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],"edges":[[0,1,21],[0,2,34],[0,3,0],[1,2,6],[1,3,4],[2,4,73],[3,4,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,34],[0,3,0],[1,2,6],[1,3,4],[2,4,73],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,34],[0,3,0],[1,2,6],[1,3,4],[2,4,73],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,34],[0,3,0],[1,2,6],[1,3,4],[2,4,73],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,3)=4, w=4\",\"Add (1,2)=6, w=10\",\"Add (2,4)=73, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,34],[0,3,0],[1,2,6],[1,3,4],[2,4,73],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,3)=4 Succeeded, w=4\",\"Add (1,2)=6 Succeeded, w=10\",\"Add (0,1)=21 Failed, w=10\",\"Add (0,2)=34 Failed, w=10\",\"Add (2,4)=73 Succeeded, w=83\",\"Add (3,4)=74 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,34],[0,3,0],[1,2,6],[1,3,4],[2,4,73],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,3)=4,(1,2)=6,(0,1)=21,(0,2)=34,(2,4)=73,(3,4)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=0, Add (1,3)=4 Succeeded, w=4\",\"Find(1)=0, Find(2)=2, Add (1,2)=6 Succeeded, w=10\",\"Find(0)=0, Find(1)=0, Add (0,1)=21 Failed, w=10\",\"Find(0)=0, Find(2)=0, Add (0,2)=34 Failed, w=10\",\"Find(2)=0, Find(4)=4, Add (2,4)=73 Succeeded, w=83\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,34],[0,3,0],[1,2,6],[1,3,4],[2,4,73],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,3)=4,(1,2)=6,(0,1)=21,(0,2)=34,(2,4)=73,(3,4)=74]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=21 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=34 Failed, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=73 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,70],[0,2,22],[0,4,98],[1,4,30],[1,6,8],[1,7,94],[2,3,95],[2,4,94],[2,5,30],[2,6,12],[2,7,78],[3,4,44],[3,5,94],[3,6,30],[3,7,96],[6,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,22],[0,4,98],[1,4,30],[1,6,8],[1,7,94],[2,3,95],[2,4,94],[2,5,30],[2,6,12],[2,7,78],[3,4,44],[3,5,94],[3,6,30],[3,7,96],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,22],[0,4,98],[1,4,30],[1,6,8],[1,7,94],[2,3,95],[2,4,94],[2,5,30],[2,6,12],[2,7,78],[3,4,44],[3,5,94],[3,6,30],[3,7,96],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,22],[0,4,98],[1,4,30],[1,6,8],[1,7,94],[2,3,95],[2,4,94],[2,5,30],[2,6,12],[2,7,78],[3,4,44],[3,5,94],[3,6,30],[3,7,96],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=4, w=4\",\"Add (1,6)=8, w=12\",\"Add (2,6)=12, w=24\",\"Add (0,2)=22, w=46\",\"Add (1,4)=30, w=76\",\"Add (2,5)=30, w=106\",\"Add (3,6)=30, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,22],[0,4,98],[1,4,30],[1,6,8],[1,7,94],[2,3,95],[2,4,94],[2,5,30],[2,6,12],[2,7,78],[3,4,44],[3,5,94],[3,6,30],[3,7,96],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=4 Succeeded, w=4\",\"Add (1,6)=8 Succeeded, w=12\",\"Add (2,6)=12 Succeeded, w=24\",\"Add (0,2)=22 Succeeded, w=46\",\"Add (1,4)=30 Succeeded, w=76\",\"Add (2,5)=30 Succeeded, w=106\",\"Add (3,6)=30 Succeeded, w=136\",\"Add (3,4)=44 Failed, w=136\",\"Add (0,1)=70 Failed, w=136\",\"Add (2,7)=78 Failed, w=136\",\"Add (1,7)=94 Failed, w=136\",\"Add (2,4)=94 Failed, w=136\",\"Add (3,5)=94 Failed, w=136\",\"Add (2,3)=95 Failed, w=136\",\"Add (3,7)=96 Failed, w=136\",\"Add (0,4)=98 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,22],[0,4,98],[1,4,30],[1,6,8],[1,7,94],[2,3,95],[2,4,94],[2,5,30],[2,6,12],[2,7,78],[3,4,44],[3,5,94],[3,6,30],[3,7,96],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=4,(1,6)=8,(2,6)=12,(0,2)=22,(1,4)=30,(2,5)=30,(3,6)=30,(3,4)=44,(0,1)=70,(2,7)=78,(1,7)=94,(2,4)=94,(3,5)=94,(2,3)=95,(3,7)=96,(0,4)=98]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=12\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=24\",\"Find(0)=0, Find(2)=6, Add (0,2)=22 Succeeded, w=46\",\"Find(1)=6, Find(4)=4, Add (1,4)=30 Succeeded, w=76\",\"Find(2)=6, Find(5)=5, Add (2,5)=30 Succeeded, w=106\",\"Find(3)=3, Find(6)=6, Add (3,6)=30 Succeeded, w=136\",\"Find(3)=6, Find(4)=6, Add (3,4)=44 Failed, w=136\",\"Find(0)=6, Find(1)=6, Add (0,1)=70 Failed, w=136\",\"Find(2)=6, Find(7)=6, Add (2,7)=78 Failed, w=136\",\"Find(1)=6, Find(7)=6, Add (1,7)=94 Failed, w=136\",\"Find(2)=6, Find(4)=6, Add (2,4)=94 Failed, w=136\",\"Find(3)=6, Find(5)=6, Add (3,5)=94 Failed, w=136\",\"Find(2)=6, Find(3)=6, Add (2,3)=95 Failed, w=136\",\"Find(3)=6, Find(7)=6, Add (3,7)=96 Failed, w=136\",\"Find(0)=6, Find(4)=6, Add (0,4)=98 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,2,22],[0,4,98],[1,4,30],[1,6,8],[1,7,94],[2,3,95],[2,4,94],[2,5,30],[2,6,12],[2,7,78],[3,4,44],[3,5,94],[3,6,30],[3,7,96],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=4,(1,6)=8,(2,6)=12,(0,2)=22,(1,4)=30,(2,5)=30,(3,6)=30,(3,4)=44,(0,1)=70,(2,7)=78,(1,7)=94,(2,4)=94,(3,5)=94,(2,3)=95,(3,7)=96,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 6, 2: 6, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=24\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(2)=6, Add (0,2)=22 Succeeded, w=46\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 3, 4: 6, 5: 5, 6: 6, 7: 6}, Find(1)=6, Find(4)=4, Add (1,4)=30 Succeeded, w=76\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 3, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(5)=5, Add (2,5)=30 Succeeded, w=106\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=3, Find(6)=6, Add (3,6)=30 Succeeded, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(4)=6, Add (3,4)=44 Failed, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(1)=6, Add (0,1)=70 Failed, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(7)=6, Add (2,7)=78 Failed, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(7)=6, Add (1,7)=94 Failed, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(4)=6, Add (2,4)=94 Failed, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(5)=6, Add (3,5)=94 Failed, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(3)=6, Add (2,3)=95 Failed, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(7)=6, Add (3,7)=96 Failed, w=136\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(4)=6, Add (0,4)=98 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,88],[0,3,88],[1,2,94],[1,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,88],[1,2,94],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,88],[1,2,94],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,88],[1,2,94],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=29, w=29\",\"Add (0,2)=88, w=117\",\"Add (0,3)=88, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,88],[1,2,94],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=29 Succeeded, w=29\",\"Add (0,2)=88 Succeeded, w=117\",\"Add (0,3)=88 Succeeded, w=205\",\"Add (1,2)=94 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,88],[1,2,94],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=29,(0,2)=88,(0,3)=88,(1,2)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=29\",\"Find(0)=0, Find(2)=2, Add (0,2)=88 Succeeded, w=117\",\"Find(0)=0, Find(3)=1, Add (0,3)=88 Succeeded, w=205\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,88],[0,3,88],[1,2,94],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=29,(0,2)=88,(0,3)=88,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=88 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=88 Succeeded, w=205\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,2,46],[0,3,32],[0,6,11],[1,2,32],[1,3,96],[1,4,73],[1,5,3],[1,6,6],[2,3,67],[2,4,38],[2,5,47],[2,6,36],[3,4,9],[3,5,88],[3,6,93],[4,5,52],[4,6,79],[5,6,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,46],[0,3,32],[0,6,11],[1,2,32],[1,3,96],[1,4,73],[1,5,3],[1,6,6],[2,3,67],[2,4,38],[2,5,47],[2,6,36],[3,4,9],[3,5,88],[3,6,93],[4,5,52],[4,6,79],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,46],[0,3,32],[0,6,11],[1,2,32],[1,3,96],[1,4,73],[1,5,3],[1,6,6],[2,3,67],[2,4,38],[2,5,47],[2,6,36],[3,4,9],[3,5,88],[3,6,93],[4,5,52],[4,6,79],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,6)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,46],[0,3,32],[0,6,11],[1,2,32],[1,3,96],[1,4,73],[1,5,3],[1,6,6],[2,3,67],[2,4,38],[2,5,47],[2,6,36],[3,4,9],[3,5,88],[3,6,93],[4,5,52],[4,6,79],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (1,6)=6, w=9\",\"Add (3,4)=9, w=18\",\"Add (0,6)=11, w=29\",\"Add (0,3)=32, w=61\",\"Add (1,2)=32, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,46],[0,3,32],[0,6,11],[1,2,32],[1,3,96],[1,4,73],[1,5,3],[1,6,6],[2,3,67],[2,4,38],[2,5,47],[2,6,36],[3,4,9],[3,5,88],[3,6,93],[4,5,52],[4,6,79],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (1,6)=6 Succeeded, w=9\",\"Add (3,4)=9 Succeeded, w=18\",\"Add (0,6)=11 Succeeded, w=29\",\"Add (0,3)=32 Succeeded, w=61\",\"Add (1,2)=32 Succeeded, w=93\",\"Add (2,6)=36 Failed, w=93\",\"Add (2,4)=38 Failed, w=93\",\"Add (0,2)=46 Failed, w=93\",\"Add (2,5)=47 Failed, w=93\",\"Add (0,1)=48 Failed, w=93\",\"Add (4,5)=52 Failed, w=93\",\"Add (2,3)=67 Failed, w=93\",\"Add (1,4)=73 Failed, w=93\",\"Add (4,6)=79 Failed, w=93\",\"Add (3,5)=88 Failed, w=93\",\"Add (3,6)=93 Failed, w=93\",\"Add (5,6)=94 Failed, w=93\",\"Add (1,3)=96 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,46],[0,3,32],[0,6,11],[1,2,32],[1,3,96],[1,4,73],[1,5,3],[1,6,6],[2,3,67],[2,4,38],[2,5,47],[2,6,36],[3,4,9],[3,5,88],[3,6,93],[4,5,52],[4,6,79],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(1,6)=6,(3,4)=9,(0,6)=11,(0,3)=32,(1,2)=32,(2,6)=36,(2,4)=38,(0,2)=46,(2,5)=47,(0,1)=48,(4,5)=52,(2,3)=67,(1,4)=73,(4,6)=79,(3,5)=88,(3,6)=93,(5,6)=94,(1,3)=96]\",\"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(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=18\",\"Find(0)=0, Find(6)=1, Add (0,6)=11 Succeeded, w=29\",\"Find(0)=1, Find(3)=3, Add (0,3)=32 Succeeded, w=61\",\"Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=93\",\"Find(2)=1, Find(6)=1, Add (2,6)=36 Failed, w=93\",\"Find(2)=1, Find(4)=1, Add (2,4)=38 Failed, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=93\",\"Find(2)=1, Find(5)=1, Add (2,5)=47 Failed, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=93\",\"Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=93\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=93\",\"Find(1)=1, Find(4)=1, Add (1,4)=73 Failed, w=93\",\"Find(4)=1, Find(6)=1, Add (4,6)=79 Failed, w=93\",\"Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=93\",\"Find(3)=1, Find(6)=1, Add (3,6)=93 Failed, w=93\",\"Find(5)=1, Find(6)=1, Add (5,6)=94 Failed, w=93\",\"Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,46],[0,3,32],[0,6,11],[1,2,32],[1,3,96],[1,4,73],[1,5,3],[1,6,6],[2,3,67],[2,4,38],[2,5,47],[2,6,36],[3,4,9],[3,5,88],[3,6,93],[4,5,52],[4,6,79],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(1,6)=6,(3,4)=9,(0,6)=11,(0,3)=32,(1,2)=32,(2,6)=36,(2,4)=38,(0,2)=46,(2,5)=47,(0,1)=48,(4,5)=52,(2,3)=67,(1,4)=73,(4,6)=79,(3,5)=88,(3,6)=93,(5,6)=94,(1,3)=96]\",\"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: 3, 5: 1, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=11 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 3, 5: 1, 6: 1}, Find(0)=1, Find(3)=3, Add (0,3)=32 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=36 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=38 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=47 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=73 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=79 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=93 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=94 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,2,36],[0,4,83],[1,2,68],[1,3,1],[1,4,12],[2,3,86],[3,4,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,36],[0,4,83],[1,2,68],[1,3,1],[1,4,12],[2,3,86],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,36],[0,4,83],[1,2,68],[1,3,1],[1,4,12],[2,3,86],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,36],[0,4,83],[1,2,68],[1,3,1],[1,4,12],[2,3,86],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,4)=12, w=13\",\"Add (0,1)=16, w=29\",\"Add (0,2)=36, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,36],[0,4,83],[1,2,68],[1,3,1],[1,4,12],[2,3,86],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,4)=12 Succeeded, w=13\",\"Add (3,4)=14 Failed, w=13\",\"Add (0,1)=16 Succeeded, w=29\",\"Add (0,2)=36 Succeeded, w=65\",\"Add (1,2)=68 Failed, w=65\",\"Add (0,4)=83 Failed, w=65\",\"Add (2,3)=86 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,36],[0,4,83],[1,2,68],[1,3,1],[1,4,12],[2,3,86],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,4)=12,(3,4)=14,(0,1)=16,(0,2)=36,(1,2)=68,(0,4)=83,(2,3)=86]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=13\",\"Find(3)=1, Find(4)=1, Add (3,4)=14 Failed, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=29\",\"Find(0)=1, Find(2)=2, Add (0,2)=36 Succeeded, w=65\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=65\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=65\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,36],[0,4,83],[1,2,68],[1,3,1],[1,4,12],[2,3,86],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,4)=12,(3,4)=14,(0,1)=16,(0,2)=36,(1,2)=68,(0,4)=83,(2,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=14 Failed, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=36 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,46],[0,2,14],[0,3,27],[0,4,14],[0,5,55],[0,6,79],[0,7,45],[1,2,72],[1,3,54],[1,4,11],[1,6,58],[1,7,81],[2,3,83],[2,4,1],[2,5,34],[2,6,67],[2,7,24],[3,4,63],[3,5,25],[3,6,58],[3,7,69],[4,5,52],[4,6,53],[4,7,68],[5,6,9],[5,7,4],[6,7,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,14],[0,3,27],[0,4,14],[0,5,55],[0,6,79],[0,7,45],[1,2,72],[1,3,54],[1,4,11],[1,6,58],[1,7,81],[2,3,83],[2,4,1],[2,5,34],[2,6,67],[2,7,24],[3,4,63],[3,5,25],[3,6,58],[3,7,69],[4,5,52],[4,6,53],[4,7,68],[5,6,9],[5,7,4],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,14],[0,3,27],[0,4,14],[0,5,55],[0,6,79],[0,7,45],[1,2,72],[1,3,54],[1,4,11],[1,6,58],[1,7,81],[2,3,83],[2,4,1],[2,5,34],[2,6,67],[2,7,24],[3,4,63],[3,5,25],[3,6,58],[3,7,69],[4,5,52],[4,6,53],[4,7,68],[5,6,9],[5,7,4],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (5,7)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (2,7)\",\"Add (3,5)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,14],[0,3,27],[0,4,14],[0,5,55],[0,6,79],[0,7,45],[1,2,72],[1,3,54],[1,4,11],[1,6,58],[1,7,81],[2,3,83],[2,4,1],[2,5,34],[2,6,67],[2,7,24],[3,4,63],[3,5,25],[3,6,58],[3,7,69],[4,5,52],[4,6,53],[4,7,68],[5,6,9],[5,7,4],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (5,7)=4, w=5\",\"Add (5,6)=9, w=14\",\"Add (1,4)=11, w=25\",\"Add (0,2)=14, w=39\",\"Add (2,7)=24, w=63\",\"Add (3,5)=25, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,14],[0,3,27],[0,4,14],[0,5,55],[0,6,79],[0,7,45],[1,2,72],[1,3,54],[1,4,11],[1,6,58],[1,7,81],[2,3,83],[2,4,1],[2,5,34],[2,6,67],[2,7,24],[3,4,63],[3,5,25],[3,6,58],[3,7,69],[4,5,52],[4,6,53],[4,7,68],[5,6,9],[5,7,4],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (5,7)=4 Succeeded, w=5\",\"Add (5,6)=9 Succeeded, w=14\",\"Add (1,4)=11 Succeeded, w=25\",\"Add (0,2)=14 Succeeded, w=39\",\"Add (0,4)=14 Failed, w=39\",\"Add (2,7)=24 Succeeded, w=63\",\"Add (3,5)=25 Succeeded, w=88\",\"Add (0,3)=27 Failed, w=88\",\"Add (6,7)=30 Failed, w=88\",\"Add (2,5)=34 Failed, w=88\",\"Add (0,7)=45 Failed, w=88\",\"Add (0,1)=46 Failed, w=88\",\"Add (4,5)=52 Failed, w=88\",\"Add (4,6)=53 Failed, w=88\",\"Add (1,3)=54 Failed, w=88\",\"Add (0,5)=55 Failed, w=88\",\"Add (1,6)=58 Failed, w=88\",\"Add (3,6)=58 Failed, w=88\",\"Add (3,4)=63 Failed, w=88\",\"Add (2,6)=67 Failed, w=88\",\"Add (4,7)=68 Failed, w=88\",\"Add (3,7)=69 Failed, w=88\",\"Add (1,2)=72 Failed, w=88\",\"Add (0,6)=79 Failed, w=88\",\"Add (1,7)=81 Failed, w=88\",\"Add (2,3)=83 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,14],[0,3,27],[0,4,14],[0,5,55],[0,6,79],[0,7,45],[1,2,72],[1,3,54],[1,4,11],[1,6,58],[1,7,81],[2,3,83],[2,4,1],[2,5,34],[2,6,67],[2,7,24],[3,4,63],[3,5,25],[3,6,58],[3,7,69],[4,5,52],[4,6,53],[4,7,68],[5,6,9],[5,7,4],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(5,7)=4,(5,6)=9,(1,4)=11,(0,2)=14,(0,4)=14,(2,7)=24,(3,5)=25,(0,3)=27,(6,7)=30,(2,5)=34,(0,7)=45,(0,1)=46,(4,5)=52,(4,6)=53,(1,3)=54,(0,5)=55,(1,6)=58,(3,6)=58,(3,4)=63,(2,6)=67,(4,7)=68,(3,7)=69,(1,2)=72,(0,6)=79,(1,7)=81,(2,3)=83]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(5)=5, Find(7)=7, Add (5,7)=4 Succeeded, w=5\",\"Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=14\",\"Find(1)=1, Find(4)=2, Add (1,4)=11 Succeeded, w=25\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=39\",\"Find(0)=2, Find(4)=2, Add (0,4)=14 Failed, w=39\",\"Find(2)=2, Find(7)=5, Add (2,7)=24 Succeeded, w=63\",\"Find(3)=3, Find(5)=2, Add (3,5)=25 Succeeded, w=88\",\"Find(0)=2, Find(3)=2, Add (0,3)=27 Failed, w=88\",\"Find(6)=2, Find(7)=2, Add (6,7)=30 Failed, w=88\",\"Find(2)=2, Find(5)=2, Add (2,5)=34 Failed, w=88\",\"Find(0)=2, Find(7)=2, Add (0,7)=45 Failed, w=88\",\"Find(0)=2, Find(1)=2, Add (0,1)=46 Failed, w=88\",\"Find(4)=2, Find(5)=2, Add (4,5)=52 Failed, w=88\",\"Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=88\",\"Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=88\",\"Find(0)=2, Find(5)=2, Add (0,5)=55 Failed, w=88\",\"Find(1)=2, Find(6)=2, Add (1,6)=58 Failed, w=88\",\"Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=88\",\"Find(3)=2, Find(4)=2, Add (3,4)=63 Failed, w=88\",\"Find(2)=2, Find(6)=2, Add (2,6)=67 Failed, w=88\",\"Find(4)=2, Find(7)=2, Add (4,7)=68 Failed, w=88\",\"Find(3)=2, Find(7)=2, Add (3,7)=69 Failed, w=88\",\"Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=88\",\"Find(0)=2, Find(6)=2, Add (0,6)=79 Failed, w=88\",\"Find(1)=2, Find(7)=2, Add (1,7)=81 Failed, w=88\",\"Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,14],[0,3,27],[0,4,14],[0,5,55],[0,6,79],[0,7,45],[1,2,72],[1,3,54],[1,4,11],[1,6,58],[1,7,81],[2,3,83],[2,4,1],[2,5,34],[2,6,67],[2,7,24],[3,4,63],[3,5,25],[3,6,58],[3,7,69],[4,5,52],[4,6,53],[4,7,68],[5,6,9],[5,7,4],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(5,7)=4,(5,6)=9,(1,4)=11,(0,2)=14,(0,4)=14,(2,7)=24,(3,5)=25,(0,3)=27,(6,7)=30,(2,5)=34,(0,7)=45,(0,1)=46,(4,5)=52,(4,6)=53,(1,3)=54,(0,5)=55,(1,6)=58,(3,6)=58,(3,4)=63,(2,6)=67,(4,7)=68,(3,7)=69,(1,2)=72,(0,6)=79,(1,7)=81,(2,3)=83]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(4)=2, Add (1,4)=11 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=2, Find(4)=2, Add (0,4)=14 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 5, 7: 5}, Find(2)=2, Find(7)=5, Add (2,7)=24 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 5}, Find(3)=3, Find(5)=2, Add (3,5)=25 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 5}, Find(0)=2, Find(3)=2, Add (0,3)=27 Failed, w=88\",\"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)=30 Failed, w=88\",\"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)=34 Failed, w=88\",\"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)=45 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=46 Failed, w=88\",\"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)=52 Failed, w=88\",\"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)=53 Failed, w=88\",\"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)=54 Failed, w=88\",\"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)=55 Failed, w=88\",\"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)=58 Failed, w=88\",\"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)=58 Failed, w=88\",\"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)=63 Failed, w=88\",\"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=88\",\"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)=68 Failed, w=88\",\"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)=69 Failed, w=88\",\"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)=72 Failed, w=88\",\"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)=79 Failed, w=88\",\"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)=81 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,4],[0,2,24],[0,3,58],[0,4,13],[0,5,42],[1,2,76],[1,3,21],[1,4,48],[1,5,26],[2,3,41],[2,4,78],[2,5,90],[3,4,46],[3,5,29],[4,5,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,24],[0,3,58],[0,4,13],[0,5,42],[1,2,76],[1,3,21],[1,4,48],[1,5,26],[2,3,41],[2,4,78],[2,5,90],[3,4,46],[3,5,29],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,24],[0,3,58],[0,4,13],[0,5,42],[1,2,76],[1,3,21],[1,4,48],[1,5,26],[2,3,41],[2,4,78],[2,5,90],[3,4,46],[3,5,29],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,24],[0,3,58],[0,4,13],[0,5,42],[1,2,76],[1,3,21],[1,4,48],[1,5,26],[2,3,41],[2,4,78],[2,5,90],[3,4,46],[3,5,29],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (4,5)=12, w=16\",\"Add (0,4)=13, w=29\",\"Add (1,3)=21, w=50\",\"Add (0,2)=24, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,24],[0,3,58],[0,4,13],[0,5,42],[1,2,76],[1,3,21],[1,4,48],[1,5,26],[2,3,41],[2,4,78],[2,5,90],[3,4,46],[3,5,29],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (4,5)=12 Succeeded, w=16\",\"Add (0,4)=13 Succeeded, w=29\",\"Add (1,3)=21 Succeeded, w=50\",\"Add (0,2)=24 Succeeded, w=74\",\"Add (1,5)=26 Failed, w=74\",\"Add (3,5)=29 Failed, w=74\",\"Add (2,3)=41 Failed, w=74\",\"Add (0,5)=42 Failed, w=74\",\"Add (3,4)=46 Failed, w=74\",\"Add (1,4)=48 Failed, w=74\",\"Add (0,3)=58 Failed, w=74\",\"Add (1,2)=76 Failed, w=74\",\"Add (2,4)=78 Failed, w=74\",\"Add (2,5)=90 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,24],[0,3,58],[0,4,13],[0,5,42],[1,2,76],[1,3,21],[1,4,48],[1,5,26],[2,3,41],[2,4,78],[2,5,90],[3,4,46],[3,5,29],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(4,5)=12,(0,4)=13,(1,3)=21,(0,2)=24,(1,5)=26,(3,5)=29,(2,3)=41,(0,5)=42,(3,4)=46,(1,4)=48,(0,3)=58,(1,2)=76,(2,4)=78,(2,5)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=16\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=29\",\"Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=50\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=74\",\"Find(1)=0, Find(5)=0, Add (1,5)=26 Failed, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=29 Failed, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=74\",\"Find(0)=0, Find(5)=0, Add (0,5)=42 Failed, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=74\",\"Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=74\",\"Find(2)=0, Find(5)=0, Add (2,5)=90 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,24],[0,3,58],[0,4,13],[0,5,42],[1,2,76],[1,3,21],[1,4,48],[1,5,26],[2,3,41],[2,4,78],[2,5,90],[3,4,46],[3,5,29],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(4,5)=12,(0,4)=13,(1,3)=21,(0,2)=24,(1,5)=26,(3,5)=29,(2,3)=41,(0,5)=42,(3,4)=46,(1,4)=48,(0,3)=58,(1,2)=76,(2,4)=78,(2,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=26 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=29 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=42 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=90 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,54],[0,3,39],[0,4,48],[0,6,32],[1,2,61],[1,6,29],[2,3,21],[2,4,73],[2,5,13],[3,5,65],[3,6,83],[4,5,99],[4,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,3,39],[0,4,48],[0,6,32],[1,2,61],[1,6,29],[2,3,21],[2,4,73],[2,5,13],[3,5,65],[3,6,83],[4,5,99],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,3,39],[0,4,48],[0,6,32],[1,2,61],[1,6,29],[2,3,21],[2,4,73],[2,5,13],[3,5,65],[3,6,83],[4,5,99],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,3,39],[0,4,48],[0,6,32],[1,2,61],[1,6,29],[2,3,21],[2,4,73],[2,5,13],[3,5,65],[3,6,83],[4,5,99],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=13, w=13\",\"Add (2,3)=21, w=34\",\"Add (1,6)=29, w=63\",\"Add (0,6)=32, w=95\",\"Add (0,3)=39, w=134\",\"Add (4,6)=41, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,3,39],[0,4,48],[0,6,32],[1,2,61],[1,6,29],[2,3,21],[2,4,73],[2,5,13],[3,5,65],[3,6,83],[4,5,99],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=13 Succeeded, w=13\",\"Add (2,3)=21 Succeeded, w=34\",\"Add (1,6)=29 Succeeded, w=63\",\"Add (0,6)=32 Succeeded, w=95\",\"Add (0,3)=39 Succeeded, w=134\",\"Add (4,6)=41 Succeeded, w=175\",\"Add (0,4)=48 Failed, w=175\",\"Add (0,1)=54 Failed, w=175\",\"Add (1,2)=61 Failed, w=175\",\"Add (3,5)=65 Failed, w=175\",\"Add (2,4)=73 Failed, w=175\",\"Add (3,6)=83 Failed, w=175\",\"Add (4,5)=99 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,3,39],[0,4,48],[0,6,32],[1,2,61],[1,6,29],[2,3,21],[2,4,73],[2,5,13],[3,5,65],[3,6,83],[4,5,99],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=13,(2,3)=21,(1,6)=29,(0,6)=32,(0,3)=39,(4,6)=41,(0,4)=48,(0,1)=54,(1,2)=61,(3,5)=65,(2,4)=73,(3,6)=83,(4,5)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=13\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=34\",\"Find(1)=1, Find(6)=6, Add (1,6)=29 Succeeded, w=63\",\"Find(0)=0, Find(6)=1, Add (0,6)=32 Succeeded, w=95\",\"Find(0)=1, Find(3)=2, Add (0,3)=39 Succeeded, w=134\",\"Find(4)=4, Find(6)=1, Add (4,6)=41 Succeeded, w=175\",\"Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=175\",\"Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=175\",\"Find(1)=1, Find(2)=1, Add (1,2)=61 Failed, w=175\",\"Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=175\",\"Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=175\",\"Find(3)=1, Find(6)=1, Add (3,6)=83 Failed, w=175\",\"Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,3,39],[0,4,48],[0,6,32],[1,2,61],[1,6,29],[2,3,21],[2,4,73],[2,5,13],[3,5,65],[3,6,83],[4,5,99],[4,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=13,(2,3)=21,(1,6)=29,(0,6)=32,(0,3)=39,(4,6)=41,(0,4)=48,(0,1)=54,(1,2)=61,(3,5)=65,(2,4)=73,(3,6)=83,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=29 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=32 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 4, 5: 2, 6: 1}, Find(0)=1, Find(3)=2, Add (0,3)=39 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=41 Succeeded, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=61 Failed, w=175\",\"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=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=83 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,1],[0,2,55],[0,3,19],[0,4,18],[0,5,97],[0,6,76],[1,3,72],[1,4,73],[1,5,52],[2,4,26],[2,6,97],[3,4,55],[3,5,75],[3,6,22],[4,5,39],[5,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,55],[0,3,19],[0,4,18],[0,5,97],[0,6,76],[1,3,72],[1,4,73],[1,5,52],[2,4,26],[2,6,97],[3,4,55],[3,5,75],[3,6,22],[4,5,39],[5,6,1]]}",
"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\":[[0,1,1],[0,2,55],[0,3,19],[0,4,18],[0,5,97],[0,6,76],[1,3,72],[1,4,73],[1,5,52],[2,4,26],[2,6,97],[3,4,55],[3,5,75],[3,6,22],[4,5,39],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (2,4)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,55],[0,3,19],[0,4,18],[0,5,97],[0,6,76],[1,3,72],[1,4,73],[1,5,52],[2,4,26],[2,6,97],[3,4,55],[3,5,75],[3,6,22],[4,5,39],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (5,6)=1, w=2\",\"Add (0,4)=18, w=20\",\"Add (0,3)=19, w=39\",\"Add (3,6)=22, w=61\",\"Add (2,4)=26, 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\":[[0,1,1],[0,2,55],[0,3,19],[0,4,18],[0,5,97],[0,6,76],[1,3,72],[1,4,73],[1,5,52],[2,4,26],[2,6,97],[3,4,55],[3,5,75],[3,6,22],[4,5,39],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (5,6)=1 Succeeded, w=2\",\"Add (0,4)=18 Succeeded, w=20\",\"Add (0,3)=19 Succeeded, w=39\",\"Add (3,6)=22 Succeeded, w=61\",\"Add (2,4)=26 Succeeded, w=87\",\"Add (4,5)=39 Failed, w=87\",\"Add (1,5)=52 Failed, w=87\",\"Add (0,2)=55 Failed, w=87\",\"Add (3,4)=55 Failed, w=87\",\"Add (1,3)=72 Failed, w=87\",\"Add (1,4)=73 Failed, w=87\",\"Add (3,5)=75 Failed, w=87\",\"Add (0,6)=76 Failed, w=87\",\"Add (0,5)=97 Failed, w=87\",\"Add (2,6)=97 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\":[[0,1,1],[0,2,55],[0,3,19],[0,4,18],[0,5,97],[0,6,76],[1,3,72],[1,4,73],[1,5,52],[2,4,26],[2,6,97],[3,4,55],[3,5,75],[3,6,22],[4,5,39],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(5,6)=1,(0,4)=18,(0,3)=19,(3,6)=22,(2,4)=26,(4,5)=39,(1,5)=52,(0,2)=55,(3,4)=55,(1,3)=72,(1,4)=73,(3,5)=75,(0,6)=76,(0,5)=97,(2,6)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=20\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=39\",\"Find(3)=0, Find(6)=5, Add (3,6)=22 Succeeded, w=61\",\"Find(2)=2, Find(4)=0, Add (2,4)=26 Succeeded, w=87\",\"Find(4)=0, Find(5)=0, Add (4,5)=39 Failed, w=87\",\"Find(1)=0, Find(5)=0, Add (1,5)=52 Failed, w=87\",\"Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=87\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=87\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=87\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=87\",\"Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=87\",\"Find(0)=0, Find(6)=0, Add (0,6)=76 Failed, w=87\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=87\",\"Find(2)=0, Find(6)=0, Add (2,6)=97 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\":[[0,1,1],[0,2,55],[0,3,19],[0,4,18],[0,5,97],[0,6,76],[1,3,72],[1,4,73],[1,5,52],[2,4,26],[2,6,97],[3,4,55],[3,5,75],[3,6,22],[4,5,39],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(5,6)=1,(0,4)=18,(0,3)=19,(3,6)=22,(2,4)=26,(4,5)=39,(1,5)=52,(0,2)=55,(3,4)=55,(1,3)=72,(1,4)=73,(3,5)=75,(0,6)=76,(0,5)=97,(2,6)=97]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(6)=5, Add (3,6)=22 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(2)=2, Find(4)=0, Add (2,4)=26 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(4)=0, Find(5)=0, Add (4,5)=39 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(5)=0, Add (1,5)=52 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=76 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,19],[0,2,93],[0,5,62],[1,3,93],[1,5,11],[2,3,68],[2,4,47],[2,5,33],[3,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,93],[0,5,62],[1,3,93],[1,5,11],[2,3,68],[2,4,47],[2,5,33],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,93],[0,5,62],[1,3,93],[1,5,11],[2,3,68],[2,4,47],[2,5,33],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,93],[0,5,62],[1,3,93],[1,5,11],[2,3,68],[2,4,47],[2,5,33],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11, w=11\",\"Add (0,1)=19, w=30\",\"Add (2,5)=33, w=63\",\"Add (2,4)=47, w=110\",\"Add (2,3)=68, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,93],[0,5,62],[1,3,93],[1,5,11],[2,3,68],[2,4,47],[2,5,33],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11 Succeeded, w=11\",\"Add (0,1)=19 Succeeded, w=30\",\"Add (2,5)=33 Succeeded, w=63\",\"Add (2,4)=47 Succeeded, w=110\",\"Add (0,5)=62 Failed, w=110\",\"Add (2,3)=68 Succeeded, w=178\",\"Add (0,2)=93 Failed, w=178\",\"Add (1,3)=93 Failed, w=178\",\"Add (3,5)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,93],[0,5,62],[1,3,93],[1,5,11],[2,3,68],[2,4,47],[2,5,33],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(0,1)=19,(2,5)=33,(2,4)=47,(0,5)=62,(2,3)=68,(0,2)=93,(1,3)=93,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Find(2)=2, Find(5)=1, Add (2,5)=33 Succeeded, w=63\",\"Find(2)=1, Find(4)=4, Add (2,4)=47 Succeeded, w=110\",\"Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=110\",\"Find(2)=1, Find(3)=3, Add (2,3)=68 Succeeded, w=178\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=178\",\"Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=178\",\"Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,93],[0,5,62],[1,3,93],[1,5,11],[2,3,68],[2,4,47],[2,5,33],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(0,1)=19,(2,5)=33,(2,4)=47,(0,5)=62,(2,3)=68,(0,2)=93,(1,3)=93,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=33 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=1, Find(4)=4, Add (2,4)=47 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=3, Add (2,3)=68 Succeeded, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,54],[0,2,38],[0,3,56],[0,4,31],[0,5,34],[1,3,65],[2,3,72],[2,4,37],[2,5,32],[3,4,81],[3,5,19],[4,5,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,38],[0,3,56],[0,4,31],[0,5,34],[1,3,65],[2,3,72],[2,4,37],[2,5,32],[3,4,81],[3,5,19],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,38],[0,3,56],[0,4,31],[0,5,34],[1,3,65],[2,3,72],[2,4,37],[2,5,32],[3,4,81],[3,5,19],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,38],[0,3,56],[0,4,31],[0,5,34],[1,3,65],[2,3,72],[2,4,37],[2,5,32],[3,4,81],[3,5,19],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4, w=4\",\"Add (3,5)=19, w=23\",\"Add (0,4)=31, w=54\",\"Add (2,5)=32, w=86\",\"Add (0,1)=54, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,38],[0,3,56],[0,4,31],[0,5,34],[1,3,65],[2,3,72],[2,4,37],[2,5,32],[3,4,81],[3,5,19],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4 Succeeded, w=4\",\"Add (3,5)=19 Succeeded, w=23\",\"Add (0,4)=31 Succeeded, w=54\",\"Add (2,5)=32 Succeeded, w=86\",\"Add (0,5)=34 Failed, w=86\",\"Add (2,4)=37 Failed, w=86\",\"Add (0,2)=38 Failed, w=86\",\"Add (0,1)=54 Succeeded, w=140\",\"Add (0,3)=56 Failed, w=140\",\"Add (1,3)=65 Failed, w=140\",\"Add (2,3)=72 Failed, w=140\",\"Add (3,4)=81 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,38],[0,3,56],[0,4,31],[0,5,34],[1,3,65],[2,3,72],[2,4,37],[2,5,32],[3,4,81],[3,5,19],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(3,5)=19,(0,4)=31,(2,5)=32,(0,5)=34,(2,4)=37,(0,2)=38,(0,1)=54,(0,3)=56,(1,3)=65,(2,3)=72,(3,4)=81]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=4, Add (3,5)=19 Succeeded, w=23\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=54\",\"Find(2)=2, Find(5)=4, Add (2,5)=32 Succeeded, w=86\",\"Find(0)=4, Find(5)=4, Add (0,5)=34 Failed, w=86\",\"Find(2)=4, Find(4)=4, Add (2,4)=37 Failed, w=86\",\"Find(0)=4, Find(2)=4, Add (0,2)=38 Failed, w=86\",\"Find(0)=4, Find(1)=1, Add (0,1)=54 Succeeded, w=140\",\"Find(0)=4, Find(3)=4, Add (0,3)=56 Failed, w=140\",\"Find(1)=4, Find(3)=4, Add (1,3)=65 Failed, w=140\",\"Find(2)=4, Find(3)=4, Add (2,3)=72 Failed, w=140\",\"Find(3)=4, Find(4)=4, Add (3,4)=81 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,38],[0,3,56],[0,4,31],[0,5,34],[1,3,65],[2,3,72],[2,4,37],[2,5,32],[3,4,81],[3,5,19],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(3,5)=19,(0,4)=31,(2,5)=32,(0,5)=34,(2,4)=37,(0,2)=38,(0,1)=54,(0,3)=56,(1,3)=65,(2,3)=72,(3,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=19 Succeeded, w=23\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=54\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=32 Succeeded, w=86\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(5)=4, Add (0,5)=34 Failed, w=86\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=37 Failed, w=86\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=38 Failed, w=86\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=1, Add (0,1)=54 Succeeded, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=56 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=65 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=4, Add (2,3)=72 Failed, w=140\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=81 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,2,42],[0,3,20],[1,3,90],[1,4,19],[2,3,68],[2,4,4],[3,4,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,42],[0,3,20],[1,3,90],[1,4,19],[2,3,68],[2,4,4],[3,4,74]]}",
"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\":[[0,1,49],[0,2,42],[0,3,20],[1,3,90],[1,4,19],[2,3,68],[2,4,4],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,42],[0,3,20],[1,3,90],[1,4,19],[2,3,68],[2,4,4],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (1,4)=19, w=23\",\"Add (0,3)=20, w=43\",\"Add (0,2)=42, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,42],[0,3,20],[1,3,90],[1,4,19],[2,3,68],[2,4,4],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (1,4)=19 Succeeded, w=23\",\"Add (0,3)=20 Succeeded, w=43\",\"Add (0,2)=42 Succeeded, w=85\",\"Add (0,1)=49 Failed, w=85\",\"Add (2,3)=68 Failed, w=85\",\"Add (3,4)=74 Failed, w=85\",\"Add (1,3)=90 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\":[[0,1,49],[0,2,42],[0,3,20],[1,3,90],[1,4,19],[2,3,68],[2,4,4],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(1,4)=19,(0,3)=20,(0,2)=42,(0,1)=49,(2,3)=68,(3,4)=74,(1,3)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=2, Add (1,4)=19 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=43\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=85\",\"Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=85\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=85\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=85\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 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\":[[0,1,49],[0,2,42],[0,3,20],[1,3,90],[1,4,19],[2,3,68],[2,4,4],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(1,4)=19,(0,3)=20,(0,2)=42,(0,1)=49,(2,3)=68,(3,4)=74,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=19 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=43\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,47],[0,2,95],[0,3,25],[0,4,21],[0,5,84],[0,6,29],[1,2,25],[1,4,93],[1,5,51],[1,6,8],[2,3,76],[2,4,39],[2,5,54],[2,6,6],[3,4,44],[3,5,7],[3,6,60],[4,5,83],[4,6,34],[5,6,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,95],[0,3,25],[0,4,21],[0,5,84],[0,6,29],[1,2,25],[1,4,93],[1,5,51],[1,6,8],[2,3,76],[2,4,39],[2,5,54],[2,6,6],[3,4,44],[3,5,7],[3,6,60],[4,5,83],[4,6,34],[5,6,55]]}",
"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],\"edges\":[[0,1,47],[0,2,95],[0,3,25],[0,4,21],[0,5,84],[0,6,29],[1,2,25],[1,4,93],[1,5,51],[1,6,8],[2,3,76],[2,4,39],[2,5,54],[2,6,6],[3,4,44],[3,5,7],[3,6,60],[4,5,83],[4,6,34],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,6)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,95],[0,3,25],[0,4,21],[0,5,84],[0,6,29],[1,2,25],[1,4,93],[1,5,51],[1,6,8],[2,3,76],[2,4,39],[2,5,54],[2,6,6],[3,4,44],[3,5,7],[3,6,60],[4,5,83],[4,6,34],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6, w=6\",\"Add (3,5)=7, w=13\",\"Add (1,6)=8, w=21\",\"Add (0,4)=21, w=42\",\"Add (0,3)=25, w=67\",\"Add (0,6)=29, 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],\"edges\":[[0,1,47],[0,2,95],[0,3,25],[0,4,21],[0,5,84],[0,6,29],[1,2,25],[1,4,93],[1,5,51],[1,6,8],[2,3,76],[2,4,39],[2,5,54],[2,6,6],[3,4,44],[3,5,7],[3,6,60],[4,5,83],[4,6,34],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6 Succeeded, w=6\",\"Add (3,5)=7 Succeeded, w=13\",\"Add (1,6)=8 Succeeded, w=21\",\"Add (0,4)=21 Succeeded, w=42\",\"Add (0,3)=25 Succeeded, w=67\",\"Add (1,2)=25 Failed, w=67\",\"Add (0,6)=29 Succeeded, w=96\",\"Add (4,6)=34 Failed, w=96\",\"Add (2,4)=39 Failed, w=96\",\"Add (3,4)=44 Failed, w=96\",\"Add (0,1)=47 Failed, w=96\",\"Add (1,5)=51 Failed, w=96\",\"Add (2,5)=54 Failed, w=96\",\"Add (5,6)=55 Failed, w=96\",\"Add (3,6)=60 Failed, w=96\",\"Add (2,3)=76 Failed, w=96\",\"Add (4,5)=83 Failed, w=96\",\"Add (0,5)=84 Failed, w=96\",\"Add (1,4)=93 Failed, w=96\",\"Add (0,2)=95 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],\"edges\":[[0,1,47],[0,2,95],[0,3,25],[0,4,21],[0,5,84],[0,6,29],[1,2,25],[1,4,93],[1,5,51],[1,6,8],[2,3,76],[2,4,39],[2,5,54],[2,6,6],[3,4,44],[3,5,7],[3,6,60],[4,5,83],[4,6,34],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(3,5)=7,(1,6)=8,(0,4)=21,(0,3)=25,(1,2)=25,(0,6)=29,(4,6)=34,(2,4)=39,(3,4)=44,(0,1)=47,(1,5)=51,(2,5)=54,(5,6)=55,(3,6)=60,(2,3)=76,(4,5)=83,(0,5)=84,(1,4)=93,(0,2)=95]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=13\",\"Find(1)=1, Find(6)=2, Add (1,6)=8 Succeeded, w=21\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=42\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=67\",\"Find(1)=2, Find(2)=2, Add (1,2)=25 Failed, w=67\",\"Find(0)=0, Find(6)=2, Add (0,6)=29 Succeeded, w=96\",\"Find(4)=0, Find(6)=0, Add (4,6)=34 Failed, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=47 Failed, w=96\",\"Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=96\",\"Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=96\",\"Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=96\",\"Find(3)=0, Find(6)=0, Add (3,6)=60 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=96\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=96\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=96\",\"Find(0)=0, Find(2)=0, Add (0,2)=95 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],\"edges\":[[0,1,47],[0,2,95],[0,3,25],[0,4,21],[0,5,84],[0,6,29],[1,2,25],[1,4,93],[1,5,51],[1,6,8],[2,3,76],[2,4,39],[2,5,54],[2,6,6],[3,4,44],[3,5,7],[3,6,60],[4,5,83],[4,6,34],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(3,5)=7,(1,6)=8,(0,4)=21,(0,3)=25,(1,2)=25,(0,6)=29,(4,6)=34,(2,4)=39,(3,4)=44,(0,1)=47,(1,5)=51,(2,5)=54,(5,6)=55,(3,6)=60,(2,3)=76,(4,5)=83,(0,5)=84,(1,4)=93,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=8 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 3, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=42\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 0, 5: 3, 6: 2}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=67\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 0, 5: 3, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=25 Failed, w=67\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 3, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=29 Succeeded, w=96\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=34 Failed, w=96\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=96\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=47 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=60 Failed, w=96\",\"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=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[0,2,76],[0,3,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,76],[0,3,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,76],[0,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,76],[0,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (0,3)=20, w=34\",\"Add (0,2)=76, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,76],[0,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (0,3)=20 Succeeded, w=34\",\"Add (0,2)=76 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,76],[0,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,3)=20,(0,2)=76]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,76],[0,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,3)=20,(0,2)=76]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,16],[0,3,79],[0,4,0],[1,2,78],[2,3,33],[2,4,99],[3,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,16],[0,3,79],[0,4,0],[1,2,78],[2,3,33],[2,4,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,16],[0,3,79],[0,4,0],[1,2,78],[2,3,33],[2,4,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,16],[0,3,79],[0,4,0],[1,2,78],[2,3,33],[2,4,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (0,2)=16, w=16\",\"Add (2,3)=33, w=49\",\"Add (1,2)=78, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,16],[0,3,79],[0,4,0],[1,2,78],[2,3,33],[2,4,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (0,2)=16 Succeeded, w=16\",\"Add (2,3)=33 Succeeded, w=49\",\"Add (3,4)=42 Failed, w=49\",\"Add (1,2)=78 Succeeded, w=127\",\"Add (0,3)=79 Failed, w=127\",\"Add (0,1)=80 Failed, w=127\",\"Add (2,4)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,16],[0,3,79],[0,4,0],[1,2,78],[2,3,33],[2,4,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,2)=16,(2,3)=33,(3,4)=42,(1,2)=78,(0,3)=79,(0,1)=80,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Find(2)=0, Find(3)=3, Add (2,3)=33 Succeeded, w=49\",\"Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=49\",\"Find(1)=1, Find(2)=0, Add (1,2)=78 Succeeded, w=127\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=127\",\"Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=127\",\"Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,16],[0,3,79],[0,4,0],[1,2,78],[2,3,33],[2,4,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,2)=16,(2,3)=33,(3,4)=42,(1,2)=78,(0,3)=79,(0,1)=80,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=33 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=78 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,59],[2,3,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=59, w=59\",\"Add (2,3)=61, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=59 Succeeded, w=59\",\"Add (2,3)=61 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=59,(2,3)=61]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=59\",\"Find(2)=1, Find(3)=3, Add (2,3)=61 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,59],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=59,(2,3)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=59 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=61 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,24],[0,2,5],[0,3,63],[1,2,79],[1,3,23],[2,3,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,5],[0,3,63],[1,2,79],[1,3,23],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,5],[0,3,63],[1,2,79],[1,3,23],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,5],[0,3,63],[1,2,79],[1,3,23],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,3)=23, w=28\",\"Add (0,1)=24, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,5],[0,3,63],[1,2,79],[1,3,23],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,3)=23 Succeeded, w=28\",\"Add (0,1)=24 Succeeded, w=52\",\"Add (0,3)=63 Failed, w=52\",\"Add (1,2)=79 Failed, w=52\",\"Add (2,3)=90 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,5],[0,3,63],[1,2,79],[1,3,23],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,3)=23,(0,1)=24,(0,3)=63,(1,2)=79,(2,3)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=52\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=52\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=52\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,5],[0,3,63],[1,2,79],[1,3,23],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,3)=23,(0,1)=24,(0,3)=63,(1,2)=79,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,91],[0,2,84],[0,3,43],[0,4,36],[0,5,6],[0,6,1],[1,2,84],[1,3,24],[1,4,68],[1,5,53],[1,6,19],[2,3,77],[2,4,68],[2,5,18],[2,6,11],[3,4,97],[3,5,81],[3,6,30],[4,5,0],[4,6,67],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,84],[0,3,43],[0,4,36],[0,5,6],[0,6,1],[1,2,84],[1,3,24],[1,4,68],[1,5,53],[1,6,19],[2,3,77],[2,4,68],[2,5,18],[2,6,11],[3,4,97],[3,5,81],[3,6,30],[4,5,0],[4,6,67],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,84],[0,3,43],[0,4,36],[0,5,6],[0,6,1],[1,2,84],[1,3,24],[1,4,68],[1,5,53],[1,6,19],[2,3,77],[2,4,68],[2,5,18],[2,6,11],[3,4,97],[3,5,81],[3,6,30],[4,5,0],[4,6,67],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (1,3)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,84],[0,3,43],[0,4,36],[0,5,6],[0,6,1],[1,2,84],[1,3,24],[1,4,68],[1,5,53],[1,6,19],[2,3,77],[2,4,68],[2,5,18],[2,6,11],[3,4,97],[3,5,81],[3,6,30],[4,5,0],[4,6,67],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (0,6)=1, w=1\",\"Add (0,5)=6, w=7\",\"Add (2,6)=11, w=18\",\"Add (1,6)=19, w=37\",\"Add (1,3)=24, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,84],[0,3,43],[0,4,36],[0,5,6],[0,6,1],[1,2,84],[1,3,24],[1,4,68],[1,5,53],[1,6,19],[2,3,77],[2,4,68],[2,5,18],[2,6,11],[3,4,97],[3,5,81],[3,6,30],[4,5,0],[4,6,67],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (0,6)=1 Succeeded, w=1\",\"Add (0,5)=6 Succeeded, w=7\",\"Add (2,6)=11 Succeeded, w=18\",\"Add (2,5)=18 Failed, w=18\",\"Add (1,6)=19 Succeeded, w=37\",\"Add (1,3)=24 Succeeded, w=61\",\"Add (3,6)=30 Failed, w=61\",\"Add (0,4)=36 Failed, w=61\",\"Add (5,6)=37 Failed, w=61\",\"Add (0,3)=43 Failed, w=61\",\"Add (1,5)=53 Failed, w=61\",\"Add (4,6)=67 Failed, w=61\",\"Add (1,4)=68 Failed, w=61\",\"Add (2,4)=68 Failed, w=61\",\"Add (2,3)=77 Failed, w=61\",\"Add (3,5)=81 Failed, w=61\",\"Add (0,2)=84 Failed, w=61\",\"Add (1,2)=84 Failed, w=61\",\"Add (0,1)=91 Failed, w=61\",\"Add (3,4)=97 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,84],[0,3,43],[0,4,36],[0,5,6],[0,6,1],[1,2,84],[1,3,24],[1,4,68],[1,5,53],[1,6,19],[2,3,77],[2,4,68],[2,5,18],[2,6,11],[3,4,97],[3,5,81],[3,6,30],[4,5,0],[4,6,67],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,6)=1,(0,5)=6,(2,6)=11,(2,5)=18,(1,6)=19,(1,3)=24,(3,6)=30,(0,4)=36,(5,6)=37,(0,3)=43,(1,5)=53,(4,6)=67,(1,4)=68,(2,4)=68,(2,3)=77,(3,5)=81,(0,2)=84,(1,2)=84,(0,1)=91,(3,4)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=4, Add (0,5)=6 Succeeded, w=7\",\"Find(2)=2, Find(6)=0, Add (2,6)=11 Succeeded, w=18\",\"Find(2)=0, Find(5)=0, Add (2,5)=18 Failed, w=18\",\"Find(1)=1, Find(6)=0, Add (1,6)=19 Succeeded, w=37\",\"Find(1)=0, Find(3)=3, Add (1,3)=24 Succeeded, w=61\",\"Find(3)=0, Find(6)=0, Add (3,6)=30 Failed, w=61\",\"Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=61\",\"Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=61\",\"Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=61\",\"Find(1)=0, Find(5)=0, Add (1,5)=53 Failed, w=61\",\"Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=61\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=61\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=61\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=61\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=61\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=61\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=61\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=61\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,84],[0,3,43],[0,4,36],[0,5,6],[0,6,1],[1,2,84],[1,3,24],[1,4,68],[1,5,53],[1,6,19],[2,3,77],[2,4,68],[2,5,18],[2,6,11],[3,4,97],[3,5,81],[3,6,30],[4,5,0],[4,6,67],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,6)=1,(0,5)=6,(2,6)=11,(2,5)=18,(1,6)=19,(1,3)=24,(3,6)=30,(0,4)=36,(5,6)=37,(0,3)=43,(1,5)=53,(4,6)=67,(1,4)=68,(2,4)=68,(2,3)=77,(3,5)=81,(0,2)=84,(1,2)=84,(0,1)=91,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(5)=4, Add (0,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 4, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=18 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=24 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=30 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=53 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,66],[0,2,87],[0,5,31],[0,7,77],[1,2,92],[1,3,57],[1,4,18],[1,5,64],[1,6,73],[1,7,97],[2,3,28],[2,4,18],[2,5,81],[2,7,94],[3,4,75],[3,5,44],[3,6,98],[4,5,56],[4,6,58],[4,7,78],[5,7,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,87],[0,5,31],[0,7,77],[1,2,92],[1,3,57],[1,4,18],[1,5,64],[1,6,73],[1,7,97],[2,3,28],[2,4,18],[2,5,81],[2,7,94],[3,4,75],[3,5,44],[3,6,98],[4,5,56],[4,6,58],[4,7,78],[5,7,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,87],[0,5,31],[0,7,77],[1,2,92],[1,3,57],[1,4,18],[1,5,64],[1,6,73],[1,7,97],[2,3,28],[2,4,18],[2,5,81],[2,7,94],[3,4,75],[3,5,44],[3,6,98],[4,5,56],[4,6,58],[4,7,78],[5,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (4,6)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,87],[0,5,31],[0,7,77],[1,2,92],[1,3,57],[1,4,18],[1,5,64],[1,6,73],[1,7,97],[2,3,28],[2,4,18],[2,5,81],[2,7,94],[3,4,75],[3,5,44],[3,6,98],[4,5,56],[4,6,58],[4,7,78],[5,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=14, w=14\",\"Add (1,4)=18, w=32\",\"Add (2,4)=18, w=50\",\"Add (2,3)=28, w=78\",\"Add (0,5)=31, w=109\",\"Add (3,5)=44, w=153\",\"Add (4,6)=58, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,87],[0,5,31],[0,7,77],[1,2,92],[1,3,57],[1,4,18],[1,5,64],[1,6,73],[1,7,97],[2,3,28],[2,4,18],[2,5,81],[2,7,94],[3,4,75],[3,5,44],[3,6,98],[4,5,56],[4,6,58],[4,7,78],[5,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=14 Succeeded, w=14\",\"Add (1,4)=18 Succeeded, w=32\",\"Add (2,4)=18 Succeeded, w=50\",\"Add (2,3)=28 Succeeded, w=78\",\"Add (0,5)=31 Succeeded, w=109\",\"Add (3,5)=44 Succeeded, w=153\",\"Add (4,5)=56 Failed, w=153\",\"Add (1,3)=57 Failed, w=153\",\"Add (4,6)=58 Succeeded, w=211\",\"Add (1,5)=64 Failed, w=211\",\"Add (0,1)=66 Failed, w=211\",\"Add (1,6)=73 Failed, w=211\",\"Add (3,4)=75 Failed, w=211\",\"Add (0,7)=77 Failed, w=211\",\"Add (4,7)=78 Failed, w=211\",\"Add (2,5)=81 Failed, w=211\",\"Add (0,2)=87 Failed, w=211\",\"Add (1,2)=92 Failed, w=211\",\"Add (2,7)=94 Failed, w=211\",\"Add (1,7)=97 Failed, w=211\",\"Add (3,6)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,87],[0,5,31],[0,7,77],[1,2,92],[1,3,57],[1,4,18],[1,5,64],[1,6,73],[1,7,97],[2,3,28],[2,4,18],[2,5,81],[2,7,94],[3,4,75],[3,5,44],[3,6,98],[4,5,56],[4,6,58],[4,7,78],[5,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=14,(1,4)=18,(2,4)=18,(2,3)=28,(0,5)=31,(3,5)=44,(4,5)=56,(1,3)=57,(4,6)=58,(1,5)=64,(0,1)=66,(1,6)=73,(3,4)=75,(0,7)=77,(4,7)=78,(2,5)=81,(0,2)=87,(1,2)=92,(2,7)=94,(1,7)=97,(3,6)=98]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=14 Succeeded, w=14\",\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=32\",\"Find(2)=2, Find(4)=1, Add (2,4)=18 Succeeded, w=50\",\"Find(2)=1, Find(3)=3, Add (2,3)=28 Succeeded, w=78\",\"Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=109\",\"Find(3)=1, Find(5)=5, Add (3,5)=44 Succeeded, w=153\",\"Find(4)=1, Find(5)=1, Add (4,5)=56 Failed, w=153\",\"Find(1)=1, Find(3)=1, Add (1,3)=57 Failed, w=153\",\"Find(4)=1, Find(6)=6, Add (4,6)=58 Succeeded, w=211\",\"Find(1)=1, Find(5)=1, Add (1,5)=64 Failed, w=211\",\"Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=211\",\"Find(1)=1, Find(6)=1, Add (1,6)=73 Failed, w=211\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=211\",\"Find(0)=1, Find(7)=1, Add (0,7)=77 Failed, w=211\",\"Find(4)=1, Find(7)=1, Add (4,7)=78 Failed, w=211\",\"Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=211\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=211\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=211\",\"Find(2)=1, Find(7)=1, Add (2,7)=94 Failed, w=211\",\"Find(1)=1, Find(7)=1, Add (1,7)=97 Failed, w=211\",\"Find(3)=1, Find(6)=1, Add (3,6)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,87],[0,5,31],[0,7,77],[1,2,92],[1,3,57],[1,4,18],[1,5,64],[1,6,73],[1,7,97],[2,3,28],[2,4,18],[2,5,81],[2,7,94],[3,4,75],[3,5,44],[3,6,98],[4,5,56],[4,6,58],[4,7,78],[5,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=14,(1,4)=18,(2,4)=18,(2,3)=28,(0,5)=31,(3,5)=44,(4,5)=56,(1,3)=57,(4,6)=58,(1,5)=64,(0,1)=66,(1,6)=73,(3,4)=75,(0,7)=77,(4,7)=78,(2,5)=81,(0,2)=87,(1,2)=92,(2,7)=94,(1,7)=97,(3,6)=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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(4)=1, Add (2,4)=18 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(2)=1, Find(3)=3, Add (2,3)=28 Succeeded, w=78\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=109\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(3)=1, Find(5)=5, Add (3,5)=44 Succeeded, w=153\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(4)=1, Find(5)=1, Add (4,5)=56 Failed, w=153\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(1)=1, Find(3)=1, Add (1,3)=57 Failed, w=153\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(4)=1, Find(6)=6, Add (4,6)=58 Succeeded, w=211\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(5)=1, Add (1,5)=64 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(6)=1, Add (1,6)=73 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=211\",\"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)=77 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=78 Failed, w=211\",\"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)=81 Failed, w=211\",\"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)=87 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=211\",\"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)=94 Failed, w=211\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=97 Failed, w=211\",\"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)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,7],[0,2,29],[0,3,70],[1,3,1],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,29],[0,3,70],[1,3,1],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,29],[0,3,70],[1,3,1],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,29],[0,3,70],[1,3,1],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,1)=7, w=8\",\"Add (0,2)=29, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,29],[0,3,70],[1,3,1],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,1)=7 Succeeded, w=8\",\"Add (0,2)=29 Succeeded, w=37\",\"Add (2,3)=45 Failed, w=37\",\"Add (0,3)=70 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,29],[0,3,70],[1,3,1],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,1)=7,(0,2)=29,(2,3)=45,(0,3)=70]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=8\",\"Find(0)=1, Find(2)=2, Add (0,2)=29 Succeeded, w=37\",\"Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=37\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,29],[0,3,70],[1,3,1],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,1)=7,(0,2)=29,(2,3)=45,(0,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=29 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,3,69],[0,4,87],[1,3,45],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,3,69],[0,4,87],[1,3,45],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,3,69],[0,4,87],[1,3,45],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,3,69],[0,4,87],[1,3,45],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=45, w=45\",\"Add (2,3)=56, w=101\",\"Add (0,3)=69, w=170\",\"Add (0,4)=87, w=257\"],\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,3,69],[0,4,87],[1,3,45],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=45 Succeeded, w=45\",\"Add (2,3)=56 Succeeded, w=101\",\"Add (0,3)=69 Succeeded, w=170\",\"Add (0,4)=87 Succeeded, w=257\",\"Add (0,1)=89 Failed, w=257\"],\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,3,69],[0,4,87],[1,3,45],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=45,(2,3)=56,(0,3)=69,(0,4)=87,(0,1)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=45\",\"Find(2)=2, Find(3)=1, Add (2,3)=56 Succeeded, w=101\",\"Find(0)=0, Find(3)=1, Add (0,3)=69 Succeeded, w=170\",\"Find(0)=1, Find(4)=4, Add (0,4)=87 Succeeded, w=257\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=257\"],\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,3,69],[0,4,87],[1,3,45],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=45,(2,3)=56,(0,3)=69,(0,4)=87,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=56 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=69 Succeeded, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=87 Succeeded, w=257\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=257\"],\"Answer\":257}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,27],[0,2,83],[0,3,48],[1,2,13],[2,3,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,83],[0,3,48],[1,2,13],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,83],[0,3,48],[1,2,13],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,83],[0,3,48],[1,2,13],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (0,1)=27, w=40\",\"Add (0,3)=48, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,83],[0,3,48],[1,2,13],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (0,1)=27 Succeeded, w=40\",\"Add (0,3)=48 Succeeded, w=88\",\"Add (0,2)=83 Failed, w=88\",\"Add (2,3)=89 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,83],[0,3,48],[1,2,13],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(0,1)=27,(0,3)=48,(0,2)=83,(2,3)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=40\",\"Find(0)=1, Find(3)=3, Add (0,3)=48 Succeeded, w=88\",\"Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=88\",\"Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,27],[0,2,83],[0,3,48],[1,2,13],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(0,1)=27,(0,3)=48,(0,2)=83,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=48 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,96],[0,3,56],[0,4,16],[0,5,32],[1,3,77],[1,4,88],[1,5,17],[2,5,30],[3,4,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,3,56],[0,4,16],[0,5,32],[1,3,77],[1,4,88],[1,5,17],[2,5,30],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,3,56],[0,4,16],[0,5,32],[1,3,77],[1,4,88],[1,5,17],[2,5,30],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (0,5)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,3,56],[0,4,16],[0,5,32],[1,3,77],[1,4,88],[1,5,17],[2,5,30],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=14, w=14\",\"Add (0,4)=16, w=30\",\"Add (1,5)=17, w=47\",\"Add (2,5)=30, w=77\",\"Add (0,5)=32, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,3,56],[0,4,16],[0,5,32],[1,3,77],[1,4,88],[1,5,17],[2,5,30],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=14 Succeeded, w=14\",\"Add (0,4)=16 Succeeded, w=30\",\"Add (1,5)=17 Succeeded, w=47\",\"Add (2,5)=30 Succeeded, w=77\",\"Add (0,5)=32 Succeeded, w=109\",\"Add (0,3)=56 Failed, w=109\",\"Add (1,3)=77 Failed, w=109\",\"Add (1,4)=88 Failed, w=109\",\"Add (0,2)=96 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,3,56],[0,4,16],[0,5,32],[1,3,77],[1,4,88],[1,5,17],[2,5,30],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=14,(0,4)=16,(1,5)=17,(2,5)=30,(0,5)=32,(0,3)=56,(1,3)=77,(1,4)=88,(0,2)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=14\",\"Find(0)=0, Find(4)=3, Add (0,4)=16 Succeeded, w=30\",\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=47\",\"Find(2)=2, Find(5)=1, Add (2,5)=30 Succeeded, w=77\",\"Find(0)=3, Find(5)=1, Add (0,5)=32 Succeeded, w=109\",\"Find(0)=3, Find(3)=3, Add (0,3)=56 Failed, w=109\",\"Find(1)=3, Find(3)=3, Add (1,3)=77 Failed, w=109\",\"Find(1)=3, Find(4)=3, Add (1,4)=88 Failed, w=109\",\"Find(0)=3, Find(2)=3, Add (0,2)=96 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,96],[0,3,56],[0,4,16],[0,5,32],[1,3,77],[1,4,88],[1,5,17],[2,5,30],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=14,(0,4)=16,(1,5)=17,(2,5)=30,(0,5)=32,(0,3)=56,(1,3)=77,(1,4)=88,(0,2)=96]\",\"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: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(4)=3, Add (0,4)=16 Succeeded, w=30\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=47\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=30 Succeeded, w=77\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(5)=1, Add (0,5)=32 Succeeded, w=109\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(3)=3, Add (0,3)=56 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(1)=3, Find(3)=3, Add (1,3)=77 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(1)=3, Find(4)=3, Add (1,4)=88 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(2)=3, Add (0,2)=96 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,92],[1,3,55],[2,4,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[1,3,55],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[1,3,55],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[1,3,55],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=55, w=55\",\"Add (2,4)=60, w=115\",\"Add (0,2)=92, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[1,3,55],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=55 Succeeded, w=55\",\"Add (2,4)=60 Succeeded, w=115\",\"Add (0,2)=92 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[1,3,55],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=55,(2,4)=60,(0,2)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=55 Succeeded, w=55\",\"Find(2)=2, Find(4)=4, Add (2,4)=60 Succeeded, w=115\",\"Find(0)=0, Find(2)=2, Add (0,2)=92 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,92],[1,3,55],[2,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=55,(2,4)=60,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=55 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=60 Succeeded, w=115\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=92 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,20],[0,3,56],[0,4,73],[0,5,52],[0,6,46],[1,2,47],[1,3,21],[1,4,15],[1,5,31],[1,6,96],[2,3,62],[2,4,57],[2,5,37],[2,6,95],[3,4,64],[3,5,11],[3,6,4],[4,5,76],[4,6,91],[5,6,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,20],[0,3,56],[0,4,73],[0,5,52],[0,6,46],[1,2,47],[1,3,21],[1,4,15],[1,5,31],[1,6,96],[2,3,62],[2,4,57],[2,5,37],[2,6,95],[3,4,64],[3,5,11],[3,6,4],[4,5,76],[4,6,91],[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\":[[0,1,65],[0,2,20],[0,3,56],[0,4,73],[0,5,52],[0,6,46],[1,2,47],[1,3,21],[1,4,15],[1,5,31],[1,6,96],[2,3,62],[2,4,57],[2,5,37],[2,6,95],[3,4,64],[3,5,11],[3,6,4],[4,5,76],[4,6,91],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (2,5)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,20],[0,3,56],[0,4,73],[0,5,52],[0,6,46],[1,2,47],[1,3,21],[1,4,15],[1,5,31],[1,6,96],[2,3,62],[2,4,57],[2,5,37],[2,6,95],[3,4,64],[3,5,11],[3,6,4],[4,5,76],[4,6,91],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=4, w=4\",\"Add (3,5)=11, w=15\",\"Add (1,4)=15, w=30\",\"Add (0,2)=20, w=50\",\"Add (1,3)=21, w=71\",\"Add (2,5)=37, 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\":[[0,1,65],[0,2,20],[0,3,56],[0,4,73],[0,5,52],[0,6,46],[1,2,47],[1,3,21],[1,4,15],[1,5,31],[1,6,96],[2,3,62],[2,4,57],[2,5,37],[2,6,95],[3,4,64],[3,5,11],[3,6,4],[4,5,76],[4,6,91],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=4 Succeeded, w=4\",\"Add (3,5)=11 Succeeded, w=15\",\"Add (1,4)=15 Succeeded, w=30\",\"Add (0,2)=20 Succeeded, w=50\",\"Add (1,3)=21 Succeeded, w=71\",\"Add (1,5)=31 Failed, w=71\",\"Add (2,5)=37 Succeeded, w=108\",\"Add (0,6)=46 Failed, w=108\",\"Add (1,2)=47 Failed, w=108\",\"Add (0,5)=52 Failed, w=108\",\"Add (5,6)=55 Failed, w=108\",\"Add (0,3)=56 Failed, w=108\",\"Add (2,4)=57 Failed, w=108\",\"Add (2,3)=62 Failed, w=108\",\"Add (3,4)=64 Failed, w=108\",\"Add (0,1)=65 Failed, w=108\",\"Add (0,4)=73 Failed, w=108\",\"Add (4,5)=76 Failed, w=108\",\"Add (4,6)=91 Failed, w=108\",\"Add (2,6)=95 Failed, w=108\",\"Add (1,6)=96 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\":[[0,1,65],[0,2,20],[0,3,56],[0,4,73],[0,5,52],[0,6,46],[1,2,47],[1,3,21],[1,4,15],[1,5,31],[1,6,96],[2,3,62],[2,4,57],[2,5,37],[2,6,95],[3,4,64],[3,5,11],[3,6,4],[4,5,76],[4,6,91],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=4,(3,5)=11,(1,4)=15,(0,2)=20,(1,3)=21,(1,5)=31,(2,5)=37,(0,6)=46,(1,2)=47,(0,5)=52,(5,6)=55,(0,3)=56,(2,4)=57,(2,3)=62,(3,4)=64,(0,1)=65,(0,4)=73,(4,5)=76,(4,6)=91,(2,6)=95,(1,6)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=15\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=50\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=71\",\"Find(1)=1, Find(5)=1, Add (1,5)=31 Failed, w=71\",\"Find(2)=0, Find(5)=1, Add (2,5)=37 Succeeded, w=108\",\"Find(0)=1, Find(6)=1, Add (0,6)=46 Failed, w=108\",\"Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=108\",\"Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=108\",\"Find(5)=1, Find(6)=1, Add (5,6)=55 Failed, w=108\",\"Find(0)=1, Find(3)=1, Add (0,3)=56 Failed, w=108\",\"Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=108\",\"Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=108\",\"Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=108\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=108\",\"Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=108\",\"Find(4)=1, Find(5)=1, Add (4,5)=76 Failed, w=108\",\"Find(4)=1, Find(6)=1, Add (4,6)=91 Failed, w=108\",\"Find(2)=1, Find(6)=1, Add (2,6)=95 Failed, w=108\",\"Find(1)=1, Find(6)=1, Add (1,6)=96 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\":[[0,1,65],[0,2,20],[0,3,56],[0,4,73],[0,5,52],[0,6,46],[1,2,47],[1,3,21],[1,4,15],[1,5,31],[1,6,96],[2,3,62],[2,4,57],[2,5,37],[2,6,95],[3,4,64],[3,5,11],[3,6,4],[4,5,76],[4,6,91],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=4,(3,5)=11,(1,4)=15,(0,2)=20,(1,3)=21,(1,5)=31,(2,5)=37,(0,6)=46,(1,2)=47,(0,5)=52,(5,6)=55,(0,3)=56,(2,4)=57,(2,3)=62,(3,4)=64,(0,1)=65,(0,4)=73,(4,5)=76,(4,6)=91,(2,6)=95,(1,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 3, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(5)=1, Add (1,5)=31 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=0, Find(5)=1, Add (2,5)=37 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=46 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=55 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=56 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=76 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=91 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=95 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=96 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,79],[0,2,32],[0,3,30],[0,4,18],[0,5,35],[1,2,15],[1,3,77],[1,4,60],[1,5,95],[2,3,74],[2,4,81],[2,5,16],[3,4,8],[3,5,26],[4,5,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,32],[0,3,30],[0,4,18],[0,5,35],[1,2,15],[1,3,77],[1,4,60],[1,5,95],[2,3,74],[2,4,81],[2,5,16],[3,4,8],[3,5,26],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,32],[0,3,30],[0,4,18],[0,5,35],[1,2,15],[1,3,77],[1,4,60],[1,5,95],[2,3,74],[2,4,81],[2,5,16],[3,4,8],[3,5,26],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,32],[0,3,30],[0,4,18],[0,5,35],[1,2,15],[1,3,77],[1,4,60],[1,5,95],[2,3,74],[2,4,81],[2,5,16],[3,4,8],[3,5,26],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (1,2)=15, w=23\",\"Add (2,5)=16, w=39\",\"Add (0,4)=18, w=57\",\"Add (3,5)=26, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,32],[0,3,30],[0,4,18],[0,5,35],[1,2,15],[1,3,77],[1,4,60],[1,5,95],[2,3,74],[2,4,81],[2,5,16],[3,4,8],[3,5,26],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (1,2)=15 Succeeded, w=23\",\"Add (2,5)=16 Succeeded, w=39\",\"Add (0,4)=18 Succeeded, w=57\",\"Add (3,5)=26 Succeeded, w=83\",\"Add (0,3)=30 Failed, w=83\",\"Add (0,2)=32 Failed, w=83\",\"Add (0,5)=35 Failed, w=83\",\"Add (1,4)=60 Failed, w=83\",\"Add (2,3)=74 Failed, w=83\",\"Add (1,3)=77 Failed, w=83\",\"Add (0,1)=79 Failed, w=83\",\"Add (2,4)=81 Failed, w=83\",\"Add (4,5)=92 Failed, w=83\",\"Add (1,5)=95 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,32],[0,3,30],[0,4,18],[0,5,35],[1,2,15],[1,3,77],[1,4,60],[1,5,95],[2,3,74],[2,4,81],[2,5,16],[3,4,8],[3,5,26],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(1,2)=15,(2,5)=16,(0,4)=18,(3,5)=26,(0,3)=30,(0,2)=32,(0,5)=35,(1,4)=60,(2,3)=74,(1,3)=77,(0,1)=79,(2,4)=81,(4,5)=92,(1,5)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=23\",\"Find(2)=1, Find(5)=5, Add (2,5)=16 Succeeded, w=39\",\"Find(0)=0, Find(4)=3, Add (0,4)=18 Succeeded, w=57\",\"Find(3)=3, Find(5)=1, Add (3,5)=26 Succeeded, w=83\",\"Find(0)=3, Find(3)=3, Add (0,3)=30 Failed, w=83\",\"Find(0)=3, Find(2)=3, Add (0,2)=32 Failed, w=83\",\"Find(0)=3, Find(5)=3, Add (0,5)=35 Failed, w=83\",\"Find(1)=3, Find(4)=3, Add (1,4)=60 Failed, w=83\",\"Find(2)=3, Find(3)=3, Add (2,3)=74 Failed, w=83\",\"Find(1)=3, Find(3)=3, Add (1,3)=77 Failed, w=83\",\"Find(0)=3, Find(1)=3, Add (0,1)=79 Failed, w=83\",\"Find(2)=3, Find(4)=3, Add (2,4)=81 Failed, w=83\",\"Find(4)=3, Find(5)=3, Add (4,5)=92 Failed, w=83\",\"Find(1)=3, Find(5)=3, Add (1,5)=95 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,32],[0,3,30],[0,4,18],[0,5,35],[1,2,15],[1,3,77],[1,4,60],[1,5,95],[2,3,74],[2,4,81],[2,5,16],[3,4,8],[3,5,26],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(1,2)=15,(2,5)=16,(0,4)=18,(3,5)=26,(0,3)=30,(0,2)=32,(0,5)=35,(1,4)=60,(2,3)=74,(1,3)=77,(0,1)=79,(2,4)=81,(4,5)=92,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=16 Succeeded, w=39\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(4)=3, Add (0,4)=18 Succeeded, w=57\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=26 Succeeded, w=83\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(3)=3, Add (0,3)=30 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(2)=3, Add (0,2)=32 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=35 Failed, w=83\",\"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=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=74 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=77 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=79 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=81 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=92 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=95 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,72],[0,3,60],[0,4,29],[0,5,48],[0,6,18],[1,3,84],[1,5,91],[2,3,76],[2,4,38],[2,6,46],[2,7,87],[3,6,53],[3,7,60],[4,5,25],[4,7,19],[5,6,38],[6,7,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,3,60],[0,4,29],[0,5,48],[0,6,18],[1,3,84],[1,5,91],[2,3,76],[2,4,38],[2,6,46],[2,7,87],[3,6,53],[3,7,60],[4,5,25],[4,7,19],[5,6,38],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":254}",
"role": "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],[0,3,60],[0,4,29],[0,5,48],[0,6,18],[1,3,84],[1,5,91],[2,3,76],[2,4,38],[2,6,46],[2,7,87],[3,6,53],[3,7,60],[4,5,25],[4,7,19],[5,6,38],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (4,7)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (0,1)\"],\"Answer\":254}",
"role": "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],[0,3,60],[0,4,29],[0,5,48],[0,6,18],[1,3,84],[1,5,91],[2,3,76],[2,4,38],[2,6,46],[2,7,87],[3,6,53],[3,7,60],[4,5,25],[4,7,19],[5,6,38],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=18, w=18\",\"Add (4,7)=19, w=37\",\"Add (4,5)=25, w=62\",\"Add (0,4)=29, w=91\",\"Add (2,4)=38, w=129\",\"Add (3,6)=53, w=182\",\"Add (0,1)=72, w=254\"],\"Answer\":254}",
"role": "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],[0,3,60],[0,4,29],[0,5,48],[0,6,18],[1,3,84],[1,5,91],[2,3,76],[2,4,38],[2,6,46],[2,7,87],[3,6,53],[3,7,60],[4,5,25],[4,7,19],[5,6,38],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=18 Succeeded, w=18\",\"Add (4,7)=19 Succeeded, w=37\",\"Add (4,5)=25 Succeeded, w=62\",\"Add (0,4)=29 Succeeded, w=91\",\"Add (6,7)=36 Failed, w=91\",\"Add (2,4)=38 Succeeded, w=129\",\"Add (5,6)=38 Failed, w=129\",\"Add (2,6)=46 Failed, w=129\",\"Add (0,5)=48 Failed, w=129\",\"Add (3,6)=53 Succeeded, w=182\",\"Add (0,3)=60 Failed, w=182\",\"Add (3,7)=60 Failed, w=182\",\"Add (0,1)=72 Succeeded, w=254\",\"Add (2,3)=76 Failed, w=254\",\"Add (1,3)=84 Failed, w=254\",\"Add (2,7)=87 Failed, w=254\",\"Add (1,5)=91 Failed, w=254\"],\"Answer\":254}",
"role": "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],[0,3,60],[0,4,29],[0,5,48],[0,6,18],[1,3,84],[1,5,91],[2,3,76],[2,4,38],[2,6,46],[2,7,87],[3,6,53],[3,7,60],[4,5,25],[4,7,19],[5,6,38],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=18,(4,7)=19,(4,5)=25,(0,4)=29,(6,7)=36,(2,4)=38,(5,6)=38,(2,6)=46,(0,5)=48,(3,6)=53,(0,3)=60,(3,7)=60,(0,1)=72,(2,3)=76,(1,3)=84,(2,7)=87,(1,5)=91]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=18\",\"Find(4)=4, Find(7)=7, Add (4,7)=19 Succeeded, w=37\",\"Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=62\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=91\",\"Find(6)=0, Find(7)=0, Add (6,7)=36 Failed, w=91\",\"Find(2)=2, Find(4)=0, Add (2,4)=38 Succeeded, w=129\",\"Find(5)=0, Find(6)=0, Add (5,6)=38 Failed, w=129\",\"Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=129\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=129\",\"Find(3)=3, Find(6)=0, Add (3,6)=53 Succeeded, w=182\",\"Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=182\",\"Find(3)=0, Find(7)=0, Add (3,7)=60 Failed, w=182\",\"Find(0)=0, Find(1)=1, Add (0,1)=72 Succeeded, w=254\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=254\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=254\",\"Find(2)=0, Find(7)=0, Add (2,7)=87 Failed, w=254\",\"Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=254\"],\"Answer\":254}",
"role": "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],[0,3,60],[0,4,29],[0,5,48],[0,6,18],[1,3,84],[1,5,91],[2,3,76],[2,4,38],[2,6,46],[2,7,87],[3,6,53],[3,7,60],[4,5,25],[4,7,19],[5,6,38],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=18,(4,7)=19,(4,5)=25,(0,4)=29,(6,7)=36,(2,4)=38,(5,6)=38,(2,6)=46,(0,5)=48,(3,6)=53,(0,3)=60,(3,7)=60,(0,1)=72,(2,3)=76,(1,3)=84,(2,7)=87,(1,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0, 7: 4}, Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=36 Failed, w=91\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=2, Find(4)=0, Add (2,4)=38 Succeeded, w=129\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=38 Failed, w=129\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=129\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=129\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(6)=0, Add (3,6)=53 Succeeded, w=182\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=182\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=60 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=72 Succeeded, w=254\",\"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)=76 Failed, w=254\",\"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)=84 Failed, w=254\",\"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)=87 Failed, w=254\",\"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)=91 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,68],[0,2,34],[0,3,26],[1,2,13],[1,3,94],[1,4,40],[2,3,20],[3,4,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,34],[0,3,26],[1,2,13],[1,3,94],[1,4,40],[2,3,20],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,34],[0,3,26],[1,2,13],[1,3,94],[1,4,40],[2,3,20],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,34],[0,3,26],[1,2,13],[1,3,94],[1,4,40],[2,3,20],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (2,3)=20, w=33\",\"Add (0,3)=26, w=59\",\"Add (1,4)=40, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,34],[0,3,26],[1,2,13],[1,3,94],[1,4,40],[2,3,20],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (2,3)=20 Succeeded, w=33\",\"Add (0,3)=26 Succeeded, w=59\",\"Add (0,2)=34 Failed, w=59\",\"Add (1,4)=40 Succeeded, w=99\",\"Add (3,4)=65 Failed, w=99\",\"Add (0,1)=68 Failed, w=99\",\"Add (1,3)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,34],[0,3,26],[1,2,13],[1,3,94],[1,4,40],[2,3,20],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(2,3)=20,(0,3)=26,(0,2)=34,(1,4)=40,(3,4)=65,(0,1)=68,(1,3)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=33\",\"Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=59\",\"Find(0)=1, Find(2)=1, Add (0,2)=34 Failed, w=59\",\"Find(1)=1, Find(4)=4, Add (1,4)=40 Succeeded, w=99\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=99\",\"Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=99\",\"Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,34],[0,3,26],[1,2,13],[1,3,94],[1,4,40],[2,3,20],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(2,3)=20,(0,3)=26,(0,2)=34,(1,4)=40,(3,4)=65,(0,1)=68,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(2)=1, Add (0,2)=34 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=40 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,73],[0,3,42],[0,4,26],[1,2,66],[2,3,69],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,42],[0,4,26],[1,2,66],[2,3,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,42],[0,4,26],[1,2,66],[2,3,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,42],[0,4,26],[1,2,66],[2,3,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=26, w=26\",\"Add (0,3)=42, w=68\",\"Add (1,2)=66, w=134\",\"Add (2,3)=69, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,42],[0,4,26],[1,2,66],[2,3,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=26 Succeeded, w=26\",\"Add (0,3)=42 Succeeded, w=68\",\"Add (1,2)=66 Succeeded, w=134\",\"Add (2,3)=69 Succeeded, w=203\",\"Add (0,2)=73 Failed, w=203\",\"Add (3,4)=83 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,42],[0,4,26],[1,2,66],[2,3,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=26,(0,3)=42,(1,2)=66,(2,3)=69,(0,2)=73,(3,4)=83]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=68\",\"Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=134\",\"Find(2)=1, Find(3)=0, Add (2,3)=69 Succeeded, w=203\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=203\",\"Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,42],[0,4,26],[1,2,66],[2,3,69],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=26,(0,3)=42,(1,2)=66,(2,3)=69,(0,2)=73,(3,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(2)=1, Find(3)=0, Add (2,3)=69 Succeeded, w=203\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=203\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[2,4,80],[3,4,5],[3,5,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[2,4,80],[3,4,5],[3,5,25]]}",
"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],\"edges\":[[2,4,80],[3,4,5],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (2,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[2,4,80],[3,4,5],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (3,5)=25, w=30\",\"Add (2,4)=80, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[2,4,80],[3,4,5],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (3,5)=25 Succeeded, w=30\",\"Add (2,4)=80 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[2,4,80],[3,4,5],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(3,5)=25,(2,4)=80]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(5)=5, Add (3,5)=25 Succeeded, w=30\",\"Find(2)=2, Find(4)=3, Add (2,4)=80 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[2,4,80],[3,4,5],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(3,5)=25,(2,4)=80]\",\"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: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=25 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(4)=3, Add (2,4)=80 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,94],[0,2,26],[0,3,0],[1,2,83],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,26],[0,3,0],[1,2,83],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,26],[0,3,0],[1,2,83],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,26],[0,3,0],[1,2,83],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (0,2)=26, w=26\",\"Add (1,2)=83, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,26],[0,3,0],[1,2,83],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (0,2)=26 Succeeded, w=26\",\"Add (2,3)=56 Failed, w=26\",\"Add (1,2)=83 Succeeded, w=109\",\"Add (0,1)=94 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,26],[0,3,0],[1,2,83],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=26,(2,3)=56,(1,2)=83,(0,1)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=26\",\"Find(1)=1, Find(2)=0, Add (1,2)=83 Succeeded, w=109\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,26],[0,3,0],[1,2,83],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=26,(2,3)=56,(1,2)=83,(0,1)=94]\",\"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: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=83 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,49],[0,3,0],[1,2,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,0],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,0],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,0],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,2)=2, w=2\",\"Add (0,2)=49, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,0],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,2)=2 Succeeded, w=2\",\"Add (0,2)=49 Succeeded, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,0],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,2)=2,(0,2)=49]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,0],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,2)=2,(0,2)=49]\",\"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: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,93],[0,2,19],[0,3,82],[0,4,11],[1,4,52],[1,5,36],[2,3,32],[2,4,49],[2,5,27],[3,4,22],[3,5,91],[4,5,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,19],[0,3,82],[0,4,11],[1,4,52],[1,5,36],[2,3,32],[2,4,49],[2,5,27],[3,4,22],[3,5,91],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,19],[0,3,82],[0,4,11],[1,4,52],[1,5,36],[2,3,32],[2,4,49],[2,5,27],[3,4,22],[3,5,91],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (1,5)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,19],[0,3,82],[0,4,11],[1,4,52],[1,5,36],[2,3,32],[2,4,49],[2,5,27],[3,4,22],[3,5,91],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (0,2)=19, w=30\",\"Add (3,4)=22, w=52\",\"Add (2,5)=27, w=79\",\"Add (1,5)=36, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,19],[0,3,82],[0,4,11],[1,4,52],[1,5,36],[2,3,32],[2,4,49],[2,5,27],[3,4,22],[3,5,91],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (0,2)=19 Succeeded, w=30\",\"Add (3,4)=22 Succeeded, w=52\",\"Add (2,5)=27 Succeeded, w=79\",\"Add (2,3)=32 Failed, w=79\",\"Add (4,5)=32 Failed, w=79\",\"Add (1,5)=36 Succeeded, w=115\",\"Add (2,4)=49 Failed, w=115\",\"Add (1,4)=52 Failed, w=115\",\"Add (0,3)=82 Failed, w=115\",\"Add (3,5)=91 Failed, w=115\",\"Add (0,1)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,19],[0,3,82],[0,4,11],[1,4,52],[1,5,36],[2,3,32],[2,4,49],[2,5,27],[3,4,22],[3,5,91],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(0,2)=19,(3,4)=22,(2,5)=27,(2,3)=32,(4,5)=32,(1,5)=36,(2,4)=49,(1,4)=52,(0,3)=82,(3,5)=91,(0,1)=93]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=30\",\"Find(3)=3, Find(4)=0, Add (3,4)=22 Succeeded, w=52\",\"Find(2)=0, Find(5)=5, Add (2,5)=27 Succeeded, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=79\",\"Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=79\",\"Find(1)=1, Find(5)=0, Add (1,5)=36 Succeeded, w=115\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=115\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=115\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=115\",\"Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,19],[0,3,82],[0,4,11],[1,4,52],[1,5,36],[2,3,32],[2,4,49],[2,5,27],[3,4,22],[3,5,91],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(0,2)=19,(3,4)=22,(2,5)=27,(2,3)=32,(4,5)=32,(1,5)=36,(2,4)=49,(1,4)=52,(0,3)=82,(3,5)=91,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(3)=3, Find(4)=0, Add (3,4)=22 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=27 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=36 Succeeded, w=115\",\"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=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,34],[0,2,37],[0,3,15],[0,4,14],[0,5,74],[0,6,77],[1,2,39],[1,3,62],[1,4,33],[1,5,79],[1,6,27],[2,3,35],[2,4,2],[2,5,21],[2,6,64],[3,4,20],[3,5,88],[4,5,83],[4,6,14],[5,6,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,37],[0,3,15],[0,4,14],[0,5,74],[0,6,77],[1,2,39],[1,3,62],[1,4,33],[1,5,79],[1,6,27],[2,3,35],[2,4,2],[2,5,21],[2,6,64],[3,4,20],[3,5,88],[4,5,83],[4,6,14],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,37],[0,3,15],[0,4,14],[0,5,74],[0,6,77],[1,2,39],[1,3,62],[1,4,33],[1,5,79],[1,6,27],[2,3,35],[2,4,2],[2,5,21],[2,6,64],[3,4,20],[3,5,88],[4,5,83],[4,6,14],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,6)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,37],[0,3,15],[0,4,14],[0,5,74],[0,6,77],[1,2,39],[1,3,62],[1,4,33],[1,5,79],[1,6,27],[2,3,35],[2,4,2],[2,5,21],[2,6,64],[3,4,20],[3,5,88],[4,5,83],[4,6,14],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,4)=14, w=16\",\"Add (4,6)=14, w=30\",\"Add (0,3)=15, w=45\",\"Add (2,5)=21, w=66\",\"Add (1,6)=27, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,37],[0,3,15],[0,4,14],[0,5,74],[0,6,77],[1,2,39],[1,3,62],[1,4,33],[1,5,79],[1,6,27],[2,3,35],[2,4,2],[2,5,21],[2,6,64],[3,4,20],[3,5,88],[4,5,83],[4,6,14],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,4)=14 Succeeded, w=16\",\"Add (4,6)=14 Succeeded, w=30\",\"Add (0,3)=15 Succeeded, w=45\",\"Add (3,4)=20 Failed, w=45\",\"Add (2,5)=21 Succeeded, w=66\",\"Add (5,6)=22 Failed, w=66\",\"Add (1,6)=27 Succeeded, w=93\",\"Add (1,4)=33 Failed, w=93\",\"Add (0,1)=34 Failed, w=93\",\"Add (2,3)=35 Failed, w=93\",\"Add (0,2)=37 Failed, w=93\",\"Add (1,2)=39 Failed, w=93\",\"Add (1,3)=62 Failed, w=93\",\"Add (2,6)=64 Failed, w=93\",\"Add (0,5)=74 Failed, w=93\",\"Add (0,6)=77 Failed, w=93\",\"Add (1,5)=79 Failed, w=93\",\"Add (4,5)=83 Failed, w=93\",\"Add (3,5)=88 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,37],[0,3,15],[0,4,14],[0,5,74],[0,6,77],[1,2,39],[1,3,62],[1,4,33],[1,5,79],[1,6,27],[2,3,35],[2,4,2],[2,5,21],[2,6,64],[3,4,20],[3,5,88],[4,5,83],[4,6,14],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=14,(4,6)=14,(0,3)=15,(3,4)=20,(2,5)=21,(5,6)=22,(1,6)=27,(1,4)=33,(0,1)=34,(2,3)=35,(0,2)=37,(1,2)=39,(1,3)=62,(2,6)=64,(0,5)=74,(0,6)=77,(1,5)=79,(4,5)=83,(3,5)=88]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=2, Add (0,4)=14 Succeeded, w=16\",\"Find(4)=2, Find(6)=6, Add (4,6)=14 Succeeded, w=30\",\"Find(0)=2, Find(3)=3, Add (0,3)=15 Succeeded, w=45\",\"Find(3)=2, Find(4)=2, Add (3,4)=20 Failed, w=45\",\"Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=66\",\"Find(5)=2, Find(6)=2, Add (5,6)=22 Failed, w=66\",\"Find(1)=1, Find(6)=2, Add (1,6)=27 Succeeded, w=93\",\"Find(1)=2, Find(4)=2, Add (1,4)=33 Failed, w=93\",\"Find(0)=2, Find(1)=2, Add (0,1)=34 Failed, w=93\",\"Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=93\",\"Find(0)=2, Find(2)=2, Add (0,2)=37 Failed, w=93\",\"Find(1)=2, Find(2)=2, Add (1,2)=39 Failed, w=93\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=93\",\"Find(2)=2, Find(6)=2, Add (2,6)=64 Failed, w=93\",\"Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=93\",\"Find(0)=2, Find(6)=2, Add (0,6)=77 Failed, w=93\",\"Find(1)=2, Find(5)=2, Add (1,5)=79 Failed, w=93\",\"Find(4)=2, Find(5)=2, Add (4,5)=83 Failed, w=93\",\"Find(3)=2, Find(5)=2, Add (3,5)=88 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,37],[0,3,15],[0,4,14],[0,5,74],[0,6,77],[1,2,39],[1,3,62],[1,4,33],[1,5,79],[1,6,27],[2,3,35],[2,4,2],[2,5,21],[2,6,64],[3,4,20],[3,5,88],[4,5,83],[4,6,14],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=14,(4,6)=14,(0,3)=15,(3,4)=20,(2,5)=21,(5,6)=22,(1,6)=27,(1,4)=33,(0,1)=34,(2,3)=35,(0,2)=37,(1,2)=39,(1,3)=62,(2,6)=64,(0,5)=74,(0,6)=77,(1,5)=79,(4,5)=83,(3,5)=88]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(4)=2, Add (0,4)=14 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=14 Succeeded, w=30\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(3)=3, Add (0,3)=15 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=20 Failed, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=21 Succeeded, w=66\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=22 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=27 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=33 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=34 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=37 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=39 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=64 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=77 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=79 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=83 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=88 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,63],[0,3,3],[0,4,92],[1,2,63],[1,3,28],[1,4,55],[2,3,96],[2,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,3],[0,4,92],[1,2,63],[1,3,28],[1,4,55],[2,3,96],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,3],[0,4,92],[1,2,63],[1,3,28],[1,4,55],[2,3,96],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,3],[0,4,92],[1,2,63],[1,3,28],[1,4,55],[2,3,96],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,3)=28, w=31\",\"Add (2,4)=52, w=83\",\"Add (1,4)=55, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,3],[0,4,92],[1,2,63],[1,3,28],[1,4,55],[2,3,96],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,3)=28 Succeeded, w=31\",\"Add (2,4)=52 Succeeded, w=83\",\"Add (1,4)=55 Succeeded, w=138\",\"Add (0,2)=63 Failed, w=138\",\"Add (1,2)=63 Failed, w=138\",\"Add (0,4)=92 Failed, w=138\",\"Add (2,3)=96 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,3],[0,4,92],[1,2,63],[1,3,28],[1,4,55],[2,3,96],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,3)=28,(2,4)=52,(1,4)=55,(0,2)=63,(1,2)=63,(0,4)=92,(2,3)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=0, Add (1,3)=28 Succeeded, w=31\",\"Find(2)=2, Find(4)=4, Add (2,4)=52 Succeeded, w=83\",\"Find(1)=0, Find(4)=2, Add (1,4)=55 Succeeded, w=138\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=138\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=138\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=138\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,3],[0,4,92],[1,2,63],[1,3,28],[1,4,55],[2,3,96],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,3)=28,(2,4)=52,(1,4)=55,(0,2)=63,(1,2)=63,(0,4)=92,(2,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=28 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=52 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=55 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,58],[0,4,27],[2,3,53],[3,5,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,4,27],[2,3,53],[3,5,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,4,27],[2,3,53],[3,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,4,27],[2,3,53],[3,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=27, w=27\",\"Add (2,3)=53, w=80\",\"Add (3,5)=57, w=137\",\"Add (0,2)=58, w=195\",\"Add (0,1)=61, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,4,27],[2,3,53],[3,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=27 Succeeded, w=27\",\"Add (2,3)=53 Succeeded, w=80\",\"Add (3,5)=57 Succeeded, w=137\",\"Add (0,2)=58 Succeeded, w=195\",\"Add (0,1)=61 Succeeded, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,4,27],[2,3,53],[3,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=27,(2,3)=53,(3,5)=57,(0,2)=58,(0,1)=61]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=27\",\"Find(2)=2, Find(3)=3, Add (2,3)=53 Succeeded, w=80\",\"Find(3)=2, Find(5)=5, Add (3,5)=57 Succeeded, w=137\",\"Find(0)=0, Find(2)=2, Add (0,2)=58 Succeeded, w=195\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,58],[0,4,27],[2,3,53],[3,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=27,(2,3)=53,(3,5)=57,(0,2)=58,(0,1)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=53 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=57 Succeeded, w=137\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=58 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[0,2,60],[0,3,62],[1,2,10],[1,3,74],[2,3,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,60],[0,3,62],[1,2,10],[1,3,74],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,60],[0,3,62],[1,2,10],[1,3,74],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,60],[0,3,62],[1,2,10],[1,3,74],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (2,3)=16, w=26\",\"Add (0,1)=42, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,60],[0,3,62],[1,2,10],[1,3,74],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (2,3)=16 Succeeded, w=26\",\"Add (0,1)=42 Succeeded, w=68\",\"Add (0,2)=60 Failed, w=68\",\"Add (0,3)=62 Failed, w=68\",\"Add (1,3)=74 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,60],[0,3,62],[1,2,10],[1,3,74],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,3)=16,(0,1)=42,(0,2)=60,(0,3)=62,(1,3)=74]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(2)=1, Find(3)=3, Add (2,3)=16 Succeeded, w=26\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=68\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=68\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=68\",\"Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,60],[0,3,62],[1,2,10],[1,3,74],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(2,3)=16,(0,1)=42,(0,2)=60,(0,3)=62,(1,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=16 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,3],[0,3,93],[0,4,49],[0,5,18],[1,4,51],[1,5,86],[2,3,45],[2,4,10],[3,5,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,3,93],[0,4,49],[0,5,18],[1,4,51],[1,5,86],[2,3,45],[2,4,10],[3,5,22]]}",
"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],\"edges\":[[0,1,3],[0,3,93],[0,4,49],[0,5,18],[1,4,51],[1,5,86],[2,3,45],[2,4,10],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,3,93],[0,4,49],[0,5,18],[1,4,51],[1,5,86],[2,3,45],[2,4,10],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (2,4)=10, w=13\",\"Add (0,5)=18, w=31\",\"Add (3,5)=22, w=53\",\"Add (2,3)=45, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,3,93],[0,4,49],[0,5,18],[1,4,51],[1,5,86],[2,3,45],[2,4,10],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (2,4)=10 Succeeded, w=13\",\"Add (0,5)=18 Succeeded, w=31\",\"Add (3,5)=22 Succeeded, w=53\",\"Add (2,3)=45 Succeeded, w=98\",\"Add (0,4)=49 Failed, w=98\",\"Add (1,4)=51 Failed, w=98\",\"Add (1,5)=86 Failed, w=98\",\"Add (0,3)=93 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],\"edges\":[[0,1,3],[0,3,93],[0,4,49],[0,5,18],[1,4,51],[1,5,86],[2,3,45],[2,4,10],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,4)=10,(0,5)=18,(3,5)=22,(2,3)=45,(0,4)=49,(1,4)=51,(1,5)=86,(0,3)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=13\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=31\",\"Find(3)=3, Find(5)=0, Add (3,5)=22 Succeeded, w=53\",\"Find(2)=2, Find(3)=0, Add (2,3)=45 Succeeded, w=98\",\"Find(0)=2, Find(4)=2, Add (0,4)=49 Failed, w=98\",\"Find(1)=2, Find(4)=2, Add (1,4)=51 Failed, w=98\",\"Find(1)=2, Find(5)=2, Add (1,5)=86 Failed, w=98\",\"Find(0)=2, Find(3)=2, Add (0,3)=93 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],\"edges\":[[0,1,3],[0,3,93],[0,4,49],[0,5,18],[1,4,51],[1,5,86],[2,3,45],[2,4,10],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,4)=10,(0,5)=18,(3,5)=22,(2,3)=45,(0,4)=49,(1,4)=51,(1,5)=86,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=22 Succeeded, w=53\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=45 Succeeded, w=98\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0}, Find(0)=2, Find(4)=2, Add (0,4)=49 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0}, Find(1)=2, Find(4)=2, Add (1,4)=51 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=86 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,2,49],[0,3,0],[0,4,81],[1,2,24],[1,3,85],[1,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,49],[0,3,0],[0,4,81],[1,2,24],[1,3,85],[1,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,49],[0,3,0],[0,4,81],[1,2,24],[1,3,85],[1,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,49],[0,3,0],[0,4,81],[1,2,24],[1,3,85],[1,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,4)=11, w=11\",\"Add (1,2)=24, w=35\",\"Add (0,2)=49, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,49],[0,3,0],[0,4,81],[1,2,24],[1,3,85],[1,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,4)=11 Succeeded, w=11\",\"Add (1,2)=24 Succeeded, w=35\",\"Add (0,2)=49 Succeeded, w=84\",\"Add (0,1)=79 Failed, w=84\",\"Add (0,4)=81 Failed, w=84\",\"Add (1,3)=85 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,49],[0,3,0],[0,4,81],[1,2,24],[1,3,85],[1,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,4)=11,(1,2)=24,(0,2)=49,(0,1)=79,(0,4)=81,(1,3)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=35\",\"Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=84\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=84\",\"Find(0)=0, Find(4)=0, Add (0,4)=81 Failed, w=84\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,49],[0,3,0],[0,4,81],[1,2,24],[1,3,85],[1,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,4)=11,(1,2)=24,(0,2)=49,(0,1)=79,(0,4)=81,(1,3)=85]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=49 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=81 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,21],[0,2,55],[0,3,13],[1,3,89],[2,3,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,55],[0,3,13],[1,3,89],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,55],[0,3,13],[1,3,89],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,55],[0,3,13],[1,3,89],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (0,1)=21, w=34\",\"Add (0,2)=55, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,55],[0,3,13],[1,3,89],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (0,1)=21 Succeeded, w=34\",\"Add (0,2)=55 Succeeded, w=89\",\"Add (2,3)=59 Failed, w=89\",\"Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,55],[0,3,13],[1,3,89],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,1)=21,(0,2)=55,(2,3)=59,(1,3)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=89\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,55],[0,3,13],[1,3,89],[2,3,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,1)=21,(0,2)=55,(2,3)=59,(1,3)=89]\",\"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: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,79],[0,3,26],[1,2,93],[1,3,43],[2,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,26],[1,2,93],[1,3,43],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,26],[1,2,93],[1,3,43],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,26],[1,2,93],[1,3,43],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=26, w=26\",\"Add (1,3)=43, w=69\",\"Add (2,3)=58, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,26],[1,2,93],[1,3,43],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=26 Succeeded, w=26\",\"Add (1,3)=43 Succeeded, w=69\",\"Add (2,3)=58 Succeeded, w=127\",\"Add (0,2)=79 Failed, w=127\",\"Add (1,2)=93 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,26],[1,2,93],[1,3,43],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=26,(1,3)=43,(2,3)=58,(0,2)=79,(1,2)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=26\",\"Find(1)=1, Find(3)=0, Add (1,3)=43 Succeeded, w=69\",\"Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=127\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=127\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,26],[1,2,93],[1,3,43],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=26,(1,3)=43,(2,3)=58,(0,2)=79,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=43 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,24],[1,2,58],[1,3,67],[2,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,24],[1,2,58],[1,3,67],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,24],[1,2,58],[1,3,67],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,24],[1,2,58],[1,3,67],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=24, w=24\",\"Add (1,2)=58, w=82\",\"Add (1,3)=67, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,24],[1,2,58],[1,3,67],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=24 Succeeded, w=24\",\"Add (1,2)=58 Succeeded, w=82\",\"Add (1,3)=67 Succeeded, w=149\",\"Add (2,3)=85 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,24],[1,2,58],[1,3,67],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=24,(1,2)=58,(1,3)=67,(2,3)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=24\",\"Find(1)=1, Find(2)=0, Add (1,2)=58 Succeeded, w=82\",\"Find(1)=0, Find(3)=3, Add (1,3)=67 Succeeded, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,24],[1,2,58],[1,3,67],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=24,(1,2)=58,(1,3)=67,(2,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=58 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=67 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,45],[0,2,43],[0,3,99],[0,4,43],[0,5,76],[0,6,81],[0,7,16],[1,2,38],[1,3,72],[1,4,47],[1,5,26],[1,6,47],[1,7,41],[2,3,16],[2,4,43],[2,5,57],[2,6,60],[2,7,39],[3,4,90],[3,5,10],[3,6,79],[3,7,68],[4,5,65],[4,6,24],[5,6,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,45],[0,2,43],[0,3,99],[0,4,43],[0,5,76],[0,6,81],[0,7,16],[1,2,38],[1,3,72],[1,4,47],[1,5,26],[1,6,47],[1,7,41],[2,3,16],[2,4,43],[2,5,57],[2,6,60],[2,7,39],[3,4,90],[3,5,10],[3,6,79],[3,7,68],[4,5,65],[4,6,24],[5,6,74]]}",
"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\":[[0,1,45],[0,2,43],[0,3,99],[0,4,43],[0,5,76],[0,6,81],[0,7,16],[1,2,38],[1,3,72],[1,4,47],[1,5,26],[1,6,47],[1,7,41],[2,3,16],[2,4,43],[2,5,57],[2,6,60],[2,7,39],[3,4,90],[3,5,10],[3,6,79],[3,7,68],[4,5,65],[4,6,24],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,7)\",\"Add (2,3)\",\"Add (4,6)\",\"Add (1,5)\",\"Add (2,7)\",\"Add (0,4)\"],\"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\":[[0,1,45],[0,2,43],[0,3,99],[0,4,43],[0,5,76],[0,6,81],[0,7,16],[1,2,38],[1,3,72],[1,4,47],[1,5,26],[1,6,47],[1,7,41],[2,3,16],[2,4,43],[2,5,57],[2,6,60],[2,7,39],[3,4,90],[3,5,10],[3,6,79],[3,7,68],[4,5,65],[4,6,24],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10, w=10\",\"Add (0,7)=16, w=26\",\"Add (2,3)=16, w=42\",\"Add (4,6)=24, w=66\",\"Add (1,5)=26, w=92\",\"Add (2,7)=39, w=131\",\"Add (0,4)=43, 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\":[[0,1,45],[0,2,43],[0,3,99],[0,4,43],[0,5,76],[0,6,81],[0,7,16],[1,2,38],[1,3,72],[1,4,47],[1,5,26],[1,6,47],[1,7,41],[2,3,16],[2,4,43],[2,5,57],[2,6,60],[2,7,39],[3,4,90],[3,5,10],[3,6,79],[3,7,68],[4,5,65],[4,6,24],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10 Succeeded, w=10\",\"Add (0,7)=16 Succeeded, w=26\",\"Add (2,3)=16 Succeeded, w=42\",\"Add (4,6)=24 Succeeded, w=66\",\"Add (1,5)=26 Succeeded, w=92\",\"Add (1,2)=38 Failed, w=92\",\"Add (2,7)=39 Succeeded, w=131\",\"Add (1,7)=41 Failed, w=131\",\"Add (0,2)=43 Failed, w=131\",\"Add (0,4)=43 Succeeded, w=174\",\"Add (2,4)=43 Failed, w=174\",\"Add (0,1)=45 Failed, w=174\",\"Add (1,4)=47 Failed, w=174\",\"Add (1,6)=47 Failed, w=174\",\"Add (2,5)=57 Failed, w=174\",\"Add (2,6)=60 Failed, w=174\",\"Add (4,5)=65 Failed, w=174\",\"Add (3,7)=68 Failed, w=174\",\"Add (1,3)=72 Failed, w=174\",\"Add (5,6)=74 Failed, w=174\",\"Add (0,5)=76 Failed, w=174\",\"Add (3,6)=79 Failed, w=174\",\"Add (0,6)=81 Failed, w=174\",\"Add (3,4)=90 Failed, w=174\",\"Add (0,3)=99 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\":[[0,1,45],[0,2,43],[0,3,99],[0,4,43],[0,5,76],[0,6,81],[0,7,16],[1,2,38],[1,3,72],[1,4,47],[1,5,26],[1,6,47],[1,7,41],[2,3,16],[2,4,43],[2,5,57],[2,6,60],[2,7,39],[3,4,90],[3,5,10],[3,6,79],[3,7,68],[4,5,65],[4,6,24],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(0,7)=16,(2,3)=16,(4,6)=24,(1,5)=26,(1,2)=38,(2,7)=39,(1,7)=41,(0,2)=43,(0,4)=43,(2,4)=43,(0,1)=45,(1,4)=47,(1,6)=47,(2,5)=57,(2,6)=60,(4,5)=65,(3,7)=68,(1,3)=72,(5,6)=74,(0,5)=76,(3,6)=79,(0,6)=81,(3,4)=90,(0,3)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=42\",\"Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=66\",\"Find(1)=1, Find(5)=3, Add (1,5)=26 Succeeded, w=92\",\"Find(1)=3, Find(2)=3, Add (1,2)=38 Failed, w=92\",\"Find(2)=3, Find(7)=0, Add (2,7)=39 Succeeded, w=131\",\"Find(1)=3, Find(7)=3, Add (1,7)=41 Failed, w=131\",\"Find(0)=3, Find(2)=3, Add (0,2)=43 Failed, w=131\",\"Find(0)=3, Find(4)=4, Add (0,4)=43 Succeeded, w=174\",\"Find(2)=3, Find(4)=3, Add (2,4)=43 Failed, w=174\",\"Find(0)=3, Find(1)=3, Add (0,1)=45 Failed, w=174\",\"Find(1)=3, Find(4)=3, Add (1,4)=47 Failed, w=174\",\"Find(1)=3, Find(6)=3, Add (1,6)=47 Failed, w=174\",\"Find(2)=3, Find(5)=3, Add (2,5)=57 Failed, w=174\",\"Find(2)=3, Find(6)=3, Add (2,6)=60 Failed, w=174\",\"Find(4)=3, Find(5)=3, Add (4,5)=65 Failed, w=174\",\"Find(3)=3, Find(7)=3, Add (3,7)=68 Failed, w=174\",\"Find(1)=3, Find(3)=3, Add (1,3)=72 Failed, w=174\",\"Find(5)=3, Find(6)=3, Add (5,6)=74 Failed, w=174\",\"Find(0)=3, Find(5)=3, Add (0,5)=76 Failed, w=174\",\"Find(3)=3, Find(6)=3, Add (3,6)=79 Failed, w=174\",\"Find(0)=3, Find(6)=3, Add (0,6)=81 Failed, w=174\",\"Find(3)=3, Find(4)=3, Add (3,4)=90 Failed, w=174\",\"Find(0)=3, Find(3)=3, Add (0,3)=99 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\":[[0,1,45],[0,2,43],[0,3,99],[0,4,43],[0,5,76],[0,6,81],[0,7,16],[1,2,38],[1,3,72],[1,4,47],[1,5,26],[1,6,47],[1,7,41],[2,3,16],[2,4,43],[2,5,57],[2,6,60],[2,7,39],[3,4,90],[3,5,10],[3,6,79],[3,7,68],[4,5,65],[4,6,24],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(0,7)=16,(2,3)=16,(4,6)=24,(1,5)=26,(1,2)=38,(2,7)=39,(1,7)=41,(0,2)=43,(0,4)=43,(2,4)=43,(0,1)=45,(1,4)=47,(1,6)=47,(2,5)=57,(2,6)=60,(4,5)=65,(3,7)=68,(1,3)=72,(5,6)=74,(0,5)=76,(3,6)=79,(0,6)=81,(3,4)=90,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4, 7: 0}, Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=66\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4, 7: 0}, Find(1)=1, Find(5)=3, Add (1,5)=26 Succeeded, w=92\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4, 7: 0}, Find(1)=3, Find(2)=3, Add (1,2)=38 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4, 7: 0}, Find(2)=3, Find(7)=0, Add (2,7)=39 Succeeded, w=131\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=41 Failed, w=131\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=43 Failed, w=131\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(0)=3, Find(4)=4, Add (0,4)=43 Succeeded, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=43 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=45 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 4, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=47 Failed, w=174\",\"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)=47 Failed, w=174\",\"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=174\",\"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)=60 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=65 Failed, w=174\",\"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)=68 Failed, w=174\",\"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)=72 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=74 Failed, w=174\",\"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)=76 Failed, w=174\",\"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)=79 Failed, w=174\",\"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)=81 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=90 Failed, w=174\",\"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)=99 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,2,46],[1,3,50],[1,4,18],[2,3,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,46],[1,3,50],[1,4,18],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,46],[1,3,50],[1,4,18],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,46],[1,3,50],[1,4,18],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (2,3)=17, w=33\",\"Add (1,4)=18, w=51\",\"Add (0,2)=46, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,46],[1,3,50],[1,4,18],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (2,3)=17 Succeeded, w=33\",\"Add (1,4)=18 Succeeded, w=51\",\"Add (0,2)=46 Succeeded, w=97\",\"Add (1,3)=50 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,46],[1,3,50],[1,4,18],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(2,3)=17,(1,4)=18,(0,2)=46,(1,3)=50]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=33\",\"Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=51\",\"Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,46],[1,3,50],[1,4,18],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(2,3)=17,(1,4)=18,(0,2)=46,(1,3)=50]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,30],[0,2,90],[0,4,42],[0,5,62],[0,6,25],[0,7,12],[1,2,30],[1,3,55],[1,6,11],[2,3,50],[2,4,15],[2,5,12],[2,7,6],[3,4,69],[3,5,55],[3,6,29],[3,7,50],[4,5,86],[4,7,65],[5,6,18],[5,7,47],[6,7,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,90],[0,4,42],[0,5,62],[0,6,25],[0,7,12],[1,2,30],[1,3,55],[1,6,11],[2,3,50],[2,4,15],[2,5,12],[2,7,6],[3,4,69],[3,5,55],[3,6,29],[3,7,50],[4,5,86],[4,7,65],[5,6,18],[5,7,47],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,90],[0,4,42],[0,5,62],[0,6,25],[0,7,12],[1,2,30],[1,3,55],[1,6,11],[2,3,50],[2,4,15],[2,5,12],[2,7,6],[3,4,69],[3,5,55],[3,6,29],[3,7,50],[4,5,86],[4,7,65],[5,6,18],[5,7,47],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (1,6)\",\"Add (0,7)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (5,6)\",\"Add (3,6)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,90],[0,4,42],[0,5,62],[0,6,25],[0,7,12],[1,2,30],[1,3,55],[1,6,11],[2,3,50],[2,4,15],[2,5,12],[2,7,6],[3,4,69],[3,5,55],[3,6,29],[3,7,50],[4,5,86],[4,7,65],[5,6,18],[5,7,47],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=6, w=6\",\"Add (1,6)=11, w=17\",\"Add (0,7)=12, w=29\",\"Add (2,5)=12, w=41\",\"Add (2,4)=15, w=56\",\"Add (5,6)=18, w=74\",\"Add (3,6)=29, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,90],[0,4,42],[0,5,62],[0,6,25],[0,7,12],[1,2,30],[1,3,55],[1,6,11],[2,3,50],[2,4,15],[2,5,12],[2,7,6],[3,4,69],[3,5,55],[3,6,29],[3,7,50],[4,5,86],[4,7,65],[5,6,18],[5,7,47],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=6 Succeeded, w=6\",\"Add (1,6)=11 Succeeded, w=17\",\"Add (0,7)=12 Succeeded, w=29\",\"Add (2,5)=12 Succeeded, w=41\",\"Add (2,4)=15 Succeeded, w=56\",\"Add (5,6)=18 Succeeded, w=74\",\"Add (0,6)=25 Failed, w=74\",\"Add (3,6)=29 Succeeded, w=103\",\"Add (0,1)=30 Failed, w=103\",\"Add (1,2)=30 Failed, w=103\",\"Add (6,7)=39 Failed, w=103\",\"Add (0,4)=42 Failed, w=103\",\"Add (5,7)=47 Failed, w=103\",\"Add (2,3)=50 Failed, w=103\",\"Add (3,7)=50 Failed, w=103\",\"Add (1,3)=55 Failed, w=103\",\"Add (3,5)=55 Failed, w=103\",\"Add (0,5)=62 Failed, w=103\",\"Add (4,7)=65 Failed, w=103\",\"Add (3,4)=69 Failed, w=103\",\"Add (4,5)=86 Failed, w=103\",\"Add (0,2)=90 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,90],[0,4,42],[0,5,62],[0,6,25],[0,7,12],[1,2,30],[1,3,55],[1,6,11],[2,3,50],[2,4,15],[2,5,12],[2,7,6],[3,4,69],[3,5,55],[3,6,29],[3,7,50],[4,5,86],[4,7,65],[5,6,18],[5,7,47],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=6,(1,6)=11,(0,7)=12,(2,5)=12,(2,4)=15,(5,6)=18,(0,6)=25,(3,6)=29,(0,1)=30,(1,2)=30,(6,7)=39,(0,4)=42,(5,7)=47,(2,3)=50,(3,7)=50,(1,3)=55,(3,5)=55,(0,5)=62,(4,7)=65,(3,4)=69,(4,5)=86,(0,2)=90]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=6\",\"Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=17\",\"Find(0)=0, Find(7)=2, Add (0,7)=12 Succeeded, w=29\",\"Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=41\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=56\",\"Find(5)=2, Find(6)=1, Add (5,6)=18 Succeeded, w=74\",\"Find(0)=2, Find(6)=2, Add (0,6)=25 Failed, w=74\",\"Find(3)=3, Find(6)=2, Add (3,6)=29 Succeeded, w=103\",\"Find(0)=2, Find(1)=2, Add (0,1)=30 Failed, w=103\",\"Find(1)=2, Find(2)=2, Add (1,2)=30 Failed, w=103\",\"Find(6)=2, Find(7)=2, Add (6,7)=39 Failed, w=103\",\"Find(0)=2, Find(4)=2, Add (0,4)=42 Failed, w=103\",\"Find(5)=2, Find(7)=2, Add (5,7)=47 Failed, w=103\",\"Find(2)=2, Find(3)=2, Add (2,3)=50 Failed, w=103\",\"Find(3)=2, Find(7)=2, Add (3,7)=50 Failed, w=103\",\"Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=103\",\"Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=103\",\"Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=103\",\"Find(4)=2, Find(7)=2, Add (4,7)=65 Failed, w=103\",\"Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=103\",\"Find(4)=2, Find(5)=2, Add (4,5)=86 Failed, w=103\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,90],[0,4,42],[0,5,62],[0,6,25],[0,7,12],[1,2,30],[1,3,55],[1,6,11],[2,3,50],[2,4,15],[2,5,12],[2,7,6],[3,4,69],[3,5,55],[3,6,29],[3,7,50],[4,5,86],[4,7,65],[5,6,18],[5,7,47],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=6,(1,6)=11,(0,7)=12,(2,5)=12,(2,4)=15,(5,6)=18,(0,6)=25,(3,6)=29,(0,1)=30,(1,2)=30,(6,7)=39,(0,4)=42,(5,7)=47,(2,3)=50,(3,7)=50,(1,3)=55,(3,5)=55,(0,5)=62,(4,7)=65,(3,4)=69,(4,5)=86,(0,2)=90]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 2}, Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=12 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 2}, Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=41\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 1, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 1, 7: 2}, Find(5)=2, Find(6)=1, Add (5,6)=18 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=25 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=3, Find(6)=2, Add (3,6)=29 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=30 Failed, w=103\",\"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)=30 Failed, w=103\",\"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)=39 Failed, w=103\",\"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)=42 Failed, w=103\",\"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)=47 Failed, w=103\",\"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)=50 Failed, w=103\",\"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)=50 Failed, w=103\",\"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)=55 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=62 Failed, w=103\",\"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)=65 Failed, w=103\",\"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)=69 Failed, w=103\",\"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)=86 Failed, w=103\",\"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)=90 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,50],[0,2,35],[0,4,53],[0,5,77],[0,6,94],[1,4,11],[1,6,92],[2,3,75],[2,5,36],[2,6,70],[2,7,4],[3,4,44],[3,6,10],[4,6,15],[4,7,3],[5,6,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,35],[0,4,53],[0,5,77],[0,6,94],[1,4,11],[1,6,92],[2,3,75],[2,5,36],[2,6,70],[2,7,4],[3,4,44],[3,6,10],[4,6,15],[4,7,3],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,35],[0,4,53],[0,5,77],[0,6,94],[1,4,11],[1,6,92],[2,3,75],[2,5,36],[2,6,70],[2,7,4],[3,4,44],[3,6,10],[4,6,15],[4,7,3],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (2,7)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (4,6)\",\"Add (0,2)\",\"Add (2,5)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,35],[0,4,53],[0,5,77],[0,6,94],[1,4,11],[1,6,92],[2,3,75],[2,5,36],[2,6,70],[2,7,4],[3,4,44],[3,6,10],[4,6,15],[4,7,3],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3, w=3\",\"Add (2,7)=4, w=7\",\"Add (3,6)=10, w=17\",\"Add (1,4)=11, w=28\",\"Add (4,6)=15, w=43\",\"Add (0,2)=35, w=78\",\"Add (2,5)=36, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,35],[0,4,53],[0,5,77],[0,6,94],[1,4,11],[1,6,92],[2,3,75],[2,5,36],[2,6,70],[2,7,4],[3,4,44],[3,6,10],[4,6,15],[4,7,3],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=3 Succeeded, w=3\",\"Add (2,7)=4 Succeeded, w=7\",\"Add (3,6)=10 Succeeded, w=17\",\"Add (1,4)=11 Succeeded, w=28\",\"Add (4,6)=15 Succeeded, w=43\",\"Add (0,2)=35 Succeeded, w=78\",\"Add (2,5)=36 Succeeded, w=114\",\"Add (3,4)=44 Failed, w=114\",\"Add (0,1)=50 Failed, w=114\",\"Add (0,4)=53 Failed, w=114\",\"Add (5,6)=67 Failed, w=114\",\"Add (2,6)=70 Failed, w=114\",\"Add (2,3)=75 Failed, w=114\",\"Add (0,5)=77 Failed, w=114\",\"Add (1,6)=92 Failed, w=114\",\"Add (0,6)=94 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,35],[0,4,53],[0,5,77],[0,6,94],[1,4,11],[1,6,92],[2,3,75],[2,5,36],[2,6,70],[2,7,4],[3,4,44],[3,6,10],[4,6,15],[4,7,3],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(2,7)=4,(3,6)=10,(1,4)=11,(4,6)=15,(0,2)=35,(2,5)=36,(3,4)=44,(0,1)=50,(0,4)=53,(5,6)=67,(2,6)=70,(2,3)=75,(0,5)=77,(1,6)=92,(0,6)=94]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Find(2)=2, Find(7)=4, Add (2,7)=4 Succeeded, w=7\",\"Find(3)=3, Find(6)=6, Add (3,6)=10 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=28\",\"Find(4)=4, Find(6)=3, Add (4,6)=15 Succeeded, w=43\",\"Find(0)=0, Find(2)=4, Add (0,2)=35 Succeeded, w=78\",\"Find(2)=4, Find(5)=5, Add (2,5)=36 Succeeded, w=114\",\"Find(3)=4, Find(4)=4, Add (3,4)=44 Failed, w=114\",\"Find(0)=4, Find(1)=4, Add (0,1)=50 Failed, w=114\",\"Find(0)=4, Find(4)=4, Add (0,4)=53 Failed, w=114\",\"Find(5)=4, Find(6)=4, Add (5,6)=67 Failed, w=114\",\"Find(2)=4, Find(6)=4, Add (2,6)=70 Failed, w=114\",\"Find(2)=4, Find(3)=4, Add (2,3)=75 Failed, w=114\",\"Find(0)=4, Find(5)=4, Add (0,5)=77 Failed, w=114\",\"Find(1)=4, Find(6)=4, Add (1,6)=92 Failed, w=114\",\"Find(0)=4, Find(6)=4, Add (0,6)=94 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,2,35],[0,4,53],[0,5,77],[0,6,94],[1,4,11],[1,6,92],[2,3,75],[2,5,36],[2,6,70],[2,7,4],[3,4,44],[3,6,10],[4,6,15],[4,7,3],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=3,(2,7)=4,(3,6)=10,(1,4)=11,(4,6)=15,(0,2)=35,(2,5)=36,(3,4)=44,(0,1)=50,(0,4)=53,(5,6)=67,(2,6)=70,(2,3)=75,(0,5)=77,(1,6)=92,(0,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(3)=3, Find(6)=6, Add (3,6)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=28\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 5, 6: 3, 7: 4}, Find(4)=4, Find(6)=3, Add (4,6)=15 Succeeded, w=43\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 5, 6: 3, 7: 4}, Find(0)=0, Find(2)=4, Add (0,2)=35 Succeeded, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 4}, Find(2)=4, Find(5)=5, Add (2,5)=36 Succeeded, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=44 Failed, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=50 Failed, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=53 Failed, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=67 Failed, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=70 Failed, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=75 Failed, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=77 Failed, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=92 Failed, w=114\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=94 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,50],[1,2,71],[2,3,60],[2,4,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[1,2,71],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[1,2,71],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[1,2,71],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=50, w=50\",\"Add (2,3)=60, w=110\",\"Add (1,2)=71, w=181\",\"Add (2,4)=78, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[1,2,71],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=50 Succeeded, w=50\",\"Add (2,3)=60 Succeeded, w=110\",\"Add (1,2)=71 Succeeded, w=181\",\"Add (2,4)=78 Succeeded, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[1,2,71],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=50,(2,3)=60,(1,2)=71,(2,4)=78]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=50\",\"Find(2)=2, Find(3)=3, Add (2,3)=60 Succeeded, w=110\",\"Find(1)=0, Find(2)=2, Add (1,2)=71 Succeeded, w=181\",\"Find(2)=0, Find(4)=4, Add (2,4)=78 Succeeded, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[1,2,71],[2,3,60],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=50,(2,3)=60,(1,2)=71,(2,4)=78]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=60 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=71 Succeeded, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=78 Succeeded, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,25],[0,3,49],[0,4,96],[0,5,50],[0,7,29],[1,2,53],[1,3,60],[1,5,33],[1,6,82],[1,7,4],[2,3,74],[2,4,97],[2,5,79],[2,6,68],[3,4,94],[3,5,88],[3,6,87],[4,5,77],[4,6,81],[5,6,12],[5,7,37],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,25],[0,3,49],[0,4,96],[0,5,50],[0,7,29],[1,2,53],[1,3,60],[1,5,33],[1,6,82],[1,7,4],[2,3,74],[2,4,97],[2,5,79],[2,6,68],[3,4,94],[3,5,88],[3,6,87],[4,5,77],[4,6,81],[5,6,12],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,25],[0,3,49],[0,4,96],[0,5,50],[0,7,29],[1,2,53],[1,3,60],[1,5,33],[1,6,82],[1,7,4],[2,3,74],[2,4,97],[2,5,79],[2,6,68],[3,4,94],[3,5,88],[3,6,87],[4,5,77],[4,6,81],[5,6,12],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,25],[0,3,49],[0,4,96],[0,5,50],[0,7,29],[1,2,53],[1,3,60],[1,5,33],[1,6,82],[1,7,4],[2,3,74],[2,4,97],[2,5,79],[2,6,68],[3,4,94],[3,5,88],[3,6,87],[4,5,77],[4,6,81],[5,6,12],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=4, w=4\",\"Add (5,6)=12, w=16\",\"Add (0,1)=17, w=33\",\"Add (0,2)=25, w=58\",\"Add (1,5)=33, w=91\",\"Add (0,3)=49, w=140\",\"Add (4,5)=77, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,25],[0,3,49],[0,4,96],[0,5,50],[0,7,29],[1,2,53],[1,3,60],[1,5,33],[1,6,82],[1,7,4],[2,3,74],[2,4,97],[2,5,79],[2,6,68],[3,4,94],[3,5,88],[3,6,87],[4,5,77],[4,6,81],[5,6,12],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=4 Succeeded, w=4\",\"Add (5,6)=12 Succeeded, w=16\",\"Add (0,1)=17 Succeeded, w=33\",\"Add (0,2)=25 Succeeded, w=58\",\"Add (0,7)=29 Failed, w=58\",\"Add (1,5)=33 Succeeded, w=91\",\"Add (5,7)=37 Failed, w=91\",\"Add (0,3)=49 Succeeded, w=140\",\"Add (0,5)=50 Failed, w=140\",\"Add (1,2)=53 Failed, w=140\",\"Add (1,3)=60 Failed, w=140\",\"Add (2,6)=68 Failed, w=140\",\"Add (2,3)=74 Failed, w=140\",\"Add (4,5)=77 Succeeded, w=217\",\"Add (2,5)=79 Failed, w=217\",\"Add (4,6)=81 Failed, w=217\",\"Add (1,6)=82 Failed, w=217\",\"Add (3,6)=87 Failed, w=217\",\"Add (6,7)=87 Failed, w=217\",\"Add (3,5)=88 Failed, w=217\",\"Add (3,4)=94 Failed, w=217\",\"Add (0,4)=96 Failed, w=217\",\"Add (2,4)=97 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,25],[0,3,49],[0,4,96],[0,5,50],[0,7,29],[1,2,53],[1,3,60],[1,5,33],[1,6,82],[1,7,4],[2,3,74],[2,4,97],[2,5,79],[2,6,68],[3,4,94],[3,5,88],[3,6,87],[4,5,77],[4,6,81],[5,6,12],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=4,(5,6)=12,(0,1)=17,(0,2)=25,(0,7)=29,(1,5)=33,(5,7)=37,(0,3)=49,(0,5)=50,(1,2)=53,(1,3)=60,(2,6)=68,(2,3)=74,(4,5)=77,(2,5)=79,(4,6)=81,(1,6)=82,(3,6)=87,(6,7)=87,(3,5)=88,(3,4)=94,(0,4)=96,(2,4)=97]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Find(5)=5, Find(6)=6, Add (5,6)=12 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=33\",\"Find(0)=1, Find(2)=2, Add (0,2)=25 Succeeded, w=58\",\"Find(0)=1, Find(7)=1, Add (0,7)=29 Failed, w=58\",\"Find(1)=1, Find(5)=5, Add (1,5)=33 Succeeded, w=91\",\"Find(5)=1, Find(7)=1, Add (5,7)=37 Failed, w=91\",\"Find(0)=1, Find(3)=3, Add (0,3)=49 Succeeded, w=140\",\"Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=140\",\"Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=140\",\"Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=140\",\"Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=140\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=140\",\"Find(4)=4, Find(5)=1, Add (4,5)=77 Succeeded, w=217\",\"Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=217\",\"Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=217\",\"Find(1)=1, Find(6)=1, Add (1,6)=82 Failed, w=217\",\"Find(3)=1, Find(6)=1, Add (3,6)=87 Failed, w=217\",\"Find(6)=1, Find(7)=1, Add (6,7)=87 Failed, w=217\",\"Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=217\",\"Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=217\",\"Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=217\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,25],[0,3,49],[0,4,96],[0,5,50],[0,7,29],[1,2,53],[1,3,60],[1,5,33],[1,6,82],[1,7,4],[2,3,74],[2,4,97],[2,5,79],[2,6,68],[3,4,94],[3,5,88],[3,6,87],[4,5,77],[4,6,81],[5,6,12],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=4,(5,6)=12,(0,1)=17,(0,2)=25,(0,7)=29,(1,5)=33,(5,7)=37,(0,3)=49,(0,5)=50,(1,2)=53,(1,3)=60,(2,6)=68,(2,3)=74,(4,5)=77,(2,5)=79,(4,6)=81,(1,6)=82,(3,6)=87,(6,7)=87,(3,5)=88,(3,4)=94,(0,4)=96,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 1}, Find(5)=5, Find(6)=6, Add (5,6)=12 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=25 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=29 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=33 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 5, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=37 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(3)=3, Add (0,3)=49 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=4, Find(5)=1, Add (4,5)=77 Succeeded, w=217\",\"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)=79 Failed, w=217\",\"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)=81 Failed, w=217\",\"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)=82 Failed, w=217\",\"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)=87 Failed, w=217\",\"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)=87 Failed, w=217\",\"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)=88 Failed, w=217\",\"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)=94 Failed, w=217\",\"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)=96 Failed, w=217\",\"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=217\"],\"Answer\":217}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,2,13],[0,3,57],[0,4,25],[0,5,82],[0,6,23],[1,2,11],[1,3,80],[1,4,97],[1,6,17],[2,3,40],[2,4,14],[2,5,44],[2,6,54],[3,5,100],[3,6,27],[4,5,68],[4,6,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,13],[0,3,57],[0,4,25],[0,5,82],[0,6,23],[1,2,11],[1,3,80],[1,4,97],[1,6,17],[2,3,40],[2,4,14],[2,5,44],[2,6,54],[3,5,100],[3,6,27],[4,5,68],[4,6,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,13],[0,3,57],[0,4,25],[0,5,82],[0,6,23],[1,2,11],[1,3,80],[1,4,97],[1,6,17],[2,3,40],[2,4,14],[2,5,44],[2,6,54],[3,5,100],[3,6,27],[4,5,68],[4,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (2,5)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,13],[0,3,57],[0,4,25],[0,5,82],[0,6,23],[1,2,11],[1,3,80],[1,4,97],[1,6,17],[2,3,40],[2,4,14],[2,5,44],[2,6,54],[3,5,100],[3,6,27],[4,5,68],[4,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (0,2)=13, w=24\",\"Add (2,4)=14, w=38\",\"Add (1,6)=17, w=55\",\"Add (3,6)=27, w=82\",\"Add (2,5)=44, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,13],[0,3,57],[0,4,25],[0,5,82],[0,6,23],[1,2,11],[1,3,80],[1,4,97],[1,6,17],[2,3,40],[2,4,14],[2,5,44],[2,6,54],[3,5,100],[3,6,27],[4,5,68],[4,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (0,2)=13 Succeeded, w=24\",\"Add (0,1)=14 Failed, w=24\",\"Add (2,4)=14 Succeeded, w=38\",\"Add (1,6)=17 Succeeded, w=55\",\"Add (0,6)=23 Failed, w=55\",\"Add (0,4)=25 Failed, w=55\",\"Add (3,6)=27 Succeeded, w=82\",\"Add (2,3)=40 Failed, w=82\",\"Add (2,5)=44 Succeeded, w=126\",\"Add (4,6)=50 Failed, w=126\",\"Add (2,6)=54 Failed, w=126\",\"Add (0,3)=57 Failed, w=126\",\"Add (4,5)=68 Failed, w=126\",\"Add (1,3)=80 Failed, w=126\",\"Add (0,5)=82 Failed, w=126\",\"Add (1,4)=97 Failed, w=126\",\"Add (3,5)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,13],[0,3,57],[0,4,25],[0,5,82],[0,6,23],[1,2,11],[1,3,80],[1,4,97],[1,6,17],[2,3,40],[2,4,14],[2,5,44],[2,6,54],[3,5,100],[3,6,27],[4,5,68],[4,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,2)=13,(0,1)=14,(2,4)=14,(1,6)=17,(0,6)=23,(0,4)=25,(3,6)=27,(2,3)=40,(2,5)=44,(4,6)=50,(2,6)=54,(0,3)=57,(4,5)=68,(1,3)=80,(0,5)=82,(1,4)=97,(3,5)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=1, Add (0,2)=13 Succeeded, w=24\",\"Find(0)=1, Find(1)=1, Add (0,1)=14 Failed, w=24\",\"Find(2)=1, Find(4)=4, Add (2,4)=14 Succeeded, w=38\",\"Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=55\",\"Find(0)=1, Find(6)=1, Add (0,6)=23 Failed, w=55\",\"Find(0)=1, Find(4)=1, Add (0,4)=25 Failed, w=55\",\"Find(3)=3, Find(6)=1, Add (3,6)=27 Succeeded, w=82\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=82\",\"Find(2)=1, Find(5)=5, Add (2,5)=44 Succeeded, w=126\",\"Find(4)=1, Find(6)=1, Add (4,6)=50 Failed, w=126\",\"Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=126\",\"Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=126\",\"Find(4)=1, Find(5)=1, Add (4,5)=68 Failed, w=126\",\"Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=126\",\"Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=126\",\"Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=126\",\"Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,13],[0,3,57],[0,4,25],[0,5,82],[0,6,23],[1,2,11],[1,3,80],[1,4,97],[1,6,17],[2,3,40],[2,4,14],[2,5,44],[2,6,54],[3,5,100],[3,6,27],[4,5,68],[4,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,2)=13,(0,1)=14,(2,4)=14,(1,6)=17,(0,6)=23,(0,4)=25,(3,6)=27,(2,3)=40,(2,5)=44,(4,6)=50,(2,6)=54,(0,3)=57,(4,5)=68,(1,3)=80,(0,5)=82,(1,4)=97,(3,5)=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)=11 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=1, Add (0,2)=13 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=1, Find(1)=1, Add (0,1)=14 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(2)=1, Find(4)=4, Add (2,4)=14 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=23 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=25 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=27 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=5, Add (2,5)=44 Succeeded, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=50 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=68 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,2,49],[0,3,78],[0,4,74],[0,5,64],[0,6,34],[1,2,53],[1,3,63],[1,4,59],[2,4,78],[2,5,0],[2,6,31],[3,4,26],[3,5,21],[3,6,74],[4,6,61],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,49],[0,3,78],[0,4,74],[0,5,64],[0,6,34],[1,2,53],[1,3,63],[1,4,59],[2,4,78],[2,5,0],[2,6,31],[3,4,26],[3,5,21],[3,6,74],[4,6,61],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,49],[0,3,78],[0,4,74],[0,5,64],[0,6,34],[1,2,53],[1,3,63],[1,4,59],[2,4,78],[2,5,0],[2,6,31],[3,4,26],[3,5,21],[3,6,74],[4,6,61],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (1,2)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,49],[0,3,78],[0,4,74],[0,5,64],[0,6,34],[1,2,53],[1,3,63],[1,4,59],[2,4,78],[2,5,0],[2,6,31],[3,4,26],[3,5,21],[3,6,74],[4,6,61],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (5,6)=19, w=19\",\"Add (3,5)=21, w=40\",\"Add (3,4)=26, w=66\",\"Add (0,6)=34, w=100\",\"Add (1,2)=53, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,49],[0,3,78],[0,4,74],[0,5,64],[0,6,34],[1,2,53],[1,3,63],[1,4,59],[2,4,78],[2,5,0],[2,6,31],[3,4,26],[3,5,21],[3,6,74],[4,6,61],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (5,6)=19 Succeeded, w=19\",\"Add (3,5)=21 Succeeded, w=40\",\"Add (3,4)=26 Succeeded, w=66\",\"Add (2,6)=31 Failed, w=66\",\"Add (0,6)=34 Succeeded, w=100\",\"Add (0,2)=49 Failed, w=100\",\"Add (1,2)=53 Succeeded, w=153\",\"Add (1,4)=59 Failed, w=153\",\"Add (4,6)=61 Failed, w=153\",\"Add (1,3)=63 Failed, w=153\",\"Add (0,5)=64 Failed, w=153\",\"Add (0,4)=74 Failed, w=153\",\"Add (3,6)=74 Failed, w=153\",\"Add (0,3)=78 Failed, w=153\",\"Add (2,4)=78 Failed, w=153\",\"Add (0,1)=82 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,49],[0,3,78],[0,4,74],[0,5,64],[0,6,34],[1,2,53],[1,3,63],[1,4,59],[2,4,78],[2,5,0],[2,6,31],[3,4,26],[3,5,21],[3,6,74],[4,6,61],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(5,6)=19,(3,5)=21,(3,4)=26,(2,6)=31,(0,6)=34,(0,2)=49,(1,2)=53,(1,4)=59,(4,6)=61,(1,3)=63,(0,5)=64,(0,4)=74,(3,6)=74,(0,3)=78,(2,4)=78,(0,1)=82]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(5)=2, Find(6)=6, Add (5,6)=19 Succeeded, w=19\",\"Find(3)=3, Find(5)=2, Add (3,5)=21 Succeeded, w=40\",\"Find(3)=2, Find(4)=4, Add (3,4)=26 Succeeded, w=66\",\"Find(2)=2, Find(6)=2, Add (2,6)=31 Failed, w=66\",\"Find(0)=0, Find(6)=2, Add (0,6)=34 Succeeded, w=100\",\"Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=100\",\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=153\",\"Find(1)=2, Find(4)=2, Add (1,4)=59 Failed, w=153\",\"Find(4)=2, Find(6)=2, Add (4,6)=61 Failed, w=153\",\"Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=153\",\"Find(0)=2, Find(5)=2, Add (0,5)=64 Failed, w=153\",\"Find(0)=2, Find(4)=2, Add (0,4)=74 Failed, w=153\",\"Find(3)=2, Find(6)=2, Add (3,6)=74 Failed, w=153\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=153\",\"Find(2)=2, Find(4)=2, Add (2,4)=78 Failed, w=153\",\"Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,49],[0,3,78],[0,4,74],[0,5,64],[0,6,34],[1,2,53],[1,3,63],[1,4,59],[2,4,78],[2,5,0],[2,6,31],[3,4,26],[3,5,21],[3,6,74],[4,6,61],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(5,6)=19,(3,5)=21,(3,4)=26,(2,6)=31,(0,6)=34,(0,2)=49,(1,2)=53,(1,4)=59,(4,6)=61,(1,3)=63,(0,5)=64,(0,4)=74,(3,6)=74,(0,3)=78,(2,4)=78,(0,1)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=3, Find(5)=2, Add (3,5)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=4, Add (3,4)=26 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=31 Failed, w=66\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=34 Succeeded, w=100\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=59 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=61 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=63 Failed, w=153\",\"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=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=74 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=74 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=78 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,20],[0,3,76],[0,4,92],[1,2,6],[1,3,70],[1,4,11],[2,3,27],[2,4,94],[3,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,20],[0,3,76],[0,4,92],[1,2,6],[1,3,70],[1,4,11],[2,3,27],[2,4,94],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,20],[0,3,76],[0,4,92],[1,2,6],[1,3,70],[1,4,11],[2,3,27],[2,4,94],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,20],[0,3,76],[0,4,92],[1,2,6],[1,3,70],[1,4,11],[2,3,27],[2,4,94],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (1,4)=11, w=17\",\"Add (0,2)=20, w=37\",\"Add (2,3)=27, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,20],[0,3,76],[0,4,92],[1,2,6],[1,3,70],[1,4,11],[2,3,27],[2,4,94],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (1,4)=11 Succeeded, w=17\",\"Add (0,2)=20 Succeeded, w=37\",\"Add (2,3)=27 Succeeded, w=64\",\"Add (0,1)=36 Failed, w=64\",\"Add (3,4)=42 Failed, w=64\",\"Add (1,3)=70 Failed, w=64\",\"Add (0,3)=76 Failed, w=64\",\"Add (0,4)=92 Failed, w=64\",\"Add (2,4)=94 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,20],[0,3,76],[0,4,92],[1,2,6],[1,3,70],[1,4,11],[2,3,27],[2,4,94],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,4)=11,(0,2)=20,(2,3)=27,(0,1)=36,(3,4)=42,(1,3)=70,(0,3)=76,(0,4)=92,(2,4)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=17\",\"Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=37\",\"Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=64\",\"Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=64\",\"Find(3)=1, Find(4)=1, Add (3,4)=42 Failed, w=64\",\"Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=64\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=64\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=64\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,20],[0,3,76],[0,4,92],[1,2,6],[1,3,70],[1,4,11],[2,3,27],[2,4,94],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,4)=11,(0,2)=20,(2,3)=27,(0,1)=36,(3,4)=42,(1,3)=70,(0,3)=76,(0,4)=92,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=42 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,55],[0,2,64],[0,3,51],[1,3,82],[2,3,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,64],[0,3,51],[1,3,82],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,64],[0,3,51],[1,3,82],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,64],[0,3,51],[1,3,82],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=51, w=51\",\"Add (0,1)=55, w=106\",\"Add (0,2)=64, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,64],[0,3,51],[1,3,82],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=51 Succeeded, w=51\",\"Add (0,1)=55 Succeeded, w=106\",\"Add (0,2)=64 Succeeded, w=170\",\"Add (2,3)=67 Failed, w=170\",\"Add (1,3)=82 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,64],[0,3,51],[1,3,82],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=51,(0,1)=55,(0,2)=64,(2,3)=67,(1,3)=82]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=51\",\"Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=106\",\"Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=170\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=170\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,64],[0,3,51],[1,3,82],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=51,(0,1)=55,(0,2)=64,(2,3)=67,(1,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,81],[0,3,93],[0,5,13],[0,6,53],[1,2,62],[1,4,32],[1,5,71],[1,6,15],[2,7,43],[3,4,64],[3,5,39],[3,6,14],[3,7,61],[4,7,23],[5,7,91],[6,7,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,93],[0,5,13],[0,6,53],[1,2,62],[1,4,32],[1,5,71],[1,6,15],[2,7,43],[3,4,64],[3,5,39],[3,6,14],[3,7,61],[4,7,23],[5,7,91],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,93],[0,5,13],[0,6,53],[1,2,62],[1,4,32],[1,5,71],[1,6,15],[2,7,43],[3,4,64],[3,5,39],[3,6,14],[3,7,61],[4,7,23],[5,7,91],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (0,5)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (4,7)\",\"Add (3,5)\",\"Add (2,7)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,93],[0,5,13],[0,6,53],[1,2,62],[1,4,32],[1,5,71],[1,6,15],[2,7,43],[3,4,64],[3,5,39],[3,6,14],[3,7,61],[4,7,23],[5,7,91],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=6, w=6\",\"Add (0,5)=13, w=19\",\"Add (3,6)=14, w=33\",\"Add (1,6)=15, w=48\",\"Add (4,7)=23, w=71\",\"Add (3,5)=39, w=110\",\"Add (2,7)=43, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,93],[0,5,13],[0,6,53],[1,2,62],[1,4,32],[1,5,71],[1,6,15],[2,7,43],[3,4,64],[3,5,39],[3,6,14],[3,7,61],[4,7,23],[5,7,91],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=6 Succeeded, w=6\",\"Add (0,5)=13 Succeeded, w=19\",\"Add (3,6)=14 Succeeded, w=33\",\"Add (1,6)=15 Succeeded, w=48\",\"Add (4,7)=23 Succeeded, w=71\",\"Add (1,4)=32 Failed, w=71\",\"Add (3,5)=39 Succeeded, w=110\",\"Add (2,7)=43 Succeeded, w=153\",\"Add (0,6)=53 Failed, w=153\",\"Add (3,7)=61 Failed, w=153\",\"Add (1,2)=62 Failed, w=153\",\"Add (3,4)=64 Failed, w=153\",\"Add (1,5)=71 Failed, w=153\",\"Add (0,1)=81 Failed, w=153\",\"Add (5,7)=91 Failed, w=153\",\"Add (0,3)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,93],[0,5,13],[0,6,53],[1,2,62],[1,4,32],[1,5,71],[1,6,15],[2,7,43],[3,4,64],[3,5,39],[3,6,14],[3,7,61],[4,7,23],[5,7,91],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=6,(0,5)=13,(3,6)=14,(1,6)=15,(4,7)=23,(1,4)=32,(3,5)=39,(2,7)=43,(0,6)=53,(3,7)=61,(1,2)=62,(3,4)=64,(1,5)=71,(0,1)=81,(5,7)=91,(0,3)=93]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=19\",\"Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=33\",\"Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=48\",\"Find(4)=4, Find(7)=6, Add (4,7)=23 Succeeded, w=71\",\"Find(1)=6, Find(4)=6, Add (1,4)=32 Failed, w=71\",\"Find(3)=6, Find(5)=0, Add (3,5)=39 Succeeded, w=110\",\"Find(2)=2, Find(7)=6, Add (2,7)=43 Succeeded, w=153\",\"Find(0)=6, Find(6)=6, Add (0,6)=53 Failed, w=153\",\"Find(3)=6, Find(7)=6, Add (3,7)=61 Failed, w=153\",\"Find(1)=6, Find(2)=6, Add (1,2)=62 Failed, w=153\",\"Find(3)=6, Find(4)=6, Add (3,4)=64 Failed, w=153\",\"Find(1)=6, Find(5)=6, Add (1,5)=71 Failed, w=153\",\"Find(0)=6, Find(1)=6, Add (0,1)=81 Failed, w=153\",\"Find(5)=6, Find(7)=6, Add (5,7)=91 Failed, w=153\",\"Find(0)=6, Find(3)=6, Add (0,3)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,3,93],[0,5,13],[0,6,53],[1,2,62],[1,4,32],[1,5,71],[1,6,15],[2,7,43],[3,4,64],[3,5,39],[3,6,14],[3,7,61],[4,7,23],[5,7,91],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=6,(0,5)=13,(3,6)=14,(1,6)=15,(4,7)=23,(1,4)=32,(3,5)=39,(2,7)=43,(0,6)=53,(3,7)=61,(1,2)=62,(3,4)=64,(1,5)=71,(0,1)=81,(5,7)=91,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 6}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 4, 5: 0, 6: 6, 7: 6}, Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=33\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 6, 4: 4, 5: 0, 6: 6, 7: 6}, Find(1)=1, Find(6)=6, Add (1,6)=15 Succeeded, w=48\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(4)=4, Find(7)=6, Add (4,7)=23 Succeeded, w=71\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(1)=6, Find(4)=6, Add (1,4)=32 Failed, w=71\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(3)=6, Find(5)=0, Add (3,5)=39 Succeeded, w=110\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=43 Succeeded, w=153\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(0)=6, Find(6)=6, Add (0,6)=53 Failed, w=153\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(3)=6, Find(7)=6, Add (3,7)=61 Failed, w=153\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(1)=6, Find(2)=6, Add (1,2)=62 Failed, w=153\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(3)=6, Find(4)=6, Add (3,4)=64 Failed, w=153\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(5)=6, Add (1,5)=71 Failed, w=153\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(1)=6, Add (0,1)=81 Failed, w=153\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(7)=6, Add (5,7)=91 Failed, w=153\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(3)=6, Add (0,3)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,6,9],[1,2,50],[1,3,92],[1,4,67],[1,5,33],[2,3,27],[2,4,72],[2,5,80],[2,6,65],[3,4,38],[3,5,96],[3,6,54],[4,6,17],[5,6,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,6,9],[1,2,50],[1,3,92],[1,4,67],[1,5,33],[2,3,27],[2,4,72],[2,5,80],[2,6,65],[3,4,38],[3,5,96],[3,6,54],[4,6,17],[5,6,59]]}",
"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],\"edges\":[[0,6,9],[1,2,50],[1,3,92],[1,4,67],[1,5,33],[2,3,27],[2,4,72],[2,5,80],[2,6,65],[3,4,38],[3,5,96],[3,6,54],[4,6,17],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,6,9],[1,2,50],[1,3,92],[1,4,67],[1,5,33],[2,3,27],[2,4,72],[2,5,80],[2,6,65],[3,4,38],[3,5,96],[3,6,54],[4,6,17],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9, w=9\",\"Add (4,6)=17, w=26\",\"Add (2,3)=27, w=53\",\"Add (1,5)=33, w=86\",\"Add (3,4)=38, w=124\",\"Add (1,2)=50, 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],\"edges\":[[0,6,9],[1,2,50],[1,3,92],[1,4,67],[1,5,33],[2,3,27],[2,4,72],[2,5,80],[2,6,65],[3,4,38],[3,5,96],[3,6,54],[4,6,17],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9 Succeeded, w=9\",\"Add (4,6)=17 Succeeded, w=26\",\"Add (2,3)=27 Succeeded, w=53\",\"Add (1,5)=33 Succeeded, w=86\",\"Add (3,4)=38 Succeeded, w=124\",\"Add (1,2)=50 Succeeded, w=174\",\"Add (3,6)=54 Failed, w=174\",\"Add (5,6)=59 Failed, w=174\",\"Add (2,6)=65 Failed, w=174\",\"Add (1,4)=67 Failed, w=174\",\"Add (2,4)=72 Failed, w=174\",\"Add (2,5)=80 Failed, w=174\",\"Add (1,3)=92 Failed, w=174\",\"Add (3,5)=96 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],\"edges\":[[0,6,9],[1,2,50],[1,3,92],[1,4,67],[1,5,33],[2,3,27],[2,4,72],[2,5,80],[2,6,65],[3,4,38],[3,5,96],[3,6,54],[4,6,17],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(4,6)=17,(2,3)=27,(1,5)=33,(3,4)=38,(1,2)=50,(3,6)=54,(5,6)=59,(2,6)=65,(1,4)=67,(2,4)=72,(2,5)=80,(1,3)=92,(3,5)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Find(4)=4, Find(6)=0, Add (4,6)=17 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=53\",\"Find(1)=1, Find(5)=5, Add (1,5)=33 Succeeded, w=86\",\"Find(3)=2, Find(4)=0, Add (3,4)=38 Succeeded, w=124\",\"Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=174\",\"Find(3)=2, Find(6)=2, Add (3,6)=54 Failed, w=174\",\"Find(5)=2, Find(6)=2, Add (5,6)=59 Failed, w=174\",\"Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=174\",\"Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=174\",\"Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=174\",\"Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=174\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=174\",\"Find(3)=2, Find(5)=2, Add (3,5)=96 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],\"edges\":[[0,6,9],[1,2,50],[1,3,92],[1,4,67],[1,5,33],[2,3,27],[2,4,72],[2,5,80],[2,6,65],[3,4,38],[3,5,96],[3,6,54],[4,6,17],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(4,6)=17,(2,3)=27,(1,5)=33,(3,4)=38,(1,2)=50,(3,6)=54,(5,6)=59,(2,6)=65,(1,4)=67,(2,4)=72,(2,5)=80,(1,3)=92,(3,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=17 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=33 Succeeded, w=86\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1, 6: 0}, Find(3)=2, Find(4)=0, Add (3,4)=38 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=54 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=59 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=96 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,2,43],[0,3,23],[0,4,9],[0,5,84],[1,2,96],[1,3,19],[1,4,79],[1,5,65],[2,3,36],[2,4,59],[2,5,65],[3,4,40],[3,5,100],[4,5,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,43],[0,3,23],[0,4,9],[0,5,84],[1,2,96],[1,3,19],[1,4,79],[1,5,65],[2,3,36],[2,4,59],[2,5,65],[3,4,40],[3,5,100],[4,5,14]]}",
"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\":[[0,1,68],[0,2,43],[0,3,23],[0,4,9],[0,5,84],[1,2,96],[1,3,19],[1,4,79],[1,5,65],[2,3,36],[2,4,59],[2,5,65],[3,4,40],[3,5,100],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,43],[0,3,23],[0,4,9],[0,5,84],[1,2,96],[1,3,19],[1,4,79],[1,5,65],[2,3,36],[2,4,59],[2,5,65],[3,4,40],[3,5,100],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (4,5)=14, w=23\",\"Add (1,3)=19, w=42\",\"Add (0,3)=23, w=65\",\"Add (2,3)=36, 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\":[[0,1,68],[0,2,43],[0,3,23],[0,4,9],[0,5,84],[1,2,96],[1,3,19],[1,4,79],[1,5,65],[2,3,36],[2,4,59],[2,5,65],[3,4,40],[3,5,100],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (4,5)=14 Succeeded, w=23\",\"Add (1,3)=19 Succeeded, w=42\",\"Add (0,3)=23 Succeeded, w=65\",\"Add (2,3)=36 Succeeded, w=101\",\"Add (3,4)=40 Failed, w=101\",\"Add (0,2)=43 Failed, w=101\",\"Add (2,4)=59 Failed, w=101\",\"Add (1,5)=65 Failed, w=101\",\"Add (2,5)=65 Failed, w=101\",\"Add (0,1)=68 Failed, w=101\",\"Add (1,4)=79 Failed, w=101\",\"Add (0,5)=84 Failed, w=101\",\"Add (1,2)=96 Failed, w=101\",\"Add (3,5)=100 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\":[[0,1,68],[0,2,43],[0,3,23],[0,4,9],[0,5,84],[1,2,96],[1,3,19],[1,4,79],[1,5,65],[2,3,36],[2,4,59],[2,5,65],[3,4,40],[3,5,100],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(4,5)=14,(1,3)=19,(0,3)=23,(2,3)=36,(3,4)=40,(0,2)=43,(2,4)=59,(1,5)=65,(2,5)=65,(0,1)=68,(1,4)=79,(0,5)=84,(1,2)=96,(3,5)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(4)=0, Find(5)=5, Add (4,5)=14 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=42\",\"Find(0)=0, Find(3)=1, Add (0,3)=23 Succeeded, w=65\",\"Find(2)=2, Find(3)=0, Add (2,3)=36 Succeeded, w=101\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=101\",\"Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=101\",\"Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=101\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=101\",\"Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=101\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=101\",\"Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=101\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=101\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=101\",\"Find(3)=0, Find(5)=0, Add (3,5)=100 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\":[[0,1,68],[0,2,43],[0,3,23],[0,4,9],[0,5,84],[1,2,96],[1,3,19],[1,4,79],[1,5,65],[2,3,36],[2,4,59],[2,5,65],[3,4,40],[3,5,100],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(4,5)=14,(1,3)=19,(0,3)=23,(2,3)=36,(3,4)=40,(0,2)=43,(2,4)=59,(1,5)=65,(2,5)=65,(0,1)=68,(1,4)=79,(0,5)=84,(1,2)=96,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(3)=1, Add (0,3)=23 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=36 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=65 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)=68 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=100 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,3],[0,2,20],[0,3,43],[0,4,73],[0,5,9],[0,6,12],[1,2,27],[1,3,20],[1,5,49],[1,6,8],[2,3,38],[2,5,11],[2,6,67],[3,4,54],[3,6,7],[4,5,29],[4,6,27],[5,6,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,20],[0,3,43],[0,4,73],[0,5,9],[0,6,12],[1,2,27],[1,3,20],[1,5,49],[1,6,8],[2,3,38],[2,5,11],[2,6,67],[3,4,54],[3,6,7],[4,5,29],[4,6,27],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,20],[0,3,43],[0,4,73],[0,5,9],[0,6,12],[1,2,27],[1,3,20],[1,5,49],[1,6,8],[2,3,38],[2,5,11],[2,6,67],[3,4,54],[3,6,7],[4,5,29],[4,6,27],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (4,6)\"],\"Answer\":65}",
"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],[0,2,20],[0,3,43],[0,4,73],[0,5,9],[0,6,12],[1,2,27],[1,3,20],[1,5,49],[1,6,8],[2,3,38],[2,5,11],[2,6,67],[3,4,54],[3,6,7],[4,5,29],[4,6,27],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (3,6)=7, w=10\",\"Add (1,6)=8, w=18\",\"Add (0,5)=9, w=27\",\"Add (2,5)=11, w=38\",\"Add (4,6)=27, w=65\"],\"Answer\":65}",
"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],[0,2,20],[0,3,43],[0,4,73],[0,5,9],[0,6,12],[1,2,27],[1,3,20],[1,5,49],[1,6,8],[2,3,38],[2,5,11],[2,6,67],[3,4,54],[3,6,7],[4,5,29],[4,6,27],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (3,6)=7 Succeeded, w=10\",\"Add (1,6)=8 Succeeded, w=18\",\"Add (0,5)=9 Succeeded, w=27\",\"Add (2,5)=11 Succeeded, w=38\",\"Add (0,6)=12 Failed, w=38\",\"Add (0,2)=20 Failed, w=38\",\"Add (1,3)=20 Failed, w=38\",\"Add (1,2)=27 Failed, w=38\",\"Add (4,6)=27 Succeeded, w=65\",\"Add (4,5)=29 Failed, w=65\",\"Add (2,3)=38 Failed, w=65\",\"Add (0,3)=43 Failed, w=65\",\"Add (1,5)=49 Failed, w=65\",\"Add (3,4)=54 Failed, w=65\",\"Add (2,6)=67 Failed, w=65\",\"Add (0,4)=73 Failed, w=65\",\"Add (5,6)=96 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,20],[0,3,43],[0,4,73],[0,5,9],[0,6,12],[1,2,27],[1,3,20],[1,5,49],[1,6,8],[2,3,38],[2,5,11],[2,6,67],[3,4,54],[3,6,7],[4,5,29],[4,6,27],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(3,6)=7,(1,6)=8,(0,5)=9,(2,5)=11,(0,6)=12,(0,2)=20,(1,3)=20,(1,2)=27,(4,6)=27,(4,5)=29,(2,3)=38,(0,3)=43,(1,5)=49,(3,4)=54,(2,6)=67,(0,4)=73,(5,6)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(3)=3, Find(6)=6, Add (3,6)=7 Succeeded, w=10\",\"Find(1)=0, Find(6)=3, Add (1,6)=8 Succeeded, w=18\",\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=27\",\"Find(2)=2, Find(5)=0, Add (2,5)=11 Succeeded, w=38\",\"Find(0)=0, Find(6)=0, Add (0,6)=12 Failed, w=38\",\"Find(0)=0, Find(2)=0, Add (0,2)=20 Failed, w=38\",\"Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=38\",\"Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=38\",\"Find(4)=4, Find(6)=0, Add (4,6)=27 Succeeded, w=65\",\"Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=65\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=65\",\"Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=65\",\"Find(1)=0, Find(5)=0, Add (1,5)=49 Failed, w=65\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=65\",\"Find(2)=0, Find(6)=0, Add (2,6)=67 Failed, w=65\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=65\",\"Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,20],[0,3,43],[0,4,73],[0,5,9],[0,6,12],[1,2,27],[1,3,20],[1,5,49],[1,6,8],[2,3,38],[2,5,11],[2,6,67],[3,4,54],[3,6,7],[4,5,29],[4,6,27],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(3,6)=7,(1,6)=8,(0,5)=9,(2,5)=11,(0,6)=12,(0,2)=20,(1,3)=20,(1,2)=27,(4,6)=27,(4,5)=29,(2,3)=38,(0,3)=43,(1,5)=49,(3,4)=54,(2,6)=67,(0,4)=73,(5,6)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 3}, Find(1)=0, Find(6)=3, Add (1,6)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 3}, Find(2)=2, Find(5)=0, Add (2,5)=11 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=12 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=20 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=27 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=49 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=67 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,3,15],[1,3,38],[1,4,55],[2,3,48],[2,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,3,15],[1,3,38],[1,4,55],[2,3,48],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,3,15],[1,3,38],[1,4,55],[2,3,48],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,3,15],[1,3,38],[1,4,55],[2,3,48],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (2,4)=34, w=49\",\"Add (1,3)=38, w=87\",\"Add (2,3)=48, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,3,15],[1,3,38],[1,4,55],[2,3,48],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (2,4)=34 Succeeded, w=49\",\"Add (1,3)=38 Succeeded, w=87\",\"Add (2,3)=48 Succeeded, w=135\",\"Add (1,4)=55 Failed, w=135\",\"Add (0,1)=78 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,3,15],[1,3,38],[1,4,55],[2,3,48],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(2,4)=34,(1,3)=38,(2,3)=48,(1,4)=55,(0,1)=78]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=49\",\"Find(1)=1, Find(3)=0, Add (1,3)=38 Succeeded, w=87\",\"Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=135\",\"Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=135\",\"Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,3,15],[1,3,38],[1,4,55],[2,3,48],[2,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(2,4)=34,(1,3)=38,(2,3)=48,(1,4)=55,(0,1)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(3)=0, Add (1,3)=38 Succeeded, w=87\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,32],[0,4,40],[1,2,59],[1,4,95],[2,3,41],[2,4,22],[2,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,32],[0,4,40],[1,2,59],[1,4,95],[2,3,41],[2,4,22],[2,5,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,32],[0,4,40],[1,2,59],[1,4,95],[2,3,41],[2,4,22],[2,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (2,5)\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,32],[0,4,40],[1,2,59],[1,4,95],[2,3,41],[2,4,22],[2,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=22, w=22\",\"Add (0,2)=32, w=54\",\"Add (0,1)=33, w=87\",\"Add (2,3)=41, w=128\",\"Add (2,5)=80, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,32],[0,4,40],[1,2,59],[1,4,95],[2,3,41],[2,4,22],[2,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=22 Succeeded, w=22\",\"Add (0,2)=32 Succeeded, w=54\",\"Add (0,1)=33 Succeeded, w=87\",\"Add (0,4)=40 Failed, w=87\",\"Add (2,3)=41 Succeeded, w=128\",\"Add (1,2)=59 Failed, w=128\",\"Add (2,5)=80 Succeeded, w=208\",\"Add (1,4)=95 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,32],[0,4,40],[1,2,59],[1,4,95],[2,3,41],[2,4,22],[2,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=22,(0,2)=32,(0,1)=33,(0,4)=40,(2,3)=41,(1,2)=59,(2,5)=80,(1,4)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=22\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=54\",\"Find(0)=2, Find(1)=1, Add (0,1)=33 Succeeded, w=87\",\"Find(0)=2, Find(4)=2, Add (0,4)=40 Failed, w=87\",\"Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=128\",\"Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=128\",\"Find(2)=2, Find(5)=5, Add (2,5)=80 Succeeded, w=208\",\"Find(1)=2, Find(4)=2, Add (1,4)=95 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,32],[0,4,40],[1,2,59],[1,4,95],[2,3,41],[2,4,22],[2,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=22,(0,2)=32,(0,1)=33,(0,4)=40,(2,3)=41,(1,2)=59,(2,5)=80,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=2, Find(1)=1, Add (0,1)=33 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=2, Find(4)=2, Add (0,4)=40 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=80 Succeeded, w=208\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=95 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,3,70],[0,4,0],[0,6,99],[1,2,46],[1,3,66],[1,4,75],[1,5,67],[2,3,93],[2,4,76],[2,5,6],[2,6,63],[3,4,37],[3,5,89],[3,6,91],[4,5,72],[4,6,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,3,70],[0,4,0],[0,6,99],[1,2,46],[1,3,66],[1,4,75],[1,5,67],[2,3,93],[2,4,76],[2,5,6],[2,6,63],[3,4,37],[3,5,89],[3,6,91],[4,5,72],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,3,70],[0,4,0],[0,6,99],[1,2,46],[1,3,66],[1,4,75],[1,5,67],[2,3,93],[2,4,76],[2,5,6],[2,6,63],[3,4,37],[3,5,89],[3,6,91],[4,5,72],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (2,6)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,3,70],[0,4,0],[0,6,99],[1,2,46],[1,3,66],[1,4,75],[1,5,67],[2,3,93],[2,4,76],[2,5,6],[2,6,63],[3,4,37],[3,5,89],[3,6,91],[4,5,72],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (2,5)=6, w=6\",\"Add (0,1)=10, w=16\",\"Add (3,4)=37, w=53\",\"Add (1,2)=46, w=99\",\"Add (2,6)=63, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,3,70],[0,4,0],[0,6,99],[1,2,46],[1,3,66],[1,4,75],[1,5,67],[2,3,93],[2,4,76],[2,5,6],[2,6,63],[3,4,37],[3,5,89],[3,6,91],[4,5,72],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (2,5)=6 Succeeded, w=6\",\"Add (0,1)=10 Succeeded, w=16\",\"Add (3,4)=37 Succeeded, w=53\",\"Add (1,2)=46 Succeeded, w=99\",\"Add (2,6)=63 Succeeded, w=162\",\"Add (1,3)=66 Failed, w=162\",\"Add (1,5)=67 Failed, w=162\",\"Add (4,6)=68 Failed, w=162\",\"Add (0,3)=70 Failed, w=162\",\"Add (4,5)=72 Failed, w=162\",\"Add (1,4)=75 Failed, w=162\",\"Add (2,4)=76 Failed, w=162\",\"Add (3,5)=89 Failed, w=162\",\"Add (3,6)=91 Failed, w=162\",\"Add (2,3)=93 Failed, w=162\",\"Add (0,6)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,3,70],[0,4,0],[0,6,99],[1,2,46],[1,3,66],[1,4,75],[1,5,67],[2,3,93],[2,4,76],[2,5,6],[2,6,63],[3,4,37],[3,5,89],[3,6,91],[4,5,72],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,5)=6,(0,1)=10,(3,4)=37,(1,2)=46,(2,6)=63,(1,3)=66,(1,5)=67,(4,6)=68,(0,3)=70,(4,5)=72,(1,4)=75,(2,4)=76,(3,5)=89,(3,6)=91,(2,3)=93,(0,6)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=16\",\"Find(3)=3, Find(4)=0, Add (3,4)=37 Succeeded, w=53\",\"Find(1)=0, Find(2)=2, Add (1,2)=46 Succeeded, w=99\",\"Find(2)=0, Find(6)=6, Add (2,6)=63 Succeeded, w=162\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=162\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=162\",\"Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=162\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=162\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=162\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=162\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=162\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=162\",\"Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=162\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=162\",\"Find(0)=0, Find(6)=0, Add (0,6)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,3,70],[0,4,0],[0,6,99],[1,2,46],[1,3,66],[1,4,75],[1,5,67],[2,3,93],[2,4,76],[2,5,6],[2,6,63],[3,4,37],[3,5,89],[3,6,91],[4,5,72],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,5)=6,(0,1)=10,(3,4)=37,(1,2)=46,(2,6)=63,(1,3)=66,(1,5)=67,(4,6)=68,(0,3)=70,(4,5)=72,(1,4)=75,(2,4)=76,(3,5)=89,(3,6)=91,(2,3)=93,(0,6)=99]\",\"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: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=37 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=46 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=63 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=162\",\"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=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,88],[0,2,88],[0,4,69],[0,5,71],[0,6,68],[1,2,31],[1,3,91],[1,6,99],[1,7,7],[2,3,41],[2,6,91],[2,7,18],[3,6,7],[5,6,13],[6,7,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,88],[0,4,69],[0,5,71],[0,6,68],[1,2,31],[1,3,91],[1,6,99],[1,7,7],[2,3,41],[2,6,91],[2,7,18],[3,6,7],[5,6,13],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,88],[0,4,69],[0,5,71],[0,6,68],[1,2,31],[1,3,91],[1,6,99],[1,7,7],[2,3,41],[2,6,91],[2,7,18],[3,6,7],[5,6,13],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (2,7)\",\"Add (6,7)\",\"Add (0,6)\",\"Add (0,4)\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,88],[0,4,69],[0,5,71],[0,6,68],[1,2,31],[1,3,91],[1,6,99],[1,7,7],[2,3,41],[2,6,91],[2,7,18],[3,6,7],[5,6,13],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=7, w=7\",\"Add (3,6)=7, w=14\",\"Add (5,6)=13, w=27\",\"Add (2,7)=18, w=45\",\"Add (6,7)=31, w=76\",\"Add (0,6)=68, w=144\",\"Add (0,4)=69, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,88],[0,4,69],[0,5,71],[0,6,68],[1,2,31],[1,3,91],[1,6,99],[1,7,7],[2,3,41],[2,6,91],[2,7,18],[3,6,7],[5,6,13],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=7 Succeeded, w=7\",\"Add (3,6)=7 Succeeded, w=14\",\"Add (5,6)=13 Succeeded, w=27\",\"Add (2,7)=18 Succeeded, w=45\",\"Add (1,2)=31 Failed, w=45\",\"Add (6,7)=31 Succeeded, w=76\",\"Add (2,3)=41 Failed, w=76\",\"Add (0,6)=68 Succeeded, w=144\",\"Add (0,4)=69 Succeeded, w=213\",\"Add (0,5)=71 Failed, w=213\",\"Add (0,1)=88 Failed, w=213\",\"Add (0,2)=88 Failed, w=213\",\"Add (1,3)=91 Failed, w=213\",\"Add (2,6)=91 Failed, w=213\",\"Add (1,6)=99 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,88],[0,4,69],[0,5,71],[0,6,68],[1,2,31],[1,3,91],[1,6,99],[1,7,7],[2,3,41],[2,6,91],[2,7,18],[3,6,7],[5,6,13],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=7,(3,6)=7,(5,6)=13,(2,7)=18,(1,2)=31,(6,7)=31,(2,3)=41,(0,6)=68,(0,4)=69,(0,5)=71,(0,1)=88,(0,2)=88,(1,3)=91,(2,6)=91,(1,6)=99]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Find(3)=3, Find(6)=6, Add (3,6)=7 Succeeded, w=14\",\"Find(5)=5, Find(6)=3, Add (5,6)=13 Succeeded, w=27\",\"Find(2)=2, Find(7)=1, Add (2,7)=18 Succeeded, w=45\",\"Find(1)=1, Find(2)=1, Add (1,2)=31 Failed, w=45\",\"Find(6)=3, Find(7)=1, Add (6,7)=31 Succeeded, w=76\",\"Find(2)=3, Find(3)=3, Add (2,3)=41 Failed, w=76\",\"Find(0)=0, Find(6)=3, Add (0,6)=68 Succeeded, w=144\",\"Find(0)=3, Find(4)=4, Add (0,4)=69 Succeeded, w=213\",\"Find(0)=3, Find(5)=3, Add (0,5)=71 Failed, w=213\",\"Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=213\",\"Find(0)=3, Find(2)=3, Add (0,2)=88 Failed, w=213\",\"Find(1)=3, Find(3)=3, Add (1,3)=91 Failed, w=213\",\"Find(2)=3, Find(6)=3, Add (2,6)=91 Failed, w=213\",\"Find(1)=3, Find(6)=3, Add (1,6)=99 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,88],[0,4,69],[0,5,71],[0,6,68],[1,2,31],[1,3,91],[1,6,99],[1,7,7],[2,3,41],[2,6,91],[2,7,18],[3,6,7],[5,6,13],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=7,(3,6)=7,(5,6)=13,(2,7)=18,(1,2)=31,(6,7)=31,(2,3)=41,(0,6)=68,(0,4)=69,(0,5)=71,(0,1)=88,(0,2)=88,(1,3)=91,(2,6)=91,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 1}, Find(3)=3, Find(6)=6, Add (3,6)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(5)=5, Find(6)=3, Add (5,6)=13 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=31 Failed, w=45\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(6)=3, Find(7)=1, Add (6,7)=31 Succeeded, w=76\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(2)=3, Find(3)=3, Add (2,3)=41 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(0)=0, Find(6)=3, Add (0,6)=68 Succeeded, w=144\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(0)=3, Find(4)=4, Add (0,4)=69 Succeeded, w=213\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(0)=3, Find(5)=3, Add (0,5)=71 Failed, w=213\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=213\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(0)=3, Find(2)=3, Add (0,2)=88 Failed, w=213\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(3)=3, Add (1,3)=91 Failed, w=213\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(2)=3, Find(6)=3, Add (2,6)=91 Failed, w=213\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(6)=3, Add (1,6)=99 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,69],[0,2,30],[0,4,70],[0,5,88],[0,6,41],[1,2,50],[1,3,18],[1,4,22],[1,5,14],[1,6,10],[2,3,37],[2,4,36],[2,5,98],[2,6,54],[3,4,98],[3,5,60],[4,5,27],[5,6,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,30],[0,4,70],[0,5,88],[0,6,41],[1,2,50],[1,3,18],[1,4,22],[1,5,14],[1,6,10],[2,3,37],[2,4,36],[2,5,98],[2,6,54],[3,4,98],[3,5,60],[4,5,27],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,30],[0,4,70],[0,5,88],[0,6,41],[1,2,50],[1,3,18],[1,4,22],[1,5,14],[1,6,10],[2,3,37],[2,4,36],[2,5,98],[2,6,54],[3,4,98],[3,5,60],[4,5,27],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,30],[0,4,70],[0,5,88],[0,6,41],[1,2,50],[1,3,18],[1,4,22],[1,5,14],[1,6,10],[2,3,37],[2,4,36],[2,5,98],[2,6,54],[3,4,98],[3,5,60],[4,5,27],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=10, w=10\",\"Add (1,5)=14, w=24\",\"Add (1,3)=18, w=42\",\"Add (1,4)=22, w=64\",\"Add (0,2)=30, w=94\",\"Add (2,4)=36, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,30],[0,4,70],[0,5,88],[0,6,41],[1,2,50],[1,3,18],[1,4,22],[1,5,14],[1,6,10],[2,3,37],[2,4,36],[2,5,98],[2,6,54],[3,4,98],[3,5,60],[4,5,27],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=10 Succeeded, w=10\",\"Add (1,5)=14 Succeeded, w=24\",\"Add (1,3)=18 Succeeded, w=42\",\"Add (1,4)=22 Succeeded, w=64\",\"Add (4,5)=27 Failed, w=64\",\"Add (0,2)=30 Succeeded, w=94\",\"Add (2,4)=36 Succeeded, w=130\",\"Add (2,3)=37 Failed, w=130\",\"Add (0,6)=41 Failed, w=130\",\"Add (1,2)=50 Failed, w=130\",\"Add (2,6)=54 Failed, w=130\",\"Add (3,5)=60 Failed, w=130\",\"Add (0,1)=69 Failed, w=130\",\"Add (0,4)=70 Failed, w=130\",\"Add (0,5)=88 Failed, w=130\",\"Add (5,6)=93 Failed, w=130\",\"Add (2,5)=98 Failed, w=130\",\"Add (3,4)=98 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,30],[0,4,70],[0,5,88],[0,6,41],[1,2,50],[1,3,18],[1,4,22],[1,5,14],[1,6,10],[2,3,37],[2,4,36],[2,5,98],[2,6,54],[3,4,98],[3,5,60],[4,5,27],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=10,(1,5)=14,(1,3)=18,(1,4)=22,(4,5)=27,(0,2)=30,(2,4)=36,(2,3)=37,(0,6)=41,(1,2)=50,(2,6)=54,(3,5)=60,(0,1)=69,(0,4)=70,(0,5)=88,(5,6)=93,(2,5)=98,(3,4)=98]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=10 Succeeded, w=10\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=42\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=64\",\"Find(4)=1, Find(5)=1, Add (4,5)=27 Failed, w=64\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=94\",\"Find(2)=0, Find(4)=1, Add (2,4)=36 Succeeded, w=130\",\"Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=130\",\"Find(0)=0, Find(6)=0, Add (0,6)=41 Failed, w=130\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=130\",\"Find(2)=0, Find(6)=0, Add (2,6)=54 Failed, w=130\",\"Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=130\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=130\",\"Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=130\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=130\",\"Find(5)=0, Find(6)=0, Add (5,6)=93 Failed, w=130\",\"Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=130\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,30],[0,4,70],[0,5,88],[0,6,41],[1,2,50],[1,3,18],[1,4,22],[1,5,14],[1,6,10],[2,3,37],[2,4,36],[2,5,98],[2,6,54],[3,4,98],[3,5,60],[4,5,27],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=10,(1,5)=14,(1,3)=18,(1,4)=22,(4,5)=27,(0,2)=30,(2,4)=36,(2,3)=37,(0,6)=41,(1,2)=50,(2,6)=54,(3,5)=60,(0,1)=69,(0,4)=70,(0,5)=88,(5,6)=93,(2,5)=98,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=27 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=0, Find(4)=1, Add (2,4)=36 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1}, Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=41 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=54 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=93 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=98 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,9],[0,2,3],[0,3,98],[0,4,29],[0,6,19],[0,7,22],[1,2,46],[1,3,52],[1,4,29],[1,6,92],[1,7,37],[2,4,25],[2,5,42],[2,6,76],[2,7,10],[3,4,58],[3,5,27],[3,6,40],[3,7,91],[4,5,96],[4,7,45],[5,6,83],[5,7,5],[6,7,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,3],[0,3,98],[0,4,29],[0,6,19],[0,7,22],[1,2,46],[1,3,52],[1,4,29],[1,6,92],[1,7,37],[2,4,25],[2,5,42],[2,6,76],[2,7,10],[3,4,58],[3,5,27],[3,6,40],[3,7,91],[4,5,96],[4,7,45],[5,6,83],[5,7,5],[6,7,69]]}",
"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\":[[0,1,9],[0,2,3],[0,3,98],[0,4,29],[0,6,19],[0,7,22],[1,2,46],[1,3,52],[1,4,29],[1,6,92],[1,7,37],[2,4,25],[2,5,42],[2,6,76],[2,7,10],[3,4,58],[3,5,27],[3,6,40],[3,7,91],[4,5,96],[4,7,45],[5,6,83],[5,7,5],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (5,7)\",\"Add (0,1)\",\"Add (2,7)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (3,5)\"],\"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\":[[0,1,9],[0,2,3],[0,3,98],[0,4,29],[0,6,19],[0,7,22],[1,2,46],[1,3,52],[1,4,29],[1,6,92],[1,7,37],[2,4,25],[2,5,42],[2,6,76],[2,7,10],[3,4,58],[3,5,27],[3,6,40],[3,7,91],[4,5,96],[4,7,45],[5,6,83],[5,7,5],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (5,7)=5, w=8\",\"Add (0,1)=9, w=17\",\"Add (2,7)=10, w=27\",\"Add (0,6)=19, w=46\",\"Add (2,4)=25, w=71\",\"Add (3,5)=27, 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\":[[0,1,9],[0,2,3],[0,3,98],[0,4,29],[0,6,19],[0,7,22],[1,2,46],[1,3,52],[1,4,29],[1,6,92],[1,7,37],[2,4,25],[2,5,42],[2,6,76],[2,7,10],[3,4,58],[3,5,27],[3,6,40],[3,7,91],[4,5,96],[4,7,45],[5,6,83],[5,7,5],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (5,7)=5 Succeeded, w=8\",\"Add (0,1)=9 Succeeded, w=17\",\"Add (2,7)=10 Succeeded, w=27\",\"Add (0,6)=19 Succeeded, w=46\",\"Add (0,7)=22 Failed, w=46\",\"Add (2,4)=25 Succeeded, w=71\",\"Add (3,5)=27 Succeeded, w=98\",\"Add (0,4)=29 Failed, w=98\",\"Add (1,4)=29 Failed, w=98\",\"Add (1,7)=37 Failed, w=98\",\"Add (3,6)=40 Failed, w=98\",\"Add (2,5)=42 Failed, w=98\",\"Add (4,7)=45 Failed, w=98\",\"Add (1,2)=46 Failed, w=98\",\"Add (1,3)=52 Failed, w=98\",\"Add (3,4)=58 Failed, w=98\",\"Add (6,7)=69 Failed, w=98\",\"Add (2,6)=76 Failed, w=98\",\"Add (5,6)=83 Failed, w=98\",\"Add (3,7)=91 Failed, w=98\",\"Add (1,6)=92 Failed, w=98\",\"Add (4,5)=96 Failed, w=98\",\"Add (0,3)=98 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\":[[0,1,9],[0,2,3],[0,3,98],[0,4,29],[0,6,19],[0,7,22],[1,2,46],[1,3,52],[1,4,29],[1,6,92],[1,7,37],[2,4,25],[2,5,42],[2,6,76],[2,7,10],[3,4,58],[3,5,27],[3,6,40],[3,7,91],[4,5,96],[4,7,45],[5,6,83],[5,7,5],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(5,7)=5,(0,1)=9,(2,7)=10,(0,6)=19,(0,7)=22,(2,4)=25,(3,5)=27,(0,4)=29,(1,4)=29,(1,7)=37,(3,6)=40,(2,5)=42,(4,7)=45,(1,2)=46,(1,3)=52,(3,4)=58,(6,7)=69,(2,6)=76,(5,6)=83,(3,7)=91,(1,6)=92,(4,5)=96,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(5)=5, Find(7)=7, Add (5,7)=5 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=17\",\"Find(2)=0, Find(7)=5, Add (2,7)=10 Succeeded, w=27\",\"Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=46\",\"Find(0)=0, Find(7)=0, Add (0,7)=22 Failed, w=46\",\"Find(2)=0, Find(4)=4, Add (2,4)=25 Succeeded, w=71\",\"Find(3)=3, Find(5)=0, Add (3,5)=27 Succeeded, w=98\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=98\",\"Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=98\",\"Find(1)=0, Find(7)=0, Add (1,7)=37 Failed, w=98\",\"Find(3)=0, Find(6)=0, Add (3,6)=40 Failed, w=98\",\"Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=98\",\"Find(4)=0, Find(7)=0, Add (4,7)=45 Failed, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=98\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=98\",\"Find(6)=0, Find(7)=0, Add (6,7)=69 Failed, w=98\",\"Find(2)=0, Find(6)=0, Add (2,6)=76 Failed, w=98\",\"Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=98\",\"Find(3)=0, Find(7)=0, Add (3,7)=91 Failed, w=98\",\"Find(1)=0, Find(6)=0, Add (1,6)=92 Failed, w=98\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=98\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 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\":[[0,1,9],[0,2,3],[0,3,98],[0,4,29],[0,6,19],[0,7,22],[1,2,46],[1,3,52],[1,4,29],[1,6,92],[1,7,37],[2,4,25],[2,5,42],[2,6,76],[2,7,10],[3,4,58],[3,5,27],[3,6,40],[3,7,91],[4,5,96],[4,7,45],[5,6,83],[5,7,5],[6,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(5,7)=5,(0,1)=9,(2,7)=10,(0,6)=19,(0,7)=22,(2,4)=25,(3,5)=27,(0,4)=29,(1,4)=29,(1,7)=37,(3,6)=40,(2,5)=42,(4,7)=45,(1,2)=46,(1,3)=52,(3,4)=58,(6,7)=69,(2,6)=76,(5,6)=83,(3,7)=91,(1,6)=92,(4,5)=96,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 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: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 5}, Find(2)=0, Find(7)=5, Add (2,7)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=22 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=25 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(5)=0, Add (3,5)=27 Succeeded, w=98\",\"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)=29 Failed, w=98\",\"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)=29 Failed, w=98\",\"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)=37 Failed, w=98\",\"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)=40 Failed, w=98\",\"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)=42 Failed, w=98\",\"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)=45 Failed, w=98\",\"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)=46 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=98\",\"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)=58 Failed, w=98\",\"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=98\",\"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)=76 Failed, w=98\",\"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)=83 Failed, w=98\",\"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)=91 Failed, w=98\",\"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)=92 Failed, w=98\",\"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)=96 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,8],[0,2,53],[0,3,28],[0,5,99],[0,6,43],[0,7,78],[1,2,94],[1,3,99],[1,4,66],[2,3,40],[2,4,13],[2,6,82],[2,7,14],[3,5,53],[3,6,56],[3,7,77],[4,5,60],[4,6,53],[4,7,96],[5,7,73],[6,7,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,53],[0,3,28],[0,5,99],[0,6,43],[0,7,78],[1,2,94],[1,3,99],[1,4,66],[2,3,40],[2,4,13],[2,6,82],[2,7,14],[3,5,53],[3,6,56],[3,7,77],[4,5,60],[4,6,53],[4,7,96],[5,7,73],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,53],[0,3,28],[0,5,99],[0,6,43],[0,7,78],[1,2,94],[1,3,99],[1,4,66],[2,3,40],[2,4,13],[2,6,82],[2,7,14],[3,5,53],[3,6,56],[3,7,77],[4,5,60],[4,6,53],[4,7,96],[5,7,73],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (2,7)\",\"Add (6,7)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (3,5)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,53],[0,3,28],[0,5,99],[0,6,43],[0,7,78],[1,2,94],[1,3,99],[1,4,66],[2,3,40],[2,4,13],[2,6,82],[2,7,14],[3,5,53],[3,6,56],[3,7,77],[4,5,60],[4,6,53],[4,7,96],[5,7,73],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (2,4)=13, w=21\",\"Add (2,7)=14, w=35\",\"Add (6,7)=15, w=50\",\"Add (0,3)=28, w=78\",\"Add (2,3)=40, w=118\",\"Add (3,5)=53, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,53],[0,3,28],[0,5,99],[0,6,43],[0,7,78],[1,2,94],[1,3,99],[1,4,66],[2,3,40],[2,4,13],[2,6,82],[2,7,14],[3,5,53],[3,6,56],[3,7,77],[4,5,60],[4,6,53],[4,7,96],[5,7,73],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (2,4)=13 Succeeded, w=21\",\"Add (2,7)=14 Succeeded, w=35\",\"Add (6,7)=15 Succeeded, w=50\",\"Add (0,3)=28 Succeeded, w=78\",\"Add (2,3)=40 Succeeded, w=118\",\"Add (0,6)=43 Failed, w=118\",\"Add (0,2)=53 Failed, w=118\",\"Add (3,5)=53 Succeeded, w=171\",\"Add (4,6)=53 Failed, w=171\",\"Add (3,6)=56 Failed, w=171\",\"Add (4,5)=60 Failed, w=171\",\"Add (1,4)=66 Failed, w=171\",\"Add (5,7)=73 Failed, w=171\",\"Add (3,7)=77 Failed, w=171\",\"Add (0,7)=78 Failed, w=171\",\"Add (2,6)=82 Failed, w=171\",\"Add (1,2)=94 Failed, w=171\",\"Add (4,7)=96 Failed, w=171\",\"Add (0,5)=99 Failed, w=171\",\"Add (1,3)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,53],[0,3,28],[0,5,99],[0,6,43],[0,7,78],[1,2,94],[1,3,99],[1,4,66],[2,3,40],[2,4,13],[2,6,82],[2,7,14],[3,5,53],[3,6,56],[3,7,77],[4,5,60],[4,6,53],[4,7,96],[5,7,73],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(2,4)=13,(2,7)=14,(6,7)=15,(0,3)=28,(2,3)=40,(0,6)=43,(0,2)=53,(3,5)=53,(4,6)=53,(3,6)=56,(4,5)=60,(1,4)=66,(5,7)=73,(3,7)=77,(0,7)=78,(2,6)=82,(1,2)=94,(4,7)=96,(0,5)=99,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=21\",\"Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=35\",\"Find(6)=6, Find(7)=2, Add (6,7)=15 Succeeded, w=50\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=78\",\"Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=118\",\"Find(0)=2, Find(6)=2, Add (0,6)=43 Failed, w=118\",\"Find(0)=2, Find(2)=2, Add (0,2)=53 Failed, w=118\",\"Find(3)=2, Find(5)=5, Add (3,5)=53 Succeeded, w=171\",\"Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=171\",\"Find(3)=2, Find(6)=2, Add (3,6)=56 Failed, w=171\",\"Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=171\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=171\",\"Find(5)=2, Find(7)=2, Add (5,7)=73 Failed, w=171\",\"Find(3)=2, Find(7)=2, Add (3,7)=77 Failed, w=171\",\"Find(0)=2, Find(7)=2, Add (0,7)=78 Failed, w=171\",\"Find(2)=2, Find(6)=2, Add (2,6)=82 Failed, w=171\",\"Find(1)=2, Find(2)=2, Add (1,2)=94 Failed, w=171\",\"Find(4)=2, Find(7)=2, Add (4,7)=96 Failed, w=171\",\"Find(0)=2, Find(5)=2, Add (0,5)=99 Failed, w=171\",\"Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,53],[0,3,28],[0,5,99],[0,6,43],[0,7,78],[1,2,94],[1,3,99],[1,4,66],[2,3,40],[2,4,13],[2,6,82],[2,7,14],[3,5,53],[3,6,56],[3,7,77],[4,5,60],[4,6,53],[4,7,96],[5,7,73],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(2,4)=13,(2,7)=14,(6,7)=15,(0,3)=28,(2,3)=40,(0,6)=43,(0,2)=53,(3,5)=53,(4,6)=53,(3,6)=56,(4,5)=60,(1,4)=66,(5,7)=73,(3,7)=77,(0,7)=78,(2,6)=82,(1,2)=94,(4,7)=96,(0,5)=99,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=15 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=78\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 2}, Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=118\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=43 Failed, w=118\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=53 Failed, w=118\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=5, Add (3,5)=53 Succeeded, w=171\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=171\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=56 Failed, w=171\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=171\",\"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)=66 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=73 Failed, w=171\",\"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)=77 Failed, w=171\",\"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)=78 Failed, w=171\",\"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)=82 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=94 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=96 Failed, w=171\",\"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)=99 Failed, w=171\",\"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)=99 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,100],[0,2,58],[0,3,15],[1,2,18],[1,3,5],[2,3,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,15],[1,2,18],[1,3,5],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,15],[1,2,18],[1,3,5],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,15],[1,2,18],[1,3,5],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (0,3)=15, w=20\",\"Add (1,2)=18, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,15],[1,2,18],[1,3,5],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (0,3)=15 Succeeded, w=20\",\"Add (1,2)=18 Succeeded, w=38\",\"Add (0,2)=58 Failed, w=38\",\"Add (2,3)=68 Failed, w=38\",\"Add (0,1)=100 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,15],[1,2,18],[1,3,5],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,3)=15,(1,2)=18,(0,2)=58,(2,3)=68,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=38\",\"Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=38\",\"Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=38\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,58],[0,3,15],[1,2,18],[1,3,5],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,3)=15,(1,2)=18,(0,2)=58,(2,3)=68,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,2,89],[0,3,11],[0,4,1],[1,2,86],[1,3,56],[1,4,45],[2,3,91],[2,4,57],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[0,3,11],[0,4,1],[1,2,86],[1,3,56],[1,4,45],[2,3,91],[2,4,57],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[0,3,11],[0,4,1],[1,2,86],[1,3,56],[1,4,45],[2,3,91],[2,4,57],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[0,3,11],[0,4,1],[1,2,86],[1,3,56],[1,4,45],[2,3,91],[2,4,57],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (0,1)=2, w=3\",\"Add (0,3)=11, w=14\",\"Add (2,4)=57, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[0,3,11],[0,4,1],[1,2,86],[1,3,56],[1,4,45],[2,3,91],[2,4,57],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (0,1)=2 Succeeded, w=3\",\"Add (0,3)=11 Succeeded, w=14\",\"Add (1,4)=45 Failed, w=14\",\"Add (3,4)=54 Failed, w=14\",\"Add (1,3)=56 Failed, w=14\",\"Add (2,4)=57 Succeeded, w=71\",\"Add (1,2)=86 Failed, w=71\",\"Add (0,2)=89 Failed, w=71\",\"Add (2,3)=91 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[0,3,11],[0,4,1],[1,2,86],[1,3,56],[1,4,45],[2,3,91],[2,4,57],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,1)=2,(0,3)=11,(1,4)=45,(3,4)=54,(1,3)=56,(2,4)=57,(1,2)=86,(0,2)=89,(2,3)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=14\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=14\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=14\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=14\",\"Find(2)=2, Find(4)=0, Add (2,4)=57 Succeeded, w=71\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=71\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=71\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[0,3,11],[0,4,1],[1,2,86],[1,3,56],[1,4,45],[2,3,91],[2,4,57],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,1)=2,(0,3)=11,(1,4)=45,(3,4)=54,(1,3)=56,(2,4)=57,(1,2)=86,(0,2)=89,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=57 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[0,2,93],[0,3,100],[1,2,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,93],[0,3,100],[1,2,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,93],[0,3,100],[1,2,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,93],[0,3,100],[1,2,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=41, w=41\",\"Add (1,2)=44, w=85\",\"Add (0,3)=100, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,93],[0,3,100],[1,2,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=41 Succeeded, w=41\",\"Add (1,2)=44 Succeeded, w=85\",\"Add (0,2)=93 Failed, w=85\",\"Add (0,3)=100 Succeeded, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,93],[0,3,100],[1,2,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=41,(1,2)=44,(0,2)=93,(0,3)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=41\",\"Find(1)=0, Find(2)=2, Add (1,2)=44 Succeeded, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=85\",\"Find(0)=0, Find(3)=3, Add (0,3)=100 Succeeded, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,93],[0,3,100],[1,2,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=41,(1,2)=44,(0,2)=93,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=44 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=100 Succeeded, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,33],[0,2,17],[0,3,92],[0,4,95],[0,5,34],[0,6,58],[1,2,90],[1,3,62],[1,4,88],[1,5,27],[1,6,79],[2,3,70],[2,4,64],[2,5,8],[2,6,96],[3,4,78],[3,5,51],[3,6,99],[4,5,99],[4,6,28],[5,6,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,17],[0,3,92],[0,4,95],[0,5,34],[0,6,58],[1,2,90],[1,3,62],[1,4,88],[1,5,27],[1,6,79],[2,3,70],[2,4,64],[2,5,8],[2,6,96],[3,4,78],[3,5,51],[3,6,99],[4,5,99],[4,6,28],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,17],[0,3,92],[0,4,95],[0,5,34],[0,6,58],[1,2,90],[1,3,62],[1,4,88],[1,5,27],[1,6,79],[2,3,70],[2,4,64],[2,5,8],[2,6,96],[3,4,78],[3,5,51],[3,6,99],[4,5,99],[4,6,28],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (0,6)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,17],[0,3,92],[0,4,95],[0,5,34],[0,6,58],[1,2,90],[1,3,62],[1,4,88],[1,5,27],[1,6,79],[2,3,70],[2,4,64],[2,5,8],[2,6,96],[3,4,78],[3,5,51],[3,6,99],[4,5,99],[4,6,28],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (0,2)=17, w=25\",\"Add (1,5)=27, w=52\",\"Add (4,6)=28, w=80\",\"Add (3,5)=51, w=131\",\"Add (0,6)=58, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,17],[0,3,92],[0,4,95],[0,5,34],[0,6,58],[1,2,90],[1,3,62],[1,4,88],[1,5,27],[1,6,79],[2,3,70],[2,4,64],[2,5,8],[2,6,96],[3,4,78],[3,5,51],[3,6,99],[4,5,99],[4,6,28],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (0,2)=17 Succeeded, w=25\",\"Add (1,5)=27 Succeeded, w=52\",\"Add (4,6)=28 Succeeded, w=80\",\"Add (0,1)=33 Failed, w=80\",\"Add (0,5)=34 Failed, w=80\",\"Add (3,5)=51 Succeeded, w=131\",\"Add (0,6)=58 Succeeded, w=189\",\"Add (1,3)=62 Failed, w=189\",\"Add (2,4)=64 Failed, w=189\",\"Add (2,3)=70 Failed, w=189\",\"Add (3,4)=78 Failed, w=189\",\"Add (1,6)=79 Failed, w=189\",\"Add (1,4)=88 Failed, w=189\",\"Add (1,2)=90 Failed, w=189\",\"Add (0,3)=92 Failed, w=189\",\"Add (5,6)=92 Failed, w=189\",\"Add (0,4)=95 Failed, w=189\",\"Add (2,6)=96 Failed, w=189\",\"Add (3,6)=99 Failed, w=189\",\"Add (4,5)=99 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,17],[0,3,92],[0,4,95],[0,5,34],[0,6,58],[1,2,90],[1,3,62],[1,4,88],[1,5,27],[1,6,79],[2,3,70],[2,4,64],[2,5,8],[2,6,96],[3,4,78],[3,5,51],[3,6,99],[4,5,99],[4,6,28],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(0,2)=17,(1,5)=27,(4,6)=28,(0,1)=33,(0,5)=34,(3,5)=51,(0,6)=58,(1,3)=62,(2,4)=64,(2,3)=70,(3,4)=78,(1,6)=79,(1,4)=88,(1,2)=90,(0,3)=92,(5,6)=92,(0,4)=95,(2,6)=96,(3,6)=99,(4,5)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=25\",\"Find(1)=1, Find(5)=2, Add (1,5)=27 Succeeded, w=52\",\"Find(4)=4, Find(6)=6, Add (4,6)=28 Succeeded, w=80\",\"Find(0)=2, Find(1)=2, Add (0,1)=33 Failed, w=80\",\"Find(0)=2, Find(5)=2, Add (0,5)=34 Failed, w=80\",\"Find(3)=3, Find(5)=2, Add (3,5)=51 Succeeded, w=131\",\"Find(0)=2, Find(6)=4, Add (0,6)=58 Succeeded, w=189\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=189\",\"Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=189\",\"Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=189\",\"Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=189\",\"Find(1)=2, Find(6)=2, Add (1,6)=79 Failed, w=189\",\"Find(1)=2, Find(4)=2, Add (1,4)=88 Failed, w=189\",\"Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=189\",\"Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=189\",\"Find(5)=2, Find(6)=2, Add (5,6)=92 Failed, w=189\",\"Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=189\",\"Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=189\",\"Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=189\",\"Find(4)=2, Find(5)=2, Add (4,5)=99 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,33],[0,2,17],[0,3,92],[0,4,95],[0,5,34],[0,6,58],[1,2,90],[1,3,62],[1,4,88],[1,5,27],[1,6,79],[2,3,70],[2,4,64],[2,5,8],[2,6,96],[3,4,78],[3,5,51],[3,6,99],[4,5,99],[4,6,28],[5,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(0,2)=17,(1,5)=27,(4,6)=28,(0,1)=33,(0,5)=34,(3,5)=51,(0,6)=58,(1,3)=62,(2,4)=64,(2,3)=70,(3,4)=78,(1,6)=79,(1,4)=88,(1,2)=90,(0,3)=92,(5,6)=92,(0,4)=95,(2,6)=96,(3,6)=99,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=27 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=28 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(0)=2, Find(1)=2, Add (0,1)=33 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(0)=2, Find(5)=2, Add (0,5)=34 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(3)=3, Find(5)=2, Add (3,5)=51 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(0)=2, Find(6)=4, Add (0,6)=58 Succeeded, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=79 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=88 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=92 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=189\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=99 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,69],[0,2,32],[0,3,62],[0,4,45],[0,5,31],[0,6,9],[1,2,94],[1,3,47],[1,4,24],[1,5,96],[1,6,62],[2,3,29],[3,4,87],[3,5,69],[3,6,80],[4,5,44],[4,6,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,32],[0,3,62],[0,4,45],[0,5,31],[0,6,9],[1,2,94],[1,3,47],[1,4,24],[1,5,96],[1,6,62],[2,3,29],[3,4,87],[3,5,69],[3,6,80],[4,5,44],[4,6,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,32],[0,3,62],[0,4,45],[0,5,31],[0,6,9],[1,2,94],[1,3,47],[1,4,24],[1,5,96],[1,6,62],[2,3,29],[3,4,87],[3,5,69],[3,6,80],[4,5,44],[4,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (4,6)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,32],[0,3,62],[0,4,45],[0,5,31],[0,6,9],[1,2,94],[1,3,47],[1,4,24],[1,5,96],[1,6,62],[2,3,29],[3,4,87],[3,5,69],[3,6,80],[4,5,44],[4,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9, w=9\",\"Add (1,4)=24, w=33\",\"Add (2,3)=29, w=62\",\"Add (0,5)=31, w=93\",\"Add (0,2)=32, w=125\",\"Add (4,6)=33, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,32],[0,3,62],[0,4,45],[0,5,31],[0,6,9],[1,2,94],[1,3,47],[1,4,24],[1,5,96],[1,6,62],[2,3,29],[3,4,87],[3,5,69],[3,6,80],[4,5,44],[4,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9 Succeeded, w=9\",\"Add (1,4)=24 Succeeded, w=33\",\"Add (2,3)=29 Succeeded, w=62\",\"Add (0,5)=31 Succeeded, w=93\",\"Add (0,2)=32 Succeeded, w=125\",\"Add (4,6)=33 Succeeded, w=158\",\"Add (4,5)=44 Failed, w=158\",\"Add (0,4)=45 Failed, w=158\",\"Add (1,3)=47 Failed, w=158\",\"Add (0,3)=62 Failed, w=158\",\"Add (1,6)=62 Failed, w=158\",\"Add (0,1)=69 Failed, w=158\",\"Add (3,5)=69 Failed, w=158\",\"Add (3,6)=80 Failed, w=158\",\"Add (3,4)=87 Failed, w=158\",\"Add (1,2)=94 Failed, w=158\",\"Add (1,5)=96 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,32],[0,3,62],[0,4,45],[0,5,31],[0,6,9],[1,2,94],[1,3,47],[1,4,24],[1,5,96],[1,6,62],[2,3,29],[3,4,87],[3,5,69],[3,6,80],[4,5,44],[4,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(1,4)=24,(2,3)=29,(0,5)=31,(0,2)=32,(4,6)=33,(4,5)=44,(0,4)=45,(1,3)=47,(0,3)=62,(1,6)=62,(0,1)=69,(3,5)=69,(3,6)=80,(3,4)=87,(1,2)=94,(1,5)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=33\",\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=62\",\"Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=93\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=125\",\"Find(4)=1, Find(6)=0, Add (4,6)=33 Succeeded, w=158\",\"Find(4)=0, Find(5)=0, Add (4,5)=44 Failed, w=158\",\"Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=158\",\"Find(1)=0, Find(3)=0, Add (1,3)=47 Failed, w=158\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=158\",\"Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=158\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=158\",\"Find(3)=0, Find(5)=0, Add (3,5)=69 Failed, w=158\",\"Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=158\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=158\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=158\",\"Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,32],[0,3,62],[0,4,45],[0,5,31],[0,6,9],[1,2,94],[1,3,47],[1,4,24],[1,5,96],[1,6,62],[2,3,29],[3,4,87],[3,5,69],[3,6,80],[4,5,44],[4,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(1,4)=24,(2,3)=29,(0,5)=31,(0,2)=32,(4,6)=33,(4,5)=44,(0,4)=45,(1,3)=47,(0,3)=62,(1,6)=62,(0,1)=69,(3,5)=69,(3,6)=80,(3,4)=87,(1,2)=94,(1,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=93\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 1, 5: 0, 6: 0}, Find(4)=1, Find(6)=0, Add (4,6)=33 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=44 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=47 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=158\",\"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=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=69 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=158\",\"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=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,93],[0,2,45],[0,3,65],[1,2,22],[1,3,42],[2,3,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,45],[0,3,65],[1,2,22],[1,3,42],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,45],[0,3,65],[1,2,22],[1,3,42],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,45],[0,3,65],[1,2,22],[1,3,42],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (2,3)=23, w=45\",\"Add (0,2)=45, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,45],[0,3,65],[1,2,22],[1,3,42],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (2,3)=23 Succeeded, w=45\",\"Add (1,3)=42 Failed, w=45\",\"Add (0,2)=45 Succeeded, w=90\",\"Add (0,3)=65 Failed, w=90\",\"Add (0,1)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,45],[0,3,65],[1,2,22],[1,3,42],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(2,3)=23,(1,3)=42,(0,2)=45,(0,3)=65,(0,1)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(2)=1, Find(3)=3, Add (2,3)=23 Succeeded, w=45\",\"Find(1)=1, Find(3)=1, Add (1,3)=42 Failed, w=45\",\"Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=90\",\"Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=90\",\"Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,45],[0,3,65],[1,2,22],[1,3,42],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(2,3)=23,(1,3)=42,(0,2)=45,(0,3)=65,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=23 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=42 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,3,23],[0,4,0],[1,2,1],[1,3,86],[2,3,18],[2,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,23],[0,4,0],[1,2,1],[1,3,86],[2,3,18],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,23],[0,4,0],[1,2,1],[1,3,86],[2,3,18],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,23],[0,4,0],[1,2,1],[1,3,86],[2,3,18],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (1,2)=1, w=1\",\"Add (0,1)=6, w=7\",\"Add (2,3)=18, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,23],[0,4,0],[1,2,1],[1,3,86],[2,3,18],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,1)=6 Succeeded, w=7\",\"Add (2,3)=18 Succeeded, w=25\",\"Add (0,3)=23 Failed, w=25\",\"Add (2,4)=52 Failed, w=25\",\"Add (1,3)=86 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,23],[0,4,0],[1,2,1],[1,3,86],[2,3,18],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(1,2)=1,(0,1)=6,(2,3)=18,(0,3)=23,(2,4)=52,(1,3)=86]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=25\",\"Find(0)=0, Find(3)=0, Add (0,3)=23 Failed, w=25\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=25\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,23],[0,4,0],[1,2,1],[1,3,86],[2,3,18],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(1,2)=1,(0,1)=6,(2,3)=18,(0,3)=23,(2,4)=52,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=23 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,74],[0,3,61],[0,4,75],[0,5,54],[0,6,98],[1,3,1],[1,4,94],[1,6,1],[2,3,98],[2,4,76],[3,4,49],[3,5,84],[3,6,23],[4,6,27],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,3,61],[0,4,75],[0,5,54],[0,6,98],[1,3,1],[1,4,94],[1,6,1],[2,3,98],[2,4,76],[3,4,49],[3,5,84],[3,6,23],[4,6,27],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,3,61],[0,4,75],[0,5,54],[0,6,98],[1,3,1],[1,4,94],[1,6,1],[2,3,98],[2,4,76],[3,4,49],[3,5,84],[3,6,23],[4,6,27],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,6)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (2,4)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,3,61],[0,4,75],[0,5,54],[0,6,98],[1,3,1],[1,4,94],[1,6,1],[2,3,98],[2,4,76],[3,4,49],[3,5,84],[3,6,23],[4,6,27],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,6)=1, w=2\",\"Add (4,6)=27, w=29\",\"Add (5,6)=41, w=70\",\"Add (0,5)=54, w=124\",\"Add (2,4)=76, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,3,61],[0,4,75],[0,5,54],[0,6,98],[1,3,1],[1,4,94],[1,6,1],[2,3,98],[2,4,76],[3,4,49],[3,5,84],[3,6,23],[4,6,27],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,6)=1 Succeeded, w=2\",\"Add (3,6)=23 Failed, w=2\",\"Add (4,6)=27 Succeeded, w=29\",\"Add (5,6)=41 Succeeded, w=70\",\"Add (3,4)=49 Failed, w=70\",\"Add (0,5)=54 Succeeded, w=124\",\"Add (0,3)=61 Failed, w=124\",\"Add (0,1)=74 Failed, w=124\",\"Add (0,4)=75 Failed, w=124\",\"Add (2,4)=76 Succeeded, w=200\",\"Add (3,5)=84 Failed, w=200\",\"Add (1,4)=94 Failed, w=200\",\"Add (0,6)=98 Failed, w=200\",\"Add (2,3)=98 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,3,61],[0,4,75],[0,5,54],[0,6,98],[1,3,1],[1,4,94],[1,6,1],[2,3,98],[2,4,76],[3,4,49],[3,5,84],[3,6,23],[4,6,27],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,6)=1,(3,6)=23,(4,6)=27,(5,6)=41,(3,4)=49,(0,5)=54,(0,3)=61,(0,1)=74,(0,4)=75,(2,4)=76,(3,5)=84,(1,4)=94,(0,6)=98,(2,3)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=2\",\"Find(3)=1, Find(6)=1, Add (3,6)=23 Failed, w=2\",\"Find(4)=4, Find(6)=1, Add (4,6)=27 Succeeded, w=29\",\"Find(5)=5, Find(6)=1, Add (5,6)=41 Succeeded, w=70\",\"Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=70\",\"Find(0)=0, Find(5)=1, Add (0,5)=54 Succeeded, w=124\",\"Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=124\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=124\",\"Find(0)=1, Find(4)=1, Add (0,4)=75 Failed, w=124\",\"Find(2)=2, Find(4)=1, Add (2,4)=76 Succeeded, w=200\",\"Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=200\",\"Find(1)=1, Find(4)=1, Add (1,4)=94 Failed, w=200\",\"Find(0)=1, Find(6)=1, Add (0,6)=98 Failed, w=200\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,3,61],[0,4,75],[0,5,54],[0,6,98],[1,3,1],[1,4,94],[1,6,1],[2,3,98],[2,4,76],[3,4,49],[3,5,84],[3,6,23],[4,6,27],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,6)=1,(3,6)=23,(4,6)=27,(5,6)=41,(3,4)=49,(0,5)=54,(0,3)=61,(0,1)=74,(0,4)=75,(2,4)=76,(3,5)=84,(1,4)=94,(0,6)=98,(2,3)=98]\",\"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: 1}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=23 Failed, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=27 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=41 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(5)=1, Add (0,5)=54 Succeeded, w=124\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=75 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=76 Succeeded, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=94 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=98 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,50],[0,4,57],[1,2,42],[1,3,1],[1,5,14],[2,5,58],[2,6,70],[3,5,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,57],[1,2,42],[1,3,1],[1,5,14],[2,5,58],[2,6,70],[3,5,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,57],[1,2,42],[1,3,1],[1,5,14],[2,5,58],[2,6,70],[3,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (2,6)\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,57],[1,2,42],[1,3,1],[1,5,14],[2,5,58],[2,6,70],[3,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,5)=14, w=15\",\"Add (1,2)=42, w=57\",\"Add (0,3)=50, w=107\",\"Add (0,4)=57, w=164\",\"Add (2,6)=70, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,57],[1,2,42],[1,3,1],[1,5,14],[2,5,58],[2,6,70],[3,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,5)=14 Succeeded, w=15\",\"Add (1,2)=42 Succeeded, w=57\",\"Add (0,3)=50 Succeeded, w=107\",\"Add (0,4)=57 Succeeded, w=164\",\"Add (2,5)=58 Failed, w=164\",\"Add (3,5)=60 Failed, w=164\",\"Add (2,6)=70 Succeeded, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,57],[1,2,42],[1,3,1],[1,5,14],[2,5,58],[2,6,70],[3,5,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,5)=14,(1,2)=42,(0,3)=50,(0,4)=57,(2,5)=58,(3,5)=60,(2,6)=70]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=57\",\"Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=107\",\"Find(0)=1, Find(4)=4, Add (0,4)=57 Succeeded, w=164\",\"Find(2)=1, Find(5)=1, Add (2,5)=58 Failed, w=164\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=164\",\"Find(2)=1, Find(6)=6, Add (2,6)=70 Succeeded, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,57],[1,2,42],[1,3,1],[1,5,14],[2,5,58],[2,6,70],[3,5,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,5)=14,(1,2)=42,(0,3)=50,(0,4)=57,(2,5)=58,(3,5)=60,(2,6)=70]\",\"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: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(4)=4, Add (0,4)=57 Succeeded, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=58 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=70 Succeeded, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,32],[0,2,62],[0,3,88],[0,5,0],[0,6,66],[0,7,92],[1,2,73],[1,3,60],[1,4,83],[1,5,95],[1,6,5],[1,7,94],[2,3,56],[2,4,65],[2,5,56],[2,6,68],[2,7,0],[3,4,49],[3,5,7],[3,6,5],[3,7,67],[4,5,0],[4,7,91],[5,6,64],[5,7,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,62],[0,3,88],[0,5,0],[0,6,66],[0,7,92],[1,2,73],[1,3,60],[1,4,83],[1,5,95],[1,6,5],[1,7,94],[2,3,56],[2,4,65],[2,5,56],[2,6,68],[2,7,0],[3,4,49],[3,5,7],[3,6,5],[3,7,67],[4,5,0],[4,7,91],[5,6,64],[5,7,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,62],[0,3,88],[0,5,0],[0,6,66],[0,7,92],[1,2,73],[1,3,60],[1,4,83],[1,5,95],[1,6,5],[1,7,94],[2,3,56],[2,4,65],[2,5,56],[2,6,68],[2,7,0],[3,4,49],[3,5,7],[3,6,5],[3,7,67],[4,5,0],[4,7,91],[5,6,64],[5,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,7)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (2,3)\"],\"Answer\":73}",
"role": "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],[0,2,62],[0,3,88],[0,5,0],[0,6,66],[0,7,92],[1,2,73],[1,3,60],[1,4,83],[1,5,95],[1,6,5],[1,7,94],[2,3,56],[2,4,65],[2,5,56],[2,6,68],[2,7,0],[3,4,49],[3,5,7],[3,6,5],[3,7,67],[4,5,0],[4,7,91],[5,6,64],[5,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (2,7)=0, w=0\",\"Add (4,5)=0, w=0\",\"Add (1,6)=5, w=5\",\"Add (3,6)=5, w=10\",\"Add (3,5)=7, w=17\",\"Add (2,3)=56, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,62],[0,3,88],[0,5,0],[0,6,66],[0,7,92],[1,2,73],[1,3,60],[1,4,83],[1,5,95],[1,6,5],[1,7,94],[2,3,56],[2,4,65],[2,5,56],[2,6,68],[2,7,0],[3,4,49],[3,5,7],[3,6,5],[3,7,67],[4,5,0],[4,7,91],[5,6,64],[5,7,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (2,7)=0 Succeeded, w=0\",\"Add (4,5)=0 Succeeded, w=0\",\"Add (1,6)=5 Succeeded, w=5\",\"Add (3,6)=5 Succeeded, w=10\",\"Add (3,5)=7 Succeeded, w=17\",\"Add (0,1)=32 Failed, w=17\",\"Add (3,4)=49 Failed, w=17\",\"Add (2,3)=56 Succeeded, w=73\",\"Add (2,5)=56 Failed, w=73\",\"Add (1,3)=60 Failed, w=73\",\"Add (0,2)=62 Failed, w=73\",\"Add (5,6)=64 Failed, w=73\",\"Add (2,4)=65 Failed, w=73\",\"Add (0,6)=66 Failed, w=73\",\"Add (3,7)=67 Failed, w=73\",\"Add (2,6)=68 Failed, w=73\",\"Add (5,7)=69 Failed, w=73\",\"Add (1,2)=73 Failed, w=73\",\"Add (1,4)=83 Failed, w=73\",\"Add (0,3)=88 Failed, w=73\",\"Add (4,7)=91 Failed, w=73\",\"Add (0,7)=92 Failed, w=73\",\"Add (1,7)=94 Failed, w=73\",\"Add (1,5)=95 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,62],[0,3,88],[0,5,0],[0,6,66],[0,7,92],[1,2,73],[1,3,60],[1,4,83],[1,5,95],[1,6,5],[1,7,94],[2,3,56],[2,4,65],[2,5,56],[2,6,68],[2,7,0],[3,4,49],[3,5,7],[3,6,5],[3,7,67],[4,5,0],[4,7,91],[5,6,64],[5,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,7)=0,(4,5)=0,(1,6)=5,(3,6)=5,(3,5)=7,(0,1)=32,(3,4)=49,(2,3)=56,(2,5)=56,(1,3)=60,(0,2)=62,(5,6)=64,(2,4)=65,(0,6)=66,(3,7)=67,(2,6)=68,(5,7)=69,(1,2)=73,(1,4)=83,(0,3)=88,(4,7)=91,(0,7)=92,(1,7)=94,(1,5)=95]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=0, Add (4,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=5\",\"Find(3)=3, Find(6)=1, Add (3,6)=5 Succeeded, w=10\",\"Find(3)=1, Find(5)=0, Add (3,5)=7 Succeeded, w=17\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=17\",\"Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=17\",\"Find(2)=2, Find(3)=1, Add (2,3)=56 Succeeded, w=73\",\"Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=73\",\"Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=73\",\"Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=73\",\"Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=73\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=73\",\"Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=73\",\"Find(3)=1, Find(7)=1, Add (3,7)=67 Failed, w=73\",\"Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=73\",\"Find(5)=1, Find(7)=1, Add (5,7)=69 Failed, w=73\",\"Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=73\",\"Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=73\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=73\",\"Find(4)=1, Find(7)=1, Add (4,7)=91 Failed, w=73\",\"Find(0)=1, Find(7)=1, Add (0,7)=92 Failed, w=73\",\"Find(1)=1, Find(7)=1, Add (1,7)=94 Failed, w=73\",\"Find(1)=1, Find(5)=1, Add (1,5)=95 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,62],[0,3,88],[0,5,0],[0,6,66],[0,7,92],[1,2,73],[1,3,60],[1,4,83],[1,5,95],[1,6,5],[1,7,94],[2,3,56],[2,4,65],[2,5,56],[2,6,68],[2,7,0],[3,4,49],[3,5,7],[3,6,5],[3,7,67],[4,5,0],[4,7,91],[5,6,64],[5,7,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,7)=0,(4,5)=0,(1,6)=5,(3,6)=5,(3,5)=7,(0,1)=32,(3,4)=49,(2,3)=56,(2,5)=56,(1,3)=60,(0,2)=62,(5,6)=64,(2,4)=65,(0,6)=66,(3,7)=67,(2,6)=68,(5,7)=69,(1,2)=73,(1,4)=83,(0,3)=88,(4,7)=91,(0,7)=92,(1,7)=94,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 2}, Find(4)=4, Find(5)=0, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 1, 7: 2}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 1, 7: 2}, Find(3)=3, Find(6)=1, Add (3,6)=5 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 1, 7: 2}, Find(3)=1, Find(5)=0, Add (3,5)=7 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 1, 7: 2}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 1, 7: 2}, Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 2}, Find(2)=2, Find(3)=1, Add (2,3)=56 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(2)=1, Add (0,2)=62 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=73\",\"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)=67 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=68 Failed, w=73\",\"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)=69 Failed, w=73\",\"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)=73 Failed, w=73\",\"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)=83 Failed, w=73\",\"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)=88 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=91 Failed, w=73\",\"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)=92 Failed, w=73\",\"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)=94 Failed, w=73\",\"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)=95 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,2,37],[0,3,3],[1,2,76],[1,3,65],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,37],[0,3,3],[1,2,76],[1,3,65],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,37],[0,3,3],[1,2,76],[1,3,65],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,37],[0,3,3],[1,2,76],[1,3,65],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,2)=37, w=40\",\"Add (1,3)=65, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,37],[0,3,3],[1,2,76],[1,3,65],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,2)=37 Succeeded, w=40\",\"Add (2,3)=45 Failed, w=40\",\"Add (1,3)=65 Succeeded, w=105\",\"Add (0,1)=70 Failed, w=105\",\"Add (1,2)=76 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,37],[0,3,3],[1,2,76],[1,3,65],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,2)=37,(2,3)=45,(1,3)=65,(0,1)=70,(1,2)=76]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=40\",\"Find(2)=0, Find(3)=0, Add (2,3)=45 Failed, w=40\",\"Find(1)=1, Find(3)=0, Add (1,3)=65 Succeeded, w=105\",\"Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,37],[0,3,3],[1,2,76],[1,3,65],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,2)=37,(2,3)=45,(1,3)=65,(0,1)=70,(1,2)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=45 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=65 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,27],[0,2,91],[0,3,80],[0,4,5],[0,5,8],[0,6,47],[0,7,53],[1,2,17],[1,4,49],[1,5,42],[1,6,52],[1,7,18],[2,3,98],[2,4,56],[2,5,66],[2,7,31],[3,4,3],[3,5,25],[3,6,56],[3,7,22],[4,5,20],[4,6,22],[4,7,79],[5,6,79],[5,7,7],[6,7,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,91],[0,3,80],[0,4,5],[0,5,8],[0,6,47],[0,7,53],[1,2,17],[1,4,49],[1,5,42],[1,6,52],[1,7,18],[2,3,98],[2,4,56],[2,5,66],[2,7,31],[3,4,3],[3,5,25],[3,6,56],[3,7,22],[4,5,20],[4,6,22],[4,7,79],[5,6,79],[5,7,7],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,91],[0,3,80],[0,4,5],[0,5,8],[0,6,47],[0,7,53],[1,2,17],[1,4,49],[1,5,42],[1,6,52],[1,7,18],[2,3,98],[2,4,56],[2,5,66],[2,7,31],[3,4,3],[3,5,25],[3,6,56],[3,7,22],[4,5,20],[4,6,22],[4,7,79],[5,6,79],[5,7,7],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (5,7)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (1,7)\",\"Add (4,6)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,91],[0,3,80],[0,4,5],[0,5,8],[0,6,47],[0,7,53],[1,2,17],[1,4,49],[1,5,42],[1,6,52],[1,7,18],[2,3,98],[2,4,56],[2,5,66],[2,7,31],[3,4,3],[3,5,25],[3,6,56],[3,7,22],[4,5,20],[4,6,22],[4,7,79],[5,6,79],[5,7,7],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (0,4)=5, w=8\",\"Add (5,7)=7, w=15\",\"Add (0,5)=8, w=23\",\"Add (1,2)=17, w=40\",\"Add (1,7)=18, w=58\",\"Add (4,6)=22, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,91],[0,3,80],[0,4,5],[0,5,8],[0,6,47],[0,7,53],[1,2,17],[1,4,49],[1,5,42],[1,6,52],[1,7,18],[2,3,98],[2,4,56],[2,5,66],[2,7,31],[3,4,3],[3,5,25],[3,6,56],[3,7,22],[4,5,20],[4,6,22],[4,7,79],[5,6,79],[5,7,7],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (0,4)=5 Succeeded, w=8\",\"Add (5,7)=7 Succeeded, w=15\",\"Add (0,5)=8 Succeeded, w=23\",\"Add (1,2)=17 Succeeded, w=40\",\"Add (1,7)=18 Succeeded, w=58\",\"Add (4,5)=20 Failed, w=58\",\"Add (3,7)=22 Failed, w=58\",\"Add (4,6)=22 Succeeded, w=80\",\"Add (3,5)=25 Failed, w=80\",\"Add (0,1)=27 Failed, w=80\",\"Add (2,7)=31 Failed, w=80\",\"Add (1,5)=42 Failed, w=80\",\"Add (0,6)=47 Failed, w=80\",\"Add (1,4)=49 Failed, w=80\",\"Add (1,6)=52 Failed, w=80\",\"Add (0,7)=53 Failed, w=80\",\"Add (6,7)=55 Failed, w=80\",\"Add (2,4)=56 Failed, w=80\",\"Add (3,6)=56 Failed, w=80\",\"Add (2,5)=66 Failed, w=80\",\"Add (4,7)=79 Failed, w=80\",\"Add (5,6)=79 Failed, w=80\",\"Add (0,3)=80 Failed, w=80\",\"Add (0,2)=91 Failed, w=80\",\"Add (2,3)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,91],[0,3,80],[0,4,5],[0,5,8],[0,6,47],[0,7,53],[1,2,17],[1,4,49],[1,5,42],[1,6,52],[1,7,18],[2,3,98],[2,4,56],[2,5,66],[2,7,31],[3,4,3],[3,5,25],[3,6,56],[3,7,22],[4,5,20],[4,6,22],[4,7,79],[5,6,79],[5,7,7],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,4)=5,(5,7)=7,(0,5)=8,(1,2)=17,(1,7)=18,(4,5)=20,(3,7)=22,(4,6)=22,(3,5)=25,(0,1)=27,(2,7)=31,(1,5)=42,(0,6)=47,(1,4)=49,(1,6)=52,(0,7)=53,(6,7)=55,(2,4)=56,(3,6)=56,(2,5)=66,(4,7)=79,(5,6)=79,(0,3)=80,(0,2)=91,(2,3)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=3, Add (0,4)=5 Succeeded, w=8\",\"Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=15\",\"Find(0)=3, Find(5)=5, Add (0,5)=8 Succeeded, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=40\",\"Find(1)=1, Find(7)=3, Add (1,7)=18 Succeeded, w=58\",\"Find(4)=3, Find(5)=3, Add (4,5)=20 Failed, w=58\",\"Find(3)=3, Find(7)=3, Add (3,7)=22 Failed, w=58\",\"Find(4)=3, Find(6)=6, Add (4,6)=22 Succeeded, w=80\",\"Find(3)=3, Find(5)=3, Add (3,5)=25 Failed, w=80\",\"Find(0)=3, Find(1)=3, Add (0,1)=27 Failed, w=80\",\"Find(2)=3, Find(7)=3, Add (2,7)=31 Failed, w=80\",\"Find(1)=3, Find(5)=3, Add (1,5)=42 Failed, w=80\",\"Find(0)=3, Find(6)=3, Add (0,6)=47 Failed, w=80\",\"Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=80\",\"Find(1)=3, Find(6)=3, Add (1,6)=52 Failed, w=80\",\"Find(0)=3, Find(7)=3, Add (0,7)=53 Failed, w=80\",\"Find(6)=3, Find(7)=3, Add (6,7)=55 Failed, w=80\",\"Find(2)=3, Find(4)=3, Add (2,4)=56 Failed, w=80\",\"Find(3)=3, Find(6)=3, Add (3,6)=56 Failed, w=80\",\"Find(2)=3, Find(5)=3, Add (2,5)=66 Failed, w=80\",\"Find(4)=3, Find(7)=3, Add (4,7)=79 Failed, w=80\",\"Find(5)=3, Find(6)=3, Add (5,6)=79 Failed, w=80\",\"Find(0)=3, Find(3)=3, Add (0,3)=80 Failed, w=80\",\"Find(0)=3, Find(2)=3, Add (0,2)=91 Failed, w=80\",\"Find(2)=3, Find(3)=3, Add (2,3)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,91],[0,3,80],[0,4,5],[0,5,8],[0,6,47],[0,7,53],[1,2,17],[1,4,49],[1,5,42],[1,6,52],[1,7,18],[2,3,98],[2,4,56],[2,5,66],[2,7,31],[3,4,3],[3,5,25],[3,6,56],[3,7,22],[4,5,20],[4,6,22],[4,7,79],[5,6,79],[5,7,7],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,4)=5,(5,7)=7,(0,5)=8,(1,2)=17,(1,7)=18,(4,5)=20,(3,7)=22,(4,6)=22,(3,5)=25,(0,1)=27,(2,7)=31,(1,5)=42,(0,6)=47,(1,4)=49,(1,6)=52,(0,7)=53,(6,7)=55,(2,4)=56,(3,6)=56,(2,5)=66,(4,7)=79,(5,6)=79,(0,3)=80,(0,2)=91,(2,3)=98]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=3, Add (0,4)=5 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=15\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 5}, Find(0)=3, Find(5)=5, Add (0,5)=8 Succeeded, w=23\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 6, 7: 5}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=40\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=18 Succeeded, w=58\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=20 Failed, w=58\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=22 Failed, w=58\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=6, Add (4,6)=22 Succeeded, w=80\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=25 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=27 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=31 Failed, w=80\",\"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)=42 Failed, w=80\",\"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)=47 Failed, w=80\",\"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)=49 Failed, w=80\",\"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)=52 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=53 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=55 Failed, w=80\",\"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)=56 Failed, w=80\",\"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)=56 Failed, w=80\",\"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)=66 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=79 Failed, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=79 Failed, w=80\",\"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)=80 Failed, w=80\",\"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)=91 Failed, w=80\",\"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)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,56],[0,4,63],[1,2,30],[1,4,20],[2,3,100],[2,4,77],[3,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,4,63],[1,2,30],[1,4,20],[2,3,100],[2,4,77],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,4,63],[1,2,30],[1,4,20],[2,3,100],[2,4,77],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,4,63],[1,2,30],[1,4,20],[2,3,100],[2,4,77],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20, w=20\",\"Add (1,2)=30, w=50\",\"Add (3,4)=48, w=98\",\"Add (0,1)=56, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,4,63],[1,2,30],[1,4,20],[2,3,100],[2,4,77],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20 Succeeded, w=20\",\"Add (1,2)=30 Succeeded, w=50\",\"Add (3,4)=48 Succeeded, w=98\",\"Add (0,1)=56 Succeeded, w=154\",\"Add (0,4)=63 Failed, w=154\",\"Add (2,4)=77 Failed, w=154\",\"Add (2,3)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,4,63],[1,2,30],[1,4,20],[2,3,100],[2,4,77],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(1,2)=30,(3,4)=48,(0,1)=56,(0,4)=63,(2,4)=77,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=50\",\"Find(3)=3, Find(4)=1, Add (3,4)=48 Succeeded, w=98\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=154\",\"Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=154\",\"Find(2)=1, Find(4)=1, Add (2,4)=77 Failed, w=154\",\"Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,4,63],[1,2,30],[1,4,20],[2,3,100],[2,4,77],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(1,2)=30,(3,4)=48,(0,1)=56,(0,4)=63,(2,4)=77,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=48 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=77 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,95],[0,3,99],[1,3,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,95],[0,3,99],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,95],[0,3,99],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,95],[0,3,99],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=36, w=36\",\"Add (1,3)=67, w=103\",\"Add (0,2)=95, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,95],[0,3,99],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=36 Succeeded, w=36\",\"Add (1,3)=67 Succeeded, w=103\",\"Add (0,2)=95 Succeeded, w=198\",\"Add (0,3)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,95],[0,3,99],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=36,(1,3)=67,(0,2)=95,(0,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=36\",\"Find(1)=0, Find(3)=3, Add (1,3)=67 Succeeded, w=103\",\"Find(0)=0, Find(2)=2, Add (0,2)=95 Succeeded, w=198\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,95],[0,3,99],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=36,(1,3)=67,(0,2)=95,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=67 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=95 Succeeded, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,58],[0,3,74],[0,4,37],[1,2,5],[2,4,9],[3,4,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,58],[0,3,74],[0,4,37],[1,2,5],[2,4,9],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,58],[0,3,74],[0,4,37],[1,2,5],[2,4,9],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,58],[0,3,74],[0,4,37],[1,2,5],[2,4,9],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (2,4)=9, w=14\",\"Add (3,4)=13, w=27\",\"Add (0,1)=33, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,58],[0,3,74],[0,4,37],[1,2,5],[2,4,9],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (2,4)=9 Succeeded, w=14\",\"Add (3,4)=13 Succeeded, w=27\",\"Add (0,1)=33 Succeeded, w=60\",\"Add (0,4)=37 Failed, w=60\",\"Add (0,2)=58 Failed, w=60\",\"Add (0,3)=74 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,58],[0,3,74],[0,4,37],[1,2,5],[2,4,9],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,4)=9,(3,4)=13,(0,1)=33,(0,4)=37,(0,2)=58,(0,3)=74]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(2)=1, Find(4)=4, Add (2,4)=9 Succeeded, w=14\",\"Find(3)=3, Find(4)=1, Add (3,4)=13 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=60\",\"Find(0)=1, Find(4)=1, Add (0,4)=37 Failed, w=60\",\"Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=60\",\"Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,58],[0,3,74],[0,4,37],[1,2,5],[2,4,9],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,4)=9,(3,4)=13,(0,1)=33,(0,4)=37,(0,2)=58,(0,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=13 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=37 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,78],[0,4,3],[0,5,41],[1,2,96],[1,3,27],[1,4,90],[1,5,89],[2,3,45],[2,4,63],[2,5,19],[3,4,78],[4,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,4,3],[0,5,41],[1,2,96],[1,3,27],[1,4,90],[1,5,89],[2,3,45],[2,4,63],[2,5,19],[3,4,78],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,4,3],[0,5,41],[1,2,96],[1,3,27],[1,4,90],[1,5,89],[2,3,45],[2,4,63],[2,5,19],[3,4,78],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,4,3],[0,5,41],[1,2,96],[1,3,27],[1,4,90],[1,5,89],[2,3,45],[2,4,63],[2,5,19],[3,4,78],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (2,5)=19, w=22\",\"Add (1,3)=27, w=49\",\"Add (0,5)=41, w=90\",\"Add (2,3)=45, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,4,3],[0,5,41],[1,2,96],[1,3,27],[1,4,90],[1,5,89],[2,3,45],[2,4,63],[2,5,19],[3,4,78],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (2,5)=19 Succeeded, w=22\",\"Add (1,3)=27 Succeeded, w=49\",\"Add (0,5)=41 Succeeded, w=90\",\"Add (2,3)=45 Succeeded, w=135\",\"Add (2,4)=63 Failed, w=135\",\"Add (0,2)=78 Failed, w=135\",\"Add (3,4)=78 Failed, w=135\",\"Add (1,5)=89 Failed, w=135\",\"Add (1,4)=90 Failed, w=135\",\"Add (1,2)=96 Failed, w=135\",\"Add (4,5)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,4,3],[0,5,41],[1,2,96],[1,3,27],[1,4,90],[1,5,89],[2,3,45],[2,4,63],[2,5,19],[3,4,78],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(2,5)=19,(1,3)=27,(0,5)=41,(2,3)=45,(2,4)=63,(0,2)=78,(3,4)=78,(1,5)=89,(1,4)=90,(1,2)=96,(4,5)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=49\",\"Find(0)=0, Find(5)=2, Add (0,5)=41 Succeeded, w=90\",\"Find(2)=0, Find(3)=1, Add (2,3)=45 Succeeded, w=135\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=135\",\"Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=135\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=135\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,4,3],[0,5,41],[1,2,96],[1,3,27],[1,4,90],[1,5,89],[2,3,45],[2,4,63],[2,5,19],[3,4,78],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(2,5)=19,(1,3)=27,(0,5)=41,(2,3)=45,(2,4)=63,(0,2)=78,(3,4)=78,(1,5)=89,(1,4)=90,(1,2)=96,(4,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=41 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2}, Find(2)=0, Find(3)=1, Add (2,3)=45 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2}, Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 2}, Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,10],[0,4,17],[0,5,36],[1,3,6],[1,4,91],[1,5,73],[2,3,0],[2,5,29],[3,5,74],[4,5,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,4,17],[0,5,36],[1,3,6],[1,4,91],[1,5,73],[2,3,0],[2,5,29],[3,5,74],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,4,17],[0,5,36],[1,3,6],[1,4,91],[1,5,73],[2,3,0],[2,5,29],[3,5,74],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,4,17],[0,5,36],[1,3,6],[1,4,91],[1,5,73],[2,3,0],[2,5,29],[3,5,74],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,3)=6, w=6\",\"Add (0,2)=10, w=16\",\"Add (0,4)=17, w=33\",\"Add (2,5)=29, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,4,17],[0,5,36],[1,3,6],[1,4,91],[1,5,73],[2,3,0],[2,5,29],[3,5,74],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,3)=6 Succeeded, w=6\",\"Add (0,2)=10 Succeeded, w=16\",\"Add (0,4)=17 Succeeded, w=33\",\"Add (2,5)=29 Succeeded, w=62\",\"Add (0,5)=36 Failed, w=62\",\"Add (4,5)=39 Failed, w=62\",\"Add (1,5)=73 Failed, w=62\",\"Add (3,5)=74 Failed, w=62\",\"Add (1,4)=91 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,4,17],[0,5,36],[1,3,6],[1,4,91],[1,5,73],[2,3,0],[2,5,29],[3,5,74],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=6,(0,2)=10,(0,4)=17,(2,5)=29,(0,5)=36,(4,5)=39,(1,5)=73,(3,5)=74,(1,4)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=2, Add (1,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=16\",\"Find(0)=2, Find(4)=4, Add (0,4)=17 Succeeded, w=33\",\"Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=62\",\"Find(0)=2, Find(5)=2, Add (0,5)=36 Failed, w=62\",\"Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=62\",\"Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=62\",\"Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=62\",\"Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,4,17],[0,5,36],[1,3,6],[1,4,91],[1,5,73],[2,3,0],[2,5,29],[3,5,74],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=6,(0,2)=10,(0,4)=17,(2,5)=29,(0,5)=36,(4,5)=39,(1,5)=73,(3,5)=74,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5}, Find(1)=1, Find(3)=2, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=2, Find(4)=4, Add (0,4)=17 Succeeded, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=36 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,22],[0,3,96],[0,4,28],[1,2,17],[1,3,29],[1,5,2],[1,6,63],[2,3,84],[2,4,49],[2,5,38],[3,4,96],[3,5,62],[3,6,26],[4,6,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,22],[0,3,96],[0,4,28],[1,2,17],[1,3,29],[1,5,2],[1,6,63],[2,3,84],[2,4,49],[2,5,38],[3,4,96],[3,5,62],[3,6,26],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,22],[0,3,96],[0,4,28],[1,2,17],[1,3,29],[1,5,2],[1,6,63],[2,3,84],[2,4,49],[2,5,38],[3,4,96],[3,5,62],[3,6,26],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,22],[0,3,96],[0,4,28],[1,2,17],[1,3,29],[1,5,2],[1,6,63],[2,3,84],[2,4,49],[2,5,38],[3,4,96],[3,5,62],[3,6,26],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2, w=2\",\"Add (1,2)=17, w=19\",\"Add (0,2)=22, w=41\",\"Add (3,6)=26, w=67\",\"Add (0,4)=28, w=95\",\"Add (1,3)=29, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,22],[0,3,96],[0,4,28],[1,2,17],[1,3,29],[1,5,2],[1,6,63],[2,3,84],[2,4,49],[2,5,38],[3,4,96],[3,5,62],[3,6,26],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2 Succeeded, w=2\",\"Add (1,2)=17 Succeeded, w=19\",\"Add (0,2)=22 Succeeded, w=41\",\"Add (3,6)=26 Succeeded, w=67\",\"Add (0,4)=28 Succeeded, w=95\",\"Add (1,3)=29 Succeeded, w=124\",\"Add (2,5)=38 Failed, w=124\",\"Add (2,4)=49 Failed, w=124\",\"Add (0,1)=61 Failed, w=124\",\"Add (3,5)=62 Failed, w=124\",\"Add (1,6)=63 Failed, w=124\",\"Add (4,6)=81 Failed, w=124\",\"Add (2,3)=84 Failed, w=124\",\"Add (0,3)=96 Failed, w=124\",\"Add (3,4)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,22],[0,3,96],[0,4,28],[1,2,17],[1,3,29],[1,5,2],[1,6,63],[2,3,84],[2,4,49],[2,5,38],[3,4,96],[3,5,62],[3,6,26],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(1,2)=17,(0,2)=22,(3,6)=26,(0,4)=28,(1,3)=29,(2,5)=38,(2,4)=49,(0,1)=61,(3,5)=62,(1,6)=63,(4,6)=81,(2,3)=84,(0,3)=96,(3,4)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=19\",\"Find(0)=0, Find(2)=1, Add (0,2)=22 Succeeded, w=41\",\"Find(3)=3, Find(6)=6, Add (3,6)=26 Succeeded, w=67\",\"Find(0)=1, Find(4)=4, Add (0,4)=28 Succeeded, w=95\",\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=124\",\"Find(2)=1, Find(5)=1, Add (2,5)=38 Failed, w=124\",\"Find(2)=1, Find(4)=1, Add (2,4)=49 Failed, w=124\",\"Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=124\",\"Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=124\",\"Find(1)=1, Find(6)=1, Add (1,6)=63 Failed, w=124\",\"Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=124\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=124\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=124\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,22],[0,3,96],[0,4,28],[1,2,17],[1,3,29],[1,5,2],[1,6,63],[2,3,84],[2,4,49],[2,5,38],[3,4,96],[3,5,62],[3,6,26],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(1,2)=17,(0,2)=22,(3,6)=26,(0,4)=28,(1,3)=29,(2,5)=38,(2,4)=49,(0,1)=61,(3,5)=62,(1,6)=63,(4,6)=81,(2,3)=84,(0,3)=96,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(2)=1, Add (0,2)=22 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=26 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(4)=4, Add (0,4)=28 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(5)=1, Add (2,5)=38 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=1, Find(4)=1, Add (2,4)=49 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=63 Failed, w=124\",\"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=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,2,41],[0,3,46],[0,5,56],[0,6,28],[1,2,62],[1,3,92],[1,4,77],[1,5,88],[1,6,51],[2,3,79],[2,4,19],[2,5,37],[2,6,5],[3,4,91],[3,6,99],[4,5,58],[4,6,1],[5,6,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,41],[0,3,46],[0,5,56],[0,6,28],[1,2,62],[1,3,92],[1,4,77],[1,5,88],[1,6,51],[2,3,79],[2,4,19],[2,5,37],[2,6,5],[3,4,91],[3,6,99],[4,5,58],[4,6,1],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,41],[0,3,46],[0,5,56],[0,6,28],[1,2,62],[1,3,92],[1,4,77],[1,5,88],[1,6,51],[2,3,79],[2,4,19],[2,5,37],[2,6,5],[3,4,91],[3,6,99],[4,5,58],[4,6,1],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,6)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (0,3)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,41],[0,3,46],[0,5,56],[0,6,28],[1,2,62],[1,3,92],[1,4,77],[1,5,88],[1,6,51],[2,3,79],[2,4,19],[2,5,37],[2,6,5],[3,4,91],[3,6,99],[4,5,58],[4,6,1],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1, w=1\",\"Add (2,6)=5, w=6\",\"Add (5,6)=9, w=15\",\"Add (0,1)=14, w=29\",\"Add (0,6)=28, w=57\",\"Add (0,3)=46, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,41],[0,3,46],[0,5,56],[0,6,28],[1,2,62],[1,3,92],[1,4,77],[1,5,88],[1,6,51],[2,3,79],[2,4,19],[2,5,37],[2,6,5],[3,4,91],[3,6,99],[4,5,58],[4,6,1],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1 Succeeded, w=1\",\"Add (2,6)=5 Succeeded, w=6\",\"Add (5,6)=9 Succeeded, w=15\",\"Add (0,1)=14 Succeeded, w=29\",\"Add (2,4)=19 Failed, w=29\",\"Add (0,6)=28 Succeeded, w=57\",\"Add (2,5)=37 Failed, w=57\",\"Add (0,2)=41 Failed, w=57\",\"Add (0,3)=46 Succeeded, w=103\",\"Add (1,6)=51 Failed, w=103\",\"Add (0,5)=56 Failed, w=103\",\"Add (4,5)=58 Failed, w=103\",\"Add (1,2)=62 Failed, w=103\",\"Add (1,4)=77 Failed, w=103\",\"Add (2,3)=79 Failed, w=103\",\"Add (1,5)=88 Failed, w=103\",\"Add (3,4)=91 Failed, w=103\",\"Add (1,3)=92 Failed, w=103\",\"Add (3,6)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,41],[0,3,46],[0,5,56],[0,6,28],[1,2,62],[1,3,92],[1,4,77],[1,5,88],[1,6,51],[2,3,79],[2,4,19],[2,5,37],[2,6,5],[3,4,91],[3,6,99],[4,5,58],[4,6,1],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(2,6)=5,(5,6)=9,(0,1)=14,(2,4)=19,(0,6)=28,(2,5)=37,(0,2)=41,(0,3)=46,(1,6)=51,(0,5)=56,(4,5)=58,(1,2)=62,(1,4)=77,(2,3)=79,(1,5)=88,(3,4)=91,(1,3)=92,(3,6)=99]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(6)=4, Add (2,6)=5 Succeeded, w=6\",\"Find(5)=5, Find(6)=4, Add (5,6)=9 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=29\",\"Find(2)=4, Find(4)=4, Add (2,4)=19 Failed, w=29\",\"Find(0)=0, Find(6)=4, Add (0,6)=28 Succeeded, w=57\",\"Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=57\",\"Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=57\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=103\",\"Find(1)=0, Find(6)=0, Add (1,6)=51 Failed, w=103\",\"Find(0)=0, Find(5)=0, Add (0,5)=56 Failed, w=103\",\"Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=103\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=103\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=103\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=103\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=103\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=103\",\"Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,41],[0,3,46],[0,5,56],[0,6,28],[1,2,62],[1,3,92],[1,4,77],[1,5,88],[1,6,51],[2,3,79],[2,4,19],[2,5,37],[2,6,5],[3,4,91],[3,6,99],[4,5,58],[4,6,1],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(2,6)=5,(5,6)=9,(0,1)=14,(2,4)=19,(0,6)=28,(2,5)=37,(0,2)=41,(0,3)=46,(1,6)=51,(0,5)=56,(4,5)=58,(1,2)=62,(1,4)=77,(2,3)=79,(1,5)=88,(3,4)=91,(1,3)=92,(3,6)=99]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4}, Find(2)=2, Find(6)=4, Add (2,6)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=5, Find(6)=4, Add (5,6)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=19 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 0, 5: 4, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=28 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=51 Failed, w=103\",\"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=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,70],[0,3,3],[0,4,68],[0,5,54],[0,6,67],[0,7,4],[1,2,42],[1,5,29],[1,6,77],[1,7,39],[2,3,84],[2,6,41],[2,7,83],[3,4,65],[3,5,79],[3,6,17],[3,7,86],[4,5,61],[4,7,36],[5,6,45],[6,7,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,70],[0,3,3],[0,4,68],[0,5,54],[0,6,67],[0,7,4],[1,2,42],[1,5,29],[1,6,77],[1,7,39],[2,3,84],[2,6,41],[2,7,83],[3,4,65],[3,5,79],[3,6,17],[3,7,86],[4,5,61],[4,7,36],[5,6,45],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,70],[0,3,3],[0,4,68],[0,5,54],[0,6,67],[0,7,4],[1,2,42],[1,5,29],[1,6,77],[1,7,39],[2,3,84],[2,6,41],[2,7,83],[3,4,65],[3,5,79],[3,6,17],[3,7,86],[4,5,61],[4,7,36],[5,6,45],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,7)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (4,7)\",\"Add (1,7)\",\"Add (2,6)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,70],[0,3,3],[0,4,68],[0,5,54],[0,6,67],[0,7,4],[1,2,42],[1,5,29],[1,6,77],[1,7,39],[2,3,84],[2,6,41],[2,7,83],[3,4,65],[3,5,79],[3,6,17],[3,7,86],[4,5,61],[4,7,36],[5,6,45],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,7)=4, w=7\",\"Add (3,6)=17, w=24\",\"Add (1,5)=29, w=53\",\"Add (4,7)=36, w=89\",\"Add (1,7)=39, w=128\",\"Add (2,6)=41, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,70],[0,3,3],[0,4,68],[0,5,54],[0,6,67],[0,7,4],[1,2,42],[1,5,29],[1,6,77],[1,7,39],[2,3,84],[2,6,41],[2,7,83],[3,4,65],[3,5,79],[3,6,17],[3,7,86],[4,5,61],[4,7,36],[5,6,45],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,7)=4 Succeeded, w=7\",\"Add (3,6)=17 Succeeded, w=24\",\"Add (6,7)=24 Failed, w=24\",\"Add (1,5)=29 Succeeded, w=53\",\"Add (4,7)=36 Succeeded, w=89\",\"Add (1,7)=39 Succeeded, w=128\",\"Add (2,6)=41 Succeeded, w=169\",\"Add (1,2)=42 Failed, w=169\",\"Add (5,6)=45 Failed, w=169\",\"Add (0,5)=54 Failed, w=169\",\"Add (4,5)=61 Failed, w=169\",\"Add (3,4)=65 Failed, w=169\",\"Add (0,6)=67 Failed, w=169\",\"Add (0,4)=68 Failed, w=169\",\"Add (0,2)=70 Failed, w=169\",\"Add (1,6)=77 Failed, w=169\",\"Add (3,5)=79 Failed, w=169\",\"Add (2,7)=83 Failed, w=169\",\"Add (2,3)=84 Failed, w=169\",\"Add (3,7)=86 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,70],[0,3,3],[0,4,68],[0,5,54],[0,6,67],[0,7,4],[1,2,42],[1,5,29],[1,6,77],[1,7,39],[2,3,84],[2,6,41],[2,7,83],[3,4,65],[3,5,79],[3,6,17],[3,7,86],[4,5,61],[4,7,36],[5,6,45],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,7)=4,(3,6)=17,(6,7)=24,(1,5)=29,(4,7)=36,(1,7)=39,(2,6)=41,(1,2)=42,(5,6)=45,(0,5)=54,(4,5)=61,(3,4)=65,(0,6)=67,(0,4)=68,(0,2)=70,(1,6)=77,(3,5)=79,(2,7)=83,(2,3)=84,(3,7)=86]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=7\",\"Find(3)=0, Find(6)=6, Add (3,6)=17 Succeeded, w=24\",\"Find(6)=0, Find(7)=0, Add (6,7)=24 Failed, w=24\",\"Find(1)=1, Find(5)=5, Add (1,5)=29 Succeeded, w=53\",\"Find(4)=4, Find(7)=0, Add (4,7)=36 Succeeded, w=89\",\"Find(1)=1, Find(7)=0, Add (1,7)=39 Succeeded, w=128\",\"Find(2)=2, Find(6)=1, Add (2,6)=41 Succeeded, w=169\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=169\",\"Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=169\",\"Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=169\",\"Find(4)=1, Find(5)=1, Add (4,5)=61 Failed, w=169\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=169\",\"Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=169\",\"Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=169\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=169\",\"Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=169\",\"Find(3)=1, Find(5)=1, Add (3,5)=79 Failed, w=169\",\"Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=169\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=169\",\"Find(3)=1, Find(7)=1, Add (3,7)=86 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,70],[0,3,3],[0,4,68],[0,5,54],[0,6,67],[0,7,4],[1,2,42],[1,5,29],[1,6,77],[1,7,39],[2,3,84],[2,6,41],[2,7,83],[3,4,65],[3,5,79],[3,6,17],[3,7,86],[4,5,61],[4,7,36],[5,6,45],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,7)=4,(3,6)=17,(6,7)=24,(1,5)=29,(4,7)=36,(1,7)=39,(2,6)=41,(1,2)=42,(5,6)=45,(0,5)=54,(4,5)=61,(3,4)=65,(0,6)=67,(0,4)=68,(0,2)=70,(1,6)=77,(3,5)=79,(2,7)=83,(2,3)=84,(3,7)=86]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(6)=6, Add (3,6)=17 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=24 Failed, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 0, 7: 0}, Find(1)=1, Find(5)=5, Add (1,5)=29 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=36 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=39 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(2)=2, Find(6)=1, Add (2,6)=41 Succeeded, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 0}, Find(4)=1, Find(5)=1, Add (4,5)=61 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(5)=1, Add (3,5)=79 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=169\",\"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)=86 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,35],[0,2,65],[0,3,18],[0,4,64],[0,5,38],[1,2,8],[1,4,87],[1,6,92],[2,4,44],[2,5,51],[3,4,2],[3,5,43],[3,6,15],[5,6,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,65],[0,3,18],[0,4,64],[0,5,38],[1,2,8],[1,4,87],[1,6,92],[2,4,44],[2,5,51],[3,4,2],[3,5,43],[3,6,15],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,65],[0,3,18],[0,4,64],[0,5,38],[1,2,8],[1,4,87],[1,6,92],[2,4,44],[2,5,51],[3,4,2],[3,5,43],[3,6,15],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (0,5)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,65],[0,3,18],[0,4,64],[0,5,38],[1,2,8],[1,4,87],[1,6,92],[2,4,44],[2,5,51],[3,4,2],[3,5,43],[3,6,15],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (1,2)=8, w=10\",\"Add (3,6)=15, w=25\",\"Add (0,3)=18, w=43\",\"Add (0,1)=35, w=78\",\"Add (0,5)=38, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,65],[0,3,18],[0,4,64],[0,5,38],[1,2,8],[1,4,87],[1,6,92],[2,4,44],[2,5,51],[3,4,2],[3,5,43],[3,6,15],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (1,2)=8 Succeeded, w=10\",\"Add (3,6)=15 Succeeded, w=25\",\"Add (0,3)=18 Succeeded, w=43\",\"Add (0,1)=35 Succeeded, w=78\",\"Add (0,5)=38 Succeeded, w=116\",\"Add (3,5)=43 Failed, w=116\",\"Add (2,4)=44 Failed, w=116\",\"Add (2,5)=51 Failed, w=116\",\"Add (0,4)=64 Failed, w=116\",\"Add (0,2)=65 Failed, w=116\",\"Add (5,6)=72 Failed, w=116\",\"Add (1,4)=87 Failed, w=116\",\"Add (1,6)=92 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,65],[0,3,18],[0,4,64],[0,5,38],[1,2,8],[1,4,87],[1,6,92],[2,4,44],[2,5,51],[3,4,2],[3,5,43],[3,6,15],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(1,2)=8,(3,6)=15,(0,3)=18,(0,1)=35,(0,5)=38,(3,5)=43,(2,4)=44,(2,5)=51,(0,4)=64,(0,2)=65,(5,6)=72,(1,4)=87,(1,6)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=10\",\"Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=25\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=43\",\"Find(0)=3, Find(1)=1, Add (0,1)=35 Succeeded, w=78\",\"Find(0)=3, Find(5)=5, Add (0,5)=38 Succeeded, w=116\",\"Find(3)=3, Find(5)=3, Add (3,5)=43 Failed, w=116\",\"Find(2)=3, Find(4)=3, Add (2,4)=44 Failed, w=116\",\"Find(2)=3, Find(5)=3, Add (2,5)=51 Failed, w=116\",\"Find(0)=3, Find(4)=3, Add (0,4)=64 Failed, w=116\",\"Find(0)=3, Find(2)=3, Add (0,2)=65 Failed, w=116\",\"Find(5)=3, Find(6)=3, Add (5,6)=72 Failed, w=116\",\"Find(1)=3, Find(4)=3, Add (1,4)=87 Failed, w=116\",\"Find(1)=3, Find(6)=3, Add (1,6)=92 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,65],[0,3,18],[0,4,64],[0,5,38],[1,2,8],[1,4,87],[1,6,92],[2,4,44],[2,5,51],[3,4,2],[3,5,43],[3,6,15],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(1,2)=8,(3,6)=15,(0,3)=18,(0,1)=35,(0,5)=38,(3,5)=43,(2,4)=44,(2,5)=51,(0,4)=64,(0,2)=65,(5,6)=72,(1,4)=87,(1,6)=92]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=25\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=43\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(1)=1, Add (0,1)=35 Succeeded, w=78\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=5, Add (0,5)=38 Succeeded, w=116\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=43 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=44 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=51 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=64 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=65 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=72 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=87 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=92 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,8],[0,2,18],[0,3,25],[0,4,29],[0,5,58],[0,6,24],[0,7,99],[1,2,55],[1,3,23],[1,4,86],[1,5,41],[1,6,34],[1,7,1],[2,3,58],[2,4,66],[2,5,99],[2,6,65],[2,7,24],[3,4,29],[3,5,77],[3,6,12],[3,7,63],[4,5,65],[4,6,35],[4,7,89],[5,6,6],[5,7,88],[6,7,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,18],[0,3,25],[0,4,29],[0,5,58],[0,6,24],[0,7,99],[1,2,55],[1,3,23],[1,4,86],[1,5,41],[1,6,34],[1,7,1],[2,3,58],[2,4,66],[2,5,99],[2,6,65],[2,7,24],[3,4,29],[3,5,77],[3,6,12],[3,7,63],[4,5,65],[4,6,35],[4,7,89],[5,6,6],[5,7,88],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,18],[0,3,25],[0,4,29],[0,5,58],[0,6,24],[0,7,99],[1,2,55],[1,3,23],[1,4,86],[1,5,41],[1,6,34],[1,7,1],[2,3,58],[2,4,66],[2,5,99],[2,6,65],[2,7,24],[3,4,29],[3,5,77],[3,6,12],[3,7,63],[4,5,65],[4,6,35],[4,7,89],[5,6,6],[5,7,88],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,18],[0,3,25],[0,4,29],[0,5,58],[0,6,24],[0,7,99],[1,2,55],[1,3,23],[1,4,86],[1,5,41],[1,6,34],[1,7,1],[2,3,58],[2,4,66],[2,5,99],[2,6,65],[2,7,24],[3,4,29],[3,5,77],[3,6,12],[3,7,63],[4,5,65],[4,6,35],[4,7,89],[5,6,6],[5,7,88],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=1, w=1\",\"Add (5,6)=6, w=7\",\"Add (0,1)=8, w=15\",\"Add (3,6)=12, w=27\",\"Add (0,2)=18, w=45\",\"Add (1,3)=23, w=68\",\"Add (0,4)=29, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,18],[0,3,25],[0,4,29],[0,5,58],[0,6,24],[0,7,99],[1,2,55],[1,3,23],[1,4,86],[1,5,41],[1,6,34],[1,7,1],[2,3,58],[2,4,66],[2,5,99],[2,6,65],[2,7,24],[3,4,29],[3,5,77],[3,6,12],[3,7,63],[4,5,65],[4,6,35],[4,7,89],[5,6,6],[5,7,88],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=1 Succeeded, w=1\",\"Add (5,6)=6 Succeeded, w=7\",\"Add (0,1)=8 Succeeded, w=15\",\"Add (3,6)=12 Succeeded, w=27\",\"Add (0,2)=18 Succeeded, w=45\",\"Add (1,3)=23 Succeeded, w=68\",\"Add (0,6)=24 Failed, w=68\",\"Add (2,7)=24 Failed, w=68\",\"Add (0,3)=25 Failed, w=68\",\"Add (0,4)=29 Succeeded, w=97\",\"Add (3,4)=29 Failed, w=97\",\"Add (1,6)=34 Failed, w=97\",\"Add (4,6)=35 Failed, w=97\",\"Add (1,5)=41 Failed, w=97\",\"Add (6,7)=48 Failed, w=97\",\"Add (1,2)=55 Failed, w=97\",\"Add (0,5)=58 Failed, w=97\",\"Add (2,3)=58 Failed, w=97\",\"Add (3,7)=63 Failed, w=97\",\"Add (2,6)=65 Failed, w=97\",\"Add (4,5)=65 Failed, w=97\",\"Add (2,4)=66 Failed, w=97\",\"Add (3,5)=77 Failed, w=97\",\"Add (1,4)=86 Failed, w=97\",\"Add (5,7)=88 Failed, w=97\",\"Add (4,7)=89 Failed, w=97\",\"Add (0,7)=99 Failed, w=97\",\"Add (2,5)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,18],[0,3,25],[0,4,29],[0,5,58],[0,6,24],[0,7,99],[1,2,55],[1,3,23],[1,4,86],[1,5,41],[1,6,34],[1,7,1],[2,3,58],[2,4,66],[2,5,99],[2,6,65],[2,7,24],[3,4,29],[3,5,77],[3,6,12],[3,7,63],[4,5,65],[4,6,35],[4,7,89],[5,6,6],[5,7,88],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=1,(5,6)=6,(0,1)=8,(3,6)=12,(0,2)=18,(1,3)=23,(0,6)=24,(2,7)=24,(0,3)=25,(0,4)=29,(3,4)=29,(1,6)=34,(4,6)=35,(1,5)=41,(6,7)=48,(1,2)=55,(0,5)=58,(2,3)=58,(3,7)=63,(2,6)=65,(4,5)=65,(2,4)=66,(3,5)=77,(1,4)=86,(5,7)=88,(4,7)=89,(0,7)=99,(2,5)=99]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=15\",\"Find(3)=3, Find(6)=5, Add (3,6)=12 Succeeded, w=27\",\"Find(0)=1, Find(2)=2, Add (0,2)=18 Succeeded, w=45\",\"Find(1)=1, Find(3)=5, Add (1,3)=23 Succeeded, w=68\",\"Find(0)=1, Find(6)=1, Add (0,6)=24 Failed, w=68\",\"Find(2)=1, Find(7)=1, Add (2,7)=24 Failed, w=68\",\"Find(0)=1, Find(3)=1, Add (0,3)=25 Failed, w=68\",\"Find(0)=1, Find(4)=4, Add (0,4)=29 Succeeded, w=97\",\"Find(3)=1, Find(4)=1, Add (3,4)=29 Failed, w=97\",\"Find(1)=1, Find(6)=1, Add (1,6)=34 Failed, w=97\",\"Find(4)=1, Find(6)=1, Add (4,6)=35 Failed, w=97\",\"Find(1)=1, Find(5)=1, Add (1,5)=41 Failed, w=97\",\"Find(6)=1, Find(7)=1, Add (6,7)=48 Failed, w=97\",\"Find(1)=1, Find(2)=1, Add (1,2)=55 Failed, w=97\",\"Find(0)=1, Find(5)=1, Add (0,5)=58 Failed, w=97\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=97\",\"Find(3)=1, Find(7)=1, Add (3,7)=63 Failed, w=97\",\"Find(2)=1, Find(6)=1, Add (2,6)=65 Failed, w=97\",\"Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=97\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=97\",\"Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=97\",\"Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=97\",\"Find(5)=1, Find(7)=1, Add (5,7)=88 Failed, w=97\",\"Find(4)=1, Find(7)=1, Add (4,7)=89 Failed, w=97\",\"Find(0)=1, Find(7)=1, Add (0,7)=99 Failed, w=97\",\"Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,18],[0,3,25],[0,4,29],[0,5,58],[0,6,24],[0,7,99],[1,2,55],[1,3,23],[1,4,86],[1,5,41],[1,6,34],[1,7,1],[2,3,58],[2,4,66],[2,5,99],[2,6,65],[2,7,24],[3,4,29],[3,5,77],[3,6,12],[3,7,63],[4,5,65],[4,6,35],[4,7,89],[5,6,6],[5,7,88],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=1,(5,6)=6,(0,1)=8,(3,6)=12,(0,2)=18,(1,3)=23,(0,6)=24,(2,7)=24,(0,3)=25,(0,4)=29,(3,4)=29,(1,6)=34,(4,6)=35,(1,5)=41,(6,7)=48,(1,2)=55,(0,5)=58,(2,3)=58,(3,7)=63,(2,6)=65,(4,5)=65,(2,4)=66,(3,5)=77,(1,4)=86,(5,7)=88,(4,7)=89,(0,7)=99,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 1}, Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5, 7: 1}, Find(3)=3, Find(6)=5, Add (3,6)=12 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=18 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 4, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(3)=5, Add (1,3)=23 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=24 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=24 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=25 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=4, Add (0,4)=29 Succeeded, w=97\",\"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)=29 Failed, w=97\",\"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)=34 Failed, w=97\",\"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)=35 Failed, w=97\",\"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)=41 Failed, w=97\",\"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)=48 Failed, w=97\",\"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)=55 Failed, w=97\",\"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)=58 Failed, w=97\",\"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)=58 Failed, w=97\",\"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)=63 Failed, w=97\",\"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)=65 Failed, w=97\",\"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)=65 Failed, w=97\",\"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)=66 Failed, w=97\",\"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)=77 Failed, w=97\",\"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)=86 Failed, w=97\",\"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)=88 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=89 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=99 Failed, w=97\",\"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)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,87],[0,3,80],[0,4,10],[0,6,81],[1,2,36],[1,3,1],[1,5,3],[1,6,70],[1,7,50],[2,4,99],[2,5,70],[2,7,52],[3,5,36],[3,6,16],[3,7,84],[4,5,20],[6,7,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,80],[0,4,10],[0,6,81],[1,2,36],[1,3,1],[1,5,3],[1,6,70],[1,7,50],[2,4,99],[2,5,70],[2,7,52],[3,5,36],[3,6,16],[3,7,84],[4,5,20],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,80],[0,4,10],[0,6,81],[1,2,36],[1,3,1],[1,5,3],[1,6,70],[1,7,50],[2,4,99],[2,5,70],[2,7,52],[3,5,36],[3,6,16],[3,7,84],[4,5,20],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,80],[0,4,10],[0,6,81],[1,2,36],[1,3,1],[1,5,3],[1,6,70],[1,7,50],[2,4,99],[2,5,70],[2,7,52],[3,5,36],[3,6,16],[3,7,84],[4,5,20],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0, w=0\",\"Add (1,3)=1, w=1\",\"Add (1,5)=3, w=4\",\"Add (0,4)=10, w=14\",\"Add (3,6)=16, w=30\",\"Add (4,5)=20, w=50\",\"Add (1,2)=36, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,80],[0,4,10],[0,6,81],[1,2,36],[1,3,1],[1,5,3],[1,6,70],[1,7,50],[2,4,99],[2,5,70],[2,7,52],[3,5,36],[3,6,16],[3,7,84],[4,5,20],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0 Succeeded, w=0\",\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,5)=3 Succeeded, w=4\",\"Add (0,4)=10 Succeeded, w=14\",\"Add (3,6)=16 Succeeded, w=30\",\"Add (4,5)=20 Succeeded, w=50\",\"Add (1,2)=36 Succeeded, w=86\",\"Add (3,5)=36 Failed, w=86\",\"Add (1,7)=50 Failed, w=86\",\"Add (2,7)=52 Failed, w=86\",\"Add (1,6)=70 Failed, w=86\",\"Add (2,5)=70 Failed, w=86\",\"Add (0,3)=80 Failed, w=86\",\"Add (0,6)=81 Failed, w=86\",\"Add (3,7)=84 Failed, w=86\",\"Add (0,2)=87 Failed, w=86\",\"Add (2,4)=99 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,80],[0,4,10],[0,6,81],[1,2,36],[1,3,1],[1,5,3],[1,6,70],[1,7,50],[2,4,99],[2,5,70],[2,7,52],[3,5,36],[3,6,16],[3,7,84],[4,5,20],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(1,3)=1,(1,5)=3,(0,4)=10,(3,6)=16,(4,5)=20,(1,2)=36,(3,5)=36,(1,7)=50,(2,7)=52,(1,6)=70,(2,5)=70,(0,3)=80,(0,6)=81,(3,7)=84,(0,2)=87,(2,4)=99]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=14\",\"Find(3)=1, Find(6)=6, Add (3,6)=16 Succeeded, w=30\",\"Find(4)=0, Find(5)=1, Add (4,5)=20 Succeeded, w=50\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=86\",\"Find(3)=1, Find(5)=1, Add (3,5)=36 Failed, w=86\",\"Find(1)=1, Find(7)=1, Add (1,7)=50 Failed, w=86\",\"Find(2)=1, Find(7)=1, Add (2,7)=52 Failed, w=86\",\"Find(1)=1, Find(6)=1, Add (1,6)=70 Failed, w=86\",\"Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=86\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=86\",\"Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=86\",\"Find(3)=1, Find(7)=1, Add (3,7)=84 Failed, w=86\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=86\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,80],[0,4,10],[0,6,81],[1,2,36],[1,3,1],[1,5,3],[1,6,70],[1,7,50],[2,4,99],[2,5,70],[2,7,52],[3,5,36],[3,6,16],[3,7,84],[4,5,20],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(1,3)=1,(1,5)=3,(0,4)=10,(3,6)=16,(4,5)=20,(1,2)=36,(3,5)=36,(1,7)=50,(2,7)=52,(1,6)=70,(2,5)=70,(0,3)=80,(0,6)=81,(3,7)=84,(0,2)=87,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 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: 1, 6: 6, 7: 6}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1, 6: 6, 7: 6}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1, 6: 1, 7: 6}, Find(3)=1, Find(6)=6, Add (3,6)=16 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1, 6: 1, 7: 6}, Find(4)=0, Find(5)=1, Add (4,5)=20 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 6}, Find(3)=1, Find(5)=1, Add (3,5)=36 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=50 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=52 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=70 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=84 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=86\",\"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)=99 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,2,63],[0,3,69],[0,4,43],[0,5,4],[1,2,14],[1,3,13],[1,4,49],[1,5,28],[2,3,20],[2,4,94],[3,4,0],[3,5,12],[4,5,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,63],[0,3,69],[0,4,43],[0,5,4],[1,2,14],[1,3,13],[1,4,49],[1,5,28],[2,3,20],[2,4,94],[3,4,0],[3,5,12],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,63],[0,3,69],[0,4,43],[0,5,4],[1,2,14],[1,3,13],[1,4,49],[1,5,28],[2,3,20],[2,4,94],[3,4,0],[3,5,12],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,63],[0,3,69],[0,4,43],[0,5,4],[1,2,14],[1,3,13],[1,4,49],[1,5,28],[2,3,20],[2,4,94],[3,4,0],[3,5,12],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (0,5)=4, w=4\",\"Add (3,5)=12, w=16\",\"Add (1,3)=13, w=29\",\"Add (1,2)=14, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,63],[0,3,69],[0,4,43],[0,5,4],[1,2,14],[1,3,13],[1,4,49],[1,5,28],[2,3,20],[2,4,94],[3,4,0],[3,5,12],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (0,5)=4 Succeeded, w=4\",\"Add (3,5)=12 Succeeded, w=16\",\"Add (1,3)=13 Succeeded, w=29\",\"Add (1,2)=14 Succeeded, w=43\",\"Add (2,3)=20 Failed, w=43\",\"Add (1,5)=28 Failed, w=43\",\"Add (0,4)=43 Failed, w=43\",\"Add (1,4)=49 Failed, w=43\",\"Add (0,2)=63 Failed, w=43\",\"Add (0,3)=69 Failed, w=43\",\"Add (4,5)=85 Failed, w=43\",\"Add (0,1)=91 Failed, w=43\",\"Add (2,4)=94 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,63],[0,3,69],[0,4,43],[0,5,4],[1,2,14],[1,3,13],[1,4,49],[1,5,28],[2,3,20],[2,4,94],[3,4,0],[3,5,12],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,5)=4,(3,5)=12,(1,3)=13,(1,2)=14,(2,3)=20,(1,5)=28,(0,4)=43,(1,4)=49,(0,2)=63,(0,3)=69,(4,5)=85,(0,1)=91,(2,4)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=0, Add (3,5)=12 Succeeded, w=16\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=29\",\"Find(1)=3, Find(2)=2, Add (1,2)=14 Succeeded, w=43\",\"Find(2)=3, Find(3)=3, Add (2,3)=20 Failed, w=43\",\"Find(1)=3, Find(5)=3, Add (1,5)=28 Failed, w=43\",\"Find(0)=3, Find(4)=3, Add (0,4)=43 Failed, w=43\",\"Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=43\",\"Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=43\",\"Find(0)=3, Find(3)=3, Add (0,3)=69 Failed, w=43\",\"Find(4)=3, Find(5)=3, Add (4,5)=85 Failed, w=43\",\"Find(0)=3, Find(1)=3, Add (0,1)=91 Failed, w=43\",\"Find(2)=3, Find(4)=3, Add (2,4)=94 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,63],[0,3,69],[0,4,43],[0,5,4],[1,2,14],[1,3,13],[1,4,49],[1,5,28],[2,3,20],[2,4,94],[3,4,0],[3,5,12],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,5)=4,(3,5)=12,(1,3)=13,(1,2)=14,(2,3)=20,(1,5)=28,(0,4)=43,(1,4)=49,(0,2)=63,(0,3)=69,(4,5)=85,(0,1)=91,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, 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: 0}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=12 Succeeded, w=16\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=29\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(2)=2, Add (1,2)=14 Succeeded, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=3, Find(3)=3, Add (2,3)=20 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=28 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=43 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=69 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=85 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=91 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=94 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,56],[0,3,55],[1,2,75],[1,3,48],[1,4,33],[2,3,27],[2,4,45],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,55],[1,2,75],[1,3,48],[1,4,33],[2,3,27],[2,4,45],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,55],[1,2,75],[1,3,48],[1,4,33],[2,3,27],[2,4,45],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,55],[1,2,75],[1,3,48],[1,4,33],[2,3,27],[2,4,45],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=27, w=27\",\"Add (3,4)=29, w=56\",\"Add (1,4)=33, w=89\",\"Add (0,3)=55, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,55],[1,2,75],[1,3,48],[1,4,33],[2,3,27],[2,4,45],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=27 Succeeded, w=27\",\"Add (3,4)=29 Succeeded, w=56\",\"Add (1,4)=33 Succeeded, w=89\",\"Add (2,4)=45 Failed, w=89\",\"Add (1,3)=48 Failed, w=89\",\"Add (0,3)=55 Succeeded, w=144\",\"Add (0,1)=56 Failed, w=144\",\"Add (1,2)=75 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,55],[1,2,75],[1,3,48],[1,4,33],[2,3,27],[2,4,45],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=27,(3,4)=29,(1,4)=33,(2,4)=45,(1,3)=48,(0,3)=55,(0,1)=56,(1,2)=75]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=27\",\"Find(3)=2, Find(4)=4, Add (3,4)=29 Succeeded, w=56\",\"Find(1)=1, Find(4)=2, Add (1,4)=33 Succeeded, w=89\",\"Find(2)=2, Find(4)=2, Add (2,4)=45 Failed, w=89\",\"Find(1)=2, Find(3)=2, Add (1,3)=48 Failed, w=89\",\"Find(0)=0, Find(3)=2, Add (0,3)=55 Succeeded, w=144\",\"Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=144\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,3,55],[1,2,75],[1,3,48],[1,4,33],[2,3,27],[2,4,45],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=27,(3,4)=29,(1,4)=33,(2,4)=45,(1,3)=48,(0,3)=55,(0,1)=56,(1,2)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=29 Succeeded, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=33 Succeeded, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=45 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=48 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=55 Succeeded, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,5],[0,2,20],[0,3,63],[0,4,67],[1,2,25],[1,3,21],[1,4,99],[2,3,28],[2,4,2],[3,4,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,20],[0,3,63],[0,4,67],[1,2,25],[1,3,21],[1,4,99],[2,3,28],[2,4,2],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,20],[0,3,63],[0,4,67],[1,2,25],[1,3,21],[1,4,99],[2,3,28],[2,4,2],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,20],[0,3,63],[0,4,67],[1,2,25],[1,3,21],[1,4,99],[2,3,28],[2,4,2],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,1)=5, w=7\",\"Add (3,4)=13, w=20\",\"Add (0,2)=20, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,20],[0,3,63],[0,4,67],[1,2,25],[1,3,21],[1,4,99],[2,3,28],[2,4,2],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,1)=5 Succeeded, w=7\",\"Add (3,4)=13 Succeeded, w=20\",\"Add (0,2)=20 Succeeded, w=40\",\"Add (1,3)=21 Failed, w=40\",\"Add (1,2)=25 Failed, w=40\",\"Add (2,3)=28 Failed, w=40\",\"Add (0,3)=63 Failed, w=40\",\"Add (0,4)=67 Failed, w=40\",\"Add (1,4)=99 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,20],[0,3,63],[0,4,67],[1,2,25],[1,3,21],[1,4,99],[2,3,28],[2,4,2],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,1)=5,(3,4)=13,(0,2)=20,(1,3)=21,(1,2)=25,(2,3)=28,(0,3)=63,(0,4)=67,(1,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=7\",\"Find(3)=3, Find(4)=2, Add (3,4)=13 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=40\",\"Find(1)=0, Find(3)=0, Add (1,3)=21 Failed, w=40\",\"Find(1)=0, Find(2)=0, Add (1,2)=25 Failed, w=40\",\"Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=40\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=40\",\"Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=40\",\"Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,20],[0,3,63],[0,4,67],[1,2,25],[1,3,21],[1,4,99],[2,3,28],[2,4,2],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,1)=5,(3,4)=13,(0,2)=20,(1,3)=21,(1,2)=25,(2,3)=28,(0,3)=63,(0,4)=67,(1,4)=99]\",\"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: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=21 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=25 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=40\"],\"Answer\":40}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,79],[0,2,56],[0,3,76],[0,4,86],[0,6,85],[0,7,80],[1,3,3],[1,4,83],[1,6,61],[1,7,4],[2,4,79],[2,5,56],[2,7,19],[3,4,68],[3,5,85],[3,6,47],[3,7,14],[4,5,25],[4,6,37],[4,7,1],[5,6,83],[5,7,46],[6,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,56],[0,3,76],[0,4,86],[0,6,85],[0,7,80],[1,3,3],[1,4,83],[1,6,61],[1,7,4],[2,4,79],[2,5,56],[2,7,19],[3,4,68],[3,5,85],[3,6,47],[3,7,14],[4,5,25],[4,6,37],[4,7,1],[5,6,83],[5,7,46],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,56],[0,3,76],[0,4,86],[0,6,85],[0,7,80],[1,3,3],[1,4,83],[1,6,61],[1,7,4],[2,4,79],[2,5,56],[2,7,19],[3,4,68],[3,5,85],[3,6,47],[3,7,14],[4,5,25],[4,6,37],[4,7,1],[5,6,83],[5,7,46],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (1,3)\",\"Add (1,7)\",\"Add (2,7)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (0,2)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,56],[0,3,76],[0,4,86],[0,6,85],[0,7,80],[1,3,3],[1,4,83],[1,6,61],[1,7,4],[2,4,79],[2,5,56],[2,7,19],[3,4,68],[3,5,85],[3,6,47],[3,7,14],[4,5,25],[4,6,37],[4,7,1],[5,6,83],[5,7,46],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=1, w=1\",\"Add (1,3)=3, w=4\",\"Add (1,7)=4, w=8\",\"Add (2,7)=19, w=27\",\"Add (4,5)=25, w=52\",\"Add (4,6)=37, w=89\",\"Add (0,2)=56, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,56],[0,3,76],[0,4,86],[0,6,85],[0,7,80],[1,3,3],[1,4,83],[1,6,61],[1,7,4],[2,4,79],[2,5,56],[2,7,19],[3,4,68],[3,5,85],[3,6,47],[3,7,14],[4,5,25],[4,6,37],[4,7,1],[5,6,83],[5,7,46],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=1 Succeeded, w=1\",\"Add (1,3)=3 Succeeded, w=4\",\"Add (1,7)=4 Succeeded, w=8\",\"Add (3,7)=14 Failed, w=8\",\"Add (2,7)=19 Succeeded, w=27\",\"Add (4,5)=25 Succeeded, w=52\",\"Add (4,6)=37 Succeeded, w=89\",\"Add (5,7)=46 Failed, w=89\",\"Add (3,6)=47 Failed, w=89\",\"Add (6,7)=52 Failed, w=89\",\"Add (0,2)=56 Succeeded, w=145\",\"Add (2,5)=56 Failed, w=145\",\"Add (1,6)=61 Failed, w=145\",\"Add (3,4)=68 Failed, w=145\",\"Add (0,3)=76 Failed, w=145\",\"Add (0,1)=79 Failed, w=145\",\"Add (2,4)=79 Failed, w=145\",\"Add (0,7)=80 Failed, w=145\",\"Add (1,4)=83 Failed, w=145\",\"Add (5,6)=83 Failed, w=145\",\"Add (0,6)=85 Failed, w=145\",\"Add (3,5)=85 Failed, w=145\",\"Add (0,4)=86 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,56],[0,3,76],[0,4,86],[0,6,85],[0,7,80],[1,3,3],[1,4,83],[1,6,61],[1,7,4],[2,4,79],[2,5,56],[2,7,19],[3,4,68],[3,5,85],[3,6,47],[3,7,14],[4,5,25],[4,6,37],[4,7,1],[5,6,83],[5,7,46],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=1,(1,3)=3,(1,7)=4,(3,7)=14,(2,7)=19,(4,5)=25,(4,6)=37,(5,7)=46,(3,6)=47,(6,7)=52,(0,2)=56,(2,5)=56,(1,6)=61,(3,4)=68,(0,3)=76,(0,1)=79,(2,4)=79,(0,7)=80,(1,4)=83,(5,6)=83,(0,6)=85,(3,5)=85,(0,4)=86]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Find(1)=1, Find(7)=4, Add (1,7)=4 Succeeded, w=8\",\"Find(3)=1, Find(7)=1, Add (3,7)=14 Failed, w=8\",\"Find(2)=2, Find(7)=1, Add (2,7)=19 Succeeded, w=27\",\"Find(4)=1, Find(5)=5, Add (4,5)=25 Succeeded, w=52\",\"Find(4)=1, Find(6)=6, Add (4,6)=37 Succeeded, w=89\",\"Find(5)=1, Find(7)=1, Add (5,7)=46 Failed, w=89\",\"Find(3)=1, Find(6)=1, Add (3,6)=47 Failed, w=89\",\"Find(6)=1, Find(7)=1, Add (6,7)=52 Failed, w=89\",\"Find(0)=0, Find(2)=1, Add (0,2)=56 Succeeded, w=145\",\"Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=145\",\"Find(1)=1, Find(6)=1, Add (1,6)=61 Failed, w=145\",\"Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=145\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=145\",\"Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=145\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=145\",\"Find(0)=1, Find(7)=1, Add (0,7)=80 Failed, w=145\",\"Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=145\",\"Find(5)=1, Find(6)=1, Add (5,6)=83 Failed, w=145\",\"Find(0)=1, Find(6)=1, Add (0,6)=85 Failed, w=145\",\"Find(3)=1, Find(5)=1, Add (3,5)=85 Failed, w=145\",\"Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,56],[0,3,76],[0,4,86],[0,6,85],[0,7,80],[1,3,3],[1,4,83],[1,6,61],[1,7,4],[2,4,79],[2,5,56],[2,7,19],[3,4,68],[3,5,85],[3,6,47],[3,7,14],[4,5,25],[4,6,37],[4,7,1],[5,6,83],[5,7,46],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=1,(1,3)=3,(1,7)=4,(3,7)=14,(2,7)=19,(4,5)=25,(4,6)=37,(5,7)=46,(3,6)=47,(6,7)=52,(0,2)=56,(2,5)=56,(1,6)=61,(3,4)=68,(0,3)=76,(0,1)=79,(2,4)=79,(0,7)=80,(1,4)=83,(5,6)=83,(0,6)=85,(3,5)=85,(0,4)=86]\",\"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: 1, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=14 Failed, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=19 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(5)=5, Add (4,5)=25 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=6, Add (4,6)=37 Succeeded, w=89\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=46 Failed, w=89\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=47 Failed, w=89\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=52 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=56 Succeeded, w=145\",\"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)=56 Failed, w=145\",\"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)=61 Failed, w=145\",\"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)=68 Failed, w=145\",\"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)=76 Failed, w=145\",\"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)=79 Failed, w=145\",\"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)=79 Failed, w=145\",\"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)=80 Failed, w=145\",\"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)=83 Failed, w=145\",\"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)=83 Failed, w=145\",\"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)=85 Failed, w=145\",\"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)=85 Failed, w=145\",\"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)=86 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,52],[0,2,61],[0,3,46],[0,5,17],[0,7,59],[1,2,52],[1,3,64],[1,4,36],[1,7,81],[2,4,66],[2,5,21],[2,7,22],[3,4,49],[3,5,69],[3,6,68],[3,7,85],[4,6,18],[5,6,99],[5,7,41],[6,7,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,61],[0,3,46],[0,5,17],[0,7,59],[1,2,52],[1,3,64],[1,4,36],[1,7,81],[2,4,66],[2,5,21],[2,7,22],[3,4,49],[3,5,69],[3,6,68],[3,7,85],[4,6,18],[5,6,99],[5,7,41],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,61],[0,3,46],[0,5,17],[0,7,59],[1,2,52],[1,3,64],[1,4,36],[1,7,81],[2,4,66],[2,5,21],[2,7,22],[3,4,49],[3,5,69],[3,6,68],[3,7,85],[4,6,18],[5,6,99],[5,7,41],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (2,7)\",\"Add (1,4)\",\"Add (6,7)\",\"Add (0,3)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,61],[0,3,46],[0,5,17],[0,7,59],[1,2,52],[1,3,64],[1,4,36],[1,7,81],[2,4,66],[2,5,21],[2,7,22],[3,4,49],[3,5,69],[3,6,68],[3,7,85],[4,6,18],[5,6,99],[5,7,41],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=17, w=17\",\"Add (4,6)=18, w=35\",\"Add (2,5)=21, w=56\",\"Add (2,7)=22, w=78\",\"Add (1,4)=36, w=114\",\"Add (6,7)=40, w=154\",\"Add (0,3)=46, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,61],[0,3,46],[0,5,17],[0,7,59],[1,2,52],[1,3,64],[1,4,36],[1,7,81],[2,4,66],[2,5,21],[2,7,22],[3,4,49],[3,5,69],[3,6,68],[3,7,85],[4,6,18],[5,6,99],[5,7,41],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=17 Succeeded, w=17\",\"Add (4,6)=18 Succeeded, w=35\",\"Add (2,5)=21 Succeeded, w=56\",\"Add (2,7)=22 Succeeded, w=78\",\"Add (1,4)=36 Succeeded, w=114\",\"Add (6,7)=40 Succeeded, w=154\",\"Add (5,7)=41 Failed, w=154\",\"Add (0,3)=46 Succeeded, w=200\",\"Add (3,4)=49 Failed, w=200\",\"Add (0,1)=52 Failed, w=200\",\"Add (1,2)=52 Failed, w=200\",\"Add (0,7)=59 Failed, w=200\",\"Add (0,2)=61 Failed, w=200\",\"Add (1,3)=64 Failed, w=200\",\"Add (2,4)=66 Failed, w=200\",\"Add (3,6)=68 Failed, w=200\",\"Add (3,5)=69 Failed, w=200\",\"Add (1,7)=81 Failed, w=200\",\"Add (3,7)=85 Failed, w=200\",\"Add (5,6)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,61],[0,3,46],[0,5,17],[0,7,59],[1,2,52],[1,3,64],[1,4,36],[1,7,81],[2,4,66],[2,5,21],[2,7,22],[3,4,49],[3,5,69],[3,6,68],[3,7,85],[4,6,18],[5,6,99],[5,7,41],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=17,(4,6)=18,(2,5)=21,(2,7)=22,(1,4)=36,(6,7)=40,(5,7)=41,(0,3)=46,(3,4)=49,(0,1)=52,(1,2)=52,(0,7)=59,(0,2)=61,(1,3)=64,(2,4)=66,(3,6)=68,(3,5)=69,(1,7)=81,(3,7)=85,(5,6)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=17\",\"Find(4)=4, Find(6)=6, Add (4,6)=18 Succeeded, w=35\",\"Find(2)=2, Find(5)=0, Add (2,5)=21 Succeeded, w=56\",\"Find(2)=0, Find(7)=7, Add (2,7)=22 Succeeded, w=78\",\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=114\",\"Find(6)=4, Find(7)=0, Add (6,7)=40 Succeeded, w=154\",\"Find(5)=4, Find(7)=4, Add (5,7)=41 Failed, w=154\",\"Find(0)=4, Find(3)=3, Add (0,3)=46 Succeeded, w=200\",\"Find(3)=4, Find(4)=4, Add (3,4)=49 Failed, w=200\",\"Find(0)=4, Find(1)=4, Add (0,1)=52 Failed, w=200\",\"Find(1)=4, Find(2)=4, Add (1,2)=52 Failed, w=200\",\"Find(0)=4, Find(7)=4, Add (0,7)=59 Failed, w=200\",\"Find(0)=4, Find(2)=4, Add (0,2)=61 Failed, w=200\",\"Find(1)=4, Find(3)=4, Add (1,3)=64 Failed, w=200\",\"Find(2)=4, Find(4)=4, Add (2,4)=66 Failed, w=200\",\"Find(3)=4, Find(6)=4, Add (3,6)=68 Failed, w=200\",\"Find(3)=4, Find(5)=4, Add (3,5)=69 Failed, w=200\",\"Find(1)=4, Find(7)=4, Add (1,7)=81 Failed, w=200\",\"Find(3)=4, Find(7)=4, Add (3,7)=85 Failed, w=200\",\"Find(5)=4, Find(6)=4, Add (5,6)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,61],[0,3,46],[0,5,17],[0,7,59],[1,2,52],[1,3,64],[1,4,36],[1,7,81],[2,4,66],[2,5,21],[2,7,22],[3,4,49],[3,5,69],[3,6,68],[3,7,85],[4,6,18],[5,6,99],[5,7,41],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=17,(4,6)=18,(2,5)=21,(2,7)=22,(1,4)=36,(6,7)=40,(5,7)=41,(0,3)=46,(3,4)=49,(0,1)=52,(1,2)=52,(0,7)=59,(0,2)=61,(1,3)=64,(2,4)=66,(3,6)=68,(3,5)=69,(1,7)=81,(3,7)=85,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4, 7: 7}, Find(2)=2, Find(5)=0, Add (2,5)=21 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=22 Succeeded, w=78\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=114\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4, 7: 0}, Find(6)=4, Find(7)=0, Add (6,7)=40 Succeeded, w=154\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=41 Failed, w=154\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=3, Add (0,3)=46 Succeeded, w=200\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=49 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=52 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=52 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=59 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=61 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=64 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=66 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=68 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=69 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=81 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=85 Failed, w=200\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,68],[0,2,74],[0,3,48],[0,4,58],[0,5,76],[0,7,58],[1,2,6],[1,3,20],[1,7,49],[2,3,95],[2,5,71],[2,6,61],[2,7,96],[3,4,22],[3,5,71],[3,6,58],[4,6,99],[4,7,71],[5,7,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,48],[0,4,58],[0,5,76],[0,7,58],[1,2,6],[1,3,20],[1,7,49],[2,3,95],[2,5,71],[2,6,61],[2,7,96],[3,4,22],[3,5,71],[3,6,58],[4,6,99],[4,7,71],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,48],[0,4,58],[0,5,76],[0,7,58],[1,2,6],[1,3,20],[1,7,49],[2,3,95],[2,5,71],[2,6,61],[2,7,96],[3,4,22],[3,5,71],[3,6,58],[4,6,99],[4,7,71],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (5,7)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (3,6)\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,48],[0,4,58],[0,5,76],[0,7,58],[1,2,6],[1,3,20],[1,7,49],[2,3,95],[2,5,71],[2,6,61],[2,7,96],[3,4,22],[3,5,71],[3,6,58],[4,6,99],[4,7,71],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (5,7)=19, w=25\",\"Add (1,3)=20, w=45\",\"Add (3,4)=22, w=67\",\"Add (0,3)=48, w=115\",\"Add (1,7)=49, w=164\",\"Add (3,6)=58, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,48],[0,4,58],[0,5,76],[0,7,58],[1,2,6],[1,3,20],[1,7,49],[2,3,95],[2,5,71],[2,6,61],[2,7,96],[3,4,22],[3,5,71],[3,6,58],[4,6,99],[4,7,71],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (5,7)=19 Succeeded, w=25\",\"Add (1,3)=20 Succeeded, w=45\",\"Add (3,4)=22 Succeeded, w=67\",\"Add (0,3)=48 Succeeded, w=115\",\"Add (1,7)=49 Succeeded, w=164\",\"Add (0,4)=58 Failed, w=164\",\"Add (0,7)=58 Failed, w=164\",\"Add (3,6)=58 Succeeded, w=222\",\"Add (2,6)=61 Failed, w=222\",\"Add (0,1)=68 Failed, w=222\",\"Add (2,5)=71 Failed, w=222\",\"Add (3,5)=71 Failed, w=222\",\"Add (4,7)=71 Failed, w=222\",\"Add (0,2)=74 Failed, w=222\",\"Add (0,5)=76 Failed, w=222\",\"Add (2,3)=95 Failed, w=222\",\"Add (2,7)=96 Failed, w=222\",\"Add (4,6)=99 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,48],[0,4,58],[0,5,76],[0,7,58],[1,2,6],[1,3,20],[1,7,49],[2,3,95],[2,5,71],[2,6,61],[2,7,96],[3,4,22],[3,5,71],[3,6,58],[4,6,99],[4,7,71],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(5,7)=19,(1,3)=20,(3,4)=22,(0,3)=48,(1,7)=49,(0,4)=58,(0,7)=58,(3,6)=58,(2,6)=61,(0,1)=68,(2,5)=71,(3,5)=71,(4,7)=71,(0,2)=74,(0,5)=76,(2,3)=95,(2,7)=96,(4,6)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(5)=5, Find(7)=7, Add (5,7)=19 Succeeded, w=25\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=45\",\"Find(3)=1, Find(4)=4, Add (3,4)=22 Succeeded, w=67\",\"Find(0)=0, Find(3)=1, Add (0,3)=48 Succeeded, w=115\",\"Find(1)=1, Find(7)=5, Add (1,7)=49 Succeeded, w=164\",\"Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=164\",\"Find(0)=1, Find(7)=1, Add (0,7)=58 Failed, w=164\",\"Find(3)=1, Find(6)=6, Add (3,6)=58 Succeeded, w=222\",\"Find(2)=1, Find(6)=1, Add (2,6)=61 Failed, w=222\",\"Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=222\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=222\",\"Find(3)=1, Find(5)=1, Add (3,5)=71 Failed, w=222\",\"Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=222\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=222\",\"Find(0)=1, Find(5)=1, Add (0,5)=76 Failed, w=222\",\"Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=222\",\"Find(2)=1, Find(7)=1, Add (2,7)=96 Failed, w=222\",\"Find(4)=1, Find(6)=1, Add (4,6)=99 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,48],[0,4,58],[0,5,76],[0,7,58],[1,2,6],[1,3,20],[1,7,49],[2,3,95],[2,5,71],[2,6,61],[2,7,96],[3,4,22],[3,5,71],[3,6,58],[4,6,99],[4,7,71],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(5,7)=19,(1,3)=20,(3,4)=22,(0,3)=48,(1,7)=49,(0,4)=58,(0,7)=58,(3,6)=58,(2,6)=61,(0,1)=68,(2,5)=71,(3,5)=71,(4,7)=71,(0,2)=74,(0,5)=76,(2,3)=95,(2,7)=96,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=19 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(3)=1, Find(4)=4, Add (3,4)=22 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(3)=1, Add (0,3)=48 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=49 Succeeded, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=58 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=58 Succeeded, w=222\",\"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)=61 Failed, w=222\",\"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)=68 Failed, w=222\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=222\",\"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)=71 Failed, w=222\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=222\",\"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)=74 Failed, w=222\",\"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)=76 Failed, w=222\",\"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)=95 Failed, w=222\",\"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)=96 Failed, w=222\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=99 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,76],[0,3,2],[0,4,86],[0,6,49],[0,7,40],[1,2,88],[1,3,64],[1,4,43],[1,5,67],[1,6,71],[1,7,82],[2,3,73],[2,4,57],[2,5,4],[2,6,50],[2,7,90],[3,4,68],[3,5,81],[3,6,57],[3,7,76],[4,5,61],[4,6,22],[4,7,68],[5,6,97],[5,7,36],[6,7,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,2],[0,4,86],[0,6,49],[0,7,40],[1,2,88],[1,3,64],[1,4,43],[1,5,67],[1,6,71],[1,7,82],[2,3,73],[2,4,57],[2,5,4],[2,6,50],[2,7,90],[3,4,68],[3,5,81],[3,6,57],[3,7,76],[4,5,61],[4,6,22],[4,7,68],[5,6,97],[5,7,36],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,2],[0,4,86],[0,6,49],[0,7,40],[1,2,88],[1,3,64],[1,4,43],[1,5,67],[1,6,71],[1,7,82],[2,3,73],[2,4,57],[2,5,4],[2,6,50],[2,7,90],[3,4,68],[3,5,81],[3,6,57],[3,7,76],[4,5,61],[4,6,22],[4,7,68],[5,6,97],[5,7,36],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (5,7)\",\"Add (0,7)\",\"Add (1,4)\",\"Add (0,6)\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,2],[0,4,86],[0,6,49],[0,7,40],[1,2,88],[1,3,64],[1,4,43],[1,5,67],[1,6,71],[1,7,82],[2,3,73],[2,4,57],[2,5,4],[2,6,50],[2,7,90],[3,4,68],[3,5,81],[3,6,57],[3,7,76],[4,5,61],[4,6,22],[4,7,68],[5,6,97],[5,7,36],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (2,5)=4, w=6\",\"Add (4,6)=22, w=28\",\"Add (5,7)=36, w=64\",\"Add (0,7)=40, w=104\",\"Add (1,4)=43, w=147\",\"Add (0,6)=49, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,2],[0,4,86],[0,6,49],[0,7,40],[1,2,88],[1,3,64],[1,4,43],[1,5,67],[1,6,71],[1,7,82],[2,3,73],[2,4,57],[2,5,4],[2,6,50],[2,7,90],[3,4,68],[3,5,81],[3,6,57],[3,7,76],[4,5,61],[4,6,22],[4,7,68],[5,6,97],[5,7,36],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (2,5)=4 Succeeded, w=6\",\"Add (4,6)=22 Succeeded, w=28\",\"Add (5,7)=36 Succeeded, w=64\",\"Add (0,7)=40 Succeeded, w=104\",\"Add (1,4)=43 Succeeded, w=147\",\"Add (0,6)=49 Succeeded, w=196\",\"Add (2,6)=50 Failed, w=196\",\"Add (2,4)=57 Failed, w=196\",\"Add (3,6)=57 Failed, w=196\",\"Add (4,5)=61 Failed, w=196\",\"Add (1,3)=64 Failed, w=196\",\"Add (6,7)=65 Failed, w=196\",\"Add (1,5)=67 Failed, w=196\",\"Add (3,4)=68 Failed, w=196\",\"Add (4,7)=68 Failed, w=196\",\"Add (1,6)=71 Failed, w=196\",\"Add (2,3)=73 Failed, w=196\",\"Add (0,2)=76 Failed, w=196\",\"Add (3,7)=76 Failed, w=196\",\"Add (3,5)=81 Failed, w=196\",\"Add (1,7)=82 Failed, w=196\",\"Add (0,4)=86 Failed, w=196\",\"Add (1,2)=88 Failed, w=196\",\"Add (2,7)=90 Failed, w=196\",\"Add (5,6)=97 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,2],[0,4,86],[0,6,49],[0,7,40],[1,2,88],[1,3,64],[1,4,43],[1,5,67],[1,6,71],[1,7,82],[2,3,73],[2,4,57],[2,5,4],[2,6,50],[2,7,90],[3,4,68],[3,5,81],[3,6,57],[3,7,76],[4,5,61],[4,6,22],[4,7,68],[5,6,97],[5,7,36],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(2,5)=4,(4,6)=22,(5,7)=36,(0,7)=40,(1,4)=43,(0,6)=49,(2,6)=50,(2,4)=57,(3,6)=57,(4,5)=61,(1,3)=64,(6,7)=65,(1,5)=67,(3,4)=68,(4,7)=68,(1,6)=71,(2,3)=73,(0,2)=76,(3,7)=76,(3,5)=81,(1,7)=82,(0,4)=86,(1,2)=88,(2,7)=90,(5,6)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=6\",\"Find(4)=4, Find(6)=6, Add (4,6)=22 Succeeded, w=28\",\"Find(5)=2, Find(7)=7, Add (5,7)=36 Succeeded, w=64\",\"Find(0)=0, Find(7)=2, Add (0,7)=40 Succeeded, w=104\",\"Find(1)=1, Find(4)=4, Add (1,4)=43 Succeeded, w=147\",\"Find(0)=0, Find(6)=4, Add (0,6)=49 Succeeded, w=196\",\"Find(2)=0, Find(6)=0, Add (2,6)=50 Failed, w=196\",\"Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=196\",\"Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=196\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=196\",\"Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=196\",\"Find(6)=0, Find(7)=0, Add (6,7)=65 Failed, w=196\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=196\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=196\",\"Find(4)=0, Find(7)=0, Add (4,7)=68 Failed, w=196\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=196\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=196\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=196\",\"Find(3)=0, Find(7)=0, Add (3,7)=76 Failed, w=196\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=196\",\"Find(1)=0, Find(7)=0, Add (1,7)=82 Failed, w=196\",\"Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=196\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=196\",\"Find(2)=0, Find(7)=0, Add (2,7)=90 Failed, w=196\",\"Find(5)=0, Find(6)=0, Add (5,6)=97 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,2],[0,4,86],[0,6,49],[0,7,40],[1,2,88],[1,3,64],[1,4,43],[1,5,67],[1,6,71],[1,7,82],[2,3,73],[2,4,57],[2,5,4],[2,6,50],[2,7,90],[3,4,68],[3,5,81],[3,6,57],[3,7,76],[4,5,61],[4,6,22],[4,7,68],[5,6,97],[5,7,36],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(2,5)=4,(4,6)=22,(5,7)=36,(0,7)=40,(1,4)=43,(0,6)=49,(2,6)=50,(2,4)=57,(3,6)=57,(4,5)=61,(1,3)=64,(6,7)=65,(1,5)=67,(3,4)=68,(4,7)=68,(1,6)=71,(2,3)=73,(0,2)=76,(3,7)=76,(3,5)=81,(1,7)=82,(0,4)=86,(1,2)=88,(2,7)=90,(5,6)=97]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=22 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 4, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=36 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 2, 6: 4, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=40 Succeeded, w=104\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 4, 5: 2, 6: 4, 7: 2}, Find(1)=1, Find(4)=4, Add (1,4)=43 Succeeded, w=147\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 2, 6: 4, 7: 2}, Find(0)=0, Find(6)=4, Add (0,6)=49 Succeeded, w=196\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 2}, Find(2)=0, Find(6)=0, Add (2,6)=50 Failed, w=196\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 2}, Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=196\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=196\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(3)=0, Add (1,3)=64 Failed, w=196\",\"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)=65 Failed, w=196\",\"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)=67 Failed, w=196\",\"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)=68 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=68 Failed, w=196\",\"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)=71 Failed, w=196\",\"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)=73 Failed, w=196\",\"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)=76 Failed, w=196\",\"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)=76 Failed, w=196\",\"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)=81 Failed, w=196\",\"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)=82 Failed, w=196\",\"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)=86 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=196\",\"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)=90 Failed, w=196\",\"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=196\"],\"Answer\":196}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,88],[0,2,84],[0,3,26],[0,4,66],[0,5,31],[1,2,76],[1,4,19],[1,5,47],[2,3,63],[2,4,33],[2,5,26],[3,4,38],[3,5,91],[4,5,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,84],[0,3,26],[0,4,66],[0,5,31],[1,2,76],[1,4,19],[1,5,47],[2,3,63],[2,4,33],[2,5,26],[3,4,38],[3,5,91],[4,5,26]]}",
"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],\"edges\":[[0,1,88],[0,2,84],[0,3,26],[0,4,66],[0,5,31],[1,2,76],[1,4,19],[1,5,47],[2,3,63],[2,4,33],[2,5,26],[3,4,38],[3,5,91],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (0,5)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,84],[0,3,26],[0,4,66],[0,5,31],[1,2,76],[1,4,19],[1,5,47],[2,3,63],[2,4,33],[2,5,26],[3,4,38],[3,5,91],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=19, w=19\",\"Add (0,3)=26, w=45\",\"Add (2,5)=26, w=71\",\"Add (4,5)=26, w=97\",\"Add (0,5)=31, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,84],[0,3,26],[0,4,66],[0,5,31],[1,2,76],[1,4,19],[1,5,47],[2,3,63],[2,4,33],[2,5,26],[3,4,38],[3,5,91],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=19 Succeeded, w=19\",\"Add (0,3)=26 Succeeded, w=45\",\"Add (2,5)=26 Succeeded, w=71\",\"Add (4,5)=26 Succeeded, w=97\",\"Add (0,5)=31 Succeeded, w=128\",\"Add (2,4)=33 Failed, w=128\",\"Add (3,4)=38 Failed, w=128\",\"Add (1,5)=47 Failed, w=128\",\"Add (2,3)=63 Failed, w=128\",\"Add (0,4)=66 Failed, w=128\",\"Add (1,2)=76 Failed, w=128\",\"Add (0,2)=84 Failed, w=128\",\"Add (0,1)=88 Failed, w=128\",\"Add (3,5)=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],\"edges\":[[0,1,88],[0,2,84],[0,3,26],[0,4,66],[0,5,31],[1,2,76],[1,4,19],[1,5,47],[2,3,63],[2,4,33],[2,5,26],[3,4,38],[3,5,91],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=19,(0,3)=26,(2,5)=26,(4,5)=26,(0,5)=31,(2,4)=33,(3,4)=38,(1,5)=47,(2,3)=63,(0,4)=66,(1,2)=76,(0,2)=84,(0,1)=88,(3,5)=91]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=45\",\"Find(2)=2, Find(5)=5, Add (2,5)=26 Succeeded, w=71\",\"Find(4)=1, Find(5)=2, Add (4,5)=26 Succeeded, w=97\",\"Find(0)=0, Find(5)=1, Add (0,5)=31 Succeeded, w=128\",\"Find(2)=1, Find(4)=1, Add (2,4)=33 Failed, w=128\",\"Find(3)=1, Find(4)=1, Add (3,4)=38 Failed, w=128\",\"Find(1)=1, Find(5)=1, Add (1,5)=47 Failed, w=128\",\"Find(2)=1, Find(3)=1, Add (2,3)=63 Failed, w=128\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=128\",\"Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=128\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=128\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=128\",\"Find(3)=1, Find(5)=1, Add (3,5)=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],\"edges\":[[0,1,88],[0,2,84],[0,3,26],[0,4,66],[0,5,31],[1,2,76],[1,4,19],[1,5,47],[2,3,63],[2,4,33],[2,5,26],[3,4,38],[3,5,91],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=19,(0,3)=26,(2,5)=26,(4,5)=26,(0,5)=31,(2,4)=33,(3,4)=38,(1,5)=47,(2,3)=63,(0,4)=66,(1,2)=76,(0,2)=84,(0,1)=88,(3,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=26 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 2}, Find(4)=1, Find(5)=2, Add (4,5)=26 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=31 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=33 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=38 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=47 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=63 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,46],[0,4,10],[0,5,88],[0,7,50],[1,2,52],[1,3,40],[1,5,73],[2,3,14],[2,4,65],[2,5,12],[3,4,19],[3,5,16],[3,6,59],[4,5,59],[4,7,17],[5,6,9],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,10],[0,5,88],[0,7,50],[1,2,52],[1,3,40],[1,5,73],[2,3,14],[2,4,65],[2,5,12],[3,4,19],[3,5,16],[3,6,59],[4,5,59],[4,7,17],[5,6,9],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,10],[0,5,88],[0,7,50],[1,2,52],[1,3,40],[1,5,73],[2,3,14],[2,4,65],[2,5,12],[3,4,19],[3,5,16],[3,6,59],[4,5,59],[4,7,17],[5,6,9],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (1,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,10],[0,5,88],[0,7,50],[1,2,52],[1,3,40],[1,5,73],[2,3,14],[2,4,65],[2,5,12],[3,4,19],[3,5,16],[3,6,59],[4,5,59],[4,7,17],[5,6,9],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8, w=8\",\"Add (5,6)=9, w=17\",\"Add (0,4)=10, w=27\",\"Add (2,5)=12, w=39\",\"Add (2,3)=14, w=53\",\"Add (4,7)=17, w=70\",\"Add (1,3)=40, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,10],[0,5,88],[0,7,50],[1,2,52],[1,3,40],[1,5,73],[2,3,14],[2,4,65],[2,5,12],[3,4,19],[3,5,16],[3,6,59],[4,5,59],[4,7,17],[5,6,9],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8 Succeeded, w=8\",\"Add (5,6)=9 Succeeded, w=17\",\"Add (0,4)=10 Succeeded, w=27\",\"Add (2,5)=12 Succeeded, w=39\",\"Add (2,3)=14 Succeeded, w=53\",\"Add (3,5)=16 Failed, w=53\",\"Add (4,7)=17 Succeeded, w=70\",\"Add (3,4)=19 Failed, w=70\",\"Add (1,3)=40 Succeeded, w=110\",\"Add (0,2)=46 Failed, w=110\",\"Add (0,7)=50 Failed, w=110\",\"Add (1,2)=52 Failed, w=110\",\"Add (3,6)=59 Failed, w=110\",\"Add (4,5)=59 Failed, w=110\",\"Add (2,4)=65 Failed, w=110\",\"Add (1,5)=73 Failed, w=110\",\"Add (0,5)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,10],[0,5,88],[0,7,50],[1,2,52],[1,3,40],[1,5,73],[2,3,14],[2,4,65],[2,5,12],[3,4,19],[3,5,16],[3,6,59],[4,5,59],[4,7,17],[5,6,9],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(5,6)=9,(0,4)=10,(2,5)=12,(2,3)=14,(3,5)=16,(4,7)=17,(3,4)=19,(1,3)=40,(0,2)=46,(0,7)=50,(1,2)=52,(3,6)=59,(4,5)=59,(2,4)=65,(1,5)=73,(0,5)=88]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=17\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=27\",\"Find(2)=2, Find(5)=6, Add (2,5)=12 Succeeded, w=39\",\"Find(2)=6, Find(3)=3, Add (2,3)=14 Succeeded, w=53\",\"Find(3)=6, Find(5)=6, Add (3,5)=16 Failed, w=53\",\"Find(4)=0, Find(7)=6, Add (4,7)=17 Succeeded, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=19 Failed, w=70\",\"Find(1)=1, Find(3)=0, Add (1,3)=40 Succeeded, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=110\",\"Find(0)=0, Find(7)=0, Add (0,7)=50 Failed, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=110\",\"Find(3)=0, Find(6)=0, Add (3,6)=59 Failed, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=110\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,10],[0,5,88],[0,7,50],[1,2,52],[1,3,40],[1,5,73],[2,3,14],[2,4,65],[2,5,12],[3,4,19],[3,5,16],[3,6,59],[4,5,59],[4,7,17],[5,6,9],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(5,6)=9,(0,4)=10,(2,5)=12,(2,3)=14,(3,5)=16,(4,7)=17,(3,4)=19,(1,3)=40,(0,2)=46,(0,7)=50,(1,2)=52,(3,6)=59,(4,5)=59,(2,4)=65,(1,5)=73,(0,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 6, 6: 6, 7: 6}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 0, 5: 6, 6: 6, 7: 6}, Find(2)=2, Find(5)=6, Add (2,5)=12 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 6, 4: 0, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(3)=3, Add (2,3)=14 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 6, 4: 0, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(5)=6, Add (3,5)=16 Failed, w=53\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 6, 4: 0, 5: 6, 6: 0, 7: 6}, Find(4)=0, Find(7)=6, Add (4,7)=17 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 0, 4: 0, 5: 6, 6: 0, 7: 6}, Find(3)=0, Find(4)=0, Add (3,4)=19 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 0, 4: 0, 5: 6, 6: 0, 7: 6}, Find(1)=1, Find(3)=0, Add (1,3)=40 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 6, 6: 0, 7: 6}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 6, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=50 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 6, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 6, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=59 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=110\",\"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)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,2,3],[0,5,33],[1,2,27],[1,4,15],[2,5,95],[3,4,63],[3,5,23],[4,5,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,3],[0,5,33],[1,2,27],[1,4,15],[2,5,95],[3,4,63],[3,5,23],[4,5,30]]}",
"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],\"edges\":[[0,1,34],[0,2,3],[0,5,33],[1,2,27],[1,4,15],[2,5,95],[3,4,63],[3,5,23],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (4,5)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,3],[0,5,33],[1,2,27],[1,4,15],[2,5,95],[3,4,63],[3,5,23],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,4)=15, w=18\",\"Add (3,5)=23, w=41\",\"Add (1,2)=27, w=68\",\"Add (4,5)=30, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,3],[0,5,33],[1,2,27],[1,4,15],[2,5,95],[3,4,63],[3,5,23],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,4)=15 Succeeded, w=18\",\"Add (3,5)=23 Succeeded, w=41\",\"Add (1,2)=27 Succeeded, w=68\",\"Add (4,5)=30 Succeeded, w=98\",\"Add (0,5)=33 Failed, w=98\",\"Add (0,1)=34 Failed, w=98\",\"Add (3,4)=63 Failed, w=98\",\"Add (2,5)=95 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],\"edges\":[[0,1,34],[0,2,3],[0,5,33],[1,2,27],[1,4,15],[2,5,95],[3,4,63],[3,5,23],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,4)=15,(3,5)=23,(1,2)=27,(4,5)=30,(0,5)=33,(0,1)=34,(3,4)=63,(2,5)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=18\",\"Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=41\",\"Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=68\",\"Find(4)=1, Find(5)=3, Add (4,5)=30 Succeeded, w=98\",\"Find(0)=1, Find(5)=1, Add (0,5)=33 Failed, w=98\",\"Find(0)=1, Find(1)=1, Add (0,1)=34 Failed, w=98\",\"Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=98\",\"Find(2)=1, Find(5)=1, Add (2,5)=95 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],\"edges\":[[0,1,34],[0,2,3],[0,5,33],[1,2,27],[1,4,15],[2,5,95],[3,4,63],[3,5,23],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,4)=15,(3,5)=23,(1,2)=27,(4,5)=30,(0,5)=33,(0,1)=34,(3,4)=63,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, 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}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 3}, Find(4)=1, Find(5)=3, Add (4,5)=30 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=33 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=34 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,7],[0,4,3],[1,2,82],[1,3,51],[1,4,1],[2,3,69],[3,5,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,4,3],[1,2,82],[1,3,51],[1,4,1],[2,3,69],[3,5,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,4,3],[1,2,82],[1,3,51],[1,4,1],[2,3,69],[3,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (1,3)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,4,3],[1,2,82],[1,3,51],[1,4,1],[2,3,69],[3,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (0,4)=3, w=4\",\"Add (0,2)=7, w=11\",\"Add (3,5)=50, w=61\",\"Add (1,3)=51, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,4,3],[1,2,82],[1,3,51],[1,4,1],[2,3,69],[3,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (0,4)=3 Succeeded, w=4\",\"Add (0,2)=7 Succeeded, w=11\",\"Add (3,5)=50 Succeeded, w=61\",\"Add (1,3)=51 Succeeded, w=112\",\"Add (2,3)=69 Failed, w=112\",\"Add (1,2)=82 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,4,3],[1,2,82],[1,3,51],[1,4,1],[2,3,69],[3,5,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(0,4)=3,(0,2)=7,(3,5)=50,(1,3)=51,(2,3)=69,(1,2)=82]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=1, Add (0,4)=3 Succeeded, w=4\",\"Find(0)=1, Find(2)=2, Add (0,2)=7 Succeeded, w=11\",\"Find(3)=3, Find(5)=5, Add (3,5)=50 Succeeded, w=61\",\"Find(1)=1, Find(3)=3, Add (1,3)=51 Succeeded, w=112\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=112\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,7],[0,4,3],[1,2,82],[1,3,51],[1,4,1],[2,3,69],[3,5,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(0,4)=3,(0,2)=7,(3,5)=50,(1,3)=51,(2,3)=69,(1,2)=82]\",\"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: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=3 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=1, Find(2)=2, Add (0,2)=7 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=50 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=51 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,20],[0,4,90],[1,2,57],[1,3,21],[1,4,16],[2,3,55],[2,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,20],[0,4,90],[1,2,57],[1,3,21],[1,4,16],[2,3,55],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,20],[0,4,90],[1,2,57],[1,3,21],[1,4,16],[2,3,55],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,20],[0,4,90],[1,2,57],[1,3,21],[1,4,16],[2,3,55],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16, w=16\",\"Add (0,3)=20, w=36\",\"Add (1,3)=21, w=57\",\"Add (2,4)=21, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,20],[0,4,90],[1,2,57],[1,3,21],[1,4,16],[2,3,55],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16 Succeeded, w=16\",\"Add (0,3)=20 Succeeded, w=36\",\"Add (1,3)=21 Succeeded, w=57\",\"Add (2,4)=21 Succeeded, w=78\",\"Add (2,3)=55 Failed, w=78\",\"Add (1,2)=57 Failed, w=78\",\"Add (0,4)=90 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,20],[0,4,90],[1,2,57],[1,3,21],[1,4,16],[2,3,55],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(0,3)=20,(1,3)=21,(2,4)=21,(2,3)=55,(1,2)=57,(0,4)=90]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=36\",\"Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=57\",\"Find(2)=2, Find(4)=1, Add (2,4)=21 Succeeded, w=78\",\"Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=78\",\"Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=78\",\"Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,20],[0,4,90],[1,2,57],[1,3,21],[1,4,16],[2,3,55],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(0,3)=20,(1,3)=21,(2,4)=21,(2,3)=55,(1,2)=57,(0,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=21 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,99],[0,2,92],[1,3,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,92],[1,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,92],[1,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,92],[1,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,2)=92, w=93\",\"Add (0,1)=99, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,92],[1,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,2)=92 Succeeded, w=93\",\"Add (0,1)=99 Succeeded, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,92],[1,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,2)=92,(0,1)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=92 Succeeded, w=93\",\"Find(0)=0, Find(1)=1, Add (0,1)=99 Succeeded, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,99],[0,2,92],[1,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,2)=92,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=92 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=99 Succeeded, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,63],[0,2,11],[0,3,89],[0,4,21],[0,6,58],[0,7,39],[1,2,11],[1,3,35],[1,4,82],[1,5,88],[1,6,11],[1,7,34],[2,3,60],[2,4,14],[2,5,32],[2,6,82],[2,7,84],[3,4,44],[3,5,74],[3,6,81],[3,7,96],[4,5,55],[4,6,30],[4,7,34],[5,6,38],[6,7,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,11],[0,3,89],[0,4,21],[0,6,58],[0,7,39],[1,2,11],[1,3,35],[1,4,82],[1,5,88],[1,6,11],[1,7,34],[2,3,60],[2,4,14],[2,5,32],[2,6,82],[2,7,84],[3,4,44],[3,5,74],[3,6,81],[3,7,96],[4,5,55],[4,6,30],[4,7,34],[5,6,38],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,11],[0,3,89],[0,4,21],[0,6,58],[0,7,39],[1,2,11],[1,3,35],[1,4,82],[1,5,88],[1,6,11],[1,7,34],[2,3,60],[2,4,14],[2,5,32],[2,6,82],[2,7,84],[3,4,44],[3,5,74],[3,6,81],[3,7,96],[4,5,55],[4,6,30],[4,7,34],[5,6,38],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (6,7)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,11],[0,3,89],[0,4,21],[0,6,58],[0,7,39],[1,2,11],[1,3,35],[1,4,82],[1,5,88],[1,6,11],[1,7,34],[2,3,60],[2,4,14],[2,5,32],[2,6,82],[2,7,84],[3,4,44],[3,5,74],[3,6,81],[3,7,96],[4,5,55],[4,6,30],[4,7,34],[5,6,38],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (1,2)=11, w=22\",\"Add (1,6)=11, w=33\",\"Add (2,4)=14, w=47\",\"Add (6,7)=14, w=61\",\"Add (2,5)=32, w=93\",\"Add (1,3)=35, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,11],[0,3,89],[0,4,21],[0,6,58],[0,7,39],[1,2,11],[1,3,35],[1,4,82],[1,5,88],[1,6,11],[1,7,34],[2,3,60],[2,4,14],[2,5,32],[2,6,82],[2,7,84],[3,4,44],[3,5,74],[3,6,81],[3,7,96],[4,5,55],[4,6,30],[4,7,34],[5,6,38],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (1,2)=11 Succeeded, w=22\",\"Add (1,6)=11 Succeeded, w=33\",\"Add (2,4)=14 Succeeded, w=47\",\"Add (6,7)=14 Succeeded, w=61\",\"Add (0,4)=21 Failed, w=61\",\"Add (4,6)=30 Failed, w=61\",\"Add (2,5)=32 Succeeded, w=93\",\"Add (1,7)=34 Failed, w=93\",\"Add (4,7)=34 Failed, w=93\",\"Add (1,3)=35 Succeeded, w=128\",\"Add (5,6)=38 Failed, w=128\",\"Add (0,7)=39 Failed, w=128\",\"Add (3,4)=44 Failed, w=128\",\"Add (4,5)=55 Failed, w=128\",\"Add (0,6)=58 Failed, w=128\",\"Add (2,3)=60 Failed, w=128\",\"Add (0,1)=63 Failed, w=128\",\"Add (3,5)=74 Failed, w=128\",\"Add (3,6)=81 Failed, w=128\",\"Add (1,4)=82 Failed, w=128\",\"Add (2,6)=82 Failed, w=128\",\"Add (2,7)=84 Failed, w=128\",\"Add (1,5)=88 Failed, w=128\",\"Add (0,3)=89 Failed, w=128\",\"Add (3,7)=96 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,11],[0,3,89],[0,4,21],[0,6,58],[0,7,39],[1,2,11],[1,3,35],[1,4,82],[1,5,88],[1,6,11],[1,7,34],[2,3,60],[2,4,14],[2,5,32],[2,6,82],[2,7,84],[3,4,44],[3,5,74],[3,6,81],[3,7,96],[4,5,55],[4,6,30],[4,7,34],[5,6,38],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(1,2)=11,(1,6)=11,(2,4)=14,(6,7)=14,(0,4)=21,(4,6)=30,(2,5)=32,(1,7)=34,(4,7)=34,(1,3)=35,(5,6)=38,(0,7)=39,(3,4)=44,(4,5)=55,(0,6)=58,(2,3)=60,(0,1)=63,(3,5)=74,(3,6)=81,(1,4)=82,(2,6)=82,(2,7)=84,(1,5)=88,(0,3)=89,(3,7)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=22\",\"Find(1)=0, Find(6)=6, Add (1,6)=11 Succeeded, w=33\",\"Find(2)=0, Find(4)=4, Add (2,4)=14 Succeeded, w=47\",\"Find(6)=0, Find(7)=7, Add (6,7)=14 Succeeded, w=61\",\"Find(0)=0, Find(4)=0, Add (0,4)=21 Failed, w=61\",\"Find(4)=0, Find(6)=0, Add (4,6)=30 Failed, w=61\",\"Find(2)=0, Find(5)=5, Add (2,5)=32 Succeeded, w=93\",\"Find(1)=0, Find(7)=0, Add (1,7)=34 Failed, w=93\",\"Find(4)=0, Find(7)=0, Add (4,7)=34 Failed, w=93\",\"Find(1)=0, Find(3)=3, Add (1,3)=35 Succeeded, w=128\",\"Find(5)=0, Find(6)=0, Add (5,6)=38 Failed, w=128\",\"Find(0)=0, Find(7)=0, Add (0,7)=39 Failed, w=128\",\"Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=128\",\"Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=128\",\"Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=128\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=128\",\"Find(0)=0, Find(1)=0, Add (0,1)=63 Failed, w=128\",\"Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=128\",\"Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=128\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=128\",\"Find(2)=0, Find(6)=0, Add (2,6)=82 Failed, w=128\",\"Find(2)=0, Find(7)=0, Add (2,7)=84 Failed, w=128\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=128\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=128\",\"Find(3)=0, Find(7)=0, Add (3,7)=96 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,63],[0,2,11],[0,3,89],[0,4,21],[0,6,58],[0,7,39],[1,2,11],[1,3,35],[1,4,82],[1,5,88],[1,6,11],[1,7,34],[2,3,60],[2,4,14],[2,5,32],[2,6,82],[2,7,84],[3,4,44],[3,5,74],[3,6,81],[3,7,96],[4,5,55],[4,6,30],[4,7,34],[5,6,38],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(1,2)=11,(1,6)=11,(2,4)=14,(6,7)=14,(0,4)=21,(4,6)=30,(2,5)=32,(1,7)=34,(4,7)=34,(1,3)=35,(5,6)=38,(0,7)=39,(3,4)=44,(4,5)=55,(0,6)=58,(2,3)=60,(0,1)=63,(3,5)=74,(3,6)=81,(1,4)=82,(2,6)=82,(2,7)=84,(1,5)=88,(0,3)=89,(3,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=0, Find(6)=6, Add (1,6)=11 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=14 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=14 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=21 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=30 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=32 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=34 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=34 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=3, Add (1,3)=35 Succeeded, w=128\",\"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)=38 Failed, w=128\",\"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=128\",\"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)=44 Failed, w=128\",\"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)=55 Failed, w=128\",\"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)=58 Failed, w=128\",\"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)=60 Failed, w=128\",\"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)=63 Failed, w=128\",\"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)=74 Failed, w=128\",\"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)=81 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=128\",\"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)=82 Failed, w=128\",\"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)=84 Failed, w=128\",\"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)=88 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=128\",\"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)=96 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
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