142\",\"Add (0,1)=75 Failed, w=142\",\"Add (1,4)=87 Failed, w=142\",\"Add (0,2)=90 Failed, w=142\",\"Add (4,6)=91 Failed, w=142\",\"Add (3,6)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,90],[0,3,24],[0,4,73],[0,5,69],[0,6,63],[1,2,51],[1,3,16],[1,4,87],[1,5,49],[1,6,43],[2,3,1],[2,4,34],[2,6,18],[3,4,51],[3,5,65],[3,6,98],[4,6,91],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,3)=16,(2,6)=18,(0,3)=24,(2,4)=34,(1,6)=43,(1,5)=49,(1,2)=51,(3,4)=51,(5,6)=53,(0,6)=63,(3,5)=65,(0,5)=69,(0,4)=73,(0,1)=75,(1,4)=87,(0,2)=90,(4,6)=91,(3,6)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=2, Add (1,3)=16 Succeeded, w=17\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=35\",\"Find(0)=0, Find(3)=2, Add (0,3)=24 Succeeded, w=59\",\"Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=93\",\"Find(1)=2, Find(6)=2, Add (1,6)=43 Failed, w=93\",\"Find(1)=2, Find(5)=5, Add (1,5)=49 Succeeded, w=142\",\"Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=142\",\"Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=142\",\"Find(5)=2, Find(6)=2, Add (5,6)=53 Failed, w=142\",\"Find(0)=2, Find(6)=2, Add (0,6)=63 Failed, w=142\",\"Find(3)=2, Find(5)=2, Add (3,5)=65 Failed, w=142\",\"Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=142\",\"Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=142\",\"Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=142\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=142\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=142\",\"Find(4)=2, Find(6)=2, Add (4,6)=91 Failed, w=142\",\"Find(3)=2, Find(6)=2, Add (3,6)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,90],[0,3,24],[0,4,73],[0,5,69],[0,6,63],[1,2,51],[1,3,16],[1,4,87],[1,5,49],[1,6,43],[2,3,1],[2,4,34],[2,6,18],[3,4,51],[3,5,65],[3,6,98],[4,6,91],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,3)=16,(2,6)=18,(0,3)=24,(2,4)=34,(1,6)=43,(1,5)=49,(1,2)=51,(3,4)=51,(5,6)=53,(0,6)=63,(3,5)=65,(0,5)=69,(0,4)=73,(0,1)=75,(1,4)=87,(0,2)=90,(4,6)=91,(3,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=2, Add (1,3)=16 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=24 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=43 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=5, Add (1,5)=49 Succeeded, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=53 Failed, w=142\",\"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=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=65 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=91 Failed, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,32],[0,4,34],[0,5,95],[1,2,55],[1,3,91],[1,4,82],[2,3,69],[2,5,10],[3,4,99],[3,5,28],[4,5,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,4,34],[0,5,95],[1,2,55],[1,3,91],[1,4,82],[2,3,69],[2,5,10],[3,4,99],[3,5,28],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,4,34],[0,5,95],[1,2,55],[1,3,91],[1,4,82],[2,3,69],[2,5,10],[3,4,99],[3,5,28],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,4,34],[0,5,95],[1,2,55],[1,3,91],[1,4,82],[2,3,69],[2,5,10],[3,4,99],[3,5,28],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=10, w=10\",\"Add (3,5)=28, w=38\",\"Add (0,1)=32, w=70\",\"Add (0,4)=34, w=104\",\"Add (1,2)=55, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,4,34],[0,5,95],[1,2,55],[1,3,91],[1,4,82],[2,3,69],[2,5,10],[3,4,99],[3,5,28],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=10 Succeeded, w=10\",\"Add (3,5)=28 Succeeded, w=38\",\"Add (0,1)=32 Succeeded, w=70\",\"Add (0,4)=34 Succeeded, w=104\",\"Add (1,2)=55 Succeeded, w=159\",\"Add (4,5)=68 Failed, w=159\",\"Add (2,3)=69 Failed, w=159\",\"Add (1,4)=82 Failed, w=159\",\"Add (1,3)=91 Failed, w=159\",\"Add (0,5)=95 Failed, w=159\",\"Add (3,4)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,4,34],[0,5,95],[1,2,55],[1,3,91],[1,4,82],[2,3,69],[2,5,10],[3,4,99],[3,5,28],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=10,(3,5)=28,(0,1)=32,(0,4)=34,(1,2)=55,(4,5)=68,(2,3)=69,(1,4)=82,(1,3)=91,(0,5)=95,(3,4)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Find(3)=3, Find(5)=2, Add (3,5)=28 Succeeded, w=38\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=70\",\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=104\",\"Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=159\",\"Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=159\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=159\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=159\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=159\",\"Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=159\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,4,34],[0,5,95],[1,2,55],[1,3,91],[1,4,82],[2,3,69],[2,5,10],[3,4,99],[3,5,28],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=10,(3,5)=28,(0,1)=32,(0,4)=34,(1,2)=55,(4,5)=68,(2,3)=69,(1,4)=82,(1,3)=91,(0,5)=95,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=28 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=159\",\"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=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,85],[0,3,10],[0,4,67],[1,3,68],[1,5,48],[3,4,9],[4,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,3,10],[0,4,67],[1,3,68],[1,5,48],[3,4,9],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,3,10],[0,4,67],[1,3,68],[1,5,48],[3,4,9],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,3,10],[0,4,67],[1,3,68],[1,5,48],[3,4,9],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5, w=5\",\"Add (3,4)=9, w=14\",\"Add (0,3)=10, w=24\",\"Add (1,5)=48, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,3,10],[0,4,67],[1,3,68],[1,5,48],[3,4,9],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5 Succeeded, w=5\",\"Add (3,4)=9 Succeeded, w=14\",\"Add (0,3)=10 Succeeded, w=24\",\"Add (1,5)=48 Succeeded, w=72\",\"Add (0,4)=67 Failed, w=72\",\"Add (1,3)=68 Failed, w=72\",\"Add (0,1)=85 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,3,10],[0,4,67],[1,3,68],[1,5,48],[3,4,9],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(3,4)=9,(0,3)=10,(1,5)=48,(0,4)=67,(1,3)=68,(0,1)=85]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=14\",\"Find(0)=0, Find(3)=4, Add (0,3)=10 Succeeded, w=24\",\"Find(1)=1, Find(5)=4, Add (1,5)=48 Succeeded, w=72\",\"Find(0)=4, Find(4)=4, Add (0,4)=67 Failed, w=72\",\"Find(1)=4, Find(3)=4, Add (1,3)=68 Failed, w=72\",\"Find(0)=4, Find(1)=4, Add (0,1)=85 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,3,10],[0,4,67],[1,3,68],[1,5,48],[3,4,9],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(3,4)=9,(0,3)=10,(1,5)=48,(0,4)=67,(1,3)=68,(0,1)=85]\",\"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(4)=4, Add (3,4)=9 Succeeded, w=14\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(3)=4, Add (0,3)=10 Succeeded, w=24\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=48 Succeeded, w=72\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=67 Failed, w=72\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=68 Failed, w=72\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=85 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,93],[0,3,37],[0,4,67],[0,5,54],[0,6,9],[1,3,9],[1,5,27],[1,6,33],[2,4,26],[2,6,58],[3,4,75],[3,5,96],[3,6,97],[4,6,90],[5,6,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,3,37],[0,4,67],[0,5,54],[0,6,9],[1,3,9],[1,5,27],[1,6,33],[2,4,26],[2,6,58],[3,4,75],[3,5,96],[3,6,97],[4,6,90],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,3,37],[0,4,67],[0,5,54],[0,6,9],[1,3,9],[1,5,27],[1,6,33],[2,4,26],[2,6,58],[3,4,75],[3,5,96],[3,6,97],[4,6,90],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (2,6)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,3,37],[0,4,67],[0,5,54],[0,6,9],[1,3,9],[1,5,27],[1,6,33],[2,4,26],[2,6,58],[3,4,75],[3,5,96],[3,6,97],[4,6,90],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9, w=9\",\"Add (1,3)=9, w=18\",\"Add (2,4)=26, w=44\",\"Add (1,5)=27, w=71\",\"Add (1,6)=33, w=104\",\"Add (2,6)=58, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,3,37],[0,4,67],[0,5,54],[0,6,9],[1,3,9],[1,5,27],[1,6,33],[2,4,26],[2,6,58],[3,4,75],[3,5,96],[3,6,97],[4,6,90],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9 Succeeded, w=9\",\"Add (1,3)=9 Succeeded, w=18\",\"Add (2,4)=26 Succeeded, w=44\",\"Add (1,5)=27 Succeeded, w=71\",\"Add (1,6)=33 Succeeded, w=104\",\"Add (0,3)=37 Failed, w=104\",\"Add (0,5)=54 Failed, w=104\",\"Add (2,6)=58 Succeeded, w=162\",\"Add (0,4)=67 Failed, w=162\",\"Add (3,4)=75 Failed, w=162\",\"Add (5,6)=88 Failed, w=162\",\"Add (4,6)=90 Failed, w=162\",\"Add (0,2)=93 Failed, w=162\",\"Add (3,5)=96 Failed, w=162\",\"Add (3,6)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,3,37],[0,4,67],[0,5,54],[0,6,9],[1,3,9],[1,5,27],[1,6,33],[2,4,26],[2,6,58],[3,4,75],[3,5,96],[3,6,97],[4,6,90],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(1,3)=9,(2,4)=26,(1,5)=27,(1,6)=33,(0,3)=37,(0,5)=54,(2,6)=58,(0,4)=67,(3,4)=75,(5,6)=88,(4,6)=90,(0,2)=93,(3,5)=96,(3,6)=97]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=18\",\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=44\",\"Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=71\",\"Find(1)=1, Find(6)=0, Add (1,6)=33 Succeeded, w=104\",\"Find(0)=1, Find(3)=1, Add (0,3)=37 Failed, w=104\",\"Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=104\",\"Find(2)=2, Find(6)=1, Add (2,6)=58 Succeeded, w=162\",\"Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=162\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=162\",\"Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=162\",\"Find(4)=1, Find(6)=1, Add (4,6)=90 Failed, w=162\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=162\",\"Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=162\",\"Find(3)=1, Find(6)=1, Add (3,6)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,93],[0,3,37],[0,4,67],[0,5,54],[0,6,9],[1,3,9],[1,5,27],[1,6,33],[2,4,26],[2,6,58],[3,4,75],[3,5,96],[3,6,97],[4,6,90],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(1,3)=9,(2,4)=26,(1,5)=27,(1,6)=33,(0,3)=37,(0,5)=54,(2,6)=58,(0,4)=67,(3,4)=75,(5,6)=88,(4,6)=90,(0,2)=93,(3,5)=96,(3,6)=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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=33 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0}, Find(0)=1, Find(3)=1, Add (0,3)=37 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0}, Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=58 Succeeded, w=162\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=162\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=162\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=162\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=90 Failed, w=162\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=162\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=162\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,92],[0,2,83],[0,3,28],[0,4,45],[0,5,61],[1,2,2],[1,4,70],[1,5,83],[2,3,59],[3,4,20],[3,5,43],[4,5,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,83],[0,3,28],[0,4,45],[0,5,61],[1,2,2],[1,4,70],[1,5,83],[2,3,59],[3,4,20],[3,5,43],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,83],[0,3,28],[0,4,45],[0,5,61],[1,2,2],[1,4,70],[1,5,83],[2,3,59],[3,4,20],[3,5,43],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,83],[0,3,28],[0,4,45],[0,5,61],[1,2,2],[1,4,70],[1,5,83],[2,3,59],[3,4,20],[3,5,43],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (3,4)=20, w=22\",\"Add (4,5)=23, w=45\",\"Add (0,3)=28, w=73\",\"Add (2,3)=59, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,83],[0,3,28],[0,4,45],[0,5,61],[1,2,2],[1,4,70],[1,5,83],[2,3,59],[3,4,20],[3,5,43],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (3,4)=20 Succeeded, w=22\",\"Add (4,5)=23 Succeeded, w=45\",\"Add (0,3)=28 Succeeded, w=73\",\"Add (3,5)=43 Failed, w=73\",\"Add (0,4)=45 Failed, w=73\",\"Add (2,3)=59 Succeeded, w=132\",\"Add (0,5)=61 Failed, w=132\",\"Add (1,4)=70 Failed, w=132\",\"Add (0,2)=83 Failed, w=132\",\"Add (1,5)=83 Failed, w=132\",\"Add (0,1)=92 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,83],[0,3,28],[0,4,45],[0,5,61],[1,2,2],[1,4,70],[1,5,83],[2,3,59],[3,4,20],[3,5,43],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(3,4)=20,(4,5)=23,(0,3)=28,(3,5)=43,(0,4)=45,(2,3)=59,(0,5)=61,(1,4)=70,(0,2)=83,(1,5)=83,(0,1)=92]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=22\",\"Find(4)=3, Find(5)=5, Add (4,5)=23 Succeeded, w=45\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=73\",\"Find(3)=3, Find(5)=3, Add (3,5)=43 Failed, w=73\",\"Find(0)=3, Find(4)=3, Add (0,4)=45 Failed, w=73\",\"Find(2)=1, Find(3)=3, Add (2,3)=59 Succeeded, w=132\",\"Find(0)=1, Find(5)=1, Add (0,5)=61 Failed, w=132\",\"Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=132\",\"Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=132\",\"Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=132\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,83],[0,3,28],[0,4,45],[0,5,61],[1,2,2],[1,4,70],[1,5,83],[2,3,59],[3,4,20],[3,5,43],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(3,4)=20,(4,5)=23,(0,3)=28,(3,5)=43,(0,4)=45,(2,3)=59,(0,5)=61,(1,4)=70,(0,2)=83,(1,5)=83,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=5, Add (4,5)=23 Succeeded, w=45\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=73\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=43 Failed, w=73\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=45 Failed, w=73\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(2)=1, Find(3)=3, Add (2,3)=59 Succeeded, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=61 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,96],[0,2,67],[0,3,15],[1,2,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,67],[0,3,15],[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,67],[0,3,15],[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,67],[0,3,15],[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (1,2)=39, w=54\",\"Add (0,2)=67, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,67],[0,3,15],[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (1,2)=39 Succeeded, w=54\",\"Add (0,2)=67 Succeeded, w=121\",\"Add (0,1)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,67],[0,3,15],[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(1,2)=39,(0,2)=67,(0,1)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=54\",\"Find(0)=0, Find(2)=1, Add (0,2)=67 Succeeded, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,67],[0,3,15],[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(1,2)=39,(0,2)=67,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=67 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,100],[0,3,68],[0,4,42],[0,5,29],[0,6,95],[1,2,97],[1,3,2],[1,4,83],[1,5,0],[1,6,65],[2,4,61],[2,5,94],[2,6,61],[3,4,79],[3,6,47],[4,5,73],[4,6,55],[5,6,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,68],[0,4,42],[0,5,29],[0,6,95],[1,2,97],[1,3,2],[1,4,83],[1,5,0],[1,6,65],[2,4,61],[2,5,94],[2,6,61],[3,4,79],[3,6,47],[4,5,73],[4,6,55],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,68],[0,4,42],[0,5,29],[0,6,95],[1,2,97],[1,3,2],[1,4,83],[1,5,0],[1,6,65],[2,4,61],[2,5,94],[2,6,61],[3,4,79],[3,6,47],[4,5,73],[4,6,55],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,3)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,68],[0,4,42],[0,5,29],[0,6,95],[1,2,97],[1,3,2],[1,4,83],[1,5,0],[1,6,65],[2,4,61],[2,5,94],[2,6,61],[3,4,79],[3,6,47],[4,5,73],[4,6,55],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (1,3)=2, w=2\",\"Add (5,6)=22, w=24\",\"Add (0,5)=29, w=53\",\"Add (0,4)=42, w=95\",\"Add (2,4)=61, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,68],[0,4,42],[0,5,29],[0,6,95],[1,2,97],[1,3,2],[1,4,83],[1,5,0],[1,6,65],[2,4,61],[2,5,94],[2,6,61],[3,4,79],[3,6,47],[4,5,73],[4,6,55],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (1,3)=2 Succeeded, w=2\",\"Add (5,6)=22 Succeeded, w=24\",\"Add (0,5)=29 Succeeded, w=53\",\"Add (0,4)=42 Succeeded, w=95\",\"Add (3,6)=47 Failed, w=95\",\"Add (4,6)=55 Failed, w=95\",\"Add (2,4)=61 Succeeded, w=156\",\"Add (2,6)=61 Failed, w=156\",\"Add (0,1)=65 Failed, w=156\",\"Add (1,6)=65 Failed, w=156\",\"Add (0,3)=68 Failed, w=156\",\"Add (4,5)=73 Failed, w=156\",\"Add (3,4)=79 Failed, w=156\",\"Add (1,4)=83 Failed, w=156\",\"Add (2,5)=94 Failed, w=156\",\"Add (0,6)=95 Failed, w=156\",\"Add (1,2)=97 Failed, w=156\",\"Add (0,2)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,68],[0,4,42],[0,5,29],[0,6,95],[1,2,97],[1,3,2],[1,4,83],[1,5,0],[1,6,65],[2,4,61],[2,5,94],[2,6,61],[3,4,79],[3,6,47],[4,5,73],[4,6,55],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(1,3)=2,(5,6)=22,(0,5)=29,(0,4)=42,(3,6)=47,(4,6)=55,(2,4)=61,(2,6)=61,(0,1)=65,(1,6)=65,(0,3)=68,(4,5)=73,(3,4)=79,(1,4)=83,(2,5)=94,(0,6)=95,(1,2)=97,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(5)=1, Find(6)=6, Add (5,6)=22 Succeeded, w=24\",\"Find(0)=0, Find(5)=1, Add (0,5)=29 Succeeded, w=53\",\"Find(0)=1, Find(4)=4, Add (0,4)=42 Succeeded, w=95\",\"Find(3)=1, Find(6)=1, Add (3,6)=47 Failed, w=95\",\"Find(4)=1, Find(6)=1, Add (4,6)=55 Failed, w=95\",\"Find(2)=2, Find(4)=1, Add (2,4)=61 Succeeded, w=156\",\"Find(2)=1, Find(6)=1, Add (2,6)=61 Failed, w=156\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=156\",\"Find(1)=1, Find(6)=1, Add (1,6)=65 Failed, w=156\",\"Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=156\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=156\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=156\",\"Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=156\",\"Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=156\",\"Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=156\",\"Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=156\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,68],[0,4,42],[0,5,29],[0,6,95],[1,2,97],[1,3,2],[1,4,83],[1,5,0],[1,6,65],[2,4,61],[2,5,94],[2,6,61],[3,4,79],[3,6,47],[4,5,73],[4,6,55],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(1,3)=2,(5,6)=22,(0,5)=29,(0,4)=42,(3,6)=47,(4,6)=55,(2,4)=61,(2,6)=61,(0,1)=65,(1,6)=65,(0,3)=68,(4,5)=73,(3,4)=79,(1,4)=83,(2,5)=94,(0,6)=95,(1,2)=97,(0,2)=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: 1, 4: 4, 5: 1, 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: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=22 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(5)=1, Add (0,5)=29 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=4, Add (0,4)=42 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=47 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=55 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=61 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=61 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=65 Failed, w=156\",\"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=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,63],[0,5,18],[1,2,2],[1,3,91],[1,4,41],[1,5,87],[1,6,17],[2,3,11],[2,4,76],[2,5,31],[3,4,97],[3,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,63],[0,5,18],[1,2,2],[1,3,91],[1,4,41],[1,5,87],[1,6,17],[2,3,11],[2,4,76],[2,5,31],[3,4,97],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,63],[0,5,18],[1,2,2],[1,3,91],[1,4,41],[1,5,87],[1,6,17],[2,3,11],[2,4,76],[2,5,31],[3,4,97],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,63],[0,5,18],[1,2,2],[1,3,91],[1,4,41],[1,5,87],[1,6,17],[2,3,11],[2,4,76],[2,5,31],[3,4,97],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (2,3)=11, w=13\",\"Add (1,6)=17, w=30\",\"Add (0,5)=18, w=48\",\"Add (2,5)=31, w=79\",\"Add (1,4)=41, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,63],[0,5,18],[1,2,2],[1,3,91],[1,4,41],[1,5,87],[1,6,17],[2,3,11],[2,4,76],[2,5,31],[3,4,97],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (2,3)=11 Succeeded, w=13\",\"Add (1,6)=17 Succeeded, w=30\",\"Add (0,5)=18 Succeeded, w=48\",\"Add (2,5)=31 Succeeded, w=79\",\"Add (1,4)=41 Succeeded, w=120\",\"Add (3,5)=56 Failed, w=120\",\"Add (0,3)=63 Failed, w=120\",\"Add (2,4)=76 Failed, w=120\",\"Add (1,5)=87 Failed, w=120\",\"Add (1,3)=91 Failed, w=120\",\"Add (3,4)=97 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,63],[0,5,18],[1,2,2],[1,3,91],[1,4,41],[1,5,87],[1,6,17],[2,3,11],[2,4,76],[2,5,31],[3,4,97],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(2,3)=11,(1,6)=17,(0,5)=18,(2,5)=31,(1,4)=41,(3,5)=56,(0,3)=63,(2,4)=76,(1,5)=87,(1,3)=91,(3,4)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(2)=1, Find(3)=3, Add (2,3)=11 Succeeded, w=13\",\"Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=30\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=48\",\"Find(2)=1, Find(5)=0, Add (2,5)=31 Succeeded, w=79\",\"Find(1)=1, Find(4)=4, Add (1,4)=41 Succeeded, w=120\",\"Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=120\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=120\",\"Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=120\",\"Find(1)=1, Find(5)=1, Add (1,5)=87 Failed, w=120\",\"Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=120\",\"Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,63],[0,5,18],[1,2,2],[1,3,91],[1,4,41],[1,5,87],[1,6,17],[2,3,11],[2,4,76],[2,5,31],[3,4,97],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(2,3)=11,(1,6)=17,(0,5)=18,(2,5)=31,(1,4)=41,(3,5)=56,(0,3)=63,(2,4)=76,(1,5)=87,(1,3)=91,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 1}, Find(2)=1, Find(5)=0, Add (2,5)=31 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=41 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=87 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[0,2,5],[0,3,78],[1,2,57],[1,3,87],[2,3,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,5],[0,3,78],[1,2,57],[1,3,87],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,5],[0,3,78],[1,2,57],[1,3,87],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,5],[0,3,78],[1,2,57],[1,3,87],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (0,1)=15, w=20\",\"Add (0,3)=78, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,5],[0,3,78],[1,2,57],[1,3,87],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (0,1)=15 Succeeded, w=20\",\"Add (1,2)=57 Failed, w=20\",\"Add (0,3)=78 Succeeded, w=98\",\"Add (1,3)=87 Failed, w=98\",\"Add (2,3)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,5],[0,3,78],[1,2,57],[1,3,87],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,1)=15,(1,2)=57,(0,3)=78,(1,3)=87,(2,3)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=20\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=20\",\"Find(0)=0, Find(3)=3, Add (0,3)=78 Succeeded, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,5],[0,3,78],[1,2,57],[1,3,87],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,1)=15,(1,2)=57,(0,3)=78,(1,3)=87,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=78 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,26],[0,2,65],[0,3,70],[1,3,36],[2,4,94],[2,5,59],[2,6,100],[3,4,35],[4,5,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,65],[0,3,70],[1,3,36],[2,4,94],[2,5,59],[2,6,100],[3,4,35],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,65],[0,3,70],[1,3,36],[2,4,94],[2,5,59],[2,6,100],[3,4,35],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (2,6)\"],\"Answer\":321}",
"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],[0,2,65],[0,3,70],[1,3,36],[2,4,94],[2,5,59],[2,6,100],[3,4,35],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=26, w=26\",\"Add (3,4)=35, w=61\",\"Add (1,3)=36, w=97\",\"Add (2,5)=59, w=156\",\"Add (0,2)=65, w=221\",\"Add (2,6)=100, w=321\"],\"Answer\":321}",
"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],[0,2,65],[0,3,70],[1,3,36],[2,4,94],[2,5,59],[2,6,100],[3,4,35],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=26 Succeeded, w=26\",\"Add (3,4)=35 Succeeded, w=61\",\"Add (1,3)=36 Succeeded, w=97\",\"Add (2,5)=59 Succeeded, w=156\",\"Add (0,2)=65 Succeeded, w=221\",\"Add (4,5)=65 Failed, w=221\",\"Add (0,3)=70 Failed, w=221\",\"Add (2,4)=94 Failed, w=221\",\"Add (2,6)=100 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,65],[0,3,70],[1,3,36],[2,4,94],[2,5,59],[2,6,100],[3,4,35],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=26,(3,4)=35,(1,3)=36,(2,5)=59,(0,2)=65,(4,5)=65,(0,3)=70,(2,4)=94,(2,6)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=26\",\"Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=61\",\"Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=97\",\"Find(2)=2, Find(5)=5, Add (2,5)=59 Succeeded, w=156\",\"Find(0)=0, Find(2)=2, Add (0,2)=65 Succeeded, w=221\",\"Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=221\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=221\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=221\",\"Find(2)=0, Find(6)=6, Add (2,6)=100 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,65],[0,3,70],[1,3,36],[2,4,94],[2,5,59],[2,6,100],[3,4,35],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=26,(3,4)=35,(1,3)=36,(2,5)=59,(0,2)=65,(4,5)=65,(0,3)=70,(2,4)=94,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 5, 6: 6}, Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=59 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=65 Succeeded, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=100 Succeeded, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,79],[0,3,30],[1,2,77],[1,3,5],[2,3,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,30],[1,2,77],[1,3,5],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,30],[1,2,77],[1,3,5],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,30],[1,2,77],[1,3,5],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (2,3)=28, w=33\",\"Add (0,3)=30, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,30],[1,2,77],[1,3,5],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,3)=28 Succeeded, w=33\",\"Add (0,3)=30 Succeeded, w=63\",\"Add (1,2)=77 Failed, w=63\",\"Add (0,1)=79 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,30],[1,2,77],[1,3,5],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=28,(0,3)=30,(1,2)=77,(0,1)=79]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=1, Add (2,3)=28 Succeeded, w=33\",\"Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=63\",\"Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=63\",\"Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,30],[1,2,77],[1,3,5],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=28,(0,3)=30,(1,2)=77,(0,1)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=28 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,73],[0,5,12],[1,3,100],[2,3,11],[2,5,40],[3,4,76],[3,5,91],[4,5,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,5,12],[1,3,100],[2,3,11],[2,5,40],[3,4,76],[3,5,91],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,5,12],[1,3,100],[2,3,11],[2,5,40],[3,4,76],[3,5,91],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,5,12],[1,3,100],[2,3,11],[2,5,40],[3,4,76],[3,5,91],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (0,5)=12, w=23\",\"Add (2,5)=40, w=63\",\"Add (3,4)=76, w=139\",\"Add (1,3)=100, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,5,12],[1,3,100],[2,3,11],[2,5,40],[3,4,76],[3,5,91],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (0,5)=12 Succeeded, w=23\",\"Add (2,5)=40 Succeeded, w=63\",\"Add (0,2)=73 Failed, w=63\",\"Add (3,4)=76 Succeeded, w=139\",\"Add (4,5)=79 Failed, w=139\",\"Add (3,5)=91 Failed, w=139\",\"Add (1,3)=100 Succeeded, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,5,12],[1,3,100],[2,3,11],[2,5,40],[3,4,76],[3,5,91],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,5)=12,(2,5)=40,(0,2)=73,(3,4)=76,(4,5)=79,(3,5)=91,(1,3)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=23\",\"Find(2)=2, Find(5)=0, Add (2,5)=40 Succeeded, w=63\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=63\",\"Find(3)=2, Find(4)=4, Add (3,4)=76 Succeeded, w=139\",\"Find(4)=2, Find(5)=2, Add (4,5)=79 Failed, w=139\",\"Find(3)=2, Find(5)=2, Add (3,5)=91 Failed, w=139\",\"Find(1)=1, Find(3)=2, Add (1,3)=100 Succeeded, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,73],[0,5,12],[1,3,100],[2,3,11],[2,5,40],[3,4,76],[3,5,91],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,5)=12,(2,5)=40,(0,2)=73,(3,4)=76,(4,5)=79,(3,5)=91,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=40 Succeeded, w=63\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=63\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(3)=2, Find(4)=4, Add (3,4)=76 Succeeded, w=139\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=79 Failed, w=139\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=91 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=100 Succeeded, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,66],[0,2,33],[0,3,60],[1,2,33],[1,3,74],[2,3,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[0,3,60],[1,2,33],[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[0,3,60],[1,2,33],[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[0,3,60],[1,2,33],[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=33, w=33\",\"Add (1,2)=33, w=66\",\"Add (0,3)=60, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[0,3,60],[1,2,33],[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=33 Succeeded, w=33\",\"Add (1,2)=33 Succeeded, w=66\",\"Add (0,3)=60 Succeeded, w=126\",\"Add (0,1)=66 Failed, w=126\",\"Add (1,3)=74 Failed, w=126\",\"Add (2,3)=76 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[0,3,60],[1,2,33],[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=33,(1,2)=33,(0,3)=60,(0,1)=66,(1,3)=74,(2,3)=76]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=33\",\"Find(1)=1, Find(2)=0, Add (1,2)=33 Succeeded, w=66\",\"Find(0)=0, Find(3)=3, Add (0,3)=60 Succeeded, w=126\",\"Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=126\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,33],[0,3,60],[1,2,33],[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=33,(1,2)=33,(0,3)=60,(0,1)=66,(1,3)=74,(2,3)=76]\",\"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(1)=1, Find(2)=0, Add (1,2)=33 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=60 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,97],[1,3,72],[2,3,69],[3,4,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[1,3,72],[2,3,69],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[1,3,72],[2,3,69],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[1,3,72],[2,3,69],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=40, w=40\",\"Add (2,3)=69, w=109\",\"Add (1,3)=72, w=181\",\"Add (0,2)=97, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[1,3,72],[2,3,69],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=40 Succeeded, w=40\",\"Add (2,3)=69 Succeeded, w=109\",\"Add (1,3)=72 Succeeded, w=181\",\"Add (0,2)=97 Succeeded, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[1,3,72],[2,3,69],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=40,(2,3)=69,(1,3)=72,(0,2)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=40 Succeeded, w=40\",\"Find(2)=2, Find(3)=3, Add (2,3)=69 Succeeded, w=109\",\"Find(1)=1, Find(3)=3, Add (1,3)=72 Succeeded, w=181\",\"Find(0)=0, Find(2)=3, Add (0,2)=97 Succeeded, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,97],[1,3,72],[2,3,69],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=40,(2,3)=69,(1,3)=72,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=69 Succeeded, w=109\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=72 Succeeded, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(2)=3, Add (0,2)=97 Succeeded, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,91],[0,2,5],[0,4,12],[0,5,43],[0,6,33],[1,2,91],[1,3,56],[1,4,78],[1,5,77],[1,6,82],[2,3,93],[2,5,96],[2,6,56],[3,4,30],[3,5,37],[3,6,98],[5,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,5],[0,4,12],[0,5,43],[0,6,33],[1,2,91],[1,3,56],[1,4,78],[1,5,77],[1,6,82],[2,3,93],[2,5,96],[2,6,56],[3,4,30],[3,5,37],[3,6,98],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,5],[0,4,12],[0,5,43],[0,6,33],[1,2,91],[1,3,56],[1,4,78],[1,5,77],[1,6,82],[2,3,93],[2,5,96],[2,6,56],[3,4,30],[3,5,37],[3,6,98],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (1,3)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,5],[0,4,12],[0,5,43],[0,6,33],[1,2,91],[1,3,56],[1,4,78],[1,5,77],[1,6,82],[2,3,93],[2,5,96],[2,6,56],[3,4,30],[3,5,37],[3,6,98],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (0,4)=12, w=17\",\"Add (3,4)=30, w=47\",\"Add (0,6)=33, w=80\",\"Add (3,5)=37, w=117\",\"Add (1,3)=56, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,5],[0,4,12],[0,5,43],[0,6,33],[1,2,91],[1,3,56],[1,4,78],[1,5,77],[1,6,82],[2,3,93],[2,5,96],[2,6,56],[3,4,30],[3,5,37],[3,6,98],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (0,4)=12 Succeeded, w=17\",\"Add (3,4)=30 Succeeded, w=47\",\"Add (0,6)=33 Succeeded, w=80\",\"Add (3,5)=37 Succeeded, w=117\",\"Add (0,5)=43 Failed, w=117\",\"Add (1,3)=56 Succeeded, w=173\",\"Add (2,6)=56 Failed, w=173\",\"Add (1,5)=77 Failed, w=173\",\"Add (1,4)=78 Failed, w=173\",\"Add (1,6)=82 Failed, w=173\",\"Add (5,6)=83 Failed, w=173\",\"Add (0,1)=91 Failed, w=173\",\"Add (1,2)=91 Failed, w=173\",\"Add (2,3)=93 Failed, w=173\",\"Add (2,5)=96 Failed, w=173\",\"Add (3,6)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,5],[0,4,12],[0,5,43],[0,6,33],[1,2,91],[1,3,56],[1,4,78],[1,5,77],[1,6,82],[2,3,93],[2,5,96],[2,6,56],[3,4,30],[3,5,37],[3,6,98],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,4)=12,(3,4)=30,(0,6)=33,(3,5)=37,(0,5)=43,(1,3)=56,(2,6)=56,(1,5)=77,(1,4)=78,(1,6)=82,(5,6)=83,(0,1)=91,(1,2)=91,(2,3)=93,(2,5)=96,(3,6)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=17\",\"Find(3)=3, Find(4)=0, Add (3,4)=30 Succeeded, w=47\",\"Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=80\",\"Find(3)=0, Find(5)=5, Add (3,5)=37 Succeeded, w=117\",\"Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=117\",\"Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=173\",\"Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=173\",\"Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=173\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=173\",\"Find(1)=0, Find(6)=0, Add (1,6)=82 Failed, w=173\",\"Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=173\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=173\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=173\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=173\",\"Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=173\",\"Find(3)=0, Find(6)=0, Add (3,6)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,5],[0,4,12],[0,5,43],[0,6,33],[1,2,91],[1,3,56],[1,4,78],[1,5,77],[1,6,82],[2,3,93],[2,5,96],[2,6,56],[3,4,30],[3,5,37],[3,6,98],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,4)=12,(3,4)=30,(0,6)=33,(3,5)=37,(0,5)=43,(1,3)=56,(2,6)=56,(1,5)=77,(1,4)=78,(1,6)=82,(5,6)=83,(0,1)=91,(1,2)=91,(2,3)=93,(2,5)=96,(3,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=30 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=37 Succeeded, w=117\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=82 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,52],[0,5,50],[0,6,20],[1,2,91],[1,3,71],[1,4,82],[1,5,47],[2,3,90],[2,5,63],[2,6,71],[3,6,23],[4,6,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,5,50],[0,6,20],[1,2,91],[1,3,71],[1,4,82],[1,5,47],[2,3,90],[2,5,63],[2,6,71],[3,6,23],[4,6,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,5,50],[0,6,20],[1,2,91],[1,3,71],[1,4,82],[1,5,47],[2,3,90],[2,5,63],[2,6,71],[3,6,23],[4,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":226}",
"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],[0,5,50],[0,6,20],[1,2,91],[1,3,71],[1,4,82],[1,5,47],[2,3,90],[2,5,63],[2,6,71],[3,6,23],[4,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=20, w=20\",\"Add (3,6)=23, w=43\",\"Add (4,6)=34, w=77\",\"Add (1,5)=47, w=124\",\"Add (0,5)=50, w=174\",\"Add (0,2)=52, w=226\"],\"Answer\":226}",
"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],[0,5,50],[0,6,20],[1,2,91],[1,3,71],[1,4,82],[1,5,47],[2,3,90],[2,5,63],[2,6,71],[3,6,23],[4,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=20 Succeeded, w=20\",\"Add (3,6)=23 Succeeded, w=43\",\"Add (4,6)=34 Succeeded, w=77\",\"Add (1,5)=47 Succeeded, w=124\",\"Add (0,5)=50 Succeeded, w=174\",\"Add (0,2)=52 Succeeded, w=226\",\"Add (2,5)=63 Failed, w=226\",\"Add (1,3)=71 Failed, w=226\",\"Add (2,6)=71 Failed, w=226\",\"Add (1,4)=82 Failed, w=226\",\"Add (2,3)=90 Failed, w=226\",\"Add (1,2)=91 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,5,50],[0,6,20],[1,2,91],[1,3,71],[1,4,82],[1,5,47],[2,3,90],[2,5,63],[2,6,71],[3,6,23],[4,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=20,(3,6)=23,(4,6)=34,(1,5)=47,(0,5)=50,(0,2)=52,(2,5)=63,(1,3)=71,(2,6)=71,(1,4)=82,(2,3)=90,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=20\",\"Find(3)=3, Find(6)=0, Add (3,6)=23 Succeeded, w=43\",\"Find(4)=4, Find(6)=0, Add (4,6)=34 Succeeded, w=77\",\"Find(1)=1, Find(5)=5, Add (1,5)=47 Succeeded, w=124\",\"Find(0)=0, Find(5)=1, Add (0,5)=50 Succeeded, w=174\",\"Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=226\",\"Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=226\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=226\",\"Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=226\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=226\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=226\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,52],[0,5,50],[0,6,20],[1,2,91],[1,3,71],[1,4,82],[1,5,47],[2,3,90],[2,5,63],[2,6,71],[3,6,23],[4,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=20,(3,6)=23,(4,6)=34,(1,5)=47,(0,5)=50,(0,2)=52,(2,5)=63,(1,3)=71,(2,6)=71,(1,4)=82,(2,3)=90,(1,2)=91]\",\"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)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=23 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=34 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=47 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(5)=1, Add (0,5)=50 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,25],[0,2,17],[0,3,63],[0,4,21],[1,3,89],[1,5,54],[2,3,62],[3,5,29],[4,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,17],[0,3,63],[0,4,21],[1,3,89],[1,5,54],[2,3,62],[3,5,29],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,17],[0,3,63],[0,4,21],[1,3,89],[1,5,54],[2,3,62],[3,5,29],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (1,5)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,17],[0,3,63],[0,4,21],[1,3,89],[1,5,54],[2,3,62],[3,5,29],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (0,4)=21, w=38\",\"Add (0,1)=25, w=63\",\"Add (3,5)=29, w=92\",\"Add (1,5)=54, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,17],[0,3,63],[0,4,21],[1,3,89],[1,5,54],[2,3,62],[3,5,29],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (0,4)=21 Succeeded, w=38\",\"Add (0,1)=25 Succeeded, w=63\",\"Add (3,5)=29 Succeeded, w=92\",\"Add (1,5)=54 Succeeded, w=146\",\"Add (2,3)=62 Failed, w=146\",\"Add (0,3)=63 Failed, w=146\",\"Add (1,3)=89 Failed, w=146\",\"Add (4,5)=96 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,17],[0,3,63],[0,4,21],[1,3,89],[1,5,54],[2,3,62],[3,5,29],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,4)=21,(0,1)=25,(3,5)=29,(1,5)=54,(2,3)=62,(0,3)=63,(1,3)=89,(4,5)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=38\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=63\",\"Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=92\",\"Find(1)=0, Find(5)=3, Add (1,5)=54 Succeeded, w=146\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=146\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=146\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=146\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,17],[0,3,63],[0,4,21],[1,3,89],[1,5,54],[2,3,62],[3,5,29],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,4)=21,(0,1)=25,(3,5)=29,(1,5)=54,(2,3)=62,(0,3)=63,(1,3)=89,(4,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(5)=3, Add (1,5)=54 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,75],[0,2,27],[0,3,60],[0,4,30],[1,4,12],[2,3,50],[2,4,92],[3,4,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,27],[0,3,60],[0,4,30],[1,4,12],[2,3,50],[2,4,92],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,27],[0,3,60],[0,4,30],[1,4,12],[2,3,50],[2,4,92],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,27],[0,3,60],[0,4,30],[1,4,12],[2,3,50],[2,4,92],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=12, w=12\",\"Add (3,4)=17, w=29\",\"Add (0,2)=27, w=56\",\"Add (0,4)=30, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,27],[0,3,60],[0,4,30],[1,4,12],[2,3,50],[2,4,92],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=12 Succeeded, w=12\",\"Add (3,4)=17 Succeeded, w=29\",\"Add (0,2)=27 Succeeded, w=56\",\"Add (0,4)=30 Succeeded, w=86\",\"Add (2,3)=50 Failed, w=86\",\"Add (0,3)=60 Failed, w=86\",\"Add (0,1)=75 Failed, w=86\",\"Add (2,4)=92 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,27],[0,3,60],[0,4,30],[1,4,12],[2,3,50],[2,4,92],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=12,(3,4)=17,(0,2)=27,(0,4)=30,(2,3)=50,(0,3)=60,(0,1)=75,(2,4)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=12\",\"Find(3)=3, Find(4)=1, Add (3,4)=17 Succeeded, w=29\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=56\",\"Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=86\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=86\",\"Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=86\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=86\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,27],[0,3,60],[0,4,30],[1,4,12],[2,3,50],[2,4,92],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=12,(3,4)=17,(0,2)=27,(0,4)=30,(2,3)=50,(0,3)=60,(0,1)=75,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=17 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=30 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,18],[0,4,40],[0,5,48],[0,6,50],[1,4,90],[1,5,67],[1,6,65],[2,3,18],[2,4,8],[2,5,33],[2,6,90],[3,4,73],[3,5,72],[3,6,97],[4,5,23],[5,6,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,4,40],[0,5,48],[0,6,50],[1,4,90],[1,5,67],[1,6,65],[2,3,18],[2,4,8],[2,5,33],[2,6,90],[3,4,73],[3,5,72],[3,6,97],[4,5,23],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,4,40],[0,5,48],[0,6,50],[1,4,90],[1,5,67],[1,6,65],[2,3,18],[2,4,8],[2,5,33],[2,6,90],[3,4,73],[3,5,72],[3,6,97],[4,5,23],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (0,4)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,4,40],[0,5,48],[0,6,50],[1,4,90],[1,5,67],[1,6,65],[2,3,18],[2,4,8],[2,5,33],[2,6,90],[3,4,73],[3,5,72],[3,6,97],[4,5,23],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8, w=8\",\"Add (0,1)=18, w=26\",\"Add (2,3)=18, w=44\",\"Add (4,5)=23, w=67\",\"Add (5,6)=32, w=99\",\"Add (0,4)=40, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,4,40],[0,5,48],[0,6,50],[1,4,90],[1,5,67],[1,6,65],[2,3,18],[2,4,8],[2,5,33],[2,6,90],[3,4,73],[3,5,72],[3,6,97],[4,5,23],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8 Succeeded, w=8\",\"Add (0,1)=18 Succeeded, w=26\",\"Add (2,3)=18 Succeeded, w=44\",\"Add (4,5)=23 Succeeded, w=67\",\"Add (5,6)=32 Succeeded, w=99\",\"Add (2,5)=33 Failed, w=99\",\"Add (0,4)=40 Succeeded, w=139\",\"Add (0,5)=48 Failed, w=139\",\"Add (0,6)=50 Failed, w=139\",\"Add (1,6)=65 Failed, w=139\",\"Add (1,5)=67 Failed, w=139\",\"Add (3,5)=72 Failed, w=139\",\"Add (3,4)=73 Failed, w=139\",\"Add (1,4)=90 Failed, w=139\",\"Add (2,6)=90 Failed, w=139\",\"Add (3,6)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,4,40],[0,5,48],[0,6,50],[1,4,90],[1,5,67],[1,6,65],[2,3,18],[2,4,8],[2,5,33],[2,6,90],[3,4,73],[3,5,72],[3,6,97],[4,5,23],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(0,1)=18,(2,3)=18,(4,5)=23,(5,6)=32,(2,5)=33,(0,4)=40,(0,5)=48,(0,6)=50,(1,6)=65,(1,5)=67,(3,5)=72,(3,4)=73,(1,4)=90,(2,6)=90,(3,6)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=44\",\"Find(4)=2, Find(5)=5, Add (4,5)=23 Succeeded, w=67\",\"Find(5)=2, Find(6)=6, Add (5,6)=32 Succeeded, w=99\",\"Find(2)=2, Find(5)=2, Add (2,5)=33 Failed, w=99\",\"Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=139\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=139\",\"Find(0)=0, Find(6)=0, Add (0,6)=50 Failed, w=139\",\"Find(1)=0, Find(6)=0, Add (1,6)=65 Failed, w=139\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=139\",\"Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=139\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=139\",\"Find(2)=0, Find(6)=0, Add (2,6)=90 Failed, w=139\",\"Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,18],[0,4,40],[0,5,48],[0,6,50],[1,4,90],[1,5,67],[1,6,65],[2,3,18],[2,4,8],[2,5,33],[2,6,90],[3,4,73],[3,5,72],[3,6,97],[4,5,23],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(0,1)=18,(2,3)=18,(4,5)=23,(5,6)=32,(2,5)=33,(0,4)=40,(0,5)=48,(0,6)=50,(1,6)=65,(1,5)=67,(3,5)=72,(3,4)=73,(1,4)=90,(2,6)=90,(3,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(4)=2, Find(5)=5, Add (4,5)=23 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=32 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=33 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 2}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=50 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=65 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=90 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,86],[0,2,38],[0,3,72],[1,2,71],[1,3,33],[2,3,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,38],[0,3,72],[1,2,71],[1,3,33],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,38],[0,3,72],[1,2,71],[1,3,33],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,38],[0,3,72],[1,2,71],[1,3,33],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=22, w=22\",\"Add (1,3)=33, w=55\",\"Add (0,2)=38, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,38],[0,3,72],[1,2,71],[1,3,33],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=22 Succeeded, w=22\",\"Add (1,3)=33 Succeeded, w=55\",\"Add (0,2)=38 Succeeded, w=93\",\"Add (1,2)=71 Failed, w=93\",\"Add (0,3)=72 Failed, w=93\",\"Add (0,1)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,38],[0,3,72],[1,2,71],[1,3,33],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=22,(1,3)=33,(0,2)=38,(1,2)=71,(0,3)=72,(0,1)=86]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=22\",\"Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=55\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=93\",\"Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=93\",\"Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=93\",\"Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,38],[0,3,72],[1,2,71],[1,3,33],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=22,(1,3)=33,(0,2)=38,(1,2)=71,(0,3)=72,(0,1)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=72 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
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