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":[[0,1,87],[0,2,82],[0,3,23],[0,4,34],[0,5,35],[0,6,87],[1,3,83],[1,4,85],[1,5,3],[1,6,6],[2,3,30],[2,4,29],[2,5,81],[2,6,32],[3,4,18],[3,5,98],[3,6,79],[4,6,31],[5,6,12]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,82],[0,3,23],[0,4,34],[0,5,35],[0,6,87],[1,3,83],[1,4,85],[1,5,3],[1,6,6],[2,3,30],[2,4,29],[2,5,81],[2,6,32],[3,4,18],[3,5,98],[3,6,79],[4,6,31],[5,6,12]]}",
"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],\"edges\":[[0,1,87],[0,2,82],[0,3,23],[0,4,34],[0,5,35],[0,6,87],[1,3,83],[1,4,85],[1,5,3],[1,6,6],[2,3,30],[2,4,29],[2,5,81],[2,6,32],[3,4,18],[3,5,98],[3,6,79],[4,6,31],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,6)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (4,6)\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,87],[0,2,82],[0,3,23],[0,4,34],[0,5,35],[0,6,87],[1,3,83],[1,4,85],[1,5,3],[1,6,6],[2,3,30],[2,4,29],[2,5,81],[2,6,32],[3,4,18],[3,5,98],[3,6,79],[4,6,31],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (1,6)=6, w=9\",\"Add (3,4)=18, w=27\",\"Add (0,3)=23, w=50\",\"Add (2,4)=29, w=79\",\"Add (4,6)=31, 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],\"edges\":[[0,1,87],[0,2,82],[0,3,23],[0,4,34],[0,5,35],[0,6,87],[1,3,83],[1,4,85],[1,5,3],[1,6,6],[2,3,30],[2,4,29],[2,5,81],[2,6,32],[3,4,18],[3,5,98],[3,6,79],[4,6,31],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (1,6)=6 Succeeded, w=9\",\"Add (5,6)=12 Failed, w=9\",\"Add (3,4)=18 Succeeded, w=27\",\"Add (0,3)=23 Succeeded, w=50\",\"Add (2,4)=29 Succeeded, w=79\",\"Add (2,3)=30 Failed, w=79\",\"Add (4,6)=31 Succeeded, w=110\",\"Add (2,6)=32 Failed, w=110\",\"Add (0,4)=34 Failed, w=110\",\"Add (0,5)=35 Failed, w=110\",\"Add (3,6)=79 Failed, w=110\",\"Add (2,5)=81 Failed, w=110\",\"Add (0,2)=82 Failed, w=110\",\"Add (1,3)=83 Failed, w=110\",\"Add (1,4)=85 Failed, w=110\",\"Add (0,1)=87 Failed, w=110\",\"Add (0,6)=87 Failed, w=110\",\"Add (3,5)=98 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],\"edges\":[[0,1,87],[0,2,82],[0,3,23],[0,4,34],[0,5,35],[0,6,87],[1,3,83],[1,4,85],[1,5,3],[1,6,6],[2,3,30],[2,4,29],[2,5,81],[2,6,32],[3,4,18],[3,5,98],[3,6,79],[4,6,31],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(1,6)=6,(5,6)=12,(3,4)=18,(0,3)=23,(2,4)=29,(2,3)=30,(4,6)=31,(2,6)=32,(0,4)=34,(0,5)=35,(3,6)=79,(2,5)=81,(0,2)=82,(1,3)=83,(1,4)=85,(0,1)=87,(0,6)=87,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=9\",\"Find(5)=1, Find(6)=1, Add (5,6)=12 Failed, w=9\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=27\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=50\",\"Find(2)=2, Find(4)=3, Add (2,4)=29 Succeeded, w=79\",\"Find(2)=3, Find(3)=3, Add (2,3)=30 Failed, w=79\",\"Find(4)=3, Find(6)=1, Add (4,6)=31 Succeeded, w=110\",\"Find(2)=3, Find(6)=3, Add (2,6)=32 Failed, w=110\",\"Find(0)=3, Find(4)=3, Add (0,4)=34 Failed, w=110\",\"Find(0)=3, Find(5)=3, Add (0,5)=35 Failed, w=110\",\"Find(3)=3, Find(6)=3, Add (3,6)=79 Failed, w=110\",\"Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=110\",\"Find(0)=3, Find(2)=3, Add (0,2)=82 Failed, w=110\",\"Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=110\",\"Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=110\",\"Find(0)=3, Find(1)=3, Add (0,1)=87 Failed, w=110\",\"Find(0)=3, Find(6)=3, Add (0,6)=87 Failed, w=110\",\"Find(3)=3, Find(5)=3, Add (3,5)=98 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],\"edges\":[[0,1,87],[0,2,82],[0,3,23],[0,4,34],[0,5,35],[0,6,87],[1,3,83],[1,4,85],[1,5,3],[1,6,6],[2,3,30],[2,4,29],[2,5,81],[2,6,32],[3,4,18],[3,5,98],[3,6,79],[4,6,31],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(1,6)=6,(5,6)=12,(3,4)=18,(0,3)=23,(2,4)=29,(2,3)=30,(4,6)=31,(2,6)=32,(0,4)=34,(0,5)=35,(3,6)=79,(2,5)=81,(0,2)=82,(1,3)=83,(1,4)=85,(0,1)=87,(0,6)=87,(3,5)=98]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 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: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=12 Failed, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=27\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=50\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1}, Find(2)=2, Find(4)=3, Add (2,4)=29 Succeeded, w=79\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1}, Find(2)=3, Find(3)=3, Add (2,3)=30 Failed, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1}, Find(4)=3, Find(6)=1, Add (4,6)=31 Succeeded, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=32 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=34 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=35 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=79 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=82 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=85 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=87 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=87 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=98 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[0,2,41],[0,3,98],[1,2,18],[1,3,60],[2,3,13]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,41],[0,3,98],[1,2,18],[1,3,60],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,41],[0,3,98],[1,2,18],[1,3,60],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,41],[0,3,98],[1,2,18],[1,3,60],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (0,1)=14, w=27\",\"Add (1,2)=18, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,41],[0,3,98],[1,2,18],[1,3,60],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (0,1)=14 Succeeded, w=27\",\"Add (1,2)=18 Succeeded, w=45\",\"Add (0,2)=41 Failed, w=45\",\"Add (1,3)=60 Failed, w=45\",\"Add (0,3)=98 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,41],[0,3,98],[1,2,18],[1,3,60],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(0,1)=14,(1,2)=18,(0,2)=41,(1,3)=60,(0,3)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=27\",\"Find(1)=0, Find(2)=2, Add (1,2)=18 Succeeded, w=45\",\"Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=45\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=45\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,41],[0,3,98],[1,2,18],[1,3,60],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(0,1)=14,(1,2)=18,(0,2)=41,(1,3)=60,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,31],[0,2,70],[0,3,28],[1,2,62],[2,3,84]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,70],[0,3,28],[1,2,62],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,70],[0,3,28],[1,2,62],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,70],[0,3,28],[1,2,62],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=28, w=28\",\"Add (0,1)=31, w=59\",\"Add (1,2)=62, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,70],[0,3,28],[1,2,62],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=28 Succeeded, w=28\",\"Add (0,1)=31 Succeeded, w=59\",\"Add (1,2)=62 Succeeded, w=121\",\"Add (0,2)=70 Failed, w=121\",\"Add (2,3)=84 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,70],[0,3,28],[1,2,62],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=28,(0,1)=31,(1,2)=62,(0,2)=70,(2,3)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=59\",\"Find(1)=0, Find(2)=2, Add (1,2)=62 Succeeded, w=121\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=121\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,70],[0,3,28],[1,2,62],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=28,(0,1)=31,(1,2)=62,(0,2)=70,(2,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=62 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,25],[0,2,7],[0,3,21],[0,4,94],[0,5,61],[0,6,97],[0,7,39],[1,2,44],[1,3,79],[1,4,52],[1,5,92],[1,6,31],[1,7,92],[2,3,90],[2,4,24],[2,5,81],[2,6,99],[2,7,20],[3,4,26],[3,5,96],[3,6,14],[3,7,62],[4,5,66],[4,6,36],[4,7,95],[5,6,6],[5,7,3],[6,7,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,7],[0,3,21],[0,4,94],[0,5,61],[0,6,97],[0,7,39],[1,2,44],[1,3,79],[1,4,52],[1,5,92],[1,6,31],[1,7,92],[2,3,90],[2,4,24],[2,5,81],[2,6,99],[2,7,20],[3,4,26],[3,5,96],[3,6,14],[3,7,62],[4,5,66],[4,6,36],[4,7,95],[5,6,6],[5,7,3],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,7],[0,3,21],[0,4,94],[0,5,61],[0,6,97],[0,7,39],[1,2,44],[1,3,79],[1,4,52],[1,5,92],[1,6,31],[1,7,92],[2,3,90],[2,4,24],[2,5,81],[2,6,99],[2,7,20],[3,4,26],[3,5,96],[3,6,14],[3,7,62],[4,5,66],[4,6,36],[4,7,95],[5,6,6],[5,7,3],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (2,7)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,7],[0,3,21],[0,4,94],[0,5,61],[0,6,97],[0,7,39],[1,2,44],[1,3,79],[1,4,52],[1,5,92],[1,6,31],[1,7,92],[2,3,90],[2,4,24],[2,5,81],[2,6,99],[2,7,20],[3,4,26],[3,5,96],[3,6,14],[3,7,62],[4,5,66],[4,6,36],[4,7,95],[5,6,6],[5,7,3],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=3, w=3\",\"Add (5,6)=6, w=9\",\"Add (0,2)=7, w=16\",\"Add (3,6)=14, w=30\",\"Add (2,7)=20, w=50\",\"Add (2,4)=24, w=74\",\"Add (0,1)=25, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,7],[0,3,21],[0,4,94],[0,5,61],[0,6,97],[0,7,39],[1,2,44],[1,3,79],[1,4,52],[1,5,92],[1,6,31],[1,7,92],[2,3,90],[2,4,24],[2,5,81],[2,6,99],[2,7,20],[3,4,26],[3,5,96],[3,6,14],[3,7,62],[4,5,66],[4,6,36],[4,7,95],[5,6,6],[5,7,3],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=3 Succeeded, w=3\",\"Add (5,6)=6 Succeeded, w=9\",\"Add (0,2)=7 Succeeded, w=16\",\"Add (3,6)=14 Succeeded, w=30\",\"Add (2,7)=20 Succeeded, w=50\",\"Add (0,3)=21 Failed, w=50\",\"Add (2,4)=24 Succeeded, w=74\",\"Add (0,1)=25 Succeeded, w=99\",\"Add (3,4)=26 Failed, w=99\",\"Add (1,6)=31 Failed, w=99\",\"Add (4,6)=36 Failed, w=99\",\"Add (0,7)=39 Failed, w=99\",\"Add (1,2)=44 Failed, w=99\",\"Add (1,4)=52 Failed, w=99\",\"Add (0,5)=61 Failed, w=99\",\"Add (3,7)=62 Failed, w=99\",\"Add (4,5)=66 Failed, w=99\",\"Add (1,3)=79 Failed, w=99\",\"Add (2,5)=81 Failed, w=99\",\"Add (6,7)=85 Failed, w=99\",\"Add (2,3)=90 Failed, w=99\",\"Add (1,5)=92 Failed, w=99\",\"Add (1,7)=92 Failed, w=99\",\"Add (0,4)=94 Failed, w=99\",\"Add (4,7)=95 Failed, w=99\",\"Add (3,5)=96 Failed, w=99\",\"Add (0,6)=97 Failed, w=99\",\"Add (2,6)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,7],[0,3,21],[0,4,94],[0,5,61],[0,6,97],[0,7,39],[1,2,44],[1,3,79],[1,4,52],[1,5,92],[1,6,31],[1,7,92],[2,3,90],[2,4,24],[2,5,81],[2,6,99],[2,7,20],[3,4,26],[3,5,96],[3,6,14],[3,7,62],[4,5,66],[4,6,36],[4,7,95],[5,6,6],[5,7,3],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=3,(5,6)=6,(0,2)=7,(3,6)=14,(2,7)=20,(0,3)=21,(2,4)=24,(0,1)=25,(3,4)=26,(1,6)=31,(4,6)=36,(0,7)=39,(1,2)=44,(1,4)=52,(0,5)=61,(3,7)=62,(4,5)=66,(1,3)=79,(2,5)=81,(6,7)=85,(2,3)=90,(1,5)=92,(1,7)=92,(0,4)=94,(4,7)=95,(3,5)=96,(0,6)=97,(2,6)=99]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=3 Succeeded, w=3\",\"Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=16\",\"Find(3)=3, Find(6)=5, Add (3,6)=14 Succeeded, w=30\",\"Find(2)=0, Find(7)=5, Add (2,7)=20 Succeeded, w=50\",\"Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=50\",\"Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=74\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=99\",\"Find(3)=0, Find(4)=0, Add (3,4)=26 Failed, w=99\",\"Find(1)=0, Find(6)=0, Add (1,6)=31 Failed, w=99\",\"Find(4)=0, Find(6)=0, Add (4,6)=36 Failed, w=99\",\"Find(0)=0, Find(7)=0, Add (0,7)=39 Failed, w=99\",\"Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=99\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=99\",\"Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=99\",\"Find(3)=0, Find(7)=0, Add (3,7)=62 Failed, w=99\",\"Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=99\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=99\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=99\",\"Find(6)=0, Find(7)=0, Add (6,7)=85 Failed, w=99\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=99\",\"Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=99\",\"Find(1)=0, Find(7)=0, Add (1,7)=92 Failed, w=99\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=99\",\"Find(4)=0, Find(7)=0, Add (4,7)=95 Failed, w=99\",\"Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=99\",\"Find(0)=0, Find(6)=0, Add (0,6)=97 Failed, w=99\",\"Find(2)=0, Find(6)=0, Add (2,6)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,2,7],[0,3,21],[0,4,94],[0,5,61],[0,6,97],[0,7,39],[1,2,44],[1,3,79],[1,4,52],[1,5,92],[1,6,31],[1,7,92],[2,3,90],[2,4,24],[2,5,81],[2,6,99],[2,7,20],[3,4,26],[3,5,96],[3,6,14],[3,7,62],[4,5,66],[4,6,36],[4,7,95],[5,6,6],[5,7,3],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=3,(5,6)=6,(0,2)=7,(3,6)=14,(2,7)=20,(0,3)=21,(2,4)=24,(0,1)=25,(3,4)=26,(1,6)=31,(4,6)=36,(0,7)=39,(1,2)=44,(1,4)=52,(0,5)=61,(3,7)=62,(4,5)=66,(1,3)=79,(2,5)=81,(6,7)=85,(2,3)=90,(1,5)=92,(1,7)=92,(0,4)=94,(4,7)=95,(3,5)=96,(0,6)=97,(2,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(6)=5, Add (3,6)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 5, 4: 4, 5: 0, 6: 5, 7: 5}, Find(2)=0, Find(7)=5, Add (2,7)=20 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 5}, Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 5}, Find(3)=0, Find(4)=0, Add (3,4)=26 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(6)=0, Add (1,6)=31 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(4)=0, Find(6)=0, Add (4,6)=36 Failed, w=99\",\"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)=39 Failed, w=99\",\"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)=44 Failed, w=99\",\"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)=52 Failed, w=99\",\"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)=61 Failed, w=99\",\"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)=62 Failed, w=99\",\"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)=66 Failed, w=99\",\"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)=79 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=99\",\"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)=85 Failed, w=99\",\"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)=90 Failed, w=99\",\"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)=92 Failed, w=99\",\"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)=92 Failed, w=99\",\"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)=94 Failed, w=99\",\"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)=95 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=99\",\"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)=97 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,64],[0,4,49],[1,2,88],[2,3,22],[2,4,95],[3,4,29]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,64],[0,4,49],[1,2,88],[2,3,22],[2,4,95],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,64],[0,4,49],[1,2,88],[2,3,22],[2,4,95],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,64],[0,4,49],[1,2,88],[2,3,22],[2,4,95],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=22, w=22\",\"Add (3,4)=29, w=51\",\"Add (0,4)=49, w=100\",\"Add (1,2)=88, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,64],[0,4,49],[1,2,88],[2,3,22],[2,4,95],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=22 Succeeded, w=22\",\"Add (3,4)=29 Succeeded, w=51\",\"Add (0,4)=49 Succeeded, w=100\",\"Add (0,3)=64 Failed, w=100\",\"Add (1,2)=88 Succeeded, w=188\",\"Add (2,4)=95 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,64],[0,4,49],[1,2,88],[2,3,22],[2,4,95],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=22,(3,4)=29,(0,4)=49,(0,3)=64,(1,2)=88,(2,4)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=22\",\"Find(3)=2, Find(4)=4, Add (3,4)=29 Succeeded, w=51\",\"Find(0)=0, Find(4)=2, Add (0,4)=49 Succeeded, w=100\",\"Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=100\",\"Find(1)=1, Find(2)=2, Add (1,2)=88 Succeeded, w=188\",\"Find(2)=2, Find(4)=2, Add (2,4)=95 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,64],[0,4,49],[1,2,88],[2,3,22],[2,4,95],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=22,(3,4)=29,(0,4)=49,(0,3)=64,(1,2)=88,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=29 Succeeded, w=51\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=49 Succeeded, w=100\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=88 Succeeded, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=95 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,31],[0,2,3],[0,3,32],[0,4,85],[0,5,36],[0,6,100],[0,7,26],[1,2,67],[1,3,76],[1,4,0],[1,5,10],[1,6,70],[1,7,58],[2,3,49],[2,4,60],[2,5,95],[2,6,12],[2,7,24],[3,4,69],[3,5,67],[3,6,22],[3,7,36],[4,5,77],[4,6,6],[4,7,36],[5,6,40],[5,7,50],[6,7,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,3],[0,3,32],[0,4,85],[0,5,36],[0,6,100],[0,7,26],[1,2,67],[1,3,76],[1,4,0],[1,5,10],[1,6,70],[1,7,58],[2,3,49],[2,4,60],[2,5,95],[2,6,12],[2,7,24],[3,4,69],[3,5,67],[3,6,22],[3,7,36],[4,5,77],[4,6,6],[4,7,36],[5,6,40],[5,7,50],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,3],[0,3,32],[0,4,85],[0,5,36],[0,6,100],[0,7,26],[1,2,67],[1,3,76],[1,4,0],[1,5,10],[1,6,70],[1,7,58],[2,3,49],[2,4,60],[2,5,95],[2,6,12],[2,7,24],[3,4,69],[3,5,67],[3,6,22],[3,7,36],[4,5,77],[4,6,6],[4,7,36],[5,6,40],[5,7,50],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (2,7)\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,3],[0,3,32],[0,4,85],[0,5,36],[0,6,100],[0,7,26],[1,2,67],[1,3,76],[1,4,0],[1,5,10],[1,6,70],[1,7,58],[2,3,49],[2,4,60],[2,5,95],[2,6,12],[2,7,24],[3,4,69],[3,5,67],[3,6,22],[3,7,36],[4,5,77],[4,6,6],[4,7,36],[5,6,40],[5,7,50],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,2)=3, w=3\",\"Add (4,6)=6, w=9\",\"Add (1,5)=10, w=19\",\"Add (2,6)=12, w=31\",\"Add (3,6)=22, w=53\",\"Add (2,7)=24, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,3],[0,3,32],[0,4,85],[0,5,36],[0,6,100],[0,7,26],[1,2,67],[1,3,76],[1,4,0],[1,5,10],[1,6,70],[1,7,58],[2,3,49],[2,4,60],[2,5,95],[2,6,12],[2,7,24],[3,4,69],[3,5,67],[3,6,22],[3,7,36],[4,5,77],[4,6,6],[4,7,36],[5,6,40],[5,7,50],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,2)=3 Succeeded, w=3\",\"Add (4,6)=6 Succeeded, w=9\",\"Add (1,5)=10 Succeeded, w=19\",\"Add (2,6)=12 Succeeded, w=31\",\"Add (3,6)=22 Succeeded, w=53\",\"Add (2,7)=24 Succeeded, w=77\",\"Add (0,7)=26 Failed, w=77\",\"Add (0,1)=31 Failed, w=77\",\"Add (0,3)=32 Failed, w=77\",\"Add (0,5)=36 Failed, w=77\",\"Add (3,7)=36 Failed, w=77\",\"Add (4,7)=36 Failed, w=77\",\"Add (5,6)=40 Failed, w=77\",\"Add (2,3)=49 Failed, w=77\",\"Add (5,7)=50 Failed, w=77\",\"Add (1,7)=58 Failed, w=77\",\"Add (2,4)=60 Failed, w=77\",\"Add (1,2)=67 Failed, w=77\",\"Add (3,5)=67 Failed, w=77\",\"Add (3,4)=69 Failed, w=77\",\"Add (1,6)=70 Failed, w=77\",\"Add (1,3)=76 Failed, w=77\",\"Add (4,5)=77 Failed, w=77\",\"Add (0,4)=85 Failed, w=77\",\"Add (2,5)=95 Failed, w=77\",\"Add (6,7)=96 Failed, w=77\",\"Add (0,6)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,3],[0,3,32],[0,4,85],[0,5,36],[0,6,100],[0,7,26],[1,2,67],[1,3,76],[1,4,0],[1,5,10],[1,6,70],[1,7,58],[2,3,49],[2,4,60],[2,5,95],[2,6,12],[2,7,24],[3,4,69],[3,5,67],[3,6,22],[3,7,36],[4,5,77],[4,6,6],[4,7,36],[5,6,40],[5,7,50],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,2)=3,(4,6)=6,(1,5)=10,(2,6)=12,(3,6)=22,(2,7)=24,(0,7)=26,(0,1)=31,(0,3)=32,(0,5)=36,(3,7)=36,(4,7)=36,(5,6)=40,(2,3)=49,(5,7)=50,(1,7)=58,(2,4)=60,(1,2)=67,(3,5)=67,(3,4)=69,(1,6)=70,(1,3)=76,(4,5)=77,(0,4)=85,(2,5)=95,(6,7)=96,(0,6)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(4)=1, Find(6)=6, Add (4,6)=6 Succeeded, w=9\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=19\",\"Find(2)=0, Find(6)=1, Add (2,6)=12 Succeeded, w=31\",\"Find(3)=3, Find(6)=0, Add (3,6)=22 Succeeded, w=53\",\"Find(2)=0, Find(7)=7, Add (2,7)=24 Succeeded, w=77\",\"Find(0)=0, Find(7)=0, Add (0,7)=26 Failed, w=77\",\"Find(0)=0, Find(1)=0, Add (0,1)=31 Failed, w=77\",\"Find(0)=0, Find(3)=0, Add (0,3)=32 Failed, w=77\",\"Find(0)=0, Find(5)=0, Add (0,5)=36 Failed, w=77\",\"Find(3)=0, Find(7)=0, Add (3,7)=36 Failed, w=77\",\"Find(4)=0, Find(7)=0, Add (4,7)=36 Failed, w=77\",\"Find(5)=0, Find(6)=0, Add (5,6)=40 Failed, w=77\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=77\",\"Find(5)=0, Find(7)=0, Add (5,7)=50 Failed, w=77\",\"Find(1)=0, Find(7)=0, Add (1,7)=58 Failed, w=77\",\"Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=77\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=77\",\"Find(3)=0, Find(5)=0, Add (3,5)=67 Failed, w=77\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=77\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=77\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=77\",\"Find(4)=0, Find(5)=0, Add (4,5)=77 Failed, w=77\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=77\",\"Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=77\",\"Find(6)=0, Find(7)=0, Add (6,7)=96 Failed, w=77\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,3],[0,3,32],[0,4,85],[0,5,36],[0,6,100],[0,7,26],[1,2,67],[1,3,76],[1,4,0],[1,5,10],[1,6,70],[1,7,58],[2,3,49],[2,4,60],[2,5,95],[2,6,12],[2,7,24],[3,4,69],[3,5,67],[3,6,22],[3,7,36],[4,5,77],[4,6,6],[4,7,36],[5,6,40],[5,7,50],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,2)=3,(4,6)=6,(1,5)=10,(2,6)=12,(3,6)=22,(2,7)=24,(0,7)=26,(0,1)=31,(0,3)=32,(0,5)=36,(3,7)=36,(4,7)=36,(5,6)=40,(2,3)=49,(5,7)=50,(1,7)=58,(2,4)=60,(1,2)=67,(3,5)=67,(3,4)=69,(1,6)=70,(1,3)=76,(4,5)=77,(0,4)=85,(2,5)=95,(6,7)=96,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=1, Find(6)=6, Add (4,6)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=0, Find(6)=1, Add (2,6)=12 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 7}, Find(3)=3, Find(6)=0, Add (3,6)=22 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=24 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=26 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=31 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=32 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=36 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=36 Failed, w=77\",\"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)=36 Failed, w=77\",\"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)=40 Failed, w=77\",\"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)=49 Failed, w=77\",\"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)=50 Failed, w=77\",\"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)=58 Failed, w=77\",\"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)=60 Failed, w=77\",\"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)=67 Failed, w=77\",\"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)=67 Failed, w=77\",\"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)=69 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=77\",\"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)=76 Failed, w=77\",\"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)=77 Failed, w=77\",\"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)=85 Failed, w=77\",\"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)=95 Failed, w=77\",\"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)=96 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,61],[0,2,46]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=46, w=46\",\"Add (0,1)=61, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=46 Succeeded, w=46\",\"Add (0,1)=61 Succeeded, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=46,(0,1)=61]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=46\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=46,(0,1)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,2,50],[0,3,54],[0,4,86],[1,2,86],[1,3,38],[1,4,82],[2,3,12],[2,4,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,50],[0,3,54],[0,4,86],[1,2,86],[1,3,38],[1,4,82],[2,3,12],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,50],[0,3,54],[0,4,86],[1,2,86],[1,3,38],[1,4,82],[2,3,12],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,50],[0,3,54],[0,4,86],[1,2,86],[1,3,38],[1,4,82],[2,3,12],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (0,1)=38, w=50\",\"Add (1,3)=38, w=88\",\"Add (1,4)=82, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,50],[0,3,54],[0,4,86],[1,2,86],[1,3,38],[1,4,82],[2,3,12],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (0,1)=38 Succeeded, w=50\",\"Add (1,3)=38 Succeeded, w=88\",\"Add (0,2)=50 Failed, w=88\",\"Add (0,3)=54 Failed, w=88\",\"Add (1,4)=82 Succeeded, w=170\",\"Add (0,4)=86 Failed, w=170\",\"Add (1,2)=86 Failed, w=170\",\"Add (2,4)=98 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,50],[0,3,54],[0,4,86],[1,2,86],[1,3,38],[1,4,82],[2,3,12],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,1)=38,(1,3)=38,(0,2)=50,(0,3)=54,(1,4)=82,(0,4)=86,(1,2)=86,(2,4)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=50\",\"Find(1)=0, Find(3)=2, Add (1,3)=38 Succeeded, w=88\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=88\",\"Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=88\",\"Find(1)=0, Find(4)=4, Add (1,4)=82 Succeeded, w=170\",\"Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=170\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=170\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,50],[0,3,54],[0,4,86],[1,2,86],[1,3,38],[1,4,82],[2,3,12],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,1)=38,(1,3)=38,(0,2)=50,(0,3)=54,(1,4)=82,(0,4)=86,(1,2)=86,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(3)=2, Add (1,3)=38 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=82 Succeeded, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,16],[0,2,86],[0,3,9],[0,5,28],[1,2,48],[1,3,25],[1,4,72],[2,3,17],[2,4,25],[2,5,63],[2,6,52],[3,4,13],[3,5,94],[3,6,34],[4,5,94],[4,6,2],[5,6,30]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,86],[0,3,9],[0,5,28],[1,2,48],[1,3,25],[1,4,72],[2,3,17],[2,4,25],[2,5,63],[2,6,52],[3,4,13],[3,5,94],[3,6,34],[4,5,94],[4,6,2],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,86],[0,3,9],[0,5,28],[1,2,48],[1,3,25],[1,4,72],[2,3,17],[2,4,25],[2,5,63],[2,6,52],[3,4,13],[3,5,94],[3,6,34],[4,5,94],[4,6,2],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,5)\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,86],[0,3,9],[0,5,28],[1,2,48],[1,3,25],[1,4,72],[2,3,17],[2,4,25],[2,5,63],[2,6,52],[3,4,13],[3,5,94],[3,6,34],[4,5,94],[4,6,2],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2, w=2\",\"Add (0,3)=9, w=11\",\"Add (3,4)=13, w=24\",\"Add (0,1)=16, w=40\",\"Add (2,3)=17, w=57\",\"Add (0,5)=28, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,86],[0,3,9],[0,5,28],[1,2,48],[1,3,25],[1,4,72],[2,3,17],[2,4,25],[2,5,63],[2,6,52],[3,4,13],[3,5,94],[3,6,34],[4,5,94],[4,6,2],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2 Succeeded, w=2\",\"Add (0,3)=9 Succeeded, w=11\",\"Add (3,4)=13 Succeeded, w=24\",\"Add (0,1)=16 Succeeded, w=40\",\"Add (2,3)=17 Succeeded, w=57\",\"Add (1,3)=25 Failed, w=57\",\"Add (2,4)=25 Failed, w=57\",\"Add (0,5)=28 Succeeded, w=85\",\"Add (5,6)=30 Failed, w=85\",\"Add (3,6)=34 Failed, w=85\",\"Add (1,2)=48 Failed, w=85\",\"Add (2,6)=52 Failed, w=85\",\"Add (2,5)=63 Failed, w=85\",\"Add (1,4)=72 Failed, w=85\",\"Add (0,2)=86 Failed, w=85\",\"Add (3,5)=94 Failed, w=85\",\"Add (4,5)=94 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,86],[0,3,9],[0,5,28],[1,2,48],[1,3,25],[1,4,72],[2,3,17],[2,4,25],[2,5,63],[2,6,52],[3,4,13],[3,5,94],[3,6,34],[4,5,94],[4,6,2],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(0,3)=9,(3,4)=13,(0,1)=16,(2,3)=17,(1,3)=25,(2,4)=25,(0,5)=28,(5,6)=30,(3,6)=34,(1,2)=48,(2,6)=52,(2,5)=63,(1,4)=72,(0,2)=86,(3,5)=94,(4,5)=94]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=11\",\"Find(3)=0, Find(4)=4, Add (3,4)=13 Succeeded, w=24\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=40\",\"Find(2)=2, Find(3)=0, Add (2,3)=17 Succeeded, w=57\",\"Find(1)=0, Find(3)=0, Add (1,3)=25 Failed, w=57\",\"Find(2)=0, Find(4)=0, Add (2,4)=25 Failed, w=57\",\"Find(0)=0, Find(5)=5, Add (0,5)=28 Succeeded, w=85\",\"Find(5)=0, Find(6)=0, Add (5,6)=30 Failed, w=85\",\"Find(3)=0, Find(6)=0, Add (3,6)=34 Failed, w=85\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=85\",\"Find(2)=0, Find(6)=0, Add (2,6)=52 Failed, w=85\",\"Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=85\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=85\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,86],[0,3,9],[0,5,28],[1,2,48],[1,3,25],[1,4,72],[2,3,17],[2,4,25],[2,5,63],[2,6,52],[3,4,13],[3,5,94],[3,6,34],[4,5,94],[4,6,2],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(0,3)=9,(3,4)=13,(0,1)=16,(2,3)=17,(1,3)=25,(2,4)=25,(0,5)=28,(5,6)=30,(3,6)=34,(1,2)=48,(2,6)=52,(2,5)=63,(1,4)=72,(0,2)=86,(3,5)=94,(4,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 4}, Find(3)=0, Find(4)=4, Add (3,4)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4}, Find(2)=2, Find(3)=0, Add (2,3)=17 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4}, Find(1)=0, Find(3)=0, Add (1,3)=25 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4}, Find(2)=0, Find(4)=0, Add (2,4)=25 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(5)=5, Add (0,5)=28 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=30 Failed, w=85\",\"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=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=52 Failed, w=85\",\"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=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,2],[1,3,74],[1,4,36]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,2],[1,3,74],[1,4,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,2],[1,3,74],[1,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,2],[1,3,74],[1,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (0,1)=14, w=16\",\"Add (1,4)=36, w=52\",\"Add (1,3)=74, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,2],[1,3,74],[1,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (0,1)=14 Succeeded, w=16\",\"Add (1,4)=36 Succeeded, w=52\",\"Add (1,3)=74 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,2],[1,3,74],[1,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,1)=14,(1,4)=36,(1,3)=74]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=16\",\"Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=52\",\"Find(1)=0, Find(3)=3, Add (1,3)=74 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,2],[1,3,74],[1,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,1)=14,(1,4)=36,(1,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=74 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,35],[0,3,18],[1,2,59],[1,3,19]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,18],[1,2,59],[1,3,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,18],[1,2,59],[1,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,18],[1,2,59],[1,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=18, w=18\",\"Add (1,3)=19, w=37\",\"Add (0,2)=35, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,18],[1,2,59],[1,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=18 Succeeded, w=18\",\"Add (1,3)=19 Succeeded, w=37\",\"Add (0,2)=35 Succeeded, w=72\",\"Add (1,2)=59 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,18],[1,2,59],[1,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=18,(1,3)=19,(0,2)=35,(1,2)=59]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Find(1)=1, Find(3)=0, Add (1,3)=19 Succeeded, w=37\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=72\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,35],[0,3,18],[1,2,59],[1,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=18,(1,3)=19,(0,2)=35,(1,2)=59]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,43],[0,2,33],[0,3,35],[1,2,81],[1,3,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,33],[0,3,35],[1,2,81],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,33],[0,3,35],[1,2,81],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,33],[0,3,35],[1,2,81],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=33, w=33\",\"Add (0,3)=35, w=68\",\"Add (0,1)=43, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,33],[0,3,35],[1,2,81],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=33 Succeeded, w=33\",\"Add (0,3)=35 Succeeded, w=68\",\"Add (0,1)=43 Succeeded, w=111\",\"Add (1,3)=63 Failed, w=111\",\"Add (1,2)=81 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,33],[0,3,35],[1,2,81],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=33,(0,3)=35,(0,1)=43,(1,3)=63,(1,2)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=33\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=68\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=111\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=111\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,33],[0,3,35],[1,2,81],[1,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=33,(0,3)=35,(0,1)=43,(1,3)=63,(1,2)=81]\",\"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: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,3,77],[0,4,18],[1,2,31],[1,3,26],[1,4,22],[1,5,95],[2,3,51],[2,4,33],[2,5,77],[3,4,25],[3,5,79],[4,5,53]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,77],[0,4,18],[1,2,31],[1,3,26],[1,4,22],[1,5,95],[2,3,51],[2,4,33],[2,5,77],[3,4,25],[3,5,79],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,77],[0,4,18],[1,2,31],[1,3,26],[1,4,22],[1,5,95],[2,3,51],[2,4,33],[2,5,77],[3,4,25],[3,5,79],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (4,5)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,77],[0,4,18],[1,2,31],[1,3,26],[1,4,22],[1,5,95],[2,3,51],[2,4,33],[2,5,77],[3,4,25],[3,5,79],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=18, w=18\",\"Add (1,4)=22, w=40\",\"Add (3,4)=25, w=65\",\"Add (1,2)=31, w=96\",\"Add (4,5)=53, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,77],[0,4,18],[1,2,31],[1,3,26],[1,4,22],[1,5,95],[2,3,51],[2,4,33],[2,5,77],[3,4,25],[3,5,79],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=18 Succeeded, w=18\",\"Add (1,4)=22 Succeeded, w=40\",\"Add (3,4)=25 Succeeded, w=65\",\"Add (1,3)=26 Failed, w=65\",\"Add (1,2)=31 Succeeded, w=96\",\"Add (2,4)=33 Failed, w=96\",\"Add (2,3)=51 Failed, w=96\",\"Add (4,5)=53 Succeeded, w=149\",\"Add (0,3)=77 Failed, w=149\",\"Add (2,5)=77 Failed, w=149\",\"Add (3,5)=79 Failed, w=149\",\"Add (0,1)=95 Failed, w=149\",\"Add (1,5)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,77],[0,4,18],[1,2,31],[1,3,26],[1,4,22],[1,5,95],[2,3,51],[2,4,33],[2,5,77],[3,4,25],[3,5,79],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=18,(1,4)=22,(3,4)=25,(1,3)=26,(1,2)=31,(2,4)=33,(2,3)=51,(4,5)=53,(0,3)=77,(2,5)=77,(3,5)=79,(0,1)=95,(1,5)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=18\",\"Find(1)=1, Find(4)=0, Add (1,4)=22 Succeeded, w=40\",\"Find(3)=3, Find(4)=0, Add (3,4)=25 Succeeded, w=65\",\"Find(1)=0, Find(3)=0, Add (1,3)=26 Failed, w=65\",\"Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=96\",\"Find(4)=0, Find(5)=5, Add (4,5)=53 Succeeded, w=149\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=149\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=149\",\"Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=149\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=149\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,3,77],[0,4,18],[1,2,31],[1,3,26],[1,4,22],[1,5,95],[2,3,51],[2,4,33],[2,5,77],[3,4,25],[3,5,79],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=18,(1,4)=22,(3,4)=25,(1,3)=26,(1,2)=31,(2,4)=33,(2,3)=51,(4,5)=53,(0,3)=77,(2,5)=77,(3,5)=79,(0,1)=95,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=3, Find(4)=0, Add (3,4)=25 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(3)=0, Add (1,3)=26 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=53 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,21],[0,2,6],[0,3,96],[0,4,82],[0,5,41],[1,2,3],[1,3,7],[1,4,84],[1,5,59],[2,3,97],[2,4,89],[2,5,85],[3,4,13],[3,5,81],[4,5,44]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,6],[0,3,96],[0,4,82],[0,5,41],[1,2,3],[1,3,7],[1,4,84],[1,5,59],[2,3,97],[2,4,89],[2,5,85],[3,4,13],[3,5,81],[4,5,44]]}",
"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\":[[0,1,21],[0,2,6],[0,3,96],[0,4,82],[0,5,41],[1,2,3],[1,3,7],[1,4,84],[1,5,59],[2,3,97],[2,4,89],[2,5,85],[3,4,13],[3,5,81],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (3,4)\",\"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\":[[0,1,21],[0,2,6],[0,3,96],[0,4,82],[0,5,41],[1,2,3],[1,3,7],[1,4,84],[1,5,59],[2,3,97],[2,4,89],[2,5,85],[3,4,13],[3,5,81],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,2)=6, w=9\",\"Add (1,3)=7, w=16\",\"Add (3,4)=13, w=29\",\"Add (0,5)=41, 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\":[[0,1,21],[0,2,6],[0,3,96],[0,4,82],[0,5,41],[1,2,3],[1,3,7],[1,4,84],[1,5,59],[2,3,97],[2,4,89],[2,5,85],[3,4,13],[3,5,81],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,2)=6 Succeeded, w=9\",\"Add (1,3)=7 Succeeded, w=16\",\"Add (3,4)=13 Succeeded, w=29\",\"Add (0,1)=21 Failed, w=29\",\"Add (0,5)=41 Succeeded, w=70\",\"Add (4,5)=44 Failed, w=70\",\"Add (1,5)=59 Failed, w=70\",\"Add (3,5)=81 Failed, w=70\",\"Add (0,4)=82 Failed, w=70\",\"Add (1,4)=84 Failed, w=70\",\"Add (2,5)=85 Failed, w=70\",\"Add (2,4)=89 Failed, w=70\",\"Add (0,3)=96 Failed, w=70\",\"Add (2,3)=97 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\":[[0,1,21],[0,2,6],[0,3,96],[0,4,82],[0,5,41],[1,2,3],[1,3,7],[1,4,84],[1,5,59],[2,3,97],[2,4,89],[2,5,85],[3,4,13],[3,5,81],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,2)=6,(1,3)=7,(3,4)=13,(0,1)=21,(0,5)=41,(4,5)=44,(1,5)=59,(3,5)=81,(0,4)=82,(1,4)=84,(2,5)=85,(2,4)=89,(0,3)=96,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=1, Add (0,2)=6 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=16\",\"Find(3)=1, Find(4)=4, Add (3,4)=13 Succeeded, w=29\",\"Find(0)=1, Find(1)=1, Add (0,1)=21 Failed, w=29\",\"Find(0)=1, Find(5)=5, Add (0,5)=41 Succeeded, w=70\",\"Find(4)=1, Find(5)=1, Add (4,5)=44 Failed, w=70\",\"Find(1)=1, Find(5)=1, Add (1,5)=59 Failed, w=70\",\"Find(3)=1, Find(5)=1, Add (3,5)=81 Failed, w=70\",\"Find(0)=1, Find(4)=1, Add (0,4)=82 Failed, w=70\",\"Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=70\",\"Find(2)=1, Find(5)=1, Add (2,5)=85 Failed, w=70\",\"Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=70\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=70\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 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\":[[0,1,21],[0,2,6],[0,3,96],[0,4,82],[0,5,41],[1,2,3],[1,3,7],[1,4,84],[1,5,59],[2,3,97],[2,4,89],[2,5,85],[3,4,13],[3,5,81],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,2)=6,(1,3)=7,(3,4)=13,(0,1)=21,(0,5)=41,(4,5)=44,(1,5)=59,(3,5)=81,(0,4)=82,(1,4)=84,(2,5)=85,(2,4)=89,(0,3)=96,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=6 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=13 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(1)=1, Add (0,1)=21 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=41 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=44 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=59 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)=81 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=82 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=85 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)=89 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=96 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)=97 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,17],[0,2,47],[0,3,77],[0,4,48],[1,2,96],[1,3,67],[1,4,45],[2,3,69],[2,4,80],[3,4,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,47],[0,3,77],[0,4,48],[1,2,96],[1,3,67],[1,4,45],[2,3,69],[2,4,80],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,47],[0,3,77],[0,4,48],[1,2,96],[1,3,67],[1,4,45],[2,3,69],[2,4,80],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,47],[0,3,77],[0,4,48],[1,2,96],[1,3,67],[1,4,45],[2,3,69],[2,4,80],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17, w=17\",\"Add (3,4)=25, w=42\",\"Add (1,4)=45, w=87\",\"Add (0,2)=47, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,47],[0,3,77],[0,4,48],[1,2,96],[1,3,67],[1,4,45],[2,3,69],[2,4,80],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17 Succeeded, w=17\",\"Add (3,4)=25 Succeeded, w=42\",\"Add (1,4)=45 Succeeded, w=87\",\"Add (0,2)=47 Succeeded, w=134\",\"Add (0,4)=48 Failed, w=134\",\"Add (1,3)=67 Failed, w=134\",\"Add (2,3)=69 Failed, w=134\",\"Add (0,3)=77 Failed, w=134\",\"Add (2,4)=80 Failed, w=134\",\"Add (1,2)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,47],[0,3,77],[0,4,48],[1,2,96],[1,3,67],[1,4,45],[2,3,69],[2,4,80],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(3,4)=25,(1,4)=45,(0,2)=47,(0,4)=48,(1,3)=67,(2,3)=69,(0,3)=77,(2,4)=80,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=42\",\"Find(1)=0, Find(4)=3, Add (1,4)=45 Succeeded, w=87\",\"Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=134\",\"Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=134\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=134\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=134\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=134\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,47],[0,3,77],[0,4,48],[1,2,96],[1,3,67],[1,4,45],[2,3,69],[2,4,80],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(3,4)=25,(1,4)=45,(0,2)=47,(0,4)=48,(1,3)=67,(2,3)=69,(0,3)=77,(2,4)=80,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(1)=0, Find(4)=3, Add (1,4)=45 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,98],[0,3,23],[0,4,88],[0,5,69],[0,6,61],[1,3,71],[1,5,65],[1,6,81],[2,3,88],[2,6,10],[3,4,51],[3,5,72],[3,6,12],[4,5,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,23],[0,4,88],[0,5,69],[0,6,61],[1,3,71],[1,5,65],[1,6,81],[2,3,88],[2,6,10],[3,4,51],[3,5,72],[3,6,12],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,23],[0,4,88],[0,5,69],[0,6,61],[1,3,71],[1,5,65],[1,6,81],[2,3,88],[2,6,10],[3,4,51],[3,5,72],[3,6,12],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,23],[0,4,88],[0,5,69],[0,6,61],[1,3,71],[1,5,65],[1,6,81],[2,3,88],[2,6,10],[3,4,51],[3,5,72],[3,6,12],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (2,6)=10, w=12\",\"Add (3,6)=12, w=24\",\"Add (0,3)=23, w=47\",\"Add (3,4)=51, w=98\",\"Add (1,5)=65, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,23],[0,4,88],[0,5,69],[0,6,61],[1,3,71],[1,5,65],[1,6,81],[2,3,88],[2,6,10],[3,4,51],[3,5,72],[3,6,12],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (2,6)=10 Succeeded, w=12\",\"Add (3,6)=12 Succeeded, w=24\",\"Add (0,3)=23 Succeeded, w=47\",\"Add (3,4)=51 Succeeded, w=98\",\"Add (0,6)=61 Failed, w=98\",\"Add (1,5)=65 Succeeded, w=163\",\"Add (0,5)=69 Failed, w=163\",\"Add (1,3)=71 Failed, w=163\",\"Add (3,5)=72 Failed, w=163\",\"Add (1,6)=81 Failed, w=163\",\"Add (0,4)=88 Failed, w=163\",\"Add (2,3)=88 Failed, w=163\",\"Add (0,2)=98 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,23],[0,4,88],[0,5,69],[0,6,61],[1,3,71],[1,5,65],[1,6,81],[2,3,88],[2,6,10],[3,4,51],[3,5,72],[3,6,12],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(2,6)=10,(3,6)=12,(0,3)=23,(3,4)=51,(0,6)=61,(1,5)=65,(0,5)=69,(1,3)=71,(3,5)=72,(1,6)=81,(0,4)=88,(2,3)=88,(0,2)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=12\",\"Find(3)=3, Find(6)=2, Add (3,6)=12 Succeeded, w=24\",\"Find(0)=0, Find(3)=2, Add (0,3)=23 Succeeded, w=47\",\"Find(3)=2, Find(4)=4, Add (3,4)=51 Succeeded, w=98\",\"Find(0)=2, Find(6)=2, Add (0,6)=61 Failed, w=98\",\"Find(1)=1, Find(5)=2, Add (1,5)=65 Succeeded, w=163\",\"Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=163\",\"Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=163\",\"Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=163\",\"Find(1)=2, Find(6)=2, Add (1,6)=81 Failed, w=163\",\"Find(0)=2, Find(4)=2, Add (0,4)=88 Failed, w=163\",\"Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=163\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,23],[0,4,88],[0,5,69],[0,6,61],[1,3,71],[1,5,65],[1,6,81],[2,3,88],[2,6,10],[3,4,51],[3,5,72],[3,6,12],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(2,6)=10,(3,6)=12,(0,3)=23,(3,4)=51,(0,6)=61,(1,5)=65,(0,5)=69,(1,3)=71,(3,5)=72,(1,6)=81,(0,4)=88,(2,3)=88,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=12 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=23 Succeeded, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(3)=2, Find(4)=4, Add (3,4)=51 Succeeded, w=98\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=61 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=65 Succeeded, w=163\",\"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=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=81 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=88 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,69],[0,2,91],[0,3,0],[0,4,10],[0,5,26],[0,6,60],[1,3,19],[1,4,89],[1,5,79],[2,3,82],[2,5,60],[2,6,69],[3,4,26],[3,5,7],[3,6,47],[4,5,87],[4,6,77],[5,6,37]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,91],[0,3,0],[0,4,10],[0,5,26],[0,6,60],[1,3,19],[1,4,89],[1,5,79],[2,3,82],[2,5,60],[2,6,69],[3,4,26],[3,5,7],[3,6,47],[4,5,87],[4,6,77],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,91],[0,3,0],[0,4,10],[0,5,26],[0,6,60],[1,3,19],[1,4,89],[1,5,79],[2,3,82],[2,5,60],[2,6,69],[3,4,26],[3,5,7],[3,6,47],[4,5,87],[4,6,77],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (5,6)\",\"Add (2,5)\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,91],[0,3,0],[0,4,10],[0,5,26],[0,6,60],[1,3,19],[1,4,89],[1,5,79],[2,3,82],[2,5,60],[2,6,69],[3,4,26],[3,5,7],[3,6,47],[4,5,87],[4,6,77],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (3,5)=7, w=7\",\"Add (0,4)=10, w=17\",\"Add (1,3)=19, w=36\",\"Add (5,6)=37, w=73\",\"Add (2,5)=60, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,91],[0,3,0],[0,4,10],[0,5,26],[0,6,60],[1,3,19],[1,4,89],[1,5,79],[2,3,82],[2,5,60],[2,6,69],[3,4,26],[3,5,7],[3,6,47],[4,5,87],[4,6,77],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (3,5)=7 Succeeded, w=7\",\"Add (0,4)=10 Succeeded, w=17\",\"Add (1,3)=19 Succeeded, w=36\",\"Add (0,5)=26 Failed, w=36\",\"Add (3,4)=26 Failed, w=36\",\"Add (5,6)=37 Succeeded, w=73\",\"Add (3,6)=47 Failed, w=73\",\"Add (0,6)=60 Failed, w=73\",\"Add (2,5)=60 Succeeded, w=133\",\"Add (0,1)=69 Failed, w=133\",\"Add (2,6)=69 Failed, w=133\",\"Add (4,6)=77 Failed, w=133\",\"Add (1,5)=79 Failed, w=133\",\"Add (2,3)=82 Failed, w=133\",\"Add (4,5)=87 Failed, w=133\",\"Add (1,4)=89 Failed, w=133\",\"Add (0,2)=91 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,91],[0,3,0],[0,4,10],[0,5,26],[0,6,60],[1,3,19],[1,4,89],[1,5,79],[2,3,82],[2,5,60],[2,6,69],[3,4,26],[3,5,7],[3,6,47],[4,5,87],[4,6,77],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,5)=7,(0,4)=10,(1,3)=19,(0,5)=26,(3,4)=26,(5,6)=37,(3,6)=47,(0,6)=60,(2,5)=60,(0,1)=69,(2,6)=69,(4,6)=77,(1,5)=79,(2,3)=82,(4,5)=87,(1,4)=89,(0,2)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(3)=0, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=17\",\"Find(1)=1, Find(3)=0, Add (1,3)=19 Succeeded, w=36\",\"Find(0)=0, Find(5)=0, Add (0,5)=26 Failed, w=36\",\"Find(3)=0, Find(4)=0, Add (3,4)=26 Failed, w=36\",\"Find(5)=0, Find(6)=6, Add (5,6)=37 Succeeded, w=73\",\"Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=73\",\"Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=73\",\"Find(2)=2, Find(5)=0, Add (2,5)=60 Succeeded, w=133\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=133\",\"Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=133\",\"Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=133\",\"Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=133\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=133\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=133\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=133\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,91],[0,3,0],[0,4,10],[0,5,26],[0,6,60],[1,3,19],[1,4,89],[1,5,79],[2,3,82],[2,5,60],[2,6,69],[3,4,26],[3,5,7],[3,6,47],[4,5,87],[4,6,77],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,5)=7,(0,4)=10,(1,3)=19,(0,5)=26,(3,4)=26,(5,6)=37,(3,6)=47,(0,6)=60,(2,5)=60,(0,1)=69,(2,6)=69,(4,6)=77,(1,5)=79,(2,3)=82,(4,5)=87,(1,4)=89,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=0, Find(5)=5, Add (3,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=19 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=26 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(4)=0, Add (3,4)=26 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=37 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=60 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,39],[0,2,68],[0,3,56],[0,4,62],[0,5,81],[0,6,12],[0,7,87],[1,2,87],[1,3,11],[1,4,15],[1,5,10],[1,6,88],[1,7,85],[2,3,37],[2,4,7],[2,5,100],[2,6,56],[2,7,52],[3,4,78],[3,5,19],[3,6,61],[3,7,91],[4,5,81],[4,6,6],[4,7,41],[5,6,65],[5,7,37],[6,7,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,68],[0,3,56],[0,4,62],[0,5,81],[0,6,12],[0,7,87],[1,2,87],[1,3,11],[1,4,15],[1,5,10],[1,6,88],[1,7,85],[2,3,37],[2,4,7],[2,5,100],[2,6,56],[2,7,52],[3,4,78],[3,5,19],[3,6,61],[3,7,91],[4,5,81],[4,6,6],[4,7,41],[5,6,65],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,68],[0,3,56],[0,4,62],[0,5,81],[0,6,12],[0,7,87],[1,2,87],[1,3,11],[1,4,15],[1,5,10],[1,6,88],[1,7,85],[2,3,37],[2,4,7],[2,5,100],[2,6,56],[2,7,52],[3,4,78],[3,5,19],[3,6,61],[3,7,91],[4,5,81],[4,6,6],[4,7,41],[5,6,65],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (1,4)\",\"Add (5,7)\"],\"Answer\":98}",
"role": "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],[0,2,68],[0,3,56],[0,4,62],[0,5,81],[0,6,12],[0,7,87],[1,2,87],[1,3,11],[1,4,15],[1,5,10],[1,6,88],[1,7,85],[2,3,37],[2,4,7],[2,5,100],[2,6,56],[2,7,52],[3,4,78],[3,5,19],[3,6,61],[3,7,91],[4,5,81],[4,6,6],[4,7,41],[5,6,65],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=6, w=6\",\"Add (2,4)=7, w=13\",\"Add (1,5)=10, w=23\",\"Add (1,3)=11, w=34\",\"Add (0,6)=12, w=46\",\"Add (1,4)=15, w=61\",\"Add (5,7)=37, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,68],[0,3,56],[0,4,62],[0,5,81],[0,6,12],[0,7,87],[1,2,87],[1,3,11],[1,4,15],[1,5,10],[1,6,88],[1,7,85],[2,3,37],[2,4,7],[2,5,100],[2,6,56],[2,7,52],[3,4,78],[3,5,19],[3,6,61],[3,7,91],[4,5,81],[4,6,6],[4,7,41],[5,6,65],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=6 Succeeded, w=6\",\"Add (2,4)=7 Succeeded, w=13\",\"Add (1,5)=10 Succeeded, w=23\",\"Add (1,3)=11 Succeeded, w=34\",\"Add (0,6)=12 Succeeded, w=46\",\"Add (1,4)=15 Succeeded, w=61\",\"Add (3,5)=19 Failed, w=61\",\"Add (2,3)=37 Failed, w=61\",\"Add (5,7)=37 Succeeded, w=98\",\"Add (0,1)=39 Failed, w=98\",\"Add (4,7)=41 Failed, w=98\",\"Add (2,7)=52 Failed, w=98\",\"Add (0,3)=56 Failed, w=98\",\"Add (2,6)=56 Failed, w=98\",\"Add (3,6)=61 Failed, w=98\",\"Add (0,4)=62 Failed, w=98\",\"Add (6,7)=62 Failed, w=98\",\"Add (5,6)=65 Failed, w=98\",\"Add (0,2)=68 Failed, w=98\",\"Add (3,4)=78 Failed, w=98\",\"Add (0,5)=81 Failed, w=98\",\"Add (4,5)=81 Failed, w=98\",\"Add (1,7)=85 Failed, w=98\",\"Add (0,7)=87 Failed, w=98\",\"Add (1,2)=87 Failed, w=98\",\"Add (1,6)=88 Failed, w=98\",\"Add (3,7)=91 Failed, w=98\",\"Add (2,5)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,68],[0,3,56],[0,4,62],[0,5,81],[0,6,12],[0,7,87],[1,2,87],[1,3,11],[1,4,15],[1,5,10],[1,6,88],[1,7,85],[2,3,37],[2,4,7],[2,5,100],[2,6,56],[2,7,52],[3,4,78],[3,5,19],[3,6,61],[3,7,91],[4,5,81],[4,6,6],[4,7,41],[5,6,65],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=6,(2,4)=7,(1,5)=10,(1,3)=11,(0,6)=12,(1,4)=15,(3,5)=19,(2,3)=37,(5,7)=37,(0,1)=39,(4,7)=41,(2,7)=52,(0,3)=56,(2,6)=56,(3,6)=61,(0,4)=62,(6,7)=62,(5,6)=65,(0,2)=68,(3,4)=78,(0,5)=81,(4,5)=81,(1,7)=85,(0,7)=87,(1,2)=87,(1,6)=88,(3,7)=91,(2,5)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=13\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=34\",\"Find(0)=0, Find(6)=4, Add (0,6)=12 Succeeded, w=46\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=61\",\"Find(3)=1, Find(5)=1, Add (3,5)=19 Failed, w=61\",\"Find(2)=1, Find(3)=1, Add (2,3)=37 Failed, w=61\",\"Find(5)=1, Find(7)=7, Add (5,7)=37 Succeeded, w=98\",\"Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=98\",\"Find(4)=1, Find(7)=1, Add (4,7)=41 Failed, w=98\",\"Find(2)=1, Find(7)=1, Add (2,7)=52 Failed, w=98\",\"Find(0)=1, Find(3)=1, Add (0,3)=56 Failed, w=98\",\"Find(2)=1, Find(6)=1, Add (2,6)=56 Failed, w=98\",\"Find(3)=1, Find(6)=1, Add (3,6)=61 Failed, w=98\",\"Find(0)=1, Find(4)=1, Add (0,4)=62 Failed, w=98\",\"Find(6)=1, Find(7)=1, Add (6,7)=62 Failed, w=98\",\"Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=98\",\"Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=98\",\"Find(3)=1, Find(4)=1, Add (3,4)=78 Failed, w=98\",\"Find(0)=1, Find(5)=1, Add (0,5)=81 Failed, w=98\",\"Find(4)=1, Find(5)=1, Add (4,5)=81 Failed, w=98\",\"Find(1)=1, Find(7)=1, Add (1,7)=85 Failed, w=98\",\"Find(0)=1, Find(7)=1, Add (0,7)=87 Failed, w=98\",\"Find(1)=1, Find(2)=1, Add (1,2)=87 Failed, w=98\",\"Find(1)=1, Find(6)=1, Add (1,6)=88 Failed, w=98\",\"Find(3)=1, Find(7)=1, Add (3,7)=91 Failed, w=98\",\"Find(2)=1, Find(5)=1, Add (2,5)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,68],[0,3,56],[0,4,62],[0,5,81],[0,6,12],[0,7,87],[1,2,87],[1,3,11],[1,4,15],[1,5,10],[1,6,88],[1,7,85],[2,3,37],[2,4,7],[2,5,100],[2,6,56],[2,7,52],[3,4,78],[3,5,19],[3,6,61],[3,7,91],[4,5,81],[4,6,6],[4,7,41],[5,6,65],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=6,(2,4)=7,(1,5)=10,(1,3)=11,(0,6)=12,(1,4)=15,(3,5)=19,(2,3)=37,(5,7)=37,(0,1)=39,(4,7)=41,(2,7)=52,(0,3)=56,(2,6)=56,(3,6)=61,(0,4)=62,(6,7)=62,(5,6)=65,(0,2)=68,(3,4)=78,(0,5)=81,(4,5)=81,(1,7)=85,(0,7)=87,(1,2)=87,(1,6)=88,(3,7)=91,(2,5)=100]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 1, 6: 4, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 1, 6: 4, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=34\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 1, 6: 4, 7: 7}, Find(0)=0, Find(6)=4, Add (0,6)=12 Succeeded, w=46\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 1, 6: 4, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=61\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 1, 6: 4, 7: 7}, Find(3)=1, Find(5)=1, Add (3,5)=19 Failed, w=61\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 7}, Find(2)=1, Find(3)=1, Add (2,3)=37 Failed, w=61\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=37 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=41 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=52 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=56 Failed, w=98\",\"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)=56 Failed, w=98\",\"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)=61 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=62 Failed, w=98\",\"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)=62 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=98\",\"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)=68 Failed, w=98\",\"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)=78 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=81 Failed, w=98\",\"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)=81 Failed, w=98\",\"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)=85 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=87 Failed, w=98\",\"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)=87 Failed, w=98\",\"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)=88 Failed, w=98\",\"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)=91 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,40],[0,3,24],[1,2,54],[1,3,98],[2,3,39]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,24],[1,2,54],[1,3,98],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,24],[1,2,54],[1,3,98],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,24],[1,2,54],[1,3,98],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24, w=24\",\"Add (2,3)=39, w=63\",\"Add (0,1)=40, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,24],[1,2,54],[1,3,98],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24 Succeeded, w=24\",\"Add (2,3)=39 Succeeded, w=63\",\"Add (0,1)=40 Succeeded, w=103\",\"Add (1,2)=54 Failed, w=103\",\"Add (1,3)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,24],[1,2,54],[1,3,98],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(2,3)=39,(0,1)=40,(1,2)=54,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Find(2)=2, Find(3)=0, Add (2,3)=39 Succeeded, w=63\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=103\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,24],[1,2,54],[1,3,98],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(2,3)=39,(0,1)=40,(1,2)=54,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=39 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,89],[0,2,95],[0,3,4],[0,5,5],[1,2,24],[1,3,5],[1,4,57],[1,5,75],[2,3,9],[2,4,83],[2,5,24],[3,4,64],[3,5,44],[4,5,71]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,95],[0,3,4],[0,5,5],[1,2,24],[1,3,5],[1,4,57],[1,5,75],[2,3,9],[2,4,83],[2,5,24],[3,4,64],[3,5,44],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,95],[0,3,4],[0,5,5],[1,2,24],[1,3,5],[1,4,57],[1,5,75],[2,3,9],[2,4,83],[2,5,24],[3,4,64],[3,5,44],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,95],[0,3,4],[0,5,5],[1,2,24],[1,3,5],[1,4,57],[1,5,75],[2,3,9],[2,4,83],[2,5,24],[3,4,64],[3,5,44],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (0,5)=5, w=9\",\"Add (1,3)=5, w=14\",\"Add (2,3)=9, w=23\",\"Add (1,4)=57, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,95],[0,3,4],[0,5,5],[1,2,24],[1,3,5],[1,4,57],[1,5,75],[2,3,9],[2,4,83],[2,5,24],[3,4,64],[3,5,44],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (0,5)=5 Succeeded, w=9\",\"Add (1,3)=5 Succeeded, w=14\",\"Add (2,3)=9 Succeeded, w=23\",\"Add (1,2)=24 Failed, w=23\",\"Add (2,5)=24 Failed, w=23\",\"Add (3,5)=44 Failed, w=23\",\"Add (1,4)=57 Succeeded, w=80\",\"Add (3,4)=64 Failed, w=80\",\"Add (4,5)=71 Failed, w=80\",\"Add (1,5)=75 Failed, w=80\",\"Add (2,4)=83 Failed, w=80\",\"Add (0,1)=89 Failed, w=80\",\"Add (0,2)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,95],[0,3,4],[0,5,5],[1,2,24],[1,3,5],[1,4,57],[1,5,75],[2,3,9],[2,4,83],[2,5,24],[3,4,64],[3,5,44],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,5)=5,(1,3)=5,(2,3)=9,(1,2)=24,(2,5)=24,(3,5)=44,(1,4)=57,(3,4)=64,(4,5)=71,(1,5)=75,(2,4)=83,(0,1)=89,(0,2)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=9\",\"Find(1)=1, Find(3)=0, Add (1,3)=5 Succeeded, w=14\",\"Find(2)=2, Find(3)=0, Add (2,3)=9 Succeeded, w=23\",\"Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=23\",\"Find(2)=0, Find(5)=0, Add (2,5)=24 Failed, w=23\",\"Find(3)=0, Find(5)=0, Add (3,5)=44 Failed, w=23\",\"Find(1)=0, Find(4)=4, Add (1,4)=57 Succeeded, w=80\",\"Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=80\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=80\",\"Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=80\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=80\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=80\",\"Find(0)=0, Find(2)=0, Add (0,2)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,95],[0,3,4],[0,5,5],[1,2,24],[1,3,5],[1,4,57],[1,5,75],[2,3,9],[2,4,83],[2,5,24],[3,4,64],[3,5,44],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,5)=5,(1,3)=5,(2,3)=9,(1,2)=24,(2,5)=24,(3,5)=44,(1,4)=57,(3,4)=64,(4,5)=71,(1,5)=75,(2,4)=83,(0,1)=89,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=5 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=9 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=24 Failed, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=44 Failed, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=57 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,97],[1,3,39],[1,4,75],[2,3,49],[3,4,60]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,97],[1,3,39],[1,4,75],[2,3,49],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":245}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,97],[1,3,39],[1,4,75],[2,3,49],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":245}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,97],[1,3,39],[1,4,75],[2,3,49],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=39, w=39\",\"Add (2,3)=49, w=88\",\"Add (3,4)=60, w=148\",\"Add (0,4)=97, w=245\"],\"Answer\":245}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,97],[1,3,39],[1,4,75],[2,3,49],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=39 Succeeded, w=39\",\"Add (2,3)=49 Succeeded, w=88\",\"Add (3,4)=60 Succeeded, w=148\",\"Add (1,4)=75 Failed, w=148\",\"Add (0,4)=97 Succeeded, w=245\"],\"Answer\":245}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,97],[1,3,39],[1,4,75],[2,3,49],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=39,(2,3)=49,(3,4)=60,(1,4)=75,(0,4)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=39\",\"Find(2)=2, Find(3)=1, Add (2,3)=49 Succeeded, w=88\",\"Find(3)=1, Find(4)=4, Add (3,4)=60 Succeeded, w=148\",\"Find(1)=1, Find(4)=1, Add (1,4)=75 Failed, w=148\",\"Find(0)=0, Find(4)=1, Add (0,4)=97 Succeeded, w=245\"],\"Answer\":245}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,97],[1,3,39],[1,4,75],[2,3,49],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=39,(2,3)=49,(3,4)=60,(1,4)=75,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=49 Succeeded, w=88\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=60 Succeeded, w=148\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=75 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=97 Succeeded, w=245\"],\"Answer\":245}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,50],[0,3,43],[0,4,47],[0,5,87],[0,6,2],[1,2,59],[1,3,12],[1,4,84],[1,5,84],[1,6,34],[2,4,1],[2,5,24],[2,6,35],[3,4,32],[3,5,60],[3,6,34],[4,5,1],[4,6,81],[5,6,92]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,43],[0,4,47],[0,5,87],[0,6,2],[1,2,59],[1,3,12],[1,4,84],[1,5,84],[1,6,34],[2,4,1],[2,5,24],[2,6,35],[3,4,32],[3,5,60],[3,6,34],[4,5,1],[4,6,81],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,43],[0,4,47],[0,5,87],[0,6,2],[1,2,59],[1,3,12],[1,4,84],[1,5,84],[1,6,34],[2,4,1],[2,5,24],[2,6,35],[3,4,32],[3,5,60],[3,6,34],[4,5,1],[4,6,81],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (1,6)\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,43],[0,4,47],[0,5,87],[0,6,2],[1,2,59],[1,3,12],[1,4,84],[1,5,84],[1,6,34],[2,4,1],[2,5,24],[2,6,35],[3,4,32],[3,5,60],[3,6,34],[4,5,1],[4,6,81],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (4,5)=1, w=2\",\"Add (0,6)=2, w=4\",\"Add (1,3)=12, w=16\",\"Add (3,4)=32, w=48\",\"Add (1,6)=34, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,43],[0,4,47],[0,5,87],[0,6,2],[1,2,59],[1,3,12],[1,4,84],[1,5,84],[1,6,34],[2,4,1],[2,5,24],[2,6,35],[3,4,32],[3,5,60],[3,6,34],[4,5,1],[4,6,81],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (4,5)=1 Succeeded, w=2\",\"Add (0,6)=2 Succeeded, w=4\",\"Add (1,3)=12 Succeeded, w=16\",\"Add (2,5)=24 Failed, w=16\",\"Add (3,4)=32 Succeeded, w=48\",\"Add (1,6)=34 Succeeded, w=82\",\"Add (3,6)=34 Failed, w=82\",\"Add (2,6)=35 Failed, w=82\",\"Add (0,3)=43 Failed, w=82\",\"Add (0,4)=47 Failed, w=82\",\"Add (0,1)=50 Failed, w=82\",\"Add (1,2)=59 Failed, w=82\",\"Add (3,5)=60 Failed, w=82\",\"Add (4,6)=81 Failed, w=82\",\"Add (1,4)=84 Failed, w=82\",\"Add (1,5)=84 Failed, w=82\",\"Add (0,5)=87 Failed, w=82\",\"Add (5,6)=92 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,43],[0,4,47],[0,5,87],[0,6,2],[1,2,59],[1,3,12],[1,4,84],[1,5,84],[1,6,34],[2,4,1],[2,5,24],[2,6,35],[3,4,32],[3,5,60],[3,6,34],[4,5,1],[4,6,81],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=1,(0,6)=2,(1,3)=12,(2,5)=24,(3,4)=32,(1,6)=34,(3,6)=34,(2,6)=35,(0,3)=43,(0,4)=47,(0,1)=50,(1,2)=59,(3,5)=60,(4,6)=81,(1,4)=84,(1,5)=84,(0,5)=87,(5,6)=92]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(4)=2, Find(5)=5, Add (4,5)=1 Succeeded, w=2\",\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=16\",\"Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=16\",\"Find(3)=1, Find(4)=2, Add (3,4)=32 Succeeded, w=48\",\"Find(1)=1, Find(6)=0, Add (1,6)=34 Succeeded, w=82\",\"Find(3)=1, Find(6)=1, Add (3,6)=34 Failed, w=82\",\"Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=82\",\"Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=82\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=82\",\"Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=82\",\"Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=82\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=82\",\"Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=82\",\"Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=82\",\"Find(1)=1, Find(5)=1, Add (1,5)=84 Failed, w=82\",\"Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=82\",\"Find(5)=1, Find(6)=1, Add (5,6)=92 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,43],[0,4,47],[0,5,87],[0,6,2],[1,2,59],[1,3,12],[1,4,84],[1,5,84],[1,6,34],[2,4,1],[2,5,24],[2,6,35],[3,4,32],[3,5,60],[3,6,34],[4,5,1],[4,6,81],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=1,(0,6)=2,(1,3)=12,(2,5)=24,(3,4)=32,(1,6)=34,(3,6)=34,(2,6)=35,(0,3)=43,(0,4)=47,(0,1)=50,(1,2)=59,(3,5)=60,(4,6)=81,(1,4)=84,(1,5)=84,(0,5)=87,(5,6)=92]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(4)=2, Find(5)=5, Add (4,5)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 0}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 0}, Find(3)=1, Find(4)=2, Add (3,4)=32 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=34 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=34 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=84 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=82\",\"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=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,64],[1,2,87],[2,3,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,64],[1,2,87],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,64],[1,2,87],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,64],[1,2,87],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=64, w=64\",\"Add (2,3)=79, w=143\",\"Add (1,2)=87, w=230\"],\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,64],[1,2,87],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=64 Succeeded, w=64\",\"Add (2,3)=79 Succeeded, w=143\",\"Add (1,2)=87 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,64],[1,2,87],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=64,(2,3)=79,(1,2)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=64 Succeeded, w=64\",\"Find(2)=2, Find(3)=0, Add (2,3)=79 Succeeded, w=143\",\"Find(1)=1, Find(2)=0, Add (1,2)=87 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,64],[1,2,87],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=64,(2,3)=79,(1,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=64 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=79 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=87 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,69],[0,3,16],[0,4,57],[1,2,61],[1,3,32],[1,4,56],[2,3,80],[2,4,64],[3,4,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,69],[0,3,16],[0,4,57],[1,2,61],[1,3,32],[1,4,56],[2,3,80],[2,4,64],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,69],[0,3,16],[0,4,57],[1,2,61],[1,3,32],[1,4,56],[2,3,80],[2,4,64],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (1,2)\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,69],[0,3,16],[0,4,57],[1,2,61],[1,3,32],[1,4,56],[2,3,80],[2,4,64],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (1,3)=32, w=48\",\"Add (1,4)=56, w=104\",\"Add (1,2)=61, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,69],[0,3,16],[0,4,57],[1,2,61],[1,3,32],[1,4,56],[2,3,80],[2,4,64],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (1,3)=32 Succeeded, w=48\",\"Add (1,4)=56 Succeeded, w=104\",\"Add (0,4)=57 Failed, w=104\",\"Add (1,2)=61 Succeeded, w=165\",\"Add (2,4)=64 Failed, w=165\",\"Add (0,2)=69 Failed, w=165\",\"Add (0,1)=78 Failed, w=165\",\"Add (2,3)=80 Failed, w=165\",\"Add (3,4)=85 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,69],[0,3,16],[0,4,57],[1,2,61],[1,3,32],[1,4,56],[2,3,80],[2,4,64],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(1,3)=32,(1,4)=56,(0,4)=57,(1,2)=61,(2,4)=64,(0,2)=69,(0,1)=78,(2,3)=80,(3,4)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(3)=0, Add (1,3)=32 Succeeded, w=48\",\"Find(1)=0, Find(4)=4, Add (1,4)=56 Succeeded, w=104\",\"Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=104\",\"Find(1)=0, Find(2)=2, Add (1,2)=61 Succeeded, w=165\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=165\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=165\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=165\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=165\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,69],[0,3,16],[0,4,57],[1,2,61],[1,3,32],[1,4,56],[2,3,80],[2,4,64],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(1,3)=32,(1,4)=56,(0,4)=57,(1,2)=61,(2,4)=64,(0,2)=69,(0,1)=78,(2,3)=80,(3,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=32 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=56 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=61 Succeeded, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,5,35],[1,2,29],[1,3,19],[1,4,4],[3,4,25],[3,5,100],[4,5,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,5,35],[1,2,29],[1,3,19],[1,4,4],[3,4,25],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,5,35],[1,2,29],[1,3,19],[1,4,4],[3,4,25],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,5,35],[1,2,29],[1,3,19],[1,4,4],[3,4,25],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (1,4)=4, w=7\",\"Add (0,1)=16, w=23\",\"Add (1,3)=19, w=42\",\"Add (1,2)=29, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,5,35],[1,2,29],[1,3,19],[1,4,4],[3,4,25],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (1,4)=4 Succeeded, w=7\",\"Add (0,1)=16 Succeeded, w=23\",\"Add (1,3)=19 Succeeded, w=42\",\"Add (3,4)=25 Failed, w=42\",\"Add (1,2)=29 Succeeded, w=71\",\"Add (0,5)=35 Failed, w=71\",\"Add (3,5)=100 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,5,35],[1,2,29],[1,3,19],[1,4,4],[3,4,25],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(1,4)=4,(0,1)=16,(1,3)=19,(3,4)=25,(1,2)=29,(0,5)=35,(3,5)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=7\",\"Find(0)=0, Find(1)=4, Add (0,1)=16 Succeeded, w=23\",\"Find(1)=4, Find(3)=3, Add (1,3)=19 Succeeded, w=42\",\"Find(3)=4, Find(4)=4, Add (3,4)=25 Failed, w=42\",\"Find(1)=4, Find(2)=2, Add (1,2)=29 Succeeded, w=71\",\"Find(0)=4, Find(5)=4, Add (0,5)=35 Failed, w=71\",\"Find(3)=4, Find(5)=4, Add (3,5)=100 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,5,35],[1,2,29],[1,3,19],[1,4,4],[3,4,25],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(1,4)=4,(0,1)=16,(1,3)=19,(3,4)=25,(1,2)=29,(0,5)=35,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=7\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(1)=4, Add (0,1)=16 Succeeded, w=23\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=3, Add (1,3)=19 Succeeded, w=42\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=25 Failed, w=42\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=2, Add (1,2)=29 Succeeded, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(5)=4, Add (0,5)=35 Failed, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=100 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,39],[0,2,98],[0,3,79],[0,4,30],[0,5,8],[0,6,91],[1,2,9],[1,3,77],[1,4,43],[1,6,77],[2,4,38],[2,5,17],[2,6,88],[3,4,29],[3,5,11],[4,6,26],[5,6,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,98],[0,3,79],[0,4,30],[0,5,8],[0,6,91],[1,2,9],[1,3,77],[1,4,43],[1,6,77],[2,4,38],[2,5,17],[2,6,88],[3,4,29],[3,5,11],[4,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,98],[0,3,79],[0,4,30],[0,5,8],[0,6,91],[1,2,9],[1,3,77],[1,4,43],[1,6,77],[2,4,38],[2,5,17],[2,6,88],[3,4,29],[3,5,11],[4,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (3,4)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,98],[0,3,79],[0,4,30],[0,5,8],[0,6,91],[1,2,9],[1,3,77],[1,4,43],[1,6,77],[2,4,38],[2,5,17],[2,6,88],[3,4,29],[3,5,11],[4,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8, w=8\",\"Add (1,2)=9, w=17\",\"Add (3,5)=11, w=28\",\"Add (2,5)=17, w=45\",\"Add (4,6)=26, w=71\",\"Add (3,4)=29, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,98],[0,3,79],[0,4,30],[0,5,8],[0,6,91],[1,2,9],[1,3,77],[1,4,43],[1,6,77],[2,4,38],[2,5,17],[2,6,88],[3,4,29],[3,5,11],[4,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8 Succeeded, w=8\",\"Add (1,2)=9 Succeeded, w=17\",\"Add (3,5)=11 Succeeded, w=28\",\"Add (2,5)=17 Succeeded, w=45\",\"Add (4,6)=26 Succeeded, w=71\",\"Add (3,4)=29 Succeeded, w=100\",\"Add (0,4)=30 Failed, w=100\",\"Add (2,4)=38 Failed, w=100\",\"Add (0,1)=39 Failed, w=100\",\"Add (1,4)=43 Failed, w=100\",\"Add (5,6)=52 Failed, w=100\",\"Add (1,3)=77 Failed, w=100\",\"Add (1,6)=77 Failed, w=100\",\"Add (0,3)=79 Failed, w=100\",\"Add (2,6)=88 Failed, w=100\",\"Add (0,6)=91 Failed, w=100\",\"Add (0,2)=98 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,98],[0,3,79],[0,4,30],[0,5,8],[0,6,91],[1,2,9],[1,3,77],[1,4,43],[1,6,77],[2,4,38],[2,5,17],[2,6,88],[3,4,29],[3,5,11],[4,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(1,2)=9,(3,5)=11,(2,5)=17,(4,6)=26,(3,4)=29,(0,4)=30,(2,4)=38,(0,1)=39,(1,4)=43,(5,6)=52,(1,3)=77,(1,6)=77,(0,3)=79,(2,6)=88,(0,6)=91,(0,2)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=17\",\"Find(3)=3, Find(5)=0, Add (3,5)=11 Succeeded, w=28\",\"Find(2)=1, Find(5)=0, Add (2,5)=17 Succeeded, w=45\",\"Find(4)=4, Find(6)=6, Add (4,6)=26 Succeeded, w=71\",\"Find(3)=1, Find(4)=4, Add (3,4)=29 Succeeded, w=100\",\"Find(0)=1, Find(4)=1, Add (0,4)=30 Failed, w=100\",\"Find(2)=1, Find(4)=1, Add (2,4)=38 Failed, w=100\",\"Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=100\",\"Find(1)=1, Find(4)=1, Add (1,4)=43 Failed, w=100\",\"Find(5)=1, Find(6)=1, Add (5,6)=52 Failed, w=100\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=100\",\"Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=100\",\"Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=100\",\"Find(2)=1, Find(6)=1, Add (2,6)=88 Failed, w=100\",\"Find(0)=1, Find(6)=1, Add (0,6)=91 Failed, w=100\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,98],[0,3,79],[0,4,30],[0,5,8],[0,6,91],[1,2,9],[1,3,77],[1,4,43],[1,6,77],[2,4,38],[2,5,17],[2,6,88],[3,4,29],[3,5,11],[4,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(1,2)=9,(3,5)=11,(2,5)=17,(4,6)=26,(3,4)=29,(0,4)=30,(2,4)=38,(0,1)=39,(1,4)=43,(5,6)=52,(1,3)=77,(1,6)=77,(0,3)=79,(2,6)=88,(0,6)=91,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=11 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=1, Find(5)=0, Add (2,5)=17 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=26 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 4}, Find(3)=1, Find(4)=4, Add (3,4)=29 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 4}, Find(0)=1, Find(4)=1, Add (0,4)=30 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 4}, Find(2)=1, Find(4)=1, Add (2,4)=38 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 4}, Find(0)=1, Find(1)=1, Add (0,1)=39 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 4}, Find(1)=1, Find(4)=1, Add (1,4)=43 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=52 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=88 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=91 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,2,89],[0,3,57],[0,4,14],[0,5,7],[0,6,62],[1,2,43],[1,3,2],[1,4,72],[1,5,94],[1,6,4],[2,3,72],[2,4,72],[2,5,90],[2,6,57],[3,4,54],[3,5,17],[3,6,47],[4,5,72],[4,6,34],[5,6,87]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,89],[0,3,57],[0,4,14],[0,5,7],[0,6,62],[1,2,43],[1,3,2],[1,4,72],[1,5,94],[1,6,4],[2,3,72],[2,4,72],[2,5,90],[2,6,57],[3,4,54],[3,5,17],[3,6,47],[4,5,72],[4,6,34],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,89],[0,3,57],[0,4,14],[0,5,7],[0,6,62],[1,2,43],[1,3,2],[1,4,72],[1,5,94],[1,6,4],[2,3,72],[2,4,72],[2,5,90],[2,6,57],[3,4,54],[3,5,17],[3,6,47],[4,5,72],[4,6,34],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,2)\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,89],[0,3,57],[0,4,14],[0,5,7],[0,6,62],[1,2,43],[1,3,2],[1,4,72],[1,5,94],[1,6,4],[2,3,72],[2,4,72],[2,5,90],[2,6,57],[3,4,54],[3,5,17],[3,6,47],[4,5,72],[4,6,34],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (1,6)=4, w=6\",\"Add (0,5)=7, w=13\",\"Add (0,4)=14, w=27\",\"Add (3,5)=17, w=44\",\"Add (1,2)=43, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,89],[0,3,57],[0,4,14],[0,5,7],[0,6,62],[1,2,43],[1,3,2],[1,4,72],[1,5,94],[1,6,4],[2,3,72],[2,4,72],[2,5,90],[2,6,57],[3,4,54],[3,5,17],[3,6,47],[4,5,72],[4,6,34],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (1,6)=4 Succeeded, w=6\",\"Add (0,5)=7 Succeeded, w=13\",\"Add (0,4)=14 Succeeded, w=27\",\"Add (3,5)=17 Succeeded, w=44\",\"Add (4,6)=34 Failed, w=44\",\"Add (0,1)=43 Failed, w=44\",\"Add (1,2)=43 Succeeded, w=87\",\"Add (3,6)=47 Failed, w=87\",\"Add (3,4)=54 Failed, w=87\",\"Add (0,3)=57 Failed, w=87\",\"Add (2,6)=57 Failed, w=87\",\"Add (0,6)=62 Failed, w=87\",\"Add (1,4)=72 Failed, w=87\",\"Add (2,3)=72 Failed, w=87\",\"Add (2,4)=72 Failed, w=87\",\"Add (4,5)=72 Failed, w=87\",\"Add (5,6)=87 Failed, w=87\",\"Add (0,2)=89 Failed, w=87\",\"Add (2,5)=90 Failed, w=87\",\"Add (1,5)=94 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,89],[0,3,57],[0,4,14],[0,5,7],[0,6,62],[1,2,43],[1,3,2],[1,4,72],[1,5,94],[1,6,4],[2,3,72],[2,4,72],[2,5,90],[2,6,57],[3,4,54],[3,5,17],[3,6,47],[4,5,72],[4,6,34],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,6)=4,(0,5)=7,(0,4)=14,(3,5)=17,(4,6)=34,(0,1)=43,(1,2)=43,(3,6)=47,(3,4)=54,(0,3)=57,(2,6)=57,(0,6)=62,(1,4)=72,(2,3)=72,(2,4)=72,(4,5)=72,(5,6)=87,(0,2)=89,(2,5)=90,(1,5)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=27\",\"Find(3)=1, Find(5)=0, Add (3,5)=17 Succeeded, w=44\",\"Find(4)=1, Find(6)=1, Add (4,6)=34 Failed, w=44\",\"Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=44\",\"Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=87\",\"Find(3)=1, Find(6)=1, Add (3,6)=47 Failed, w=87\",\"Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=87\",\"Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=87\",\"Find(2)=1, Find(6)=1, Add (2,6)=57 Failed, w=87\",\"Find(0)=1, Find(6)=1, Add (0,6)=62 Failed, w=87\",\"Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=87\",\"Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=87\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=87\",\"Find(4)=1, Find(5)=1, Add (4,5)=72 Failed, w=87\",\"Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=87\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=87\",\"Find(2)=1, Find(5)=1, Add (2,5)=90 Failed, w=87\",\"Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,89],[0,3,57],[0,4,14],[0,5,7],[0,6,62],[1,2,43],[1,3,2],[1,4,72],[1,5,94],[1,6,4],[2,3,72],[2,4,72],[2,5,90],[2,6,57],[3,4,54],[3,5,17],[3,6,47],[4,5,72],[4,6,34],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,6)=4,(0,5)=7,(0,4)=14,(3,5)=17,(4,6)=34,(0,1)=43,(1,2)=43,(3,6)=47,(3,4)=54,(0,3)=57,(2,6)=57,(0,6)=62,(1,4)=72,(2,3)=72,(2,4)=72,(4,5)=72,(5,6)=87,(0,2)=89,(2,5)=90,(1,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 1}, Find(3)=1, Find(5)=0, Add (3,5)=17 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=34 Failed, w=44\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=47 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=57 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=62 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=72 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=90 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,3],[0,2,11],[1,4,78],[1,5,8],[1,6,55],[2,3,36],[2,5,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,11],[1,4,78],[1,5,8],[1,6,55],[2,3,36],[2,5,52]]}",
"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\":[[0,1,3],[0,2,11],[1,4,78],[1,5,8],[1,6,55],[2,3,36],[2,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (1,4)\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,11],[1,4,78],[1,5,8],[1,6,55],[2,3,36],[2,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (1,5)=8, w=11\",\"Add (0,2)=11, w=22\",\"Add (2,3)=36, w=58\",\"Add (1,6)=55, w=113\",\"Add (1,4)=78, 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\":[[0,1,3],[0,2,11],[1,4,78],[1,5,8],[1,6,55],[2,3,36],[2,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,5)=8 Succeeded, w=11\",\"Add (0,2)=11 Succeeded, w=22\",\"Add (2,3)=36 Succeeded, w=58\",\"Add (2,5)=52 Failed, w=58\",\"Add (1,6)=55 Succeeded, w=113\",\"Add (1,4)=78 Succeeded, 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\":[[0,1,3],[0,2,11],[1,4,78],[1,5,8],[1,6,55],[2,3,36],[2,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,5)=8,(0,2)=11,(2,3)=36,(2,5)=52,(1,6)=55,(1,4)=78]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(5)=5, Add (1,5)=8 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=22\",\"Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=58\",\"Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=58\",\"Find(1)=0, Find(6)=6, Add (1,6)=55 Succeeded, w=113\",\"Find(1)=0, Find(4)=4, Add (1,4)=78 Succeeded, 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\":[[0,1,3],[0,2,11],[1,4,78],[1,5,8],[1,6,55],[2,3,36],[2,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,5)=8,(0,2)=11,(2,3)=36,(2,5)=52,(1,6)=55,(1,4)=78]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(5)=5, Add (1,5)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=55 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=4, Add (1,4)=78 Succeeded, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,30],[0,2,56],[0,3,24],[1,2,74]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,56],[0,3,24],[1,2,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,56],[0,3,24],[1,2,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,56],[0,3,24],[1,2,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24, w=24\",\"Add (0,1)=30, w=54\",\"Add (0,2)=56, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,56],[0,3,24],[1,2,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=24 Succeeded, w=24\",\"Add (0,1)=30 Succeeded, w=54\",\"Add (0,2)=56 Succeeded, w=110\",\"Add (1,2)=74 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,56],[0,3,24],[1,2,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(0,1)=30,(0,2)=56,(1,2)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=54\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,56],[0,3,24],[1,2,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=24,(0,1)=30,(0,2)=56,(1,2)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,99],[0,2,21],[0,3,10],[0,4,73],[1,2,25],[1,4,98],[2,3,44],[2,4,28],[3,4,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,21],[0,3,10],[0,4,73],[1,2,25],[1,4,98],[2,3,44],[2,4,28],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,21],[0,3,10],[0,4,73],[1,2,25],[1,4,98],[2,3,44],[2,4,28],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,21],[0,3,10],[0,4,73],[1,2,25],[1,4,98],[2,3,44],[2,4,28],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (0,3)=10, w=12\",\"Add (0,2)=21, w=33\",\"Add (1,2)=25, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,21],[0,3,10],[0,4,73],[1,2,25],[1,4,98],[2,3,44],[2,4,28],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,3)=10 Succeeded, w=12\",\"Add (0,2)=21 Succeeded, w=33\",\"Add (1,2)=25 Succeeded, w=58\",\"Add (2,4)=28 Failed, w=58\",\"Add (2,3)=44 Failed, w=58\",\"Add (0,4)=73 Failed, w=58\",\"Add (1,4)=98 Failed, w=58\",\"Add (0,1)=99 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,21],[0,3,10],[0,4,73],[1,2,25],[1,4,98],[2,3,44],[2,4,28],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,3)=10,(0,2)=21,(1,2)=25,(2,4)=28,(2,3)=44,(0,4)=73,(1,4)=98,(0,1)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=12\",\"Find(0)=3, Find(2)=2, Add (0,2)=21 Succeeded, w=33\",\"Find(1)=1, Find(2)=3, Add (1,2)=25 Succeeded, w=58\",\"Find(2)=3, Find(4)=3, Add (2,4)=28 Failed, w=58\",\"Find(2)=3, Find(3)=3, Add (2,3)=44 Failed, w=58\",\"Find(0)=3, Find(4)=3, Add (0,4)=73 Failed, w=58\",\"Find(1)=3, Find(4)=3, Add (1,4)=98 Failed, w=58\",\"Find(0)=3, Find(1)=3, Add (0,1)=99 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,21],[0,3,10],[0,4,73],[1,2,25],[1,4,98],[2,3,44],[2,4,28],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,3)=10,(0,2)=21,(1,2)=25,(2,4)=28,(2,3)=44,(0,4)=73,(1,4)=98,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=12\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=2, Add (0,2)=21 Succeeded, w=33\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(2)=3, Add (1,2)=25 Succeeded, w=58\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=28 Failed, w=58\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=44 Failed, w=58\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=73 Failed, w=58\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=98 Failed, w=58\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=99 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,15],[0,2,56],[0,3,74],[0,4,31],[0,5,97],[0,6,92],[1,4,32],[1,5,72],[1,6,14],[1,7,58],[2,3,65],[2,4,93],[2,5,5],[2,6,17],[3,4,0],[3,5,35],[3,6,3],[3,7,59],[4,5,4],[4,6,47],[5,7,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,56],[0,3,74],[0,4,31],[0,5,97],[0,6,92],[1,4,32],[1,5,72],[1,6,14],[1,7,58],[2,3,65],[2,4,93],[2,5,5],[2,6,17],[3,4,0],[3,5,35],[3,6,3],[3,7,59],[4,5,4],[4,6,47],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,56],[0,3,74],[0,4,31],[0,5,97],[0,6,92],[1,4,32],[1,5,72],[1,6,14],[1,7,58],[2,3,65],[2,4,93],[2,5,5],[2,6,17],[3,4,0],[3,5,35],[3,6,3],[3,7,59],[4,5,4],[4,6,47],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (0,1)\",\"Add (5,7)\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,56],[0,3,74],[0,4,31],[0,5,97],[0,6,92],[1,4,32],[1,5,72],[1,6,14],[1,7,58],[2,3,65],[2,4,93],[2,5,5],[2,6,17],[3,4,0],[3,5,35],[3,6,3],[3,7,59],[4,5,4],[4,6,47],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (3,6)=3, w=3\",\"Add (4,5)=4, w=7\",\"Add (2,5)=5, w=12\",\"Add (1,6)=14, w=26\",\"Add (0,1)=15, w=41\",\"Add (5,7)=15, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,56],[0,3,74],[0,4,31],[0,5,97],[0,6,92],[1,4,32],[1,5,72],[1,6,14],[1,7,58],[2,3,65],[2,4,93],[2,5,5],[2,6,17],[3,4,0],[3,5,35],[3,6,3],[3,7,59],[4,5,4],[4,6,47],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (3,6)=3 Succeeded, w=3\",\"Add (4,5)=4 Succeeded, w=7\",\"Add (2,5)=5 Succeeded, w=12\",\"Add (1,6)=14 Succeeded, w=26\",\"Add (0,1)=15 Succeeded, w=41\",\"Add (5,7)=15 Succeeded, w=56\",\"Add (2,6)=17 Failed, w=56\",\"Add (0,4)=31 Failed, w=56\",\"Add (1,4)=32 Failed, w=56\",\"Add (3,5)=35 Failed, w=56\",\"Add (4,6)=47 Failed, w=56\",\"Add (0,2)=56 Failed, w=56\",\"Add (1,7)=58 Failed, w=56\",\"Add (3,7)=59 Failed, w=56\",\"Add (2,3)=65 Failed, w=56\",\"Add (1,5)=72 Failed, w=56\",\"Add (0,3)=74 Failed, w=56\",\"Add (0,6)=92 Failed, w=56\",\"Add (2,4)=93 Failed, w=56\",\"Add (0,5)=97 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,56],[0,3,74],[0,4,31],[0,5,97],[0,6,92],[1,4,32],[1,5,72],[1,6,14],[1,7,58],[2,3,65],[2,4,93],[2,5,5],[2,6,17],[3,4,0],[3,5,35],[3,6,3],[3,7,59],[4,5,4],[4,6,47],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(3,6)=3,(4,5)=4,(2,5)=5,(1,6)=14,(0,1)=15,(5,7)=15,(2,6)=17,(0,4)=31,(1,4)=32,(3,5)=35,(4,6)=47,(0,2)=56,(1,7)=58,(3,7)=59,(2,3)=65,(1,5)=72,(0,3)=74,(0,6)=92,(2,4)=93,(0,5)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(4)=3, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Find(2)=2, Find(5)=3, Add (2,5)=5 Succeeded, w=12\",\"Find(1)=1, Find(6)=3, Add (1,6)=14 Succeeded, w=26\",\"Find(0)=0, Find(1)=3, Add (0,1)=15 Succeeded, w=41\",\"Find(5)=3, Find(7)=7, Add (5,7)=15 Succeeded, w=56\",\"Find(2)=3, Find(6)=3, Add (2,6)=17 Failed, w=56\",\"Find(0)=3, Find(4)=3, Add (0,4)=31 Failed, w=56\",\"Find(1)=3, Find(4)=3, Add (1,4)=32 Failed, w=56\",\"Find(3)=3, Find(5)=3, Add (3,5)=35 Failed, w=56\",\"Find(4)=3, Find(6)=3, Add (4,6)=47 Failed, w=56\",\"Find(0)=3, Find(2)=3, Add (0,2)=56 Failed, w=56\",\"Find(1)=3, Find(7)=3, Add (1,7)=58 Failed, w=56\",\"Find(3)=3, Find(7)=3, Add (3,7)=59 Failed, w=56\",\"Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=56\",\"Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=56\",\"Find(0)=3, Find(3)=3, Add (0,3)=74 Failed, w=56\",\"Find(0)=3, Find(6)=3, Add (0,6)=92 Failed, w=56\",\"Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=56\",\"Find(0)=3, Find(5)=3, Add (0,5)=97 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,56],[0,3,74],[0,4,31],[0,5,97],[0,6,92],[1,4,32],[1,5,72],[1,6,14],[1,7,58],[2,3,65],[2,4,93],[2,5,5],[2,6,17],[3,4,0],[3,5,35],[3,6,3],[3,7,59],[4,5,4],[4,6,47],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(3,6)=3,(4,5)=4,(2,5)=5,(1,6)=14,(0,1)=15,(5,7)=15,(2,6)=17,(0,4)=31,(1,4)=32,(3,5)=35,(4,6)=47,(0,2)=56,(1,7)=58,(3,7)=59,(2,3)=65,(1,5)=72,(0,3)=74,(0,6)=92,(2,4)=93,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(4)=3, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(2)=2, Find(5)=3, Add (2,5)=5 Succeeded, w=12\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=1, Find(6)=3, Add (1,6)=14 Succeeded, w=26\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(0)=0, Find(1)=3, Add (0,1)=15 Succeeded, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=7, Add (5,7)=15 Succeeded, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=17 Failed, w=56\",\"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)=31 Failed, w=56\",\"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)=32 Failed, w=56\",\"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)=35 Failed, w=56\",\"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)=47 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=56 Failed, w=56\",\"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)=58 Failed, w=56\",\"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)=59 Failed, w=56\",\"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=56\",\"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)=72 Failed, w=56\",\"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)=74 Failed, w=56\",\"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)=92 Failed, w=56\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=56\",\"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)=97 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,32],[0,2,3],[0,3,24],[0,6,83],[0,7,26],[1,2,99],[1,3,85],[1,5,27],[1,6,64],[1,7,15],[2,3,77],[2,4,73],[2,5,57],[2,6,87],[3,4,0],[3,5,77],[3,6,60],[3,7,21],[4,6,47],[4,7,37],[5,6,27],[5,7,96],[6,7,6]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,3],[0,3,24],[0,6,83],[0,7,26],[1,2,99],[1,3,85],[1,5,27],[1,6,64],[1,7,15],[2,3,77],[2,4,73],[2,5,57],[2,6,87],[3,4,0],[3,5,77],[3,6,60],[3,7,21],[4,6,47],[4,7,37],[5,6,27],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,3],[0,3,24],[0,6,83],[0,7,26],[1,2,99],[1,3,85],[1,5,27],[1,6,64],[1,7,15],[2,3,77],[2,4,73],[2,5,57],[2,6,87],[3,4,0],[3,5,77],[3,6,60],[3,7,21],[4,6,47],[4,7,37],[5,6,27],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (6,7)\",\"Add (1,7)\",\"Add (3,7)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,3],[0,3,24],[0,6,83],[0,7,26],[1,2,99],[1,3,85],[1,5,27],[1,6,64],[1,7,15],[2,3,77],[2,4,73],[2,5,57],[2,6,87],[3,4,0],[3,5,77],[3,6,60],[3,7,21],[4,6,47],[4,7,37],[5,6,27],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (0,2)=3, w=3\",\"Add (6,7)=6, w=9\",\"Add (1,7)=15, w=24\",\"Add (3,7)=21, w=45\",\"Add (0,3)=24, w=69\",\"Add (1,5)=27, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,3],[0,3,24],[0,6,83],[0,7,26],[1,2,99],[1,3,85],[1,5,27],[1,6,64],[1,7,15],[2,3,77],[2,4,73],[2,5,57],[2,6,87],[3,4,0],[3,5,77],[3,6,60],[3,7,21],[4,6,47],[4,7,37],[5,6,27],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (0,2)=3 Succeeded, w=3\",\"Add (6,7)=6 Succeeded, w=9\",\"Add (1,7)=15 Succeeded, w=24\",\"Add (3,7)=21 Succeeded, w=45\",\"Add (0,3)=24 Succeeded, w=69\",\"Add (0,7)=26 Failed, w=69\",\"Add (1,5)=27 Succeeded, w=96\",\"Add (5,6)=27 Failed, w=96\",\"Add (0,1)=32 Failed, w=96\",\"Add (4,7)=37 Failed, w=96\",\"Add (4,6)=47 Failed, w=96\",\"Add (2,5)=57 Failed, w=96\",\"Add (3,6)=60 Failed, w=96\",\"Add (1,6)=64 Failed, w=96\",\"Add (2,4)=73 Failed, w=96\",\"Add (2,3)=77 Failed, w=96\",\"Add (3,5)=77 Failed, w=96\",\"Add (0,6)=83 Failed, w=96\",\"Add (1,3)=85 Failed, w=96\",\"Add (2,6)=87 Failed, w=96\",\"Add (5,7)=96 Failed, w=96\",\"Add (1,2)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,3],[0,3,24],[0,6,83],[0,7,26],[1,2,99],[1,3,85],[1,5,27],[1,6,64],[1,7,15],[2,3,77],[2,4,73],[2,5,57],[2,6,87],[3,4,0],[3,5,77],[3,6,60],[3,7,21],[4,6,47],[4,7,37],[5,6,27],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,2)=3,(6,7)=6,(1,7)=15,(3,7)=21,(0,3)=24,(0,7)=26,(1,5)=27,(5,6)=27,(0,1)=32,(4,7)=37,(4,6)=47,(2,5)=57,(3,6)=60,(1,6)=64,(2,4)=73,(2,3)=77,(3,5)=77,(0,6)=83,(1,3)=85,(2,6)=87,(5,7)=96,(1,2)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=9\",\"Find(1)=1, Find(7)=6, Add (1,7)=15 Succeeded, w=24\",\"Find(3)=3, Find(7)=6, Add (3,7)=21 Succeeded, w=45\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=69\",\"Find(0)=3, Find(7)=3, Add (0,7)=26 Failed, w=69\",\"Find(1)=3, Find(5)=5, Add (1,5)=27 Succeeded, w=96\",\"Find(5)=3, Find(6)=3, Add (5,6)=27 Failed, w=96\",\"Find(0)=3, Find(1)=3, Add (0,1)=32 Failed, w=96\",\"Find(4)=3, Find(7)=3, Add (4,7)=37 Failed, w=96\",\"Find(4)=3, Find(6)=3, Add (4,6)=47 Failed, w=96\",\"Find(2)=3, Find(5)=3, Add (2,5)=57 Failed, w=96\",\"Find(3)=3, Find(6)=3, Add (3,6)=60 Failed, w=96\",\"Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=96\",\"Find(2)=3, Find(4)=3, Add (2,4)=73 Failed, w=96\",\"Find(2)=3, Find(3)=3, Add (2,3)=77 Failed, w=96\",\"Find(3)=3, Find(5)=3, Add (3,5)=77 Failed, w=96\",\"Find(0)=3, Find(6)=3, Add (0,6)=83 Failed, w=96\",\"Find(1)=3, Find(3)=3, Add (1,3)=85 Failed, w=96\",\"Find(2)=3, Find(6)=3, Add (2,6)=87 Failed, w=96\",\"Find(5)=3, Find(7)=3, Add (5,7)=96 Failed, w=96\",\"Find(1)=3, Find(2)=3, Add (1,2)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,3],[0,3,24],[0,6,83],[0,7,26],[1,2,99],[1,3,85],[1,5,27],[1,6,64],[1,7,15],[2,3,77],[2,4,73],[2,5,57],[2,6,87],[3,4,0],[3,5,77],[3,6,60],[3,7,21],[4,6,47],[4,7,37],[5,6,27],[5,7,96],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,2)=3,(6,7)=6,(1,7)=15,(3,7)=21,(0,3)=24,(0,7)=26,(1,5)=27,(5,6)=27,(0,1)=32,(4,7)=37,(4,6)=47,(2,5)=57,(3,6)=60,(1,6)=64,(2,4)=73,(2,3)=77,(3,5)=77,(0,6)=83,(1,3)=85,(2,6)=87,(5,7)=96,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(7)=6, Add (1,7)=15 Succeeded, w=24\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=21 Succeeded, w=45\",\"Parent: {0: 3, 1: 6, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=69\",\"Parent: {0: 3, 1: 6, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=26 Failed, w=69\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=5, Add (1,5)=27 Succeeded, w=96\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=27 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=32 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=37 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=47 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=57 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=60 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=73 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=77 Failed, w=96\",\"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)=77 Failed, w=96\",\"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)=83 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=85 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=87 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=96 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,61],[0,4,12],[1,2,57],[1,3,4],[2,4,22]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,61],[0,4,12],[1,2,57],[1,3,4],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,61],[0,4,12],[1,2,57],[1,3,4],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,61],[0,4,12],[1,2,57],[1,3,4],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,4)=12, w=16\",\"Add (2,4)=22, w=38\",\"Add (1,2)=57, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,61],[0,4,12],[1,2,57],[1,3,4],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,4)=12 Succeeded, w=16\",\"Add (2,4)=22 Succeeded, w=38\",\"Add (1,2)=57 Succeeded, w=95\",\"Add (0,3)=61 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,61],[0,4,12],[1,2,57],[1,3,4],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,4)=12,(2,4)=22,(1,2)=57,(0,3)=61]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=16\",\"Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=38\",\"Find(1)=1, Find(2)=0, Add (1,2)=57 Succeeded, w=95\",\"Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,61],[0,4,12],[1,2,57],[1,3,4],[2,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,4)=12,(2,4)=22,(1,2)=57,(0,3)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=57 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,73],[0,5,24],[1,2,39],[1,3,30],[1,4,60],[2,3,22],[2,4,33],[3,4,14],[3,5,53],[4,5,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,5,24],[1,2,39],[1,3,30],[1,4,60],[2,3,22],[2,4,33],[3,4,14],[3,5,53],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,5,24],[1,2,39],[1,3,30],[1,4,60],[2,3,22],[2,4,33],[3,4,14],[3,5,53],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,5,24],[1,2,39],[1,3,30],[1,4,60],[2,3,22],[2,4,33],[3,4,14],[3,5,53],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=14, w=14\",\"Add (2,3)=22, w=36\",\"Add (0,5)=24, w=60\",\"Add (1,3)=30, w=90\",\"Add (4,5)=35, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,5,24],[1,2,39],[1,3,30],[1,4,60],[2,3,22],[2,4,33],[3,4,14],[3,5,53],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=14 Succeeded, w=14\",\"Add (2,3)=22 Succeeded, w=36\",\"Add (0,5)=24 Succeeded, w=60\",\"Add (1,3)=30 Succeeded, w=90\",\"Add (2,4)=33 Failed, w=90\",\"Add (4,5)=35 Succeeded, w=125\",\"Add (1,2)=39 Failed, w=125\",\"Add (3,5)=53 Failed, w=125\",\"Add (1,4)=60 Failed, w=125\",\"Add (0,1)=73 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,5,24],[1,2,39],[1,3,30],[1,4,60],[2,3,22],[2,4,33],[3,4,14],[3,5,53],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=14,(2,3)=22,(0,5)=24,(1,3)=30,(2,4)=33,(4,5)=35,(1,2)=39,(3,5)=53,(1,4)=60,(0,1)=73]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=36\",\"Find(0)=0, Find(5)=5, Add (0,5)=24 Succeeded, w=60\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=90\",\"Find(2)=3, Find(4)=3, Add (2,4)=33 Failed, w=90\",\"Find(4)=3, Find(5)=0, Add (4,5)=35 Succeeded, w=125\",\"Find(1)=3, Find(2)=3, Add (1,2)=39 Failed, w=125\",\"Find(3)=3, Find(5)=3, Add (3,5)=53 Failed, w=125\",\"Find(1)=3, Find(4)=3, Add (1,4)=60 Failed, w=125\",\"Find(0)=3, Find(1)=3, Add (0,1)=73 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,5,24],[1,2,39],[1,3,30],[1,4,60],[2,3,22],[2,4,33],[3,4,14],[3,5,53],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=14,(2,3)=22,(0,5)=24,(1,3)=30,(2,4)=33,(4,5)=35,(1,2)=39,(3,5)=53,(1,4)=60,(0,1)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=24 Succeeded, w=60\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=90\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=3, Find(4)=3, Add (2,4)=33 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(4)=3, Find(5)=0, Add (4,5)=35 Succeeded, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(2)=3, Add (1,2)=39 Failed, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=53 Failed, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=60 Failed, w=125\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=73 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,40],[0,2,35],[0,3,76],[0,4,62],[1,2,41],[1,3,64],[1,4,24],[2,3,99],[2,4,61],[3,4,21]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,35],[0,3,76],[0,4,62],[1,2,41],[1,3,64],[1,4,24],[2,3,99],[2,4,61],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,35],[0,3,76],[0,4,62],[1,2,41],[1,3,64],[1,4,24],[2,3,99],[2,4,61],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,35],[0,3,76],[0,4,62],[1,2,41],[1,3,64],[1,4,24],[2,3,99],[2,4,61],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21, w=21\",\"Add (1,4)=24, w=45\",\"Add (0,2)=35, w=80\",\"Add (0,1)=40, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,35],[0,3,76],[0,4,62],[1,2,41],[1,3,64],[1,4,24],[2,3,99],[2,4,61],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21 Succeeded, w=21\",\"Add (1,4)=24 Succeeded, w=45\",\"Add (0,2)=35 Succeeded, w=80\",\"Add (0,1)=40 Succeeded, w=120\",\"Add (1,2)=41 Failed, w=120\",\"Add (2,4)=61 Failed, w=120\",\"Add (0,4)=62 Failed, w=120\",\"Add (1,3)=64 Failed, w=120\",\"Add (0,3)=76 Failed, w=120\",\"Add (2,3)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,35],[0,3,76],[0,4,62],[1,2,41],[1,3,64],[1,4,24],[2,3,99],[2,4,61],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(1,4)=24,(0,2)=35,(0,1)=40,(1,2)=41,(2,4)=61,(0,4)=62,(1,3)=64,(0,3)=76,(2,3)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Find(1)=1, Find(4)=3, Add (1,4)=24 Succeeded, w=45\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=80\",\"Find(0)=0, Find(1)=3, Add (0,1)=40 Succeeded, w=120\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=120\",\"Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=120\",\"Find(0)=0, Find(4)=0, Add (0,4)=62 Failed, w=120\",\"Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=120\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,35],[0,3,76],[0,4,62],[1,2,41],[1,3,64],[1,4,24],[2,3,99],[2,4,61],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(1,4)=24,(0,2)=35,(0,1)=40,(1,2)=41,(2,4)=61,(0,4)=62,(1,3)=64,(0,3)=76,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=24 Succeeded, w=45\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=80\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(1)=3, Add (0,1)=40 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=62 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,78],[0,2,87],[0,3,25],[0,4,69],[0,5,76],[1,3,50],[1,4,28],[1,5,8],[3,4,50],[4,5,19]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,87],[0,3,25],[0,4,69],[0,5,76],[1,3,50],[1,4,28],[1,5,8],[3,4,50],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,87],[0,3,25],[0,4,69],[0,5,76],[1,3,50],[1,4,28],[1,5,8],[3,4,50],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,87],[0,3,25],[0,4,69],[0,5,76],[1,3,50],[1,4,28],[1,5,8],[3,4,50],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8, w=8\",\"Add (4,5)=19, w=27\",\"Add (0,3)=25, w=52\",\"Add (1,3)=50, w=102\",\"Add (0,2)=87, w=189\"],\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,87],[0,3,25],[0,4,69],[0,5,76],[1,3,50],[1,4,28],[1,5,8],[3,4,50],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8 Succeeded, w=8\",\"Add (4,5)=19 Succeeded, w=27\",\"Add (0,3)=25 Succeeded, w=52\",\"Add (1,4)=28 Failed, w=52\",\"Add (1,3)=50 Succeeded, w=102\",\"Add (3,4)=50 Failed, w=102\",\"Add (0,4)=69 Failed, w=102\",\"Add (0,5)=76 Failed, w=102\",\"Add (0,1)=78 Failed, w=102\",\"Add (0,2)=87 Succeeded, w=189\"],\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,87],[0,3,25],[0,4,69],[0,5,76],[1,3,50],[1,4,28],[1,5,8],[3,4,50],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(4,5)=19,(0,3)=25,(1,4)=28,(1,3)=50,(3,4)=50,(0,4)=69,(0,5)=76,(0,1)=78,(0,2)=87]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Find(4)=4, Find(5)=1, Add (4,5)=19 Succeeded, w=27\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=52\",\"Find(1)=1, Find(4)=1, Add (1,4)=28 Failed, w=52\",\"Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=102\",\"Find(3)=1, Find(4)=1, Add (3,4)=50 Failed, w=102\",\"Find(0)=1, Find(4)=1, Add (0,4)=69 Failed, w=102\",\"Find(0)=1, Find(5)=1, Add (0,5)=76 Failed, w=102\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=102\",\"Find(0)=1, Find(2)=2, Add (0,2)=87 Succeeded, w=189\"],\"Answer\":189}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,87],[0,3,25],[0,4,69],[0,5,76],[1,3,50],[1,4,28],[1,5,8],[3,4,50],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(4,5)=19,(0,3)=25,(1,4)=28,(1,3)=50,(3,4)=50,(0,4)=69,(0,5)=76,(0,1)=78,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=19 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=28 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=50 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=69 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=76 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=2, Add (0,2)=87 Succeeded, w=189\"],\"Answer\":189}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,2,29],[0,3,45],[1,2,95],[1,3,5],[1,4,33],[2,3,22],[2,4,71],[2,6,96],[3,4,84],[3,6,23],[4,5,69],[4,6,92],[5,6,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,29],[0,3,45],[1,2,95],[1,3,5],[1,4,33],[2,3,22],[2,4,71],[2,6,96],[3,4,84],[3,6,23],[4,5,69],[4,6,92],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,29],[0,3,45],[1,2,95],[1,3,5],[1,4,33],[2,3,22],[2,4,71],[2,6,96],[3,4,84],[3,6,23],[4,5,69],[4,6,92],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (4,5)\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,29],[0,3,45],[1,2,95],[1,3,5],[1,4,33],[2,3,22],[2,4,71],[2,6,96],[3,4,84],[3,6,23],[4,5,69],[4,6,92],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (2,3)=22, w=27\",\"Add (3,6)=23, w=50\",\"Add (0,2)=29, w=79\",\"Add (1,4)=33, w=112\",\"Add (4,5)=69, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,29],[0,3,45],[1,2,95],[1,3,5],[1,4,33],[2,3,22],[2,4,71],[2,6,96],[3,4,84],[3,6,23],[4,5,69],[4,6,92],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,3)=22 Succeeded, w=27\",\"Add (3,6)=23 Succeeded, w=50\",\"Add (0,2)=29 Succeeded, w=79\",\"Add (1,4)=33 Succeeded, w=112\",\"Add (0,3)=45 Failed, w=112\",\"Add (4,5)=69 Succeeded, w=181\",\"Add (2,4)=71 Failed, w=181\",\"Add (0,1)=79 Failed, w=181\",\"Add (5,6)=79 Failed, w=181\",\"Add (3,4)=84 Failed, w=181\",\"Add (4,6)=92 Failed, w=181\",\"Add (1,2)=95 Failed, w=181\",\"Add (2,6)=96 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,29],[0,3,45],[1,2,95],[1,3,5],[1,4,33],[2,3,22],[2,4,71],[2,6,96],[3,4,84],[3,6,23],[4,5,69],[4,6,92],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=22,(3,6)=23,(0,2)=29,(1,4)=33,(0,3)=45,(4,5)=69,(2,4)=71,(0,1)=79,(5,6)=79,(3,4)=84,(4,6)=92,(1,2)=95,(2,6)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=1, Add (2,3)=22 Succeeded, w=27\",\"Find(3)=1, Find(6)=6, Add (3,6)=23 Succeeded, w=50\",\"Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=79\",\"Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=112\",\"Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=112\",\"Find(4)=1, Find(5)=5, Add (4,5)=69 Succeeded, w=181\",\"Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=181\",\"Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=181\",\"Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=181\",\"Find(3)=1, Find(4)=1, Add (3,4)=84 Failed, w=181\",\"Find(4)=1, Find(6)=1, Add (4,6)=92 Failed, w=181\",\"Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=181\",\"Find(2)=1, Find(6)=1, Add (2,6)=96 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,29],[0,3,45],[1,2,95],[1,3,5],[1,4,33],[2,3,22],[2,4,71],[2,6,96],[3,4,84],[3,6,23],[4,5,69],[4,6,92],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=22,(3,6)=23,(0,2)=29,(1,4)=33,(0,3)=45,(4,5)=69,(2,4)=71,(0,1)=79,(5,6)=79,(3,4)=84,(4,6)=92,(1,2)=95,(2,6)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=1, Add (2,3)=22 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=23 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=5, Add (4,5)=69 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=84 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=92 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=96 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,43],[0,3,36],[0,4,45],[0,5,54],[1,2,53],[1,4,46],[1,5,82],[2,3,79],[2,4,88],[2,5,39],[3,4,44],[3,5,59],[4,5,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,36],[0,4,45],[0,5,54],[1,2,53],[1,4,46],[1,5,82],[2,3,79],[2,4,88],[2,5,39],[3,4,44],[3,5,59],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,36],[0,4,45],[0,5,54],[1,2,53],[1,4,46],[1,5,82],[2,3,79],[2,4,88],[2,5,39],[3,4,44],[3,5,59],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,36],[0,4,45],[0,5,54],[1,2,53],[1,4,46],[1,5,82],[2,3,79],[2,4,88],[2,5,39],[3,4,44],[3,5,59],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=32, w=32\",\"Add (0,3)=36, w=68\",\"Add (2,5)=39, w=107\",\"Add (0,1)=43, w=150\",\"Add (3,4)=44, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,36],[0,4,45],[0,5,54],[1,2,53],[1,4,46],[1,5,82],[2,3,79],[2,4,88],[2,5,39],[3,4,44],[3,5,59],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=32 Succeeded, w=32\",\"Add (0,3)=36 Succeeded, w=68\",\"Add (2,5)=39 Succeeded, w=107\",\"Add (0,1)=43 Succeeded, w=150\",\"Add (3,4)=44 Succeeded, w=194\",\"Add (0,4)=45 Failed, w=194\",\"Add (1,4)=46 Failed, w=194\",\"Add (1,2)=53 Failed, w=194\",\"Add (0,5)=54 Failed, w=194\",\"Add (3,5)=59 Failed, w=194\",\"Add (2,3)=79 Failed, w=194\",\"Add (1,5)=82 Failed, w=194\",\"Add (2,4)=88 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,36],[0,4,45],[0,5,54],[1,2,53],[1,4,46],[1,5,82],[2,3,79],[2,4,88],[2,5,39],[3,4,44],[3,5,59],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=32,(0,3)=36,(2,5)=39,(0,1)=43,(3,4)=44,(0,4)=45,(1,4)=46,(1,2)=53,(0,5)=54,(3,5)=59,(2,3)=79,(1,5)=82,(2,4)=88]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=32 Succeeded, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=68\",\"Find(2)=2, Find(5)=4, Add (2,5)=39 Succeeded, w=107\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=150\",\"Find(3)=0, Find(4)=4, Add (3,4)=44 Succeeded, w=194\",\"Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=194\",\"Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=194\",\"Find(1)=0, Find(2)=0, Add (1,2)=53 Failed, w=194\",\"Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=194\",\"Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=194\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=194\",\"Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=194\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,3,36],[0,4,45],[0,5,54],[1,2,53],[1,4,46],[1,5,82],[2,3,79],[2,4,88],[2,5,39],[3,4,44],[3,5,59],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=32,(0,3)=36,(2,5)=39,(0,1)=43,(3,4)=44,(0,4)=45,(1,4)=46,(1,2)=53,(0,5)=54,(3,5)=59,(2,3)=79,(1,5)=82,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=39 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4}, Find(3)=0, Find(4)=4, Add (3,4)=44 Succeeded, w=194\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(2)=0, Add (1,2)=53 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,25],[0,3,27],[0,4,74],[1,2,83],[1,3,27],[1,4,94],[2,3,27],[3,4,77]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,25],[0,3,27],[0,4,74],[1,2,83],[1,3,27],[1,4,94],[2,3,27],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,25],[0,3,27],[0,4,74],[1,2,83],[1,3,27],[1,4,94],[2,3,27],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,25],[0,3,27],[0,4,74],[1,2,83],[1,3,27],[1,4,94],[2,3,27],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=25, w=25\",\"Add (0,3)=27, w=52\",\"Add (1,3)=27, w=79\",\"Add (0,4)=74, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,25],[0,3,27],[0,4,74],[1,2,83],[1,3,27],[1,4,94],[2,3,27],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=25 Succeeded, w=25\",\"Add (0,3)=27 Succeeded, w=52\",\"Add (1,3)=27 Succeeded, w=79\",\"Add (2,3)=27 Failed, w=79\",\"Add (0,1)=32 Failed, w=79\",\"Add (0,4)=74 Succeeded, w=153\",\"Add (3,4)=77 Failed, w=153\",\"Add (1,2)=83 Failed, w=153\",\"Add (1,4)=94 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,25],[0,3,27],[0,4,74],[1,2,83],[1,3,27],[1,4,94],[2,3,27],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=25,(0,3)=27,(1,3)=27,(2,3)=27,(0,1)=32,(0,4)=74,(3,4)=77,(1,2)=83,(1,4)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=52\",\"Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=79\",\"Find(0)=0, Find(4)=4, Add (0,4)=74 Succeeded, w=153\",\"Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=153\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=153\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,25],[0,3,27],[0,4,74],[1,2,83],[1,3,27],[1,4,94],[2,3,27],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=25,(0,3)=27,(1,3)=27,(2,3)=27,(0,1)=32,(0,4)=74,(3,4)=77,(1,2)=83,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=74 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,71],[0,4,35],[0,5,38],[1,2,75],[1,3,6],[2,3,94],[2,4,87],[2,5,12],[2,6,77],[3,4,16],[4,5,65],[5,6,90]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,4,35],[0,5,38],[1,2,75],[1,3,6],[2,3,94],[2,4,87],[2,5,12],[2,6,77],[3,4,16],[4,5,65],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,4,35],[0,5,38],[1,2,75],[1,3,6],[2,3,94],[2,4,87],[2,5,12],[2,6,77],[3,4,16],[4,5,65],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (2,6)\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,4,35],[0,5,38],[1,2,75],[1,3,6],[2,3,94],[2,4,87],[2,5,12],[2,6,77],[3,4,16],[4,5,65],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (2,5)=12, w=18\",\"Add (3,4)=16, w=34\",\"Add (0,4)=35, w=69\",\"Add (0,5)=38, w=107\",\"Add (2,6)=77, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,4,35],[0,5,38],[1,2,75],[1,3,6],[2,3,94],[2,4,87],[2,5,12],[2,6,77],[3,4,16],[4,5,65],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (2,5)=12 Succeeded, w=18\",\"Add (3,4)=16 Succeeded, w=34\",\"Add (0,4)=35 Succeeded, w=69\",\"Add (0,5)=38 Succeeded, w=107\",\"Add (4,5)=65 Failed, w=107\",\"Add (0,2)=71 Failed, w=107\",\"Add (1,2)=75 Failed, w=107\",\"Add (2,6)=77 Succeeded, w=184\",\"Add (2,4)=87 Failed, w=184\",\"Add (5,6)=90 Failed, w=184\",\"Add (2,3)=94 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,4,35],[0,5,38],[1,2,75],[1,3,6],[2,3,94],[2,4,87],[2,5,12],[2,6,77],[3,4,16],[4,5,65],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(2,5)=12,(3,4)=16,(0,4)=35,(0,5)=38,(4,5)=65,(0,2)=71,(1,2)=75,(2,6)=77,(2,4)=87,(5,6)=90,(2,3)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=18\",\"Find(3)=1, Find(4)=4, Add (3,4)=16 Succeeded, w=34\",\"Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=69\",\"Find(0)=1, Find(5)=2, Add (0,5)=38 Succeeded, w=107\",\"Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=107\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=107\",\"Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=107\",\"Find(2)=1, Find(6)=6, Add (2,6)=77 Succeeded, w=184\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=184\",\"Find(5)=1, Find(6)=1, Add (5,6)=90 Failed, w=184\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,71],[0,4,35],[0,5,38],[1,2,75],[1,3,6],[2,3,94],[2,4,87],[2,5,12],[2,6,77],[3,4,16],[4,5,65],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(2,5)=12,(3,4)=16,(0,4)=35,(0,5)=38,(4,5)=65,(0,2)=71,(1,2)=75,(2,6)=77,(2,4)=87,(5,6)=90,(2,3)=94]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(3)=1, Find(4)=4, Add (3,4)=16 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 6}, Find(0)=1, Find(5)=2, Add (0,5)=38 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=77 Succeeded, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=90 Failed, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,56],[0,3,59],[1,2,50],[1,4,61],[2,3,59],[3,4,36]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,59],[1,2,50],[1,4,61],[2,3,59],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,59],[1,2,50],[1,4,61],[2,3,59],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":201}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,59],[1,2,50],[1,4,61],[2,3,59],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=36, w=36\",\"Add (1,2)=50, w=86\",\"Add (0,1)=56, w=142\",\"Add (0,3)=59, w=201\"],\"Answer\":201}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,59],[1,2,50],[1,4,61],[2,3,59],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=36 Succeeded, w=36\",\"Add (1,2)=50 Succeeded, w=86\",\"Add (0,1)=56 Succeeded, w=142\",\"Add (0,3)=59 Succeeded, w=201\",\"Add (2,3)=59 Failed, w=201\",\"Add (1,4)=61 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,59],[1,2,50],[1,4,61],[2,3,59],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=36,(1,2)=50,(0,1)=56,(0,3)=59,(2,3)=59,(1,4)=61]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=36 Succeeded, w=36\",\"Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=86\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=142\",\"Find(0)=1, Find(3)=3, Add (0,3)=59 Succeeded, w=201\",\"Find(2)=1, Find(3)=1, Add (2,3)=59 Failed, w=201\",\"Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,59],[1,2,50],[1,4,61],[2,3,59],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=36,(1,2)=50,(0,1)=56,(0,3)=59,(2,3)=59,(1,4)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(3)=3, Add (0,3)=59 Succeeded, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(3)=1, Add (2,3)=59 Failed, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,23],[0,2,4],[0,3,50],[1,2,35],[1,3,5]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,4],[0,3,50],[1,2,35],[1,3,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":32}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,4],[0,3,50],[1,2,35],[1,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":32}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,4],[0,3,50],[1,2,35],[1,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (1,3)=5, w=9\",\"Add (0,1)=23, w=32\"],\"Answer\":32}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,4],[0,3,50],[1,2,35],[1,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (1,3)=5 Succeeded, w=9\",\"Add (0,1)=23 Succeeded, w=32\",\"Add (1,2)=35 Failed, w=32\",\"Add (0,3)=50 Failed, w=32\"],\"Answer\":32}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,4],[0,3,50],[1,2,35],[1,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,3)=5,(0,1)=23,(1,2)=35,(0,3)=50]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=32\",\"Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=32\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=32\"],\"Answer\":32}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,4],[0,3,50],[1,2,35],[1,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,3)=5,(0,1)=23,(1,2)=35,(0,3)=50]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=35 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=32\"],\"Answer\":32}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,49],[0,2,42],[0,3,34],[0,5,64],[0,6,51],[1,2,52],[1,6,97],[2,3,35],[2,4,10],[2,5,37],[2,6,25],[3,4,39],[3,5,2],[3,6,65],[4,5,92],[4,6,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,42],[0,3,34],[0,5,64],[0,6,51],[1,2,52],[1,6,97],[2,3,35],[2,4,10],[2,5,37],[2,6,25],[3,4,39],[3,5,2],[3,6,65],[4,5,92],[4,6,81]]}",
"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\":[[0,1,49],[0,2,42],[0,3,34],[0,5,64],[0,6,51],[1,2,52],[1,6,97],[2,3,35],[2,4,10],[2,5,37],[2,6,25],[3,4,39],[3,5,2],[3,6,65],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,42],[0,3,34],[0,5,64],[0,6,51],[1,2,52],[1,6,97],[2,3,35],[2,4,10],[2,5,37],[2,6,25],[3,4,39],[3,5,2],[3,6,65],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (2,4)=10, w=12\",\"Add (2,6)=25, w=37\",\"Add (0,3)=34, w=71\",\"Add (2,3)=35, w=106\",\"Add (0,1)=49, 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\":[[0,1,49],[0,2,42],[0,3,34],[0,5,64],[0,6,51],[1,2,52],[1,6,97],[2,3,35],[2,4,10],[2,5,37],[2,6,25],[3,4,39],[3,5,2],[3,6,65],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (2,4)=10 Succeeded, w=12\",\"Add (2,6)=25 Succeeded, w=37\",\"Add (0,3)=34 Succeeded, w=71\",\"Add (2,3)=35 Succeeded, w=106\",\"Add (2,5)=37 Failed, w=106\",\"Add (3,4)=39 Failed, w=106\",\"Add (0,2)=42 Failed, w=106\",\"Add (0,1)=49 Succeeded, w=155\",\"Add (0,6)=51 Failed, w=155\",\"Add (1,2)=52 Failed, w=155\",\"Add (0,5)=64 Failed, w=155\",\"Add (3,6)=65 Failed, w=155\",\"Add (4,6)=81 Failed, w=155\",\"Add (4,5)=92 Failed, w=155\",\"Add (1,6)=97 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\":[[0,1,49],[0,2,42],[0,3,34],[0,5,64],[0,6,51],[1,2,52],[1,6,97],[2,3,35],[2,4,10],[2,5,37],[2,6,25],[3,4,39],[3,5,2],[3,6,65],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(2,4)=10,(2,6)=25,(0,3)=34,(2,3)=35,(2,5)=37,(3,4)=39,(0,2)=42,(0,1)=49,(0,6)=51,(1,2)=52,(0,5)=64,(3,6)=65,(4,6)=81,(4,5)=92,(1,6)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=12\",\"Find(2)=2, Find(6)=6, Add (2,6)=25 Succeeded, w=37\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=71\",\"Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=106\",\"Find(2)=2, Find(5)=2, Add (2,5)=37 Failed, w=106\",\"Find(3)=2, Find(4)=2, Add (3,4)=39 Failed, w=106\",\"Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=106\",\"Find(0)=2, Find(1)=1, Add (0,1)=49 Succeeded, w=155\",\"Find(0)=2, Find(6)=2, Add (0,6)=51 Failed, w=155\",\"Find(1)=2, Find(2)=2, Add (1,2)=52 Failed, w=155\",\"Find(0)=2, Find(5)=2, Add (0,5)=64 Failed, w=155\",\"Find(3)=2, Find(6)=2, Add (3,6)=65 Failed, w=155\",\"Find(4)=2, Find(6)=2, Add (4,6)=81 Failed, w=155\",\"Find(4)=2, Find(5)=2, Add (4,5)=92 Failed, w=155\",\"Find(1)=2, Find(6)=2, Add (1,6)=97 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\":[[0,1,49],[0,2,42],[0,3,34],[0,5,64],[0,6,51],[1,2,52],[1,6,97],[2,3,35],[2,4,10],[2,5,37],[2,6,25],[3,4,39],[3,5,2],[3,6,65],[4,5,92],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(2,4)=10,(2,6)=25,(0,3)=34,(2,3)=35,(2,5)=37,(3,4)=39,(0,2)=42,(0,1)=49,(0,6)=51,(1,2)=52,(0,5)=64,(3,6)=65,(4,6)=81,(4,5)=92,(1,6)=97]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=25 Succeeded, w=37\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=71\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=106\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=37 Failed, w=106\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=39 Failed, w=106\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=1, Add (0,1)=49 Succeeded, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=51 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=52 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=64 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=65 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=81 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=92 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=97 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,27],[0,3,53],[0,4,94],[0,6,87],[1,2,28],[1,3,88],[1,4,86],[1,5,89],[2,3,2],[2,4,84],[2,5,36],[2,7,57],[3,5,39],[3,6,89],[4,5,26],[4,6,48],[4,7,76],[5,7,62],[6,7,77]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,53],[0,4,94],[0,6,87],[1,2,28],[1,3,88],[1,4,86],[1,5,89],[2,3,2],[2,4,84],[2,5,36],[2,7,57],[3,5,39],[3,6,89],[4,5,26],[4,6,48],[4,7,76],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,53],[0,4,94],[0,6,87],[1,2,28],[1,3,88],[1,4,86],[1,5,89],[2,3,2],[2,4,84],[2,5,36],[2,7,57],[3,5,39],[3,6,89],[4,5,26],[4,6,48],[4,7,76],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (2,7)\"],\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,53],[0,4,94],[0,6,87],[1,2,28],[1,3,88],[1,4,86],[1,5,89],[2,3,2],[2,4,84],[2,5,36],[2,7,57],[3,5,39],[3,6,89],[4,5,26],[4,6,48],[4,7,76],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (4,5)=26, w=28\",\"Add (0,2)=27, w=55\",\"Add (1,2)=28, w=83\",\"Add (2,5)=36, w=119\",\"Add (4,6)=48, w=167\",\"Add (2,7)=57, w=224\"],\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,53],[0,4,94],[0,6,87],[1,2,28],[1,3,88],[1,4,86],[1,5,89],[2,3,2],[2,4,84],[2,5,36],[2,7,57],[3,5,39],[3,6,89],[4,5,26],[4,6,48],[4,7,76],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (4,5)=26 Succeeded, w=28\",\"Add (0,2)=27 Succeeded, w=55\",\"Add (1,2)=28 Succeeded, w=83\",\"Add (2,5)=36 Succeeded, w=119\",\"Add (3,5)=39 Failed, w=119\",\"Add (4,6)=48 Succeeded, w=167\",\"Add (0,3)=53 Failed, w=167\",\"Add (2,7)=57 Succeeded, w=224\",\"Add (5,7)=62 Failed, w=224\",\"Add (4,7)=76 Failed, w=224\",\"Add (6,7)=77 Failed, w=224\",\"Add (2,4)=84 Failed, w=224\",\"Add (1,4)=86 Failed, w=224\",\"Add (0,6)=87 Failed, w=224\",\"Add (1,3)=88 Failed, w=224\",\"Add (1,5)=89 Failed, w=224\",\"Add (3,6)=89 Failed, w=224\",\"Add (0,4)=94 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,53],[0,4,94],[0,6,87],[1,2,28],[1,3,88],[1,4,86],[1,5,89],[2,3,2],[2,4,84],[2,5,36],[2,7,57],[3,5,39],[3,6,89],[4,5,26],[4,6,48],[4,7,76],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(4,5)=26,(0,2)=27,(1,2)=28,(2,5)=36,(3,5)=39,(4,6)=48,(0,3)=53,(2,7)=57,(5,7)=62,(4,7)=76,(6,7)=77,(2,4)=84,(1,4)=86,(0,6)=87,(1,3)=88,(1,5)=89,(3,6)=89,(0,4)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=5, Add (4,5)=26 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=55\",\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=83\",\"Find(2)=2, Find(5)=4, Add (2,5)=36 Succeeded, w=119\",\"Find(3)=2, Find(5)=2, Add (3,5)=39 Failed, w=119\",\"Find(4)=2, Find(6)=6, Add (4,6)=48 Succeeded, w=167\",\"Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=167\",\"Find(2)=2, Find(7)=7, Add (2,7)=57 Succeeded, w=224\",\"Find(5)=2, Find(7)=2, Add (5,7)=62 Failed, w=224\",\"Find(4)=2, Find(7)=2, Add (4,7)=76 Failed, w=224\",\"Find(6)=2, Find(7)=2, Add (6,7)=77 Failed, w=224\",\"Find(2)=2, Find(4)=2, Add (2,4)=84 Failed, w=224\",\"Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=224\",\"Find(0)=2, Find(6)=2, Add (0,6)=87 Failed, w=224\",\"Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=224\",\"Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=224\",\"Find(3)=2, Find(6)=2, Add (3,6)=89 Failed, w=224\",\"Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,53],[0,4,94],[0,6,87],[1,2,28],[1,3,88],[1,4,86],[1,5,89],[2,3,2],[2,4,84],[2,5,36],[2,7,57],[3,5,39],[3,6,89],[4,5,26],[4,6,48],[4,7,76],[5,7,62],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(4,5)=26,(0,2)=27,(1,2)=28,(2,5)=36,(3,5)=39,(4,6)=48,(0,3)=53,(2,7)=57,(5,7)=62,(4,7)=76,(6,7)=77,(2,4)=84,(1,4)=86,(0,6)=87,(1,3)=88,(1,5)=89,(3,6)=89,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=26 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 7}, Find(2)=2, Find(5)=4, Add (2,5)=36 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=2, Add (3,5)=39 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=2, Find(6)=6, Add (4,6)=48 Succeeded, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=57 Succeeded, w=224\",\"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)=62 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=76 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=77 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=84 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=224\",\"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)=87 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=224\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=224\",\"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)=89 Failed, w=224\",\"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)=94 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,40]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\"],\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=40, w=40\"],\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=40 Succeeded, w=40\"],\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=40]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=40\"],\"Answer\":40}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=40]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=40\"],\"Answer\":40}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,37],[0,3,69],[0,4,63],[0,5,51],[0,6,60],[0,7,20],[1,2,88],[1,3,63],[1,4,98],[1,5,74],[1,6,94],[1,7,65],[2,3,14],[2,4,22],[2,5,33],[2,6,100],[2,7,95],[3,4,85],[3,5,45],[3,6,57],[3,7,32],[4,5,21],[4,6,77],[4,7,1],[5,6,94],[5,7,78],[6,7,4]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,3,69],[0,4,63],[0,5,51],[0,6,60],[0,7,20],[1,2,88],[1,3,63],[1,4,98],[1,5,74],[1,6,94],[1,7,65],[2,3,14],[2,4,22],[2,5,33],[2,6,100],[2,7,95],[3,4,85],[3,5,45],[3,6,57],[3,7,32],[4,5,21],[4,6,77],[4,7,1],[5,6,94],[5,7,78],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,3,69],[0,4,63],[0,5,51],[0,6,60],[0,7,20],[1,2,88],[1,3,63],[1,4,98],[1,5,74],[1,6,94],[1,7,65],[2,3,14],[2,4,22],[2,5,33],[2,6,100],[2,7,95],[3,4,85],[3,5,45],[3,6,57],[3,7,32],[4,5,21],[4,6,77],[4,7,1],[5,6,94],[5,7,78],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (6,7)\",\"Add (2,3)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,3,69],[0,4,63],[0,5,51],[0,6,60],[0,7,20],[1,2,88],[1,3,63],[1,4,98],[1,5,74],[1,6,94],[1,7,65],[2,3,14],[2,4,22],[2,5,33],[2,6,100],[2,7,95],[3,4,85],[3,5,45],[3,6,57],[3,7,32],[4,5,21],[4,6,77],[4,7,1],[5,6,94],[5,7,78],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=1, w=1\",\"Add (6,7)=4, w=5\",\"Add (2,3)=14, w=19\",\"Add (0,7)=20, w=39\",\"Add (4,5)=21, w=60\",\"Add (2,4)=22, w=82\",\"Add (0,1)=37, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,3,69],[0,4,63],[0,5,51],[0,6,60],[0,7,20],[1,2,88],[1,3,63],[1,4,98],[1,5,74],[1,6,94],[1,7,65],[2,3,14],[2,4,22],[2,5,33],[2,6,100],[2,7,95],[3,4,85],[3,5,45],[3,6,57],[3,7,32],[4,5,21],[4,6,77],[4,7,1],[5,6,94],[5,7,78],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=1 Succeeded, w=1\",\"Add (6,7)=4 Succeeded, w=5\",\"Add (2,3)=14 Succeeded, w=19\",\"Add (0,7)=20 Succeeded, w=39\",\"Add (4,5)=21 Succeeded, w=60\",\"Add (2,4)=22 Succeeded, w=82\",\"Add (3,7)=32 Failed, w=82\",\"Add (2,5)=33 Failed, w=82\",\"Add (0,1)=37 Succeeded, w=119\",\"Add (3,5)=45 Failed, w=119\",\"Add (0,5)=51 Failed, w=119\",\"Add (3,6)=57 Failed, w=119\",\"Add (0,6)=60 Failed, w=119\",\"Add (0,4)=63 Failed, w=119\",\"Add (1,3)=63 Failed, w=119\",\"Add (1,7)=65 Failed, w=119\",\"Add (0,3)=69 Failed, w=119\",\"Add (1,5)=74 Failed, w=119\",\"Add (4,6)=77 Failed, w=119\",\"Add (5,7)=78 Failed, w=119\",\"Add (3,4)=85 Failed, w=119\",\"Add (1,2)=88 Failed, w=119\",\"Add (1,6)=94 Failed, w=119\",\"Add (5,6)=94 Failed, w=119\",\"Add (2,7)=95 Failed, w=119\",\"Add (1,4)=98 Failed, w=119\",\"Add (2,6)=100 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,3,69],[0,4,63],[0,5,51],[0,6,60],[0,7,20],[1,2,88],[1,3,63],[1,4,98],[1,5,74],[1,6,94],[1,7,65],[2,3,14],[2,4,22],[2,5,33],[2,6,100],[2,7,95],[3,4,85],[3,5,45],[3,6,57],[3,7,32],[4,5,21],[4,6,77],[4,7,1],[5,6,94],[5,7,78],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=1,(6,7)=4,(2,3)=14,(0,7)=20,(4,5)=21,(2,4)=22,(3,7)=32,(2,5)=33,(0,1)=37,(3,5)=45,(0,5)=51,(3,6)=57,(0,6)=60,(0,4)=63,(1,3)=63,(1,7)=65,(0,3)=69,(1,5)=74,(4,6)=77,(5,7)=78,(3,4)=85,(1,2)=88,(1,6)=94,(5,6)=94,(2,7)=95,(1,4)=98,(2,6)=100]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Find(6)=6, Find(7)=4, Add (6,7)=4 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=19\",\"Find(0)=0, Find(7)=4, Add (0,7)=20 Succeeded, w=39\",\"Find(4)=4, Find(5)=5, Add (4,5)=21 Succeeded, w=60\",\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=82\",\"Find(3)=2, Find(7)=2, Add (3,7)=32 Failed, w=82\",\"Find(2)=2, Find(5)=2, Add (2,5)=33 Failed, w=82\",\"Find(0)=2, Find(1)=1, Add (0,1)=37 Succeeded, w=119\",\"Find(3)=2, Find(5)=2, Add (3,5)=45 Failed, w=119\",\"Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=119\",\"Find(3)=2, Find(6)=2, Add (3,6)=57 Failed, w=119\",\"Find(0)=2, Find(6)=2, Add (0,6)=60 Failed, w=119\",\"Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=119\",\"Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=119\",\"Find(1)=2, Find(7)=2, Add (1,7)=65 Failed, w=119\",\"Find(0)=2, Find(3)=2, Add (0,3)=69 Failed, w=119\",\"Find(1)=2, Find(5)=2, Add (1,5)=74 Failed, w=119\",\"Find(4)=2, Find(6)=2, Add (4,6)=77 Failed, w=119\",\"Find(5)=2, Find(7)=2, Add (5,7)=78 Failed, w=119\",\"Find(3)=2, Find(4)=2, Add (3,4)=85 Failed, w=119\",\"Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=119\",\"Find(1)=2, Find(6)=2, Add (1,6)=94 Failed, w=119\",\"Find(5)=2, Find(6)=2, Add (5,6)=94 Failed, w=119\",\"Find(2)=2, Find(7)=2, Add (2,7)=95 Failed, w=119\",\"Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=119\",\"Find(2)=2, Find(6)=2, Add (2,6)=100 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,3,69],[0,4,63],[0,5,51],[0,6,60],[0,7,20],[1,2,88],[1,3,63],[1,4,98],[1,5,74],[1,6,94],[1,7,65],[2,3,14],[2,4,22],[2,5,33],[2,6,100],[2,7,95],[3,4,85],[3,5,45],[3,6,57],[3,7,32],[4,5,21],[4,6,77],[4,7,1],[5,6,94],[5,7,78],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=1,(6,7)=4,(2,3)=14,(0,7)=20,(4,5)=21,(2,4)=22,(3,7)=32,(2,5)=33,(0,1)=37,(3,5)=45,(0,5)=51,(3,6)=57,(0,6)=60,(0,4)=63,(1,3)=63,(1,7)=65,(0,3)=69,(1,5)=74,(4,6)=77,(5,7)=78,(3,4)=85,(1,2)=88,(1,6)=94,(5,6)=94,(2,7)=95,(1,4)=98,(2,6)=100]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(6)=6, Find(7)=4, Add (6,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4, 7: 4}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=19\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=20 Succeeded, w=39\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=5, Add (4,5)=21 Succeeded, w=60\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 4, 7: 4}, Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=82\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 4, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=32 Failed, w=82\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=33 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(1)=1, Add (0,1)=37 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=45 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=119\",\"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)=57 Failed, w=119\",\"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)=60 Failed, w=119\",\"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)=63 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=65 Failed, w=119\",\"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)=69 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=74 Failed, w=119\",\"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)=77 Failed, w=119\",\"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)=78 Failed, w=119\",\"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)=85 Failed, w=119\",\"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)=88 Failed, w=119\",\"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)=94 Failed, w=119\",\"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)=94 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=95 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=119\",\"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)=100 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,36],[0,4,88],[0,5,58],[1,2,88],[1,6,7],[2,3,83],[2,4,12],[2,5,54],[3,5,95],[4,5,65],[4,6,3],[5,6,100]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,88],[0,5,58],[1,2,88],[1,6,7],[2,3,83],[2,4,12],[2,5,54],[3,5,95],[4,5,65],[4,6,3],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,88],[0,5,58],[1,2,88],[1,6,7],[2,3,83],[2,4,12],[2,5,54],[3,5,95],[4,5,65],[4,6,3],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (2,3)\"],\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,88],[0,5,58],[1,2,88],[1,6,7],[2,3,83],[2,4,12],[2,5,54],[3,5,95],[4,5,65],[4,6,3],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (1,6)=7, w=10\",\"Add (2,4)=12, w=22\",\"Add (0,2)=36, w=58\",\"Add (2,5)=54, w=112\",\"Add (2,3)=83, w=195\"],\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,88],[0,5,58],[1,2,88],[1,6,7],[2,3,83],[2,4,12],[2,5,54],[3,5,95],[4,5,65],[4,6,3],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (1,6)=7 Succeeded, w=10\",\"Add (2,4)=12 Succeeded, w=22\",\"Add (0,2)=36 Succeeded, w=58\",\"Add (2,5)=54 Succeeded, w=112\",\"Add (0,5)=58 Failed, w=112\",\"Add (4,5)=65 Failed, w=112\",\"Add (2,3)=83 Succeeded, w=195\",\"Add (0,4)=88 Failed, w=195\",\"Add (1,2)=88 Failed, w=195\",\"Add (3,5)=95 Failed, w=195\",\"Add (5,6)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,88],[0,5,58],[1,2,88],[1,6,7],[2,3,83],[2,4,12],[2,5,54],[3,5,95],[4,5,65],[4,6,3],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(1,6)=7,(2,4)=12,(0,2)=36,(2,5)=54,(0,5)=58,(4,5)=65,(2,3)=83,(0,4)=88,(1,2)=88,(3,5)=95,(5,6)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(6)=4, Add (1,6)=7 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=22\",\"Find(0)=0, Find(2)=4, Add (0,2)=36 Succeeded, w=58\",\"Find(2)=4, Find(5)=5, Add (2,5)=54 Succeeded, w=112\",\"Find(0)=4, Find(5)=4, Add (0,5)=58 Failed, w=112\",\"Find(4)=4, Find(5)=4, Add (4,5)=65 Failed, w=112\",\"Find(2)=4, Find(3)=3, Add (2,3)=83 Succeeded, w=195\",\"Find(0)=4, Find(4)=4, Add (0,4)=88 Failed, w=195\",\"Find(1)=4, Find(2)=4, Add (1,2)=88 Failed, w=195\",\"Find(3)=4, Find(5)=4, Add (3,5)=95 Failed, w=195\",\"Find(5)=4, Find(6)=4, Add (5,6)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,4,88],[0,5,58],[1,2,88],[1,6,7],[2,3,83],[2,4,12],[2,5,54],[3,5,95],[4,5,65],[4,6,3],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(1,6)=7,(2,4)=12,(0,2)=36,(2,5)=54,(0,5)=58,(4,5)=65,(2,3)=83,(0,4)=88,(1,2)=88,(3,5)=95,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=22\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(2)=4, Add (0,2)=36 Succeeded, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=5, Add (2,5)=54 Succeeded, w=112\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=58 Failed, w=112\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=4, Add (4,5)=65 Failed, w=112\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=3, Add (2,3)=83 Succeeded, w=195\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=88 Failed, w=195\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=88 Failed, w=195\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=95 Failed, w=195\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,83],[0,2,54],[0,3,100],[0,5,41],[0,6,29],[1,3,39],[1,5,14],[2,3,34],[2,6,25],[3,4,37],[3,5,12],[3,6,10],[4,5,78],[4,6,46],[5,6,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,54],[0,3,100],[0,5,41],[0,6,29],[1,3,39],[1,5,14],[2,3,34],[2,6,25],[3,4,37],[3,5,12],[3,6,10],[4,5,78],[4,6,46],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,54],[0,3,100],[0,5,41],[0,6,29],[1,3,39],[1,5,14],[2,3,34],[2,6,25],[3,4,37],[3,5,12],[3,6,10],[4,5,78],[4,6,46],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (3,4)\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,54],[0,3,100],[0,5,41],[0,6,29],[1,3,39],[1,5,14],[2,3,34],[2,6,25],[3,4,37],[3,5,12],[3,6,10],[4,5,78],[4,6,46],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=10, w=10\",\"Add (3,5)=12, w=22\",\"Add (1,5)=14, w=36\",\"Add (2,6)=25, w=61\",\"Add (0,6)=29, w=90\",\"Add (3,4)=37, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,54],[0,3,100],[0,5,41],[0,6,29],[1,3,39],[1,5,14],[2,3,34],[2,6,25],[3,4,37],[3,5,12],[3,6,10],[4,5,78],[4,6,46],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=10 Succeeded, w=10\",\"Add (3,5)=12 Succeeded, w=22\",\"Add (1,5)=14 Succeeded, w=36\",\"Add (2,6)=25 Succeeded, w=61\",\"Add (0,6)=29 Succeeded, w=90\",\"Add (2,3)=34 Failed, w=90\",\"Add (3,4)=37 Succeeded, w=127\",\"Add (1,3)=39 Failed, w=127\",\"Add (0,5)=41 Failed, w=127\",\"Add (4,6)=46 Failed, w=127\",\"Add (0,2)=54 Failed, w=127\",\"Add (4,5)=78 Failed, w=127\",\"Add (5,6)=78 Failed, w=127\",\"Add (0,1)=83 Failed, w=127\",\"Add (0,3)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,54],[0,3,100],[0,5,41],[0,6,29],[1,3,39],[1,5,14],[2,3,34],[2,6,25],[3,4,37],[3,5,12],[3,6,10],[4,5,78],[4,6,46],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=10,(3,5)=12,(1,5)=14,(2,6)=25,(0,6)=29,(2,3)=34,(3,4)=37,(1,3)=39,(0,5)=41,(4,6)=46,(0,2)=54,(4,5)=78,(5,6)=78,(0,1)=83,(0,3)=100]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=10 Succeeded, w=10\",\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=22\",\"Find(1)=1, Find(5)=3, Add (1,5)=14 Succeeded, w=36\",\"Find(2)=2, Find(6)=3, Add (2,6)=25 Succeeded, w=61\",\"Find(0)=0, Find(6)=3, Add (0,6)=29 Succeeded, w=90\",\"Find(2)=3, Find(3)=3, Add (2,3)=34 Failed, w=90\",\"Find(3)=3, Find(4)=4, Add (3,4)=37 Succeeded, w=127\",\"Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=127\",\"Find(0)=3, Find(5)=3, Add (0,5)=41 Failed, w=127\",\"Find(4)=3, Find(6)=3, Add (4,6)=46 Failed, w=127\",\"Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=127\",\"Find(4)=3, Find(5)=3, Add (4,5)=78 Failed, w=127\",\"Find(5)=3, Find(6)=3, Add (5,6)=78 Failed, w=127\",\"Find(0)=3, Find(1)=3, Add (0,1)=83 Failed, w=127\",\"Find(0)=3, Find(3)=3, Add (0,3)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,54],[0,3,100],[0,5,41],[0,6,29],[1,3,39],[1,5,14],[2,3,34],[2,6,25],[3,4,37],[3,5,12],[3,6,10],[4,5,78],[4,6,46],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=10,(3,5)=12,(1,5)=14,(2,6)=25,(0,6)=29,(2,3)=34,(3,4)=37,(1,3)=39,(0,5)=41,(4,6)=46,(0,2)=54,(4,5)=78,(5,6)=78,(0,1)=83,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(1)=1, Find(5)=3, Add (1,5)=14 Succeeded, w=36\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=25 Succeeded, w=61\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=29 Succeeded, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=34 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=37 Succeeded, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=41 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=46 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=78 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=78 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=83 Failed, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,3,77],[2,3,6]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,77],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,77],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,77],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (0,1)=36, w=42\",\"Add (0,3)=77, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,77],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (0,1)=36 Succeeded, w=42\",\"Add (0,3)=77 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,77],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(0,1)=36,(0,3)=77]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=42\",\"Find(0)=0, Find(3)=2, Add (0,3)=77 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,3,77],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(0,1)=36,(0,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=77 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,47],[0,2,55],[0,3,87],[0,4,34],[0,5,51],[0,6,77],[0,7,62],[1,2,92],[1,3,81],[1,5,98],[1,6,40],[1,7,68],[2,3,90],[2,4,10],[2,5,87],[2,6,12],[2,7,32],[3,4,34],[3,5,20],[3,6,52],[3,7,22],[4,5,71],[4,6,91],[4,7,36],[5,6,64],[5,7,98],[6,7,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,55],[0,3,87],[0,4,34],[0,5,51],[0,6,77],[0,7,62],[1,2,92],[1,3,81],[1,5,98],[1,6,40],[1,7,68],[2,3,90],[2,4,10],[2,5,87],[2,6,12],[2,7,32],[3,4,34],[3,5,20],[3,6,52],[3,7,22],[4,5,71],[4,6,91],[4,7,36],[5,6,64],[5,7,98],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,55],[0,3,87],[0,4,34],[0,5,51],[0,6,77],[0,7,62],[1,2,92],[1,3,81],[1,5,98],[1,6,40],[1,7,68],[2,3,90],[2,4,10],[2,5,87],[2,6,12],[2,7,32],[3,4,34],[3,5,20],[3,6,52],[3,7,22],[4,5,71],[4,6,91],[4,7,36],[5,6,64],[5,7,98],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (1,6)\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,55],[0,3,87],[0,4,34],[0,5,51],[0,6,77],[0,7,62],[1,2,92],[1,3,81],[1,5,98],[1,6,40],[1,7,68],[2,3,90],[2,4,10],[2,5,87],[2,6,12],[2,7,32],[3,4,34],[3,5,20],[3,6,52],[3,7,22],[4,5,71],[4,6,91],[4,7,36],[5,6,64],[5,7,98],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (2,6)=12, w=22\",\"Add (3,5)=20, w=42\",\"Add (3,7)=22, w=64\",\"Add (2,7)=32, w=96\",\"Add (0,4)=34, w=130\",\"Add (1,6)=40, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,55],[0,3,87],[0,4,34],[0,5,51],[0,6,77],[0,7,62],[1,2,92],[1,3,81],[1,5,98],[1,6,40],[1,7,68],[2,3,90],[2,4,10],[2,5,87],[2,6,12],[2,7,32],[3,4,34],[3,5,20],[3,6,52],[3,7,22],[4,5,71],[4,6,91],[4,7,36],[5,6,64],[5,7,98],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (2,6)=12 Succeeded, w=22\",\"Add (3,5)=20 Succeeded, w=42\",\"Add (3,7)=22 Succeeded, w=64\",\"Add (2,7)=32 Succeeded, w=96\",\"Add (0,4)=34 Succeeded, w=130\",\"Add (3,4)=34 Failed, w=130\",\"Add (4,7)=36 Failed, w=130\",\"Add (1,6)=40 Succeeded, w=170\",\"Add (0,1)=47 Failed, w=170\",\"Add (6,7)=48 Failed, w=170\",\"Add (0,5)=51 Failed, w=170\",\"Add (3,6)=52 Failed, w=170\",\"Add (0,2)=55 Failed, w=170\",\"Add (0,7)=62 Failed, w=170\",\"Add (5,6)=64 Failed, w=170\",\"Add (1,7)=68 Failed, w=170\",\"Add (4,5)=71 Failed, w=170\",\"Add (0,6)=77 Failed, w=170\",\"Add (1,3)=81 Failed, w=170\",\"Add (0,3)=87 Failed, w=170\",\"Add (2,5)=87 Failed, w=170\",\"Add (2,3)=90 Failed, w=170\",\"Add (4,6)=91 Failed, w=170\",\"Add (1,2)=92 Failed, w=170\",\"Add (1,5)=98 Failed, w=170\",\"Add (5,7)=98 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,55],[0,3,87],[0,4,34],[0,5,51],[0,6,77],[0,7,62],[1,2,92],[1,3,81],[1,5,98],[1,6,40],[1,7,68],[2,3,90],[2,4,10],[2,5,87],[2,6,12],[2,7,32],[3,4,34],[3,5,20],[3,6,52],[3,7,22],[4,5,71],[4,6,91],[4,7,36],[5,6,64],[5,7,98],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(2,6)=12,(3,5)=20,(3,7)=22,(2,7)=32,(0,4)=34,(3,4)=34,(4,7)=36,(1,6)=40,(0,1)=47,(6,7)=48,(0,5)=51,(3,6)=52,(0,2)=55,(0,7)=62,(5,6)=64,(1,7)=68,(4,5)=71,(0,6)=77,(1,3)=81,(0,3)=87,(2,5)=87,(2,3)=90,(4,6)=91,(1,2)=92,(1,5)=98,(5,7)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=22\",\"Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=42\",\"Find(3)=3, Find(7)=7, Add (3,7)=22 Succeeded, w=64\",\"Find(2)=2, Find(7)=3, Add (2,7)=32 Succeeded, w=96\",\"Find(0)=0, Find(4)=2, Add (0,4)=34 Succeeded, w=130\",\"Find(3)=2, Find(4)=2, Add (3,4)=34 Failed, w=130\",\"Find(4)=2, Find(7)=2, Add (4,7)=36 Failed, w=130\",\"Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=170\",\"Find(0)=2, Find(1)=2, Add (0,1)=47 Failed, w=170\",\"Find(6)=2, Find(7)=2, Add (6,7)=48 Failed, w=170\",\"Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=170\",\"Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=170\",\"Find(0)=2, Find(2)=2, Add (0,2)=55 Failed, w=170\",\"Find(0)=2, Find(7)=2, Add (0,7)=62 Failed, w=170\",\"Find(5)=2, Find(6)=2, Add (5,6)=64 Failed, w=170\",\"Find(1)=2, Find(7)=2, Add (1,7)=68 Failed, w=170\",\"Find(4)=2, Find(5)=2, Add (4,5)=71 Failed, w=170\",\"Find(0)=2, Find(6)=2, Add (0,6)=77 Failed, w=170\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=170\",\"Find(0)=2, Find(3)=2, Add (0,3)=87 Failed, w=170\",\"Find(2)=2, Find(5)=2, Add (2,5)=87 Failed, w=170\",\"Find(2)=2, Find(3)=2, Add (2,3)=90 Failed, w=170\",\"Find(4)=2, Find(6)=2, Add (4,6)=91 Failed, w=170\",\"Find(1)=2, Find(2)=2, Add (1,2)=92 Failed, w=170\",\"Find(1)=2, Find(5)=2, Add (1,5)=98 Failed, w=170\",\"Find(5)=2, Find(7)=2, Add (5,7)=98 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,55],[0,3,87],[0,4,34],[0,5,51],[0,6,77],[0,7,62],[1,2,92],[1,3,81],[1,5,98],[1,6,40],[1,7,68],[2,3,90],[2,4,10],[2,5,87],[2,6,12],[2,7,32],[3,4,34],[3,5,20],[3,6,52],[3,7,22],[4,5,71],[4,6,91],[4,7,36],[5,6,64],[5,7,98],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(2,6)=12,(3,5)=20,(3,7)=22,(2,7)=32,(0,4)=34,(3,4)=34,(4,7)=36,(1,6)=40,(0,1)=47,(6,7)=48,(0,5)=51,(3,6)=52,(0,2)=55,(0,7)=62,(5,6)=64,(1,7)=68,(4,5)=71,(0,6)=77,(1,3)=81,(0,3)=87,(2,5)=87,(2,3)=90,(4,6)=91,(1,2)=92,(1,5)=98,(5,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=22 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=32 Succeeded, w=96\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 3}, Find(0)=0, Find(4)=2, Add (0,4)=34 Succeeded, w=130\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 3}, Find(3)=2, Find(4)=2, Add (3,4)=34 Failed, w=130\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=36 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 2}, Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=47 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=48 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=55 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=62 Failed, w=170\",\"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)=64 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=68 Failed, w=170\",\"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)=71 Failed, w=170\",\"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=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=170\",\"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)=87 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=87 Failed, w=170\",\"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)=90 Failed, w=170\",\"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)=91 Failed, w=170\",\"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)=92 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=98 Failed, w=170\",\"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)=98 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,21],[0,2,79],[0,3,55],[1,2,16],[1,3,90],[2,3,30]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,79],[0,3,55],[1,2,16],[1,3,90],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,79],[0,3,55],[1,2,16],[1,3,90],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,79],[0,3,55],[1,2,16],[1,3,90],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16, w=16\",\"Add (0,1)=21, w=37\",\"Add (2,3)=30, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,79],[0,3,55],[1,2,16],[1,3,90],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16 Succeeded, w=16\",\"Add (0,1)=21 Succeeded, w=37\",\"Add (2,3)=30 Succeeded, w=67\",\"Add (0,3)=55 Failed, w=67\",\"Add (0,2)=79 Failed, w=67\",\"Add (1,3)=90 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,79],[0,3,55],[1,2,16],[1,3,90],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(0,1)=21,(2,3)=30,(0,3)=55,(0,2)=79,(1,3)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=37\",\"Find(2)=1, Find(3)=3, Add (2,3)=30 Succeeded, w=67\",\"Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=67\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=67\",\"Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,79],[0,3,55],[1,2,16],[1,3,90],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(0,1)=21,(2,3)=30,(0,3)=55,(0,2)=79,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=30 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,32],[1,3,41],[2,3,8],[2,4,92]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,32],[1,3,41],[2,3,8],[2,4,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,32],[1,3,41],[2,3,8],[2,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,32],[1,3,41],[2,3,8],[2,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,3)=32, w=40\",\"Add (1,3)=41, w=81\",\"Add (2,4)=92, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,32],[1,3,41],[2,3,8],[2,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,3)=32 Succeeded, w=40\",\"Add (1,3)=41 Succeeded, w=81\",\"Add (2,4)=92 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,32],[1,3,41],[2,3,8],[2,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,3)=32,(1,3)=41,(2,4)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=2, Add (0,3)=32 Succeeded, w=40\",\"Find(1)=1, Find(3)=2, Add (1,3)=41 Succeeded, w=81\",\"Find(2)=2, Find(4)=4, Add (2,4)=92 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,32],[1,3,41],[2,3,8],[2,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,3)=32,(1,3)=41,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=32 Succeeded, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=41 Succeeded, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=92 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,53],[0,3,5],[0,4,68],[1,2,21],[1,4,0],[3,4,73]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,53],[0,3,5],[0,4,68],[1,2,21],[1,4,0],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,53],[0,3,5],[0,4,68],[1,2,21],[1,4,0],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,53],[0,3,5],[0,4,68],[1,2,21],[1,4,0],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,3)=5, w=5\",\"Add (1,2)=21, w=26\",\"Add (0,2)=53, w=79\"],\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,53],[0,3,5],[0,4,68],[1,2,21],[1,4,0],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,2)=21 Succeeded, w=26\",\"Add (0,2)=53 Succeeded, w=79\",\"Add (0,4)=68 Failed, w=79\",\"Add (3,4)=73 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,53],[0,3,5],[0,4,68],[1,2,21],[1,4,0],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,3)=5,(1,2)=21,(0,2)=53,(0,4)=68,(3,4)=73]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=26\",\"Find(0)=0, Find(2)=1, Add (0,2)=53 Succeeded, w=79\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,53],[0,3,5],[0,4,68],[1,2,21],[1,4,0],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,3)=5,(1,2)=21,(0,2)=53,(0,4)=68,(3,4)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=53 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,4,72],[0,5,77],[1,2,73],[1,3,6],[1,4,1],[1,5,64],[2,4,63],[3,4,12],[4,5,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,72],[0,5,77],[1,2,73],[1,3,6],[1,4,1],[1,5,64],[2,4,63],[3,4,12],[4,5,38]]}",
"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],\"edges\":[[0,1,65],[0,4,72],[0,5,77],[1,2,73],[1,3,6],[1,4,1],[1,5,64],[2,4,63],[3,4,12],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,72],[0,5,77],[1,2,73],[1,3,6],[1,4,1],[1,5,64],[2,4,63],[3,4,12],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (1,3)=6, w=7\",\"Add (4,5)=38, w=45\",\"Add (2,4)=63, w=108\",\"Add (0,1)=65, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,4,72],[0,5,77],[1,2,73],[1,3,6],[1,4,1],[1,5,64],[2,4,63],[3,4,12],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (1,3)=6 Succeeded, w=7\",\"Add (3,4)=12 Failed, w=7\",\"Add (4,5)=38 Succeeded, w=45\",\"Add (2,4)=63 Succeeded, w=108\",\"Add (1,5)=64 Failed, w=108\",\"Add (0,1)=65 Succeeded, w=173\",\"Add (0,4)=72 Failed, w=173\",\"Add (1,2)=73 Failed, w=173\",\"Add (0,5)=77 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],\"edges\":[[0,1,65],[0,4,72],[0,5,77],[1,2,73],[1,3,6],[1,4,1],[1,5,64],[2,4,63],[3,4,12],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(1,3)=6,(3,4)=12,(4,5)=38,(2,4)=63,(1,5)=64,(0,1)=65,(0,4)=72,(1,2)=73,(0,5)=77]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=7\",\"Find(3)=1, Find(4)=1, Add (3,4)=12 Failed, w=7\",\"Find(4)=1, Find(5)=5, Add (4,5)=38 Succeeded, w=45\",\"Find(2)=2, Find(4)=1, Add (2,4)=63 Succeeded, w=108\",\"Find(1)=1, Find(5)=1, Add (1,5)=64 Failed, w=108\",\"Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=173\",\"Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=173\",\"Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=173\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 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],\"edges\":[[0,1,65],[0,4,72],[0,5,77],[1,2,73],[1,3,6],[1,4,1],[1,5,64],[2,4,63],[3,4,12],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(1,3)=6,(3,4)=12,(4,5)=38,(2,4)=63,(1,5)=64,(0,1)=65,(0,4)=72,(1,2)=73,(0,5)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=1, Add (3,4)=12 Failed, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=38 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=63 Succeeded, w=108\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=64 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,98],[0,2,51],[0,3,14],[0,5,79],[0,6,39],[1,3,12],[1,4,78],[1,6,53],[2,3,14],[2,6,29],[3,4,1],[3,5,17],[4,5,24],[4,6,8],[5,6,24]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,51],[0,3,14],[0,5,79],[0,6,39],[1,3,12],[1,4,78],[1,6,53],[2,3,14],[2,6,29],[3,4,1],[3,5,17],[4,5,24],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,51],[0,3,14],[0,5,79],[0,6,39],[1,3,12],[1,4,78],[1,6,53],[2,3,14],[2,6,29],[3,4,1],[3,5,17],[4,5,24],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,6)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (3,5)\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,51],[0,3,14],[0,5,79],[0,6,39],[1,3,12],[1,4,78],[1,6,53],[2,3,14],[2,6,29],[3,4,1],[3,5,17],[4,5,24],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (4,6)=8, w=9\",\"Add (1,3)=12, w=21\",\"Add (0,3)=14, w=35\",\"Add (2,3)=14, w=49\",\"Add (3,5)=17, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,51],[0,3,14],[0,5,79],[0,6,39],[1,3,12],[1,4,78],[1,6,53],[2,3,14],[2,6,29],[3,4,1],[3,5,17],[4,5,24],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (4,6)=8 Succeeded, w=9\",\"Add (1,3)=12 Succeeded, w=21\",\"Add (0,3)=14 Succeeded, w=35\",\"Add (2,3)=14 Succeeded, w=49\",\"Add (3,5)=17 Succeeded, w=66\",\"Add (4,5)=24 Failed, w=66\",\"Add (5,6)=24 Failed, w=66\",\"Add (2,6)=29 Failed, w=66\",\"Add (0,6)=39 Failed, w=66\",\"Add (0,2)=51 Failed, w=66\",\"Add (1,6)=53 Failed, w=66\",\"Add (1,4)=78 Failed, w=66\",\"Add (0,5)=79 Failed, w=66\",\"Add (0,1)=98 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,51],[0,3,14],[0,5,79],[0,6,39],[1,3,12],[1,4,78],[1,6,53],[2,3,14],[2,6,29],[3,4,1],[3,5,17],[4,5,24],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(4,6)=8,(1,3)=12,(0,3)=14,(2,3)=14,(3,5)=17,(4,5)=24,(5,6)=24,(2,6)=29,(0,6)=39,(0,2)=51,(1,6)=53,(1,4)=78,(0,5)=79,(0,1)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(4)=3, Find(6)=6, Add (4,6)=8 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=35\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=49\",\"Find(3)=3, Find(5)=5, Add (3,5)=17 Succeeded, w=66\",\"Find(4)=3, Find(5)=3, Add (4,5)=24 Failed, w=66\",\"Find(5)=3, Find(6)=3, Add (5,6)=24 Failed, w=66\",\"Find(2)=3, Find(6)=3, Add (2,6)=29 Failed, w=66\",\"Find(0)=3, Find(6)=3, Add (0,6)=39 Failed, w=66\",\"Find(0)=3, Find(2)=3, Add (0,2)=51 Failed, w=66\",\"Find(1)=3, Find(6)=3, Add (1,6)=53 Failed, w=66\",\"Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=66\",\"Find(0)=3, Find(5)=3, Add (0,5)=79 Failed, w=66\",\"Find(0)=3, Find(1)=3, Add (0,1)=98 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,51],[0,3,14],[0,5,79],[0,6,39],[1,3,12],[1,4,78],[1,6,53],[2,3,14],[2,6,29],[3,4,1],[3,5,17],[4,5,24],[4,6,8],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(4,6)=8,(1,3)=12,(0,3)=14,(2,3)=14,(3,5)=17,(4,5)=24,(5,6)=24,(2,6)=29,(0,6)=39,(0,2)=51,(1,6)=53,(1,4)=78,(0,5)=79,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=21\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=35\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=49\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=17 Succeeded, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=24 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=24 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=29 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=39 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=51 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=53 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=78 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=79 Failed, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=98 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,65],[0,6,94],[1,6,72],[1,7,51],[2,4,58],[2,5,83],[3,5,56],[3,7,87],[4,5,79],[5,6,28],[5,7,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,65],[0,6,94],[1,6,72],[1,7,51],[2,4,58],[2,5,83],[3,5,56],[3,7,87],[4,5,79],[5,6,28],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":339}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,65],[0,6,94],[1,6,72],[1,7,51],[2,4,58],[2,5,83],[3,5,56],[3,7,87],[4,5,79],[5,6,28],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (5,6)\",\"Add (1,7)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":339}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,65],[0,6,94],[1,6,72],[1,7,51],[2,4,58],[2,5,83],[3,5,56],[3,7,87],[4,5,79],[5,6,28],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2, w=2\",\"Add (5,6)=28, w=30\",\"Add (1,7)=51, w=81\",\"Add (3,5)=56, w=137\",\"Add (2,4)=58, w=195\",\"Add (0,3)=65, w=260\",\"Add (4,5)=79, w=339\"],\"Answer\":339}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,65],[0,6,94],[1,6,72],[1,7,51],[2,4,58],[2,5,83],[3,5,56],[3,7,87],[4,5,79],[5,6,28],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2 Succeeded, w=2\",\"Add (5,6)=28 Succeeded, w=30\",\"Add (1,7)=51 Succeeded, w=81\",\"Add (3,5)=56 Succeeded, w=137\",\"Add (2,4)=58 Succeeded, w=195\",\"Add (0,3)=65 Succeeded, w=260\",\"Add (1,6)=72 Failed, w=260\",\"Add (4,5)=79 Succeeded, w=339\",\"Add (2,5)=83 Failed, w=339\",\"Add (3,7)=87 Failed, w=339\",\"Add (0,6)=94 Failed, w=339\"],\"Answer\":339}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,65],[0,6,94],[1,6,72],[1,7,51],[2,4,58],[2,5,83],[3,5,56],[3,7,87],[4,5,79],[5,6,28],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(5,6)=28,(1,7)=51,(3,5)=56,(2,4)=58,(0,3)=65,(1,6)=72,(4,5)=79,(2,5)=83,(3,7)=87,(0,6)=94]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=28 Succeeded, w=30\",\"Find(1)=1, Find(7)=5, Add (1,7)=51 Succeeded, w=81\",\"Find(3)=3, Find(5)=5, Add (3,5)=56 Succeeded, w=137\",\"Find(2)=2, Find(4)=4, Add (2,4)=58 Succeeded, w=195\",\"Find(0)=0, Find(3)=5, Add (0,3)=65 Succeeded, w=260\",\"Find(1)=5, Find(6)=5, Add (1,6)=72 Failed, w=260\",\"Find(4)=2, Find(5)=5, Add (4,5)=79 Succeeded, w=339\",\"Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=339\",\"Find(3)=2, Find(7)=2, Add (3,7)=87 Failed, w=339\",\"Find(0)=2, Find(6)=2, Add (0,6)=94 Failed, w=339\"],\"Answer\":339}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,65],[0,6,94],[1,6,72],[1,7,51],[2,4,58],[2,5,83],[3,5,56],[3,7,87],[4,5,79],[5,6,28],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(5,6)=28,(1,7)=51,(3,5)=56,(2,4)=58,(0,3)=65,(1,6)=72,(4,5)=79,(2,5)=83,(3,7)=87,(0,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=6, Add (5,6)=28 Succeeded, w=30\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=51 Succeeded, w=81\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=56 Succeeded, w=137\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(2)=2, Find(4)=4, Add (2,4)=58 Succeeded, w=195\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(3)=5, Add (0,3)=65 Succeeded, w=260\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=72 Failed, w=260\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 2, 5: 2, 6: 5, 7: 5}, Find(4)=2, Find(5)=5, Add (4,5)=79 Succeeded, w=339\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 2, 5: 2, 6: 5, 7: 5}, Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=339\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=87 Failed, w=339\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=94 Failed, w=339\"],\"Answer\":339}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,37],[0,2,93],[0,3,52],[1,2,78],[1,3,69],[2,3,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,93],[0,3,52],[1,2,78],[1,3,69],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,93],[0,3,52],[1,2,78],[1,3,69],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,93],[0,3,52],[1,2,78],[1,3,69],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26, w=26\",\"Add (0,1)=37, w=63\",\"Add (0,3)=52, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,93],[0,3,52],[1,2,78],[1,3,69],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26 Succeeded, w=26\",\"Add (0,1)=37 Succeeded, w=63\",\"Add (0,3)=52 Succeeded, w=115\",\"Add (1,3)=69 Failed, w=115\",\"Add (1,2)=78 Failed, w=115\",\"Add (0,2)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,93],[0,3,52],[1,2,78],[1,3,69],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(0,1)=37,(0,3)=52,(1,3)=69,(1,2)=78,(0,2)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=63\",\"Find(0)=0, Find(3)=2, Add (0,3)=52 Succeeded, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,93],[0,3,52],[1,2,78],[1,3,69],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(0,1)=37,(0,3)=52,(1,3)=69,(1,2)=78,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=52 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,80],[0,2,86],[1,2,98],[1,3,83],[2,3,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,86],[1,2,98],[1,3,83],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,86],[1,2,98],[1,3,83],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,86],[1,2,98],[1,3,83],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=69, w=69\",\"Add (0,1)=80, w=149\",\"Add (1,3)=83, w=232\"],\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,86],[1,2,98],[1,3,83],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=69 Succeeded, w=69\",\"Add (0,1)=80 Succeeded, w=149\",\"Add (1,3)=83 Succeeded, w=232\",\"Add (0,2)=86 Failed, w=232\",\"Add (1,2)=98 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,86],[1,2,98],[1,3,83],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=69,(0,1)=80,(1,3)=83,(0,2)=86,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=69 Succeeded, w=69\",\"Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=149\",\"Find(1)=0, Find(3)=2, Add (1,3)=83 Succeeded, w=232\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=232\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,86],[1,2,98],[1,3,83],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=69,(0,1)=80,(1,3)=83,(0,2)=86,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=69 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(3)=2, Add (1,3)=83 Succeeded, w=232\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=232\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=232\"],\"Answer\":232}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,17],[0,2,9],[0,3,69],[0,4,30],[0,5,67],[0,6,11],[1,2,49],[1,3,30],[1,4,58],[1,5,86],[1,6,36],[2,3,76],[2,4,27],[2,5,31],[2,6,66],[3,4,40],[3,5,51],[3,6,70],[4,5,84],[4,6,8],[5,6,16]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,9],[0,3,69],[0,4,30],[0,5,67],[0,6,11],[1,2,49],[1,3,30],[1,4,58],[1,5,86],[1,6,36],[2,3,76],[2,4,27],[2,5,31],[2,6,66],[3,4,40],[3,5,51],[3,6,70],[4,5,84],[4,6,8],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,9],[0,3,69],[0,4,30],[0,5,67],[0,6,11],[1,2,49],[1,3,30],[1,4,58],[1,5,86],[1,6,36],[2,3,76],[2,4,27],[2,5,31],[2,6,66],[3,4,40],[3,5,51],[3,6,70],[4,5,84],[4,6,8],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,9],[0,3,69],[0,4,30],[0,5,67],[0,6,11],[1,2,49],[1,3,30],[1,4,58],[1,5,86],[1,6,36],[2,3,76],[2,4,27],[2,5,31],[2,6,66],[3,4,40],[3,5,51],[3,6,70],[4,5,84],[4,6,8],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=8, w=8\",\"Add (0,2)=9, w=17\",\"Add (0,6)=11, w=28\",\"Add (5,6)=16, w=44\",\"Add (0,1)=17, w=61\",\"Add (1,3)=30, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,9],[0,3,69],[0,4,30],[0,5,67],[0,6,11],[1,2,49],[1,3,30],[1,4,58],[1,5,86],[1,6,36],[2,3,76],[2,4,27],[2,5,31],[2,6,66],[3,4,40],[3,5,51],[3,6,70],[4,5,84],[4,6,8],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=8 Succeeded, w=8\",\"Add (0,2)=9 Succeeded, w=17\",\"Add (0,6)=11 Succeeded, w=28\",\"Add (5,6)=16 Succeeded, w=44\",\"Add (0,1)=17 Succeeded, w=61\",\"Add (2,4)=27 Failed, w=61\",\"Add (0,4)=30 Failed, w=61\",\"Add (1,3)=30 Succeeded, w=91\",\"Add (2,5)=31 Failed, w=91\",\"Add (1,6)=36 Failed, w=91\",\"Add (3,4)=40 Failed, w=91\",\"Add (1,2)=49 Failed, w=91\",\"Add (3,5)=51 Failed, w=91\",\"Add (1,4)=58 Failed, w=91\",\"Add (2,6)=66 Failed, w=91\",\"Add (0,5)=67 Failed, w=91\",\"Add (0,3)=69 Failed, w=91\",\"Add (3,6)=70 Failed, w=91\",\"Add (2,3)=76 Failed, w=91\",\"Add (4,5)=84 Failed, w=91\",\"Add (1,5)=86 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,9],[0,3,69],[0,4,30],[0,5,67],[0,6,11],[1,2,49],[1,3,30],[1,4,58],[1,5,86],[1,6,36],[2,3,76],[2,4,27],[2,5,31],[2,6,66],[3,4,40],[3,5,51],[3,6,70],[4,5,84],[4,6,8],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=8,(0,2)=9,(0,6)=11,(5,6)=16,(0,1)=17,(2,4)=27,(0,4)=30,(1,3)=30,(2,5)=31,(1,6)=36,(3,4)=40,(1,2)=49,(3,5)=51,(1,4)=58,(2,6)=66,(0,5)=67,(0,3)=69,(3,6)=70,(2,3)=76,(4,5)=84,(1,5)=86]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=17\",\"Find(0)=0, Find(6)=4, Add (0,6)=11 Succeeded, w=28\",\"Find(5)=5, Find(6)=0, Add (5,6)=16 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=61\",\"Find(2)=0, Find(4)=0, Add (2,4)=27 Failed, w=61\",\"Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=61\",\"Find(1)=0, Find(3)=3, Add (1,3)=30 Succeeded, w=91\",\"Find(2)=0, Find(5)=0, Add (2,5)=31 Failed, w=91\",\"Find(1)=0, Find(6)=0, Add (1,6)=36 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=91\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=91\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=91\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=91\",\"Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=91\",\"Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=91\",\"Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=91\",\"Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=91\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=91\",\"Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,9],[0,3,69],[0,4,30],[0,5,67],[0,6,11],[1,2,49],[1,3,30],[1,4,58],[1,5,86],[1,6,36],[2,3,76],[2,4,27],[2,5,31],[2,6,66],[3,4,40],[3,5,51],[3,6,70],[4,5,84],[4,6,8],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=8,(0,2)=9,(0,6)=11,(5,6)=16,(0,1)=17,(2,4)=27,(0,4)=30,(1,3)=30,(2,5)=31,(1,6)=36,(3,4)=40,(1,2)=49,(3,5)=51,(1,4)=58,(2,6)=66,(0,5)=67,(0,3)=69,(3,6)=70,(2,3)=76,(4,5)=84,(1,5)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=11 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=16 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=27 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=30 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=31 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=36 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,88],[0,2,7],[0,3,22],[0,4,20],[1,4,46],[2,4,49],[2,5,21],[3,5,7],[4,5,39]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,7],[0,3,22],[0,4,20],[1,4,46],[2,4,49],[2,5,21],[3,5,7],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,7],[0,3,22],[0,4,20],[1,4,46],[2,4,49],[2,5,21],[3,5,7],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,7],[0,3,22],[0,4,20],[1,4,46],[2,4,49],[2,5,21],[3,5,7],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (3,5)=7, w=14\",\"Add (0,4)=20, w=34\",\"Add (2,5)=21, w=55\",\"Add (1,4)=46, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,7],[0,3,22],[0,4,20],[1,4,46],[2,4,49],[2,5,21],[3,5,7],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (3,5)=7 Succeeded, w=14\",\"Add (0,4)=20 Succeeded, w=34\",\"Add (2,5)=21 Succeeded, w=55\",\"Add (0,3)=22 Failed, w=55\",\"Add (4,5)=39 Failed, w=55\",\"Add (1,4)=46 Succeeded, w=101\",\"Add (2,4)=49 Failed, w=101\",\"Add (0,1)=88 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,7],[0,3,22],[0,4,20],[1,4,46],[2,4,49],[2,5,21],[3,5,7],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(3,5)=7,(0,4)=20,(2,5)=21,(0,3)=22,(4,5)=39,(1,4)=46,(2,4)=49,(0,1)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=34\",\"Find(2)=0, Find(5)=3, Add (2,5)=21 Succeeded, w=55\",\"Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=55\",\"Find(4)=0, Find(5)=0, Add (4,5)=39 Failed, w=55\",\"Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=101\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=101\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,7],[0,3,22],[0,4,20],[1,4,46],[2,4,49],[2,5,21],[3,5,7],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(3,5)=7,(0,4)=20,(2,5)=21,(0,3)=22,(4,5)=39,(1,4)=46,(2,4)=49,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(5)=3, Add (2,5)=21 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=0, Add (0,3)=22 Failed, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=39 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,80],[0,2,92],[0,3,13],[1,2,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,92],[0,3,13],[1,2,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,92],[0,3,13],[1,2,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,92],[0,3,13],[1,2,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (1,2)=35, w=48\",\"Add (0,1)=80, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,92],[0,3,13],[1,2,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (1,2)=35 Succeeded, w=48\",\"Add (0,1)=80 Succeeded, w=128\",\"Add (0,2)=92 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,92],[0,3,13],[1,2,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(1,2)=35,(0,1)=80,(0,2)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=48\",\"Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=128\",\"Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,92],[0,3,13],[1,2,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(1,2)=35,(0,1)=80,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,27],[2,3,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,2)=27, w=30\"],\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,2)=27 Succeeded, w=30\"],\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,2)=27]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=30\"],\"Answer\":30}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,27],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,2)=27]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=30\"],\"Answer\":30}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,2,84],[0,3,8],[0,4,48],[1,2,89],[1,3,17],[1,4,38],[2,3,51],[2,4,30],[3,4,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,84],[0,3,8],[0,4,48],[1,2,89],[1,3,17],[1,4,38],[2,3,51],[2,4,30],[3,4,38]]}",
"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\":[[0,1,77],[0,2,84],[0,3,8],[0,4,48],[1,2,89],[1,3,17],[1,4,38],[2,3,51],[2,4,30],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,84],[0,3,8],[0,4,48],[1,2,89],[1,3,17],[1,4,38],[2,3,51],[2,4,30],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (1,3)=17, w=25\",\"Add (2,4)=30, w=55\",\"Add (1,4)=38, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,84],[0,3,8],[0,4,48],[1,2,89],[1,3,17],[1,4,38],[2,3,51],[2,4,30],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (1,3)=17 Succeeded, w=25\",\"Add (2,4)=30 Succeeded, w=55\",\"Add (1,4)=38 Succeeded, w=93\",\"Add (3,4)=38 Failed, w=93\",\"Add (0,4)=48 Failed, w=93\",\"Add (2,3)=51 Failed, w=93\",\"Add (0,1)=77 Failed, w=93\",\"Add (0,2)=84 Failed, w=93\",\"Add (1,2)=89 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\":[[0,1,77],[0,2,84],[0,3,8],[0,4,48],[1,2,89],[1,3,17],[1,4,38],[2,3,51],[2,4,30],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,3)=17,(2,4)=30,(1,4)=38,(3,4)=38,(0,4)=48,(2,3)=51,(0,1)=77,(0,2)=84,(1,2)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=25\",\"Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=55\",\"Find(1)=0, Find(4)=2, Add (1,4)=38 Succeeded, w=93\",\"Find(3)=0, Find(4)=0, Add (3,4)=38 Failed, w=93\",\"Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=93\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=93\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=93\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=93\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 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\":[[0,1,77],[0,2,84],[0,3,8],[0,4,48],[1,2,89],[1,3,17],[1,4,38],[2,3,51],[2,4,30],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,3)=17,(2,4)=30,(1,4)=38,(3,4)=38,(0,4)=48,(2,3)=51,(0,1)=77,(0,2)=84,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=38 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=38 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,81],[0,2,60],[1,3,85],[2,3,84]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,60],[1,3,85],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,60],[1,3,85],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,60],[1,3,85],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=60, w=60\",\"Add (0,1)=81, w=141\",\"Add (2,3)=84, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,60],[1,3,85],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=60 Succeeded, w=60\",\"Add (0,1)=81 Succeeded, w=141\",\"Add (2,3)=84 Succeeded, w=225\",\"Add (1,3)=85 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,60],[1,3,85],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=60,(0,1)=81,(2,3)=84,(1,3)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=60 Succeeded, w=60\",\"Find(0)=0, Find(1)=1, Add (0,1)=81 Succeeded, w=141\",\"Find(2)=0, Find(3)=3, Add (2,3)=84 Succeeded, w=225\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,60],[1,3,85],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=60,(0,1)=81,(2,3)=84,(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=60 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=81 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=84 Succeeded, w=225\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,83],[0,2,83],[0,3,58],[1,2,72],[1,3,28],[2,3,0]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,83],[0,3,58],[1,2,72],[1,3,28],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,83],[0,3,58],[1,2,72],[1,3,28],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,83],[0,3,58],[1,2,72],[1,3,28],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,3)=28, w=28\",\"Add (0,3)=58, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,83],[0,3,58],[1,2,72],[1,3,28],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,3)=28 Succeeded, w=28\",\"Add (0,3)=58 Succeeded, w=86\",\"Add (1,2)=72 Failed, w=86\",\"Add (0,1)=83 Failed, w=86\",\"Add (0,2)=83 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,83],[0,3,58],[1,2,72],[1,3,28],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=28,(0,3)=58,(1,2)=72,(0,1)=83,(0,2)=83]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=28\",\"Find(0)=0, Find(3)=2, Add (0,3)=58 Succeeded, w=86\",\"Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=86\",\"Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=86\",\"Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,83],[0,3,58],[1,2,72],[1,3,28],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=28,(0,3)=58,(1,2)=72,(0,1)=83,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=58 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,26],[0,2,74],[0,3,25],[0,4,0],[0,5,19],[0,6,2],[1,2,94],[1,3,49],[1,4,30],[1,5,41],[1,6,14],[2,3,20],[2,4,100],[2,5,92],[2,6,3],[3,4,27],[3,5,14],[3,6,8],[4,5,19],[4,6,15],[5,6,58]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,74],[0,3,25],[0,4,0],[0,5,19],[0,6,2],[1,2,94],[1,3,49],[1,4,30],[1,5,41],[1,6,14],[2,3,20],[2,4,100],[2,5,92],[2,6,3],[3,4,27],[3,5,14],[3,6,8],[4,5,19],[4,6,15],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":41}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,74],[0,3,25],[0,4,0],[0,5,19],[0,6,2],[1,2,94],[1,3,49],[1,4,30],[1,5,41],[1,6,14],[2,3,20],[2,4,100],[2,5,92],[2,6,3],[3,4,27],[3,5,14],[3,6,8],[4,5,19],[4,6,15],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (3,5)\"],\"Answer\":41}",
"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],[0,2,74],[0,3,25],[0,4,0],[0,5,19],[0,6,2],[1,2,94],[1,3,49],[1,4,30],[1,5,41],[1,6,14],[2,3,20],[2,4,100],[2,5,92],[2,6,3],[3,4,27],[3,5,14],[3,6,8],[4,5,19],[4,6,15],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (0,6)=2, w=2\",\"Add (2,6)=3, w=5\",\"Add (3,6)=8, w=13\",\"Add (1,6)=14, w=27\",\"Add (3,5)=14, w=41\"],\"Answer\":41}",
"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],[0,2,74],[0,3,25],[0,4,0],[0,5,19],[0,6,2],[1,2,94],[1,3,49],[1,4,30],[1,5,41],[1,6,14],[2,3,20],[2,4,100],[2,5,92],[2,6,3],[3,4,27],[3,5,14],[3,6,8],[4,5,19],[4,6,15],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (0,6)=2 Succeeded, w=2\",\"Add (2,6)=3 Succeeded, w=5\",\"Add (3,6)=8 Succeeded, w=13\",\"Add (1,6)=14 Succeeded, w=27\",\"Add (3,5)=14 Succeeded, w=41\",\"Add (4,6)=15 Failed, w=41\",\"Add (0,5)=19 Failed, w=41\",\"Add (4,5)=19 Failed, w=41\",\"Add (2,3)=20 Failed, w=41\",\"Add (0,3)=25 Failed, w=41\",\"Add (0,1)=26 Failed, w=41\",\"Add (3,4)=27 Failed, w=41\",\"Add (1,4)=30 Failed, w=41\",\"Add (1,5)=41 Failed, w=41\",\"Add (1,3)=49 Failed, w=41\",\"Add (5,6)=58 Failed, w=41\",\"Add (0,2)=74 Failed, w=41\",\"Add (2,5)=92 Failed, w=41\",\"Add (1,2)=94 Failed, w=41\",\"Add (2,4)=100 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,74],[0,3,25],[0,4,0],[0,5,19],[0,6,2],[1,2,94],[1,3,49],[1,4,30],[1,5,41],[1,6,14],[2,3,20],[2,4,100],[2,5,92],[2,6,3],[3,4,27],[3,5,14],[3,6,8],[4,5,19],[4,6,15],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,6)=2,(2,6)=3,(3,6)=8,(1,6)=14,(3,5)=14,(4,6)=15,(0,5)=19,(4,5)=19,(2,3)=20,(0,3)=25,(0,1)=26,(3,4)=27,(1,4)=30,(1,5)=41,(1,3)=49,(5,6)=58,(0,2)=74,(2,5)=92,(1,2)=94,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(2)=2, Find(6)=0, Add (2,6)=3 Succeeded, w=5\",\"Find(3)=3, Find(6)=0, Add (3,6)=8 Succeeded, w=13\",\"Find(1)=1, Find(6)=0, Add (1,6)=14 Succeeded, w=27\",\"Find(3)=0, Find(5)=5, Add (3,5)=14 Succeeded, w=41\",\"Find(4)=0, Find(6)=0, Add (4,6)=15 Failed, w=41\",\"Find(0)=0, Find(5)=0, Add (0,5)=19 Failed, w=41\",\"Find(4)=0, Find(5)=0, Add (4,5)=19 Failed, w=41\",\"Find(2)=0, Find(3)=0, Add (2,3)=20 Failed, w=41\",\"Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=41\",\"Find(0)=0, Find(1)=0, Add (0,1)=26 Failed, w=41\",\"Find(3)=0, Find(4)=0, Add (3,4)=27 Failed, w=41\",\"Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=41\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=41\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=41\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=41\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=41\",\"Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=41\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=41\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,74],[0,3,25],[0,4,0],[0,5,19],[0,6,2],[1,2,94],[1,3,49],[1,4,30],[1,5,41],[1,6,14],[2,3,20],[2,4,100],[2,5,92],[2,6,3],[3,4,27],[3,5,14],[3,6,8],[4,5,19],[4,6,15],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,6)=2,(2,6)=3,(3,6)=8,(1,6)=14,(3,5)=14,(4,6)=15,(0,5)=19,(4,5)=19,(2,3)=20,(0,3)=25,(0,1)=26,(3,4)=27,(1,4)=30,(1,5)=41,(1,3)=49,(5,6)=58,(0,2)=74,(2,5)=92,(1,2)=94,(2,4)=100]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=14 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=15 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=19 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=19 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=20 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=26 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=27 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,2,15],[1,3,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,15],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,15],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,15],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\",\"Add (0,2)=15, w=28\",\"Add (1,3)=76, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,15],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\",\"Add (0,2)=15 Succeeded, w=28\",\"Add (1,3)=76 Succeeded, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,15],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(0,2)=15,(1,3)=76]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=28\",\"Find(1)=0, Find(3)=3, Add (1,3)=76 Succeeded, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,15],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(0,2)=15,(1,3)=76]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=76 Succeeded, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,17],[0,2,90],[0,3,64],[1,2,21],[1,3,97],[2,3,33]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,90],[0,3,64],[1,2,21],[1,3,97],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,90],[0,3,64],[1,2,21],[1,3,97],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,90],[0,3,64],[1,2,21],[1,3,97],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17, w=17\",\"Add (1,2)=21, w=38\",\"Add (2,3)=33, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,90],[0,3,64],[1,2,21],[1,3,97],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17 Succeeded, w=17\",\"Add (1,2)=21 Succeeded, w=38\",\"Add (2,3)=33 Succeeded, w=71\",\"Add (0,3)=64 Failed, w=71\",\"Add (0,2)=90 Failed, w=71\",\"Add (1,3)=97 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,90],[0,3,64],[1,2,21],[1,3,97],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(1,2)=21,(2,3)=33,(0,3)=64,(0,2)=90,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Find(1)=0, Find(2)=2, Add (1,2)=21 Succeeded, w=38\",\"Find(2)=0, Find(3)=3, Add (2,3)=33 Succeeded, w=71\",\"Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=71\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=71\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,90],[0,3,64],[1,2,21],[1,3,97],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(1,2)=21,(2,3)=33,(0,3)=64,(0,2)=90,(1,3)=97]\",\"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(1)=0, Find(2)=2, Add (1,2)=21 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=33 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[0,2,98],[0,3,0],[0,4,82],[1,2,78],[1,3,20],[1,4,75],[2,4,60],[3,4,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,98],[0,3,0],[0,4,82],[1,2,78],[1,3,20],[1,4,75],[2,4,60],[3,4,45]]}",
"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\":[[0,1,31],[0,2,98],[0,3,0],[0,4,82],[1,2,78],[1,3,20],[1,4,75],[2,4,60],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,98],[0,3,0],[0,4,82],[1,2,78],[1,3,20],[1,4,75],[2,4,60],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,3)=20, w=20\",\"Add (3,4)=45, w=65\",\"Add (2,4)=60, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,2,98],[0,3,0],[0,4,82],[1,2,78],[1,3,20],[1,4,75],[2,4,60],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,3)=20 Succeeded, w=20\",\"Add (0,1)=31 Failed, w=20\",\"Add (3,4)=45 Succeeded, w=65\",\"Add (2,4)=60 Succeeded, w=125\",\"Add (1,4)=75 Failed, w=125\",\"Add (1,2)=78 Failed, w=125\",\"Add (0,4)=82 Failed, w=125\",\"Add (0,2)=98 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\":[[0,1,31],[0,2,98],[0,3,0],[0,4,82],[1,2,78],[1,3,20],[1,4,75],[2,4,60],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,3)=20,(0,1)=31,(3,4)=45,(2,4)=60,(1,4)=75,(1,2)=78,(0,4)=82,(0,2)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=0, Add (1,3)=20 Succeeded, w=20\",\"Find(0)=0, Find(1)=0, Add (0,1)=31 Failed, w=20\",\"Find(3)=0, Find(4)=4, Add (3,4)=45 Succeeded, w=65\",\"Find(2)=2, Find(4)=0, Add (2,4)=60 Succeeded, w=125\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=125\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=125\",\"Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=125\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 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\":[[0,1,31],[0,2,98],[0,3,0],[0,4,82],[1,2,78],[1,3,20],[1,4,75],[2,4,60],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,3)=20,(0,1)=31,(3,4)=45,(2,4)=60,(1,4)=75,(1,2)=78,(0,4)=82,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=31 Failed, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=45 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=60 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,74],[0,3,11],[0,4,41],[0,5,44],[1,5,42],[2,3,45],[2,4,79],[2,5,35],[3,4,5],[4,5,53]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,74],[0,3,11],[0,4,41],[0,5,44],[1,5,42],[2,3,45],[2,4,79],[2,5,35],[3,4,5],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,74],[0,3,11],[0,4,41],[0,5,44],[1,5,42],[2,3,45],[2,4,79],[2,5,35],[3,4,5],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (0,5)\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,74],[0,3,11],[0,4,41],[0,5,44],[1,5,42],[2,3,45],[2,4,79],[2,5,35],[3,4,5],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (0,3)=11, w=16\",\"Add (2,5)=35, w=51\",\"Add (1,5)=42, w=93\",\"Add (0,5)=44, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,74],[0,3,11],[0,4,41],[0,5,44],[1,5,42],[2,3,45],[2,4,79],[2,5,35],[3,4,5],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (0,3)=11 Succeeded, w=16\",\"Add (2,5)=35 Succeeded, w=51\",\"Add (0,4)=41 Failed, w=51\",\"Add (1,5)=42 Succeeded, w=93\",\"Add (0,5)=44 Succeeded, w=137\",\"Add (2,3)=45 Failed, w=137\",\"Add (4,5)=53 Failed, w=137\",\"Add (0,2)=74 Failed, w=137\",\"Add (2,4)=79 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,74],[0,3,11],[0,4,41],[0,5,44],[1,5,42],[2,3,45],[2,4,79],[2,5,35],[3,4,5],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(0,3)=11,(2,5)=35,(0,4)=41,(1,5)=42,(0,5)=44,(2,3)=45,(4,5)=53,(0,2)=74,(2,4)=79]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=16\",\"Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=51\",\"Find(0)=3, Find(4)=3, Add (0,4)=41 Failed, w=51\",\"Find(1)=1, Find(5)=2, Add (1,5)=42 Succeeded, w=93\",\"Find(0)=3, Find(5)=2, Add (0,5)=44 Succeeded, w=137\",\"Find(2)=3, Find(3)=3, Add (2,3)=45 Failed, w=137\",\"Find(4)=3, Find(5)=3, Add (4,5)=53 Failed, w=137\",\"Find(0)=3, Find(2)=3, Add (0,2)=74 Failed, w=137\",\"Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,74],[0,3,11],[0,4,41],[0,5,44],[1,5,42],[2,3,45],[2,4,79],[2,5,35],[3,4,5],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(0,3)=11,(2,5)=35,(0,4)=41,(1,5)=42,(0,5)=44,(2,3)=45,(4,5)=53,(0,2)=74,(2,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=16\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=51\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(4)=3, Add (0,4)=41 Failed, w=51\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=42 Succeeded, w=93\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(5)=2, Add (0,5)=44 Succeeded, w=137\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 3, 5: 2}, Find(2)=3, Find(3)=3, Add (2,3)=45 Failed, w=137\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=53 Failed, w=137\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=74 Failed, w=137\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,14],[0,2,0],[0,4,65],[0,5,29],[1,2,10],[1,5,60],[2,3,9],[2,4,17],[2,5,0],[3,5,94],[4,5,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,0],[0,4,65],[0,5,29],[1,2,10],[1,5,60],[2,3,9],[2,4,17],[2,5,0],[3,5,94],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":36}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,0],[0,4,65],[0,5,29],[1,2,10],[1,5,60],[2,3,9],[2,4,17],[2,5,0],[3,5,94],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":36}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,0],[0,4,65],[0,5,29],[1,2,10],[1,5,60],[2,3,9],[2,4,17],[2,5,0],[3,5,94],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (2,5)=0, w=0\",\"Add (2,3)=9, w=9\",\"Add (1,2)=10, w=19\",\"Add (2,4)=17, w=36\"],\"Answer\":36}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,0],[0,4,65],[0,5,29],[1,2,10],[1,5,60],[2,3,9],[2,4,17],[2,5,0],[3,5,94],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (2,5)=0 Succeeded, w=0\",\"Add (2,3)=9 Succeeded, w=9\",\"Add (1,2)=10 Succeeded, w=19\",\"Add (0,1)=14 Failed, w=19\",\"Add (2,4)=17 Succeeded, w=36\",\"Add (0,5)=29 Failed, w=36\",\"Add (1,5)=60 Failed, w=36\",\"Add (0,4)=65 Failed, w=36\",\"Add (4,5)=72 Failed, w=36\",\"Add (3,5)=94 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,0],[0,4,65],[0,5,29],[1,2,10],[1,5,60],[2,3,9],[2,4,17],[2,5,0],[3,5,94],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,5)=0,(2,3)=9,(1,2)=10,(0,1)=14,(2,4)=17,(0,5)=29,(1,5)=60,(0,4)=65,(4,5)=72,(3,5)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(2)=0, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(2)=0, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=0, Add (1,2)=10 Succeeded, w=19\",\"Find(0)=0, Find(1)=0, Add (0,1)=14 Failed, w=19\",\"Find(2)=0, Find(4)=4, Add (2,4)=17 Succeeded, w=36\",\"Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=36\",\"Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=36\",\"Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=36\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=36\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,0],[0,4,65],[0,5,29],[1,2,10],[1,5,60],[2,3,9],[2,4,17],[2,5,0],[3,5,94],[4,5,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,5)=0,(2,3)=9,(1,2)=10,(0,1)=14,(2,4)=17,(0,5)=29,(1,5)=60,(0,4)=65,(4,5)=72,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=14 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=4, Add (2,4)=17 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,3,0],[1,2,42],[1,3,59],[1,4,37],[2,4,58],[3,4,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,0],[1,2,42],[1,3,59],[1,4,37],[2,4,58],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,0],[1,2,42],[1,3,59],[1,4,37],[2,4,58],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,0],[1,2,42],[1,3,59],[1,4,37],[2,4,58],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,4)=37, w=37\",\"Add (1,2)=42, w=79\",\"Add (3,4)=45, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,0],[1,2,42],[1,3,59],[1,4,37],[2,4,58],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,4)=37 Succeeded, w=37\",\"Add (1,2)=42 Succeeded, w=79\",\"Add (3,4)=45 Succeeded, w=124\",\"Add (2,4)=58 Failed, w=124\",\"Add (1,3)=59 Failed, w=124\",\"Add (0,1)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,0],[1,2,42],[1,3,59],[1,4,37],[2,4,58],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,4)=37,(1,2)=42,(3,4)=45,(2,4)=58,(1,3)=59,(0,1)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=37 Succeeded, w=37\",\"Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=79\",\"Find(3)=0, Find(4)=1, Add (3,4)=45 Succeeded, w=124\",\"Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=124\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=124\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,0],[1,2,42],[1,3,59],[1,4,37],[2,4,58],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,4)=37,(1,2)=42,(3,4)=45,(2,4)=58,(1,3)=59,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(3)=0, Find(4)=1, Add (3,4)=45 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,16],[0,2,100],[0,3,53],[0,4,24],[0,5,25],[0,6,45],[1,2,9],[1,3,81],[1,4,18],[1,5,14],[2,3,56],[2,4,18],[2,5,79],[2,6,22],[3,4,48],[3,5,65],[3,6,97],[4,5,25],[4,6,96],[5,6,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,100],[0,3,53],[0,4,24],[0,5,25],[0,6,45],[1,2,9],[1,3,81],[1,4,18],[1,5,14],[2,3,56],[2,4,18],[2,5,79],[2,6,22],[3,4,48],[3,5,65],[3,6,97],[4,5,25],[4,6,96],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,100],[0,3,53],[0,4,24],[0,5,25],[0,6,45],[1,2,9],[1,3,81],[1,4,18],[1,5,14],[2,3,56],[2,4,18],[2,5,79],[2,6,22],[3,4,48],[3,5,65],[3,6,97],[4,5,25],[4,6,96],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (3,4)\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,100],[0,3,53],[0,4,24],[0,5,25],[0,6,45],[1,2,9],[1,3,81],[1,4,18],[1,5,14],[2,3,56],[2,4,18],[2,5,79],[2,6,22],[3,4,48],[3,5,65],[3,6,97],[4,5,25],[4,6,96],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (1,5)=14, w=23\",\"Add (0,1)=16, w=39\",\"Add (1,4)=18, w=57\",\"Add (2,6)=22, w=79\",\"Add (3,4)=48, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,100],[0,3,53],[0,4,24],[0,5,25],[0,6,45],[1,2,9],[1,3,81],[1,4,18],[1,5,14],[2,3,56],[2,4,18],[2,5,79],[2,6,22],[3,4,48],[3,5,65],[3,6,97],[4,5,25],[4,6,96],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (1,5)=14 Succeeded, w=23\",\"Add (0,1)=16 Succeeded, w=39\",\"Add (1,4)=18 Succeeded, w=57\",\"Add (2,4)=18 Failed, w=57\",\"Add (2,6)=22 Succeeded, w=79\",\"Add (0,4)=24 Failed, w=79\",\"Add (0,5)=25 Failed, w=79\",\"Add (4,5)=25 Failed, w=79\",\"Add (5,6)=32 Failed, w=79\",\"Add (0,6)=45 Failed, w=79\",\"Add (3,4)=48 Succeeded, w=127\",\"Add (0,3)=53 Failed, w=127\",\"Add (2,3)=56 Failed, w=127\",\"Add (3,5)=65 Failed, w=127\",\"Add (2,5)=79 Failed, w=127\",\"Add (1,3)=81 Failed, w=127\",\"Add (4,6)=96 Failed, w=127\",\"Add (3,6)=97 Failed, w=127\",\"Add (0,2)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,100],[0,3,53],[0,4,24],[0,5,25],[0,6,45],[1,2,9],[1,3,81],[1,4,18],[1,5,14],[2,3,56],[2,4,18],[2,5,79],[2,6,22],[3,4,48],[3,5,65],[3,6,97],[4,5,25],[4,6,96],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(1,5)=14,(0,1)=16,(1,4)=18,(2,4)=18,(2,6)=22,(0,4)=24,(0,5)=25,(4,5)=25,(5,6)=32,(0,6)=45,(3,4)=48,(0,3)=53,(2,3)=56,(3,5)=65,(2,5)=79,(1,3)=81,(4,6)=96,(3,6)=97,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=39\",\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=57\",\"Find(2)=1, Find(4)=1, Add (2,4)=18 Failed, w=57\",\"Find(2)=1, Find(6)=6, Add (2,6)=22 Succeeded, w=79\",\"Find(0)=1, Find(4)=1, Add (0,4)=24 Failed, w=79\",\"Find(0)=1, Find(5)=1, Add (0,5)=25 Failed, w=79\",\"Find(4)=1, Find(5)=1, Add (4,5)=25 Failed, w=79\",\"Find(5)=1, Find(6)=1, Add (5,6)=32 Failed, w=79\",\"Find(0)=1, Find(6)=1, Add (0,6)=45 Failed, w=79\",\"Find(3)=3, Find(4)=1, Add (3,4)=48 Succeeded, w=127\",\"Find(0)=1, Find(3)=1, Add (0,3)=53 Failed, w=127\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=127\",\"Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=127\",\"Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=127\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=127\",\"Find(4)=1, Find(6)=1, Add (4,6)=96 Failed, w=127\",\"Find(3)=1, Find(6)=1, Add (3,6)=97 Failed, w=127\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,100],[0,3,53],[0,4,24],[0,5,25],[0,6,45],[1,2,9],[1,3,81],[1,4,18],[1,5,14],[2,3,56],[2,4,18],[2,5,79],[2,6,22],[3,4,48],[3,5,65],[3,6,97],[4,5,25],[4,6,96],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(1,5)=14,(0,1)=16,(1,4)=18,(2,4)=18,(2,6)=22,(0,4)=24,(0,5)=25,(4,5)=25,(5,6)=32,(0,6)=45,(3,4)=48,(0,3)=53,(2,3)=56,(3,5)=65,(2,5)=79,(1,3)=81,(4,6)=96,(3,6)=97,(0,2)=100]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(4)=1, Add (2,4)=18 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=22 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=24 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=25 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=25 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=32 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=45 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(4)=1, Add (3,4)=48 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=53 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=96 Failed, w=127\",\"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=127\",\"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=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,41],[0,3,88],[0,5,23],[0,6,41],[1,2,60],[1,3,78],[1,4,74],[1,6,28],[2,3,71],[2,6,85],[4,6,9]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,41],[0,3,88],[0,5,23],[0,6,41],[1,2,60],[1,3,78],[1,4,74],[1,6,28],[2,3,71],[2,6,85],[4,6,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,41],[0,3,88],[0,5,23],[0,6,41],[1,2,60],[1,3,78],[1,4,74],[1,6,28],[2,3,71],[2,6,85],[4,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,5)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (2,3)\"],\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,41],[0,3,88],[0,5,23],[0,6,41],[1,2,60],[1,3,78],[1,4,74],[1,6,28],[2,3,71],[2,6,85],[4,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=9, w=9\",\"Add (0,5)=23, w=32\",\"Add (1,6)=28, w=60\",\"Add (0,2)=41, w=101\",\"Add (0,6)=41, w=142\",\"Add (2,3)=71, w=213\"],\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,41],[0,3,88],[0,5,23],[0,6,41],[1,2,60],[1,3,78],[1,4,74],[1,6,28],[2,3,71],[2,6,85],[4,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=9 Succeeded, w=9\",\"Add (0,5)=23 Succeeded, w=32\",\"Add (1,6)=28 Succeeded, w=60\",\"Add (0,2)=41 Succeeded, w=101\",\"Add (0,6)=41 Succeeded, w=142\",\"Add (1,2)=60 Failed, w=142\",\"Add (2,3)=71 Succeeded, w=213\",\"Add (1,4)=74 Failed, w=213\",\"Add (1,3)=78 Failed, w=213\",\"Add (2,6)=85 Failed, w=213\",\"Add (0,3)=88 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,41],[0,3,88],[0,5,23],[0,6,41],[1,2,60],[1,3,78],[1,4,74],[1,6,28],[2,3,71],[2,6,85],[4,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=9,(0,5)=23,(1,6)=28,(0,2)=41,(0,6)=41,(1,2)=60,(2,3)=71,(1,4)=74,(1,3)=78,(2,6)=85,(0,3)=88]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=9\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=32\",\"Find(1)=1, Find(6)=4, Add (1,6)=28 Succeeded, w=60\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=101\",\"Find(0)=0, Find(6)=4, Add (0,6)=41 Succeeded, w=142\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=142\",\"Find(2)=0, Find(3)=3, Add (2,3)=71 Succeeded, w=213\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=213\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=213\",\"Find(2)=0, Find(6)=0, Add (2,6)=85 Failed, w=213\",\"Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,41],[0,3,88],[0,5,23],[0,6,41],[1,2,60],[1,3,78],[1,4,74],[1,6,28],[2,3,71],[2,6,85],[4,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=9,(0,5)=23,(1,6)=28,(0,2)=41,(0,6)=41,(1,2)=60,(2,3)=71,(1,4)=74,(1,3)=78,(2,6)=85,(0,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=28 Succeeded, w=60\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=101\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=41 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(2)=0, Find(3)=3, Add (2,3)=71 Succeeded, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=85 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,72],[0,2,53],[0,3,38],[0,4,39],[0,5,40],[1,2,15],[1,3,84],[1,4,8],[1,5,84],[1,6,24],[2,3,92],[2,4,66],[2,5,57],[2,6,99],[3,4,16],[3,5,35],[3,6,44],[4,5,7],[4,6,96],[5,6,55]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,53],[0,3,38],[0,4,39],[0,5,40],[1,2,15],[1,3,84],[1,4,8],[1,5,84],[1,6,24],[2,3,92],[2,4,66],[2,5,57],[2,6,99],[3,4,16],[3,5,35],[3,6,44],[4,5,7],[4,6,96],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,53],[0,3,38],[0,4,39],[0,5,40],[1,2,15],[1,3,84],[1,4,8],[1,5,84],[1,6,24],[2,3,92],[2,4,66],[2,5,57],[2,6,99],[3,4,16],[3,5,35],[3,6,44],[4,5,7],[4,6,96],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (0,3)\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,53],[0,3,38],[0,4,39],[0,5,40],[1,2,15],[1,3,84],[1,4,8],[1,5,84],[1,6,24],[2,3,92],[2,4,66],[2,5,57],[2,6,99],[3,4,16],[3,5,35],[3,6,44],[4,5,7],[4,6,96],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7, w=7\",\"Add (1,4)=8, w=15\",\"Add (1,2)=15, w=30\",\"Add (3,4)=16, w=46\",\"Add (1,6)=24, w=70\",\"Add (0,3)=38, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,53],[0,3,38],[0,4,39],[0,5,40],[1,2,15],[1,3,84],[1,4,8],[1,5,84],[1,6,24],[2,3,92],[2,4,66],[2,5,57],[2,6,99],[3,4,16],[3,5,35],[3,6,44],[4,5,7],[4,6,96],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7 Succeeded, w=7\",\"Add (1,4)=8 Succeeded, w=15\",\"Add (1,2)=15 Succeeded, w=30\",\"Add (3,4)=16 Succeeded, w=46\",\"Add (1,6)=24 Succeeded, w=70\",\"Add (3,5)=35 Failed, w=70\",\"Add (0,3)=38 Succeeded, w=108\",\"Add (0,4)=39 Failed, w=108\",\"Add (0,5)=40 Failed, w=108\",\"Add (3,6)=44 Failed, w=108\",\"Add (0,2)=53 Failed, w=108\",\"Add (5,6)=55 Failed, w=108\",\"Add (2,5)=57 Failed, w=108\",\"Add (2,4)=66 Failed, w=108\",\"Add (0,1)=72 Failed, w=108\",\"Add (1,3)=84 Failed, w=108\",\"Add (1,5)=84 Failed, w=108\",\"Add (2,3)=92 Failed, w=108\",\"Add (4,6)=96 Failed, w=108\",\"Add (2,6)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,53],[0,3,38],[0,4,39],[0,5,40],[1,2,15],[1,3,84],[1,4,8],[1,5,84],[1,6,24],[2,3,92],[2,4,66],[2,5,57],[2,6,99],[3,4,16],[3,5,35],[3,6,44],[4,5,7],[4,6,96],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(1,4)=8,(1,2)=15,(3,4)=16,(1,6)=24,(3,5)=35,(0,3)=38,(0,4)=39,(0,5)=40,(3,6)=44,(0,2)=53,(5,6)=55,(2,5)=57,(2,4)=66,(0,1)=72,(1,3)=84,(1,5)=84,(2,3)=92,(4,6)=96,(2,6)=99]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=15\",\"Find(1)=4, Find(2)=2, Add (1,2)=15 Succeeded, w=30\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=46\",\"Find(1)=4, Find(6)=6, Add (1,6)=24 Succeeded, w=70\",\"Find(3)=4, Find(5)=4, Add (3,5)=35 Failed, w=70\",\"Find(0)=0, Find(3)=4, Add (0,3)=38 Succeeded, w=108\",\"Find(0)=4, Find(4)=4, Add (0,4)=39 Failed, w=108\",\"Find(0)=4, Find(5)=4, Add (0,5)=40 Failed, w=108\",\"Find(3)=4, Find(6)=4, Add (3,6)=44 Failed, w=108\",\"Find(0)=4, Find(2)=4, Add (0,2)=53 Failed, w=108\",\"Find(5)=4, Find(6)=4, Add (5,6)=55 Failed, w=108\",\"Find(2)=4, Find(5)=4, Add (2,5)=57 Failed, w=108\",\"Find(2)=4, Find(4)=4, Add (2,4)=66 Failed, w=108\",\"Find(0)=4, Find(1)=4, Add (0,1)=72 Failed, w=108\",\"Find(1)=4, Find(3)=4, Add (1,3)=84 Failed, w=108\",\"Find(1)=4, Find(5)=4, Add (1,5)=84 Failed, w=108\",\"Find(2)=4, Find(3)=4, Add (2,3)=92 Failed, w=108\",\"Find(4)=4, Find(6)=4, Add (4,6)=96 Failed, w=108\",\"Find(2)=4, Find(6)=4, Add (2,6)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,53],[0,3,38],[0,4,39],[0,5,40],[1,2,15],[1,3,84],[1,4,8],[1,5,84],[1,6,24],[2,3,92],[2,4,66],[2,5,57],[2,6,99],[3,4,16],[3,5,35],[3,6,44],[4,5,7],[4,6,96],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(1,4)=8,(1,2)=15,(3,4)=16,(1,6)=24,(3,5)=35,(0,3)=38,(0,4)=39,(0,5)=40,(3,6)=44,(0,2)=53,(5,6)=55,(2,5)=57,(2,4)=66,(0,1)=72,(1,3)=84,(1,5)=84,(2,3)=92,(4,6)=96,(2,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=4, Find(2)=2, Add (1,2)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=46\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=6, Add (1,6)=24 Succeeded, w=70\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=35 Failed, w=70\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(3)=4, Add (0,3)=38 Succeeded, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=39 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=40 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=44 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=53 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=55 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=57 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=66 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=72 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=84 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=84 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=92 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=96 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,4,54],[2,3,56],[2,4,52],[3,4,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,4,54],[2,3,56],[2,4,52],[3,4,41]]}",
"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\":[[0,1,14],[0,4,54],[2,3,56],[2,4,52],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,4,54],[2,3,56],[2,4,52],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (3,4)=41, w=55\",\"Add (2,4)=52, w=107\",\"Add (0,4)=54, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,4,54],[2,3,56],[2,4,52],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (3,4)=41 Succeeded, w=55\",\"Add (2,4)=52 Succeeded, w=107\",\"Add (0,4)=54 Succeeded, w=161\",\"Add (2,3)=56 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\":[[0,1,14],[0,4,54],[2,3,56],[2,4,52],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(3,4)=41,(2,4)=52,(0,4)=54,(2,3)=56]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(3)=3, Find(4)=4, Add (3,4)=41 Succeeded, w=55\",\"Find(2)=2, Find(4)=3, Add (2,4)=52 Succeeded, w=107\",\"Find(0)=0, Find(4)=3, Add (0,4)=54 Succeeded, w=161\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 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\":[[0,1,14],[0,4,54],[2,3,56],[2,4,52],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(3,4)=41,(2,4)=52,(0,4)=54,(2,3)=56]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=41 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=52 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=54 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,44],[0,4,96],[0,5,7],[1,2,4],[1,4,99],[1,5,79],[2,3,59],[2,5,99]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,4,96],[0,5,7],[1,2,4],[1,4,99],[1,5,79],[2,3,59],[2,5,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,4,96],[0,5,7],[1,2,4],[1,4,99],[1,5,79],[2,3,59],[2,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,4,96],[0,5,7],[1,2,4],[1,4,99],[1,5,79],[2,3,59],[2,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,5)=7, w=11\",\"Add (0,1)=44, w=55\",\"Add (2,3)=59, w=114\",\"Add (0,4)=96, w=210\"],\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,4,96],[0,5,7],[1,2,4],[1,4,99],[1,5,79],[2,3,59],[2,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,5)=7 Succeeded, w=11\",\"Add (0,1)=44 Succeeded, w=55\",\"Add (2,3)=59 Succeeded, w=114\",\"Add (1,5)=79 Failed, w=114\",\"Add (0,4)=96 Succeeded, w=210\",\"Add (1,4)=99 Failed, w=210\",\"Add (2,5)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,4,96],[0,5,7],[1,2,4],[1,4,99],[1,5,79],[2,3,59],[2,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,5)=7,(0,1)=44,(2,3)=59,(1,5)=79,(0,4)=96,(1,4)=99,(2,5)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=55\",\"Find(2)=0, Find(3)=3, Add (2,3)=59 Succeeded, w=114\",\"Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=114\",\"Find(0)=0, Find(4)=4, Add (0,4)=96 Succeeded, w=210\",\"Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=210\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,4,96],[0,5,7],[1,2,4],[1,4,99],[1,5,79],[2,3,59],[2,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,5)=7,(0,1)=44,(2,3)=59,(1,5)=79,(0,4)=96,(1,4)=99,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=59 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=96 Succeeded, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,62],[0,2,43],[0,3,29],[0,4,66],[0,5,85],[1,3,25],[1,4,62],[1,5,44],[2,5,10],[3,4,23],[4,5,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,43],[0,3,29],[0,4,66],[0,5,85],[1,3,25],[1,4,62],[1,5,44],[2,5,10],[3,4,23],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,43],[0,3,29],[0,4,66],[0,5,85],[1,3,25],[1,4,62],[1,5,44],[2,5,10],[3,4,23],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,43],[0,3,29],[0,4,66],[0,5,85],[1,3,25],[1,4,62],[1,5,44],[2,5,10],[3,4,23],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7, w=7\",\"Add (2,5)=10, w=17\",\"Add (3,4)=23, w=40\",\"Add (1,3)=25, w=65\",\"Add (0,3)=29, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,43],[0,3,29],[0,4,66],[0,5,85],[1,3,25],[1,4,62],[1,5,44],[2,5,10],[3,4,23],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7 Succeeded, w=7\",\"Add (2,5)=10 Succeeded, w=17\",\"Add (3,4)=23 Succeeded, w=40\",\"Add (1,3)=25 Succeeded, w=65\",\"Add (0,3)=29 Succeeded, w=94\",\"Add (0,2)=43 Failed, w=94\",\"Add (1,5)=44 Failed, w=94\",\"Add (0,1)=62 Failed, w=94\",\"Add (1,4)=62 Failed, w=94\",\"Add (0,4)=66 Failed, w=94\",\"Add (0,5)=85 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,43],[0,3,29],[0,4,66],[0,5,85],[1,3,25],[1,4,62],[1,5,44],[2,5,10],[3,4,23],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(2,5)=10,(3,4)=23,(1,3)=25,(0,3)=29,(0,2)=43,(1,5)=44,(0,1)=62,(1,4)=62,(0,4)=66,(0,5)=85]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(5)=4, Add (2,5)=10 Succeeded, w=17\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=40\",\"Find(1)=1, Find(3)=4, Add (1,3)=25 Succeeded, w=65\",\"Find(0)=0, Find(3)=4, Add (0,3)=29 Succeeded, w=94\",\"Find(0)=4, Find(2)=4, Add (0,2)=43 Failed, w=94\",\"Find(1)=4, Find(5)=4, Add (1,5)=44 Failed, w=94\",\"Find(0)=4, Find(1)=4, Add (0,1)=62 Failed, w=94\",\"Find(1)=4, Find(4)=4, Add (1,4)=62 Failed, w=94\",\"Find(0)=4, Find(4)=4, Add (0,4)=66 Failed, w=94\",\"Find(0)=4, Find(5)=4, Add (0,5)=85 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,43],[0,3,29],[0,4,66],[0,5,85],[1,3,25],[1,4,62],[1,5,44],[2,5,10],[3,4,23],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(2,5)=10,(3,4)=23,(1,3)=25,(0,3)=29,(0,2)=43,(1,5)=44,(0,1)=62,(1,4)=62,(0,4)=66,(0,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=40\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(3)=4, Add (1,3)=25 Succeeded, w=65\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(3)=4, Add (0,3)=29 Succeeded, w=94\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=43 Failed, w=94\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=44 Failed, w=94\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=62 Failed, w=94\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=62 Failed, w=94\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=66 Failed, w=94\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(5)=4, Add (0,5)=85 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,3,97],[0,4,41],[0,5,89],[0,6,48],[0,7,64],[1,2,22],[1,3,2],[1,4,17],[1,5,6],[1,6,3],[1,7,89],[2,3,90],[2,4,52],[2,5,20],[2,6,23],[3,4,41],[3,5,86],[3,6,62],[3,7,34],[4,5,31],[4,6,93],[4,7,31],[5,6,28],[5,7,77]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,3,97],[0,4,41],[0,5,89],[0,6,48],[0,7,64],[1,2,22],[1,3,2],[1,4,17],[1,5,6],[1,6,3],[1,7,89],[2,3,90],[2,4,52],[2,5,20],[2,6,23],[3,4,41],[3,5,86],[3,6,62],[3,7,34],[4,5,31],[4,6,93],[4,7,31],[5,6,28],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,3,97],[0,4,41],[0,5,89],[0,6,48],[0,7,64],[1,2,22],[1,3,2],[1,4,17],[1,5,6],[1,6,3],[1,7,89],[2,3,90],[2,4,52],[2,5,20],[2,6,23],[3,4,41],[3,5,86],[3,6,62],[3,7,34],[4,5,31],[4,6,93],[4,7,31],[5,6,28],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (4,7)\",\"Add (0,1)\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,3,97],[0,4,41],[0,5,89],[0,6,48],[0,7,64],[1,2,22],[1,3,2],[1,4,17],[1,5,6],[1,6,3],[1,7,89],[2,3,90],[2,4,52],[2,5,20],[2,6,23],[3,4,41],[3,5,86],[3,6,62],[3,7,34],[4,5,31],[4,6,93],[4,7,31],[5,6,28],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (1,6)=3, w=5\",\"Add (1,5)=6, w=11\",\"Add (1,4)=17, w=28\",\"Add (2,5)=20, w=48\",\"Add (4,7)=31, w=79\",\"Add (0,1)=34, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,3,97],[0,4,41],[0,5,89],[0,6,48],[0,7,64],[1,2,22],[1,3,2],[1,4,17],[1,5,6],[1,6,3],[1,7,89],[2,3,90],[2,4,52],[2,5,20],[2,6,23],[3,4,41],[3,5,86],[3,6,62],[3,7,34],[4,5,31],[4,6,93],[4,7,31],[5,6,28],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (1,6)=3 Succeeded, w=5\",\"Add (1,5)=6 Succeeded, w=11\",\"Add (1,4)=17 Succeeded, w=28\",\"Add (2,5)=20 Succeeded, w=48\",\"Add (1,2)=22 Failed, w=48\",\"Add (2,6)=23 Failed, w=48\",\"Add (5,6)=28 Failed, w=48\",\"Add (4,5)=31 Failed, w=48\",\"Add (4,7)=31 Succeeded, w=79\",\"Add (0,1)=34 Succeeded, w=113\",\"Add (3,7)=34 Failed, w=113\",\"Add (0,4)=41 Failed, w=113\",\"Add (3,4)=41 Failed, w=113\",\"Add (0,6)=48 Failed, w=113\",\"Add (2,4)=52 Failed, w=113\",\"Add (3,6)=62 Failed, w=113\",\"Add (0,7)=64 Failed, w=113\",\"Add (5,7)=77 Failed, w=113\",\"Add (3,5)=86 Failed, w=113\",\"Add (0,5)=89 Failed, w=113\",\"Add (1,7)=89 Failed, w=113\",\"Add (2,3)=90 Failed, w=113\",\"Add (4,6)=93 Failed, w=113\",\"Add (0,3)=97 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,3,97],[0,4,41],[0,5,89],[0,6,48],[0,7,64],[1,2,22],[1,3,2],[1,4,17],[1,5,6],[1,6,3],[1,7,89],[2,3,90],[2,4,52],[2,5,20],[2,6,23],[3,4,41],[3,5,86],[3,6,62],[3,7,34],[4,5,31],[4,6,93],[4,7,31],[5,6,28],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,6)=3,(1,5)=6,(1,4)=17,(2,5)=20,(1,2)=22,(2,6)=23,(5,6)=28,(4,5)=31,(4,7)=31,(0,1)=34,(3,7)=34,(0,4)=41,(3,4)=41,(0,6)=48,(2,4)=52,(3,6)=62,(0,7)=64,(5,7)=77,(3,5)=86,(0,5)=89,(1,7)=89,(2,3)=90,(4,6)=93,(0,3)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=28\",\"Find(2)=2, Find(5)=1, Add (2,5)=20 Succeeded, w=48\",\"Find(1)=1, Find(2)=1, Add (1,2)=22 Failed, w=48\",\"Find(2)=1, Find(6)=1, Add (2,6)=23 Failed, w=48\",\"Find(5)=1, Find(6)=1, Add (5,6)=28 Failed, w=48\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=48\",\"Find(4)=1, Find(7)=7, Add (4,7)=31 Succeeded, w=79\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=113\",\"Find(3)=1, Find(7)=1, Add (3,7)=34 Failed, w=113\",\"Find(0)=1, Find(4)=1, Add (0,4)=41 Failed, w=113\",\"Find(3)=1, Find(4)=1, Add (3,4)=41 Failed, w=113\",\"Find(0)=1, Find(6)=1, Add (0,6)=48 Failed, w=113\",\"Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=113\",\"Find(3)=1, Find(6)=1, Add (3,6)=62 Failed, w=113\",\"Find(0)=1, Find(7)=1, Add (0,7)=64 Failed, w=113\",\"Find(5)=1, Find(7)=1, Add (5,7)=77 Failed, w=113\",\"Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=113\",\"Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=113\",\"Find(1)=1, Find(7)=1, Add (1,7)=89 Failed, w=113\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=113\",\"Find(4)=1, Find(6)=1, Add (4,6)=93 Failed, w=113\",\"Find(0)=1, Find(3)=1, Add (0,3)=97 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,3,97],[0,4,41],[0,5,89],[0,6,48],[0,7,64],[1,2,22],[1,3,2],[1,4,17],[1,5,6],[1,6,3],[1,7,89],[2,3,90],[2,4,52],[2,5,20],[2,6,23],[3,4,41],[3,5,86],[3,6,62],[3,7,34],[4,5,31],[4,6,93],[4,7,31],[5,6,28],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,6)=3,(1,5)=6,(1,4)=17,(2,5)=20,(1,2)=22,(2,6)=23,(5,6)=28,(4,5)=31,(4,7)=31,(0,1)=34,(3,7)=34,(0,4)=41,(3,4)=41,(0,6)=48,(2,4)=52,(3,6)=62,(0,7)=64,(5,7)=77,(3,5)=86,(0,5)=89,(1,7)=89,(2,3)=90,(4,6)=93,(0,3)=97]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=2, Find(5)=1, Add (2,5)=20 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(2)=1, Add (1,2)=22 Failed, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(6)=1, Add (2,6)=23 Failed, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=1, Add (5,6)=28 Failed, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=31 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=113\",\"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)=34 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=41 Failed, w=113\",\"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)=41 Failed, w=113\",\"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)=48 Failed, w=113\",\"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)=52 Failed, w=113\",\"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)=62 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=64 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=77 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=89 Failed, w=113\",\"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)=90 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=93 Failed, w=113\",\"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)=97 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,51],[0,2,47],[0,3,76],[1,2,88],[1,3,2],[1,5,60],[2,3,32],[2,4,26],[2,5,42],[3,4,71],[4,5,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,47],[0,3,76],[1,2,88],[1,3,2],[1,5,60],[2,3,32],[2,4,26],[2,5,42],[3,4,71],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,47],[0,3,76],[1,2,88],[1,3,2],[1,5,60],[2,3,32],[2,4,26],[2,5,42],[3,4,71],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (0,2)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,47],[0,3,76],[1,2,88],[1,3,2],[1,5,60],[2,3,32],[2,4,26],[2,5,42],[3,4,71],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,4)=26, w=28\",\"Add (2,3)=32, w=60\",\"Add (2,5)=42, w=102\",\"Add (0,2)=47, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,47],[0,3,76],[1,2,88],[1,3,2],[1,5,60],[2,3,32],[2,4,26],[2,5,42],[3,4,71],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,4)=26 Succeeded, w=28\",\"Add (2,3)=32 Succeeded, w=60\",\"Add (2,5)=42 Succeeded, w=102\",\"Add (0,2)=47 Succeeded, w=149\",\"Add (0,1)=51 Failed, w=149\",\"Add (1,5)=60 Failed, w=149\",\"Add (4,5)=64 Failed, w=149\",\"Add (3,4)=71 Failed, w=149\",\"Add (0,3)=76 Failed, w=149\",\"Add (1,2)=88 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,47],[0,3,76],[1,2,88],[1,3,2],[1,5,60],[2,3,32],[2,4,26],[2,5,42],[3,4,71],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,4)=26,(2,3)=32,(2,5)=42,(0,2)=47,(0,1)=51,(1,5)=60,(4,5)=64,(3,4)=71,(0,3)=76,(1,2)=88]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=28\",\"Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=60\",\"Find(2)=2, Find(5)=5, Add (2,5)=42 Succeeded, w=102\",\"Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=149\",\"Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=149\",\"Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=149\",\"Find(4)=2, Find(5)=2, Add (4,5)=64 Failed, w=149\",\"Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=149\",\"Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=149\",\"Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,47],[0,3,76],[1,2,88],[1,3,2],[1,5,60],[2,3,32],[2,4,26],[2,5,42],[3,4,71],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,4)=26,(2,3)=32,(2,5)=42,(0,2)=47,(0,1)=51,(1,5)=60,(4,5)=64,(3,4)=71,(0,3)=76,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, 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}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=28\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=60\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=42 Succeeded, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=64 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=71 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,72],[0,2,40],[0,3,1],[0,4,22],[0,5,30],[0,6,46],[0,7,83],[1,2,72],[1,3,49],[1,4,73],[1,5,46],[1,6,72],[1,7,72],[2,4,63],[2,5,69],[2,6,7],[2,7,100],[3,4,60],[3,6,26],[3,7,48],[4,5,71],[4,6,47],[4,7,70],[5,6,82],[6,7,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,40],[0,3,1],[0,4,22],[0,5,30],[0,6,46],[0,7,83],[1,2,72],[1,3,49],[1,4,73],[1,5,46],[1,6,72],[1,7,72],[2,4,63],[2,5,69],[2,6,7],[2,7,100],[3,4,60],[3,6,26],[3,7,48],[4,5,71],[4,6,47],[4,7,70],[5,6,82],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,40],[0,3,1],[0,4,22],[0,5,30],[0,6,46],[0,7,83],[1,2,72],[1,3,49],[1,4,73],[1,5,46],[1,6,72],[1,7,72],[2,4,63],[2,5,69],[2,6,7],[2,7,100],[3,4,60],[3,6,26],[3,7,48],[4,5,71],[4,6,47],[4,7,70],[5,6,82],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (1,5)\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,40],[0,3,1],[0,4,22],[0,5,30],[0,6,46],[0,7,83],[1,2,72],[1,3,49],[1,4,73],[1,5,46],[1,6,72],[1,7,72],[2,4,63],[2,5,69],[2,6,7],[2,7,100],[3,4,60],[3,6,26],[3,7,48],[4,5,71],[4,6,47],[4,7,70],[5,6,82],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (2,6)=7, w=8\",\"Add (0,4)=22, w=30\",\"Add (3,6)=26, w=56\",\"Add (0,5)=30, w=86\",\"Add (6,7)=42, w=128\",\"Add (1,5)=46, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,40],[0,3,1],[0,4,22],[0,5,30],[0,6,46],[0,7,83],[1,2,72],[1,3,49],[1,4,73],[1,5,46],[1,6,72],[1,7,72],[2,4,63],[2,5,69],[2,6,7],[2,7,100],[3,4,60],[3,6,26],[3,7,48],[4,5,71],[4,6,47],[4,7,70],[5,6,82],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (2,6)=7 Succeeded, w=8\",\"Add (0,4)=22 Succeeded, w=30\",\"Add (3,6)=26 Succeeded, w=56\",\"Add (0,5)=30 Succeeded, w=86\",\"Add (0,2)=40 Failed, w=86\",\"Add (6,7)=42 Succeeded, w=128\",\"Add (0,6)=46 Failed, w=128\",\"Add (1,5)=46 Succeeded, w=174\",\"Add (4,6)=47 Failed, w=174\",\"Add (3,7)=48 Failed, w=174\",\"Add (1,3)=49 Failed, w=174\",\"Add (3,4)=60 Failed, w=174\",\"Add (2,4)=63 Failed, w=174\",\"Add (2,5)=69 Failed, w=174\",\"Add (4,7)=70 Failed, w=174\",\"Add (4,5)=71 Failed, w=174\",\"Add (0,1)=72 Failed, w=174\",\"Add (1,2)=72 Failed, w=174\",\"Add (1,6)=72 Failed, w=174\",\"Add (1,7)=72 Failed, w=174\",\"Add (1,4)=73 Failed, w=174\",\"Add (5,6)=82 Failed, w=174\",\"Add (0,7)=83 Failed, w=174\",\"Add (2,7)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,40],[0,3,1],[0,4,22],[0,5,30],[0,6,46],[0,7,83],[1,2,72],[1,3,49],[1,4,73],[1,5,46],[1,6,72],[1,7,72],[2,4,63],[2,5,69],[2,6,7],[2,7,100],[3,4,60],[3,6,26],[3,7,48],[4,5,71],[4,6,47],[4,7,70],[5,6,82],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,6)=7,(0,4)=22,(3,6)=26,(0,5)=30,(0,2)=40,(6,7)=42,(0,6)=46,(1,5)=46,(4,6)=47,(3,7)=48,(1,3)=49,(3,4)=60,(2,4)=63,(2,5)=69,(4,7)=70,(4,5)=71,(0,1)=72,(1,2)=72,(1,6)=72,(1,7)=72,(1,4)=73,(5,6)=82,(0,7)=83,(2,7)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=30\",\"Find(3)=0, Find(6)=2, Add (3,6)=26 Succeeded, w=56\",\"Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=86\",\"Find(0)=0, Find(2)=0, Add (0,2)=40 Failed, w=86\",\"Find(6)=0, Find(7)=7, Add (6,7)=42 Succeeded, w=128\",\"Find(0)=0, Find(6)=0, Add (0,6)=46 Failed, w=128\",\"Find(1)=1, Find(5)=0, Add (1,5)=46 Succeeded, w=174\",\"Find(4)=0, Find(6)=0, Add (4,6)=47 Failed, w=174\",\"Find(3)=0, Find(7)=0, Add (3,7)=48 Failed, w=174\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=174\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=174\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=174\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=174\",\"Find(4)=0, Find(7)=0, Add (4,7)=70 Failed, w=174\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=174\",\"Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=174\",\"Find(1)=0, Find(6)=0, Add (1,6)=72 Failed, w=174\",\"Find(1)=0, Find(7)=0, Add (1,7)=72 Failed, w=174\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=174\",\"Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=174\",\"Find(0)=0, Find(7)=0, Add (0,7)=83 Failed, w=174\",\"Find(2)=0, Find(7)=0, Add (2,7)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,40],[0,3,1],[0,4,22],[0,5,30],[0,6,46],[0,7,83],[1,2,72],[1,3,49],[1,4,73],[1,5,46],[1,6,72],[1,7,72],[2,4,63],[2,5,69],[2,6,7],[2,7,100],[3,4,60],[3,6,26],[3,7,48],[4,5,71],[4,6,47],[4,7,70],[5,6,82],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,6)=7,(0,4)=22,(3,6)=26,(0,5)=30,(0,2)=40,(6,7)=42,(0,6)=46,(1,5)=46,(4,6)=47,(3,7)=48,(1,3)=49,(3,4)=60,(2,4)=63,(2,5)=69,(4,7)=70,(4,5)=71,(0,1)=72,(1,2)=72,(1,6)=72,(1,7)=72,(1,4)=73,(5,6)=82,(0,7)=83,(2,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2, 7: 7}, Find(3)=0, Find(6)=2, Add (3,6)=26 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 7}, Find(0)=0, Find(2)=0, Add (0,2)=40 Failed, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=42 Succeeded, w=128\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=46 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(5)=0, Add (1,5)=46 Succeeded, w=174\",\"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)=47 Failed, w=174\",\"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)=48 Failed, w=174\",\"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)=49 Failed, w=174\",\"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)=60 Failed, w=174\",\"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)=63 Failed, w=174\",\"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)=69 Failed, w=174\",\"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)=70 Failed, w=174\",\"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)=71 Failed, w=174\",\"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)=72 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=174\",\"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)=72 Failed, w=174\",\"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)=72 Failed, w=174\",\"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)=73 Failed, w=174\",\"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)=82 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=83 Failed, w=174\",\"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)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,17],[0,2,20],[0,3,22],[0,4,96],[0,5,41],[0,6,100],[1,2,99],[1,3,1],[1,4,60],[1,5,58],[1,6,57],[2,3,76],[2,4,6],[2,5,71],[2,6,18],[3,4,59],[3,5,90],[3,6,73],[4,5,58],[4,6,65],[5,6,1]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,20],[0,3,22],[0,4,96],[0,5,41],[0,6,100],[1,2,99],[1,3,1],[1,4,60],[1,5,58],[1,6,57],[2,3,76],[2,4,6],[2,5,71],[2,6,18],[3,4,59],[3,5,90],[3,6,73],[4,5,58],[4,6,65],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,20],[0,3,22],[0,4,96],[0,5,41],[0,6,100],[1,2,99],[1,3,1],[1,4,60],[1,5,58],[1,6,57],[2,3,76],[2,4,6],[2,5,71],[2,6,18],[3,4,59],[3,5,90],[3,6,73],[4,5,58],[4,6,65],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (0,2)\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,20],[0,3,22],[0,4,96],[0,5,41],[0,6,100],[1,2,99],[1,3,1],[1,4,60],[1,5,58],[1,6,57],[2,3,76],[2,4,6],[2,5,71],[2,6,18],[3,4,59],[3,5,90],[3,6,73],[4,5,58],[4,6,65],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (5,6)=1, w=2\",\"Add (2,4)=6, w=8\",\"Add (0,1)=17, w=25\",\"Add (2,6)=18, w=43\",\"Add (0,2)=20, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,20],[0,3,22],[0,4,96],[0,5,41],[0,6,100],[1,2,99],[1,3,1],[1,4,60],[1,5,58],[1,6,57],[2,3,76],[2,4,6],[2,5,71],[2,6,18],[3,4,59],[3,5,90],[3,6,73],[4,5,58],[4,6,65],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (5,6)=1 Succeeded, w=2\",\"Add (2,4)=6 Succeeded, w=8\",\"Add (0,1)=17 Succeeded, w=25\",\"Add (2,6)=18 Succeeded, w=43\",\"Add (0,2)=20 Succeeded, w=63\",\"Add (0,3)=22 Failed, w=63\",\"Add (0,5)=41 Failed, w=63\",\"Add (1,6)=57 Failed, w=63\",\"Add (1,5)=58 Failed, w=63\",\"Add (4,5)=58 Failed, w=63\",\"Add (3,4)=59 Failed, w=63\",\"Add (1,4)=60 Failed, w=63\",\"Add (4,6)=65 Failed, w=63\",\"Add (2,5)=71 Failed, w=63\",\"Add (3,6)=73 Failed, w=63\",\"Add (2,3)=76 Failed, w=63\",\"Add (3,5)=90 Failed, w=63\",\"Add (0,4)=96 Failed, w=63\",\"Add (1,2)=99 Failed, w=63\",\"Add (0,6)=100 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,20],[0,3,22],[0,4,96],[0,5,41],[0,6,100],[1,2,99],[1,3,1],[1,4,60],[1,5,58],[1,6,57],[2,3,76],[2,4,6],[2,5,71],[2,6,18],[3,4,59],[3,5,90],[3,6,73],[4,5,58],[4,6,65],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(5,6)=1,(2,4)=6,(0,1)=17,(2,6)=18,(0,2)=20,(0,3)=22,(0,5)=41,(1,6)=57,(1,5)=58,(4,5)=58,(3,4)=59,(1,4)=60,(4,6)=65,(2,5)=71,(3,6)=73,(2,3)=76,(3,5)=90,(0,4)=96,(1,2)=99,(0,6)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=25\",\"Find(2)=2, Find(6)=5, Add (2,6)=18 Succeeded, w=43\",\"Find(0)=1, Find(2)=2, Add (0,2)=20 Succeeded, w=63\",\"Find(0)=2, Find(3)=2, Add (0,3)=22 Failed, w=63\",\"Find(0)=2, Find(5)=2, Add (0,5)=41 Failed, w=63\",\"Find(1)=2, Find(6)=2, Add (1,6)=57 Failed, w=63\",\"Find(1)=2, Find(5)=2, Add (1,5)=58 Failed, w=63\",\"Find(4)=2, Find(5)=2, Add (4,5)=58 Failed, w=63\",\"Find(3)=2, Find(4)=2, Add (3,4)=59 Failed, w=63\",\"Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=63\",\"Find(4)=2, Find(6)=2, Add (4,6)=65 Failed, w=63\",\"Find(2)=2, Find(5)=2, Add (2,5)=71 Failed, w=63\",\"Find(3)=2, Find(6)=2, Add (3,6)=73 Failed, w=63\",\"Find(2)=2, Find(3)=2, Add (2,3)=76 Failed, w=63\",\"Find(3)=2, Find(5)=2, Add (3,5)=90 Failed, w=63\",\"Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=63\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=63\",\"Find(0)=2, Find(6)=2, Add (0,6)=100 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,20],[0,3,22],[0,4,96],[0,5,41],[0,6,100],[1,2,99],[1,3,1],[1,4,60],[1,5,58],[1,6,57],[2,3,76],[2,4,6],[2,5,71],[2,6,18],[3,4,59],[3,5,90],[3,6,73],[4,5,58],[4,6,65],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(5,6)=1,(2,4)=6,(0,1)=17,(2,6)=18,(0,2)=20,(0,3)=22,(0,5)=41,(1,6)=57,(1,5)=58,(4,5)=58,(3,4)=59,(1,4)=60,(4,6)=65,(2,5)=71,(3,6)=73,(2,3)=76,(3,5)=90,(0,4)=96,(1,2)=99,(0,6)=100]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 5}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=18 Succeeded, w=43\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 5}, Find(0)=1, Find(2)=2, Add (0,2)=20 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(0)=2, Find(3)=2, Add (0,3)=22 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(0)=2, Find(5)=2, Add (0,5)=41 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=57 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=58 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=58 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=59 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=65 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=71 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=73 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=76 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=90 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=100 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,44],[0,3,0],[1,3,32],[2,3,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,44],[0,3,0],[1,3,32],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,44],[0,3,0],[1,3,32],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,44],[0,3,0],[1,3,32],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,3)=32, w=32\",\"Add (0,2)=44, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,44],[0,3,0],[1,3,32],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,3)=32 Succeeded, w=32\",\"Add (0,2)=44 Succeeded, w=76\",\"Add (2,3)=79 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,44],[0,3,0],[1,3,32],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,3)=32,(0,2)=44,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=0, Add (1,3)=32 Succeeded, w=32\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=76\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,44],[0,3,0],[1,3,32],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,3)=32,(0,2)=44,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,47],[0,3,29],[1,2,5],[1,3,4],[2,3,67]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,47],[0,3,29],[1,2,5],[1,3,4],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,47],[0,3,29],[1,2,5],[1,3,4],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,47],[0,3,29],[1,2,5],[1,3,4],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (1,2)=5, w=9\",\"Add (0,3)=29, w=38\"],\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,47],[0,3,29],[1,2,5],[1,3,4],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (1,2)=5 Succeeded, w=9\",\"Add (0,3)=29 Succeeded, w=38\",\"Add (0,1)=44 Failed, w=38\",\"Add (0,2)=47 Failed, w=38\",\"Add (2,3)=67 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,47],[0,3,29],[1,2,5],[1,3,4],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(1,2)=5,(0,3)=29,(0,1)=44,(0,2)=47,(2,3)=67]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Find(0)=0, Find(3)=1, Add (0,3)=29 Succeeded, w=38\",\"Find(0)=1, Find(1)=1, Add (0,1)=44 Failed, w=38\",\"Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=38\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,47],[0,3,29],[1,2,5],[1,3,4],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(1,2)=5,(0,3)=29,(0,1)=44,(0,2)=47,(2,3)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=29 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=44 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,11],[0,3,17],[0,5,56],[0,6,82],[1,2,29],[1,3,93],[1,4,38],[2,4,34],[2,5,11],[2,6,18],[3,4,14],[3,5,80],[3,6,2],[5,6,33]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,3,17],[0,5,56],[0,6,82],[1,2,29],[1,3,93],[1,4,38],[2,4,34],[2,5,11],[2,6,18],[3,4,14],[3,5,80],[3,6,2],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,3,17],[0,5,56],[0,6,82],[1,2,29],[1,3,93],[1,4,38],[2,4,34],[2,5,11],[2,6,18],[3,4,14],[3,5,80],[3,6,2],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (2,6)\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,3,17],[0,5,56],[0,6,82],[1,2,29],[1,3,93],[1,4,38],[2,4,34],[2,5,11],[2,6,18],[3,4,14],[3,5,80],[3,6,2],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (0,1)=11, w=13\",\"Add (2,5)=11, w=24\",\"Add (3,4)=14, w=38\",\"Add (0,3)=17, w=55\",\"Add (2,6)=18, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,3,17],[0,5,56],[0,6,82],[1,2,29],[1,3,93],[1,4,38],[2,4,34],[2,5,11],[2,6,18],[3,4,14],[3,5,80],[3,6,2],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (0,1)=11 Succeeded, w=13\",\"Add (2,5)=11 Succeeded, w=24\",\"Add (3,4)=14 Succeeded, w=38\",\"Add (0,3)=17 Succeeded, w=55\",\"Add (2,6)=18 Succeeded, w=73\",\"Add (1,2)=29 Failed, w=73\",\"Add (5,6)=33 Failed, w=73\",\"Add (2,4)=34 Failed, w=73\",\"Add (1,4)=38 Failed, w=73\",\"Add (0,5)=56 Failed, w=73\",\"Add (3,5)=80 Failed, w=73\",\"Add (0,6)=82 Failed, w=73\",\"Add (1,3)=93 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,3,17],[0,5,56],[0,6,82],[1,2,29],[1,3,93],[1,4,38],[2,4,34],[2,5,11],[2,6,18],[3,4,14],[3,5,80],[3,6,2],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(0,1)=11,(2,5)=11,(3,4)=14,(0,3)=17,(2,6)=18,(1,2)=29,(5,6)=33,(2,4)=34,(1,4)=38,(0,5)=56,(3,5)=80,(0,6)=82,(1,3)=93]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=13\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=24\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=38\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=55\",\"Find(2)=2, Find(6)=0, Add (2,6)=18 Succeeded, w=73\",\"Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=73\",\"Find(5)=0, Find(6)=0, Add (5,6)=33 Failed, w=73\",\"Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=73\",\"Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=73\",\"Find(0)=0, Find(5)=0, Add (0,5)=56 Failed, w=73\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=73\",\"Find(0)=0, Find(6)=0, Add (0,6)=82 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,3,17],[0,5,56],[0,6,82],[1,2,29],[1,3,93],[1,4,38],[2,4,34],[2,5,11],[2,6,18],[3,4,14],[3,5,80],[3,6,2],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(0,1)=11,(2,5)=11,(3,4)=14,(0,3)=17,(2,6)=18,(1,2)=29,(5,6)=33,(2,4)=34,(1,4)=38,(0,5)=56,(3,5)=80,(0,6)=82,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 2, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=18 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=29 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=33 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=56 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=82 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,53],[0,4,51],[1,2,27],[1,3,72],[1,4,36],[2,3,23],[2,4,3],[3,4,77]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,53],[0,4,51],[1,2,27],[1,3,72],[1,4,36],[2,3,23],[2,4,3],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,53],[0,4,51],[1,2,27],[1,3,72],[1,4,36],[2,3,23],[2,4,3],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,53],[0,4,51],[1,2,27],[1,3,72],[1,4,36],[2,3,23],[2,4,3],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (2,3)=23, w=26\",\"Add (1,2)=27, w=53\",\"Add (0,1)=32, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,53],[0,4,51],[1,2,27],[1,3,72],[1,4,36],[2,3,23],[2,4,3],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (2,3)=23 Succeeded, w=26\",\"Add (1,2)=27 Succeeded, w=53\",\"Add (0,1)=32 Succeeded, w=85\",\"Add (1,4)=36 Failed, w=85\",\"Add (0,4)=51 Failed, w=85\",\"Add (0,2)=53 Failed, w=85\",\"Add (1,3)=72 Failed, w=85\",\"Add (3,4)=77 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,53],[0,4,51],[1,2,27],[1,3,72],[1,4,36],[2,3,23],[2,4,3],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(2,3)=23,(1,2)=27,(0,1)=32,(1,4)=36,(0,4)=51,(0,2)=53,(1,3)=72,(3,4)=77]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=53\",\"Find(0)=0, Find(1)=2, Add (0,1)=32 Succeeded, w=85\",\"Find(1)=2, Find(4)=2, Add (1,4)=36 Failed, w=85\",\"Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=85\",\"Find(0)=2, Find(2)=2, Add (0,2)=53 Failed, w=85\",\"Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=85\",\"Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,53],[0,4,51],[1,2,27],[1,3,72],[1,4,36],[2,3,23],[2,4,3],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(2,3)=23,(1,2)=27,(0,1)=32,(1,4)=36,(0,4)=51,(0,2)=53,(1,3)=72,(3,4)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=26\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=32 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=36 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=53 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,98],[0,2,56],[0,3,97],[0,4,79],[0,5,77],[1,2,15],[1,3,10],[1,5,7],[2,4,86],[2,6,46],[2,7,89],[3,5,67],[3,6,50],[4,6,43],[5,7,1],[6,7,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,56],[0,3,97],[0,4,79],[0,5,77],[1,2,15],[1,3,10],[1,5,7],[2,4,86],[2,6,46],[2,7,89],[3,5,67],[3,6,50],[4,6,43],[5,7,1],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,56],[0,3,97],[0,4,79],[0,5,77],[1,2,15],[1,3,10],[1,5,7],[2,4,86],[2,6,46],[2,7,89],[3,5,67],[3,6,50],[4,6,43],[5,7,1],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (6,7)\",\"Add (4,6)\",\"Add (0,2)\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,56],[0,3,97],[0,4,79],[0,5,77],[1,2,15],[1,3,10],[1,5,7],[2,4,86],[2,6,46],[2,7,89],[3,5,67],[3,6,50],[4,6,43],[5,7,1],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=1, w=1\",\"Add (1,5)=7, w=8\",\"Add (1,3)=10, w=18\",\"Add (1,2)=15, w=33\",\"Add (6,7)=34, w=67\",\"Add (4,6)=43, w=110\",\"Add (0,2)=56, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,56],[0,3,97],[0,4,79],[0,5,77],[1,2,15],[1,3,10],[1,5,7],[2,4,86],[2,6,46],[2,7,89],[3,5,67],[3,6,50],[4,6,43],[5,7,1],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=1 Succeeded, w=1\",\"Add (1,5)=7 Succeeded, w=8\",\"Add (1,3)=10 Succeeded, w=18\",\"Add (1,2)=15 Succeeded, w=33\",\"Add (6,7)=34 Succeeded, w=67\",\"Add (4,6)=43 Succeeded, w=110\",\"Add (2,6)=46 Failed, w=110\",\"Add (3,6)=50 Failed, w=110\",\"Add (0,2)=56 Succeeded, w=166\",\"Add (3,5)=67 Failed, w=166\",\"Add (0,5)=77 Failed, w=166\",\"Add (0,4)=79 Failed, w=166\",\"Add (2,4)=86 Failed, w=166\",\"Add (2,7)=89 Failed, w=166\",\"Add (0,3)=97 Failed, w=166\",\"Add (0,1)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,56],[0,3,97],[0,4,79],[0,5,77],[1,2,15],[1,3,10],[1,5,7],[2,4,86],[2,6,46],[2,7,89],[3,5,67],[3,6,50],[4,6,43],[5,7,1],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=1,(1,5)=7,(1,3)=10,(1,2)=15,(6,7)=34,(4,6)=43,(2,6)=46,(3,6)=50,(0,2)=56,(3,5)=67,(0,5)=77,(0,4)=79,(2,4)=86,(2,7)=89,(0,3)=97,(0,1)=98]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=8\",\"Find(1)=5, Find(3)=3, Add (1,3)=10 Succeeded, w=18\",\"Find(1)=5, Find(2)=2, Add (1,2)=15 Succeeded, w=33\",\"Find(6)=6, Find(7)=5, Add (6,7)=34 Succeeded, w=67\",\"Find(4)=4, Find(6)=5, Add (4,6)=43 Succeeded, w=110\",\"Find(2)=5, Find(6)=5, Add (2,6)=46 Failed, w=110\",\"Find(3)=5, Find(6)=5, Add (3,6)=50 Failed, w=110\",\"Find(0)=0, Find(2)=5, Add (0,2)=56 Succeeded, w=166\",\"Find(3)=5, Find(5)=5, Add (3,5)=67 Failed, w=166\",\"Find(0)=5, Find(5)=5, Add (0,5)=77 Failed, w=166\",\"Find(0)=5, Find(4)=5, Add (0,4)=79 Failed, w=166\",\"Find(2)=5, Find(4)=5, Add (2,4)=86 Failed, w=166\",\"Find(2)=5, Find(7)=5, Add (2,7)=89 Failed, w=166\",\"Find(0)=5, Find(3)=5, Add (0,3)=97 Failed, w=166\",\"Find(0)=5, Find(1)=5, Add (0,1)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,2,56],[0,3,97],[0,4,79],[0,5,77],[1,2,15],[1,3,10],[1,5,7],[2,4,86],[2,6,46],[2,7,89],[3,5,67],[3,6,50],[4,6,43],[5,7,1],[6,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=1,(1,5)=7,(1,3)=10,(1,2)=15,(6,7)=34,(4,6)=43,(2,6)=46,(3,6)=50,(0,2)=56,(3,5)=67,(0,5)=77,(0,4)=79,(2,4)=86,(2,7)=89,(0,3)=97,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=5, Find(3)=3, Add (1,3)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=5, Find(2)=2, Add (1,2)=15 Succeeded, w=33\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(6)=6, Find(7)=5, Add (6,7)=34 Succeeded, w=67\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=4, Find(6)=5, Add (4,6)=43 Succeeded, w=110\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=46 Failed, w=110\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=50 Failed, w=110\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(2)=5, Add (0,2)=56 Succeeded, w=166\",\"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)=67 Failed, w=166\",\"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)=77 Failed, w=166\",\"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)=79 Failed, w=166\",\"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)=86 Failed, w=166\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=89 Failed, w=166\",\"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)=97 Failed, w=166\",\"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)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,78],[0,3,17],[0,4,65],[0,5,23],[0,6,82],[1,2,53],[1,5,80],[1,6,26],[1,7,73],[2,4,69],[2,6,73],[2,7,2],[3,5,65],[3,6,17],[4,5,60],[4,6,76],[5,6,13],[5,7,85],[6,7,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,3,17],[0,4,65],[0,5,23],[0,6,82],[1,2,53],[1,5,80],[1,6,26],[1,7,73],[2,4,69],[2,6,73],[2,7,2],[3,5,65],[3,6,17],[4,5,60],[4,6,76],[5,6,13],[5,7,85],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,3,17],[0,4,65],[0,5,23],[0,6,82],[1,2,53],[1,5,80],[1,6,26],[1,7,73],[2,4,69],[2,6,73],[2,7,2],[3,5,65],[3,6,17],[4,5,60],[4,6,76],[5,6,13],[5,7,85],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (4,5)\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,3,17],[0,4,65],[0,5,23],[0,6,82],[1,2,53],[1,5,80],[1,6,26],[1,7,73],[2,4,69],[2,6,73],[2,7,2],[3,5,65],[3,6,17],[4,5,60],[4,6,76],[5,6,13],[5,7,85],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=2, w=2\",\"Add (5,6)=13, w=15\",\"Add (0,3)=17, w=32\",\"Add (3,6)=17, w=49\",\"Add (1,6)=26, w=75\",\"Add (1,2)=53, w=128\",\"Add (4,5)=60, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,3,17],[0,4,65],[0,5,23],[0,6,82],[1,2,53],[1,5,80],[1,6,26],[1,7,73],[2,4,69],[2,6,73],[2,7,2],[3,5,65],[3,6,17],[4,5,60],[4,6,76],[5,6,13],[5,7,85],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=2 Succeeded, w=2\",\"Add (5,6)=13 Succeeded, w=15\",\"Add (0,3)=17 Succeeded, w=32\",\"Add (3,6)=17 Succeeded, w=49\",\"Add (0,5)=23 Failed, w=49\",\"Add (1,6)=26 Succeeded, w=75\",\"Add (1,2)=53 Succeeded, w=128\",\"Add (4,5)=60 Succeeded, w=188\",\"Add (0,4)=65 Failed, w=188\",\"Add (3,5)=65 Failed, w=188\",\"Add (2,4)=69 Failed, w=188\",\"Add (6,7)=69 Failed, w=188\",\"Add (1,7)=73 Failed, w=188\",\"Add (2,6)=73 Failed, w=188\",\"Add (4,6)=76 Failed, w=188\",\"Add (0,2)=78 Failed, w=188\",\"Add (1,5)=80 Failed, w=188\",\"Add (0,6)=82 Failed, w=188\",\"Add (5,7)=85 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,3,17],[0,4,65],[0,5,23],[0,6,82],[1,2,53],[1,5,80],[1,6,26],[1,7,73],[2,4,69],[2,6,73],[2,7,2],[3,5,65],[3,6,17],[4,5,60],[4,6,76],[5,6,13],[5,7,85],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=2,(5,6)=13,(0,3)=17,(3,6)=17,(0,5)=23,(1,6)=26,(1,2)=53,(4,5)=60,(0,4)=65,(3,5)=65,(2,4)=69,(6,7)=69,(1,7)=73,(2,6)=73,(4,6)=76,(0,2)=78,(1,5)=80,(0,6)=82,(5,7)=85]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=15\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=32\",\"Find(3)=0, Find(6)=5, Add (3,6)=17 Succeeded, w=49\",\"Find(0)=0, Find(5)=0, Add (0,5)=23 Failed, w=49\",\"Find(1)=1, Find(6)=0, Add (1,6)=26 Succeeded, w=75\",\"Find(1)=0, Find(2)=2, Add (1,2)=53 Succeeded, w=128\",\"Find(4)=4, Find(5)=0, Add (4,5)=60 Succeeded, w=188\",\"Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=188\",\"Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=188\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=188\",\"Find(6)=0, Find(7)=0, Add (6,7)=69 Failed, w=188\",\"Find(1)=0, Find(7)=0, Add (1,7)=73 Failed, w=188\",\"Find(2)=0, Find(6)=0, Add (2,6)=73 Failed, w=188\",\"Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=188\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=188\",\"Find(1)=0, Find(5)=0, Add (1,5)=80 Failed, w=188\",\"Find(0)=0, Find(6)=0, Add (0,6)=82 Failed, w=188\",\"Find(5)=0, Find(7)=0, Add (5,7)=85 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,3,17],[0,4,65],[0,5,23],[0,6,82],[1,2,53],[1,5,80],[1,6,26],[1,7,73],[2,4,69],[2,6,73],[2,7,2],[3,5,65],[3,6,17],[4,5,60],[4,6,76],[5,6,13],[5,7,85],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=2,(5,6)=13,(0,3)=17,(3,6)=17,(0,5)=23,(1,6)=26,(1,2)=53,(4,5)=60,(0,4)=65,(3,5)=65,(2,4)=69,(6,7)=69,(1,7)=73,(2,6)=73,(4,6)=76,(0,2)=78,(1,5)=80,(0,6)=82,(5,7)=85]\",\"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)=2 Succeeded, w=2\",\"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)=13 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 5, 7: 2}, Find(3)=0, Find(6)=5, Add (3,6)=17 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 5, 7: 2}, Find(0)=0, Find(5)=0, Add (0,5)=23 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 2}, Find(1)=1, Find(6)=0, Add (1,6)=26 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(2)=2, Add (1,2)=53 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(4)=4, Find(5)=0, Add (4,5)=60 Succeeded, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=69 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=73 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=73 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=188\",\"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)=80 Failed, w=188\",\"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)=82 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=85 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,3],[0,2,25],[0,3,91],[0,4,25],[0,5,45],[0,6,47],[1,2,11],[1,3,73],[1,4,75],[1,5,25],[2,4,46],[3,4,23],[3,5,19],[4,5,50],[5,6,61]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,25],[0,3,91],[0,4,25],[0,5,45],[0,6,47],[1,2,11],[1,3,73],[1,4,75],[1,5,25],[2,4,46],[3,4,23],[3,5,19],[4,5,50],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,25],[0,3,91],[0,4,25],[0,5,45],[0,6,47],[1,2,11],[1,3,73],[1,4,75],[1,5,25],[2,4,46],[3,4,23],[3,5,19],[4,5,50],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (0,6)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,25],[0,3,91],[0,4,25],[0,5,45],[0,6,47],[1,2,11],[1,3,73],[1,4,75],[1,5,25],[2,4,46],[3,4,23],[3,5,19],[4,5,50],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (1,2)=11, w=14\",\"Add (3,5)=19, w=33\",\"Add (3,4)=23, w=56\",\"Add (0,4)=25, w=81\",\"Add (0,6)=47, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,25],[0,3,91],[0,4,25],[0,5,45],[0,6,47],[1,2,11],[1,3,73],[1,4,75],[1,5,25],[2,4,46],[3,4,23],[3,5,19],[4,5,50],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,2)=11 Succeeded, w=14\",\"Add (3,5)=19 Succeeded, w=33\",\"Add (3,4)=23 Succeeded, w=56\",\"Add (0,2)=25 Failed, w=56\",\"Add (0,4)=25 Succeeded, w=81\",\"Add (1,5)=25 Failed, w=81\",\"Add (0,5)=45 Failed, w=81\",\"Add (2,4)=46 Failed, w=81\",\"Add (0,6)=47 Succeeded, w=128\",\"Add (4,5)=50 Failed, w=128\",\"Add (5,6)=61 Failed, w=128\",\"Add (1,3)=73 Failed, w=128\",\"Add (1,4)=75 Failed, w=128\",\"Add (0,3)=91 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,25],[0,3,91],[0,4,25],[0,5,45],[0,6,47],[1,2,11],[1,3,73],[1,4,75],[1,5,25],[2,4,46],[3,4,23],[3,5,19],[4,5,50],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,2)=11,(3,5)=19,(3,4)=23,(0,2)=25,(0,4)=25,(1,5)=25,(0,5)=45,(2,4)=46,(0,6)=47,(4,5)=50,(5,6)=61,(1,3)=73,(1,4)=75,(0,3)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=14\",\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=33\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=56\",\"Find(0)=0, Find(2)=0, Add (0,2)=25 Failed, w=56\",\"Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=81\",\"Find(1)=0, Find(5)=0, Add (1,5)=25 Failed, w=81\",\"Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=81\",\"Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=81\",\"Find(0)=0, Find(6)=6, Add (0,6)=47 Succeeded, w=128\",\"Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=128\",\"Find(5)=0, Find(6)=0, Add (5,6)=61 Failed, w=128\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=128\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=128\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,25],[0,3,91],[0,4,25],[0,5,45],[0,6,47],[1,2,11],[1,3,73],[1,4,75],[1,5,25],[2,4,46],[3,4,23],[3,5,19],[4,5,50],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,2)=11,(3,5)=19,(3,4)=23,(0,2)=25,(0,4)=25,(1,5)=25,(0,5)=45,(2,4)=46,(0,6)=47,(4,5)=50,(5,6)=61,(1,3)=73,(1,4)=75,(0,3)=91]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(2)=0, Add (0,2)=25 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=25 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=47 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=61 Failed, w=128\",\"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=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,2,55],[0,3,43],[1,2,65],[1,3,20]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,55],[0,3,43],[1,2,65],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,55],[0,3,43],[1,2,65],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,55],[0,3,43],[1,2,65],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\",\"Add (1,3)=20, w=33\",\"Add (0,2)=55, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,55],[0,3,43],[1,2,65],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\",\"Add (1,3)=20 Succeeded, w=33\",\"Add (0,3)=43 Failed, w=33\",\"Add (0,2)=55 Succeeded, w=88\",\"Add (1,2)=65 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,55],[0,3,43],[1,2,65],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(1,3)=20,(0,3)=43,(0,2)=55,(1,2)=65]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=33\",\"Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=33\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,55],[0,3,43],[1,2,65],[1,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(1,3)=20,(0,3)=43,(0,2)=55,(1,2)=65]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,43],[0,3,48],[0,4,65],[1,3,24],[2,3,58],[2,4,34],[3,4,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,48],[0,4,65],[1,3,24],[2,3,58],[2,4,34],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,48],[0,4,65],[1,3,24],[2,3,58],[2,4,34],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,48],[0,4,65],[1,3,24],[2,3,58],[2,4,34],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (2,4)=34, w=58\",\"Add (0,2)=43, w=101\",\"Add (0,3)=48, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,48],[0,4,65],[1,3,24],[2,3,58],[2,4,34],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (2,4)=34 Succeeded, w=58\",\"Add (0,2)=43 Succeeded, w=101\",\"Add (0,3)=48 Succeeded, w=149\",\"Add (2,3)=58 Failed, w=149\",\"Add (0,4)=65 Failed, w=149\",\"Add (3,4)=85 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,48],[0,4,65],[1,3,24],[2,3,58],[2,4,34],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(2,4)=34,(0,2)=43,(0,3)=48,(2,3)=58,(0,4)=65,(3,4)=85]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=58\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=101\",\"Find(0)=2, Find(3)=1, Add (0,3)=48 Succeeded, w=149\",\"Find(2)=2, Find(3)=2, Add (2,3)=58 Failed, w=149\",\"Find(0)=2, Find(4)=2, Add (0,4)=65 Failed, w=149\",\"Find(3)=2, Find(4)=2, Add (3,4)=85 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,48],[0,4,65],[1,3,24],[2,3,58],[2,4,34],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(2,4)=34,(0,2)=43,(0,3)=48,(2,3)=58,(0,4)=65,(3,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(0)=2, Find(3)=1, Add (0,3)=48 Succeeded, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=58 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=65 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=85 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,11],[0,2,81],[0,3,65],[0,4,54],[0,5,62],[0,6,96],[1,4,36],[1,5,85],[1,6,44],[2,3,25],[2,4,81],[2,6,45],[3,4,34],[3,5,64],[3,6,62],[4,5,53]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,81],[0,3,65],[0,4,54],[0,5,62],[0,6,96],[1,4,36],[1,5,85],[1,6,44],[2,3,25],[2,4,81],[2,6,45],[3,4,34],[3,5,64],[3,6,62],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,81],[0,3,65],[0,4,54],[0,5,62],[0,6,96],[1,4,36],[1,5,85],[1,6,44],[2,3,25],[2,4,81],[2,6,45],[3,4,34],[3,5,64],[3,6,62],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (4,5)\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,81],[0,3,65],[0,4,54],[0,5,62],[0,6,96],[1,4,36],[1,5,85],[1,6,44],[2,3,25],[2,4,81],[2,6,45],[3,4,34],[3,5,64],[3,6,62],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (2,3)=25, w=36\",\"Add (3,4)=34, w=70\",\"Add (1,4)=36, w=106\",\"Add (1,6)=44, w=150\",\"Add (4,5)=53, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,81],[0,3,65],[0,4,54],[0,5,62],[0,6,96],[1,4,36],[1,5,85],[1,6,44],[2,3,25],[2,4,81],[2,6,45],[3,4,34],[3,5,64],[3,6,62],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (2,3)=25 Succeeded, w=36\",\"Add (3,4)=34 Succeeded, w=70\",\"Add (1,4)=36 Succeeded, w=106\",\"Add (1,6)=44 Succeeded, w=150\",\"Add (2,6)=45 Failed, w=150\",\"Add (4,5)=53 Succeeded, w=203\",\"Add (0,4)=54 Failed, w=203\",\"Add (0,5)=62 Failed, w=203\",\"Add (3,6)=62 Failed, w=203\",\"Add (3,5)=64 Failed, w=203\",\"Add (0,3)=65 Failed, w=203\",\"Add (0,2)=81 Failed, w=203\",\"Add (2,4)=81 Failed, w=203\",\"Add (1,5)=85 Failed, w=203\",\"Add (0,6)=96 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,81],[0,3,65],[0,4,54],[0,5,62],[0,6,96],[1,4,36],[1,5,85],[1,6,44],[2,3,25],[2,4,81],[2,6,45],[3,4,34],[3,5,64],[3,6,62],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(2,3)=25,(3,4)=34,(1,4)=36,(1,6)=44,(2,6)=45,(4,5)=53,(0,4)=54,(0,5)=62,(3,6)=62,(3,5)=64,(0,3)=65,(0,2)=81,(2,4)=81,(1,5)=85,(0,6)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=36\",\"Find(3)=2, Find(4)=4, Add (3,4)=34 Succeeded, w=70\",\"Find(1)=0, Find(4)=2, Add (1,4)=36 Succeeded, w=106\",\"Find(1)=0, Find(6)=6, Add (1,6)=44 Succeeded, w=150\",\"Find(2)=0, Find(6)=0, Add (2,6)=45 Failed, w=150\",\"Find(4)=0, Find(5)=5, Add (4,5)=53 Succeeded, w=203\",\"Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=203\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=203\",\"Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=203\",\"Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=203\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=203\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=203\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=203\",\"Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=203\",\"Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,81],[0,3,65],[0,4,54],[0,5,62],[0,6,96],[1,4,36],[1,5,85],[1,6,44],[2,3,25],[2,4,81],[2,6,45],[3,4,34],[3,5,64],[3,6,62],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(2,3)=25,(3,4)=34,(1,4)=36,(1,6)=44,(2,6)=45,(4,5)=53,(0,4)=54,(0,5)=62,(3,6)=62,(3,5)=64,(0,3)=65,(0,2)=81,(2,4)=81,(1,5)=85,(0,6)=96]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=2, Find(4)=4, Add (3,4)=34 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=0, Find(4)=2, Add (1,4)=36 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=44 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=45 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=53 Succeeded, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,35],[0,2,18],[0,3,17],[0,4,21],[0,5,19],[0,6,41],[0,7,45],[1,2,5],[1,6,91],[2,3,64],[2,5,23],[2,6,66],[3,4,86],[3,5,80],[3,6,100],[4,7,35],[5,6,97],[5,7,38],[6,7,28]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,18],[0,3,17],[0,4,21],[0,5,19],[0,6,41],[0,7,45],[1,2,5],[1,6,91],[2,3,64],[2,5,23],[2,6,66],[3,4,86],[3,5,80],[3,6,100],[4,7,35],[5,6,97],[5,7,38],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,18],[0,3,17],[0,4,21],[0,5,19],[0,6,41],[0,7,45],[1,2,5],[1,6,91],[2,3,64],[2,5,23],[2,6,66],[3,4,86],[3,5,80],[3,6,100],[4,7,35],[5,6,97],[5,7,38],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (6,7)\",\"Add (4,7)\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,18],[0,3,17],[0,4,21],[0,5,19],[0,6,41],[0,7,45],[1,2,5],[1,6,91],[2,3,64],[2,5,23],[2,6,66],[3,4,86],[3,5,80],[3,6,100],[4,7,35],[5,6,97],[5,7,38],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (0,3)=17, w=22\",\"Add (0,2)=18, w=40\",\"Add (0,5)=19, w=59\",\"Add (0,4)=21, w=80\",\"Add (6,7)=28, w=108\",\"Add (4,7)=35, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,18],[0,3,17],[0,4,21],[0,5,19],[0,6,41],[0,7,45],[1,2,5],[1,6,91],[2,3,64],[2,5,23],[2,6,66],[3,4,86],[3,5,80],[3,6,100],[4,7,35],[5,6,97],[5,7,38],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (0,3)=17 Succeeded, w=22\",\"Add (0,2)=18 Succeeded, w=40\",\"Add (0,5)=19 Succeeded, w=59\",\"Add (0,4)=21 Succeeded, w=80\",\"Add (2,5)=23 Failed, w=80\",\"Add (6,7)=28 Succeeded, w=108\",\"Add (0,1)=35 Failed, w=108\",\"Add (4,7)=35 Succeeded, w=143\",\"Add (5,7)=38 Failed, w=143\",\"Add (0,6)=41 Failed, w=143\",\"Add (0,7)=45 Failed, w=143\",\"Add (2,3)=64 Failed, w=143\",\"Add (2,6)=66 Failed, w=143\",\"Add (3,5)=80 Failed, w=143\",\"Add (3,4)=86 Failed, w=143\",\"Add (1,6)=91 Failed, w=143\",\"Add (5,6)=97 Failed, w=143\",\"Add (3,6)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,18],[0,3,17],[0,4,21],[0,5,19],[0,6,41],[0,7,45],[1,2,5],[1,6,91],[2,3,64],[2,5,23],[2,6,66],[3,4,86],[3,5,80],[3,6,100],[4,7,35],[5,6,97],[5,7,38],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,3)=17,(0,2)=18,(0,5)=19,(0,4)=21,(2,5)=23,(6,7)=28,(0,1)=35,(4,7)=35,(5,7)=38,(0,6)=41,(0,7)=45,(2,3)=64,(2,6)=66,(3,5)=80,(3,4)=86,(1,6)=91,(5,6)=97,(3,6)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=22\",\"Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=40\",\"Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=59\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=80\",\"Find(2)=0, Find(5)=0, Add (2,5)=23 Failed, w=80\",\"Find(6)=6, Find(7)=7, Add (6,7)=28 Succeeded, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=108\",\"Find(4)=0, Find(7)=6, Add (4,7)=35 Succeeded, w=143\",\"Find(5)=0, Find(7)=0, Add (5,7)=38 Failed, w=143\",\"Find(0)=0, Find(6)=0, Add (0,6)=41 Failed, w=143\",\"Find(0)=0, Find(7)=0, Add (0,7)=45 Failed, w=143\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=143\",\"Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=143\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=143\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=143\",\"Find(1)=0, Find(6)=0, Add (1,6)=91 Failed, w=143\",\"Find(5)=0, Find(6)=0, Add (5,6)=97 Failed, w=143\",\"Find(3)=0, Find(6)=0, Add (3,6)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,18],[0,3,17],[0,4,21],[0,5,19],[0,6,41],[0,7,45],[1,2,5],[1,6,91],[2,3,64],[2,5,23],[2,6,66],[3,4,86],[3,5,80],[3,6,100],[4,7,35],[5,6,97],[5,7,38],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,3)=17,(0,2)=18,(0,5)=19,(0,4)=21,(2,5)=23,(6,7)=28,(0,1)=35,(4,7)=35,(5,7)=38,(0,6)=41,(0,7)=45,(2,3)=64,(2,6)=66,(3,5)=80,(3,4)=86,(1,6)=91,(5,6)=97,(3,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=23 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=28 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 6}, Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(4)=0, Find(7)=6, Add (4,7)=35 Succeeded, w=143\",\"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)=38 Failed, w=143\",\"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)=41 Failed, w=143\",\"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)=45 Failed, w=143\",\"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)=64 Failed, w=143\",\"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)=66 Failed, w=143\",\"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)=80 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=143\",\"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)=91 Failed, w=143\",\"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)=97 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,7],[0,4,57],[0,6,15],[0,7,2],[1,3,21],[1,4,47],[2,4,13],[2,5,37],[2,6,36],[3,4,29],[3,5,91],[3,6,41],[3,7,71],[4,5,93],[5,6,2],[5,7,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,7],[0,4,57],[0,6,15],[0,7,2],[1,3,21],[1,4,47],[2,4,13],[2,5,37],[2,6,36],[3,4,29],[3,5,91],[3,6,41],[3,7,71],[4,5,93],[5,6,2],[5,7,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,7],[0,4,57],[0,6,15],[0,7,2],[1,3,21],[1,4,47],[2,4,13],[2,5,37],[2,6,36],[3,4,29],[3,5,91],[3,6,41],[3,7,71],[4,5,93],[5,6,2],[5,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,7],[0,4,57],[0,6,15],[0,7,2],[1,3,21],[1,4,47],[2,4,13],[2,5,37],[2,6,36],[3,4,29],[3,5,91],[3,6,41],[3,7,71],[4,5,93],[5,6,2],[5,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=2, w=2\",\"Add (5,6)=2, w=4\",\"Add (0,3)=7, w=11\",\"Add (2,4)=13, w=24\",\"Add (0,6)=15, w=39\",\"Add (1,3)=21, w=60\",\"Add (3,4)=29, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,7],[0,4,57],[0,6,15],[0,7,2],[1,3,21],[1,4,47],[2,4,13],[2,5,37],[2,6,36],[3,4,29],[3,5,91],[3,6,41],[3,7,71],[4,5,93],[5,6,2],[5,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=2 Succeeded, w=2\",\"Add (5,6)=2 Succeeded, w=4\",\"Add (0,3)=7 Succeeded, w=11\",\"Add (2,4)=13 Succeeded, w=24\",\"Add (0,6)=15 Succeeded, w=39\",\"Add (1,3)=21 Succeeded, w=60\",\"Add (3,4)=29 Succeeded, w=89\",\"Add (2,6)=36 Failed, w=89\",\"Add (2,5)=37 Failed, w=89\",\"Add (3,6)=41 Failed, w=89\",\"Add (1,4)=47 Failed, w=89\",\"Add (0,4)=57 Failed, w=89\",\"Add (5,7)=63 Failed, w=89\",\"Add (3,7)=71 Failed, w=89\",\"Add (3,5)=91 Failed, w=89\",\"Add (4,5)=93 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,7],[0,4,57],[0,6,15],[0,7,2],[1,3,21],[1,4,47],[2,4,13],[2,5,37],[2,6,36],[3,4,29],[3,5,91],[3,6,41],[3,7,71],[4,5,93],[5,6,2],[5,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=2,(5,6)=2,(0,3)=7,(2,4)=13,(0,6)=15,(1,3)=21,(3,4)=29,(2,6)=36,(2,5)=37,(3,6)=41,(1,4)=47,(0,4)=57,(5,7)=63,(3,7)=71,(3,5)=91,(4,5)=93]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=24\",\"Find(0)=0, Find(6)=5, Add (0,6)=15 Succeeded, w=39\",\"Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=60\",\"Find(3)=0, Find(4)=2, Add (3,4)=29 Succeeded, w=89\",\"Find(2)=0, Find(6)=0, Add (2,6)=36 Failed, w=89\",\"Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=89\",\"Find(3)=0, Find(6)=0, Add (3,6)=41 Failed, w=89\",\"Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=89\",\"Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=89\",\"Find(5)=0, Find(7)=0, Add (5,7)=63 Failed, w=89\",\"Find(3)=0, Find(7)=0, Add (3,7)=71 Failed, w=89\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=89\",\"Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,7],[0,4,57],[0,6,15],[0,7,2],[1,3,21],[1,4,47],[2,4,13],[2,5,37],[2,6,36],[3,4,29],[3,5,91],[3,6,41],[3,7,71],[4,5,93],[5,6,2],[5,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=2,(5,6)=2,(0,3)=7,(2,4)=13,(0,6)=15,(1,3)=21,(3,4)=29,(2,6)=36,(2,5)=37,(3,6)=41,(1,4)=47,(0,4)=57,(5,7)=63,(3,7)=71,(3,5)=91,(4,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 5, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(6)=5, Add (0,6)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 5, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 5, 7: 0}, Find(3)=0, Find(4)=2, Add (3,4)=29 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=36 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=41 Failed, w=89\",\"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)=47 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=63 Failed, w=89\",\"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)=71 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=89\",\"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)=93 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,91],[0,3,10],[0,4,4],[1,2,35],[1,3,20],[1,4,44],[2,3,5],[2,4,2],[3,4,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,91],[0,3,10],[0,4,4],[1,2,35],[1,3,20],[1,4,44],[2,3,5],[2,4,2],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":31}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,91],[0,3,10],[0,4,4],[1,2,35],[1,3,20],[1,4,44],[2,3,5],[2,4,2],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":31}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,91],[0,3,10],[0,4,4],[1,2,35],[1,3,20],[1,4,44],[2,3,5],[2,4,2],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,4)=4, w=6\",\"Add (2,3)=5, w=11\",\"Add (1,3)=20, w=31\"],\"Answer\":31}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,91],[0,3,10],[0,4,4],[1,2,35],[1,3,20],[1,4,44],[2,3,5],[2,4,2],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,4)=4 Succeeded, w=6\",\"Add (2,3)=5 Succeeded, w=11\",\"Add (0,3)=10 Failed, w=11\",\"Add (1,3)=20 Succeeded, w=31\",\"Add (1,2)=35 Failed, w=31\",\"Add (0,1)=39 Failed, w=31\",\"Add (1,4)=44 Failed, w=31\",\"Add (0,2)=91 Failed, w=31\",\"Add (3,4)=91 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,91],[0,3,10],[0,4,4],[1,2,35],[1,3,20],[1,4,44],[2,3,5],[2,4,2],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=4,(2,3)=5,(0,3)=10,(1,3)=20,(1,2)=35,(0,1)=39,(1,4)=44,(0,2)=91,(3,4)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=2, Add (0,4)=4 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=11\",\"Find(0)=2, Find(3)=2, Add (0,3)=10 Failed, w=11\",\"Find(1)=1, Find(3)=2, Add (1,3)=20 Succeeded, w=31\",\"Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=31\",\"Find(0)=2, Find(1)=2, Add (0,1)=39 Failed, w=31\",\"Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=31\",\"Find(0)=2, Find(2)=2, Add (0,2)=91 Failed, w=31\",\"Find(3)=2, Find(4)=2, Add (3,4)=91 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,91],[0,3,10],[0,4,4],[1,2,35],[1,3,20],[1,4,44],[2,3,5],[2,4,2],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=4,(2,3)=5,(0,3)=10,(1,3)=20,(1,2)=35,(0,1)=39,(1,4)=44,(0,2)=91,(3,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=4 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=10 Failed, w=11\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=20 Succeeded, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=35 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=39 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=91 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=91 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,96],[0,2,11],[0,3,19],[0,4,25],[0,5,21],[0,6,24],[1,2,8],[1,3,67],[1,4,69],[1,5,26],[1,6,53],[1,7,15],[2,4,97],[2,6,84],[2,7,71],[3,4,23],[3,5,20],[3,6,61],[3,7,38],[4,5,0],[4,6,12],[4,7,20],[5,6,30],[5,7,94],[6,7,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,11],[0,3,19],[0,4,25],[0,5,21],[0,6,24],[1,2,8],[1,3,67],[1,4,69],[1,5,26],[1,6,53],[1,7,15],[2,4,97],[2,6,84],[2,7,71],[3,4,23],[3,5,20],[3,6,61],[3,7,38],[4,5,0],[4,6,12],[4,7,20],[5,6,30],[5,7,94],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,11],[0,3,19],[0,4,25],[0,5,21],[0,6,24],[1,2,8],[1,3,67],[1,4,69],[1,5,26],[1,6,53],[1,7,15],[2,4,97],[2,6,84],[2,7,71],[3,4,23],[3,5,20],[3,6,61],[3,7,38],[4,5,0],[4,6,12],[4,7,20],[5,6,30],[5,7,94],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (1,7)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,11],[0,3,19],[0,4,25],[0,5,21],[0,6,24],[1,2,8],[1,3,67],[1,4,69],[1,5,26],[1,6,53],[1,7,15],[2,4,97],[2,6,84],[2,7,71],[3,4,23],[3,5,20],[3,6,61],[3,7,38],[4,5,0],[4,6,12],[4,7,20],[5,6,30],[5,7,94],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (1,2)=8, w=8\",\"Add (0,2)=11, w=19\",\"Add (4,6)=12, w=31\",\"Add (1,7)=15, w=46\",\"Add (0,3)=19, w=65\",\"Add (3,5)=20, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,11],[0,3,19],[0,4,25],[0,5,21],[0,6,24],[1,2,8],[1,3,67],[1,4,69],[1,5,26],[1,6,53],[1,7,15],[2,4,97],[2,6,84],[2,7,71],[3,4,23],[3,5,20],[3,6,61],[3,7,38],[4,5,0],[4,6,12],[4,7,20],[5,6,30],[5,7,94],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (1,2)=8 Succeeded, w=8\",\"Add (0,2)=11 Succeeded, w=19\",\"Add (4,6)=12 Succeeded, w=31\",\"Add (1,7)=15 Succeeded, w=46\",\"Add (0,3)=19 Succeeded, w=65\",\"Add (3,5)=20 Succeeded, w=85\",\"Add (4,7)=20 Failed, w=85\",\"Add (0,5)=21 Failed, w=85\",\"Add (3,4)=23 Failed, w=85\",\"Add (0,6)=24 Failed, w=85\",\"Add (0,4)=25 Failed, w=85\",\"Add (1,5)=26 Failed, w=85\",\"Add (5,6)=30 Failed, w=85\",\"Add (3,7)=38 Failed, w=85\",\"Add (1,6)=53 Failed, w=85\",\"Add (3,6)=61 Failed, w=85\",\"Add (1,3)=67 Failed, w=85\",\"Add (1,4)=69 Failed, w=85\",\"Add (2,7)=71 Failed, w=85\",\"Add (2,6)=84 Failed, w=85\",\"Add (6,7)=91 Failed, w=85\",\"Add (5,7)=94 Failed, w=85\",\"Add (0,1)=96 Failed, w=85\",\"Add (2,4)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,11],[0,3,19],[0,4,25],[0,5,21],[0,6,24],[1,2,8],[1,3,67],[1,4,69],[1,5,26],[1,6,53],[1,7,15],[2,4,97],[2,6,84],[2,7,71],[3,4,23],[3,5,20],[3,6,61],[3,7,38],[4,5,0],[4,6,12],[4,7,20],[5,6,30],[5,7,94],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(1,2)=8,(0,2)=11,(4,6)=12,(1,7)=15,(0,3)=19,(3,5)=20,(4,7)=20,(0,5)=21,(3,4)=23,(0,6)=24,(0,4)=25,(1,5)=26,(5,6)=30,(3,7)=38,(1,6)=53,(3,6)=61,(1,3)=67,(1,4)=69,(2,7)=71,(2,6)=84,(6,7)=91,(5,7)=94,(0,1)=96,(2,4)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=19\",\"Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=31\",\"Find(1)=1, Find(7)=7, Add (1,7)=15 Succeeded, w=46\",\"Find(0)=1, Find(3)=3, Add (0,3)=19 Succeeded, w=65\",\"Find(3)=1, Find(5)=4, Add (3,5)=20 Succeeded, w=85\",\"Find(4)=1, Find(7)=1, Add (4,7)=20 Failed, w=85\",\"Find(0)=1, Find(5)=1, Add (0,5)=21 Failed, w=85\",\"Find(3)=1, Find(4)=1, Add (3,4)=23 Failed, w=85\",\"Find(0)=1, Find(6)=1, Add (0,6)=24 Failed, w=85\",\"Find(0)=1, Find(4)=1, Add (0,4)=25 Failed, w=85\",\"Find(1)=1, Find(5)=1, Add (1,5)=26 Failed, w=85\",\"Find(5)=1, Find(6)=1, Add (5,6)=30 Failed, w=85\",\"Find(3)=1, Find(7)=1, Add (3,7)=38 Failed, w=85\",\"Find(1)=1, Find(6)=1, Add (1,6)=53 Failed, w=85\",\"Find(3)=1, Find(6)=1, Add (3,6)=61 Failed, w=85\",\"Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=85\",\"Find(1)=1, Find(4)=1, Add (1,4)=69 Failed, w=85\",\"Find(2)=1, Find(7)=1, Add (2,7)=71 Failed, w=85\",\"Find(2)=1, Find(6)=1, Add (2,6)=84 Failed, w=85\",\"Find(6)=1, Find(7)=1, Add (6,7)=91 Failed, w=85\",\"Find(5)=1, Find(7)=1, Add (5,7)=94 Failed, w=85\",\"Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=85\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,11],[0,3,19],[0,4,25],[0,5,21],[0,6,24],[1,2,8],[1,3,67],[1,4,69],[1,5,26],[1,6,53],[1,7,15],[2,4,97],[2,6,84],[2,7,71],[3,4,23],[3,5,20],[3,6,61],[3,7,38],[4,5,0],[4,6,12],[4,7,20],[5,6,30],[5,7,94],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(1,2)=8,(0,2)=11,(4,6)=12,(1,7)=15,(0,3)=19,(3,5)=20,(4,7)=20,(0,5)=21,(3,4)=23,(0,6)=24,(0,4)=25,(1,5)=26,(5,6)=30,(3,7)=38,(1,6)=53,(3,6)=61,(1,3)=67,(1,4)=69,(2,7)=71,(2,6)=84,(6,7)=91,(5,7)=94,(0,1)=96,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=15 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4, 7: 1}, Find(0)=1, Find(3)=3, Add (0,3)=19 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 4, 7: 1}, Find(3)=1, Find(5)=4, Add (3,5)=20 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 4, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=20 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=21 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=23 Failed, w=85\",\"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)=24 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=25 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=26 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=30 Failed, w=85\",\"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)=38 Failed, w=85\",\"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=85\",\"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)=61 Failed, w=85\",\"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)=67 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=69 Failed, w=85\",\"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)=71 Failed, w=85\",\"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=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=91 Failed, w=85\",\"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)=94 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=85\",\"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)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,28],[0,4,75],[0,6,64],[0,7,94],[1,2,46],[1,3,38],[1,5,75],[1,6,1],[1,7,46],[2,3,37],[2,4,52],[2,6,31],[2,7,85],[3,6,24],[3,7,37],[4,5,70],[4,6,24],[4,7,32],[5,7,54],[6,7,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,4,75],[0,6,64],[0,7,94],[1,2,46],[1,3,38],[1,5,75],[1,6,1],[1,7,46],[2,3,37],[2,4,52],[2,6,31],[2,7,85],[3,6,24],[3,7,37],[4,5,70],[4,6,24],[4,7,32],[5,7,54],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,4,75],[0,6,64],[0,7,94],[1,2,46],[1,3,38],[1,5,75],[1,6,1],[1,7,46],[2,3,37],[2,4,52],[2,6,31],[2,7,85],[3,6,24],[3,7,37],[4,5,70],[4,6,24],[4,7,32],[5,7,54],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (4,7)\",\"Add (5,7)\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,4,75],[0,6,64],[0,7,94],[1,2,46],[1,3,38],[1,5,75],[1,6,1],[1,7,46],[2,3,37],[2,4,52],[2,6,31],[2,7,85],[3,6,24],[3,7,37],[4,5,70],[4,6,24],[4,7,32],[5,7,54],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (3,6)=24, w=25\",\"Add (4,6)=24, w=49\",\"Add (0,2)=28, w=77\",\"Add (2,6)=31, w=108\",\"Add (4,7)=32, w=140\",\"Add (5,7)=54, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,4,75],[0,6,64],[0,7,94],[1,2,46],[1,3,38],[1,5,75],[1,6,1],[1,7,46],[2,3,37],[2,4,52],[2,6,31],[2,7,85],[3,6,24],[3,7,37],[4,5,70],[4,6,24],[4,7,32],[5,7,54],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (3,6)=24 Succeeded, w=25\",\"Add (4,6)=24 Succeeded, w=49\",\"Add (0,2)=28 Succeeded, w=77\",\"Add (2,6)=31 Succeeded, w=108\",\"Add (4,7)=32 Succeeded, w=140\",\"Add (6,7)=32 Failed, w=140\",\"Add (0,1)=34 Failed, w=140\",\"Add (2,3)=37 Failed, w=140\",\"Add (3,7)=37 Failed, w=140\",\"Add (1,3)=38 Failed, w=140\",\"Add (1,2)=46 Failed, w=140\",\"Add (1,7)=46 Failed, w=140\",\"Add (2,4)=52 Failed, w=140\",\"Add (5,7)=54 Succeeded, w=194\",\"Add (0,6)=64 Failed, w=194\",\"Add (4,5)=70 Failed, w=194\",\"Add (0,4)=75 Failed, w=194\",\"Add (1,5)=75 Failed, w=194\",\"Add (2,7)=85 Failed, w=194\",\"Add (0,7)=94 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,4,75],[0,6,64],[0,7,94],[1,2,46],[1,3,38],[1,5,75],[1,6,1],[1,7,46],[2,3,37],[2,4,52],[2,6,31],[2,7,85],[3,6,24],[3,7,37],[4,5,70],[4,6,24],[4,7,32],[5,7,54],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(3,6)=24,(4,6)=24,(0,2)=28,(2,6)=31,(4,7)=32,(6,7)=32,(0,1)=34,(2,3)=37,(3,7)=37,(1,3)=38,(1,2)=46,(1,7)=46,(2,4)=52,(5,7)=54,(0,6)=64,(4,5)=70,(0,4)=75,(1,5)=75,(2,7)=85,(0,7)=94]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=1, Add (3,6)=24 Succeeded, w=25\",\"Find(4)=4, Find(6)=1, Add (4,6)=24 Succeeded, w=49\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=77\",\"Find(2)=0, Find(6)=1, Add (2,6)=31 Succeeded, w=108\",\"Find(4)=0, Find(7)=7, Add (4,7)=32 Succeeded, w=140\",\"Find(6)=0, Find(7)=0, Add (6,7)=32 Failed, w=140\",\"Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=140\",\"Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=140\",\"Find(3)=0, Find(7)=0, Add (3,7)=37 Failed, w=140\",\"Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=140\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=140\",\"Find(1)=0, Find(7)=0, Add (1,7)=46 Failed, w=140\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=140\",\"Find(5)=5, Find(7)=0, Add (5,7)=54 Succeeded, w=194\",\"Find(0)=0, Find(6)=0, Add (0,6)=64 Failed, w=194\",\"Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=194\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=194\",\"Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=194\",\"Find(2)=0, Find(7)=0, Add (2,7)=85 Failed, w=194\",\"Find(0)=0, Find(7)=0, Add (0,7)=94 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,28],[0,4,75],[0,6,64],[0,7,94],[1,2,46],[1,3,38],[1,5,75],[1,6,1],[1,7,46],[2,3,37],[2,4,52],[2,6,31],[2,7,85],[3,6,24],[3,7,37],[4,5,70],[4,6,24],[4,7,32],[5,7,54],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(3,6)=24,(4,6)=24,(0,2)=28,(2,6)=31,(4,7)=32,(6,7)=32,(0,1)=34,(2,3)=37,(3,7)=37,(1,3)=38,(1,2)=46,(1,7)=46,(2,4)=52,(5,7)=54,(0,6)=64,(4,5)=70,(0,4)=75,(1,5)=75,(2,7)=85,(0,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(3)=3, Find(6)=1, Add (3,6)=24 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=4, Find(6)=1, Add (4,6)=24 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(2)=0, Find(6)=1, Add (2,6)=31 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5, 6: 1, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=32 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=32 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=37 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=46 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=54 Succeeded, w=194\",\"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)=64 Failed, w=194\",\"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)=70 Failed, w=194\",\"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)=75 Failed, w=194\",\"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)=75 Failed, w=194\",\"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)=85 Failed, w=194\",\"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)=94 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,39],[0,2,50],[0,3,6],[0,5,61],[0,6,57],[0,7,84],[1,2,99],[1,4,21],[1,6,5],[1,7,17],[2,3,56],[2,5,5],[2,6,67],[3,4,4],[3,6,33],[3,7,45],[4,5,20],[4,6,99],[4,7,85],[5,6,19],[5,7,81],[6,7,40]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,50],[0,3,6],[0,5,61],[0,6,57],[0,7,84],[1,2,99],[1,4,21],[1,6,5],[1,7,17],[2,3,56],[2,5,5],[2,6,67],[3,4,4],[3,6,33],[3,7,45],[4,5,20],[4,6,99],[4,7,85],[5,6,19],[5,7,81],[6,7,40]]}",
"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\":[[0,1,39],[0,2,50],[0,3,6],[0,5,61],[0,6,57],[0,7,84],[1,2,99],[1,4,21],[1,6,5],[1,7,17],[2,3,56],[2,5,5],[2,6,67],[3,4,4],[3,6,33],[3,7,45],[4,5,20],[4,6,99],[4,7,85],[5,6,19],[5,7,81],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (5,6)\",\"Add (4,5)\"],\"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\":[[0,1,39],[0,2,50],[0,3,6],[0,5,61],[0,6,57],[0,7,84],[1,2,99],[1,4,21],[1,6,5],[1,7,17],[2,3,56],[2,5,5],[2,6,67],[3,4,4],[3,6,33],[3,7,45],[4,5,20],[4,6,99],[4,7,85],[5,6,19],[5,7,81],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (1,6)=5, w=9\",\"Add (2,5)=5, w=14\",\"Add (0,3)=6, w=20\",\"Add (1,7)=17, w=37\",\"Add (5,6)=19, w=56\",\"Add (4,5)=20, 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\":[[0,1,39],[0,2,50],[0,3,6],[0,5,61],[0,6,57],[0,7,84],[1,2,99],[1,4,21],[1,6,5],[1,7,17],[2,3,56],[2,5,5],[2,6,67],[3,4,4],[3,6,33],[3,7,45],[4,5,20],[4,6,99],[4,7,85],[5,6,19],[5,7,81],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (1,6)=5 Succeeded, w=9\",\"Add (2,5)=5 Succeeded, w=14\",\"Add (0,3)=6 Succeeded, w=20\",\"Add (1,7)=17 Succeeded, w=37\",\"Add (5,6)=19 Succeeded, w=56\",\"Add (4,5)=20 Succeeded, w=76\",\"Add (1,4)=21 Failed, w=76\",\"Add (3,6)=33 Failed, w=76\",\"Add (0,1)=39 Failed, w=76\",\"Add (6,7)=40 Failed, w=76\",\"Add (3,7)=45 Failed, w=76\",\"Add (0,2)=50 Failed, w=76\",\"Add (2,3)=56 Failed, w=76\",\"Add (0,6)=57 Failed, w=76\",\"Add (0,5)=61 Failed, w=76\",\"Add (2,6)=67 Failed, w=76\",\"Add (5,7)=81 Failed, w=76\",\"Add (0,7)=84 Failed, w=76\",\"Add (4,7)=85 Failed, w=76\",\"Add (1,2)=99 Failed, w=76\",\"Add (4,6)=99 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\":[[0,1,39],[0,2,50],[0,3,6],[0,5,61],[0,6,57],[0,7,84],[1,2,99],[1,4,21],[1,6,5],[1,7,17],[2,3,56],[2,5,5],[2,6,67],[3,4,4],[3,6,33],[3,7,45],[4,5,20],[4,6,99],[4,7,85],[5,6,19],[5,7,81],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,6)=5,(2,5)=5,(0,3)=6,(1,7)=17,(5,6)=19,(4,5)=20,(1,4)=21,(3,6)=33,(0,1)=39,(6,7)=40,(3,7)=45,(0,2)=50,(2,3)=56,(0,6)=57,(0,5)=61,(2,6)=67,(5,7)=81,(0,7)=84,(4,7)=85,(1,2)=99,(4,6)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=20\",\"Find(1)=1, Find(7)=7, Add (1,7)=17 Succeeded, w=37\",\"Find(5)=2, Find(6)=1, Add (5,6)=19 Succeeded, w=56\",\"Find(4)=3, Find(5)=2, Add (4,5)=20 Succeeded, w=76\",\"Find(1)=2, Find(4)=2, Add (1,4)=21 Failed, w=76\",\"Find(3)=2, Find(6)=2, Add (3,6)=33 Failed, w=76\",\"Find(0)=2, Find(1)=2, Add (0,1)=39 Failed, w=76\",\"Find(6)=2, Find(7)=2, Add (6,7)=40 Failed, w=76\",\"Find(3)=2, Find(7)=2, Add (3,7)=45 Failed, w=76\",\"Find(0)=2, Find(2)=2, Add (0,2)=50 Failed, w=76\",\"Find(2)=2, Find(3)=2, Add (2,3)=56 Failed, w=76\",\"Find(0)=2, Find(6)=2, Add (0,6)=57 Failed, w=76\",\"Find(0)=2, Find(5)=2, Add (0,5)=61 Failed, w=76\",\"Find(2)=2, Find(6)=2, Add (2,6)=67 Failed, w=76\",\"Find(5)=2, Find(7)=2, Add (5,7)=81 Failed, w=76\",\"Find(0)=2, Find(7)=2, Add (0,7)=84 Failed, w=76\",\"Find(4)=2, Find(7)=2, Add (4,7)=85 Failed, w=76\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=76\",\"Find(4)=2, Find(6)=2, Add (4,6)=99 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\":[[0,1,39],[0,2,50],[0,3,6],[0,5,61],[0,6,57],[0,7,84],[1,2,99],[1,4,21],[1,6,5],[1,7,17],[2,3,56],[2,5,5],[2,6,67],[3,4,4],[3,6,33],[3,7,45],[4,5,20],[4,6,99],[4,7,85],[5,6,19],[5,7,81],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,6)=5,(2,5)=5,(0,3)=6,(1,7)=17,(5,6)=19,(4,5)=20,(1,4)=21,(3,6)=33,(0,1)=39,(6,7)=40,(3,7)=45,(0,2)=50,(2,3)=56,(0,6)=57,(0,5)=61,(2,6)=67,(5,7)=81,(0,7)=84,(4,7)=85,(1,2)=99,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=14\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=20\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=17 Succeeded, w=37\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1, 7: 1}, Find(5)=2, Find(6)=1, Add (5,6)=19 Succeeded, w=56\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 1, 7: 1}, Find(4)=3, Find(5)=2, Add (4,5)=20 Succeeded, w=76\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 1}, Find(1)=2, Find(4)=2, Add (1,4)=21 Failed, w=76\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 1}, Find(3)=2, Find(6)=2, Add (3,6)=33 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 1}, Find(0)=2, Find(1)=2, Add (0,1)=39 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=40 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=45 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=50 Failed, w=76\",\"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)=56 Failed, w=76\",\"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)=57 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=61 Failed, w=76\",\"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)=67 Failed, w=76\",\"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)=81 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=84 Failed, w=76\",\"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)=85 Failed, w=76\",\"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)=99 Failed, w=76\",\"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)=99 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,3,47],[1,2,19],[1,3,39],[1,4,28],[2,3,4],[3,4,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,2,19],[1,3,39],[1,4,28],[2,3,4],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,2,19],[1,3,39],[1,4,28],[2,3,4],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,2,19],[1,3,39],[1,4,28],[2,3,4],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (1,2)=19, w=23\",\"Add (1,4)=28, w=51\",\"Add (0,3)=47, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,2,19],[1,3,39],[1,4,28],[2,3,4],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (1,2)=19 Succeeded, w=23\",\"Add (1,4)=28 Succeeded, w=51\",\"Add (1,3)=39 Failed, w=51\",\"Add (0,3)=47 Succeeded, w=98\",\"Add (0,1)=76 Failed, w=98\",\"Add (3,4)=76 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,2,19],[1,3,39],[1,4,28],[2,3,4],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(1,2)=19,(1,4)=28,(1,3)=39,(0,3)=47,(0,1)=76,(3,4)=76]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=23\",\"Find(1)=2, Find(4)=4, Add (1,4)=28 Succeeded, w=51\",\"Find(1)=2, Find(3)=2, Add (1,3)=39 Failed, w=51\",\"Find(0)=0, Find(3)=2, Add (0,3)=47 Succeeded, w=98\",\"Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=98\",\"Find(3)=2, Find(4)=2, Add (3,4)=76 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,3,47],[1,2,19],[1,3,39],[1,4,28],[2,3,4],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(1,2)=19,(1,4)=28,(1,3)=39,(0,3)=47,(0,1)=76,(3,4)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=4, Add (1,4)=28 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=39 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=47 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=76 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,7],[0,3,64],[1,2,26],[1,3,51],[2,3,68],[2,4,53],[3,4,23]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,64],[1,2,26],[1,3,51],[2,3,68],[2,4,53],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,64],[1,2,26],[1,3,51],[2,3,68],[2,4,53],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,64],[1,2,26],[1,3,51],[2,3,68],[2,4,53],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (3,4)=23, w=30\",\"Add (1,2)=26, w=56\",\"Add (1,3)=51, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,64],[1,2,26],[1,3,51],[2,3,68],[2,4,53],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (3,4)=23 Succeeded, w=30\",\"Add (1,2)=26 Succeeded, w=56\",\"Add (1,3)=51 Succeeded, w=107\",\"Add (2,4)=53 Failed, w=107\",\"Add (0,3)=64 Failed, w=107\",\"Add (2,3)=68 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,64],[1,2,26],[1,3,51],[2,3,68],[2,4,53],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(3,4)=23,(1,2)=26,(1,3)=51,(2,4)=53,(0,3)=64,(2,3)=68]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=30\",\"Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=56\",\"Find(1)=0, Find(3)=3, Add (1,3)=51 Succeeded, w=107\",\"Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=107\",\"Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=107\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,64],[1,2,26],[1,3,51],[2,3,68],[2,4,53],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(3,4)=23,(1,2)=26,(1,3)=51,(2,4)=53,(0,3)=64,(2,3)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=3, Add (1,3)=51 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.