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
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| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,92],[0,3,41],[0,4,67],[1,2,29],[1,3,11],[1,4,98],[2,3,98],[2,4,80],[3,4,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,41],[0,4,67],[1,2,29],[1,3,11],[1,4,98],[2,3,98],[2,4,80],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,41],[0,4,67],[1,2,29],[1,3,11],[1,4,98],[2,3,98],[2,4,80],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,41],[0,4,67],[1,2,29],[1,3,11],[1,4,98],[2,3,98],[2,4,80],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (1,2)=29, w=40\",\"Add (0,3)=41, w=81\",\"Add (0,4)=67, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,41],[0,4,67],[1,2,29],[1,3,11],[1,4,98],[2,3,98],[2,4,80],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (1,2)=29 Succeeded, w=40\",\"Add (0,3)=41 Succeeded, w=81\",\"Add (0,4)=67 Succeeded, w=148\",\"Add (2,4)=80 Failed, w=148\",\"Add (0,1)=92 Failed, w=148\",\"Add (1,4)=98 Failed, w=148\",\"Add (2,3)=98 Failed, w=148\",\"Add (3,4)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,41],[0,4,67],[1,2,29],[1,3,11],[1,4,98],[2,3,98],[2,4,80],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(1,2)=29,(0,3)=41,(0,4)=67,(2,4)=80,(0,1)=92,(1,4)=98,(2,3)=98,(3,4)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=40\",\"Find(0)=0, Find(3)=1, Add (0,3)=41 Succeeded, w=81\",\"Find(0)=1, Find(4)=4, Add (0,4)=67 Succeeded, w=148\",\"Find(2)=1, Find(4)=1, Add (2,4)=80 Failed, w=148\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=148\",\"Find(1)=1, Find(4)=1, Add (1,4)=98 Failed, w=148\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=148\",\"Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,41],[0,4,67],[1,2,29],[1,3,11],[1,4,98],[2,3,98],[2,4,80],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(1,2)=29,(0,3)=41,(0,4)=67,(2,4)=80,(0,1)=92,(1,4)=98,(2,3)=98,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=41 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=67 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=80 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=98 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,28],[0,3,87],[0,4,48],[0,5,88],[1,2,78],[1,3,69],[1,4,19],[1,5,44],[2,3,37],[2,4,86],[2,5,87],[3,4,20],[3,5,55],[4,5,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,28],[0,3,87],[0,4,48],[0,5,88],[1,2,78],[1,3,69],[1,4,19],[1,5,44],[2,3,37],[2,4,86],[2,5,87],[3,4,20],[3,5,55],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,28],[0,3,87],[0,4,48],[0,5,88],[1,2,78],[1,3,69],[1,4,19],[1,5,44],[2,3,37],[2,4,86],[2,5,87],[3,4,20],[3,5,55],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,28],[0,3,87],[0,4,48],[0,5,88],[1,2,78],[1,3,69],[1,4,19],[1,5,44],[2,3,37],[2,4,86],[2,5,87],[3,4,20],[3,5,55],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=19, w=19\",\"Add (3,4)=20, w=39\",\"Add (0,2)=28, w=67\",\"Add (2,3)=37, w=104\",\"Add (1,5)=44, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,28],[0,3,87],[0,4,48],[0,5,88],[1,2,78],[1,3,69],[1,4,19],[1,5,44],[2,3,37],[2,4,86],[2,5,87],[3,4,20],[3,5,55],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=19 Succeeded, w=19\",\"Add (3,4)=20 Succeeded, w=39\",\"Add (0,2)=28 Succeeded, w=67\",\"Add (2,3)=37 Succeeded, w=104\",\"Add (1,5)=44 Succeeded, w=148\",\"Add (0,4)=48 Failed, w=148\",\"Add (3,5)=55 Failed, w=148\",\"Add (1,3)=69 Failed, w=148\",\"Add (4,5)=75 Failed, w=148\",\"Add (1,2)=78 Failed, w=148\",\"Add (2,4)=86 Failed, w=148\",\"Add (0,3)=87 Failed, w=148\",\"Add (2,5)=87 Failed, w=148\",\"Add (0,5)=88 Failed, w=148\",\"Add (0,1)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,28],[0,3,87],[0,4,48],[0,5,88],[1,2,78],[1,3,69],[1,4,19],[1,5,44],[2,3,37],[2,4,86],[2,5,87],[3,4,20],[3,5,55],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=19,(3,4)=20,(0,2)=28,(2,3)=37,(1,5)=44,(0,4)=48,(3,5)=55,(1,3)=69,(4,5)=75,(1,2)=78,(2,4)=86,(0,3)=87,(2,5)=87,(0,5)=88,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=19\",\"Find(3)=3, Find(4)=1, Add (3,4)=20 Succeeded, w=39\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=67\",\"Find(2)=0, Find(3)=1, Add (2,3)=37 Succeeded, w=104\",\"Find(1)=0, Find(5)=5, Add (1,5)=44 Succeeded, w=148\",\"Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=148\",\"Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=148\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=148\",\"Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=148\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=148\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=148\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=148\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=148\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=148\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,28],[0,3,87],[0,4,48],[0,5,88],[1,2,78],[1,3,69],[1,4,19],[1,5,44],[2,3,37],[2,4,86],[2,5,87],[3,4,20],[3,5,55],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=19,(3,4)=20,(0,2)=28,(2,3)=37,(1,5)=44,(0,4)=48,(3,5)=55,(1,3)=69,(4,5)=75,(1,2)=78,(2,4)=86,(0,3)=87,(2,5)=87,(0,5)=88,(0,1)=98]\",\"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: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=20 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 5}, Find(2)=0, Find(3)=1, Add (2,3)=37 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=44 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,2,89],[0,3,96],[1,2,69],[1,3,10],[2,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,89],[0,3,96],[1,2,69],[1,3,10],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,89],[0,3,96],[1,2,69],[1,3,10],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,89],[0,3,96],[1,2,69],[1,3,10],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (0,1)=50, w=60\",\"Add (1,2)=69, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,89],[0,3,96],[1,2,69],[1,3,10],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (0,1)=50 Succeeded, w=60\",\"Add (1,2)=69 Succeeded, w=129\",\"Add (2,3)=87 Failed, w=129\",\"Add (0,2)=89 Failed, w=129\",\"Add (0,3)=96 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,89],[0,3,96],[1,2,69],[1,3,10],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,1)=50,(1,2)=69,(2,3)=87,(0,2)=89,(0,3)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=69 Succeeded, w=129\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=129\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=129\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,2,89],[0,3,96],[1,2,69],[1,3,10],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,1)=50,(1,2)=69,(2,3)=87,(0,2)=89,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=69 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,33],[0,3,91],[1,2,88],[1,3,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,3,91],[1,2,88],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,3,91],[1,2,88],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,3,91],[1,2,88],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,1)=33, w=33\",\"Add (1,2)=88, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,3,91],[1,2,88],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,1)=33 Succeeded, w=33\",\"Add (1,2)=88 Succeeded, w=121\",\"Add (0,3)=91 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,3,91],[1,2,88],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=33,(1,2)=88,(0,3)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=33\",\"Find(1)=1, Find(2)=2, Add (1,2)=88 Succeeded, w=121\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,3,91],[1,2,88],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=33,(1,2)=88,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=88 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,7],[0,2,53],[0,4,77],[1,2,60],[1,4,76],[1,5,23],[2,3,46],[2,4,44],[3,4,24],[4,5,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,53],[0,4,77],[1,2,60],[1,4,76],[1,5,23],[2,3,46],[2,4,44],[3,4,24],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,53],[0,4,77],[1,2,60],[1,4,76],[1,5,23],[2,3,46],[2,4,44],[3,4,24],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,53],[0,4,77],[1,2,60],[1,4,76],[1,5,23],[2,3,46],[2,4,44],[3,4,24],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (1,5)=23, w=30\",\"Add (3,4)=24, w=54\",\"Add (2,4)=44, w=98\",\"Add (0,2)=53, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,53],[0,4,77],[1,2,60],[1,4,76],[1,5,23],[2,3,46],[2,4,44],[3,4,24],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (1,5)=23 Succeeded, w=30\",\"Add (3,4)=24 Succeeded, w=54\",\"Add (2,4)=44 Succeeded, w=98\",\"Add (2,3)=46 Failed, w=98\",\"Add (0,2)=53 Succeeded, w=151\",\"Add (1,2)=60 Failed, w=151\",\"Add (4,5)=68 Failed, w=151\",\"Add (1,4)=76 Failed, w=151\",\"Add (0,4)=77 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,53],[0,4,77],[1,2,60],[1,4,76],[1,5,23],[2,3,46],[2,4,44],[3,4,24],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(1,5)=23,(3,4)=24,(2,4)=44,(2,3)=46,(0,2)=53,(1,2)=60,(4,5)=68,(1,4)=76,(0,4)=77]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(1)=0, Find(5)=5, Add (1,5)=23 Succeeded, w=30\",\"Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=54\",\"Find(2)=2, Find(4)=3, Add (2,4)=44 Succeeded, w=98\",\"Find(2)=3, Find(3)=3, Add (2,3)=46 Failed, w=98\",\"Find(0)=0, Find(2)=3, Add (0,2)=53 Succeeded, w=151\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=151\",\"Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=151\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=151\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,53],[0,4,77],[1,2,60],[1,4,76],[1,5,23],[2,3,46],[2,4,44],[3,4,24],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(1,5)=23,(3,4)=24,(2,4)=44,(2,3)=46,(0,2)=53,(1,2)=60,(4,5)=68,(1,4)=76,(0,4)=77]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=23 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=2, Find(4)=3, Add (2,4)=44 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=3, Find(3)=3, Add (2,3)=46 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(2)=3, Add (0,2)=53 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,20],[0,3,54],[0,4,47],[0,5,58],[1,2,0],[1,4,39],[1,5,40],[2,4,79],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,54],[0,4,47],[0,5,58],[1,2,0],[1,4,39],[1,5,40],[2,4,79],[4,5,80]]}",
"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],\"edges\":[[0,2,20],[0,3,54],[0,4,47],[0,5,58],[1,2,0],[1,4,39],[1,5,40],[2,4,79],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (0,3)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,54],[0,4,47],[0,5,58],[1,2,0],[1,4,39],[1,5,40],[2,4,79],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,2)=20, w=20\",\"Add (1,4)=39, w=59\",\"Add (1,5)=40, w=99\",\"Add (0,3)=54, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,54],[0,4,47],[0,5,58],[1,2,0],[1,4,39],[1,5,40],[2,4,79],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,2)=20 Succeeded, w=20\",\"Add (1,4)=39 Succeeded, w=59\",\"Add (1,5)=40 Succeeded, w=99\",\"Add (0,4)=47 Failed, w=99\",\"Add (0,3)=54 Succeeded, w=153\",\"Add (0,5)=58 Failed, w=153\",\"Add (2,4)=79 Failed, w=153\",\"Add (4,5)=80 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],\"edges\":[[0,2,20],[0,3,54],[0,4,47],[0,5,58],[1,2,0],[1,4,39],[1,5,40],[2,4,79],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,2)=20,(1,4)=39,(1,5)=40,(0,4)=47,(0,3)=54,(0,5)=58,(2,4)=79,(4,5)=80]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=20\",\"Find(1)=1, Find(4)=4, Add (1,4)=39 Succeeded, w=59\",\"Find(1)=1, Find(5)=5, Add (1,5)=40 Succeeded, w=99\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=99\",\"Find(0)=1, Find(3)=3, Add (0,3)=54 Succeeded, w=153\",\"Find(0)=1, Find(5)=1, Add (0,5)=58 Failed, w=153\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=153\",\"Find(4)=1, Find(5)=1, Add (4,5)=80 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],\"edges\":[[0,2,20],[0,3,54],[0,4,47],[0,5,58],[1,2,0],[1,4,39],[1,5,40],[2,4,79],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,2)=20,(1,4)=39,(1,5)=40,(0,4)=47,(0,3)=54,(0,5)=58,(2,4)=79,(4,5)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=39 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=40 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=3, Add (0,3)=54 Succeeded, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=58 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,12],[0,2,33],[0,3,56],[1,2,52],[1,3,16],[2,3,99],[2,4,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,33],[0,3,56],[1,2,52],[1,3,16],[2,3,99],[2,4,36]]}",
"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\":[[0,1,12],[0,2,33],[0,3,56],[1,2,52],[1,3,16],[2,3,99],[2,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,33],[0,3,56],[1,2,52],[1,3,16],[2,3,99],[2,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (1,3)=16, w=28\",\"Add (0,2)=33, w=61\",\"Add (2,4)=36, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,33],[0,3,56],[1,2,52],[1,3,16],[2,3,99],[2,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (1,3)=16 Succeeded, w=28\",\"Add (0,2)=33 Succeeded, w=61\",\"Add (2,4)=36 Succeeded, w=97\",\"Add (1,2)=52 Failed, w=97\",\"Add (0,3)=56 Failed, w=97\",\"Add (2,3)=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],\"edges\":[[0,1,12],[0,2,33],[0,3,56],[1,2,52],[1,3,16],[2,3,99],[2,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(1,3)=16,(0,2)=33,(2,4)=36,(1,2)=52,(0,3)=56,(2,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(1)=0, Find(3)=3, Add (1,3)=16 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=61\",\"Find(2)=0, Find(4)=4, Add (2,4)=36 Succeeded, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=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],\"edges\":[[0,1,12],[0,2,33],[0,3,56],[1,2,52],[1,3,16],[2,3,99],[2,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(1,3)=16,(0,2)=33,(2,4)=36,(1,2)=52,(0,3)=56,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=36 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,36],[0,4,9],[1,2,99],[1,3,34],[1,4,62],[2,4,19],[3,4,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,36],[0,4,9],[1,2,99],[1,3,34],[1,4,62],[2,4,19],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,36],[0,4,9],[1,2,99],[1,3,34],[1,4,62],[2,4,19],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,36],[0,4,9],[1,2,99],[1,3,34],[1,4,62],[2,4,19],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (2,4)=19, w=28\",\"Add (1,3)=34, w=62\",\"Add (0,3)=36, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,36],[0,4,9],[1,2,99],[1,3,34],[1,4,62],[2,4,19],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (2,4)=19 Succeeded, w=28\",\"Add (1,3)=34 Succeeded, w=62\",\"Add (0,3)=36 Succeeded, w=98\",\"Add (3,4)=61 Failed, w=98\",\"Add (1,4)=62 Failed, w=98\",\"Add (1,2)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,36],[0,4,9],[1,2,99],[1,3,34],[1,4,62],[2,4,19],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(2,4)=19,(1,3)=34,(0,3)=36,(3,4)=61,(1,4)=62,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=0, Add (2,4)=19 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=62\",\"Find(0)=0, Find(3)=1, Add (0,3)=36 Succeeded, w=98\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=98\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,36],[0,4,9],[1,2,99],[1,3,34],[1,4,62],[2,4,19],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(2,4)=19,(1,3)=34,(0,3)=36,(3,4)=61,(1,4)=62,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=19 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=36 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,92],[0,2,48],[0,4,76],[0,5,40],[1,2,54],[1,3,24],[1,5,49],[2,3,52],[2,4,67],[2,5,22],[3,4,70],[3,5,58],[4,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,48],[0,4,76],[0,5,40],[1,2,54],[1,3,24],[1,5,49],[2,3,52],[2,4,67],[2,5,22],[3,4,70],[3,5,58],[4,5,5]]}",
"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\":[[0,1,92],[0,2,48],[0,4,76],[0,5,40],[1,2,54],[1,3,24],[1,5,49],[2,3,52],[2,4,67],[2,5,22],[3,4,70],[3,5,58],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,48],[0,4,76],[0,5,40],[1,2,54],[1,3,24],[1,5,49],[2,3,52],[2,4,67],[2,5,22],[3,4,70],[3,5,58],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5, w=5\",\"Add (2,5)=22, w=27\",\"Add (1,3)=24, w=51\",\"Add (0,5)=40, w=91\",\"Add (1,5)=49, 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\":[[0,1,92],[0,2,48],[0,4,76],[0,5,40],[1,2,54],[1,3,24],[1,5,49],[2,3,52],[2,4,67],[2,5,22],[3,4,70],[3,5,58],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5 Succeeded, w=5\",\"Add (2,5)=22 Succeeded, w=27\",\"Add (1,3)=24 Succeeded, w=51\",\"Add (0,5)=40 Succeeded, w=91\",\"Add (0,2)=48 Failed, w=91\",\"Add (1,5)=49 Succeeded, w=140\",\"Add (2,3)=52 Failed, w=140\",\"Add (1,2)=54 Failed, w=140\",\"Add (3,5)=58 Failed, w=140\",\"Add (2,4)=67 Failed, w=140\",\"Add (3,4)=70 Failed, w=140\",\"Add (0,4)=76 Failed, w=140\",\"Add (0,1)=92 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\":[[0,1,92],[0,2,48],[0,4,76],[0,5,40],[1,2,54],[1,3,24],[1,5,49],[2,3,52],[2,4,67],[2,5,22],[3,4,70],[3,5,58],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(2,5)=22,(1,3)=24,(0,5)=40,(0,2)=48,(1,5)=49,(2,3)=52,(1,2)=54,(3,5)=58,(2,4)=67,(3,4)=70,(0,4)=76,(0,1)=92]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=4, Add (2,5)=22 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=51\",\"Find(0)=0, Find(5)=4, Add (0,5)=40 Succeeded, w=91\",\"Find(0)=4, Find(2)=4, Add (0,2)=48 Failed, w=91\",\"Find(1)=1, Find(5)=4, Add (1,5)=49 Succeeded, w=140\",\"Find(2)=1, Find(3)=1, Add (2,3)=52 Failed, w=140\",\"Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=140\",\"Find(3)=1, Find(5)=1, Add (3,5)=58 Failed, w=140\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=140\",\"Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=140\",\"Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=140\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 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\":[[0,1,92],[0,2,48],[0,4,76],[0,5,40],[1,2,54],[1,3,24],[1,5,49],[2,3,52],[2,4,67],[2,5,22],[3,4,70],[3,5,58],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(2,5)=22,(1,3)=24,(0,5)=40,(0,2)=48,(1,5)=49,(2,3)=52,(1,2)=54,(3,5)=58,(2,4)=67,(3,4)=70,(0,4)=76,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=22 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=51\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=40 Succeeded, w=91\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=48 Failed, w=91\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=49 Succeeded, w=140\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(3)=1, Add (2,3)=52 Failed, w=140\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=140\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=58 Failed, w=140\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=140\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,13],[0,2,65],[0,6,96],[1,2,5],[1,4,10],[1,5,60],[1,6,37],[1,7,97],[2,3,11],[2,4,4],[2,5,30],[2,6,86],[4,6,0],[5,7,45],[6,7,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,65],[0,6,96],[1,2,5],[1,4,10],[1,5,60],[1,6,37],[1,7,97],[2,3,11],[2,4,4],[2,5,30],[2,6,86],[4,6,0],[5,7,45],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,65],[0,6,96],[1,2,5],[1,4,10],[1,5,60],[1,6,37],[1,7,97],[2,3,11],[2,4,4],[2,5,30],[2,6,86],[4,6,0],[5,7,45],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (5,7)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,65],[0,6,96],[1,2,5],[1,4,10],[1,5,60],[1,6,37],[1,7,97],[2,3,11],[2,4,4],[2,5,30],[2,6,86],[4,6,0],[5,7,45],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0, w=0\",\"Add (2,4)=4, w=4\",\"Add (1,2)=5, w=9\",\"Add (2,3)=11, w=20\",\"Add (0,1)=13, w=33\",\"Add (2,5)=30, w=63\",\"Add (5,7)=45, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,65],[0,6,96],[1,2,5],[1,4,10],[1,5,60],[1,6,37],[1,7,97],[2,3,11],[2,4,4],[2,5,30],[2,6,86],[4,6,0],[5,7,45],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0 Succeeded, w=0\",\"Add (2,4)=4 Succeeded, w=4\",\"Add (1,2)=5 Succeeded, w=9\",\"Add (1,4)=10 Failed, w=9\",\"Add (2,3)=11 Succeeded, w=20\",\"Add (0,1)=13 Succeeded, w=33\",\"Add (2,5)=30 Succeeded, w=63\",\"Add (1,6)=37 Failed, w=63\",\"Add (5,7)=45 Succeeded, w=108\",\"Add (1,5)=60 Failed, w=108\",\"Add (0,2)=65 Failed, w=108\",\"Add (2,6)=86 Failed, w=108\",\"Add (6,7)=95 Failed, w=108\",\"Add (0,6)=96 Failed, w=108\",\"Add (1,7)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,65],[0,6,96],[1,2,5],[1,4,10],[1,5,60],[1,6,37],[1,7,97],[2,3,11],[2,4,4],[2,5,30],[2,6,86],[4,6,0],[5,7,45],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(2,4)=4,(1,2)=5,(1,4)=10,(2,3)=11,(0,1)=13,(2,5)=30,(1,6)=37,(5,7)=45,(1,5)=60,(0,2)=65,(2,6)=86,(6,7)=95,(0,6)=96,(1,7)=97]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=4, Add (1,2)=5 Succeeded, w=9\",\"Find(1)=4, Find(4)=4, Add (1,4)=10 Failed, w=9\",\"Find(2)=4, Find(3)=3, Add (2,3)=11 Succeeded, w=20\",\"Find(0)=0, Find(1)=4, Add (0,1)=13 Succeeded, w=33\",\"Find(2)=4, Find(5)=5, Add (2,5)=30 Succeeded, w=63\",\"Find(1)=4, Find(6)=4, Add (1,6)=37 Failed, w=63\",\"Find(5)=4, Find(7)=7, Add (5,7)=45 Succeeded, w=108\",\"Find(1)=4, Find(5)=4, Add (1,5)=60 Failed, w=108\",\"Find(0)=4, Find(2)=4, Add (0,2)=65 Failed, w=108\",\"Find(2)=4, Find(6)=4, Add (2,6)=86 Failed, w=108\",\"Find(6)=4, Find(7)=4, Add (6,7)=95 Failed, w=108\",\"Find(0)=4, Find(6)=4, Add (0,6)=96 Failed, w=108\",\"Find(1)=4, Find(7)=4, Add (1,7)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,2,65],[0,6,96],[1,2,5],[1,4,10],[1,5,60],[1,6,37],[1,7,97],[2,3,11],[2,4,4],[2,5,30],[2,6,86],[4,6,0],[5,7,45],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(2,4)=4,(1,2)=5,(1,4)=10,(2,3)=11,(0,1)=13,(2,5)=30,(1,6)=37,(5,7)=45,(1,5)=60,(0,2)=65,(2,6)=86,(6,7)=95,(0,6)=96,(1,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(2)=4, Add (1,2)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=4, Find(4)=4, Add (1,4)=10 Failed, w=9\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(2)=4, Find(3)=3, Add (2,3)=11 Succeeded, w=20\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(0)=0, Find(1)=4, Add (0,1)=13 Succeeded, w=33\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=4, Find(5)=5, Add (2,5)=30 Succeeded, w=63\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=4, Find(6)=4, Add (1,6)=37 Failed, w=63\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=45 Succeeded, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=60 Failed, w=108\",\"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)=65 Failed, w=108\",\"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)=86 Failed, w=108\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=95 Failed, w=108\",\"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)=96 Failed, w=108\",\"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)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,7],[0,2,13],[0,3,98],[1,2,76],[1,3,5],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,13],[0,3,98],[1,2,76],[1,3,5],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,13],[0,3,98],[1,2,76],[1,3,5],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,13],[0,3,98],[1,2,76],[1,3,5],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (0,1)=7, w=12\",\"Add (0,2)=13, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,13],[0,3,98],[1,2,76],[1,3,5],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (0,1)=7 Succeeded, w=12\",\"Add (0,2)=13 Succeeded, w=25\",\"Add (2,3)=45 Failed, w=25\",\"Add (1,2)=76 Failed, w=25\",\"Add (0,3)=98 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,13],[0,3,98],[1,2,76],[1,3,5],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,1)=7,(0,2)=13,(2,3)=45,(1,2)=76,(0,3)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=12\",\"Find(0)=1, Find(2)=2, Add (0,2)=13 Succeeded, w=25\",\"Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=25\",\"Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=25\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,13],[0,3,98],[1,2,76],[1,3,5],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,1)=7,(0,2)=13,(2,3)=45,(1,2)=76,(0,3)=98]\",\"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(1)=1, Add (0,1)=7 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=13 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,61],[0,2,38],[0,3,7],[0,4,47],[0,5,38],[0,6,33],[0,7,88],[1,2,73],[1,3,94],[1,4,38],[1,5,44],[1,6,61],[1,7,84],[2,3,81],[2,4,47],[2,5,49],[2,6,93],[2,7,23],[3,5,39],[3,6,17],[3,7,82],[4,5,84],[4,6,40],[4,7,27],[5,6,81],[5,7,42],[6,7,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,38],[0,3,7],[0,4,47],[0,5,38],[0,6,33],[0,7,88],[1,2,73],[1,3,94],[1,4,38],[1,5,44],[1,6,61],[1,7,84],[2,3,81],[2,4,47],[2,5,49],[2,6,93],[2,7,23],[3,5,39],[3,6,17],[3,7,82],[4,5,84],[4,6,40],[4,7,27],[5,6,81],[5,7,42],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,38],[0,3,7],[0,4,47],[0,5,38],[0,6,33],[0,7,88],[1,2,73],[1,3,94],[1,4,38],[1,5,44],[1,6,61],[1,7,84],[2,3,81],[2,4,47],[2,5,49],[2,6,93],[2,7,23],[3,5,39],[3,6,17],[3,7,82],[4,5,84],[4,6,40],[4,7,27],[5,6,81],[5,7,42],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (6,7)\",\"Add (3,6)\",\"Add (2,7)\",\"Add (4,7)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,38],[0,3,7],[0,4,47],[0,5,38],[0,6,33],[0,7,88],[1,2,73],[1,3,94],[1,4,38],[1,5,44],[1,6,61],[1,7,84],[2,3,81],[2,4,47],[2,5,49],[2,6,93],[2,7,23],[3,5,39],[3,6,17],[3,7,82],[4,5,84],[4,6,40],[4,7,27],[5,6,81],[5,7,42],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (6,7)=12, w=19\",\"Add (3,6)=17, w=36\",\"Add (2,7)=23, w=59\",\"Add (4,7)=27, w=86\",\"Add (0,5)=38, w=124\",\"Add (1,4)=38, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,38],[0,3,7],[0,4,47],[0,5,38],[0,6,33],[0,7,88],[1,2,73],[1,3,94],[1,4,38],[1,5,44],[1,6,61],[1,7,84],[2,3,81],[2,4,47],[2,5,49],[2,6,93],[2,7,23],[3,5,39],[3,6,17],[3,7,82],[4,5,84],[4,6,40],[4,7,27],[5,6,81],[5,7,42],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (6,7)=12 Succeeded, w=19\",\"Add (3,6)=17 Succeeded, w=36\",\"Add (2,7)=23 Succeeded, w=59\",\"Add (4,7)=27 Succeeded, w=86\",\"Add (0,6)=33 Failed, w=86\",\"Add (0,2)=38 Failed, w=86\",\"Add (0,5)=38 Succeeded, w=124\",\"Add (1,4)=38 Succeeded, w=162\",\"Add (3,5)=39 Failed, w=162\",\"Add (4,6)=40 Failed, w=162\",\"Add (5,7)=42 Failed, w=162\",\"Add (1,5)=44 Failed, w=162\",\"Add (0,4)=47 Failed, w=162\",\"Add (2,4)=47 Failed, w=162\",\"Add (2,5)=49 Failed, w=162\",\"Add (0,1)=61 Failed, w=162\",\"Add (1,6)=61 Failed, w=162\",\"Add (1,2)=73 Failed, w=162\",\"Add (2,3)=81 Failed, w=162\",\"Add (5,6)=81 Failed, w=162\",\"Add (3,7)=82 Failed, w=162\",\"Add (1,7)=84 Failed, w=162\",\"Add (4,5)=84 Failed, w=162\",\"Add (0,7)=88 Failed, w=162\",\"Add (2,6)=93 Failed, w=162\",\"Add (1,3)=94 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,38],[0,3,7],[0,4,47],[0,5,38],[0,6,33],[0,7,88],[1,2,73],[1,3,94],[1,4,38],[1,5,44],[1,6,61],[1,7,84],[2,3,81],[2,4,47],[2,5,49],[2,6,93],[2,7,23],[3,5,39],[3,6,17],[3,7,82],[4,5,84],[4,6,40],[4,7,27],[5,6,81],[5,7,42],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(6,7)=12,(3,6)=17,(2,7)=23,(4,7)=27,(0,6)=33,(0,2)=38,(0,5)=38,(1,4)=38,(3,5)=39,(4,6)=40,(5,7)=42,(1,5)=44,(0,4)=47,(2,4)=47,(2,5)=49,(0,1)=61,(1,6)=61,(1,2)=73,(2,3)=81,(5,6)=81,(3,7)=82,(1,7)=84,(4,5)=84,(0,7)=88,(2,6)=93,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(6)=6, Find(7)=7, Add (6,7)=12 Succeeded, w=19\",\"Find(3)=0, Find(6)=6, Add (3,6)=17 Succeeded, w=36\",\"Find(2)=2, Find(7)=0, Add (2,7)=23 Succeeded, w=59\",\"Find(4)=4, Find(7)=0, Add (4,7)=27 Succeeded, w=86\",\"Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=86\",\"Find(0)=0, Find(2)=0, Add (0,2)=38 Failed, w=86\",\"Find(0)=0, Find(5)=5, Add (0,5)=38 Succeeded, w=124\",\"Find(1)=1, Find(4)=0, Add (1,4)=38 Succeeded, w=162\",\"Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=162\",\"Find(4)=0, Find(6)=0, Add (4,6)=40 Failed, w=162\",\"Find(5)=0, Find(7)=0, Add (5,7)=42 Failed, w=162\",\"Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=162\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=162\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=162\",\"Find(2)=0, Find(5)=0, Add (2,5)=49 Failed, w=162\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=162\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=162\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=162\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=162\",\"Find(5)=0, Find(6)=0, Add (5,6)=81 Failed, w=162\",\"Find(3)=0, Find(7)=0, Add (3,7)=82 Failed, w=162\",\"Find(1)=0, Find(7)=0, Add (1,7)=84 Failed, w=162\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=162\",\"Find(0)=0, Find(7)=0, Add (0,7)=88 Failed, w=162\",\"Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=162\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,38],[0,3,7],[0,4,47],[0,5,38],[0,6,33],[0,7,88],[1,2,73],[1,3,94],[1,4,38],[1,5,44],[1,6,61],[1,7,84],[2,3,81],[2,4,47],[2,5,49],[2,6,93],[2,7,23],[3,5,39],[3,6,17],[3,7,82],[4,5,84],[4,6,40],[4,7,27],[5,6,81],[5,7,42],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(6,7)=12,(3,6)=17,(2,7)=23,(4,7)=27,(0,6)=33,(0,2)=38,(0,5)=38,(1,4)=38,(3,5)=39,(4,6)=40,(5,7)=42,(1,5)=44,(0,4)=47,(2,4)=47,(2,5)=49,(0,1)=61,(1,6)=61,(1,2)=73,(2,3)=81,(5,6)=81,(3,7)=82,(1,7)=84,(4,5)=84,(0,7)=88,(2,6)=93,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 6}, Find(3)=0, Find(6)=6, Add (3,6)=17 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=23 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=27 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=38 Failed, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=38 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(4)=0, Add (1,4)=38 Succeeded, w=162\",\"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)=39 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=40 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=42 Failed, w=162\",\"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)=44 Failed, w=162\",\"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)=47 Failed, w=162\",\"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)=47 Failed, w=162\",\"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)=49 Failed, w=162\",\"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)=61 Failed, w=162\",\"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)=61 Failed, w=162\",\"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)=73 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=162\",\"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)=81 Failed, w=162\",\"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)=82 Failed, w=162\",\"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)=84 Failed, w=162\",\"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)=84 Failed, w=162\",\"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)=88 Failed, w=162\",\"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)=93 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,71],[0,4,34],[1,2,60],[1,3,2],[1,4,100],[2,3,16],[3,4,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,71],[0,4,34],[1,2,60],[1,3,2],[1,4,100],[2,3,16],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,71],[0,4,34],[1,2,60],[1,3,2],[1,4,100],[2,3,16],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,71],[0,4,34],[1,2,60],[1,3,2],[1,4,100],[2,3,16],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,3)=16, w=18\",\"Add (3,4)=16, w=34\",\"Add (0,4)=34, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,71],[0,4,34],[1,2,60],[1,3,2],[1,4,100],[2,3,16],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=16 Succeeded, w=18\",\"Add (3,4)=16 Succeeded, w=34\",\"Add (0,4)=34 Succeeded, w=68\",\"Add (1,2)=60 Failed, w=68\",\"Add (0,3)=71 Failed, w=68\",\"Add (1,4)=100 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,71],[0,4,34],[1,2,60],[1,3,2],[1,4,100],[2,3,16],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=16,(3,4)=16,(0,4)=34,(1,2)=60,(0,3)=71,(1,4)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=16 Succeeded, w=18\",\"Find(3)=1, Find(4)=4, Add (3,4)=16 Succeeded, w=34\",\"Find(0)=0, Find(4)=1, Add (0,4)=34 Succeeded, w=68\",\"Find(1)=1, Find(2)=1, Add (1,2)=60 Failed, w=68\",\"Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=68\",\"Find(1)=1, Find(4)=1, Add (1,4)=100 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,71],[0,4,34],[1,2,60],[1,3,2],[1,4,100],[2,3,16],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=16,(3,4)=16,(0,4)=34,(1,2)=60,(0,3)=71,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=16 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=16 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=34 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=60 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=100 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,3,56],[0,4,87],[2,3,72],[3,4,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,3,56],[0,4,87],[2,3,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,3,56],[0,4,87],[2,3,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,3,56],[0,4,87],[2,3,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (0,3)=56, w=72\",\"Add (2,3)=72, w=144\",\"Add (0,4)=87, w=231\"],\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,3,56],[0,4,87],[2,3,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (0,3)=56 Succeeded, w=72\",\"Add (2,3)=72 Succeeded, w=144\",\"Add (0,4)=87 Succeeded, w=231\",\"Add (3,4)=88 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,3,56],[0,4,87],[2,3,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(0,3)=56,(2,3)=72,(0,4)=87,(3,4)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=72\",\"Find(2)=2, Find(3)=0, Add (2,3)=72 Succeeded, w=144\",\"Find(0)=0, Find(4)=4, Add (0,4)=87 Succeeded, w=231\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,3,56],[0,4,87],[2,3,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(0,3)=56,(2,3)=72,(0,4)=87,(3,4)=88]\",\"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: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=72 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=87 Succeeded, w=231\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,55],[0,2,78],[0,3,29],[0,4,89],[0,5,3],[0,6,75],[1,2,31],[1,3,64],[1,4,64],[1,5,93],[1,6,46],[2,3,88],[2,4,25],[2,5,42],[3,5,17],[3,6,45],[4,5,44],[4,6,5],[5,6,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,78],[0,3,29],[0,4,89],[0,5,3],[0,6,75],[1,2,31],[1,3,64],[1,4,64],[1,5,93],[1,6,46],[2,3,88],[2,4,25],[2,5,42],[3,5,17],[3,6,45],[4,5,44],[4,6,5],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,78],[0,3,29],[0,4,89],[0,5,3],[0,6,75],[1,2,31],[1,3,64],[1,4,64],[1,5,93],[1,6,46],[2,3,88],[2,4,25],[2,5,42],[3,5,17],[3,6,45],[4,5,44],[4,6,5],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (2,5)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,78],[0,3,29],[0,4,89],[0,5,3],[0,6,75],[1,2,31],[1,3,64],[1,4,64],[1,5,93],[1,6,46],[2,3,88],[2,4,25],[2,5,42],[3,5,17],[3,6,45],[4,5,44],[4,6,5],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (4,6)=5, w=8\",\"Add (3,5)=17, w=25\",\"Add (2,4)=25, w=50\",\"Add (1,2)=31, w=81\",\"Add (2,5)=42, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,78],[0,3,29],[0,4,89],[0,5,3],[0,6,75],[1,2,31],[1,3,64],[1,4,64],[1,5,93],[1,6,46],[2,3,88],[2,4,25],[2,5,42],[3,5,17],[3,6,45],[4,5,44],[4,6,5],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (4,6)=5 Succeeded, w=8\",\"Add (3,5)=17 Succeeded, w=25\",\"Add (2,4)=25 Succeeded, w=50\",\"Add (0,3)=29 Failed, w=50\",\"Add (1,2)=31 Succeeded, w=81\",\"Add (2,5)=42 Succeeded, w=123\",\"Add (4,5)=44 Failed, w=123\",\"Add (3,6)=45 Failed, w=123\",\"Add (1,6)=46 Failed, w=123\",\"Add (0,1)=55 Failed, w=123\",\"Add (1,3)=64 Failed, w=123\",\"Add (1,4)=64 Failed, w=123\",\"Add (0,6)=75 Failed, w=123\",\"Add (0,2)=78 Failed, w=123\",\"Add (2,3)=88 Failed, w=123\",\"Add (0,4)=89 Failed, w=123\",\"Add (5,6)=90 Failed, w=123\",\"Add (1,5)=93 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,78],[0,3,29],[0,4,89],[0,5,3],[0,6,75],[1,2,31],[1,3,64],[1,4,64],[1,5,93],[1,6,46],[2,3,88],[2,4,25],[2,5,42],[3,5,17],[3,6,45],[4,5,44],[4,6,5],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(4,6)=5,(3,5)=17,(2,4)=25,(0,3)=29,(1,2)=31,(2,5)=42,(4,5)=44,(3,6)=45,(1,6)=46,(0,1)=55,(1,3)=64,(1,4)=64,(0,6)=75,(0,2)=78,(2,3)=88,(0,4)=89,(5,6)=90,(1,5)=93]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Find(3)=3, Find(5)=0, Add (3,5)=17 Succeeded, w=25\",\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=50\",\"Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=50\",\"Find(1)=1, Find(2)=4, Add (1,2)=31 Succeeded, w=81\",\"Find(2)=4, Find(5)=0, Add (2,5)=42 Succeeded, w=123\",\"Find(4)=4, Find(5)=4, Add (4,5)=44 Failed, w=123\",\"Find(3)=4, Find(6)=4, Add (3,6)=45 Failed, w=123\",\"Find(1)=4, Find(6)=4, Add (1,6)=46 Failed, w=123\",\"Find(0)=4, Find(1)=4, Add (0,1)=55 Failed, w=123\",\"Find(1)=4, Find(3)=4, Add (1,3)=64 Failed, w=123\",\"Find(1)=4, Find(4)=4, Add (1,4)=64 Failed, w=123\",\"Find(0)=4, Find(6)=4, Add (0,6)=75 Failed, w=123\",\"Find(0)=4, Find(2)=4, Add (0,2)=78 Failed, w=123\",\"Find(2)=4, Find(3)=4, Add (2,3)=88 Failed, w=123\",\"Find(0)=4, Find(4)=4, Add (0,4)=89 Failed, w=123\",\"Find(5)=4, Find(6)=4, Add (5,6)=90 Failed, w=123\",\"Find(1)=4, Find(5)=4, Add (1,5)=93 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,78],[0,3,29],[0,4,89],[0,5,3],[0,6,75],[1,2,31],[1,3,64],[1,4,64],[1,5,93],[1,6,46],[2,3,88],[2,4,25],[2,5,42],[3,5,17],[3,6,45],[4,5,44],[4,6,5],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(4,6)=5,(3,5)=17,(2,4)=25,(0,3)=29,(1,2)=31,(2,5)=42,(4,5)=44,(3,6)=45,(1,6)=46,(0,1)=55,(1,3)=64,(1,4)=64,(0,6)=75,(0,2)=78,(2,3)=88,(0,4)=89,(5,6)=90,(1,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 4}, Find(3)=3, Find(5)=0, Add (3,5)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 0, 6: 4}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=50\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(2)=4, Add (1,2)=31 Succeeded, w=81\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 0, 6: 4}, Find(2)=4, Find(5)=0, Add (2,5)=42 Succeeded, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=4, Add (4,5)=44 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=45 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=46 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=55 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=64 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=64 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=75 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=78 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=88 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=89 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=90 Failed, w=123\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=93 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,81],[0,2,54],[0,3,67],[0,5,34],[0,6,17],[1,2,74],[1,3,72],[1,4,12],[1,5,89],[1,6,20],[1,7,83],[2,3,76],[2,4,39],[2,5,48],[2,7,100],[3,4,61],[3,5,40],[3,6,29],[3,7,27],[4,5,30],[4,6,71],[4,7,59],[5,7,81],[6,7,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,54],[0,3,67],[0,5,34],[0,6,17],[1,2,74],[1,3,72],[1,4,12],[1,5,89],[1,6,20],[1,7,83],[2,3,76],[2,4,39],[2,5,48],[2,7,100],[3,4,61],[3,5,40],[3,6,29],[3,7,27],[4,5,30],[4,6,71],[4,7,59],[5,7,81],[6,7,55]]}",
"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\":[[0,1,81],[0,2,54],[0,3,67],[0,5,34],[0,6,17],[1,2,74],[1,3,72],[1,4,12],[1,5,89],[1,6,20],[1,7,83],[2,3,76],[2,4,39],[2,5,48],[2,7,100],[3,4,61],[3,5,40],[3,6,29],[3,7,27],[4,5,30],[4,6,71],[4,7,59],[5,7,81],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,6)\",\"Add (1,6)\",\"Add (3,7)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (2,4)\"],\"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\":[[0,1,81],[0,2,54],[0,3,67],[0,5,34],[0,6,17],[1,2,74],[1,3,72],[1,4,12],[1,5,89],[1,6,20],[1,7,83],[2,3,76],[2,4,39],[2,5,48],[2,7,100],[3,4,61],[3,5,40],[3,6,29],[3,7,27],[4,5,30],[4,6,71],[4,7,59],[5,7,81],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=12, w=12\",\"Add (0,6)=17, w=29\",\"Add (1,6)=20, w=49\",\"Add (3,7)=27, w=76\",\"Add (3,6)=29, w=105\",\"Add (4,5)=30, w=135\",\"Add (2,4)=39, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,54],[0,3,67],[0,5,34],[0,6,17],[1,2,74],[1,3,72],[1,4,12],[1,5,89],[1,6,20],[1,7,83],[2,3,76],[2,4,39],[2,5,48],[2,7,100],[3,4,61],[3,5,40],[3,6,29],[3,7,27],[4,5,30],[4,6,71],[4,7,59],[5,7,81],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=12 Succeeded, w=12\",\"Add (0,6)=17 Succeeded, w=29\",\"Add (1,6)=20 Succeeded, w=49\",\"Add (3,7)=27 Succeeded, w=76\",\"Add (3,6)=29 Succeeded, w=105\",\"Add (4,5)=30 Succeeded, w=135\",\"Add (0,5)=34 Failed, w=135\",\"Add (2,4)=39 Succeeded, w=174\",\"Add (3,5)=40 Failed, w=174\",\"Add (2,5)=48 Failed, w=174\",\"Add (0,2)=54 Failed, w=174\",\"Add (6,7)=55 Failed, w=174\",\"Add (4,7)=59 Failed, w=174\",\"Add (3,4)=61 Failed, w=174\",\"Add (0,3)=67 Failed, w=174\",\"Add (4,6)=71 Failed, w=174\",\"Add (1,3)=72 Failed, w=174\",\"Add (1,2)=74 Failed, w=174\",\"Add (2,3)=76 Failed, w=174\",\"Add (0,1)=81 Failed, w=174\",\"Add (5,7)=81 Failed, w=174\",\"Add (1,7)=83 Failed, w=174\",\"Add (1,5)=89 Failed, w=174\",\"Add (2,7)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,54],[0,3,67],[0,5,34],[0,6,17],[1,2,74],[1,3,72],[1,4,12],[1,5,89],[1,6,20],[1,7,83],[2,3,76],[2,4,39],[2,5,48],[2,7,100],[3,4,61],[3,5,40],[3,6,29],[3,7,27],[4,5,30],[4,6,71],[4,7,59],[5,7,81],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=12,(0,6)=17,(1,6)=20,(3,7)=27,(3,6)=29,(4,5)=30,(0,5)=34,(2,4)=39,(3,5)=40,(2,5)=48,(0,2)=54,(6,7)=55,(4,7)=59,(3,4)=61,(0,3)=67,(4,6)=71,(1,3)=72,(1,2)=74,(2,3)=76,(0,1)=81,(5,7)=81,(1,7)=83,(1,5)=89,(2,7)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=29\",\"Find(1)=1, Find(6)=0, Add (1,6)=20 Succeeded, w=49\",\"Find(3)=3, Find(7)=7, Add (3,7)=27 Succeeded, w=76\",\"Find(3)=3, Find(6)=1, Add (3,6)=29 Succeeded, w=105\",\"Find(4)=1, Find(5)=5, Add (4,5)=30 Succeeded, w=135\",\"Find(0)=1, Find(5)=1, Add (0,5)=34 Failed, w=135\",\"Find(2)=2, Find(4)=1, Add (2,4)=39 Succeeded, w=174\",\"Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=174\",\"Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=174\",\"Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=174\",\"Find(6)=1, Find(7)=1, Add (6,7)=55 Failed, w=174\",\"Find(4)=1, Find(7)=1, Add (4,7)=59 Failed, w=174\",\"Find(3)=1, Find(4)=1, Add (3,4)=61 Failed, w=174\",\"Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=174\",\"Find(4)=1, Find(6)=1, Add (4,6)=71 Failed, w=174\",\"Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=174\",\"Find(1)=1, Find(2)=1, Add (1,2)=74 Failed, w=174\",\"Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=174\",\"Find(0)=1, Find(1)=1, Add (0,1)=81 Failed, w=174\",\"Find(5)=1, Find(7)=1, Add (5,7)=81 Failed, w=174\",\"Find(1)=1, Find(7)=1, Add (1,7)=83 Failed, w=174\",\"Find(1)=1, Find(5)=1, Add (1,5)=89 Failed, w=174\",\"Find(2)=1, Find(7)=1, Add (2,7)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,54],[0,3,67],[0,5,34],[0,6,17],[1,2,74],[1,3,72],[1,4,12],[1,5,89],[1,6,20],[1,7,83],[2,3,76],[2,4,39],[2,5,48],[2,7,100],[3,4,61],[3,5,40],[3,6,29],[3,7,27],[4,5,30],[4,6,71],[4,7,59],[5,7,81],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=12,(0,6)=17,(1,6)=20,(3,7)=27,(3,6)=29,(4,5)=30,(0,5)=34,(2,4)=39,(3,5)=40,(2,5)=48,(0,2)=54,(6,7)=55,(4,7)=59,(3,4)=61,(0,3)=67,(4,6)=71,(1,3)=72,(1,2)=74,(2,3)=76,(0,1)=81,(5,7)=81,(1,7)=83,(1,5)=89,(2,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=17 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=20 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=27 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 3}, Find(3)=3, Find(6)=1, Add (3,6)=29 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(4)=1, Find(5)=5, Add (4,5)=30 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(5)=1, Add (0,5)=34 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(2)=2, Find(4)=1, Add (2,4)=39 Succeeded, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=55 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=59 Failed, w=174\",\"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)=61 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=71 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=74 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=81 Failed, w=174\",\"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)=81 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=83 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=89 Failed, w=174\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,35],[0,2,25],[0,3,37],[0,4,57],[0,5,29],[1,2,12],[1,4,41],[1,6,93],[2,3,1],[2,4,11],[2,5,92],[2,6,36],[3,4,10],[3,5,74],[3,6,47],[4,5,95],[4,6,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,25],[0,3,37],[0,4,57],[0,5,29],[1,2,12],[1,4,41],[1,6,93],[2,3,1],[2,4,11],[2,5,92],[2,6,36],[3,4,10],[3,5,74],[3,6,47],[4,5,95],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,25],[0,3,37],[0,4,57],[0,5,29],[1,2,12],[1,4,41],[1,6,93],[2,3,1],[2,4,11],[2,5,92],[2,6,36],[3,4,10],[3,5,74],[3,6,47],[4,5,95],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (2,6)\"],\"Answer\":113}",
"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],[0,2,25],[0,3,37],[0,4,57],[0,5,29],[1,2,12],[1,4,41],[1,6,93],[2,3,1],[2,4,11],[2,5,92],[2,6,36],[3,4,10],[3,5,74],[3,6,47],[4,5,95],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (3,4)=10, w=11\",\"Add (1,2)=12, w=23\",\"Add (0,2)=25, w=48\",\"Add (0,5)=29, w=77\",\"Add (2,6)=36, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,25],[0,3,37],[0,4,57],[0,5,29],[1,2,12],[1,4,41],[1,6,93],[2,3,1],[2,4,11],[2,5,92],[2,6,36],[3,4,10],[3,5,74],[3,6,47],[4,5,95],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (3,4)=10 Succeeded, w=11\",\"Add (2,4)=11 Failed, w=11\",\"Add (1,2)=12 Succeeded, w=23\",\"Add (0,2)=25 Succeeded, w=48\",\"Add (0,5)=29 Succeeded, w=77\",\"Add (0,1)=35 Failed, w=77\",\"Add (2,6)=36 Succeeded, w=113\",\"Add (0,3)=37 Failed, w=113\",\"Add (1,4)=41 Failed, w=113\",\"Add (3,6)=47 Failed, w=113\",\"Add (0,4)=57 Failed, w=113\",\"Add (4,6)=66 Failed, w=113\",\"Add (3,5)=74 Failed, w=113\",\"Add (2,5)=92 Failed, w=113\",\"Add (1,6)=93 Failed, w=113\",\"Add (4,5)=95 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,25],[0,3,37],[0,4,57],[0,5,29],[1,2,12],[1,4,41],[1,6,93],[2,3,1],[2,4,11],[2,5,92],[2,6,36],[3,4,10],[3,5,74],[3,6,47],[4,5,95],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(3,4)=10,(2,4)=11,(1,2)=12,(0,2)=25,(0,5)=29,(0,1)=35,(2,6)=36,(0,3)=37,(1,4)=41,(3,6)=47,(0,4)=57,(4,6)=66,(3,5)=74,(2,5)=92,(1,6)=93,(4,5)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(3)=2, Find(4)=4, Add (3,4)=10 Succeeded, w=11\",\"Find(2)=2, Find(4)=2, Add (2,4)=11 Failed, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=48\",\"Find(0)=2, Find(5)=5, Add (0,5)=29 Succeeded, w=77\",\"Find(0)=2, Find(1)=2, Add (0,1)=35 Failed, w=77\",\"Find(2)=2, Find(6)=6, Add (2,6)=36 Succeeded, w=113\",\"Find(0)=2, Find(3)=2, Add (0,3)=37 Failed, w=113\",\"Find(1)=2, Find(4)=2, Add (1,4)=41 Failed, w=113\",\"Find(3)=2, Find(6)=2, Add (3,6)=47 Failed, w=113\",\"Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=113\",\"Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=113\",\"Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=113\",\"Find(2)=2, Find(5)=2, Add (2,5)=92 Failed, w=113\",\"Find(1)=2, Find(6)=2, Add (1,6)=93 Failed, w=113\",\"Find(4)=2, Find(5)=2, Add (4,5)=95 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,35],[0,2,25],[0,3,37],[0,4,57],[0,5,29],[1,2,12],[1,4,41],[1,6,93],[2,3,1],[2,4,11],[2,5,92],[2,6,36],[3,4,10],[3,5,74],[3,6,47],[4,5,95],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(3,4)=10,(2,4)=11,(1,2)=12,(0,2)=25,(0,5)=29,(0,1)=35,(2,6)=36,(0,3)=37,(1,4)=41,(3,6)=47,(0,4)=57,(4,6)=66,(3,5)=74,(2,5)=92,(1,6)=93,(4,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=2, Find(4)=4, Add (3,4)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=2, Add (2,4)=11 Failed, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=23\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(5)=5, Add (0,5)=29 Succeeded, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(1)=2, Add (0,1)=35 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=36 Succeeded, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=37 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=41 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=47 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=57 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=92 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=93 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=95 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,2,55],[0,3,10],[0,4,33],[0,5,69],[0,6,35],[1,2,70],[1,4,12],[1,5,78],[1,6,93],[2,3,57],[2,4,16],[2,5,47],[2,6,97],[3,4,91],[3,5,33],[3,6,34],[4,5,9],[4,6,9],[5,6,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,55],[0,3,10],[0,4,33],[0,5,69],[0,6,35],[1,2,70],[1,4,12],[1,5,78],[1,6,93],[2,3,57],[2,4,16],[2,5,47],[2,6,97],[3,4,91],[3,5,33],[3,6,34],[4,5,9],[4,6,9],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,55],[0,3,10],[0,4,33],[0,5,69],[0,6,35],[1,2,70],[1,4,12],[1,5,78],[1,6,93],[2,3,57],[2,4,16],[2,5,47],[2,6,97],[3,4,91],[3,5,33],[3,6,34],[4,5,9],[4,6,9],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,55],[0,3,10],[0,4,33],[0,5,69],[0,6,35],[1,2,70],[1,4,12],[1,5,78],[1,6,93],[2,3,57],[2,4,16],[2,5,47],[2,6,97],[3,4,91],[3,5,33],[3,6,34],[4,5,9],[4,6,9],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=9, w=9\",\"Add (4,6)=9, w=18\",\"Add (0,3)=10, w=28\",\"Add (1,4)=12, w=40\",\"Add (2,4)=16, w=56\",\"Add (0,4)=33, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,55],[0,3,10],[0,4,33],[0,5,69],[0,6,35],[1,2,70],[1,4,12],[1,5,78],[1,6,93],[2,3,57],[2,4,16],[2,5,47],[2,6,97],[3,4,91],[3,5,33],[3,6,34],[4,5,9],[4,6,9],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=9 Succeeded, w=9\",\"Add (4,6)=9 Succeeded, w=18\",\"Add (0,3)=10 Succeeded, w=28\",\"Add (1,4)=12 Succeeded, w=40\",\"Add (2,4)=16 Succeeded, w=56\",\"Add (0,4)=33 Succeeded, w=89\",\"Add (3,5)=33 Failed, w=89\",\"Add (3,6)=34 Failed, w=89\",\"Add (0,6)=35 Failed, w=89\",\"Add (5,6)=42 Failed, w=89\",\"Add (0,1)=43 Failed, w=89\",\"Add (2,5)=47 Failed, w=89\",\"Add (0,2)=55 Failed, w=89\",\"Add (2,3)=57 Failed, w=89\",\"Add (0,5)=69 Failed, w=89\",\"Add (1,2)=70 Failed, w=89\",\"Add (1,5)=78 Failed, w=89\",\"Add (3,4)=91 Failed, w=89\",\"Add (1,6)=93 Failed, w=89\",\"Add (2,6)=97 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,55],[0,3,10],[0,4,33],[0,5,69],[0,6,35],[1,2,70],[1,4,12],[1,5,78],[1,6,93],[2,3,57],[2,4,16],[2,5,47],[2,6,97],[3,4,91],[3,5,33],[3,6,34],[4,5,9],[4,6,9],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=9,(4,6)=9,(0,3)=10,(1,4)=12,(2,4)=16,(0,4)=33,(3,5)=33,(3,6)=34,(0,6)=35,(5,6)=42,(0,1)=43,(2,5)=47,(0,2)=55,(2,3)=57,(0,5)=69,(1,2)=70,(1,5)=78,(3,4)=91,(1,6)=93,(2,6)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=9\",\"Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=28\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=40\",\"Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=56\",\"Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=89\",\"Find(3)=0, Find(5)=0, Add (3,5)=33 Failed, w=89\",\"Find(3)=0, Find(6)=0, Add (3,6)=34 Failed, w=89\",\"Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=89\",\"Find(5)=0, Find(6)=0, Add (5,6)=42 Failed, w=89\",\"Find(0)=0, Find(1)=0, Add (0,1)=43 Failed, w=89\",\"Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=89\",\"Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=89\",\"Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=89\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=89\",\"Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=89\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=89\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=89\",\"Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,55],[0,3,10],[0,4,33],[0,5,69],[0,6,35],[1,2,70],[1,4,12],[1,5,78],[1,6,93],[2,3,57],[2,4,16],[2,5,47],[2,6,97],[3,4,91],[3,5,33],[3,6,34],[4,5,9],[4,6,9],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=9,(4,6)=9,(0,3)=10,(1,4)=12,(2,4)=16,(0,4)=33,(3,5)=33,(3,6)=34,(0,6)=35,(5,6)=42,(0,1)=43,(2,5)=47,(0,2)=55,(2,3)=57,(0,5)=69,(1,2)=70,(1,5)=78,(3,4)=91,(1,6)=93,(2,6)=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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=28\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=40\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=56\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 4, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=33 Succeeded, w=89\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(5)=0, Add (3,5)=33 Failed, w=89\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=34 Failed, w=89\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=89\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=42 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=43 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=89\",\"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=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=89\",\"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=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,26],[0,2,60],[0,3,34],[0,4,85],[0,5,32],[1,3,48],[1,4,86],[1,5,80],[2,4,61],[2,5,38],[3,4,10],[3,5,28],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,60],[0,3,34],[0,4,85],[0,5,32],[1,3,48],[1,4,86],[1,5,80],[2,4,61],[2,5,38],[3,4,10],[3,5,28],[4,5,8]]}",
"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],\"edges\":[[0,1,26],[0,2,60],[0,3,34],[0,4,85],[0,5,32],[1,3,48],[1,4,86],[1,5,80],[2,4,61],[2,5,38],[3,4,10],[3,5,28],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,5)\",\"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],\"edges\":[[0,1,26],[0,2,60],[0,3,34],[0,4,85],[0,5,32],[1,3,48],[1,4,86],[1,5,80],[2,4,61],[2,5,38],[3,4,10],[3,5,28],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8, w=8\",\"Add (3,4)=10, w=18\",\"Add (0,1)=26, w=44\",\"Add (0,5)=32, w=76\",\"Add (2,5)=38, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,60],[0,3,34],[0,4,85],[0,5,32],[1,3,48],[1,4,86],[1,5,80],[2,4,61],[2,5,38],[3,4,10],[3,5,28],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8 Succeeded, w=8\",\"Add (3,4)=10 Succeeded, w=18\",\"Add (0,1)=26 Succeeded, w=44\",\"Add (3,5)=28 Failed, w=44\",\"Add (0,5)=32 Succeeded, w=76\",\"Add (0,3)=34 Failed, w=76\",\"Add (2,5)=38 Succeeded, w=114\",\"Add (1,3)=48 Failed, w=114\",\"Add (0,2)=60 Failed, w=114\",\"Add (2,4)=61 Failed, w=114\",\"Add (1,5)=80 Failed, w=114\",\"Add (0,4)=85 Failed, w=114\",\"Add (1,4)=86 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],\"edges\":[[0,1,26],[0,2,60],[0,3,34],[0,4,85],[0,5,32],[1,3,48],[1,4,86],[1,5,80],[2,4,61],[2,5,38],[3,4,10],[3,5,28],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(3,4)=10,(0,1)=26,(3,5)=28,(0,5)=32,(0,3)=34,(2,5)=38,(1,3)=48,(0,2)=60,(2,4)=61,(1,5)=80,(0,4)=85,(1,4)=86]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=44\",\"Find(3)=4, Find(5)=4, Add (3,5)=28 Failed, w=44\",\"Find(0)=0, Find(5)=4, Add (0,5)=32 Succeeded, w=76\",\"Find(0)=0, Find(3)=0, Add (0,3)=34 Failed, w=76\",\"Find(2)=2, Find(5)=0, Add (2,5)=38 Succeeded, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=114\",\"Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=114\",\"Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=114\",\"Find(1)=0, Find(5)=0, Add (1,5)=80 Failed, w=114\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=114\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 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],\"edges\":[[0,1,26],[0,2,60],[0,3,34],[0,4,85],[0,5,32],[1,3,48],[1,4,86],[1,5,80],[2,4,61],[2,5,38],[3,4,10],[3,5,28],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(3,4)=10,(0,1)=26,(3,5)=28,(0,5)=32,(0,3)=34,(2,5)=38,(1,3)=48,(0,2)=60,(2,4)=61,(1,5)=80,(0,4)=85,(1,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=28 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 0, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=32 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(3)=0, Add (0,3)=34 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=38 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=80 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,2,45],[0,3,43],[0,4,6],[0,5,16],[1,2,53],[1,3,49],[1,4,79],[1,5,53],[2,3,48],[2,4,3],[2,5,5],[3,4,50],[3,5,89],[4,5,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,45],[0,3,43],[0,4,6],[0,5,16],[1,2,53],[1,3,49],[1,4,79],[1,5,53],[2,3,48],[2,4,3],[2,5,5],[3,4,50],[3,5,89],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,45],[0,3,43],[0,4,6],[0,5,16],[1,2,53],[1,3,49],[1,4,79],[1,5,53],[2,3,48],[2,4,3],[2,5,5],[3,4,50],[3,5,89],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,45],[0,3,43],[0,4,6],[0,5,16],[1,2,53],[1,3,49],[1,4,79],[1,5,53],[2,3,48],[2,4,3],[2,5,5],[3,4,50],[3,5,89],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (2,5)=5, w=8\",\"Add (0,4)=6, w=14\",\"Add (0,3)=43, w=57\",\"Add (1,3)=49, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,45],[0,3,43],[0,4,6],[0,5,16],[1,2,53],[1,3,49],[1,4,79],[1,5,53],[2,3,48],[2,4,3],[2,5,5],[3,4,50],[3,5,89],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (2,5)=5 Succeeded, w=8\",\"Add (0,4)=6 Succeeded, w=14\",\"Add (0,5)=16 Failed, w=14\",\"Add (0,3)=43 Succeeded, w=57\",\"Add (0,2)=45 Failed, w=57\",\"Add (2,3)=48 Failed, w=57\",\"Add (1,3)=49 Succeeded, w=106\",\"Add (3,4)=50 Failed, w=106\",\"Add (1,2)=53 Failed, w=106\",\"Add (1,5)=53 Failed, w=106\",\"Add (1,4)=79 Failed, w=106\",\"Add (3,5)=89 Failed, w=106\",\"Add (0,1)=91 Failed, w=106\",\"Add (4,5)=94 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,45],[0,3,43],[0,4,6],[0,5,16],[1,2,53],[1,3,49],[1,4,79],[1,5,53],[2,3,48],[2,4,3],[2,5,5],[3,4,50],[3,5,89],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(2,5)=5,(0,4)=6,(0,5)=16,(0,3)=43,(0,2)=45,(2,3)=48,(1,3)=49,(3,4)=50,(1,2)=53,(1,5)=53,(1,4)=79,(3,5)=89,(0,1)=91,(4,5)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=8\",\"Find(0)=0, Find(4)=2, Add (0,4)=6 Succeeded, w=14\",\"Find(0)=2, Find(5)=2, Add (0,5)=16 Failed, w=14\",\"Find(0)=2, Find(3)=3, Add (0,3)=43 Succeeded, w=57\",\"Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=57\",\"Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=57\",\"Find(1)=1, Find(3)=2, Add (1,3)=49 Succeeded, w=106\",\"Find(3)=2, Find(4)=2, Add (3,4)=50 Failed, w=106\",\"Find(1)=2, Find(2)=2, Add (1,2)=53 Failed, w=106\",\"Find(1)=2, Find(5)=2, Add (1,5)=53 Failed, w=106\",\"Find(1)=2, Find(4)=2, Add (1,4)=79 Failed, w=106\",\"Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=106\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=106\",\"Find(4)=2, Find(5)=2, Add (4,5)=94 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,45],[0,3,43],[0,4,6],[0,5,16],[1,2,53],[1,3,49],[1,4,79],[1,5,53],[2,3,48],[2,4,3],[2,5,5],[3,4,50],[3,5,89],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(2,5)=5,(0,4)=6,(0,5)=16,(0,3)=43,(0,2)=45,(2,3)=48,(1,3)=49,(3,4)=50,(1,2)=53,(1,5)=53,(1,4)=79,(3,5)=89,(0,1)=91,(4,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=6 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=16 Failed, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=3, Add (0,3)=43 Succeeded, w=57\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=57\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=49 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=50 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=53 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=53 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=79 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=94 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,96],[0,2,12],[0,3,85],[0,4,38],[0,5,22],[0,6,60],[0,7,51],[1,2,44],[1,3,64],[1,4,26],[1,5,80],[1,6,44],[2,3,48],[2,4,80],[2,5,11],[2,6,40],[2,7,6],[3,4,64],[3,5,79],[3,6,29],[3,7,85],[4,5,25],[4,6,36],[4,7,77],[5,6,43],[5,7,43],[6,7,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,12],[0,3,85],[0,4,38],[0,5,22],[0,6,60],[0,7,51],[1,2,44],[1,3,64],[1,4,26],[1,5,80],[1,6,44],[2,3,48],[2,4,80],[2,5,11],[2,6,40],[2,7,6],[3,4,64],[3,5,79],[3,6,29],[3,7,85],[4,5,25],[4,6,36],[4,7,77],[5,6,43],[5,7,43],[6,7,48]]}",
"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\":[[0,1,96],[0,2,12],[0,3,85],[0,4,38],[0,5,22],[0,6,60],[0,7,51],[1,2,44],[1,3,64],[1,4,26],[1,5,80],[1,6,44],[2,3,48],[2,4,80],[2,5,11],[2,6,40],[2,7,6],[3,4,64],[3,5,79],[3,6,29],[3,7,85],[4,5,25],[4,6,36],[4,7,77],[5,6,43],[5,7,43],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (4,6)\"],\"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\":[[0,1,96],[0,2,12],[0,3,85],[0,4,38],[0,5,22],[0,6,60],[0,7,51],[1,2,44],[1,3,64],[1,4,26],[1,5,80],[1,6,44],[2,3,48],[2,4,80],[2,5,11],[2,6,40],[2,7,6],[3,4,64],[3,5,79],[3,6,29],[3,7,85],[4,5,25],[4,6,36],[4,7,77],[5,6,43],[5,7,43],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=6, w=6\",\"Add (2,5)=11, w=17\",\"Add (0,2)=12, w=29\",\"Add (4,5)=25, w=54\",\"Add (1,4)=26, w=80\",\"Add (3,6)=29, w=109\",\"Add (4,6)=36, 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\":[[0,1,96],[0,2,12],[0,3,85],[0,4,38],[0,5,22],[0,6,60],[0,7,51],[1,2,44],[1,3,64],[1,4,26],[1,5,80],[1,6,44],[2,3,48],[2,4,80],[2,5,11],[2,6,40],[2,7,6],[3,4,64],[3,5,79],[3,6,29],[3,7,85],[4,5,25],[4,6,36],[4,7,77],[5,6,43],[5,7,43],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=6 Succeeded, w=6\",\"Add (2,5)=11 Succeeded, w=17\",\"Add (0,2)=12 Succeeded, w=29\",\"Add (0,5)=22 Failed, w=29\",\"Add (4,5)=25 Succeeded, w=54\",\"Add (1,4)=26 Succeeded, w=80\",\"Add (3,6)=29 Succeeded, w=109\",\"Add (4,6)=36 Succeeded, w=145\",\"Add (0,4)=38 Failed, w=145\",\"Add (2,6)=40 Failed, w=145\",\"Add (5,6)=43 Failed, w=145\",\"Add (5,7)=43 Failed, w=145\",\"Add (1,2)=44 Failed, w=145\",\"Add (1,6)=44 Failed, w=145\",\"Add (2,3)=48 Failed, w=145\",\"Add (6,7)=48 Failed, w=145\",\"Add (0,7)=51 Failed, w=145\",\"Add (0,6)=60 Failed, w=145\",\"Add (1,3)=64 Failed, w=145\",\"Add (3,4)=64 Failed, w=145\",\"Add (4,7)=77 Failed, w=145\",\"Add (3,5)=79 Failed, w=145\",\"Add (1,5)=80 Failed, w=145\",\"Add (2,4)=80 Failed, w=145\",\"Add (0,3)=85 Failed, w=145\",\"Add (3,7)=85 Failed, w=145\",\"Add (0,1)=96 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\":[[0,1,96],[0,2,12],[0,3,85],[0,4,38],[0,5,22],[0,6,60],[0,7,51],[1,2,44],[1,3,64],[1,4,26],[1,5,80],[1,6,44],[2,3,48],[2,4,80],[2,5,11],[2,6,40],[2,7,6],[3,4,64],[3,5,79],[3,6,29],[3,7,85],[4,5,25],[4,6,36],[4,7,77],[5,6,43],[5,7,43],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=6,(2,5)=11,(0,2)=12,(0,5)=22,(4,5)=25,(1,4)=26,(3,6)=29,(4,6)=36,(0,4)=38,(2,6)=40,(5,6)=43,(5,7)=43,(1,2)=44,(1,6)=44,(2,3)=48,(6,7)=48,(0,7)=51,(0,6)=60,(1,3)=64,(3,4)=64,(4,7)=77,(3,5)=79,(1,5)=80,(2,4)=80,(0,3)=85,(3,7)=85,(0,1)=96]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=29\",\"Find(0)=2, Find(5)=2, Add (0,5)=22 Failed, w=29\",\"Find(4)=4, Find(5)=2, Add (4,5)=25 Succeeded, w=54\",\"Find(1)=1, Find(4)=2, Add (1,4)=26 Succeeded, w=80\",\"Find(3)=3, Find(6)=6, Add (3,6)=29 Succeeded, w=109\",\"Find(4)=2, Find(6)=3, Add (4,6)=36 Succeeded, w=145\",\"Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=145\",\"Find(2)=2, Find(6)=2, Add (2,6)=40 Failed, w=145\",\"Find(5)=2, Find(6)=2, Add (5,6)=43 Failed, w=145\",\"Find(5)=2, Find(7)=2, Add (5,7)=43 Failed, w=145\",\"Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=145\",\"Find(1)=2, Find(6)=2, Add (1,6)=44 Failed, w=145\",\"Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=145\",\"Find(6)=2, Find(7)=2, Add (6,7)=48 Failed, w=145\",\"Find(0)=2, Find(7)=2, Add (0,7)=51 Failed, w=145\",\"Find(0)=2, Find(6)=2, Add (0,6)=60 Failed, w=145\",\"Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=145\",\"Find(3)=2, Find(4)=2, Add (3,4)=64 Failed, w=145\",\"Find(4)=2, Find(7)=2, Add (4,7)=77 Failed, w=145\",\"Find(3)=2, Find(5)=2, Add (3,5)=79 Failed, w=145\",\"Find(1)=2, Find(5)=2, Add (1,5)=80 Failed, w=145\",\"Find(2)=2, Find(4)=2, Add (2,4)=80 Failed, w=145\",\"Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=145\",\"Find(3)=2, Find(7)=2, Add (3,7)=85 Failed, w=145\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 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\":[[0,1,96],[0,2,12],[0,3,85],[0,4,38],[0,5,22],[0,6,60],[0,7,51],[1,2,44],[1,3,64],[1,4,26],[1,5,80],[1,6,44],[2,3,48],[2,4,80],[2,5,11],[2,6,40],[2,7,6],[3,4,64],[3,5,79],[3,6,29],[3,7,85],[4,5,25],[4,6,36],[4,7,77],[5,6,43],[5,7,43],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=6,(2,5)=11,(0,2)=12,(0,5)=22,(4,5)=25,(1,4)=26,(3,6)=29,(4,6)=36,(0,4)=38,(2,6)=40,(5,6)=43,(5,7)=43,(1,2)=44,(1,6)=44,(2,3)=48,(6,7)=48,(0,7)=51,(0,6)=60,(1,3)=64,(3,4)=64,(4,7)=77,(3,5)=79,(1,5)=80,(2,4)=80,(0,3)=85,(3,7)=85,(0,1)=96]\",\"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: 2, 6: 6, 7: 2}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=22 Failed, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 2}, Find(4)=4, Find(5)=2, Add (4,5)=25 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=1, Find(4)=2, Add (1,4)=26 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 3, 7: 2}, Find(3)=3, Find(6)=6, Add (3,6)=29 Succeeded, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 2}, Find(4)=2, Find(6)=3, Add (4,6)=36 Succeeded, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=145\",\"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)=40 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=43 Failed, w=145\",\"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)=43 Failed, w=145\",\"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)=44 Failed, w=145\",\"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)=44 Failed, w=145\",\"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)=48 Failed, w=145\",\"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)=48 Failed, w=145\",\"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)=51 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=60 Failed, w=145\",\"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)=64 Failed, w=145\",\"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)=64 Failed, w=145\",\"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)=77 Failed, w=145\",\"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)=79 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=80 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=80 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=145\",\"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)=85 Failed, w=145\",\"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)=96 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,20],[0,3,90],[0,4,63],[0,5,46],[1,2,87],[1,5,88],[2,3,9],[2,4,68],[2,5,51],[3,4,9],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,90],[0,4,63],[0,5,46],[1,2,87],[1,5,88],[2,3,9],[2,4,68],[2,5,51],[3,4,9],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,90],[0,4,63],[0,5,46],[1,2,87],[1,5,88],[2,3,9],[2,4,68],[2,5,51],[3,4,9],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,90],[0,4,63],[0,5,46],[1,2,87],[1,5,88],[2,3,9],[2,4,68],[2,5,51],[3,4,9],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8, w=8\",\"Add (2,3)=9, w=17\",\"Add (3,4)=9, w=26\",\"Add (0,2)=20, w=46\",\"Add (1,2)=87, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,90],[0,4,63],[0,5,46],[1,2,87],[1,5,88],[2,3,9],[2,4,68],[2,5,51],[3,4,9],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8 Succeeded, w=8\",\"Add (2,3)=9 Succeeded, w=17\",\"Add (3,4)=9 Succeeded, w=26\",\"Add (0,2)=20 Succeeded, w=46\",\"Add (0,5)=46 Failed, w=46\",\"Add (2,5)=51 Failed, w=46\",\"Add (0,4)=63 Failed, w=46\",\"Add (2,4)=68 Failed, w=46\",\"Add (1,2)=87 Succeeded, w=133\",\"Add (1,5)=88 Failed, w=133\",\"Add (0,3)=90 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,90],[0,4,63],[0,5,46],[1,2,87],[1,5,88],[2,3,9],[2,4,68],[2,5,51],[3,4,9],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(2,3)=9,(3,4)=9,(0,2)=20,(0,5)=46,(2,5)=51,(0,4)=63,(2,4)=68,(1,2)=87,(1,5)=88,(0,3)=90]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=17\",\"Find(3)=2, Find(4)=4, Add (3,4)=9 Succeeded, w=26\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=46\",\"Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=46\",\"Find(2)=2, Find(5)=2, Add (2,5)=51 Failed, w=46\",\"Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=46\",\"Find(2)=2, Find(4)=2, Add (2,4)=68 Failed, w=46\",\"Find(1)=1, Find(2)=2, Add (1,2)=87 Succeeded, w=133\",\"Find(1)=2, Find(5)=2, Add (1,5)=88 Failed, w=133\",\"Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,90],[0,4,63],[0,5,46],[1,2,87],[1,5,88],[2,3,9],[2,4,68],[2,5,51],[3,4,9],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(2,3)=9,(3,4)=9,(0,2)=20,(0,5)=46,(2,5)=51,(0,4)=63,(2,4)=68,(1,2)=87,(1,5)=88,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(4)=4, Add (3,4)=9 Succeeded, w=26\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=51 Failed, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=68 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=87 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=88 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,36],[0,2,74],[0,4,6],[0,5,39],[1,2,45],[1,4,80],[1,5,56],[2,3,56],[2,4,80],[2,5,10],[3,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,74],[0,4,6],[0,5,39],[1,2,45],[1,4,80],[1,5,56],[2,3,56],[2,4,80],[2,5,10],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,74],[0,4,6],[0,5,39],[1,2,45],[1,4,80],[1,5,56],[2,3,56],[2,4,80],[2,5,10],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,74],[0,4,6],[0,5,39],[1,2,45],[1,4,80],[1,5,56],[2,3,56],[2,4,80],[2,5,10],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (2,5)=10, w=16\",\"Add (0,1)=36, w=52\",\"Add (0,5)=39, w=91\",\"Add (2,3)=56, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,74],[0,4,6],[0,5,39],[1,2,45],[1,4,80],[1,5,56],[2,3,56],[2,4,80],[2,5,10],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (2,5)=10 Succeeded, w=16\",\"Add (0,1)=36 Succeeded, w=52\",\"Add (0,5)=39 Succeeded, w=91\",\"Add (1,2)=45 Failed, w=91\",\"Add (1,5)=56 Failed, w=91\",\"Add (2,3)=56 Succeeded, w=147\",\"Add (3,4)=59 Failed, w=147\",\"Add (0,2)=74 Failed, w=147\",\"Add (1,4)=80 Failed, w=147\",\"Add (2,4)=80 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,74],[0,4,6],[0,5,39],[1,2,45],[1,4,80],[1,5,56],[2,3,56],[2,4,80],[2,5,10],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(2,5)=10,(0,1)=36,(0,5)=39,(1,2)=45,(1,5)=56,(2,3)=56,(3,4)=59,(0,2)=74,(1,4)=80,(2,4)=80]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=52\",\"Find(0)=0, Find(5)=2, Add (0,5)=39 Succeeded, w=91\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=91\",\"Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=91\",\"Find(2)=0, Find(3)=3, Add (2,3)=56 Succeeded, w=147\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=147\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=147\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=147\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,74],[0,4,6],[0,5,39],[1,2,45],[1,4,80],[1,5,56],[2,3,56],[2,4,80],[2,5,10],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(2,5)=10,(0,1)=36,(0,5)=39,(1,2)=45,(1,5)=56,(2,3)=56,(3,4)=59,(0,2)=74,(1,4)=80,(2,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=39 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=56 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,8],[1,2,26],[1,3,41],[2,3,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,8],[1,2,26],[1,3,41],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,8],[1,2,26],[1,3,41],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,8],[1,2,26],[1,3,41],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (1,2)=26, w=34\",\"Add (1,3)=41, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,8],[1,2,26],[1,3,41],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (1,2)=26 Succeeded, w=34\",\"Add (1,3)=41 Succeeded, w=75\",\"Add (2,3)=79 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,8],[1,2,26],[1,3,41],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,2)=26,(1,3)=41,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=34\",\"Find(1)=1, Find(3)=0, Add (1,3)=41 Succeeded, w=75\",\"Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,8],[1,2,26],[1,3,41],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,2)=26,(1,3)=41,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=41 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,46],[0,3,9],[0,4,88],[1,2,21],[1,4,23],[2,3,100],[2,4,42],[3,4,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,9],[0,4,88],[1,2,21],[1,4,23],[2,3,100],[2,4,42],[3,4,64]]}",
"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\":[[0,1,46],[0,3,9],[0,4,88],[1,2,21],[1,4,23],[2,3,100],[2,4,42],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,9],[0,4,88],[1,2,21],[1,4,23],[2,3,100],[2,4,42],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (1,2)=21, w=30\",\"Add (1,4)=23, w=53\",\"Add (0,1)=46, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,3,9],[0,4,88],[1,2,21],[1,4,23],[2,3,100],[2,4,42],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (1,2)=21 Succeeded, w=30\",\"Add (1,4)=23 Succeeded, w=53\",\"Add (2,4)=42 Failed, w=53\",\"Add (0,1)=46 Succeeded, w=99\",\"Add (3,4)=64 Failed, w=99\",\"Add (0,4)=88 Failed, w=99\",\"Add (2,3)=100 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\":[[0,1,46],[0,3,9],[0,4,88],[1,2,21],[1,4,23],[2,3,100],[2,4,42],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(1,2)=21,(1,4)=23,(2,4)=42,(0,1)=46,(3,4)=64,(0,4)=88,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=30\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=53\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=99\",\"Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=99\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=99\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 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\":[[0,1,46],[0,3,9],[0,4,88],[1,2,21],[1,4,23],[2,3,100],[2,4,42],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(1,2)=21,(1,4)=23,(2,4)=42,(0,1)=46,(3,4)=64,(0,4)=88,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,0],[0,3,82],[1,2,87],[1,3,12],[2,3,88],[3,4,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,3,82],[1,2,87],[1,3,12],[2,3,88],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,3,82],[1,2,87],[1,3,12],[2,3,88],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,3,82],[1,2,87],[1,3,12],[2,3,88],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (1,3)=12, w=12\",\"Add (3,4)=16, w=28\",\"Add (1,2)=87, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,3,82],[1,2,87],[1,3,12],[2,3,88],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (1,3)=12 Succeeded, w=12\",\"Add (3,4)=16 Succeeded, w=28\",\"Add (0,3)=82 Failed, w=28\",\"Add (1,2)=87 Succeeded, w=115\",\"Add (2,3)=88 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,3,82],[1,2,87],[1,3,12],[2,3,88],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=12,(3,4)=16,(0,3)=82,(1,2)=87,(2,3)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(1)=0, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(3)=0, Find(4)=4, Add (3,4)=16 Succeeded, w=28\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=28\",\"Find(1)=0, Find(2)=2, Add (1,2)=87 Succeeded, w=115\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,3,82],[1,2,87],[1,3,12],[2,3,88],[3,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=12,(3,4)=16,(0,3)=82,(1,2)=87,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=87 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,32],[0,2,40],[0,3,91],[0,5,26],[1,2,50],[1,3,12],[1,4,10],[1,5,13],[2,3,32],[2,4,47],[2,5,36],[3,4,65],[3,5,99],[4,5,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,3,91],[0,5,26],[1,2,50],[1,3,12],[1,4,10],[1,5,13],[2,3,32],[2,4,47],[2,5,36],[3,4,65],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,3,91],[0,5,26],[1,2,50],[1,3,12],[1,4,10],[1,5,13],[2,3,32],[2,4,47],[2,5,36],[3,4,65],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,3,91],[0,5,26],[1,2,50],[1,3,12],[1,4,10],[1,5,13],[2,3,32],[2,4,47],[2,5,36],[3,4,65],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10, w=10\",\"Add (4,5)=10, w=20\",\"Add (1,3)=12, w=32\",\"Add (0,5)=26, w=58\",\"Add (2,3)=32, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,3,91],[0,5,26],[1,2,50],[1,3,12],[1,4,10],[1,5,13],[2,3,32],[2,4,47],[2,5,36],[3,4,65],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10 Succeeded, w=10\",\"Add (4,5)=10 Succeeded, w=20\",\"Add (1,3)=12 Succeeded, w=32\",\"Add (1,5)=13 Failed, w=32\",\"Add (0,5)=26 Succeeded, w=58\",\"Add (0,1)=32 Failed, w=58\",\"Add (2,3)=32 Succeeded, w=90\",\"Add (2,5)=36 Failed, w=90\",\"Add (0,2)=40 Failed, w=90\",\"Add (2,4)=47 Failed, w=90\",\"Add (1,2)=50 Failed, w=90\",\"Add (3,4)=65 Failed, w=90\",\"Add (0,3)=91 Failed, w=90\",\"Add (3,5)=99 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,3,91],[0,5,26],[1,2,50],[1,3,12],[1,4,10],[1,5,13],[2,3,32],[2,4,47],[2,5,36],[3,4,65],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(4,5)=10,(1,3)=12,(1,5)=13,(0,5)=26,(0,1)=32,(2,3)=32,(2,5)=36,(0,2)=40,(2,4)=47,(1,2)=50,(3,4)=65,(0,3)=91,(3,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(4)=1, Find(5)=5, Add (4,5)=10 Succeeded, w=20\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=32\",\"Find(1)=1, Find(5)=1, Add (1,5)=13 Failed, w=32\",\"Find(0)=0, Find(5)=1, Add (0,5)=26 Succeeded, w=58\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=58\",\"Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=90\",\"Find(2)=1, Find(5)=1, Add (2,5)=36 Failed, w=90\",\"Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=90\",\"Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=90\",\"Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=90\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=90\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=90\",\"Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,3,91],[0,5,26],[1,2,50],[1,3,12],[1,4,10],[1,5,13],[2,3,32],[2,4,47],[2,5,36],[3,4,65],[3,5,99],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(4,5)=10,(1,3)=12,(1,5)=13,(0,5)=26,(0,1)=32,(2,3)=32,(2,5)=36,(0,2)=40,(2,4)=47,(1,2)=50,(3,4)=65,(0,3)=91,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=13 Failed, w=32\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=26 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=36 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,2,29],[0,3,89],[0,4,77],[0,5,62],[0,6,7],[1,2,52],[1,3,3],[1,4,61],[1,5,12],[1,6,90],[2,3,77],[2,4,37],[2,5,70],[2,6,79],[3,4,8],[3,5,3],[3,6,22],[4,5,14],[4,6,71],[5,6,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,29],[0,3,89],[0,4,77],[0,5,62],[0,6,7],[1,2,52],[1,3,3],[1,4,61],[1,5,12],[1,6,90],[2,3,77],[2,4,37],[2,5,70],[2,6,79],[3,4,8],[3,5,3],[3,6,22],[4,5,14],[4,6,71],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,29],[0,3,89],[0,4,77],[0,5,62],[0,6,7],[1,2,52],[1,3,3],[1,4,61],[1,5,12],[1,6,90],[2,3,77],[2,4,37],[2,5,70],[2,6,79],[3,4,8],[3,5,3],[3,6,22],[4,5,14],[4,6,71],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (3,6)\",\"Add (0,2)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,29],[0,3,89],[0,4,77],[0,5,62],[0,6,7],[1,2,52],[1,3,3],[1,4,61],[1,5,12],[1,6,90],[2,3,77],[2,4,37],[2,5,70],[2,6,79],[3,4,8],[3,5,3],[3,6,22],[4,5,14],[4,6,71],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (3,5)=3, w=6\",\"Add (0,6)=7, w=13\",\"Add (3,4)=8, w=21\",\"Add (3,6)=22, w=43\",\"Add (0,2)=29, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,29],[0,3,89],[0,4,77],[0,5,62],[0,6,7],[1,2,52],[1,3,3],[1,4,61],[1,5,12],[1,6,90],[2,3,77],[2,4,37],[2,5,70],[2,6,79],[3,4,8],[3,5,3],[3,6,22],[4,5,14],[4,6,71],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (3,5)=3 Succeeded, w=6\",\"Add (0,6)=7 Succeeded, w=13\",\"Add (3,4)=8 Succeeded, w=21\",\"Add (1,5)=12 Failed, w=21\",\"Add (4,5)=14 Failed, w=21\",\"Add (3,6)=22 Succeeded, w=43\",\"Add (0,2)=29 Succeeded, w=72\",\"Add (2,4)=37 Failed, w=72\",\"Add (1,2)=52 Failed, w=72\",\"Add (1,4)=61 Failed, w=72\",\"Add (0,5)=62 Failed, w=72\",\"Add (2,5)=70 Failed, w=72\",\"Add (0,1)=71 Failed, w=72\",\"Add (4,6)=71 Failed, w=72\",\"Add (0,4)=77 Failed, w=72\",\"Add (2,3)=77 Failed, w=72\",\"Add (2,6)=79 Failed, w=72\",\"Add (5,6)=87 Failed, w=72\",\"Add (0,3)=89 Failed, w=72\",\"Add (1,6)=90 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,29],[0,3,89],[0,4,77],[0,5,62],[0,6,7],[1,2,52],[1,3,3],[1,4,61],[1,5,12],[1,6,90],[2,3,77],[2,4,37],[2,5,70],[2,6,79],[3,4,8],[3,5,3],[3,6,22],[4,5,14],[4,6,71],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(3,5)=3,(0,6)=7,(3,4)=8,(1,5)=12,(4,5)=14,(3,6)=22,(0,2)=29,(2,4)=37,(1,2)=52,(1,4)=61,(0,5)=62,(2,5)=70,(0,1)=71,(4,6)=71,(0,4)=77,(2,3)=77,(2,6)=79,(5,6)=87,(0,3)=89,(1,6)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(3)=1, Find(5)=5, Add (3,5)=3 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=13\",\"Find(3)=1, Find(4)=4, Add (3,4)=8 Succeeded, w=21\",\"Find(1)=1, Find(5)=1, Add (1,5)=12 Failed, w=21\",\"Find(4)=1, Find(5)=1, Add (4,5)=14 Failed, w=21\",\"Find(3)=1, Find(6)=0, Add (3,6)=22 Succeeded, w=43\",\"Find(0)=1, Find(2)=2, Add (0,2)=29 Succeeded, w=72\",\"Find(2)=1, Find(4)=1, Add (2,4)=37 Failed, w=72\",\"Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=72\",\"Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=72\",\"Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=72\",\"Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=72\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=72\",\"Find(4)=1, Find(6)=1, Add (4,6)=71 Failed, w=72\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=72\",\"Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=72\",\"Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=72\",\"Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=72\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=72\",\"Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,29],[0,3,89],[0,4,77],[0,5,62],[0,6,7],[1,2,52],[1,3,3],[1,4,61],[1,5,12],[1,6,90],[2,3,77],[2,4,37],[2,5,70],[2,6,79],[3,4,8],[3,5,3],[3,6,22],[4,5,14],[4,6,71],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(3,5)=3,(0,6)=7,(3,4)=8,(1,5)=12,(4,5)=14,(3,6)=22,(0,2)=29,(2,4)=37,(1,2)=52,(1,4)=61,(0,5)=62,(2,5)=70,(0,1)=71,(4,6)=71,(0,4)=77,(2,3)=77,(2,6)=79,(5,6)=87,(0,3)=89,(1,6)=90]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(3)=1, Find(5)=5, Add (3,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 0}, Find(3)=1, Find(4)=4, Add (3,4)=8 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 0}, Find(1)=1, Find(5)=1, Add (1,5)=12 Failed, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 0}, Find(4)=1, Find(5)=1, Add (4,5)=14 Failed, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 0}, Find(3)=1, Find(6)=0, Add (3,6)=22 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(2)=2, Add (0,2)=29 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(2)=1, Find(4)=1, Add (2,4)=37 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=71 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,2,99],[0,3,83],[0,4,34],[0,7,71],[1,2,33],[1,3,70],[1,5,82],[1,6,31],[1,7,63],[2,5,45],[2,6,91],[2,7,3],[3,4,93],[3,5,66],[3,6,40],[3,7,67],[4,5,75],[4,6,24],[4,7,9],[5,6,5],[5,7,96],[6,7,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,99],[0,3,83],[0,4,34],[0,7,71],[1,2,33],[1,3,70],[1,5,82],[1,6,31],[1,7,63],[2,5,45],[2,6,91],[2,7,3],[3,4,93],[3,5,66],[3,6,40],[3,7,67],[4,5,75],[4,6,24],[4,7,9],[5,6,5],[5,7,96],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,99],[0,3,83],[0,4,34],[0,7,71],[1,2,33],[1,3,70],[1,5,82],[1,6,31],[1,7,63],[2,5,45],[2,6,91],[2,7,3],[3,4,93],[3,5,66],[3,6,40],[3,7,67],[4,5,75],[4,6,24],[4,7,9],[5,6,5],[5,7,96],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (5,6)\",\"Add (4,7)\",\"Add (6,7)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (3,6)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,99],[0,3,83],[0,4,34],[0,7,71],[1,2,33],[1,3,70],[1,5,82],[1,6,31],[1,7,63],[2,5,45],[2,6,91],[2,7,3],[3,4,93],[3,5,66],[3,6,40],[3,7,67],[4,5,75],[4,6,24],[4,7,9],[5,6,5],[5,7,96],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=3, w=3\",\"Add (5,6)=5, w=8\",\"Add (4,7)=9, w=17\",\"Add (6,7)=11, w=28\",\"Add (1,6)=31, w=59\",\"Add (0,4)=34, w=93\",\"Add (3,6)=40, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,99],[0,3,83],[0,4,34],[0,7,71],[1,2,33],[1,3,70],[1,5,82],[1,6,31],[1,7,63],[2,5,45],[2,6,91],[2,7,3],[3,4,93],[3,5,66],[3,6,40],[3,7,67],[4,5,75],[4,6,24],[4,7,9],[5,6,5],[5,7,96],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=3 Succeeded, w=3\",\"Add (5,6)=5 Succeeded, w=8\",\"Add (4,7)=9 Succeeded, w=17\",\"Add (6,7)=11 Succeeded, w=28\",\"Add (4,6)=24 Failed, w=28\",\"Add (1,6)=31 Succeeded, w=59\",\"Add (1,2)=33 Failed, w=59\",\"Add (0,4)=34 Succeeded, w=93\",\"Add (3,6)=40 Succeeded, w=133\",\"Add (2,5)=45 Failed, w=133\",\"Add (0,1)=48 Failed, w=133\",\"Add (1,7)=63 Failed, w=133\",\"Add (3,5)=66 Failed, w=133\",\"Add (3,7)=67 Failed, w=133\",\"Add (1,3)=70 Failed, w=133\",\"Add (0,7)=71 Failed, w=133\",\"Add (4,5)=75 Failed, w=133\",\"Add (1,5)=82 Failed, w=133\",\"Add (0,3)=83 Failed, w=133\",\"Add (2,6)=91 Failed, w=133\",\"Add (3,4)=93 Failed, w=133\",\"Add (5,7)=96 Failed, w=133\",\"Add (0,2)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,99],[0,3,83],[0,4,34],[0,7,71],[1,2,33],[1,3,70],[1,5,82],[1,6,31],[1,7,63],[2,5,45],[2,6,91],[2,7,3],[3,4,93],[3,5,66],[3,6,40],[3,7,67],[4,5,75],[4,6,24],[4,7,9],[5,6,5],[5,7,96],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=3,(5,6)=5,(4,7)=9,(6,7)=11,(4,6)=24,(1,6)=31,(1,2)=33,(0,4)=34,(3,6)=40,(2,5)=45,(0,1)=48,(1,7)=63,(3,5)=66,(3,7)=67,(1,3)=70,(0,7)=71,(4,5)=75,(1,5)=82,(0,3)=83,(2,6)=91,(3,4)=93,(5,7)=96,(0,2)=99]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=3 Succeeded, w=3\",\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=8\",\"Find(4)=4, Find(7)=2, Add (4,7)=9 Succeeded, w=17\",\"Find(6)=5, Find(7)=2, Add (6,7)=11 Succeeded, w=28\",\"Find(4)=5, Find(6)=5, Add (4,6)=24 Failed, w=28\",\"Find(1)=1, Find(6)=5, Add (1,6)=31 Succeeded, w=59\",\"Find(1)=5, Find(2)=5, Add (1,2)=33 Failed, w=59\",\"Find(0)=0, Find(4)=5, Add (0,4)=34 Succeeded, w=93\",\"Find(3)=3, Find(6)=5, Add (3,6)=40 Succeeded, w=133\",\"Find(2)=5, Find(5)=5, Add (2,5)=45 Failed, w=133\",\"Find(0)=5, Find(1)=5, Add (0,1)=48 Failed, w=133\",\"Find(1)=5, Find(7)=5, Add (1,7)=63 Failed, w=133\",\"Find(3)=5, Find(5)=5, Add (3,5)=66 Failed, w=133\",\"Find(3)=5, Find(7)=5, Add (3,7)=67 Failed, w=133\",\"Find(1)=5, Find(3)=5, Add (1,3)=70 Failed, w=133\",\"Find(0)=5, Find(7)=5, Add (0,7)=71 Failed, w=133\",\"Find(4)=5, Find(5)=5, Add (4,5)=75 Failed, w=133\",\"Find(1)=5, Find(5)=5, Add (1,5)=82 Failed, w=133\",\"Find(0)=5, Find(3)=5, Add (0,3)=83 Failed, w=133\",\"Find(2)=5, Find(6)=5, Add (2,6)=91 Failed, w=133\",\"Find(3)=5, Find(4)=5, Add (3,4)=93 Failed, w=133\",\"Find(5)=5, Find(7)=5, Add (5,7)=96 Failed, w=133\",\"Find(0)=5, Find(2)=5, Add (0,2)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,99],[0,3,83],[0,4,34],[0,7,71],[1,2,33],[1,3,70],[1,5,82],[1,6,31],[1,7,63],[2,5,45],[2,6,91],[2,7,3],[3,4,93],[3,5,66],[3,6,40],[3,7,67],[4,5,75],[4,6,24],[4,7,9],[5,6,5],[5,7,96],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=3,(5,6)=5,(4,7)=9,(6,7)=11,(4,6)=24,(1,6)=31,(1,2)=33,(0,4)=34,(3,6)=40,(2,5)=45,(0,1)=48,(1,7)=63,(3,5)=66,(3,7)=67,(1,3)=70,(0,7)=71,(4,5)=75,(1,5)=82,(0,3)=83,(2,6)=91,(3,4)=93,(5,7)=96,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 2}, Find(4)=4, Find(7)=2, Add (4,7)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 2, 5: 5, 6: 5, 7: 2}, Find(6)=5, Find(7)=2, Add (6,7)=11 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 2}, Find(4)=5, Find(6)=5, Add (4,6)=24 Failed, w=28\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 2}, Find(1)=1, Find(6)=5, Add (1,6)=31 Succeeded, w=59\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 2}, Find(1)=5, Find(2)=5, Add (1,2)=33 Failed, w=59\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 2}, Find(0)=0, Find(4)=5, Add (0,4)=34 Succeeded, w=93\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 2}, Find(3)=3, Find(6)=5, Add (3,6)=40 Succeeded, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 2}, Find(2)=5, Find(5)=5, Add (2,5)=45 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 2}, Find(0)=5, Find(1)=5, Add (0,1)=48 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=63 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=66 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=67 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(3)=5, Add (1,3)=70 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=71 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=75 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=82 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=83 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=91 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=93 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=5, Add (5,7)=96 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,46],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=37, w=37\",\"Add (0,1)=46, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=37 Succeeded, w=37\",\"Add (0,1)=46 Succeeded, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=37,(0,1)=46]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=37\",\"Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=37,(0,1)=46]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,55],[0,2,9],[0,3,44],[0,4,34],[0,5,45],[0,6,32],[0,7,92],[1,2,94],[1,3,25],[1,4,30],[1,5,31],[1,6,84],[1,7,70],[2,3,24],[2,4,17],[2,5,88],[2,6,26],[2,7,15],[3,5,34],[3,6,21],[3,7,37],[4,5,45],[4,6,5],[4,7,81],[5,7,19],[6,7,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,9],[0,3,44],[0,4,34],[0,5,45],[0,6,32],[0,7,92],[1,2,94],[1,3,25],[1,4,30],[1,5,31],[1,6,84],[1,7,70],[2,3,24],[2,4,17],[2,5,88],[2,6,26],[2,7,15],[3,5,34],[3,6,21],[3,7,37],[4,5,45],[4,6,5],[4,7,81],[5,7,19],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,9],[0,3,44],[0,4,34],[0,5,45],[0,6,32],[0,7,92],[1,2,94],[1,3,25],[1,4,30],[1,5,31],[1,6,84],[1,7,70],[2,3,24],[2,4,17],[2,5,88],[2,6,26],[2,7,15],[3,5,34],[3,6,21],[3,7,37],[4,5,45],[4,6,5],[4,7,81],[5,7,19],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,2)\",\"Add (2,7)\",\"Add (2,4)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (1,3)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,9],[0,3,44],[0,4,34],[0,5,45],[0,6,32],[0,7,92],[1,2,94],[1,3,25],[1,4,30],[1,5,31],[1,6,84],[1,7,70],[2,3,24],[2,4,17],[2,5,88],[2,6,26],[2,7,15],[3,5,34],[3,6,21],[3,7,37],[4,5,45],[4,6,5],[4,7,81],[5,7,19],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=5, w=5\",\"Add (0,2)=9, w=14\",\"Add (2,7)=15, w=29\",\"Add (2,4)=17, w=46\",\"Add (5,7)=19, w=65\",\"Add (3,6)=21, w=86\",\"Add (1,3)=25, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,9],[0,3,44],[0,4,34],[0,5,45],[0,6,32],[0,7,92],[1,2,94],[1,3,25],[1,4,30],[1,5,31],[1,6,84],[1,7,70],[2,3,24],[2,4,17],[2,5,88],[2,6,26],[2,7,15],[3,5,34],[3,6,21],[3,7,37],[4,5,45],[4,6,5],[4,7,81],[5,7,19],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=5 Succeeded, w=5\",\"Add (0,2)=9 Succeeded, w=14\",\"Add (2,7)=15 Succeeded, w=29\",\"Add (2,4)=17 Succeeded, w=46\",\"Add (5,7)=19 Succeeded, w=65\",\"Add (3,6)=21 Succeeded, w=86\",\"Add (2,3)=24 Failed, w=86\",\"Add (1,3)=25 Succeeded, w=111\",\"Add (2,6)=26 Failed, w=111\",\"Add (1,4)=30 Failed, w=111\",\"Add (1,5)=31 Failed, w=111\",\"Add (0,6)=32 Failed, w=111\",\"Add (0,4)=34 Failed, w=111\",\"Add (3,5)=34 Failed, w=111\",\"Add (3,7)=37 Failed, w=111\",\"Add (0,3)=44 Failed, w=111\",\"Add (0,5)=45 Failed, w=111\",\"Add (4,5)=45 Failed, w=111\",\"Add (0,1)=55 Failed, w=111\",\"Add (1,7)=70 Failed, w=111\",\"Add (6,7)=78 Failed, w=111\",\"Add (4,7)=81 Failed, w=111\",\"Add (1,6)=84 Failed, w=111\",\"Add (2,5)=88 Failed, w=111\",\"Add (0,7)=92 Failed, w=111\",\"Add (1,2)=94 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,9],[0,3,44],[0,4,34],[0,5,45],[0,6,32],[0,7,92],[1,2,94],[1,3,25],[1,4,30],[1,5,31],[1,6,84],[1,7,70],[2,3,24],[2,4,17],[2,5,88],[2,6,26],[2,7,15],[3,5,34],[3,6,21],[3,7,37],[4,5,45],[4,6,5],[4,7,81],[5,7,19],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=5,(0,2)=9,(2,7)=15,(2,4)=17,(5,7)=19,(3,6)=21,(2,3)=24,(1,3)=25,(2,6)=26,(1,4)=30,(1,5)=31,(0,6)=32,(0,4)=34,(3,5)=34,(3,7)=37,(0,3)=44,(0,5)=45,(4,5)=45,(0,1)=55,(1,7)=70,(6,7)=78,(4,7)=81,(1,6)=84,(2,5)=88,(0,7)=92,(1,2)=94]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=14\",\"Find(2)=0, Find(7)=7, Add (2,7)=15 Succeeded, w=29\",\"Find(2)=0, Find(4)=4, Add (2,4)=17 Succeeded, w=46\",\"Find(5)=5, Find(7)=0, Add (5,7)=19 Succeeded, w=65\",\"Find(3)=3, Find(6)=0, Add (3,6)=21 Succeeded, w=86\",\"Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=86\",\"Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=111\",\"Find(2)=0, Find(6)=0, Add (2,6)=26 Failed, w=111\",\"Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=111\",\"Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=111\",\"Find(0)=0, Find(6)=0, Add (0,6)=32 Failed, w=111\",\"Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=111\",\"Find(3)=0, Find(5)=0, Add (3,5)=34 Failed, w=111\",\"Find(3)=0, Find(7)=0, Add (3,7)=37 Failed, w=111\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=111\",\"Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=111\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=111\",\"Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=111\",\"Find(1)=0, Find(7)=0, Add (1,7)=70 Failed, w=111\",\"Find(6)=0, Find(7)=0, Add (6,7)=78 Failed, w=111\",\"Find(4)=0, Find(7)=0, Add (4,7)=81 Failed, w=111\",\"Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=111\",\"Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=111\",\"Find(0)=0, Find(7)=0, Add (0,7)=92 Failed, w=111\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,9],[0,3,44],[0,4,34],[0,5,45],[0,6,32],[0,7,92],[1,2,94],[1,3,25],[1,4,30],[1,5,31],[1,6,84],[1,7,70],[2,3,24],[2,4,17],[2,5,88],[2,6,26],[2,7,15],[3,5,34],[3,6,21],[3,7,37],[4,5,45],[4,6,5],[4,7,81],[5,7,19],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=5,(0,2)=9,(2,7)=15,(2,4)=17,(5,7)=19,(3,6)=21,(2,3)=24,(1,3)=25,(2,6)=26,(1,4)=30,(1,5)=31,(0,6)=32,(0,4)=34,(3,5)=34,(3,7)=37,(0,3)=44,(0,5)=45,(4,5)=45,(0,1)=55,(1,7)=70,(6,7)=78,(4,7)=81,(1,6)=84,(2,5)=88,(0,7)=92,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 4, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 4, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=17 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=19 Succeeded, w=65\",\"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)=21 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=111\",\"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)=26 Failed, w=111\",\"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)=30 Failed, w=111\",\"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)=31 Failed, w=111\",\"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)=32 Failed, w=111\",\"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)=34 Failed, w=111\",\"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)=34 Failed, w=111\",\"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)=37 Failed, w=111\",\"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)=44 Failed, w=111\",\"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)=45 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=111\",\"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)=55 Failed, w=111\",\"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)=70 Failed, w=111\",\"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)=78 Failed, w=111\",\"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)=81 Failed, w=111\",\"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)=84 Failed, w=111\",\"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)=88 Failed, w=111\",\"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)=92 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,94],[0,3,99],[0,4,77],[0,5,98],[1,2,8],[1,4,39],[3,4,54],[3,5,82],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,99],[0,4,77],[0,5,98],[1,2,8],[1,4,39],[3,4,54],[3,5,82],[4,5,56]]}",
"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],\"edges\":[[0,1,94],[0,3,99],[0,4,77],[0,5,98],[1,2,8],[1,4,39],[3,4,54],[3,5,82],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,99],[0,4,77],[0,5,98],[1,2,8],[1,4,39],[3,4,54],[3,5,82],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8, w=8\",\"Add (1,4)=39, w=47\",\"Add (3,4)=54, w=101\",\"Add (4,5)=56, w=157\",\"Add (0,4)=77, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,99],[0,4,77],[0,5,98],[1,2,8],[1,4,39],[3,4,54],[3,5,82],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8 Succeeded, w=8\",\"Add (1,4)=39 Succeeded, w=47\",\"Add (3,4)=54 Succeeded, w=101\",\"Add (4,5)=56 Succeeded, w=157\",\"Add (0,4)=77 Succeeded, w=234\",\"Add (3,5)=82 Failed, w=234\",\"Add (0,1)=94 Failed, w=234\",\"Add (0,5)=98 Failed, w=234\",\"Add (0,3)=99 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,99],[0,4,77],[0,5,98],[1,2,8],[1,4,39],[3,4,54],[3,5,82],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(1,4)=39,(3,4)=54,(4,5)=56,(0,4)=77,(3,5)=82,(0,1)=94,(0,5)=98,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(1)=1, Find(4)=4, Add (1,4)=39 Succeeded, w=47\",\"Find(3)=3, Find(4)=1, Add (3,4)=54 Succeeded, w=101\",\"Find(4)=1, Find(5)=5, Add (4,5)=56 Succeeded, w=157\",\"Find(0)=0, Find(4)=1, Add (0,4)=77 Succeeded, w=234\",\"Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=234\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=234\",\"Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=234\",\"Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,94],[0,3,99],[0,4,77],[0,5,98],[1,2,8],[1,4,39],[3,4,54],[3,5,82],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(1,4)=39,(3,4)=54,(4,5)=56,(0,4)=77,(3,5)=82,(0,1)=94,(0,5)=98,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=39 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=54 Succeeded, w=101\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=56 Succeeded, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=77 Succeeded, w=234\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=234\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=234\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=234\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,5],[0,2,6],[0,3,38],[1,3,49],[2,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,6],[0,3,38],[1,3,49],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,6],[0,3,38],[1,3,49],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,6],[0,3,38],[1,3,49],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (0,3)=38, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,6],[0,3,38],[1,3,49],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (0,3)=38 Succeeded, w=49\",\"Add (1,3)=49 Failed, w=49\",\"Add (2,3)=72 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,6],[0,3,38],[1,3,49],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,2)=6,(0,3)=38,(1,3)=49,(2,3)=72]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=49\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=49\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,6],[0,3,38],[1,3,49],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,2)=6,(0,3)=38,(1,3)=49,(2,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[0,2,12],[0,3,46],[1,2,42],[1,3,54],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,12],[0,3,46],[1,2,42],[1,3,54],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,12],[0,3,46],[1,2,42],[1,3,54],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,12],[0,3,46],[1,2,42],[1,3,54],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (2,3)=15, w=27\",\"Add (1,2)=42, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,12],[0,3,46],[1,2,42],[1,3,54],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (2,3)=15 Succeeded, w=27\",\"Add (1,2)=42 Succeeded, w=69\",\"Add (0,3)=46 Failed, w=69\",\"Add (1,3)=54 Failed, w=69\",\"Add (0,1)=67 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,12],[0,3,46],[1,2,42],[1,3,54],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(2,3)=15,(1,2)=42,(0,3)=46,(1,3)=54,(0,1)=67]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(2)=0, Find(3)=3, Add (2,3)=15 Succeeded, w=27\",\"Find(1)=1, Find(2)=0, Add (1,2)=42 Succeeded, w=69\",\"Find(0)=0, Find(3)=0, Add (0,3)=46 Failed, w=69\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=69\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,12],[0,3,46],[1,2,42],[1,3,54],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(2,3)=15,(1,2)=42,(0,3)=46,(1,3)=54,(0,1)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=42 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=46 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,38],[0,2,19],[0,4,14],[0,5,64],[0,6,30],[1,3,17],[1,4,98],[1,5,27],[1,6,71],[2,3,88],[2,4,19],[2,5,84],[2,6,90],[3,4,62],[3,6,50],[4,5,85],[4,6,52],[5,6,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,19],[0,4,14],[0,5,64],[0,6,30],[1,3,17],[1,4,98],[1,5,27],[1,6,71],[2,3,88],[2,4,19],[2,5,84],[2,6,90],[3,4,62],[3,6,50],[4,5,85],[4,6,52],[5,6,64]]}",
"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],\"edges\":[[0,1,38],[0,2,19],[0,4,14],[0,5,64],[0,6,30],[1,3,17],[1,4,98],[1,5,27],[1,6,71],[2,3,88],[2,4,19],[2,5,84],[2,6,90],[3,4,62],[3,6,50],[4,5,85],[4,6,52],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (0,1)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,19],[0,4,14],[0,5,64],[0,6,30],[1,3,17],[1,4,98],[1,5,27],[1,6,71],[2,3,88],[2,4,19],[2,5,84],[2,6,90],[3,4,62],[3,6,50],[4,5,85],[4,6,52],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14, w=14\",\"Add (1,3)=17, w=31\",\"Add (0,2)=19, w=50\",\"Add (1,5)=27, w=77\",\"Add (0,6)=30, w=107\",\"Add (0,1)=38, 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],\"edges\":[[0,1,38],[0,2,19],[0,4,14],[0,5,64],[0,6,30],[1,3,17],[1,4,98],[1,5,27],[1,6,71],[2,3,88],[2,4,19],[2,5,84],[2,6,90],[3,4,62],[3,6,50],[4,5,85],[4,6,52],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14 Succeeded, w=14\",\"Add (1,3)=17 Succeeded, w=31\",\"Add (0,2)=19 Succeeded, w=50\",\"Add (2,4)=19 Failed, w=50\",\"Add (1,5)=27 Succeeded, w=77\",\"Add (0,6)=30 Succeeded, w=107\",\"Add (0,1)=38 Succeeded, w=145\",\"Add (3,6)=50 Failed, w=145\",\"Add (4,6)=52 Failed, w=145\",\"Add (3,4)=62 Failed, w=145\",\"Add (0,5)=64 Failed, w=145\",\"Add (5,6)=64 Failed, w=145\",\"Add (1,6)=71 Failed, w=145\",\"Add (2,5)=84 Failed, w=145\",\"Add (4,5)=85 Failed, w=145\",\"Add (2,3)=88 Failed, w=145\",\"Add (2,6)=90 Failed, w=145\",\"Add (1,4)=98 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],\"edges\":[[0,1,38],[0,2,19],[0,4,14],[0,5,64],[0,6,30],[1,3,17],[1,4,98],[1,5,27],[1,6,71],[2,3,88],[2,4,19],[2,5,84],[2,6,90],[3,4,62],[3,6,50],[4,5,85],[4,6,52],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(1,3)=17,(0,2)=19,(2,4)=19,(1,5)=27,(0,6)=30,(0,1)=38,(3,6)=50,(4,6)=52,(3,4)=62,(0,5)=64,(5,6)=64,(1,6)=71,(2,5)=84,(4,5)=85,(2,3)=88,(2,6)=90,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=31\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=50\",\"Find(2)=0, Find(4)=0, Add (2,4)=19 Failed, w=50\",\"Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=77\",\"Find(0)=0, Find(6)=6, Add (0,6)=30 Succeeded, w=107\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=145\",\"Find(3)=0, Find(6)=0, Add (3,6)=50 Failed, w=145\",\"Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=145\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=145\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=145\",\"Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=145\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=145\",\"Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=145\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=145\",\"Find(2)=0, Find(6)=0, Add (2,6)=90 Failed, w=145\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 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],\"edges\":[[0,1,38],[0,2,19],[0,4,14],[0,5,64],[0,6,30],[1,3,17],[1,4,98],[1,5,27],[1,6,71],[2,3,88],[2,4,19],[2,5,84],[2,6,90],[3,4,62],[3,6,50],[4,5,85],[4,6,52],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(1,3)=17,(0,2)=19,(2,4)=19,(1,5)=27,(0,6)=30,(0,1)=38,(3,6)=50,(4,6)=52,(3,4)=62,(0,5)=64,(5,6)=64,(1,6)=71,(2,5)=84,(4,5)=85,(2,3)=88,(2,6)=90,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 6}, Find(2)=0, Find(4)=0, Add (2,4)=19 Failed, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=30 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=50 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=90 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,94],[0,5,70],[0,6,18],[1,2,38],[1,3,22],[1,4,18],[2,3,22],[2,4,1],[3,4,90],[3,5,3],[4,5,11],[4,6,64],[5,6,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,94],[0,5,70],[0,6,18],[1,2,38],[1,3,22],[1,4,18],[2,3,22],[2,4,1],[3,4,90],[3,5,3],[4,5,11],[4,6,64],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,94],[0,5,70],[0,6,18],[1,2,38],[1,3,22],[1,4,18],[2,3,22],[2,4,1],[3,4,90],[3,5,3],[4,5,11],[4,6,64],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (1,4)\",\"Add (5,6)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,94],[0,5,70],[0,6,18],[1,2,38],[1,3,22],[1,4,18],[2,3,22],[2,4,1],[3,4,90],[3,5,3],[4,5,11],[4,6,64],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (3,5)=3, w=4\",\"Add (4,5)=11, w=15\",\"Add (0,6)=18, w=33\",\"Add (1,4)=18, w=51\",\"Add (5,6)=27, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,94],[0,5,70],[0,6,18],[1,2,38],[1,3,22],[1,4,18],[2,3,22],[2,4,1],[3,4,90],[3,5,3],[4,5,11],[4,6,64],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (3,5)=3 Succeeded, w=4\",\"Add (4,5)=11 Succeeded, w=15\",\"Add (0,6)=18 Succeeded, w=33\",\"Add (1,4)=18 Succeeded, w=51\",\"Add (1,3)=22 Failed, w=51\",\"Add (2,3)=22 Failed, w=51\",\"Add (5,6)=27 Succeeded, w=78\",\"Add (1,2)=38 Failed, w=78\",\"Add (4,6)=64 Failed, w=78\",\"Add (0,5)=70 Failed, w=78\",\"Add (3,4)=90 Failed, w=78\",\"Add (0,2)=94 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,94],[0,5,70],[0,6,18],[1,2,38],[1,3,22],[1,4,18],[2,3,22],[2,4,1],[3,4,90],[3,5,3],[4,5,11],[4,6,64],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(3,5)=3,(4,5)=11,(0,6)=18,(1,4)=18,(1,3)=22,(2,3)=22,(5,6)=27,(1,2)=38,(4,6)=64,(0,5)=70,(3,4)=90,(0,2)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=4\",\"Find(4)=2, Find(5)=3, Add (4,5)=11 Succeeded, w=15\",\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=33\",\"Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=51\",\"Find(1)=2, Find(3)=2, Add (1,3)=22 Failed, w=51\",\"Find(2)=2, Find(3)=2, Add (2,3)=22 Failed, w=51\",\"Find(5)=2, Find(6)=0, Add (5,6)=27 Succeeded, w=78\",\"Find(1)=2, Find(2)=2, Add (1,2)=38 Failed, w=78\",\"Find(4)=2, Find(6)=2, Add (4,6)=64 Failed, w=78\",\"Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=78\",\"Find(3)=2, Find(4)=2, Add (3,4)=90 Failed, w=78\",\"Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,94],[0,5,70],[0,6,18],[1,2,38],[1,3,22],[1,4,18],[2,3,22],[2,4,1],[3,4,90],[3,5,3],[4,5,11],[4,6,64],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(3,5)=3,(4,5)=11,(0,6)=18,(1,4)=18,(1,3)=22,(2,3)=22,(5,6)=27,(1,2)=38,(4,6)=64,(0,5)=70,(3,4)=90,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 6}, Find(4)=2, Find(5)=3, Add (4,5)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 0}, Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 0}, Find(1)=2, Find(3)=2, Add (1,3)=22 Failed, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 0}, Find(2)=2, Find(3)=2, Add (2,3)=22 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(5)=2, Find(6)=0, Add (5,6)=27 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(1)=2, Find(2)=2, Add (1,2)=38 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=64 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=90 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,99],[0,2,70],[0,3,85],[0,4,9],[1,2,19],[1,3,74],[1,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,70],[0,3,85],[0,4,9],[1,2,19],[1,3,74],[1,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,70],[0,3,85],[0,4,9],[1,2,19],[1,3,74],[1,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,70],[0,3,85],[0,4,9],[1,2,19],[1,3,74],[1,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (1,2)=19, w=28\",\"Add (1,4)=46, w=74\",\"Add (1,3)=74, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,70],[0,3,85],[0,4,9],[1,2,19],[1,3,74],[1,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (1,2)=19 Succeeded, w=28\",\"Add (1,4)=46 Succeeded, w=74\",\"Add (0,2)=70 Failed, w=74\",\"Add (1,3)=74 Succeeded, w=148\",\"Add (0,3)=85 Failed, w=148\",\"Add (0,1)=99 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,70],[0,3,85],[0,4,9],[1,2,19],[1,3,74],[1,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(1,2)=19,(1,4)=46,(0,2)=70,(1,3)=74,(0,3)=85,(0,1)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=28\",\"Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=74\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=74\",\"Find(1)=1, Find(3)=3, Add (1,3)=74 Succeeded, w=148\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=148\",\"Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,70],[0,3,85],[0,4,9],[1,2,19],[1,3,74],[1,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(1,2)=19,(1,4)=46,(0,2)=70,(1,3)=74,(0,3)=85,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=74 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,43],[0,4,48],[1,2,80],[1,3,46],[1,4,43],[2,3,85],[2,4,39],[3,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,4,48],[1,2,80],[1,3,46],[1,4,43],[2,3,85],[2,4,39],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,4,48],[1,2,80],[1,3,46],[1,4,43],[2,3,85],[2,4,39],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,4,48],[1,2,80],[1,3,46],[1,4,43],[2,3,85],[2,4,39],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=39, w=39\",\"Add (0,2)=43, w=82\",\"Add (1,4)=43, w=125\",\"Add (1,3)=46, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,4,48],[1,2,80],[1,3,46],[1,4,43],[2,3,85],[2,4,39],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=39 Succeeded, w=39\",\"Add (0,2)=43 Succeeded, w=82\",\"Add (1,4)=43 Succeeded, w=125\",\"Add (1,3)=46 Succeeded, w=171\",\"Add (0,4)=48 Failed, w=171\",\"Add (1,2)=80 Failed, w=171\",\"Add (3,4)=84 Failed, w=171\",\"Add (2,3)=85 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,4,48],[1,2,80],[1,3,46],[1,4,43],[2,3,85],[2,4,39],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=39,(0,2)=43,(1,4)=43,(1,3)=46,(0,4)=48,(1,2)=80,(3,4)=84,(2,3)=85]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=39 Succeeded, w=39\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=82\",\"Find(1)=1, Find(4)=2, Add (1,4)=43 Succeeded, w=125\",\"Find(1)=2, Find(3)=3, Add (1,3)=46 Succeeded, w=171\",\"Find(0)=2, Find(4)=2, Add (0,4)=48 Failed, w=171\",\"Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=171\",\"Find(3)=2, Find(4)=2, Add (3,4)=84 Failed, w=171\",\"Find(2)=2, Find(3)=2, Add (2,3)=85 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,4,48],[1,2,80],[1,3,46],[1,4,43],[2,3,85],[2,4,39],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=39,(0,2)=43,(1,4)=43,(1,3)=46,(0,4)=48,(1,2)=80,(3,4)=84,(2,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=39 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=43 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=46 Succeeded, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=48 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=84 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=85 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,14],[0,2,5],[0,3,27],[0,4,8],[1,3,25],[1,4,51],[1,5,69],[1,6,32],[2,3,23],[2,4,84],[2,6,63],[2,7,32],[3,4,98],[4,5,12],[4,7,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,27],[0,4,8],[1,3,25],[1,4,51],[1,5,69],[1,6,32],[2,3,23],[2,4,84],[2,6,63],[2,7,32],[3,4,98],[4,5,12],[4,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,27],[0,4,8],[1,3,25],[1,4,51],[1,5,69],[1,6,32],[2,3,23],[2,4,84],[2,6,63],[2,7,32],[3,4,98],[4,5,12],[4,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (2,7)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,27],[0,4,8],[1,3,25],[1,4,51],[1,5,69],[1,6,32],[2,3,23],[2,4,84],[2,6,63],[2,7,32],[3,4,98],[4,5,12],[4,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (0,4)=8, w=13\",\"Add (4,5)=12, w=25\",\"Add (0,1)=14, w=39\",\"Add (2,3)=23, w=62\",\"Add (1,6)=32, w=94\",\"Add (2,7)=32, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,27],[0,4,8],[1,3,25],[1,4,51],[1,5,69],[1,6,32],[2,3,23],[2,4,84],[2,6,63],[2,7,32],[3,4,98],[4,5,12],[4,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (0,4)=8 Succeeded, w=13\",\"Add (4,5)=12 Succeeded, w=25\",\"Add (0,1)=14 Succeeded, w=39\",\"Add (2,3)=23 Succeeded, w=62\",\"Add (1,3)=25 Failed, w=62\",\"Add (0,3)=27 Failed, w=62\",\"Add (1,6)=32 Succeeded, w=94\",\"Add (2,7)=32 Succeeded, w=126\",\"Add (1,4)=51 Failed, w=126\",\"Add (2,6)=63 Failed, w=126\",\"Add (4,7)=68 Failed, w=126\",\"Add (1,5)=69 Failed, w=126\",\"Add (2,4)=84 Failed, w=126\",\"Add (3,4)=98 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,27],[0,4,8],[1,3,25],[1,4,51],[1,5,69],[1,6,32],[2,3,23],[2,4,84],[2,6,63],[2,7,32],[3,4,98],[4,5,12],[4,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,4)=8,(4,5)=12,(0,1)=14,(2,3)=23,(1,3)=25,(0,3)=27,(1,6)=32,(2,7)=32,(1,4)=51,(2,6)=63,(4,7)=68,(1,5)=69,(2,4)=84,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=13\",\"Find(4)=0, Find(5)=5, Add (4,5)=12 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=39\",\"Find(2)=0, Find(3)=3, Add (2,3)=23 Succeeded, w=62\",\"Find(1)=0, Find(3)=0, Add (1,3)=25 Failed, w=62\",\"Find(0)=0, Find(3)=0, Add (0,3)=27 Failed, w=62\",\"Find(1)=0, Find(6)=6, Add (1,6)=32 Succeeded, w=94\",\"Find(2)=0, Find(7)=7, Add (2,7)=32 Succeeded, w=126\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=126\",\"Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=126\",\"Find(4)=0, Find(7)=0, Add (4,7)=68 Failed, w=126\",\"Find(1)=0, Find(5)=0, Add (1,5)=69 Failed, w=126\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=126\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,27],[0,4,8],[1,3,25],[1,4,51],[1,5,69],[1,6,32],[2,3,23],[2,4,84],[2,6,63],[2,7,32],[3,4,98],[4,5,12],[4,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,4)=8,(4,5)=12,(0,1)=14,(2,3)=23,(1,3)=25,(0,3)=27,(1,6)=32,(2,7)=32,(1,4)=51,(2,6)=63,(4,7)=68,(1,5)=69,(2,4)=84,(3,4)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=23 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(3)=0, Add (1,3)=25 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=27 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(6)=6, Add (1,6)=32 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=32 Succeeded, w=126\",\"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)=51 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=126\",\"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=126\",\"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)=69 Failed, w=126\",\"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)=84 Failed, w=126\",\"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)=98 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,14],[0,2,15],[0,5,63],[1,2,34],[1,3,73],[1,4,34],[1,5,81],[2,3,81],[2,4,48],[3,4,15],[4,5,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,15],[0,5,63],[1,2,34],[1,3,73],[1,4,34],[1,5,81],[2,3,81],[2,4,48],[3,4,15],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,15],[0,5,63],[1,2,34],[1,3,73],[1,4,34],[1,5,81],[2,3,81],[2,4,48],[3,4,15],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,5)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,15],[0,5,63],[1,2,34],[1,3,73],[1,4,34],[1,5,81],[2,3,81],[2,4,48],[3,4,15],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (0,2)=15, w=29\",\"Add (3,4)=15, w=44\",\"Add (1,4)=34, w=78\",\"Add (0,5)=63, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,15],[0,5,63],[1,2,34],[1,3,73],[1,4,34],[1,5,81],[2,3,81],[2,4,48],[3,4,15],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (0,2)=15 Succeeded, w=29\",\"Add (3,4)=15 Succeeded, w=44\",\"Add (1,2)=34 Failed, w=44\",\"Add (1,4)=34 Succeeded, w=78\",\"Add (2,4)=48 Failed, w=78\",\"Add (0,5)=63 Succeeded, w=141\",\"Add (1,3)=73 Failed, w=141\",\"Add (4,5)=77 Failed, w=141\",\"Add (1,5)=81 Failed, w=141\",\"Add (2,3)=81 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,15],[0,5,63],[1,2,34],[1,3,73],[1,4,34],[1,5,81],[2,3,81],[2,4,48],[3,4,15],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,2)=15,(3,4)=15,(1,2)=34,(1,4)=34,(2,4)=48,(0,5)=63,(1,3)=73,(4,5)=77,(1,5)=81,(2,3)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=29\",\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=44\",\"Find(1)=0, Find(2)=0, Add (1,2)=34 Failed, w=44\",\"Find(1)=0, Find(4)=3, Add (1,4)=34 Succeeded, w=78\",\"Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=78\",\"Find(0)=0, Find(5)=5, Add (0,5)=63 Succeeded, w=141\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=141\",\"Find(4)=0, Find(5)=0, Add (4,5)=77 Failed, w=141\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=141\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,15],[0,5,63],[1,2,34],[1,3,73],[1,4,34],[1,5,81],[2,3,81],[2,4,48],[3,4,15],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,2)=15,(3,4)=15,(1,2)=34,(1,4)=34,(2,4)=48,(0,5)=63,(1,3)=73,(4,5)=77,(1,5)=81,(2,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5}, Find(1)=0, Find(2)=0, Add (1,2)=34 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 5}, Find(1)=0, Find(4)=3, Add (1,4)=34 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=63 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=77 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,64],[0,4,7],[1,2,35],[1,3,47],[2,3,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,4,7],[1,2,35],[1,3,47],[2,3,32]]}",
"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\":[[0,2,64],[0,4,7],[1,2,35],[1,3,47],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,4,7],[1,2,35],[1,3,47],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (2,3)=32, w=39\",\"Add (1,2)=35, w=74\",\"Add (0,2)=64, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,4,7],[1,2,35],[1,3,47],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (2,3)=32 Succeeded, w=39\",\"Add (1,2)=35 Succeeded, w=74\",\"Add (1,3)=47 Failed, w=74\",\"Add (0,2)=64 Succeeded, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,4,7],[1,2,35],[1,3,47],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(2,3)=32,(1,2)=35,(1,3)=47,(0,2)=64]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=74\",\"Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=74\",\"Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,4,7],[1,2,35],[1,3,47],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(2,3)=32,(1,2)=35,(1,3)=47,(0,2)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=39\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=74\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=74\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,8],[0,2,33],[0,3,55],[0,4,30],[0,5,9],[1,2,58],[1,3,57],[1,4,27],[2,3,95],[2,4,34],[2,5,97],[3,4,16],[3,5,13],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,33],[0,3,55],[0,4,30],[0,5,9],[1,2,58],[1,3,57],[1,4,27],[2,3,95],[2,4,34],[2,5,97],[3,4,16],[3,5,13],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,33],[0,3,55],[0,4,30],[0,5,9],[1,2,58],[1,3,57],[1,4,27],[2,3,95],[2,4,34],[2,5,97],[3,4,16],[3,5,13],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,33],[0,3,55],[0,4,30],[0,5,9],[1,2,58],[1,3,57],[1,4,27],[2,3,95],[2,4,34],[2,5,97],[3,4,16],[3,5,13],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,5)=9, w=17\",\"Add (3,5)=13, w=30\",\"Add (3,4)=16, w=46\",\"Add (0,2)=33, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,33],[0,3,55],[0,4,30],[0,5,9],[1,2,58],[1,3,57],[1,4,27],[2,3,95],[2,4,34],[2,5,97],[3,4,16],[3,5,13],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,5)=9 Succeeded, w=17\",\"Add (3,5)=13 Succeeded, w=30\",\"Add (3,4)=16 Succeeded, w=46\",\"Add (1,4)=27 Failed, w=46\",\"Add (0,4)=30 Failed, w=46\",\"Add (4,5)=31 Failed, w=46\",\"Add (0,2)=33 Succeeded, w=79\",\"Add (2,4)=34 Failed, w=79\",\"Add (0,3)=55 Failed, w=79\",\"Add (1,3)=57 Failed, w=79\",\"Add (1,2)=58 Failed, w=79\",\"Add (2,3)=95 Failed, w=79\",\"Add (2,5)=97 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,33],[0,3,55],[0,4,30],[0,5,9],[1,2,58],[1,3,57],[1,4,27],[2,3,95],[2,4,34],[2,5,97],[3,4,16],[3,5,13],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,5)=9,(3,5)=13,(3,4)=16,(1,4)=27,(0,4)=30,(4,5)=31,(0,2)=33,(2,4)=34,(0,3)=55,(1,3)=57,(1,2)=58,(2,3)=95,(2,5)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=17\",\"Find(3)=3, Find(5)=0, Add (3,5)=13 Succeeded, w=30\",\"Find(3)=0, Find(4)=4, Add (3,4)=16 Succeeded, w=46\",\"Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=46\",\"Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=46\",\"Find(4)=0, Find(5)=0, Add (4,5)=31 Failed, w=46\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=79\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=79\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=79\",\"Find(2)=0, Find(5)=0, Add (2,5)=97 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,33],[0,3,55],[0,4,30],[0,5,9],[1,2,58],[1,3,57],[1,4,27],[2,3,95],[2,4,34],[2,5,97],[3,4,16],[3,5,13],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,5)=9,(3,5)=13,(3,4)=16,(1,4)=27,(0,4)=30,(4,5)=31,(0,2)=33,(2,4)=34,(0,3)=55,(1,3)=57,(1,2)=58,(2,3)=95,(2,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=13 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=16 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=31 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=97 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,4],[0,5,25],[0,6,43],[1,2,72],[2,4,37],[2,5,4],[2,6,18],[3,4,55],[3,5,97],[4,5,39],[4,6,49],[5,6,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,5,25],[0,6,43],[1,2,72],[2,4,37],[2,5,4],[2,6,18],[3,4,55],[3,5,97],[4,5,39],[4,6,49],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,5,25],[0,6,43],[1,2,72],[2,4,37],[2,5,4],[2,6,18],[3,4,55],[3,5,97],[4,5,39],[4,6,49],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,5,25],[0,6,43],[1,2,72],[2,4,37],[2,5,4],[2,6,18],[3,4,55],[3,5,97],[4,5,39],[4,6,49],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (2,5)=4, w=8\",\"Add (2,6)=18, w=26\",\"Add (0,5)=25, w=51\",\"Add (2,4)=37, w=88\",\"Add (3,4)=55, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,5,25],[0,6,43],[1,2,72],[2,4,37],[2,5,4],[2,6,18],[3,4,55],[3,5,97],[4,5,39],[4,6,49],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (2,5)=4 Succeeded, w=8\",\"Add (2,6)=18 Succeeded, w=26\",\"Add (5,6)=23 Failed, w=26\",\"Add (0,5)=25 Succeeded, w=51\",\"Add (2,4)=37 Succeeded, w=88\",\"Add (4,5)=39 Failed, w=88\",\"Add (0,6)=43 Failed, w=88\",\"Add (4,6)=49 Failed, w=88\",\"Add (3,4)=55 Succeeded, w=143\",\"Add (1,2)=72 Failed, w=143\",\"Add (3,5)=97 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,5,25],[0,6,43],[1,2,72],[2,4,37],[2,5,4],[2,6,18],[3,4,55],[3,5,97],[4,5,39],[4,6,49],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,5)=4,(2,6)=18,(5,6)=23,(0,5)=25,(2,4)=37,(4,5)=39,(0,6)=43,(4,6)=49,(3,4)=55,(1,2)=72,(3,5)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=8\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=26\",\"Find(5)=2, Find(6)=2, Add (5,6)=23 Failed, w=26\",\"Find(0)=0, Find(5)=2, Add (0,5)=25 Succeeded, w=51\",\"Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=88\",\"Find(4)=0, Find(5)=0, Add (4,5)=39 Failed, w=88\",\"Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=88\",\"Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=88\",\"Find(3)=3, Find(4)=0, Add (3,4)=55 Succeeded, w=143\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=143\",\"Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,5,25],[0,6,43],[1,2,72],[2,4,37],[2,5,4],[2,6,18],[3,4,55],[3,5,97],[4,5,39],[4,6,49],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,5)=4,(2,6)=18,(5,6)=23,(0,5)=25,(2,4)=37,(4,5)=39,(0,6)=43,(4,6)=49,(3,4)=55,(1,2)=72,(3,5)=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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=23 Failed, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2, 6: 2}, Find(0)=0, Find(5)=2, Add (0,5)=25 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 2}, Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2}, Find(4)=0, Find(5)=0, Add (4,5)=39 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=55 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,1],[0,3,28],[0,4,88],[0,5,87],[0,6,77],[0,7,95],[1,2,82],[1,3,71],[1,4,67],[1,5,29],[1,6,70],[1,7,19],[2,3,38],[2,4,81],[2,5,85],[2,6,32],[2,7,10],[3,4,34],[3,5,12],[3,6,43],[3,7,75],[4,5,18],[4,6,31],[4,7,57],[5,6,10],[5,7,51],[6,7,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,3,28],[0,4,88],[0,5,87],[0,6,77],[0,7,95],[1,2,82],[1,3,71],[1,4,67],[1,5,29],[1,6,70],[1,7,19],[2,3,38],[2,4,81],[2,5,85],[2,6,32],[2,7,10],[3,4,34],[3,5,12],[3,6,43],[3,7,75],[4,5,18],[4,6,31],[4,7,57],[5,6,10],[5,7,51],[6,7,91]]}",
"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\":[[0,1,1],[0,3,28],[0,4,88],[0,5,87],[0,6,77],[0,7,95],[1,2,82],[1,3,71],[1,4,67],[1,5,29],[1,6,70],[1,7,19],[2,3,38],[2,4,81],[2,5,85],[2,6,32],[2,7,10],[3,4,34],[3,5,12],[3,6,43],[3,7,75],[4,5,18],[4,6,31],[4,7,57],[5,6,10],[5,7,51],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,7)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (1,7)\",\"Add (0,3)\"],\"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\":[[0,1,1],[0,3,28],[0,4,88],[0,5,87],[0,6,77],[0,7,95],[1,2,82],[1,3,71],[1,4,67],[1,5,29],[1,6,70],[1,7,19],[2,3,38],[2,4,81],[2,5,85],[2,6,32],[2,7,10],[3,4,34],[3,5,12],[3,6,43],[3,7,75],[4,5,18],[4,6,31],[4,7,57],[5,6,10],[5,7,51],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (2,7)=10, w=11\",\"Add (5,6)=10, w=21\",\"Add (3,5)=12, w=33\",\"Add (4,5)=18, w=51\",\"Add (1,7)=19, w=70\",\"Add (0,3)=28, 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\":[[0,1,1],[0,3,28],[0,4,88],[0,5,87],[0,6,77],[0,7,95],[1,2,82],[1,3,71],[1,4,67],[1,5,29],[1,6,70],[1,7,19],[2,3,38],[2,4,81],[2,5,85],[2,6,32],[2,7,10],[3,4,34],[3,5,12],[3,6,43],[3,7,75],[4,5,18],[4,6,31],[4,7,57],[5,6,10],[5,7,51],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (2,7)=10 Succeeded, w=11\",\"Add (5,6)=10 Succeeded, w=21\",\"Add (3,5)=12 Succeeded, w=33\",\"Add (4,5)=18 Succeeded, w=51\",\"Add (1,7)=19 Succeeded, w=70\",\"Add (0,3)=28 Succeeded, w=98\",\"Add (1,5)=29 Failed, w=98\",\"Add (4,6)=31 Failed, w=98\",\"Add (2,6)=32 Failed, w=98\",\"Add (3,4)=34 Failed, w=98\",\"Add (2,3)=38 Failed, w=98\",\"Add (3,6)=43 Failed, w=98\",\"Add (5,7)=51 Failed, w=98\",\"Add (4,7)=57 Failed, w=98\",\"Add (1,4)=67 Failed, w=98\",\"Add (1,6)=70 Failed, w=98\",\"Add (1,3)=71 Failed, w=98\",\"Add (3,7)=75 Failed, w=98\",\"Add (0,6)=77 Failed, w=98\",\"Add (2,4)=81 Failed, w=98\",\"Add (1,2)=82 Failed, w=98\",\"Add (2,5)=85 Failed, w=98\",\"Add (0,5)=87 Failed, w=98\",\"Add (0,4)=88 Failed, w=98\",\"Add (6,7)=91 Failed, w=98\",\"Add (0,7)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,3,28],[0,4,88],[0,5,87],[0,6,77],[0,7,95],[1,2,82],[1,3,71],[1,4,67],[1,5,29],[1,6,70],[1,7,19],[2,3,38],[2,4,81],[2,5,85],[2,6,32],[2,7,10],[3,4,34],[3,5,12],[3,6,43],[3,7,75],[4,5,18],[4,6,31],[4,7,57],[5,6,10],[5,7,51],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(2,7)=10,(5,6)=10,(3,5)=12,(4,5)=18,(1,7)=19,(0,3)=28,(1,5)=29,(4,6)=31,(2,6)=32,(3,4)=34,(2,3)=38,(3,6)=43,(5,7)=51,(4,7)=57,(1,4)=67,(1,6)=70,(1,3)=71,(3,7)=75,(0,6)=77,(2,4)=81,(1,2)=82,(2,5)=85,(0,5)=87,(0,4)=88,(6,7)=91,(0,7)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=11\",\"Find(5)=5, Find(6)=6, Add (5,6)=10 Succeeded, w=21\",\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=33\",\"Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=51\",\"Find(1)=0, Find(7)=2, Add (1,7)=19 Succeeded, w=70\",\"Find(0)=0, Find(3)=5, Add (0,3)=28 Succeeded, w=98\",\"Find(1)=0, Find(5)=0, Add (1,5)=29 Failed, w=98\",\"Find(4)=0, Find(6)=0, Add (4,6)=31 Failed, w=98\",\"Find(2)=0, Find(6)=0, Add (2,6)=32 Failed, w=98\",\"Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=98\",\"Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=98\",\"Find(5)=0, Find(7)=0, Add (5,7)=51 Failed, w=98\",\"Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=98\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=98\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=98\",\"Find(3)=0, Find(7)=0, Add (3,7)=75 Failed, w=98\",\"Find(0)=0, Find(6)=0, Add (0,6)=77 Failed, w=98\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=98\",\"Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=98\",\"Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=98\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=98\",\"Find(6)=0, Find(7)=0, Add (6,7)=91 Failed, w=98\",\"Find(0)=0, Find(7)=0, Add (0,7)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,3,28],[0,4,88],[0,5,87],[0,6,77],[0,7,95],[1,2,82],[1,3,71],[1,4,67],[1,5,29],[1,6,70],[1,7,19],[2,3,38],[2,4,81],[2,5,85],[2,6,32],[2,7,10],[3,4,34],[3,5,12],[3,6,43],[3,7,75],[4,5,18],[4,6,31],[4,7,57],[5,6,10],[5,7,51],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(2,7)=10,(5,6)=10,(3,5)=12,(4,5)=18,(1,7)=19,(0,3)=28,(1,5)=29,(4,6)=31,(2,6)=32,(3,4)=34,(2,3)=38,(3,6)=43,(5,7)=51,(4,7)=57,(1,4)=67,(1,6)=70,(1,3)=71,(3,7)=75,(0,6)=77,(2,4)=81,(1,2)=82,(2,5)=85,(0,5)=87,(0,4)=88,(6,7)=91,(0,7)=95]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5, 7: 2}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 2}, Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 5, 5: 5, 6: 5, 7: 2}, Find(1)=0, Find(7)=2, Add (1,7)=19 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 5, 5: 0, 6: 5, 7: 2}, Find(0)=0, Find(3)=5, Add (0,3)=28 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 5, 5: 0, 6: 5, 7: 2}, Find(1)=0, Find(5)=0, Add (1,5)=29 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0, 7: 2}, Find(4)=0, Find(6)=0, Add (4,6)=31 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(6)=0, Add (2,6)=32 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=51 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)=57 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)=67 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)=70 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)=71 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)=75 Failed, w=98\",\"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)=77 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=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)=82 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)=85 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=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)=88 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)=91 Failed, w=98\",\"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)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,61],[0,2,30],[0,3,11],[1,2,85],[1,3,48],[2,3,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,30],[0,3,11],[1,2,85],[1,3,48],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,30],[0,3,11],[1,2,85],[1,3,48],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,30],[0,3,11],[1,2,85],[1,3,48],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (2,3)=20, w=31\",\"Add (1,3)=48, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,30],[0,3,11],[1,2,85],[1,3,48],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (2,3)=20 Succeeded, w=31\",\"Add (0,2)=30 Failed, w=31\",\"Add (1,3)=48 Succeeded, w=79\",\"Add (0,1)=61 Failed, w=79\",\"Add (1,2)=85 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,30],[0,3,11],[1,2,85],[1,3,48],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(2,3)=20,(0,2)=30,(1,3)=48,(0,1)=61,(1,2)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(3)=0, Add (2,3)=20 Succeeded, w=31\",\"Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=31\",\"Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,30],[0,3,11],[1,2,85],[1,3,48],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(2,3)=20,(0,2)=30,(1,3)=48,(0,1)=61,(1,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=20 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,0],[1,2,56],[1,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,2,56],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,2,56],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,2,56],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (1,3)=29, w=29\",\"Add (1,2)=56, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,2,56],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (1,3)=29 Succeeded, w=29\",\"Add (1,2)=56 Succeeded, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,2,56],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=29,(1,2)=56]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=29\",\"Find(1)=0, Find(2)=2, Add (1,2)=56 Succeeded, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[1,2,56],[1,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=29,(1,2)=56]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=56 Succeeded, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,22],[0,4,15],[0,5,87],[1,2,10],[1,3,84],[1,4,59],[2,3,54],[2,4,49],[2,5,71],[3,4,99],[3,5,63],[4,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,22],[0,4,15],[0,5,87],[1,2,10],[1,3,84],[1,4,59],[2,3,54],[2,4,49],[2,5,71],[3,4,99],[3,5,63],[4,5,16]]}",
"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\":[[0,3,22],[0,4,15],[0,5,87],[1,2,10],[1,3,84],[1,4,59],[2,3,54],[2,4,49],[2,5,71],[3,4,99],[3,5,63],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,22],[0,4,15],[0,5,87],[1,2,10],[1,3,84],[1,4,59],[2,3,54],[2,4,49],[2,5,71],[3,4,99],[3,5,63],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (0,4)=15, w=25\",\"Add (4,5)=16, w=41\",\"Add (0,3)=22, w=63\",\"Add (2,4)=49, 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\":[[0,3,22],[0,4,15],[0,5,87],[1,2,10],[1,3,84],[1,4,59],[2,3,54],[2,4,49],[2,5,71],[3,4,99],[3,5,63],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (0,4)=15 Succeeded, w=25\",\"Add (4,5)=16 Succeeded, w=41\",\"Add (0,3)=22 Succeeded, w=63\",\"Add (2,4)=49 Succeeded, w=112\",\"Add (2,3)=54 Failed, w=112\",\"Add (1,4)=59 Failed, w=112\",\"Add (3,5)=63 Failed, w=112\",\"Add (2,5)=71 Failed, w=112\",\"Add (1,3)=84 Failed, w=112\",\"Add (0,5)=87 Failed, w=112\",\"Add (3,4)=99 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\":[[0,3,22],[0,4,15],[0,5,87],[1,2,10],[1,3,84],[1,4,59],[2,3,54],[2,4,49],[2,5,71],[3,4,99],[3,5,63],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,4)=15,(4,5)=16,(0,3)=22,(2,4)=49,(2,3)=54,(1,4)=59,(3,5)=63,(2,5)=71,(1,3)=84,(0,5)=87,(3,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=25\",\"Find(4)=0, Find(5)=5, Add (4,5)=16 Succeeded, w=41\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=63\",\"Find(2)=1, Find(4)=0, Add (2,4)=49 Succeeded, w=112\",\"Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=112\",\"Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=112\",\"Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=112\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=112\",\"Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=112\",\"Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=112\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 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\":[[0,3,22],[0,4,15],[0,5,87],[1,2,10],[1,3,84],[1,4,59],[2,3,54],[2,4,49],[2,5,71],[3,4,99],[3,5,63],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,4)=15,(4,5)=16,(0,3)=22,(2,4)=49,(2,3)=54,(1,4)=59,(3,5)=63,(2,5)=71,(1,3)=84,(0,5)=87,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=16 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0}, Find(2)=1, Find(4)=0, Add (2,4)=49 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(2)=1, Find(3)=1, Add (2,3)=54 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,60],[0,3,79],[1,2,36],[1,3,98],[2,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,60],[0,3,79],[1,2,36],[1,3,98],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,60],[0,3,79],[1,2,36],[1,3,98],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,60],[0,3,79],[1,2,36],[1,3,98],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=36, w=36\",\"Add (1,2)=36, w=72\",\"Add (0,3)=79, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,60],[0,3,79],[1,2,36],[1,3,98],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=36 Succeeded, w=36\",\"Add (1,2)=36 Succeeded, w=72\",\"Add (0,2)=60 Failed, w=72\",\"Add (0,3)=79 Succeeded, w=151\",\"Add (2,3)=85 Failed, w=151\",\"Add (1,3)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,60],[0,3,79],[1,2,36],[1,3,98],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=36,(1,2)=36,(0,2)=60,(0,3)=79,(2,3)=85,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=36\",\"Find(1)=0, Find(2)=2, Add (1,2)=36 Succeeded, w=72\",\"Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=72\",\"Find(0)=0, Find(3)=3, Add (0,3)=79 Succeeded, w=151\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,60],[0,3,79],[1,2,36],[1,3,98],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=36,(1,2)=36,(0,2)=60,(0,3)=79,(2,3)=85,(1,3)=98]\",\"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: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=36 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=79 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,10],[0,2,28],[0,3,44],[1,2,22],[1,3,96],[2,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,28],[0,3,44],[1,2,22],[1,3,96],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,28],[0,3,44],[1,2,22],[1,3,96],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,28],[0,3,44],[1,2,22],[1,3,96],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (1,2)=22, w=32\",\"Add (0,3)=44, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,28],[0,3,44],[1,2,22],[1,3,96],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (1,2)=22 Succeeded, w=32\",\"Add (0,2)=28 Failed, w=32\",\"Add (0,3)=44 Succeeded, w=76\",\"Add (2,3)=58 Failed, w=76\",\"Add (1,3)=96 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,28],[0,3,44],[1,2,22],[1,3,96],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,2)=22,(0,2)=28,(0,3)=44,(2,3)=58,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(1)=0, Find(2)=2, Add (1,2)=22 Succeeded, w=32\",\"Find(0)=0, Find(2)=0, Add (0,2)=28 Failed, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=76\",\"Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=76\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,28],[0,3,44],[1,2,22],[1,3,96],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,2)=22,(0,2)=28,(0,3)=44,(2,3)=58,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=22 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=0, Add (0,2)=28 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,19],[0,3,93],[0,5,30],[1,3,26],[2,3,32],[2,4,11],[2,5,91],[3,4,13],[3,5,75],[3,6,82],[4,5,1],[4,6,9],[5,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,93],[0,5,30],[1,3,26],[2,3,32],[2,4,11],[2,5,91],[3,4,13],[3,5,75],[3,6,82],[4,5,1],[4,6,9],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,93],[0,5,30],[1,3,26],[2,3,32],[2,4,11],[2,5,91],[3,4,13],[3,5,75],[3,6,82],[4,5,1],[4,6,9],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,93],[0,5,30],[1,3,26],[2,3,32],[2,4,11],[2,5,91],[3,4,13],[3,5,75],[3,6,82],[4,5,1],[4,6,9],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (4,6)=9, w=10\",\"Add (2,4)=11, w=21\",\"Add (3,4)=13, w=34\",\"Add (0,2)=19, w=53\",\"Add (1,3)=26, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,93],[0,5,30],[1,3,26],[2,3,32],[2,4,11],[2,5,91],[3,4,13],[3,5,75],[3,6,82],[4,5,1],[4,6,9],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (4,6)=9 Succeeded, w=10\",\"Add (2,4)=11 Succeeded, w=21\",\"Add (5,6)=12 Failed, w=21\",\"Add (3,4)=13 Succeeded, w=34\",\"Add (0,2)=19 Succeeded, w=53\",\"Add (1,3)=26 Succeeded, w=79\",\"Add (0,5)=30 Failed, w=79\",\"Add (2,3)=32 Failed, w=79\",\"Add (3,5)=75 Failed, w=79\",\"Add (3,6)=82 Failed, w=79\",\"Add (2,5)=91 Failed, w=79\",\"Add (0,3)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,93],[0,5,30],[1,3,26],[2,3,32],[2,4,11],[2,5,91],[3,4,13],[3,5,75],[3,6,82],[4,5,1],[4,6,9],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(4,6)=9,(2,4)=11,(5,6)=12,(3,4)=13,(0,2)=19,(1,3)=26,(0,5)=30,(2,3)=32,(3,5)=75,(3,6)=82,(2,5)=91,(0,3)=93]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=21\",\"Find(5)=4, Find(6)=4, Add (5,6)=12 Failed, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=34\",\"Find(0)=0, Find(2)=4, Add (0,2)=19 Succeeded, w=53\",\"Find(1)=1, Find(3)=4, Add (1,3)=26 Succeeded, w=79\",\"Find(0)=4, Find(5)=4, Add (0,5)=30 Failed, w=79\",\"Find(2)=4, Find(3)=4, Add (2,3)=32 Failed, w=79\",\"Find(3)=4, Find(5)=4, Add (3,5)=75 Failed, w=79\",\"Find(3)=4, Find(6)=4, Add (3,6)=82 Failed, w=79\",\"Find(2)=4, Find(5)=4, Add (2,5)=91 Failed, w=79\",\"Find(0)=4, Find(3)=4, Add (0,3)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,93],[0,5,30],[1,3,26],[2,3,32],[2,4,11],[2,5,91],[3,4,13],[3,5,75],[3,6,82],[4,5,1],[4,6,9],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(4,6)=9,(2,4)=11,(5,6)=12,(3,4)=13,(0,2)=19,(1,3)=26,(0,5)=30,(2,3)=32,(3,5)=75,(3,6)=82,(2,5)=91,(0,3)=93]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=12 Failed, w=21\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=34\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(2)=4, Add (0,2)=19 Succeeded, w=53\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(3)=4, Add (1,3)=26 Succeeded, w=79\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=30 Failed, w=79\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=32 Failed, w=79\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=75 Failed, w=79\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=82 Failed, w=79\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=91 Failed, w=79\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,2],[0,4,77],[1,2,76],[1,3,34],[1,4,46],[2,3,63],[3,4,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,2],[0,4,77],[1,2,76],[1,3,34],[1,4,46],[2,3,63],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,2],[0,4,77],[1,2,76],[1,3,34],[1,4,46],[2,3,63],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,2],[0,4,77],[1,2,76],[1,3,34],[1,4,46],[2,3,63],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (3,4)=9, w=11\",\"Add (1,3)=34, w=45\",\"Add (2,3)=63, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,2],[0,4,77],[1,2,76],[1,3,34],[1,4,46],[2,3,63],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (3,4)=9 Succeeded, w=11\",\"Add (1,3)=34 Succeeded, w=45\",\"Add (1,4)=46 Failed, w=45\",\"Add (2,3)=63 Succeeded, w=108\",\"Add (1,2)=76 Failed, w=108\",\"Add (0,4)=77 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,2],[0,4,77],[1,2,76],[1,3,34],[1,4,46],[2,3,63],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(3,4)=9,(1,3)=34,(1,4)=46,(2,3)=63,(1,2)=76,(0,4)=77]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=45\",\"Find(1)=3, Find(4)=3, Add (1,4)=46 Failed, w=45\",\"Find(2)=0, Find(3)=3, Add (2,3)=63 Succeeded, w=108\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=108\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,2],[0,4,77],[1,2,76],[1,3,34],[1,4,46],[2,3,63],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(3,4)=9,(1,3)=34,(1,4)=46,(2,3)=63,(1,2)=76,(0,4)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=45\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=46 Failed, w=45\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=3, Add (2,3)=63 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,2,52],[0,3,35],[1,3,58],[2,3,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,52],[0,3,35],[1,3,58],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,52],[0,3,35],[1,3,58],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,52],[0,3,35],[1,3,58],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=35, w=35\",\"Add (2,3)=35, w=70\",\"Add (0,1)=49, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,52],[0,3,35],[1,3,58],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=35 Succeeded, w=35\",\"Add (2,3)=35 Succeeded, w=70\",\"Add (0,1)=49 Succeeded, w=119\",\"Add (0,2)=52 Failed, w=119\",\"Add (1,3)=58 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,52],[0,3,35],[1,3,58],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=35,(2,3)=35,(0,1)=49,(0,2)=52,(1,3)=58]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=35\",\"Find(2)=2, Find(3)=0, Add (2,3)=35 Succeeded, w=70\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=119\",\"Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=119\",\"Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,52],[0,3,35],[1,3,58],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=35,(2,3)=35,(0,1)=49,(0,2)=52,(1,3)=58]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=35 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,3,57],[0,4,22],[1,2,63],[1,3,75],[2,3,58],[3,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,57],[0,4,22],[1,2,63],[1,3,75],[2,3,58],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,57],[0,4,22],[1,2,63],[1,3,75],[2,3,58],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,57],[0,4,22],[1,2,63],[1,3,75],[2,3,58],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,4)=22, w=30\",\"Add (3,4)=52, w=82\",\"Add (2,3)=58, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,57],[0,4,22],[1,2,63],[1,3,75],[2,3,58],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,4)=22 Succeeded, w=30\",\"Add (3,4)=52 Succeeded, w=82\",\"Add (0,3)=57 Failed, w=82\",\"Add (2,3)=58 Succeeded, w=140\",\"Add (1,2)=63 Failed, w=140\",\"Add (1,3)=75 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,57],[0,4,22],[1,2,63],[1,3,75],[2,3,58],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,4)=22,(3,4)=52,(0,3)=57,(2,3)=58,(1,2)=63,(1,3)=75]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=30\",\"Find(3)=3, Find(4)=0, Add (3,4)=52 Succeeded, w=82\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=82\",\"Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=140\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=140\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,57],[0,4,22],[1,2,63],[1,3,75],[2,3,58],[3,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,4)=22,(3,4)=52,(0,3)=57,(2,3)=58,(1,2)=63,(1,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=52 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,14],[0,3,13],[0,4,12],[0,5,90],[1,3,66],[1,4,40],[2,4,27],[2,5,73],[2,6,35],[3,4,47],[3,5,52],[5,6,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,13],[0,4,12],[0,5,90],[1,3,66],[1,4,40],[2,4,27],[2,5,73],[2,6,35],[3,4,47],[3,5,52],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,13],[0,4,12],[0,5,90],[1,3,66],[1,4,40],[2,4,27],[2,5,73],[2,6,35],[3,4,47],[3,5,52],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (3,5)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,13],[0,4,12],[0,5,90],[1,3,66],[1,4,40],[2,4,27],[2,5,73],[2,6,35],[3,4,47],[3,5,52],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=12, w=12\",\"Add (0,3)=13, w=25\",\"Add (0,2)=14, w=39\",\"Add (2,6)=35, w=74\",\"Add (1,4)=40, w=114\",\"Add (3,5)=52, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,13],[0,4,12],[0,5,90],[1,3,66],[1,4,40],[2,4,27],[2,5,73],[2,6,35],[3,4,47],[3,5,52],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=12 Succeeded, w=12\",\"Add (0,3)=13 Succeeded, w=25\",\"Add (0,2)=14 Succeeded, w=39\",\"Add (2,4)=27 Failed, w=39\",\"Add (2,6)=35 Succeeded, w=74\",\"Add (1,4)=40 Succeeded, w=114\",\"Add (3,4)=47 Failed, w=114\",\"Add (3,5)=52 Succeeded, w=166\",\"Add (1,3)=66 Failed, w=166\",\"Add (2,5)=73 Failed, w=166\",\"Add (5,6)=74 Failed, w=166\",\"Add (0,5)=90 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,13],[0,4,12],[0,5,90],[1,3,66],[1,4,40],[2,4,27],[2,5,73],[2,6,35],[3,4,47],[3,5,52],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=12,(0,3)=13,(0,2)=14,(2,4)=27,(2,6)=35,(1,4)=40,(3,4)=47,(3,5)=52,(1,3)=66,(2,5)=73,(5,6)=74,(0,5)=90]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=25\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=39\",\"Find(2)=0, Find(4)=0, Add (2,4)=27 Failed, w=39\",\"Find(2)=0, Find(6)=6, Add (2,6)=35 Succeeded, w=74\",\"Find(1)=1, Find(4)=0, Add (1,4)=40 Succeeded, w=114\",\"Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=114\",\"Find(3)=0, Find(5)=5, Add (3,5)=52 Succeeded, w=166\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=166\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=166\",\"Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=166\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,14],[0,3,13],[0,4,12],[0,5,90],[1,3,66],[1,4,40],[2,4,27],[2,5,73],[2,6,35],[3,4,47],[3,5,52],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=12,(0,3)=13,(0,2)=14,(2,4)=27,(2,6)=35,(1,4)=40,(3,4)=47,(3,5)=52,(1,3)=66,(2,5)=73,(5,6)=74,(0,5)=90]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(2)=0, Find(4)=0, Add (2,4)=27 Failed, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=35 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=40 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=52 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,84],[0,2,82],[0,3,25],[0,4,47],[0,5,53],[0,6,27],[1,2,92],[1,5,15],[1,7,22],[2,7,44],[3,4,93],[3,7,33],[4,5,45],[5,7,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,82],[0,3,25],[0,4,47],[0,5,53],[0,6,27],[1,2,92],[1,5,15],[1,7,22],[2,7,44],[3,4,93],[3,7,33],[4,5,45],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,82],[0,3,25],[0,4,47],[0,5,53],[0,6,27],[1,2,92],[1,5,15],[1,7,22],[2,7,44],[3,4,93],[3,7,33],[4,5,45],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (3,7)\",\"Add (2,7)\",\"Add (4,5)\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,82],[0,3,25],[0,4,47],[0,5,53],[0,6,27],[1,2,92],[1,5,15],[1,7,22],[2,7,44],[3,4,93],[3,7,33],[4,5,45],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=10, w=10\",\"Add (1,5)=15, w=25\",\"Add (0,3)=25, w=50\",\"Add (0,6)=27, w=77\",\"Add (3,7)=33, w=110\",\"Add (2,7)=44, w=154\",\"Add (4,5)=45, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,82],[0,3,25],[0,4,47],[0,5,53],[0,6,27],[1,2,92],[1,5,15],[1,7,22],[2,7,44],[3,4,93],[3,7,33],[4,5,45],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=10 Succeeded, w=10\",\"Add (1,5)=15 Succeeded, w=25\",\"Add (1,7)=22 Failed, w=25\",\"Add (0,3)=25 Succeeded, w=50\",\"Add (0,6)=27 Succeeded, w=77\",\"Add (3,7)=33 Succeeded, w=110\",\"Add (2,7)=44 Succeeded, w=154\",\"Add (4,5)=45 Succeeded, w=199\",\"Add (0,4)=47 Failed, w=199\",\"Add (0,5)=53 Failed, w=199\",\"Add (0,2)=82 Failed, w=199\",\"Add (0,1)=84 Failed, w=199\",\"Add (1,2)=92 Failed, w=199\",\"Add (3,4)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,82],[0,3,25],[0,4,47],[0,5,53],[0,6,27],[1,2,92],[1,5,15],[1,7,22],[2,7,44],[3,4,93],[3,7,33],[4,5,45],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=10,(1,5)=15,(1,7)=22,(0,3)=25,(0,6)=27,(3,7)=33,(2,7)=44,(4,5)=45,(0,4)=47,(0,5)=53,(0,2)=82,(0,1)=84,(1,2)=92,(3,4)=93]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=10 Succeeded, w=10\",\"Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=25\",\"Find(1)=5, Find(7)=5, Add (1,7)=22 Failed, w=25\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=50\",\"Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=77\",\"Find(3)=0, Find(7)=5, Add (3,7)=33 Succeeded, w=110\",\"Find(2)=2, Find(7)=0, Add (2,7)=44 Succeeded, w=154\",\"Find(4)=4, Find(5)=0, Add (4,5)=45 Succeeded, w=199\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=199\",\"Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=199\",\"Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=199\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=199\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=199\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,82],[0,3,25],[0,4,47],[0,5,53],[0,6,27],[1,2,92],[1,5,15],[1,7,22],[2,7,44],[3,4,93],[3,7,33],[4,5,45],[5,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=10,(1,5)=15,(1,7)=22,(0,3)=25,(0,6)=27,(3,7)=33,(2,7)=44,(4,5)=45,(0,4)=47,(0,5)=53,(0,2)=82,(0,1)=84,(1,2)=92,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=22 Failed, w=25\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 5}, Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=77\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 5}, Find(3)=0, Find(7)=5, Add (3,7)=33 Succeeded, w=110\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=44 Succeeded, w=154\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(5)=0, Add (4,5)=45 Succeeded, w=199\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=199\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=199\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=199\",\"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)=84 Failed, w=199\",\"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)=92 Failed, w=199\",\"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)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,2,7],[0,3,84],[2,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,7],[0,3,84],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,7],[0,3,84],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,7],[0,3,84],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (2,3)=52, w=59\",\"Add (0,1)=62, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,7],[0,3,84],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (2,3)=52 Succeeded, w=59\",\"Add (0,1)=62 Succeeded, w=121\",\"Add (0,3)=84 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,7],[0,3,84],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,3)=52,(0,1)=62,(0,3)=84]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(2)=0, Find(3)=3, Add (2,3)=52 Succeeded, w=59\",\"Find(0)=0, Find(1)=1, Add (0,1)=62 Succeeded, w=121\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,7],[0,3,84],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,3)=52,(0,1)=62,(0,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=52 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=62 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,2,77],[0,3,30],[0,4,42],[0,5,6],[0,6,92],[1,3,43],[1,4,93],[1,5,6],[1,6,16],[2,3,83],[2,4,1],[2,5,91],[2,6,54],[3,4,88],[3,5,48],[3,6,38],[4,5,4],[4,6,46],[5,6,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,77],[0,3,30],[0,4,42],[0,5,6],[0,6,92],[1,3,43],[1,4,93],[1,5,6],[1,6,16],[2,3,83],[2,4,1],[2,5,91],[2,6,54],[3,4,88],[3,5,48],[3,6,38],[4,5,4],[4,6,46],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,77],[0,3,30],[0,4,42],[0,5,6],[0,6,92],[1,3,43],[1,4,93],[1,5,6],[1,6,16],[2,3,83],[2,4,1],[2,5,91],[2,6,54],[3,4,88],[3,5,48],[3,6,38],[4,5,4],[4,6,46],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (0,3)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,77],[0,3,30],[0,4,42],[0,5,6],[0,6,92],[1,3,43],[1,4,93],[1,5,6],[1,6,16],[2,3,83],[2,4,1],[2,5,91],[2,6,54],[3,4,88],[3,5,48],[3,6,38],[4,5,4],[4,6,46],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (4,5)=4, w=5\",\"Add (0,5)=6, w=11\",\"Add (1,5)=6, w=17\",\"Add (1,6)=16, w=33\",\"Add (0,3)=30, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,77],[0,3,30],[0,4,42],[0,5,6],[0,6,92],[1,3,43],[1,4,93],[1,5,6],[1,6,16],[2,3,83],[2,4,1],[2,5,91],[2,6,54],[3,4,88],[3,5,48],[3,6,38],[4,5,4],[4,6,46],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (4,5)=4 Succeeded, w=5\",\"Add (0,5)=6 Succeeded, w=11\",\"Add (1,5)=6 Succeeded, w=17\",\"Add (1,6)=16 Succeeded, w=33\",\"Add (0,3)=30 Succeeded, w=63\",\"Add (3,6)=38 Failed, w=63\",\"Add (0,4)=42 Failed, w=63\",\"Add (1,3)=43 Failed, w=63\",\"Add (4,6)=46 Failed, w=63\",\"Add (3,5)=48 Failed, w=63\",\"Add (2,6)=54 Failed, w=63\",\"Add (5,6)=54 Failed, w=63\",\"Add (0,2)=77 Failed, w=63\",\"Add (2,3)=83 Failed, w=63\",\"Add (3,4)=88 Failed, w=63\",\"Add (2,5)=91 Failed, w=63\",\"Add (0,6)=92 Failed, w=63\",\"Add (1,4)=93 Failed, w=63\",\"Add (0,1)=95 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,77],[0,3,30],[0,4,42],[0,5,6],[0,6,92],[1,3,43],[1,4,93],[1,5,6],[1,6,16],[2,3,83],[2,4,1],[2,5,91],[2,6,54],[3,4,88],[3,5,48],[3,6,38],[4,5,4],[4,6,46],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=4,(0,5)=6,(1,5)=6,(1,6)=16,(0,3)=30,(3,6)=38,(0,4)=42,(1,3)=43,(4,6)=46,(3,5)=48,(2,6)=54,(5,6)=54,(0,2)=77,(2,3)=83,(3,4)=88,(2,5)=91,(0,6)=92,(1,4)=93,(0,1)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(4)=2, Find(5)=5, Add (4,5)=4 Succeeded, w=5\",\"Find(0)=0, Find(5)=2, Add (0,5)=6 Succeeded, w=11\",\"Find(1)=1, Find(5)=2, Add (1,5)=6 Succeeded, w=17\",\"Find(1)=2, Find(6)=6, Add (1,6)=16 Succeeded, w=33\",\"Find(0)=2, Find(3)=3, Add (0,3)=30 Succeeded, w=63\",\"Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=63\",\"Find(0)=2, Find(4)=2, Add (0,4)=42 Failed, w=63\",\"Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=63\",\"Find(4)=2, Find(6)=2, Add (4,6)=46 Failed, w=63\",\"Find(3)=2, Find(5)=2, Add (3,5)=48 Failed, w=63\",\"Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=63\",\"Find(5)=2, Find(6)=2, Add (5,6)=54 Failed, w=63\",\"Find(0)=2, Find(2)=2, Add (0,2)=77 Failed, w=63\",\"Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=63\",\"Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=63\",\"Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=63\",\"Find(0)=2, Find(6)=2, Add (0,6)=92 Failed, w=63\",\"Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=63\",\"Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,77],[0,3,30],[0,4,42],[0,5,6],[0,6,92],[1,3,43],[1,4,93],[1,5,6],[1,6,16],[2,3,83],[2,4,1],[2,5,91],[2,6,54],[3,4,88],[3,5,48],[3,6,38],[4,5,4],[4,6,46],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=4,(0,5)=6,(1,5)=6,(1,6)=16,(0,3)=30,(3,6)=38,(0,4)=42,(1,3)=43,(4,6)=46,(3,5)=48,(2,6)=54,(5,6)=54,(0,2)=77,(2,3)=83,(3,4)=88,(2,5)=91,(0,6)=92,(1,4)=93,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(4)=2, Find(5)=5, Add (4,5)=4 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(0)=0, Find(5)=2, Add (0,5)=6 Succeeded, w=11\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=6 Succeeded, w=17\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=6, Add (1,6)=16 Succeeded, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=3, Add (0,3)=30 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=42 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=46 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=48 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=54 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=77 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=92 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,51],[0,2,67],[0,3,51],[1,2,88],[1,3,23],[1,4,64],[2,4,21],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,67],[0,3,51],[1,2,88],[1,3,23],[1,4,64],[2,4,21],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,67],[0,3,51],[1,2,88],[1,3,23],[1,4,64],[2,4,21],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,67],[0,3,51],[1,2,88],[1,3,23],[1,4,64],[2,4,21],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=21, w=21\",\"Add (1,3)=23, w=44\",\"Add (0,1)=51, w=95\",\"Add (1,4)=64, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,67],[0,3,51],[1,2,88],[1,3,23],[1,4,64],[2,4,21],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=21 Succeeded, w=21\",\"Add (1,3)=23 Succeeded, w=44\",\"Add (0,1)=51 Succeeded, w=95\",\"Add (0,3)=51 Failed, w=95\",\"Add (1,4)=64 Succeeded, w=159\",\"Add (0,2)=67 Failed, w=159\",\"Add (1,2)=88 Failed, w=159\",\"Add (3,4)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,67],[0,3,51],[1,2,88],[1,3,23],[1,4,64],[2,4,21],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=21,(1,3)=23,(0,1)=51,(0,3)=51,(1,4)=64,(0,2)=67,(1,2)=88,(3,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=95\",\"Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=95\",\"Find(1)=1, Find(4)=2, Add (1,4)=64 Succeeded, w=159\",\"Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=159\",\"Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=159\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,67],[0,3,51],[1,2,88],[1,3,23],[1,4,64],[2,4,21],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=21,(1,3)=23,(0,1)=51,(0,3)=51,(1,4)=64,(0,2)=67,(1,2)=88,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=64 Succeeded, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,51],[0,4,6],[0,5,33],[1,3,1],[4,5,55],[4,6,37],[5,6,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,6],[0,5,33],[1,3,1],[4,5,55],[4,6,37],[5,6,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,6],[0,5,33],[1,3,1],[4,5,55],[4,6,37],[5,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (0,3)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,6],[0,5,33],[1,3,1],[4,5,55],[4,6,37],[5,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,4)=6, w=7\",\"Add (0,5)=33, w=40\",\"Add (4,6)=37, w=77\",\"Add (0,3)=51, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,6],[0,5,33],[1,3,1],[4,5,55],[4,6,37],[5,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,4)=6 Succeeded, w=7\",\"Add (0,5)=33 Succeeded, w=40\",\"Add (4,6)=37 Succeeded, w=77\",\"Add (5,6)=43 Failed, w=77\",\"Add (0,3)=51 Succeeded, w=128\",\"Add (4,5)=55 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,6],[0,5,33],[1,3,1],[4,5,55],[4,6,37],[5,6,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,4)=6,(0,5)=33,(4,6)=37,(5,6)=43,(0,3)=51,(4,5)=55]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=33 Succeeded, w=40\",\"Find(4)=0, Find(6)=6, Add (4,6)=37 Succeeded, w=77\",\"Find(5)=0, Find(6)=0, Add (5,6)=43 Failed, w=77\",\"Find(0)=0, Find(3)=1, Add (0,3)=51 Succeeded, w=128\",\"Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,51],[0,4,6],[0,5,33],[1,3,1],[4,5,55],[4,6,37],[5,6,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,4)=6,(0,5)=33,(4,6)=37,(5,6)=43,(0,3)=51,(4,5)=55]\",\"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: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=33 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=37 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=43 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=1, Add (0,3)=51 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,28],[0,3,99],[1,2,29],[1,3,41],[2,3,53],[2,4,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,99],[1,2,29],[1,3,41],[2,3,53],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,99],[1,2,29],[1,3,41],[2,3,53],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,99],[1,2,29],[1,3,41],[2,3,53],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7, w=7\",\"Add (0,2)=28, w=35\",\"Add (1,2)=29, w=64\",\"Add (1,3)=41, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,99],[1,2,29],[1,3,41],[2,3,53],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7 Succeeded, w=7\",\"Add (0,2)=28 Succeeded, w=35\",\"Add (1,2)=29 Succeeded, w=64\",\"Add (1,3)=41 Succeeded, w=105\",\"Add (2,3)=53 Failed, w=105\",\"Add (0,3)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,99],[1,2,29],[1,3,41],[2,3,53],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(0,2)=28,(1,2)=29,(1,3)=41,(2,3)=53,(0,3)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=35\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=64\",\"Find(1)=2, Find(3)=3, Add (1,3)=41 Succeeded, w=105\",\"Find(2)=2, Find(3)=2, Add (2,3)=53 Failed, w=105\",\"Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,99],[1,2,29],[1,3,41],[2,3,53],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(0,2)=28,(1,2)=29,(1,3)=41,(2,3)=53,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=41 Succeeded, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=53 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,20],[0,3,63],[0,4,77],[1,3,68],[1,4,31],[3,4,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,3,63],[0,4,77],[1,3,68],[1,4,31],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,3,63],[0,4,77],[1,3,68],[1,4,31],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,3,63],[0,4,77],[1,3,68],[1,4,31],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=20, w=20\",\"Add (1,4)=31, w=51\",\"Add (0,3)=63, w=114\",\"Add (1,3)=68, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,3,63],[0,4,77],[1,3,68],[1,4,31],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=20 Succeeded, w=20\",\"Add (1,4)=31 Succeeded, w=51\",\"Add (0,3)=63 Succeeded, w=114\",\"Add (1,3)=68 Succeeded, w=182\",\"Add (3,4)=68 Failed, w=182\",\"Add (0,4)=77 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,3,63],[0,4,77],[1,3,68],[1,4,31],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=20,(1,4)=31,(0,3)=63,(1,3)=68,(3,4)=68,(0,4)=77]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=114\",\"Find(1)=1, Find(3)=0, Add (1,3)=68 Succeeded, w=182\",\"Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=182\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,20],[0,3,63],[0,4,77],[1,3,68],[1,4,31],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=20,(1,4)=31,(0,3)=63,(1,3)=68,(3,4)=68,(0,4)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1}, Find(1)=1, Find(3)=0, Add (1,3)=68 Succeeded, w=182\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,11],[0,6,100],[1,3,59],[1,4,2],[1,6,56],[2,4,87],[2,5,59],[2,6,38],[3,4,61],[3,5,77],[3,6,51],[4,5,63],[4,6,63],[5,6,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,11],[0,6,100],[1,3,59],[1,4,2],[1,6,56],[2,4,87],[2,5,59],[2,6,38],[3,4,61],[3,5,77],[3,6,51],[4,5,63],[4,6,63],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,11],[0,6,100],[1,3,59],[1,4,2],[1,6,56],[2,4,87],[2,5,59],[2,6,38],[3,4,61],[3,5,77],[3,6,51],[4,5,63],[4,6,63],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (1,6)\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,11],[0,6,100],[1,3,59],[1,4,2],[1,6,56],[2,4,87],[2,5,59],[2,6,38],[3,4,61],[3,5,77],[3,6,51],[4,5,63],[4,6,63],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (0,3)=11, w=13\",\"Add (2,6)=38, w=51\",\"Add (3,6)=51, w=102\",\"Add (5,6)=54, w=156\",\"Add (1,6)=56, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,11],[0,6,100],[1,3,59],[1,4,2],[1,6,56],[2,4,87],[2,5,59],[2,6,38],[3,4,61],[3,5,77],[3,6,51],[4,5,63],[4,6,63],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (0,3)=11 Succeeded, w=13\",\"Add (2,6)=38 Succeeded, w=51\",\"Add (3,6)=51 Succeeded, w=102\",\"Add (5,6)=54 Succeeded, w=156\",\"Add (1,6)=56 Succeeded, w=212\",\"Add (1,3)=59 Failed, w=212\",\"Add (2,5)=59 Failed, w=212\",\"Add (3,4)=61 Failed, w=212\",\"Add (4,5)=63 Failed, w=212\",\"Add (4,6)=63 Failed, w=212\",\"Add (3,5)=77 Failed, w=212\",\"Add (2,4)=87 Failed, w=212\",\"Add (0,6)=100 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,11],[0,6,100],[1,3,59],[1,4,2],[1,6,56],[2,4,87],[2,5,59],[2,6,38],[3,4,61],[3,5,77],[3,6,51],[4,5,63],[4,6,63],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,3)=11,(2,6)=38,(3,6)=51,(5,6)=54,(1,6)=56,(1,3)=59,(2,5)=59,(3,4)=61,(4,5)=63,(4,6)=63,(3,5)=77,(2,4)=87,(0,6)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=13\",\"Find(2)=2, Find(6)=6, Add (2,6)=38 Succeeded, w=51\",\"Find(3)=0, Find(6)=2, Add (3,6)=51 Succeeded, w=102\",\"Find(5)=5, Find(6)=0, Add (5,6)=54 Succeeded, w=156\",\"Find(1)=1, Find(6)=0, Add (1,6)=56 Succeeded, w=212\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=212\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=212\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=212\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=212\",\"Find(4)=0, Find(6)=0, Add (4,6)=63 Failed, w=212\",\"Find(3)=0, Find(5)=0, Add (3,5)=77 Failed, w=212\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=212\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,11],[0,6,100],[1,3,59],[1,4,2],[1,6,56],[2,4,87],[2,5,59],[2,6,38],[3,4,61],[3,5,77],[3,6,51],[4,5,63],[4,6,63],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,3)=11,(2,6)=38,(3,6)=51,(5,6)=54,(1,6)=56,(1,3)=59,(2,5)=59,(3,4)=61,(4,5)=63,(4,6)=63,(3,5)=77,(2,4)=87,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=38 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5, 6: 2}, Find(3)=0, Find(6)=2, Add (3,6)=51 Succeeded, w=102\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=54 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=56 Succeeded, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=63 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=77 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,60],[0,3,55],[0,4,98],[1,4,60],[1,5,67],[2,5,77],[3,5,44],[4,5,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,55],[0,4,98],[1,4,60],[1,5,67],[2,5,77],[3,5,44],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,55],[0,4,98],[1,4,60],[1,5,67],[2,5,77],[3,5,44],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,55],[0,4,98],[1,4,60],[1,5,67],[2,5,77],[3,5,44],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (3,5)=44, w=44\",\"Add (0,3)=55, w=99\",\"Add (0,2)=60, w=159\",\"Add (1,4)=60, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,55],[0,4,98],[1,4,60],[1,5,67],[2,5,77],[3,5,44],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (3,5)=44 Succeeded, w=44\",\"Add (0,3)=55 Succeeded, w=99\",\"Add (0,2)=60 Succeeded, w=159\",\"Add (1,4)=60 Succeeded, w=219\",\"Add (1,5)=67 Failed, w=219\",\"Add (2,5)=77 Failed, w=219\",\"Add (0,4)=98 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,55],[0,4,98],[1,4,60],[1,5,67],[2,5,77],[3,5,44],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(3,5)=44,(0,3)=55,(0,2)=60,(1,4)=60,(1,5)=67,(2,5)=77,(0,4)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=4, Add (3,5)=44 Succeeded, w=44\",\"Find(0)=0, Find(3)=4, Add (0,3)=55 Succeeded, w=99\",\"Find(0)=4, Find(2)=2, Add (0,2)=60 Succeeded, w=159\",\"Find(1)=1, Find(4)=4, Add (1,4)=60 Succeeded, w=219\",\"Find(1)=4, Find(5)=4, Add (1,5)=67 Failed, w=219\",\"Find(2)=4, Find(5)=4, Add (2,5)=77 Failed, w=219\",\"Find(0)=4, Find(4)=4, Add (0,4)=98 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,3,55],[0,4,98],[1,4,60],[1,5,67],[2,5,77],[3,5,44],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(3,5)=44,(0,3)=55,(0,2)=60,(1,4)=60,(1,5)=67,(2,5)=77,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=44 Succeeded, w=44\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(3)=4, Add (0,3)=55 Succeeded, w=99\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=2, Add (0,2)=60 Succeeded, w=159\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=60 Succeeded, w=219\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=67 Failed, w=219\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=77 Failed, w=219\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=98 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,25],[0,3,96],[0,4,47],[0,5,80],[0,6,1],[1,2,17],[1,3,23],[1,4,100],[1,5,44],[1,6,27],[2,3,34],[2,4,30],[2,5,57],[2,6,52],[3,4,8],[3,5,33],[3,6,18],[4,5,82],[4,6,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,25],[0,3,96],[0,4,47],[0,5,80],[0,6,1],[1,2,17],[1,3,23],[1,4,100],[1,5,44],[1,6,27],[2,3,34],[2,4,30],[2,5,57],[2,6,52],[3,4,8],[3,5,33],[3,6,18],[4,5,82],[4,6,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,25],[0,3,96],[0,4,47],[0,5,80],[0,6,1],[1,2,17],[1,3,23],[1,4,100],[1,5,44],[1,6,27],[2,3,34],[2,4,30],[2,5,57],[2,6,52],[3,4,8],[3,5,33],[3,6,18],[4,5,82],[4,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (3,5)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,25],[0,3,96],[0,4,47],[0,5,80],[0,6,1],[1,2,17],[1,3,23],[1,4,100],[1,5,44],[1,6,27],[2,3,34],[2,4,30],[2,5,57],[2,6,52],[3,4,8],[3,5,33],[3,6,18],[4,5,82],[4,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (3,4)=8, w=9\",\"Add (1,2)=17, w=26\",\"Add (3,6)=18, w=44\",\"Add (1,3)=23, w=67\",\"Add (3,5)=33, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,25],[0,3,96],[0,4,47],[0,5,80],[0,6,1],[1,2,17],[1,3,23],[1,4,100],[1,5,44],[1,6,27],[2,3,34],[2,4,30],[2,5,57],[2,6,52],[3,4,8],[3,5,33],[3,6,18],[4,5,82],[4,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (3,4)=8 Succeeded, w=9\",\"Add (1,2)=17 Succeeded, w=26\",\"Add (3,6)=18 Succeeded, w=44\",\"Add (1,3)=23 Succeeded, w=67\",\"Add (0,2)=25 Failed, w=67\",\"Add (1,6)=27 Failed, w=67\",\"Add (2,4)=30 Failed, w=67\",\"Add (3,5)=33 Succeeded, w=100\",\"Add (2,3)=34 Failed, w=100\",\"Add (4,6)=40 Failed, w=100\",\"Add (1,5)=44 Failed, w=100\",\"Add (0,4)=47 Failed, w=100\",\"Add (2,6)=52 Failed, w=100\",\"Add (2,5)=57 Failed, w=100\",\"Add (0,5)=80 Failed, w=100\",\"Add (4,5)=82 Failed, w=100\",\"Add (0,1)=84 Failed, w=100\",\"Add (0,3)=96 Failed, w=100\",\"Add (1,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,25],[0,3,96],[0,4,47],[0,5,80],[0,6,1],[1,2,17],[1,3,23],[1,4,100],[1,5,44],[1,6,27],[2,3,34],[2,4,30],[2,5,57],[2,6,52],[3,4,8],[3,5,33],[3,6,18],[4,5,82],[4,6,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(3,4)=8,(1,2)=17,(3,6)=18,(1,3)=23,(0,2)=25,(1,6)=27,(2,4)=30,(3,5)=33,(2,3)=34,(4,6)=40,(1,5)=44,(0,4)=47,(2,6)=52,(2,5)=57,(0,5)=80,(4,5)=82,(0,1)=84,(0,3)=96,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=26\",\"Find(3)=3, Find(6)=0, Add (3,6)=18 Succeeded, w=44\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=67\",\"Find(0)=3, Find(2)=3, Add (0,2)=25 Failed, w=67\",\"Find(1)=3, Find(6)=3, Add (1,6)=27 Failed, w=67\",\"Find(2)=3, Find(4)=3, Add (2,4)=30 Failed, w=67\",\"Find(3)=3, Find(5)=5, Add (3,5)=33 Succeeded, w=100\",\"Find(2)=3, Find(3)=3, Add (2,3)=34 Failed, w=100\",\"Find(4)=3, Find(6)=3, Add (4,6)=40 Failed, w=100\",\"Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=100\",\"Find(0)=3, Find(4)=3, Add (0,4)=47 Failed, w=100\",\"Find(2)=3, Find(6)=3, Add (2,6)=52 Failed, w=100\",\"Find(2)=3, Find(5)=3, Add (2,5)=57 Failed, w=100\",\"Find(0)=3, Find(5)=3, Add (0,5)=80 Failed, w=100\",\"Find(4)=3, Find(5)=3, Add (4,5)=82 Failed, w=100\",\"Find(0)=3, Find(1)=3, Add (0,1)=84 Failed, w=100\",\"Find(0)=3, Find(3)=3, Add (0,3)=96 Failed, w=100\",\"Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,25],[0,3,96],[0,4,47],[0,5,80],[0,6,1],[1,2,17],[1,3,23],[1,4,100],[1,5,44],[1,6,27],[2,3,34],[2,4,30],[2,5,57],[2,6,52],[3,4,8],[3,5,33],[3,6,18],[4,5,82],[4,6,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(3,4)=8,(1,2)=17,(3,6)=18,(1,3)=23,(0,2)=25,(1,6)=27,(2,4)=30,(3,5)=33,(2,3)=34,(4,6)=40,(1,5)=44,(0,4)=47,(2,6)=52,(2,5)=57,(0,5)=80,(4,5)=82,(0,1)=84,(0,3)=96,(1,4)=100]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=26\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=18 Succeeded, w=44\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 5, 6: 0}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 0}, Find(0)=3, Find(2)=3, Add (0,2)=25 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=27 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=30 Failed, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=33 Succeeded, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=34 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=40 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=47 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=52 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=57 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=80 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=82 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=84 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=96 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,14],[1,3,57],[2,3,56],[2,4,100],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[1,3,57],[2,3,56],[2,4,100],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[1,3,57],[2,3,56],[2,4,100],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[1,3,57],[2,3,56],[2,4,100],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (2,3)=56, w=70\",\"Add (1,3)=57, w=127\",\"Add (3,4)=94, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[1,3,57],[2,3,56],[2,4,100],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (2,3)=56 Succeeded, w=70\",\"Add (1,3)=57 Succeeded, w=127\",\"Add (3,4)=94 Succeeded, w=221\",\"Add (2,4)=100 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[1,3,57],[2,3,56],[2,4,100],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(2,3)=56,(1,3)=57,(3,4)=94,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=0, Add (2,3)=56 Succeeded, w=70\",\"Find(1)=1, Find(3)=0, Add (1,3)=57 Succeeded, w=127\",\"Find(3)=0, Find(4)=4, Add (3,4)=94 Succeeded, w=221\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[1,3,57],[2,3,56],[2,4,100],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(2,3)=56,(1,3)=57,(3,4)=94,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=56 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=57 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=94 Succeeded, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,91],[0,6,45],[0,7,29],[1,7,69],[2,4,14],[3,6,79],[3,7,6],[4,6,79],[5,6,32],[6,7,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,6,45],[0,7,29],[1,7,69],[2,4,14],[3,6,79],[3,7,6],[4,6,79],[5,6,32],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":274}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,6,45],[0,7,29],[1,7,69],[2,4,14],[3,6,79],[3,7,6],[4,6,79],[5,6,32],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (2,4)\",\"Add (0,7)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (1,7)\",\"Add (4,6)\"],\"Answer\":274}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,6,45],[0,7,29],[1,7,69],[2,4,14],[3,6,79],[3,7,6],[4,6,79],[5,6,32],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=6, w=6\",\"Add (2,4)=14, w=20\",\"Add (0,7)=29, w=49\",\"Add (5,6)=32, w=81\",\"Add (0,6)=45, w=126\",\"Add (1,7)=69, w=195\",\"Add (4,6)=79, w=274\"],\"Answer\":274}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,6,45],[0,7,29],[1,7,69],[2,4,14],[3,6,79],[3,7,6],[4,6,79],[5,6,32],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=6 Succeeded, w=6\",\"Add (2,4)=14 Succeeded, w=20\",\"Add (0,7)=29 Succeeded, w=49\",\"Add (5,6)=32 Succeeded, w=81\",\"Add (0,6)=45 Succeeded, w=126\",\"Add (1,7)=69 Succeeded, w=195\",\"Add (3,6)=79 Failed, w=195\",\"Add (4,6)=79 Succeeded, w=274\",\"Add (6,7)=86 Failed, w=274\",\"Add (0,4)=91 Failed, w=274\"],\"Answer\":274}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,6,45],[0,7,29],[1,7,69],[2,4,14],[3,6,79],[3,7,6],[4,6,79],[5,6,32],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=6,(2,4)=14,(0,7)=29,(5,6)=32,(0,6)=45,(1,7)=69,(3,6)=79,(4,6)=79,(6,7)=86,(0,4)=91]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=20\",\"Find(0)=0, Find(7)=3, Add (0,7)=29 Succeeded, w=49\",\"Find(5)=5, Find(6)=6, Add (5,6)=32 Succeeded, w=81\",\"Find(0)=3, Find(6)=5, Add (0,6)=45 Succeeded, w=126\",\"Find(1)=1, Find(7)=3, Add (1,7)=69 Succeeded, w=195\",\"Find(3)=3, Find(6)=3, Add (3,6)=79 Failed, w=195\",\"Find(4)=2, Find(6)=3, Add (4,6)=79 Succeeded, w=274\",\"Find(6)=3, Find(7)=3, Add (6,7)=86 Failed, w=274\",\"Find(0)=3, Find(4)=3, Add (0,4)=91 Failed, w=274\"],\"Answer\":274}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,6,45],[0,7,29],[1,7,69],[2,4,14],[3,6,79],[3,7,6],[4,6,79],[5,6,32],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=6,(2,4)=14,(0,7)=29,(5,6)=32,(0,6)=45,(1,7)=69,(3,6)=79,(4,6)=79,(6,7)=86,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 3}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=20\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(7)=3, Add (0,7)=29 Succeeded, w=49\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 3}, Find(5)=5, Find(6)=6, Add (5,6)=32 Succeeded, w=81\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 5, 7: 3}, Find(0)=3, Find(6)=5, Add (0,6)=45 Succeeded, w=126\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 5, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=69 Succeeded, w=195\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=79 Failed, w=195\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(4)=2, Find(6)=3, Add (4,6)=79 Succeeded, w=274\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=86 Failed, w=274\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=91 Failed, w=274\"],\"Answer\":274}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,78],[0,2,57],[0,3,3],[0,4,22],[0,7,11],[1,2,23],[1,3,18],[1,4,64],[1,5,3],[1,7,48],[2,3,35],[2,4,10],[2,7,11],[3,4,67],[3,5,53],[4,5,76],[4,7,36],[5,6,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,57],[0,3,3],[0,4,22],[0,7,11],[1,2,23],[1,3,18],[1,4,64],[1,5,3],[1,7,48],[2,3,35],[2,4,10],[2,7,11],[3,4,67],[3,5,53],[4,5,76],[4,7,36],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,57],[0,3,3],[0,4,22],[0,7,11],[1,2,23],[1,3,18],[1,4,64],[1,5,3],[1,7,48],[2,3,35],[2,4,10],[2,7,11],[3,4,67],[3,5,53],[4,5,76],[4,7,36],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (0,7)\",\"Add (2,7)\",\"Add (1,3)\",\"Add (5,6)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,57],[0,3,3],[0,4,22],[0,7,11],[1,2,23],[1,3,18],[1,4,64],[1,5,3],[1,7,48],[2,3,35],[2,4,10],[2,7,11],[3,4,67],[3,5,53],[4,5,76],[4,7,36],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,5)=3, w=6\",\"Add (2,4)=10, w=16\",\"Add (0,7)=11, w=27\",\"Add (2,7)=11, w=38\",\"Add (1,3)=18, w=56\",\"Add (5,6)=76, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,57],[0,3,3],[0,4,22],[0,7,11],[1,2,23],[1,3,18],[1,4,64],[1,5,3],[1,7,48],[2,3,35],[2,4,10],[2,7,11],[3,4,67],[3,5,53],[4,5,76],[4,7,36],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,5)=3 Succeeded, w=6\",\"Add (2,4)=10 Succeeded, w=16\",\"Add (0,7)=11 Succeeded, w=27\",\"Add (2,7)=11 Succeeded, w=38\",\"Add (1,3)=18 Succeeded, w=56\",\"Add (0,4)=22 Failed, w=56\",\"Add (1,2)=23 Failed, w=56\",\"Add (2,3)=35 Failed, w=56\",\"Add (4,7)=36 Failed, w=56\",\"Add (1,7)=48 Failed, w=56\",\"Add (3,5)=53 Failed, w=56\",\"Add (0,2)=57 Failed, w=56\",\"Add (1,4)=64 Failed, w=56\",\"Add (3,4)=67 Failed, w=56\",\"Add (4,5)=76 Failed, w=56\",\"Add (5,6)=76 Succeeded, w=132\",\"Add (0,1)=78 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,57],[0,3,3],[0,4,22],[0,7,11],[1,2,23],[1,3,18],[1,4,64],[1,5,3],[1,7,48],[2,3,35],[2,4,10],[2,7,11],[3,4,67],[3,5,53],[4,5,76],[4,7,36],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,5)=3,(2,4)=10,(0,7)=11,(2,7)=11,(1,3)=18,(0,4)=22,(1,2)=23,(2,3)=35,(4,7)=36,(1,7)=48,(3,5)=53,(0,2)=57,(1,4)=64,(3,4)=67,(4,5)=76,(5,6)=76,(0,1)=78]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=16\",\"Find(0)=0, Find(7)=7, Add (0,7)=11 Succeeded, w=27\",\"Find(2)=2, Find(7)=0, Add (2,7)=11 Succeeded, w=38\",\"Find(1)=1, Find(3)=2, Add (1,3)=18 Succeeded, w=56\",\"Find(0)=2, Find(4)=2, Add (0,4)=22 Failed, w=56\",\"Find(1)=2, Find(2)=2, Add (1,2)=23 Failed, w=56\",\"Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=56\",\"Find(4)=2, Find(7)=2, Add (4,7)=36 Failed, w=56\",\"Find(1)=2, Find(7)=2, Add (1,7)=48 Failed, w=56\",\"Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=56\",\"Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=56\",\"Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=56\",\"Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=56\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=56\",\"Find(5)=2, Find(6)=6, Add (5,6)=76 Succeeded, w=132\",\"Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,57],[0,3,3],[0,4,22],[0,7,11],[1,2,23],[1,3,18],[1,4,64],[1,5,3],[1,7,48],[2,3,35],[2,4,10],[2,7,11],[3,4,67],[3,5,53],[4,5,76],[4,7,36],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,5)=3,(2,4)=10,(0,7)=11,(2,7)=11,(1,3)=18,(0,4)=22,(1,2)=23,(2,3)=35,(4,7)=36,(1,7)=48,(3,5)=53,(0,2)=57,(1,4)=64,(3,4)=67,(4,5)=76,(5,6)=76,(0,1)=78]\",\"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: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 1, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=11 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 1, 6: 6, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=11 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(3)=2, Add (1,3)=18 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 0}, Find(0)=2, Find(4)=2, Add (0,4)=22 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 0}, Find(1)=2, Find(2)=2, Add (1,2)=23 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 0}, Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=36 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=48 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=6, Add (5,6)=76 Succeeded, w=132\",\"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)=78 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,100],[0,3,83],[0,4,36],[0,5,70],[1,2,53],[1,3,9],[1,4,6],[1,5,78],[1,6,86],[2,3,37],[2,4,35],[2,5,74],[2,6,3],[3,4,6],[3,5,25],[3,6,38],[4,5,46],[4,6,63],[5,6,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,83],[0,4,36],[0,5,70],[1,2,53],[1,3,9],[1,4,6],[1,5,78],[1,6,86],[2,3,37],[2,4,35],[2,5,74],[2,6,3],[3,4,6],[3,5,25],[3,6,38],[4,5,46],[4,6,63],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,83],[0,4,36],[0,5,70],[1,2,53],[1,3,9],[1,4,6],[1,5,78],[1,6,86],[2,3,37],[2,4,35],[2,5,74],[2,6,3],[3,4,6],[3,5,25],[3,6,38],[4,5,46],[4,6,63],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,83],[0,4,36],[0,5,70],[1,2,53],[1,3,9],[1,4,6],[1,5,78],[1,6,86],[2,3,37],[2,4,35],[2,5,74],[2,6,3],[3,4,6],[3,5,25],[3,6,38],[4,5,46],[4,6,63],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=3, w=3\",\"Add (1,4)=6, w=9\",\"Add (3,4)=6, w=15\",\"Add (3,5)=25, w=40\",\"Add (2,4)=35, w=75\",\"Add (0,4)=36, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,83],[0,4,36],[0,5,70],[1,2,53],[1,3,9],[1,4,6],[1,5,78],[1,6,86],[2,3,37],[2,4,35],[2,5,74],[2,6,3],[3,4,6],[3,5,25],[3,6,38],[4,5,46],[4,6,63],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=3 Succeeded, w=3\",\"Add (1,4)=6 Succeeded, w=9\",\"Add (3,4)=6 Succeeded, w=15\",\"Add (1,3)=9 Failed, w=15\",\"Add (3,5)=25 Succeeded, w=40\",\"Add (2,4)=35 Succeeded, w=75\",\"Add (0,4)=36 Succeeded, w=111\",\"Add (2,3)=37 Failed, w=111\",\"Add (3,6)=38 Failed, w=111\",\"Add (4,5)=46 Failed, w=111\",\"Add (1,2)=53 Failed, w=111\",\"Add (4,6)=63 Failed, w=111\",\"Add (0,1)=65 Failed, w=111\",\"Add (0,5)=70 Failed, w=111\",\"Add (2,5)=74 Failed, w=111\",\"Add (1,5)=78 Failed, w=111\",\"Add (0,3)=83 Failed, w=111\",\"Add (1,6)=86 Failed, w=111\",\"Add (5,6)=87 Failed, w=111\",\"Add (0,2)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,83],[0,4,36],[0,5,70],[1,2,53],[1,3,9],[1,4,6],[1,5,78],[1,6,86],[2,3,37],[2,4,35],[2,5,74],[2,6,3],[3,4,6],[3,5,25],[3,6,38],[4,5,46],[4,6,63],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=3,(1,4)=6,(3,4)=6,(1,3)=9,(3,5)=25,(2,4)=35,(0,4)=36,(2,3)=37,(3,6)=38,(4,5)=46,(1,2)=53,(4,6)=63,(0,1)=65,(0,5)=70,(2,5)=74,(1,5)=78,(0,3)=83,(1,6)=86,(5,6)=87,(0,2)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=9\",\"Find(3)=3, Find(4)=1, Add (3,4)=6 Succeeded, w=15\",\"Find(1)=1, Find(3)=1, Add (1,3)=9 Failed, w=15\",\"Find(3)=1, Find(5)=5, Add (3,5)=25 Succeeded, w=40\",\"Find(2)=2, Find(4)=1, Add (2,4)=35 Succeeded, w=75\",\"Find(0)=0, Find(4)=2, Add (0,4)=36 Succeeded, w=111\",\"Find(2)=2, Find(3)=2, Add (2,3)=37 Failed, w=111\",\"Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=111\",\"Find(4)=2, Find(5)=2, Add (4,5)=46 Failed, w=111\",\"Find(1)=2, Find(2)=2, Add (1,2)=53 Failed, w=111\",\"Find(4)=2, Find(6)=2, Add (4,6)=63 Failed, w=111\",\"Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=111\",\"Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=111\",\"Find(2)=2, Find(5)=2, Add (2,5)=74 Failed, w=111\",\"Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=111\",\"Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=111\",\"Find(1)=2, Find(6)=2, Add (1,6)=86 Failed, w=111\",\"Find(5)=2, Find(6)=2, Add (5,6)=87 Failed, w=111\",\"Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,100],[0,3,83],[0,4,36],[0,5,70],[1,2,53],[1,3,9],[1,4,6],[1,5,78],[1,6,86],[2,3,37],[2,4,35],[2,5,74],[2,6,3],[3,4,6],[3,5,25],[3,6,38],[4,5,46],[4,6,63],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=3,(1,4)=6,(3,4)=6,(1,3)=9,(3,5)=25,(2,4)=35,(0,4)=36,(2,3)=37,(3,6)=38,(4,5)=46,(1,2)=53,(4,6)=63,(0,1)=65,(0,5)=70,(2,5)=74,(1,5)=78,(0,3)=83,(1,6)=86,(5,6)=87,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 2}, Find(3)=3, Find(4)=1, Add (3,4)=6 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 2}, Find(1)=1, Find(3)=1, Add (1,3)=9 Failed, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(3)=1, Find(5)=5, Add (3,5)=25 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=2, Find(4)=1, Add (2,4)=35 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=36 Succeeded, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=37 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=46 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=53 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=63 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=74 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=86 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=87 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,99],[0,2,71],[0,3,58],[0,4,77],[0,5,24],[1,2,3],[1,3,77],[1,4,15],[1,5,96],[2,3,19],[2,4,21],[2,5,36],[3,4,63],[3,5,17],[4,5,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,71],[0,3,58],[0,4,77],[0,5,24],[1,2,3],[1,3,77],[1,4,15],[1,5,96],[2,3,19],[2,4,21],[2,5,36],[3,4,63],[3,5,17],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,71],[0,3,58],[0,4,77],[0,5,24],[1,2,3],[1,3,77],[1,4,15],[1,5,96],[2,3,19],[2,4,21],[2,5,36],[3,4,63],[3,5,17],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,5)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,71],[0,3,58],[0,4,77],[0,5,24],[1,2,3],[1,3,77],[1,4,15],[1,5,96],[2,3,19],[2,4,21],[2,5,36],[3,4,63],[3,5,17],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (4,5)=10, w=13\",\"Add (1,4)=15, w=28\",\"Add (3,5)=17, w=45\",\"Add (0,5)=24, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,71],[0,3,58],[0,4,77],[0,5,24],[1,2,3],[1,3,77],[1,4,15],[1,5,96],[2,3,19],[2,4,21],[2,5,36],[3,4,63],[3,5,17],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (4,5)=10 Succeeded, w=13\",\"Add (1,4)=15 Succeeded, w=28\",\"Add (3,5)=17 Succeeded, w=45\",\"Add (2,3)=19 Failed, w=45\",\"Add (2,4)=21 Failed, w=45\",\"Add (0,5)=24 Succeeded, w=69\",\"Add (2,5)=36 Failed, w=69\",\"Add (0,3)=58 Failed, w=69\",\"Add (3,4)=63 Failed, w=69\",\"Add (0,2)=71 Failed, w=69\",\"Add (0,4)=77 Failed, w=69\",\"Add (1,3)=77 Failed, w=69\",\"Add (1,5)=96 Failed, w=69\",\"Add (0,1)=99 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,71],[0,3,58],[0,4,77],[0,5,24],[1,2,3],[1,3,77],[1,4,15],[1,5,96],[2,3,19],[2,4,21],[2,5,36],[3,4,63],[3,5,17],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(4,5)=10,(1,4)=15,(3,5)=17,(2,3)=19,(2,4)=21,(0,5)=24,(2,5)=36,(0,3)=58,(3,4)=63,(0,2)=71,(0,4)=77,(1,3)=77,(1,5)=96,(0,1)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=13\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=28\",\"Find(3)=3, Find(5)=1, Add (3,5)=17 Succeeded, w=45\",\"Find(2)=1, Find(3)=1, Add (2,3)=19 Failed, w=45\",\"Find(2)=1, Find(4)=1, Add (2,4)=21 Failed, w=45\",\"Find(0)=0, Find(5)=1, Add (0,5)=24 Succeeded, w=69\",\"Find(2)=1, Find(5)=1, Add (2,5)=36 Failed, w=69\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=69\",\"Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=69\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=69\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=69\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=69\",\"Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=69\",\"Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,99],[0,2,71],[0,3,58],[0,4,77],[0,5,24],[1,2,3],[1,3,77],[1,4,15],[1,5,96],[2,3,19],[2,4,21],[2,5,36],[3,4,63],[3,5,17],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(4,5)=10,(1,4)=15,(3,5)=17,(2,3)=19,(2,4)=21,(0,5)=24,(2,5)=36,(0,3)=58,(3,4)=63,(0,2)=71,(0,4)=77,(1,3)=77,(1,5)=96,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=17 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=19 Failed, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=21 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=24 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=36 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=63 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,72],[0,2,89],[0,3,91],[0,4,47],[0,5,95],[0,6,5],[1,2,7],[1,3,1],[1,4,43],[1,5,21],[1,6,11],[2,3,26],[2,5,57],[3,4,26],[3,5,74],[3,6,9],[4,5,2],[5,6,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,89],[0,3,91],[0,4,47],[0,5,95],[0,6,5],[1,2,7],[1,3,1],[1,4,43],[1,5,21],[1,6,11],[2,3,26],[2,5,57],[3,4,26],[3,5,74],[3,6,9],[4,5,2],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,89],[0,3,91],[0,4,47],[0,5,95],[0,6,5],[1,2,7],[1,3,1],[1,4,43],[1,5,21],[1,6,11],[2,3,26],[2,5,57],[3,4,26],[3,5,74],[3,6,9],[4,5,2],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (1,5)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,89],[0,3,91],[0,4,47],[0,5,95],[0,6,5],[1,2,7],[1,3,1],[1,4,43],[1,5,21],[1,6,11],[2,3,26],[2,5,57],[3,4,26],[3,5,74],[3,6,9],[4,5,2],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (4,5)=2, w=3\",\"Add (0,6)=5, w=8\",\"Add (1,2)=7, w=15\",\"Add (3,6)=9, w=24\",\"Add (1,5)=21, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,89],[0,3,91],[0,4,47],[0,5,95],[0,6,5],[1,2,7],[1,3,1],[1,4,43],[1,5,21],[1,6,11],[2,3,26],[2,5,57],[3,4,26],[3,5,74],[3,6,9],[4,5,2],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (4,5)=2 Succeeded, w=3\",\"Add (0,6)=5 Succeeded, w=8\",\"Add (1,2)=7 Succeeded, w=15\",\"Add (3,6)=9 Succeeded, w=24\",\"Add (1,6)=11 Failed, w=24\",\"Add (1,5)=21 Succeeded, w=45\",\"Add (2,3)=26 Failed, w=45\",\"Add (3,4)=26 Failed, w=45\",\"Add (5,6)=26 Failed, w=45\",\"Add (1,4)=43 Failed, w=45\",\"Add (0,4)=47 Failed, w=45\",\"Add (2,5)=57 Failed, w=45\",\"Add (0,1)=72 Failed, w=45\",\"Add (3,5)=74 Failed, w=45\",\"Add (0,2)=89 Failed, w=45\",\"Add (0,3)=91 Failed, w=45\",\"Add (0,5)=95 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,89],[0,3,91],[0,4,47],[0,5,95],[0,6,5],[1,2,7],[1,3,1],[1,4,43],[1,5,21],[1,6,11],[2,3,26],[2,5,57],[3,4,26],[3,5,74],[3,6,9],[4,5,2],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(4,5)=2,(0,6)=5,(1,2)=7,(3,6)=9,(1,6)=11,(1,5)=21,(2,3)=26,(3,4)=26,(5,6)=26,(1,4)=43,(0,4)=47,(2,5)=57,(0,1)=72,(3,5)=74,(0,2)=89,(0,3)=91,(0,5)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=3\",\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=15\",\"Find(3)=1, Find(6)=0, Add (3,6)=9 Succeeded, w=24\",\"Find(1)=1, Find(6)=1, Add (1,6)=11 Failed, w=24\",\"Find(1)=1, Find(5)=4, Add (1,5)=21 Succeeded, w=45\",\"Find(2)=1, Find(3)=1, Add (2,3)=26 Failed, w=45\",\"Find(3)=1, Find(4)=1, Add (3,4)=26 Failed, w=45\",\"Find(5)=1, Find(6)=1, Add (5,6)=26 Failed, w=45\",\"Find(1)=1, Find(4)=1, Add (1,4)=43 Failed, w=45\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=45\",\"Find(2)=1, Find(5)=1, Add (2,5)=57 Failed, w=45\",\"Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=45\",\"Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=45\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=45\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=45\",\"Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,72],[0,2,89],[0,3,91],[0,4,47],[0,5,95],[0,6,5],[1,2,7],[1,3,1],[1,4,43],[1,5,21],[1,6,11],[2,3,26],[2,5,57],[3,4,26],[3,5,74],[3,6,9],[4,5,2],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(4,5)=2,(0,6)=5,(1,2)=7,(3,6)=9,(1,6)=11,(1,5)=21,(2,3)=26,(3,4)=26,(5,6)=26,(1,4)=43,(0,4)=47,(2,5)=57,(0,1)=72,(3,5)=74,(0,2)=89,(0,3)=91,(0,5)=95]\",\"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: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0}, Find(3)=1, Find(6)=0, Add (3,6)=9 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=11 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(1)=1, Find(5)=4, Add (1,5)=21 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=26 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=26 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=26 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=43 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=57 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,83],[0,2,65],[0,4,46],[0,6,87],[1,2,35],[1,3,65],[1,4,89],[1,5,72],[1,6,34],[2,4,99],[2,5,67],[2,6,44],[2,7,56],[3,4,77],[3,5,6],[3,6,73],[3,7,67],[4,5,73],[4,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,65],[0,4,46],[0,6,87],[1,2,35],[1,3,65],[1,4,89],[1,5,72],[1,6,34],[2,4,99],[2,5,67],[2,6,44],[2,7,56],[3,4,77],[3,5,6],[3,6,73],[3,7,67],[4,5,73],[4,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,65],[0,4,46],[0,6,87],[1,2,35],[1,3,65],[1,4,89],[1,5,72],[1,6,34],[2,4,99],[2,5,67],[2,6,44],[2,7,56],[3,4,77],[3,5,6],[3,6,73],[3,7,67],[4,5,73],[4,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (4,7)\",\"Add (2,7)\",\"Add (1,3)\"],\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,65],[0,4,46],[0,6,87],[1,2,35],[1,3,65],[1,4,89],[1,5,72],[1,6,34],[2,4,99],[2,5,67],[2,6,44],[2,7,56],[3,4,77],[3,5,6],[3,6,73],[3,7,67],[4,5,73],[4,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6, w=6\",\"Add (1,6)=34, w=40\",\"Add (1,2)=35, w=75\",\"Add (0,4)=46, w=121\",\"Add (4,7)=49, w=170\",\"Add (2,7)=56, w=226\",\"Add (1,3)=65, w=291\"],\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,65],[0,4,46],[0,6,87],[1,2,35],[1,3,65],[1,4,89],[1,5,72],[1,6,34],[2,4,99],[2,5,67],[2,6,44],[2,7,56],[3,4,77],[3,5,6],[3,6,73],[3,7,67],[4,5,73],[4,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6 Succeeded, w=6\",\"Add (1,6)=34 Succeeded, w=40\",\"Add (1,2)=35 Succeeded, w=75\",\"Add (2,6)=44 Failed, w=75\",\"Add (0,4)=46 Succeeded, w=121\",\"Add (4,7)=49 Succeeded, w=170\",\"Add (2,7)=56 Succeeded, w=226\",\"Add (0,2)=65 Failed, w=226\",\"Add (1,3)=65 Succeeded, w=291\",\"Add (2,5)=67 Failed, w=291\",\"Add (3,7)=67 Failed, w=291\",\"Add (1,5)=72 Failed, w=291\",\"Add (3,6)=73 Failed, w=291\",\"Add (4,5)=73 Failed, w=291\",\"Add (3,4)=77 Failed, w=291\",\"Add (0,1)=83 Failed, w=291\",\"Add (0,6)=87 Failed, w=291\",\"Add (1,4)=89 Failed, w=291\",\"Add (2,4)=99 Failed, w=291\"],\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,65],[0,4,46],[0,6,87],[1,2,35],[1,3,65],[1,4,89],[1,5,72],[1,6,34],[2,4,99],[2,5,67],[2,6,44],[2,7,56],[3,4,77],[3,5,6],[3,6,73],[3,7,67],[4,5,73],[4,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(1,6)=34,(1,2)=35,(2,6)=44,(0,4)=46,(4,7)=49,(2,7)=56,(0,2)=65,(1,3)=65,(2,5)=67,(3,7)=67,(1,5)=72,(3,6)=73,(4,5)=73,(3,4)=77,(0,1)=83,(0,6)=87,(1,4)=89,(2,4)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Find(1)=1, Find(6)=6, Add (1,6)=34 Succeeded, w=40\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=75\",\"Find(2)=1, Find(6)=1, Add (2,6)=44 Failed, w=75\",\"Find(0)=0, Find(4)=4, Add (0,4)=46 Succeeded, w=121\",\"Find(4)=0, Find(7)=7, Add (4,7)=49 Succeeded, w=170\",\"Find(2)=1, Find(7)=0, Add (2,7)=56 Succeeded, w=226\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=226\",\"Find(1)=1, Find(3)=3, Add (1,3)=65 Succeeded, w=291\",\"Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=291\",\"Find(3)=1, Find(7)=1, Add (3,7)=67 Failed, w=291\",\"Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=291\",\"Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=291\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=291\",\"Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=291\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=291\",\"Find(0)=1, Find(6)=1, Add (0,6)=87 Failed, w=291\",\"Find(1)=1, Find(4)=1, Add (1,4)=89 Failed, w=291\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=291\"],\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,65],[0,4,46],[0,6,87],[1,2,35],[1,3,65],[1,4,89],[1,5,72],[1,6,34],[2,4,99],[2,5,67],[2,6,44],[2,7,56],[3,4,77],[3,5,6],[3,6,73],[3,7,67],[4,5,73],[4,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(1,6)=34,(1,2)=35,(2,6)=44,(0,4)=46,(4,7)=49,(2,7)=56,(0,2)=65,(1,3)=65,(2,5)=67,(3,7)=67,(1,5)=72,(3,6)=73,(4,5)=73,(3,4)=77,(0,1)=83,(0,6)=87,(1,4)=89,(2,4)=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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=34 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=75\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 7}, Find(2)=1, Find(6)=1, Add (2,6)=44 Failed, w=75\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3, 6: 1, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=46 Succeeded, w=121\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3, 6: 1, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=49 Succeeded, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3, 6: 1, 7: 0}, Find(2)=1, Find(7)=0, Add (2,7)=56 Succeeded, w=226\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3, 6: 1, 7: 0}, Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=226\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 1, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=65 Succeeded, w=291\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 0}, Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=291\",\"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)=67 Failed, w=291\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=291\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=291\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=291\",\"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)=77 Failed, w=291\",\"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)=83 Failed, w=291\",\"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)=87 Failed, w=291\",\"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)=89 Failed, w=291\",\"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=291\"],\"Answer\":291}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,3,99],[0,4,94],[1,2,83],[1,3,77],[2,3,28],[3,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,3,99],[0,4,94],[1,2,83],[1,3,77],[2,3,28],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,3,99],[0,4,94],[1,2,83],[1,3,77],[2,3,28],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,3,99],[0,4,94],[1,2,83],[1,3,77],[2,3,28],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=28, w=28\",\"Add (0,1)=39, w=67\",\"Add (3,4)=48, w=115\",\"Add (1,3)=77, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,3,99],[0,4,94],[1,2,83],[1,3,77],[2,3,28],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=28 Succeeded, w=28\",\"Add (0,1)=39 Succeeded, w=67\",\"Add (3,4)=48 Succeeded, w=115\",\"Add (1,3)=77 Succeeded, w=192\",\"Add (1,2)=83 Failed, w=192\",\"Add (0,4)=94 Failed, w=192\",\"Add (0,3)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,3,99],[0,4,94],[1,2,83],[1,3,77],[2,3,28],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=28,(0,1)=39,(3,4)=48,(1,3)=77,(1,2)=83,(0,4)=94,(0,3)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=67\",\"Find(3)=2, Find(4)=4, Add (3,4)=48 Succeeded, w=115\",\"Find(1)=0, Find(3)=2, Add (1,3)=77 Succeeded, w=192\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=192\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=192\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,3,99],[0,4,94],[1,2,83],[1,3,77],[2,3,28],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=28,(0,1)=39,(3,4)=48,(1,3)=77,(1,2)=83,(0,4)=94,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=48 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(3)=2, Add (1,3)=77 Succeeded, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,11],[0,2,41],[0,3,33],[0,4,46],[0,5,89],[1,2,61],[1,3,99],[1,4,67],[1,5,20],[2,3,54],[2,4,73],[2,5,81],[3,4,60],[3,5,28],[4,5,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,41],[0,3,33],[0,4,46],[0,5,89],[1,2,61],[1,3,99],[1,4,67],[1,5,20],[2,3,54],[2,4,73],[2,5,81],[3,4,60],[3,5,28],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,41],[0,3,33],[0,4,46],[0,5,89],[1,2,61],[1,3,99],[1,4,67],[1,5,20],[2,3,54],[2,4,73],[2,5,81],[3,4,60],[3,5,28],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,41],[0,3,33],[0,4,46],[0,5,89],[1,2,61],[1,3,99],[1,4,67],[1,5,20],[2,3,54],[2,4,73],[2,5,81],[3,4,60],[3,5,28],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (1,5)=20, w=31\",\"Add (3,5)=28, w=59\",\"Add (0,2)=41, w=100\",\"Add (0,4)=46, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,41],[0,3,33],[0,4,46],[0,5,89],[1,2,61],[1,3,99],[1,4,67],[1,5,20],[2,3,54],[2,4,73],[2,5,81],[3,4,60],[3,5,28],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (1,5)=20 Succeeded, w=31\",\"Add (3,5)=28 Succeeded, w=59\",\"Add (0,3)=33 Failed, w=59\",\"Add (0,2)=41 Succeeded, w=100\",\"Add (0,4)=46 Succeeded, w=146\",\"Add (2,3)=54 Failed, w=146\",\"Add (3,4)=60 Failed, w=146\",\"Add (1,2)=61 Failed, w=146\",\"Add (1,4)=67 Failed, w=146\",\"Add (2,4)=73 Failed, w=146\",\"Add (2,5)=81 Failed, w=146\",\"Add (4,5)=83 Failed, w=146\",\"Add (0,5)=89 Failed, w=146\",\"Add (1,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,41],[0,3,33],[0,4,46],[0,5,89],[1,2,61],[1,3,99],[1,4,67],[1,5,20],[2,3,54],[2,4,73],[2,5,81],[3,4,60],[3,5,28],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(1,5)=20,(3,5)=28,(0,3)=33,(0,2)=41,(0,4)=46,(2,3)=54,(3,4)=60,(1,2)=61,(1,4)=67,(2,4)=73,(2,5)=81,(4,5)=83,(0,5)=89,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(1)=0, Find(5)=5, Add (1,5)=20 Succeeded, w=31\",\"Find(3)=3, Find(5)=0, Add (3,5)=28 Succeeded, w=59\",\"Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=59\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=100\",\"Find(0)=0, Find(4)=4, Add (0,4)=46 Succeeded, w=146\",\"Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=146\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=146\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=146\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=146\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=146\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=146\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=146\",\"Find(0)=0, Find(5)=0, Add (0,5)=89 Failed, w=146\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,11],[0,2,41],[0,3,33],[0,4,46],[0,5,89],[1,2,61],[1,3,99],[1,4,67],[1,5,20],[2,3,54],[2,4,73],[2,5,81],[3,4,60],[3,5,28],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(1,5)=20,(3,5)=28,(0,3)=33,(0,2)=41,(0,4)=46,(2,3)=54,(3,4)=60,(1,2)=61,(1,4)=67,(2,4)=73,(2,5)=81,(4,5)=83,(0,5)=89,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=20 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=28 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=46 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=89 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,53],[0,2,76],[0,3,49],[0,4,87],[0,5,93],[0,6,69],[1,2,30],[1,4,62],[1,5,28],[1,6,94],[2,3,44],[2,4,90],[2,5,27],[2,6,93],[3,4,46],[3,5,86],[3,6,50],[4,5,18],[4,6,85],[5,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,76],[0,3,49],[0,4,87],[0,5,93],[0,6,69],[1,2,30],[1,4,62],[1,5,28],[1,6,94],[2,3,44],[2,4,90],[2,5,27],[2,6,93],[3,4,46],[3,5,86],[3,6,50],[4,5,18],[4,6,85],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,76],[0,3,49],[0,4,87],[0,5,93],[0,6,69],[1,2,30],[1,4,62],[1,5,28],[1,6,94],[2,3,44],[2,4,90],[2,5,27],[2,6,93],[3,4,46],[3,5,86],[3,6,50],[4,5,18],[4,6,85],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,76],[0,3,49],[0,4,87],[0,5,93],[0,6,69],[1,2,30],[1,4,62],[1,5,28],[1,6,94],[2,3,44],[2,4,90],[2,5,27],[2,6,93],[3,4,46],[3,5,86],[3,6,50],[4,5,18],[4,6,85],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=18, w=18\",\"Add (2,5)=27, w=45\",\"Add (1,5)=28, w=73\",\"Add (5,6)=36, w=109\",\"Add (2,3)=44, w=153\",\"Add (0,3)=49, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,76],[0,3,49],[0,4,87],[0,5,93],[0,6,69],[1,2,30],[1,4,62],[1,5,28],[1,6,94],[2,3,44],[2,4,90],[2,5,27],[2,6,93],[3,4,46],[3,5,86],[3,6,50],[4,5,18],[4,6,85],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=18 Succeeded, w=18\",\"Add (2,5)=27 Succeeded, w=45\",\"Add (1,5)=28 Succeeded, w=73\",\"Add (1,2)=30 Failed, w=73\",\"Add (5,6)=36 Succeeded, w=109\",\"Add (2,3)=44 Succeeded, w=153\",\"Add (3,4)=46 Failed, w=153\",\"Add (0,3)=49 Succeeded, w=202\",\"Add (3,6)=50 Failed, w=202\",\"Add (0,1)=53 Failed, w=202\",\"Add (1,4)=62 Failed, w=202\",\"Add (0,6)=69 Failed, w=202\",\"Add (0,2)=76 Failed, w=202\",\"Add (4,6)=85 Failed, w=202\",\"Add (3,5)=86 Failed, w=202\",\"Add (0,4)=87 Failed, w=202\",\"Add (2,4)=90 Failed, w=202\",\"Add (0,5)=93 Failed, w=202\",\"Add (2,6)=93 Failed, w=202\",\"Add (1,6)=94 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,76],[0,3,49],[0,4,87],[0,5,93],[0,6,69],[1,2,30],[1,4,62],[1,5,28],[1,6,94],[2,3,44],[2,4,90],[2,5,27],[2,6,93],[3,4,46],[3,5,86],[3,6,50],[4,5,18],[4,6,85],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=18,(2,5)=27,(1,5)=28,(1,2)=30,(5,6)=36,(2,3)=44,(3,4)=46,(0,3)=49,(3,6)=50,(0,1)=53,(1,4)=62,(0,6)=69,(0,2)=76,(4,6)=85,(3,5)=86,(0,4)=87,(2,4)=90,(0,5)=93,(2,6)=93,(1,6)=94]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=18\",\"Find(2)=2, Find(5)=4, Add (2,5)=27 Succeeded, w=45\",\"Find(1)=1, Find(5)=4, Add (1,5)=28 Succeeded, w=73\",\"Find(1)=4, Find(2)=4, Add (1,2)=30 Failed, w=73\",\"Find(5)=4, Find(6)=6, Add (5,6)=36 Succeeded, w=109\",\"Find(2)=4, Find(3)=3, Add (2,3)=44 Succeeded, w=153\",\"Find(3)=4, Find(4)=4, Add (3,4)=46 Failed, w=153\",\"Find(0)=0, Find(3)=4, Add (0,3)=49 Succeeded, w=202\",\"Find(3)=4, Find(6)=4, Add (3,6)=50 Failed, w=202\",\"Find(0)=4, Find(1)=4, Add (0,1)=53 Failed, w=202\",\"Find(1)=4, Find(4)=4, Add (1,4)=62 Failed, w=202\",\"Find(0)=4, Find(6)=4, Add (0,6)=69 Failed, w=202\",\"Find(0)=4, Find(2)=4, Add (0,2)=76 Failed, w=202\",\"Find(4)=4, Find(6)=4, Add (4,6)=85 Failed, w=202\",\"Find(3)=4, Find(5)=4, Add (3,5)=86 Failed, w=202\",\"Find(0)=4, Find(4)=4, Add (0,4)=87 Failed, w=202\",\"Find(2)=4, Find(4)=4, Add (2,4)=90 Failed, w=202\",\"Find(0)=4, Find(5)=4, Add (0,5)=93 Failed, w=202\",\"Find(2)=4, Find(6)=4, Add (2,6)=93 Failed, w=202\",\"Find(1)=4, Find(6)=4, Add (1,6)=94 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,2,76],[0,3,49],[0,4,87],[0,5,93],[0,6,69],[1,2,30],[1,4,62],[1,5,28],[1,6,94],[2,3,44],[2,4,90],[2,5,27],[2,6,93],[3,4,46],[3,5,86],[3,6,50],[4,5,18],[4,6,85],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=18,(2,5)=27,(1,5)=28,(1,2)=30,(5,6)=36,(2,3)=44,(3,4)=46,(0,3)=49,(3,6)=50,(0,1)=53,(1,4)=62,(0,6)=69,(0,2)=76,(4,6)=85,(3,5)=86,(0,4)=87,(2,4)=90,(0,5)=93,(2,6)=93,(1,6)=94]\",\"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)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(5)=4, Add (2,5)=27 Succeeded, w=45\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(5)=4, Add (1,5)=28 Succeeded, w=73\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=4, Find(2)=4, Add (1,2)=30 Failed, w=73\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=6, Add (5,6)=36 Succeeded, w=109\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=3, Add (2,3)=44 Succeeded, w=153\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=46 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(3)=4, Add (0,3)=49 Succeeded, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=50 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=53 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=62 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=69 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=76 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=85 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=86 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=87 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=90 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=93 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=93 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=94 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,70],[0,4,49],[1,4,61],[1,5,36],[2,5,68],[3,4,11],[3,5,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,49],[1,4,61],[1,5,36],[2,5,68],[3,4,11],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,49],[1,4,61],[1,5,36],[2,5,68],[3,4,11],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,49],[1,4,61],[1,5,36],[2,5,68],[3,4,11],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (1,5)=36, w=47\",\"Add (0,4)=49, w=96\",\"Add (1,4)=61, w=157\",\"Add (2,5)=68, w=225\"],\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,49],[1,4,61],[1,5,36],[2,5,68],[3,4,11],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (1,5)=36 Succeeded, w=47\",\"Add (0,4)=49 Succeeded, w=96\",\"Add (1,4)=61 Succeeded, w=157\",\"Add (2,5)=68 Succeeded, w=225\",\"Add (0,3)=70 Failed, w=225\",\"Add (3,5)=99 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,49],[1,4,61],[1,5,36],[2,5,68],[3,4,11],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(1,5)=36,(0,4)=49,(1,4)=61,(2,5)=68,(0,3)=70,(3,5)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(5)=5, Add (1,5)=36 Succeeded, w=47\",\"Find(0)=0, Find(4)=3, Add (0,4)=49 Succeeded, w=96\",\"Find(1)=1, Find(4)=3, Add (1,4)=61 Succeeded, w=157\",\"Find(2)=2, Find(5)=1, Add (2,5)=68 Succeeded, w=225\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=225\",\"Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,70],[0,4,49],[1,4,61],[1,5,36],[2,5,68],[3,4,11],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(1,5)=36,(0,4)=49,(1,4)=61,(2,5)=68,(0,3)=70,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=36 Succeeded, w=47\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(4)=3, Add (0,4)=49 Succeeded, w=96\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 3, 5: 1}, Find(1)=1, Find(4)=3, Add (1,4)=61 Succeeded, w=157\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=68 Succeeded, w=225\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=225\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=225\"],\"Answer\":225}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,31],[0,2,13],[0,3,59],[0,4,43],[0,5,95],[0,6,51],[0,7,65],[1,2,16],[1,4,88],[1,6,4],[1,7,84],[2,3,4],[2,4,49],[2,5,100],[2,6,22],[2,7,8],[3,4,30],[3,5,99],[3,6,79],[3,7,8],[4,5,92],[4,6,48],[4,7,83],[5,6,91],[5,7,36],[6,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,13],[0,3,59],[0,4,43],[0,5,95],[0,6,51],[0,7,65],[1,2,16],[1,4,88],[1,6,4],[1,7,84],[2,3,4],[2,4,49],[2,5,100],[2,6,22],[2,7,8],[3,4,30],[3,5,99],[3,6,79],[3,7,8],[4,5,92],[4,6,48],[4,7,83],[5,6,91],[5,7,36],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,13],[0,3,59],[0,4,43],[0,5,95],[0,6,51],[0,7,65],[1,2,16],[1,4,88],[1,6,4],[1,7,84],[2,3,4],[2,4,49],[2,5,100],[2,6,22],[2,7,8],[3,4,30],[3,5,99],[3,6,79],[3,7,8],[4,5,92],[4,6,48],[4,7,83],[5,6,91],[5,7,36],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,3)\",\"Add (2,7)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (5,7)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,13],[0,3,59],[0,4,43],[0,5,95],[0,6,51],[0,7,65],[1,2,16],[1,4,88],[1,6,4],[1,7,84],[2,3,4],[2,4,49],[2,5,100],[2,6,22],[2,7,8],[3,4,30],[3,5,99],[3,6,79],[3,7,8],[4,5,92],[4,6,48],[4,7,83],[5,6,91],[5,7,36],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (2,3)=4, w=8\",\"Add (2,7)=8, w=16\",\"Add (0,2)=13, w=29\",\"Add (1,2)=16, w=45\",\"Add (3,4)=30, w=75\",\"Add (5,7)=36, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,13],[0,3,59],[0,4,43],[0,5,95],[0,6,51],[0,7,65],[1,2,16],[1,4,88],[1,6,4],[1,7,84],[2,3,4],[2,4,49],[2,5,100],[2,6,22],[2,7,8],[3,4,30],[3,5,99],[3,6,79],[3,7,8],[4,5,92],[4,6,48],[4,7,83],[5,6,91],[5,7,36],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (2,3)=4 Succeeded, w=8\",\"Add (2,7)=8 Succeeded, w=16\",\"Add (3,7)=8 Failed, w=16\",\"Add (0,2)=13 Succeeded, w=29\",\"Add (1,2)=16 Succeeded, w=45\",\"Add (2,6)=22 Failed, w=45\",\"Add (6,7)=27 Failed, w=45\",\"Add (3,4)=30 Succeeded, w=75\",\"Add (0,1)=31 Failed, w=75\",\"Add (5,7)=36 Succeeded, w=111\",\"Add (0,4)=43 Failed, w=111\",\"Add (4,6)=48 Failed, w=111\",\"Add (2,4)=49 Failed, w=111\",\"Add (0,6)=51 Failed, w=111\",\"Add (0,3)=59 Failed, w=111\",\"Add (0,7)=65 Failed, w=111\",\"Add (3,6)=79 Failed, w=111\",\"Add (4,7)=83 Failed, w=111\",\"Add (1,7)=84 Failed, w=111\",\"Add (1,4)=88 Failed, w=111\",\"Add (5,6)=91 Failed, w=111\",\"Add (4,5)=92 Failed, w=111\",\"Add (0,5)=95 Failed, w=111\",\"Add (3,5)=99 Failed, w=111\",\"Add (2,5)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,13],[0,3,59],[0,4,43],[0,5,95],[0,6,51],[0,7,65],[1,2,16],[1,4,88],[1,6,4],[1,7,84],[2,3,4],[2,4,49],[2,5,100],[2,6,22],[2,7,8],[3,4,30],[3,5,99],[3,6,79],[3,7,8],[4,5,92],[4,6,48],[4,7,83],[5,6,91],[5,7,36],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(2,3)=4,(2,7)=8,(3,7)=8,(0,2)=13,(1,2)=16,(2,6)=22,(6,7)=27,(3,4)=30,(0,1)=31,(5,7)=36,(0,4)=43,(4,6)=48,(2,4)=49,(0,6)=51,(0,3)=59,(0,7)=65,(3,6)=79,(4,7)=83,(1,7)=84,(1,4)=88,(5,6)=91,(4,5)=92,(0,5)=95,(3,5)=99,(2,5)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=8\",\"Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=16\",\"Find(3)=2, Find(7)=2, Add (3,7)=8 Failed, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=29\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=45\",\"Find(2)=1, Find(6)=1, Add (2,6)=22 Failed, w=45\",\"Find(6)=1, Find(7)=1, Add (6,7)=27 Failed, w=45\",\"Find(3)=1, Find(4)=4, Add (3,4)=30 Succeeded, w=75\",\"Find(0)=1, Find(1)=1, Add (0,1)=31 Failed, w=75\",\"Find(5)=5, Find(7)=1, Add (5,7)=36 Succeeded, w=111\",\"Find(0)=1, Find(4)=1, Add (0,4)=43 Failed, w=111\",\"Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=111\",\"Find(2)=1, Find(4)=1, Add (2,4)=49 Failed, w=111\",\"Find(0)=1, Find(6)=1, Add (0,6)=51 Failed, w=111\",\"Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=111\",\"Find(0)=1, Find(7)=1, Add (0,7)=65 Failed, w=111\",\"Find(3)=1, Find(6)=1, Add (3,6)=79 Failed, w=111\",\"Find(4)=1, Find(7)=1, Add (4,7)=83 Failed, w=111\",\"Find(1)=1, Find(7)=1, Add (1,7)=84 Failed, w=111\",\"Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=111\",\"Find(5)=1, Find(6)=1, Add (5,6)=91 Failed, w=111\",\"Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=111\",\"Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=111\",\"Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=111\",\"Find(2)=1, Find(5)=1, Add (2,5)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,2,13],[0,3,59],[0,4,43],[0,5,95],[0,6,51],[0,7,65],[1,2,16],[1,4,88],[1,6,4],[1,7,84],[2,3,4],[2,4,49],[2,5,100],[2,6,22],[2,7,8],[3,4,30],[3,5,99],[3,6,79],[3,7,8],[4,5,92],[4,6,48],[4,7,83],[5,6,91],[5,7,36],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(2,3)=4,(2,7)=8,(3,7)=8,(0,2)=13,(1,2)=16,(2,6)=22,(6,7)=27,(3,4)=30,(0,1)=31,(5,7)=36,(0,4)=43,(4,6)=48,(2,4)=49,(0,6)=51,(0,3)=59,(0,7)=65,(3,6)=79,(4,7)=83,(1,7)=84,(1,4)=88,(5,6)=91,(4,5)=92,(0,5)=95,(3,5)=99,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=8 Failed, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 4, 5: 5, 6: 1, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 4, 5: 5, 6: 1, 7: 2}, Find(2)=1, Find(6)=1, Add (2,6)=22 Failed, w=45\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 4, 5: 5, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=27 Failed, w=45\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(3)=1, Find(4)=4, Add (3,4)=30 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=31 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=36 Succeeded, w=111\",\"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)=43 Failed, w=111\",\"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)=48 Failed, w=111\",\"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)=49 Failed, w=111\",\"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)=51 Failed, w=111\",\"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)=59 Failed, w=111\",\"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)=65 Failed, w=111\",\"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)=79 Failed, w=111\",\"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)=83 Failed, w=111\",\"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)=84 Failed, w=111\",\"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)=88 Failed, w=111\",\"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)=91 Failed, w=111\",\"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)=92 Failed, w=111\",\"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)=95 Failed, w=111\",\"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)=99 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,92],[0,3,62],[0,4,33],[1,2,61],[1,3,77],[1,4,6],[2,3,52],[2,4,91],[3,4,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,92],[0,3,62],[0,4,33],[1,2,61],[1,3,77],[1,4,6],[2,3,52],[2,4,91],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,92],[0,3,62],[0,4,33],[1,2,61],[1,3,77],[1,4,6],[2,3,52],[2,4,91],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,92],[0,3,62],[0,4,33],[1,2,61],[1,3,77],[1,4,6],[2,3,52],[2,4,91],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6, w=6\",\"Add (0,1)=14, w=20\",\"Add (2,3)=52, w=72\",\"Add (1,2)=61, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,92],[0,3,62],[0,4,33],[1,2,61],[1,3,77],[1,4,6],[2,3,52],[2,4,91],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6 Succeeded, w=6\",\"Add (0,1)=14 Succeeded, w=20\",\"Add (0,4)=33 Failed, w=20\",\"Add (2,3)=52 Succeeded, w=72\",\"Add (1,2)=61 Succeeded, w=133\",\"Add (0,3)=62 Failed, w=133\",\"Add (1,3)=77 Failed, w=133\",\"Add (3,4)=90 Failed, w=133\",\"Add (2,4)=91 Failed, w=133\",\"Add (0,2)=92 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,92],[0,3,62],[0,4,33],[1,2,61],[1,3,77],[1,4,6],[2,3,52],[2,4,91],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(0,1)=14,(0,4)=33,(2,3)=52,(1,2)=61,(0,3)=62,(1,3)=77,(3,4)=90,(2,4)=91,(0,2)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=20\",\"Find(0)=1, Find(4)=1, Add (0,4)=33 Failed, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=72\",\"Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=133\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=133\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=133\",\"Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=133\",\"Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=133\",\"Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,92],[0,3,62],[0,4,33],[1,2,61],[1,3,77],[1,4,6],[2,3,52],[2,4,91],[3,4,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(0,1)=14,(0,4)=33,(2,3)=52,(1,2)=61,(0,3)=62,(1,3)=77,(3,4)=90,(2,4)=91,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=33 Failed, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,2,19],[0,3,18],[0,4,38],[0,5,76],[0,6,86],[0,7,80],[1,4,45],[1,5,16],[1,6,49],[1,7,29],[2,3,44],[2,4,29],[2,6,8],[2,7,6],[3,5,24],[3,6,23],[3,7,69],[4,5,65],[4,6,4],[4,7,4],[5,6,55],[5,7,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,19],[0,3,18],[0,4,38],[0,5,76],[0,6,86],[0,7,80],[1,4,45],[1,5,16],[1,6,49],[1,7,29],[2,3,44],[2,4,29],[2,6,8],[2,7,6],[3,5,24],[3,6,23],[3,7,69],[4,5,65],[4,6,4],[4,7,4],[5,6,55],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,19],[0,3,18],[0,4,38],[0,5,76],[0,6,86],[0,7,80],[1,4,45],[1,5,16],[1,6,49],[1,7,29],[2,3,44],[2,4,29],[2,6,8],[2,7,6],[3,5,24],[3,6,23],[3,7,69],[4,5,65],[4,6,4],[4,7,4],[5,6,55],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (4,7)\",\"Add (2,7)\",\"Add (5,7)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,19],[0,3,18],[0,4,38],[0,5,76],[0,6,86],[0,7,80],[1,4,45],[1,5,16],[1,6,49],[1,7,29],[2,3,44],[2,4,29],[2,6,8],[2,7,6],[3,5,24],[3,6,23],[3,7,69],[4,5,65],[4,6,4],[4,7,4],[5,6,55],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=4, w=4\",\"Add (4,7)=4, w=8\",\"Add (2,7)=6, w=14\",\"Add (5,7)=15, w=29\",\"Add (1,5)=16, w=45\",\"Add (0,3)=18, w=63\",\"Add (0,2)=19, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,19],[0,3,18],[0,4,38],[0,5,76],[0,6,86],[0,7,80],[1,4,45],[1,5,16],[1,6,49],[1,7,29],[2,3,44],[2,4,29],[2,6,8],[2,7,6],[3,5,24],[3,6,23],[3,7,69],[4,5,65],[4,6,4],[4,7,4],[5,6,55],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=4 Succeeded, w=4\",\"Add (4,7)=4 Succeeded, w=8\",\"Add (2,7)=6 Succeeded, w=14\",\"Add (2,6)=8 Failed, w=14\",\"Add (5,7)=15 Succeeded, w=29\",\"Add (1,5)=16 Succeeded, w=45\",\"Add (0,3)=18 Succeeded, w=63\",\"Add (0,2)=19 Succeeded, w=82\",\"Add (3,6)=23 Failed, w=82\",\"Add (3,5)=24 Failed, w=82\",\"Add (1,7)=29 Failed, w=82\",\"Add (2,4)=29 Failed, w=82\",\"Add (0,4)=38 Failed, w=82\",\"Add (2,3)=44 Failed, w=82\",\"Add (1,4)=45 Failed, w=82\",\"Add (0,1)=49 Failed, w=82\",\"Add (1,6)=49 Failed, w=82\",\"Add (5,6)=55 Failed, w=82\",\"Add (4,5)=65 Failed, w=82\",\"Add (3,7)=69 Failed, w=82\",\"Add (0,5)=76 Failed, w=82\",\"Add (0,7)=80 Failed, w=82\",\"Add (0,6)=86 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,19],[0,3,18],[0,4,38],[0,5,76],[0,6,86],[0,7,80],[1,4,45],[1,5,16],[1,6,49],[1,7,29],[2,3,44],[2,4,29],[2,6,8],[2,7,6],[3,5,24],[3,6,23],[3,7,69],[4,5,65],[4,6,4],[4,7,4],[5,6,55],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=4,(4,7)=4,(2,7)=6,(2,6)=8,(5,7)=15,(1,5)=16,(0,3)=18,(0,2)=19,(3,6)=23,(3,5)=24,(1,7)=29,(2,4)=29,(0,4)=38,(2,3)=44,(1,4)=45,(0,1)=49,(1,6)=49,(5,6)=55,(4,5)=65,(3,7)=69,(0,5)=76,(0,7)=80,(0,6)=86]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=4\",\"Find(4)=4, Find(7)=7, Add (4,7)=4 Succeeded, w=8\",\"Find(2)=2, Find(7)=4, Add (2,7)=6 Succeeded, w=14\",\"Find(2)=4, Find(6)=4, Add (2,6)=8 Failed, w=14\",\"Find(5)=5, Find(7)=4, Add (5,7)=15 Succeeded, w=29\",\"Find(1)=1, Find(5)=4, Add (1,5)=16 Succeeded, w=45\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=63\",\"Find(0)=0, Find(2)=4, Add (0,2)=19 Succeeded, w=82\",\"Find(3)=0, Find(6)=0, Add (3,6)=23 Failed, w=82\",\"Find(3)=0, Find(5)=0, Add (3,5)=24 Failed, w=82\",\"Find(1)=0, Find(7)=0, Add (1,7)=29 Failed, w=82\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=82\",\"Find(0)=0, Find(4)=0, Add (0,4)=38 Failed, w=82\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=82\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=82\",\"Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=82\",\"Find(1)=0, Find(6)=0, Add (1,6)=49 Failed, w=82\",\"Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=82\",\"Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=82\",\"Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=82\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=82\",\"Find(0)=0, Find(7)=0, Add (0,7)=80 Failed, w=82\",\"Find(0)=0, Find(6)=0, Add (0,6)=86 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,19],[0,3,18],[0,4,38],[0,5,76],[0,6,86],[0,7,80],[1,4,45],[1,5,16],[1,6,49],[1,7,29],[2,3,44],[2,4,29],[2,6,8],[2,7,6],[3,5,24],[3,6,23],[3,7,69],[4,5,65],[4,6,4],[4,7,4],[5,6,55],[5,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=4,(4,7)=4,(2,7)=6,(2,6)=8,(5,7)=15,(1,5)=16,(0,3)=18,(0,2)=19,(3,6)=23,(3,5)=24,(1,7)=29,(2,4)=29,(0,4)=38,(2,3)=44,(1,4)=45,(0,1)=49,(1,6)=49,(5,6)=55,(4,5)=65,(3,7)=69,(0,5)=76,(0,7)=80,(0,6)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=6 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=8 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=5, Find(7)=4, Add (5,7)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=1, Find(5)=4, Add (1,5)=16 Succeeded, w=45\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=63\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(2)=4, Add (0,2)=19 Succeeded, w=82\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 4, 6: 0, 7: 4}, Find(3)=0, Find(6)=0, Add (3,6)=23 Failed, w=82\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(3)=0, Find(5)=0, Add (3,5)=24 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=29 Failed, w=82\",\"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)=29 Failed, w=82\",\"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)=38 Failed, w=82\",\"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)=44 Failed, w=82\",\"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)=45 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=82\",\"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)=49 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=82\",\"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)=65 Failed, w=82\",\"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)=69 Failed, w=82\",\"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)=76 Failed, w=82\",\"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)=80 Failed, w=82\",\"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)=86 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,57],[0,3,3],[0,5,63],[1,3,30],[1,4,77],[1,5,88],[2,4,37],[2,5,47],[2,6,40],[2,7,46],[3,4,62],[3,7,73],[4,5,96],[4,6,5],[4,7,45],[5,6,28],[5,7,78],[6,7,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,3],[0,5,63],[1,3,30],[1,4,77],[1,5,88],[2,4,37],[2,5,47],[2,6,40],[2,7,46],[3,4,62],[3,7,73],[4,5,96],[4,6,5],[4,7,45],[5,6,28],[5,7,78],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,3],[0,5,63],[1,3,30],[1,4,77],[1,5,88],[2,4,37],[2,5,47],[2,6,40],[2,7,46],[3,4,62],[3,7,73],[4,5,96],[4,6,5],[4,7,45],[5,6,28],[5,7,78],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (4,7)\",\"Add (3,4)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,3],[0,5,63],[1,3,30],[1,4,77],[1,5,88],[2,4,37],[2,5,47],[2,6,40],[2,7,46],[3,4,62],[3,7,73],[4,5,96],[4,6,5],[4,7,45],[5,6,28],[5,7,78],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (4,6)=5, w=8\",\"Add (5,6)=28, w=36\",\"Add (1,3)=30, w=66\",\"Add (2,4)=37, w=103\",\"Add (4,7)=45, w=148\",\"Add (3,4)=62, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,3],[0,5,63],[1,3,30],[1,4,77],[1,5,88],[2,4,37],[2,5,47],[2,6,40],[2,7,46],[3,4,62],[3,7,73],[4,5,96],[4,6,5],[4,7,45],[5,6,28],[5,7,78],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (4,6)=5 Succeeded, w=8\",\"Add (5,6)=28 Succeeded, w=36\",\"Add (1,3)=30 Succeeded, w=66\",\"Add (2,4)=37 Succeeded, w=103\",\"Add (2,6)=40 Failed, w=103\",\"Add (4,7)=45 Succeeded, w=148\",\"Add (2,7)=46 Failed, w=148\",\"Add (2,5)=47 Failed, w=148\",\"Add (0,1)=57 Failed, w=148\",\"Add (3,4)=62 Succeeded, w=210\",\"Add (0,5)=63 Failed, w=210\",\"Add (3,7)=73 Failed, w=210\",\"Add (1,4)=77 Failed, w=210\",\"Add (5,7)=78 Failed, w=210\",\"Add (1,5)=88 Failed, w=210\",\"Add (4,5)=96 Failed, w=210\",\"Add (6,7)=97 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,3],[0,5,63],[1,3,30],[1,4,77],[1,5,88],[2,4,37],[2,5,47],[2,6,40],[2,7,46],[3,4,62],[3,7,73],[4,5,96],[4,6,5],[4,7,45],[5,6,28],[5,7,78],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(4,6)=5,(5,6)=28,(1,3)=30,(2,4)=37,(2,6)=40,(4,7)=45,(2,7)=46,(2,5)=47,(0,1)=57,(3,4)=62,(0,5)=63,(3,7)=73,(1,4)=77,(5,7)=78,(1,5)=88,(4,5)=96,(6,7)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Find(5)=5, Find(6)=4, Add (5,6)=28 Succeeded, w=36\",\"Find(1)=1, Find(3)=0, Add (1,3)=30 Succeeded, w=66\",\"Find(2)=2, Find(4)=4, Add (2,4)=37 Succeeded, w=103\",\"Find(2)=4, Find(6)=4, Add (2,6)=40 Failed, w=103\",\"Find(4)=4, Find(7)=7, Add (4,7)=45 Succeeded, w=148\",\"Find(2)=4, Find(7)=4, Add (2,7)=46 Failed, w=148\",\"Find(2)=4, Find(5)=4, Add (2,5)=47 Failed, w=148\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=148\",\"Find(3)=0, Find(4)=4, Add (3,4)=62 Succeeded, w=210\",\"Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=210\",\"Find(3)=0, Find(7)=0, Add (3,7)=73 Failed, w=210\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=210\",\"Find(5)=0, Find(7)=0, Add (5,7)=78 Failed, w=210\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=210\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=210\",\"Find(6)=0, Find(7)=0, Add (6,7)=97 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,3],[0,5,63],[1,3,30],[1,4,77],[1,5,88],[2,4,37],[2,5,47],[2,6,40],[2,7,46],[3,4,62],[3,7,73],[4,5,96],[4,6,5],[4,7,45],[5,6,28],[5,7,78],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(4,6)=5,(5,6)=28,(1,3)=30,(2,4)=37,(2,6)=40,(4,7)=45,(2,7)=46,(2,5)=47,(0,1)=57,(3,4)=62,(0,5)=63,(3,7)=73,(1,4)=77,(5,7)=78,(1,5)=88,(4,5)=96,(6,7)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=5, Find(6)=4, Add (5,6)=28 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=1, Find(3)=0, Add (1,3)=30 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=37 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=4, Find(6)=4, Add (2,6)=40 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=45 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=46 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=47 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4, 6: 4, 7: 4}, Find(3)=0, Find(4)=4, Add (3,4)=62 Succeeded, w=210\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4, 7: 4}, Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=73 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=78 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=97 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,2,8],[0,3,11],[0,4,58],[0,5,21],[1,2,13],[1,3,18],[1,4,88],[1,5,43],[2,3,28],[2,4,77],[2,5,48],[3,4,87],[3,5,88],[4,5,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,8],[0,3,11],[0,4,58],[0,5,21],[1,2,13],[1,3,18],[1,4,88],[1,5,43],[2,3,28],[2,4,77],[2,5,48],[3,4,87],[3,5,88],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,8],[0,3,11],[0,4,58],[0,5,21],[1,2,13],[1,3,18],[1,4,88],[1,5,43],[2,3,28],[2,4,77],[2,5,48],[3,4,87],[3,5,88],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (4,5)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,8],[0,3,11],[0,4,58],[0,5,21],[1,2,13],[1,3,18],[1,4,88],[1,5,43],[2,3,28],[2,4,77],[2,5,48],[3,4,87],[3,5,88],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (0,3)=11, w=19\",\"Add (1,2)=13, w=32\",\"Add (0,5)=21, w=53\",\"Add (4,5)=52, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,8],[0,3,11],[0,4,58],[0,5,21],[1,2,13],[1,3,18],[1,4,88],[1,5,43],[2,3,28],[2,4,77],[2,5,48],[3,4,87],[3,5,88],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (0,3)=11 Succeeded, w=19\",\"Add (1,2)=13 Succeeded, w=32\",\"Add (0,1)=16 Failed, w=32\",\"Add (1,3)=18 Failed, w=32\",\"Add (0,5)=21 Succeeded, w=53\",\"Add (2,3)=28 Failed, w=53\",\"Add (1,5)=43 Failed, w=53\",\"Add (2,5)=48 Failed, w=53\",\"Add (4,5)=52 Succeeded, w=105\",\"Add (0,4)=58 Failed, w=105\",\"Add (2,4)=77 Failed, w=105\",\"Add (3,4)=87 Failed, w=105\",\"Add (1,4)=88 Failed, w=105\",\"Add (3,5)=88 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,8],[0,3,11],[0,4,58],[0,5,21],[1,2,13],[1,3,18],[1,4,88],[1,5,43],[2,3,28],[2,4,77],[2,5,48],[3,4,87],[3,5,88],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(0,3)=11,(1,2)=13,(0,1)=16,(1,3)=18,(0,5)=21,(2,3)=28,(1,5)=43,(2,5)=48,(4,5)=52,(0,4)=58,(2,4)=77,(3,4)=87,(1,4)=88,(3,5)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=13 Succeeded, w=32\",\"Find(0)=0, Find(1)=0, Add (0,1)=16 Failed, w=32\",\"Find(1)=0, Find(3)=0, Add (1,3)=18 Failed, w=32\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=53\",\"Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=53\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=53\",\"Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=53\",\"Find(4)=4, Find(5)=0, Add (4,5)=52 Succeeded, w=105\",\"Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=105\",\"Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=105\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=105\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=105\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,8],[0,3,11],[0,4,58],[0,5,21],[1,2,13],[1,3,18],[1,4,88],[1,5,43],[2,3,28],[2,4,77],[2,5,48],[3,4,87],[3,5,88],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(0,3)=11,(1,2)=13,(0,1)=16,(1,3)=18,(0,5)=21,(2,3)=28,(1,5)=43,(2,5)=48,(4,5)=52,(0,4)=58,(2,4)=77,(3,4)=87,(1,4)=88,(3,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(2)=0, Add (1,2)=13 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(1)=0, Add (0,1)=16 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(3)=0, Add (1,3)=18 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=52 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,93],[0,2,84],[0,4,92],[1,3,32],[1,4,22],[2,4,9],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,84],[0,4,92],[1,3,32],[1,4,22],[2,4,9],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,84],[0,4,92],[1,3,32],[1,4,22],[2,4,9],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,84],[0,4,92],[1,3,32],[1,4,22],[2,4,9],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9, w=9\",\"Add (1,4)=22, w=31\",\"Add (1,3)=32, w=63\",\"Add (0,2)=84, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,84],[0,4,92],[1,3,32],[1,4,22],[2,4,9],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9 Succeeded, w=9\",\"Add (1,4)=22 Succeeded, w=31\",\"Add (1,3)=32 Succeeded, w=63\",\"Add (3,4)=81 Failed, w=63\",\"Add (0,2)=84 Succeeded, w=147\",\"Add (0,4)=92 Failed, w=147\",\"Add (0,1)=93 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,84],[0,4,92],[1,3,32],[1,4,22],[2,4,9],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(1,4)=22,(1,3)=32,(3,4)=81,(0,2)=84,(0,4)=92,(0,1)=93]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Find(1)=1, Find(4)=2, Add (1,4)=22 Succeeded, w=31\",\"Find(1)=2, Find(3)=3, Add (1,3)=32 Succeeded, w=63\",\"Find(3)=2, Find(4)=2, Add (3,4)=81 Failed, w=63\",\"Find(0)=0, Find(2)=2, Add (0,2)=84 Succeeded, w=147\",\"Find(0)=2, Find(4)=2, Add (0,4)=92 Failed, w=147\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,84],[0,4,92],[1,3,32],[1,4,22],[2,4,9],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(1,4)=22,(1,3)=32,(3,4)=81,(0,2)=84,(0,4)=92,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=22 Succeeded, w=31\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=32 Succeeded, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=81 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=84 Succeeded, w=147\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=92 Failed, w=147\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,78],[0,2,70],[0,3,4],[0,4,44],[0,5,1],[0,6,26],[1,2,24],[1,6,12],[2,3,42],[2,4,42],[2,5,57],[2,6,37],[3,5,38],[3,6,84],[4,6,79],[5,6,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,3,4],[0,4,44],[0,5,1],[0,6,26],[1,2,24],[1,6,12],[2,3,42],[2,4,42],[2,5,57],[2,6,37],[3,5,38],[3,6,84],[4,6,79],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,3,4],[0,4,44],[0,5,1],[0,6,26],[1,2,24],[1,6,12],[2,3,42],[2,4,42],[2,5,57],[2,6,37],[3,5,38],[3,6,84],[4,6,79],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (2,4)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,3,4],[0,4,44],[0,5,1],[0,6,26],[1,2,24],[1,6,12],[2,3,42],[2,4,42],[2,5,57],[2,6,37],[3,5,38],[3,6,84],[4,6,79],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (0,3)=4, w=5\",\"Add (1,6)=12, w=17\",\"Add (1,2)=24, w=41\",\"Add (0,6)=26, w=67\",\"Add (2,4)=42, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,3,4],[0,4,44],[0,5,1],[0,6,26],[1,2,24],[1,6,12],[2,3,42],[2,4,42],[2,5,57],[2,6,37],[3,5,38],[3,6,84],[4,6,79],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (0,3)=4 Succeeded, w=5\",\"Add (1,6)=12 Succeeded, w=17\",\"Add (1,2)=24 Succeeded, w=41\",\"Add (0,6)=26 Succeeded, w=67\",\"Add (2,6)=37 Failed, w=67\",\"Add (3,5)=38 Failed, w=67\",\"Add (2,3)=42 Failed, w=67\",\"Add (2,4)=42 Succeeded, w=109\",\"Add (0,4)=44 Failed, w=109\",\"Add (5,6)=56 Failed, w=109\",\"Add (2,5)=57 Failed, w=109\",\"Add (0,2)=70 Failed, w=109\",\"Add (0,1)=78 Failed, w=109\",\"Add (4,6)=79 Failed, w=109\",\"Add (3,6)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,3,4],[0,4,44],[0,5,1],[0,6,26],[1,2,24],[1,6,12],[2,3,42],[2,4,42],[2,5,57],[2,6,37],[3,5,38],[3,6,84],[4,6,79],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(0,3)=4,(1,6)=12,(1,2)=24,(0,6)=26,(2,6)=37,(3,5)=38,(2,3)=42,(2,4)=42,(0,4)=44,(5,6)=56,(2,5)=57,(0,2)=70,(0,1)=78,(4,6)=79,(3,6)=84]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=5\",\"Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=17\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=41\",\"Find(0)=0, Find(6)=1, Add (0,6)=26 Succeeded, w=67\",\"Find(2)=0, Find(6)=0, Add (2,6)=37 Failed, w=67\",\"Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=67\",\"Find(2)=0, Find(3)=0, Add (2,3)=42 Failed, w=67\",\"Find(2)=0, Find(4)=4, Add (2,4)=42 Succeeded, w=109\",\"Find(0)=0, Find(4)=0, Add (0,4)=44 Failed, w=109\",\"Find(5)=0, Find(6)=0, Add (5,6)=56 Failed, w=109\",\"Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=109\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=109\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=109\",\"Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=109\",\"Find(3)=0, Find(6)=0, Add (3,6)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,70],[0,3,4],[0,4,44],[0,5,1],[0,6,26],[1,2,24],[1,6,12],[2,3,42],[2,4,42],[2,5,57],[2,6,37],[3,5,38],[3,6,84],[4,6,79],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(0,3)=4,(1,6)=12,(1,2)=24,(0,6)=26,(2,6)=37,(3,5)=38,(2,3)=42,(2,4)=42,(0,4)=44,(5,6)=56,(2,5)=57,(0,2)=70,(0,1)=78,(4,6)=79,(3,6)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=26 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=37 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=42 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=4, Add (2,4)=42 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=44 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=56 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,87],[0,2,82],[0,3,34],[0,4,22],[0,6,14],[1,2,51],[1,4,59],[1,5,69],[2,4,13],[2,6,47],[3,6,58],[3,7,87],[4,7,55],[5,6,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,82],[0,3,34],[0,4,22],[0,6,14],[1,2,51],[1,4,59],[1,5,69],[2,4,13],[2,6,47],[3,6,58],[3,7,87],[4,7,55],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,82],[0,3,34],[0,4,22],[0,6,14],[1,2,51],[1,4,59],[1,5,69],[2,4,13],[2,6,47],[3,6,58],[3,7,87],[4,7,55],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (4,7)\",\"Add (1,5)\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,82],[0,3,34],[0,4,22],[0,6,14],[1,2,51],[1,4,59],[1,5,69],[2,4,13],[2,6,47],[3,6,58],[3,7,87],[4,7,55],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=13, w=13\",\"Add (0,6)=14, w=27\",\"Add (0,4)=22, w=49\",\"Add (0,3)=34, w=83\",\"Add (1,2)=51, w=134\",\"Add (4,7)=55, w=189\",\"Add (1,5)=69, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,82],[0,3,34],[0,4,22],[0,6,14],[1,2,51],[1,4,59],[1,5,69],[2,4,13],[2,6,47],[3,6,58],[3,7,87],[4,7,55],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=13 Succeeded, w=13\",\"Add (0,6)=14 Succeeded, w=27\",\"Add (0,4)=22 Succeeded, w=49\",\"Add (0,3)=34 Succeeded, w=83\",\"Add (2,6)=47 Failed, w=83\",\"Add (1,2)=51 Succeeded, w=134\",\"Add (4,7)=55 Succeeded, w=189\",\"Add (3,6)=58 Failed, w=189\",\"Add (1,4)=59 Failed, w=189\",\"Add (1,5)=69 Succeeded, w=258\",\"Add (5,6)=73 Failed, w=258\",\"Add (0,2)=82 Failed, w=258\",\"Add (0,1)=87 Failed, w=258\",\"Add (3,7)=87 Failed, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,82],[0,3,34],[0,4,22],[0,6,14],[1,2,51],[1,4,59],[1,5,69],[2,4,13],[2,6,47],[3,6,58],[3,7,87],[4,7,55],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=13,(0,6)=14,(0,4)=22,(0,3)=34,(2,6)=47,(1,2)=51,(4,7)=55,(3,6)=58,(1,4)=59,(1,5)=69,(5,6)=73,(0,2)=82,(0,1)=87,(3,7)=87]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=13\",\"Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=27\",\"Find(0)=0, Find(4)=2, Add (0,4)=22 Succeeded, w=49\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=83\",\"Find(2)=0, Find(6)=0, Add (2,6)=47 Failed, w=83\",\"Find(1)=1, Find(2)=0, Add (1,2)=51 Succeeded, w=134\",\"Find(4)=0, Find(7)=7, Add (4,7)=55 Succeeded, w=189\",\"Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=189\",\"Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=189\",\"Find(1)=0, Find(5)=5, Add (1,5)=69 Succeeded, w=258\",\"Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=258\",\"Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=258\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=258\",\"Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,82],[0,3,34],[0,4,22],[0,6,14],[1,2,51],[1,4,59],[1,5,69],[2,4,13],[2,6,47],[3,6,58],[3,7,87],[4,7,55],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=13,(0,6)=14,(0,4)=22,(0,3)=34,(2,6)=47,(1,2)=51,(4,7)=55,(3,6)=58,(1,4)=59,(1,5)=69,(5,6)=73,(0,2)=82,(0,1)=87,(3,7)=87]\",\"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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 2, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=22 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(6)=0, Add (2,6)=47 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=51 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=55 Succeeded, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=5, Add (1,5)=69 Succeeded, w=258\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=258\",\"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)=82 Failed, w=258\",\"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)=87 Failed, w=258\",\"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)=87 Failed, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,2,87],[0,3,3],[0,4,62],[0,5,62],[0,6,85],[0,7,87],[1,3,99],[1,4,65],[1,5,61],[2,3,59],[2,4,87],[2,5,92],[2,6,30],[2,7,78],[3,5,15],[3,6,22],[3,7,45],[4,5,69],[4,6,62],[5,6,25],[5,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,87],[0,3,3],[0,4,62],[0,5,62],[0,6,85],[0,7,87],[1,3,99],[1,4,65],[1,5,61],[2,3,59],[2,4,87],[2,5,92],[2,6,30],[2,7,78],[3,5,15],[3,6,22],[3,7,45],[4,5,69],[4,6,62],[5,6,25],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,87],[0,3,3],[0,4,62],[0,5,62],[0,6,85],[0,7,87],[1,3,99],[1,4,65],[1,5,61],[2,3,59],[2,4,87],[2,5,92],[2,6,30],[2,7,78],[3,5,15],[3,6,22],[3,7,45],[4,5,69],[4,6,62],[5,6,25],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,87],[0,3,3],[0,4,62],[0,5,62],[0,6,85],[0,7,87],[1,3,99],[1,4,65],[1,5,61],[2,3,59],[2,4,87],[2,5,92],[2,6,30],[2,7,78],[3,5,15],[3,6,22],[3,7,45],[4,5,69],[4,6,62],[5,6,25],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (3,5)=15, w=18\",\"Add (3,6)=22, w=40\",\"Add (2,6)=30, w=70\",\"Add (3,7)=45, w=115\",\"Add (0,1)=58, w=173\",\"Add (0,4)=62, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,87],[0,3,3],[0,4,62],[0,5,62],[0,6,85],[0,7,87],[1,3,99],[1,4,65],[1,5,61],[2,3,59],[2,4,87],[2,5,92],[2,6,30],[2,7,78],[3,5,15],[3,6,22],[3,7,45],[4,5,69],[4,6,62],[5,6,25],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (3,5)=15 Succeeded, w=18\",\"Add (3,6)=22 Succeeded, w=40\",\"Add (5,6)=25 Failed, w=40\",\"Add (2,6)=30 Succeeded, w=70\",\"Add (3,7)=45 Succeeded, w=115\",\"Add (5,7)=52 Failed, w=115\",\"Add (0,1)=58 Succeeded, w=173\",\"Add (2,3)=59 Failed, w=173\",\"Add (1,5)=61 Failed, w=173\",\"Add (0,4)=62 Succeeded, w=235\",\"Add (0,5)=62 Failed, w=235\",\"Add (4,6)=62 Failed, w=235\",\"Add (1,4)=65 Failed, w=235\",\"Add (4,5)=69 Failed, w=235\",\"Add (2,7)=78 Failed, w=235\",\"Add (0,6)=85 Failed, w=235\",\"Add (0,2)=87 Failed, w=235\",\"Add (0,7)=87 Failed, w=235\",\"Add (2,4)=87 Failed, w=235\",\"Add (2,5)=92 Failed, w=235\",\"Add (1,3)=99 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,87],[0,3,3],[0,4,62],[0,5,62],[0,6,85],[0,7,87],[1,3,99],[1,4,65],[1,5,61],[2,3,59],[2,4,87],[2,5,92],[2,6,30],[2,7,78],[3,5,15],[3,6,22],[3,7,45],[4,5,69],[4,6,62],[5,6,25],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(3,5)=15,(3,6)=22,(5,6)=25,(2,6)=30,(3,7)=45,(5,7)=52,(0,1)=58,(2,3)=59,(1,5)=61,(0,4)=62,(0,5)=62,(4,6)=62,(1,4)=65,(4,5)=69,(2,7)=78,(0,6)=85,(0,2)=87,(0,7)=87,(2,4)=87,(2,5)=92,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(3)=0, Find(5)=5, Add (3,5)=15 Succeeded, w=18\",\"Find(3)=0, Find(6)=6, Add (3,6)=22 Succeeded, w=40\",\"Find(5)=0, Find(6)=0, Add (5,6)=25 Failed, w=40\",\"Find(2)=2, Find(6)=0, Add (2,6)=30 Succeeded, w=70\",\"Find(3)=0, Find(7)=7, Add (3,7)=45 Succeeded, w=115\",\"Find(5)=0, Find(7)=0, Add (5,7)=52 Failed, w=115\",\"Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=173\",\"Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=173\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=173\",\"Find(0)=0, Find(4)=4, Add (0,4)=62 Succeeded, w=235\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=235\",\"Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=235\",\"Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=235\",\"Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=235\",\"Find(2)=0, Find(7)=0, Add (2,7)=78 Failed, w=235\",\"Find(0)=0, Find(6)=0, Add (0,6)=85 Failed, w=235\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=235\",\"Find(0)=0, Find(7)=0, Add (0,7)=87 Failed, w=235\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=235\",\"Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=235\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,2,87],[0,3,3],[0,4,62],[0,5,62],[0,6,85],[0,7,87],[1,3,99],[1,4,65],[1,5,61],[2,3,59],[2,4,87],[2,5,92],[2,6,30],[2,7,78],[3,5,15],[3,6,22],[3,7,45],[4,5,69],[4,6,62],[5,6,25],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(3,5)=15,(3,6)=22,(5,6)=25,(2,6)=30,(3,7)=45,(5,7)=52,(0,1)=58,(2,3)=59,(1,5)=61,(0,4)=62,(0,5)=62,(4,6)=62,(1,4)=65,(4,5)=69,(2,7)=78,(0,6)=85,(0,2)=87,(0,7)=87,(2,4)=87,(2,5)=92,(1,3)=99]\",\"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: 0, 6: 6, 7: 7}, Find(3)=0, Find(5)=5, Add (3,5)=15 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(6)=6, Add (3,6)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=0, Add (5,6)=25 Failed, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(2)=2, Find(6)=0, Add (2,6)=30 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=45 Succeeded, w=115\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=52 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=62 Succeeded, w=235\",\"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)=62 Failed, w=235\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=235\",\"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)=65 Failed, w=235\",\"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)=69 Failed, w=235\",\"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)=78 Failed, w=235\",\"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)=85 Failed, w=235\",\"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)=87 Failed, w=235\",\"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)=87 Failed, w=235\",\"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)=87 Failed, w=235\",\"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)=92 Failed, w=235\",\"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)=99 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,19],[0,3,94],[0,4,1],[0,5,74],[0,6,5],[1,2,43],[1,3,85],[1,5,84],[1,6,25],[2,3,92],[2,5,42],[3,5,5],[3,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,94],[0,4,1],[0,5,74],[0,6,5],[1,2,43],[1,3,85],[1,5,84],[1,6,25],[2,3,92],[2,5,42],[3,5,5],[3,6,83]]}",
"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],\"edges\":[[0,2,19],[0,3,94],[0,4,1],[0,5,74],[0,6,5],[1,2,43],[1,3,85],[1,5,84],[1,6,25],[2,3,92],[2,5,42],[3,5,5],[3,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (2,5)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,94],[0,4,1],[0,5,74],[0,6,5],[1,2,43],[1,3,85],[1,5,84],[1,6,25],[2,3,92],[2,5,42],[3,5,5],[3,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (0,6)=5, w=6\",\"Add (3,5)=5, w=11\",\"Add (0,2)=19, w=30\",\"Add (1,6)=25, w=55\",\"Add (2,5)=42, 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],\"edges\":[[0,2,19],[0,3,94],[0,4,1],[0,5,74],[0,6,5],[1,2,43],[1,3,85],[1,5,84],[1,6,25],[2,3,92],[2,5,42],[3,5,5],[3,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (0,6)=5 Succeeded, w=6\",\"Add (3,5)=5 Succeeded, w=11\",\"Add (0,2)=19 Succeeded, w=30\",\"Add (1,6)=25 Succeeded, w=55\",\"Add (2,5)=42 Succeeded, w=97\",\"Add (1,2)=43 Failed, w=97\",\"Add (0,5)=74 Failed, w=97\",\"Add (3,6)=83 Failed, w=97\",\"Add (1,5)=84 Failed, w=97\",\"Add (1,3)=85 Failed, w=97\",\"Add (2,3)=92 Failed, w=97\",\"Add (0,3)=94 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],\"edges\":[[0,2,19],[0,3,94],[0,4,1],[0,5,74],[0,6,5],[1,2,43],[1,3,85],[1,5,84],[1,6,25],[2,3,92],[2,5,42],[3,5,5],[3,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,6)=5,(3,5)=5,(0,2)=19,(1,6)=25,(2,5)=42,(1,2)=43,(0,5)=74,(3,6)=83,(1,5)=84,(1,3)=85,(2,3)=92,(0,3)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=30\",\"Find(1)=1, Find(6)=0, Add (1,6)=25 Succeeded, w=55\",\"Find(2)=0, Find(5)=3, Add (2,5)=42 Succeeded, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=97\",\"Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=97\",\"Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=97\",\"Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=94 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],\"edges\":[[0,2,19],[0,3,94],[0,4,1],[0,5,74],[0,6,5],[1,2,43],[1,3,85],[1,5,84],[1,6,25],[2,3,92],[2,5,42],[3,5,5],[3,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,6)=5,(3,5)=5,(0,2)=19,(1,6)=25,(2,5)=42,(1,2)=43,(0,5)=74,(3,6)=83,(1,5)=84,(1,3)=85,(2,3)=92,(0,3)=94]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 0}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=25 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(5)=3, Add (2,5)=42 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,40],[0,2,53],[0,3,28],[0,4,57],[1,2,15],[1,3,73],[1,4,67],[2,3,90],[2,4,38],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,53],[0,3,28],[0,4,57],[1,2,15],[1,3,73],[1,4,67],[2,3,90],[2,4,38],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,53],[0,3,28],[0,4,57],[1,2,15],[1,3,73],[1,4,67],[2,3,90],[2,4,38],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,53],[0,3,28],[0,4,57],[1,2,15],[1,3,73],[1,4,67],[2,3,90],[2,4,38],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (0,3)=28, w=43\",\"Add (3,4)=29, w=72\",\"Add (2,4)=38, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,53],[0,3,28],[0,4,57],[1,2,15],[1,3,73],[1,4,67],[2,3,90],[2,4,38],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (0,3)=28 Succeeded, w=43\",\"Add (3,4)=29 Succeeded, w=72\",\"Add (2,4)=38 Succeeded, w=110\",\"Add (0,1)=40 Failed, w=110\",\"Add (0,2)=53 Failed, w=110\",\"Add (0,4)=57 Failed, w=110\",\"Add (1,4)=67 Failed, w=110\",\"Add (1,3)=73 Failed, w=110\",\"Add (2,3)=90 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,53],[0,3,28],[0,4,57],[1,2,15],[1,3,73],[1,4,67],[2,3,90],[2,4,38],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(0,3)=28,(3,4)=29,(2,4)=38,(0,1)=40,(0,2)=53,(0,4)=57,(1,4)=67,(1,3)=73,(2,3)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=43\",\"Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=72\",\"Find(2)=1, Find(4)=0, Add (2,4)=38 Succeeded, w=110\",\"Find(0)=1, Find(1)=1, Add (0,1)=40 Failed, w=110\",\"Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=110\",\"Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=110\",\"Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=110\",\"Find(1)=1, Find(3)=1, Add (1,3)=73 Failed, w=110\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,2,53],[0,3,28],[0,4,57],[1,2,15],[1,3,73],[1,4,67],[2,3,90],[2,4,38],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(0,3)=28,(3,4)=29,(2,4)=38,(0,1)=40,(0,2)=53,(0,4)=57,(1,4)=67,(1,3)=73,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(2)=1, Find(4)=0, Add (2,4)=38 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=40 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=57 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=73 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,66],[0,3,70],[0,4,63],[1,2,97],[1,3,37],[1,6,89],[2,5,54],[3,5,84],[3,7,39],[4,6,61],[6,7,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,70],[0,4,63],[1,2,97],[1,3,37],[1,6,89],[2,5,54],[3,5,84],[3,7,39],[4,6,61],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,70],[0,4,63],[1,2,97],[1,3,37],[1,6,89],[2,5,54],[3,5,84],[3,7,39],[4,6,61],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,7)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (6,7)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,70],[0,4,63],[1,2,97],[1,3,37],[1,6,89],[2,5,54],[3,5,84],[3,7,39],[4,6,61],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=37, w=37\",\"Add (3,7)=39, w=76\",\"Add (2,5)=54, w=130\",\"Add (4,6)=61, w=191\",\"Add (6,7)=61, w=252\",\"Add (0,4)=63, w=315\",\"Add (0,2)=66, w=381\"],\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,70],[0,4,63],[1,2,97],[1,3,37],[1,6,89],[2,5,54],[3,5,84],[3,7,39],[4,6,61],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=37 Succeeded, w=37\",\"Add (3,7)=39 Succeeded, w=76\",\"Add (2,5)=54 Succeeded, w=130\",\"Add (4,6)=61 Succeeded, w=191\",\"Add (6,7)=61 Succeeded, w=252\",\"Add (0,4)=63 Succeeded, w=315\",\"Add (0,2)=66 Succeeded, w=381\",\"Add (0,3)=70 Failed, w=381\",\"Add (3,5)=84 Failed, w=381\",\"Add (1,6)=89 Failed, w=381\",\"Add (1,2)=97 Failed, w=381\"],\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,70],[0,4,63],[1,2,97],[1,3,37],[1,6,89],[2,5,54],[3,5,84],[3,7,39],[4,6,61],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=37,(3,7)=39,(2,5)=54,(4,6)=61,(6,7)=61,(0,4)=63,(0,2)=66,(0,3)=70,(3,5)=84,(1,6)=89,(1,2)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=37\",\"Find(3)=1, Find(7)=7, Add (3,7)=39 Succeeded, w=76\",\"Find(2)=2, Find(5)=5, Add (2,5)=54 Succeeded, w=130\",\"Find(4)=4, Find(6)=6, Add (4,6)=61 Succeeded, w=191\",\"Find(6)=4, Find(7)=1, Add (6,7)=61 Succeeded, w=252\",\"Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=315\",\"Find(0)=4, Find(2)=2, Add (0,2)=66 Succeeded, w=381\",\"Find(0)=4, Find(3)=4, Add (0,3)=70 Failed, w=381\",\"Find(3)=4, Find(5)=4, Add (3,5)=84 Failed, w=381\",\"Find(1)=4, Find(6)=4, Add (1,6)=89 Failed, w=381\",\"Find(1)=4, Find(2)=4, Add (1,2)=97 Failed, w=381\"],\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,70],[0,4,63],[1,2,97],[1,3,37],[1,6,89],[2,5,54],[3,5,84],[3,7,39],[4,6,61],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=37,(3,7)=39,(2,5)=54,(4,6)=61,(6,7)=61,(0,4)=63,(0,2)=66,(0,3)=70,(3,5)=84,(1,6)=89,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=39 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6, 7: 1}, Find(2)=2, Find(5)=5, Add (2,5)=54 Succeeded, w=130\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 4, 7: 1}, Find(4)=4, Find(6)=6, Add (4,6)=61 Succeeded, w=191\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 1, 4: 4, 5: 2, 6: 4, 7: 1}, Find(6)=4, Find(7)=1, Add (6,7)=61 Succeeded, w=252\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 1, 4: 4, 5: 2, 6: 4, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=315\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 2, 6: 4, 7: 1}, Find(0)=4, Find(2)=2, Add (0,2)=66 Succeeded, w=381\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4, 7: 1}, Find(0)=4, Find(3)=4, Add (0,3)=70 Failed, w=381\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(3)=4, Find(5)=4, Add (3,5)=84 Failed, w=381\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(1)=4, Find(6)=4, Add (1,6)=89 Failed, w=381\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(1)=4, Find(2)=4, Add (1,2)=97 Failed, w=381\"],\"Answer\":381}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,58],[0,3,66],[0,4,29],[0,5,14],[1,4,48],[1,5,59],[2,4,95],[2,5,15],[3,5,81],[4,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,58],[0,3,66],[0,4,29],[0,5,14],[1,4,48],[1,5,59],[2,4,95],[2,5,15],[3,5,81],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,58],[0,3,66],[0,4,29],[0,5,14],[1,4,48],[1,5,59],[2,4,95],[2,5,15],[3,5,81],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (0,3)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,58],[0,3,66],[0,4,29],[0,5,14],[1,4,48],[1,5,59],[2,4,95],[2,5,15],[3,5,81],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\",\"Add (0,5)=14, w=27\",\"Add (2,5)=15, w=42\",\"Add (0,4)=29, w=71\",\"Add (0,3)=66, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,58],[0,3,66],[0,4,29],[0,5,14],[1,4,48],[1,5,59],[2,4,95],[2,5,15],[3,5,81],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\",\"Add (0,5)=14 Succeeded, w=27\",\"Add (2,5)=15 Succeeded, w=42\",\"Add (0,4)=29 Succeeded, w=71\",\"Add (1,4)=48 Failed, w=71\",\"Add (0,2)=58 Failed, w=71\",\"Add (1,5)=59 Failed, w=71\",\"Add (0,3)=66 Succeeded, w=137\",\"Add (3,5)=81 Failed, w=137\",\"Add (2,4)=95 Failed, w=137\",\"Add (4,5)=98 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,58],[0,3,66],[0,4,29],[0,5,14],[1,4,48],[1,5,59],[2,4,95],[2,5,15],[3,5,81],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(0,5)=14,(2,5)=15,(0,4)=29,(1,4)=48,(0,2)=58,(1,5)=59,(0,3)=66,(3,5)=81,(2,4)=95,(4,5)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=27\",\"Find(2)=2, Find(5)=0, Add (2,5)=15 Succeeded, w=42\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=71\",\"Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=71\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=71\",\"Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=71\",\"Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=137\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=137\",\"Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=137\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,58],[0,3,66],[0,4,29],[0,5,14],[1,4,48],[1,5,59],[2,4,95],[2,5,15],[3,5,81],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(0,5)=14,(2,5)=15,(0,4)=29,(1,4)=48,(0,2)=58,(1,5)=59,(0,3)=66,(3,5)=81,(2,4)=95,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=15 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,65],[0,6,26],[1,2,62],[1,3,50],[1,4,64],[2,5,85],[2,7,95],[3,4,20],[3,5,67],[3,6,63],[3,7,3],[4,6,95],[5,6,38],[5,7,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,65],[0,6,26],[1,2,62],[1,3,50],[1,4,64],[2,5,85],[2,7,95],[3,4,20],[3,5,67],[3,6,63],[3,7,3],[4,6,95],[5,6,38],[5,7,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":262}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,65],[0,6,26],[1,2,62],[1,3,50],[1,4,64],[2,5,85],[2,7,95],[3,4,20],[3,5,67],[3,6,63],[3,7,3],[4,6,95],[5,6,38],[5,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (3,6)\"],\"Answer\":262}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,65],[0,6,26],[1,2,62],[1,3,50],[1,4,64],[2,5,85],[2,7,95],[3,4,20],[3,5,67],[3,6,63],[3,7,3],[4,6,95],[5,6,38],[5,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=3, w=3\",\"Add (3,4)=20, w=23\",\"Add (0,6)=26, w=49\",\"Add (5,6)=38, w=87\",\"Add (1,3)=50, w=137\",\"Add (1,2)=62, w=199\",\"Add (3,6)=63, w=262\"],\"Answer\":262}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,65],[0,6,26],[1,2,62],[1,3,50],[1,4,64],[2,5,85],[2,7,95],[3,4,20],[3,5,67],[3,6,63],[3,7,3],[4,6,95],[5,6,38],[5,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=3 Succeeded, w=3\",\"Add (3,4)=20 Succeeded, w=23\",\"Add (0,6)=26 Succeeded, w=49\",\"Add (5,6)=38 Succeeded, w=87\",\"Add (1,3)=50 Succeeded, w=137\",\"Add (1,2)=62 Succeeded, w=199\",\"Add (3,6)=63 Succeeded, w=262\",\"Add (1,4)=64 Failed, w=262\",\"Add (0,4)=65 Failed, w=262\",\"Add (3,5)=67 Failed, w=262\",\"Add (2,5)=85 Failed, w=262\",\"Add (5,7)=90 Failed, w=262\",\"Add (2,7)=95 Failed, w=262\",\"Add (4,6)=95 Failed, w=262\"],\"Answer\":262}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,65],[0,6,26],[1,2,62],[1,3,50],[1,4,64],[2,5,85],[2,7,95],[3,4,20],[3,5,67],[3,6,63],[3,7,3],[4,6,95],[5,6,38],[5,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=3,(3,4)=20,(0,6)=26,(5,6)=38,(1,3)=50,(1,2)=62,(3,6)=63,(1,4)=64,(0,4)=65,(3,5)=67,(2,5)=85,(5,7)=90,(2,7)=95,(4,6)=95]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=23\",\"Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=49\",\"Find(5)=5, Find(6)=0, Add (5,6)=38 Succeeded, w=87\",\"Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=137\",\"Find(1)=3, Find(2)=2, Add (1,2)=62 Succeeded, w=199\",\"Find(3)=3, Find(6)=0, Add (3,6)=63 Succeeded, w=262\",\"Find(1)=3, Find(4)=3, Add (1,4)=64 Failed, w=262\",\"Find(0)=3, Find(4)=3, Add (0,4)=65 Failed, w=262\",\"Find(3)=3, Find(5)=3, Add (3,5)=67 Failed, w=262\",\"Find(2)=3, Find(5)=3, Add (2,5)=85 Failed, w=262\",\"Find(5)=3, Find(7)=3, Add (5,7)=90 Failed, w=262\",\"Find(2)=3, Find(7)=3, Add (2,7)=95 Failed, w=262\",\"Find(4)=3, Find(6)=3, Add (4,6)=95 Failed, w=262\"],\"Answer\":262}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,65],[0,6,26],[1,2,62],[1,3,50],[1,4,64],[2,5,85],[2,7,95],[3,4,20],[3,5,67],[3,6,63],[3,7,3],[4,6,95],[5,6,38],[5,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=3,(3,4)=20,(0,6)=26,(5,6)=38,(1,3)=50,(1,2)=62,(3,6)=63,(1,4)=64,(0,4)=65,(3,5)=67,(2,5)=85,(5,7)=90,(2,7)=95,(4,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 0, 7: 3}, Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(5)=5, Find(6)=0, Add (5,6)=38 Succeeded, w=87\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=137\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(1)=3, Find(2)=2, Add (1,2)=62 Succeeded, w=199\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(3)=3, Find(6)=0, Add (3,6)=63 Succeeded, w=262\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=64 Failed, w=262\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=65 Failed, w=262\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=67 Failed, w=262\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=85 Failed, w=262\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=90 Failed, w=262\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=95 Failed, w=262\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=95 Failed, w=262\"],\"Answer\":262}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,34],[0,3,81],[0,4,51],[0,5,86],[0,6,64],[0,7,97],[1,2,48],[1,3,8],[1,4,36],[1,5,81],[1,6,54],[1,7,90],[2,3,35],[2,4,78],[2,5,62],[2,6,24],[2,7,15],[3,4,91],[3,5,66],[3,6,92],[3,7,49],[4,5,2],[4,6,8],[4,7,55],[5,6,41],[5,7,89],[6,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,34],[0,3,81],[0,4,51],[0,5,86],[0,6,64],[0,7,97],[1,2,48],[1,3,8],[1,4,36],[1,5,81],[1,6,54],[1,7,90],[2,3,35],[2,4,78],[2,5,62],[2,6,24],[2,7,15],[3,4,91],[3,5,66],[3,6,92],[3,7,49],[4,5,2],[4,6,8],[4,7,55],[5,6,41],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,34],[0,3,81],[0,4,51],[0,5,86],[0,6,64],[0,7,97],[1,2,48],[1,3,8],[1,4,36],[1,5,81],[1,6,54],[1,7,90],[2,3,35],[2,4,78],[2,5,62],[2,6,24],[2,7,15],[3,4,91],[3,5,66],[3,6,92],[3,7,49],[4,5,2],[4,6,8],[4,7,55],[5,6,41],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (2,7)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (0,2)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,34],[0,3,81],[0,4,51],[0,5,86],[0,6,64],[0,7,97],[1,2,48],[1,3,8],[1,4,36],[1,5,81],[1,6,54],[1,7,90],[2,3,35],[2,4,78],[2,5,62],[2,6,24],[2,7,15],[3,4,91],[3,5,66],[3,6,92],[3,7,49],[4,5,2],[4,6,8],[4,7,55],[5,6,41],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (1,3)=8, w=10\",\"Add (4,6)=8, w=18\",\"Add (2,7)=15, w=33\",\"Add (0,1)=17, w=50\",\"Add (2,6)=24, w=74\",\"Add (0,2)=34, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,34],[0,3,81],[0,4,51],[0,5,86],[0,6,64],[0,7,97],[1,2,48],[1,3,8],[1,4,36],[1,5,81],[1,6,54],[1,7,90],[2,3,35],[2,4,78],[2,5,62],[2,6,24],[2,7,15],[3,4,91],[3,5,66],[3,6,92],[3,7,49],[4,5,2],[4,6,8],[4,7,55],[5,6,41],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (1,3)=8 Succeeded, w=10\",\"Add (4,6)=8 Succeeded, w=18\",\"Add (2,7)=15 Succeeded, w=33\",\"Add (0,1)=17 Succeeded, w=50\",\"Add (2,6)=24 Succeeded, w=74\",\"Add (0,2)=34 Succeeded, w=108\",\"Add (2,3)=35 Failed, w=108\",\"Add (1,4)=36 Failed, w=108\",\"Add (5,6)=41 Failed, w=108\",\"Add (1,2)=48 Failed, w=108\",\"Add (3,7)=49 Failed, w=108\",\"Add (0,4)=51 Failed, w=108\",\"Add (1,6)=54 Failed, w=108\",\"Add (4,7)=55 Failed, w=108\",\"Add (2,5)=62 Failed, w=108\",\"Add (0,6)=64 Failed, w=108\",\"Add (3,5)=66 Failed, w=108\",\"Add (6,7)=72 Failed, w=108\",\"Add (2,4)=78 Failed, w=108\",\"Add (0,3)=81 Failed, w=108\",\"Add (1,5)=81 Failed, w=108\",\"Add (0,5)=86 Failed, w=108\",\"Add (5,7)=89 Failed, w=108\",\"Add (1,7)=90 Failed, w=108\",\"Add (3,4)=91 Failed, w=108\",\"Add (3,6)=92 Failed, w=108\",\"Add (0,7)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,34],[0,3,81],[0,4,51],[0,5,86],[0,6,64],[0,7,97],[1,2,48],[1,3,8],[1,4,36],[1,5,81],[1,6,54],[1,7,90],[2,3,35],[2,4,78],[2,5,62],[2,6,24],[2,7,15],[3,4,91],[3,5,66],[3,6,92],[3,7,49],[4,5,2],[4,6,8],[4,7,55],[5,6,41],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(1,3)=8,(4,6)=8,(2,7)=15,(0,1)=17,(2,6)=24,(0,2)=34,(2,3)=35,(1,4)=36,(5,6)=41,(1,2)=48,(3,7)=49,(0,4)=51,(1,6)=54,(4,7)=55,(2,5)=62,(0,6)=64,(3,5)=66,(6,7)=72,(2,4)=78,(0,3)=81,(1,5)=81,(0,5)=86,(5,7)=89,(1,7)=90,(3,4)=91,(3,6)=92,(0,7)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=10\",\"Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=18\",\"Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=50\",\"Find(2)=2, Find(6)=4, Add (2,6)=24 Succeeded, w=74\",\"Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=108\",\"Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=108\",\"Find(1)=2, Find(4)=2, Add (1,4)=36 Failed, w=108\",\"Find(5)=2, Find(6)=2, Add (5,6)=41 Failed, w=108\",\"Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=108\",\"Find(3)=2, Find(7)=2, Add (3,7)=49 Failed, w=108\",\"Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=108\",\"Find(1)=2, Find(6)=2, Add (1,6)=54 Failed, w=108\",\"Find(4)=2, Find(7)=2, Add (4,7)=55 Failed, w=108\",\"Find(2)=2, Find(5)=2, Add (2,5)=62 Failed, w=108\",\"Find(0)=2, Find(6)=2, Add (0,6)=64 Failed, w=108\",\"Find(3)=2, Find(5)=2, Add (3,5)=66 Failed, w=108\",\"Find(6)=2, Find(7)=2, Add (6,7)=72 Failed, w=108\",\"Find(2)=2, Find(4)=2, Add (2,4)=78 Failed, w=108\",\"Find(0)=2, Find(3)=2, Add (0,3)=81 Failed, w=108\",\"Find(1)=2, Find(5)=2, Add (1,5)=81 Failed, w=108\",\"Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=108\",\"Find(5)=2, Find(7)=2, Add (5,7)=89 Failed, w=108\",\"Find(1)=2, Find(7)=2, Add (1,7)=90 Failed, w=108\",\"Find(3)=2, Find(4)=2, Add (3,4)=91 Failed, w=108\",\"Find(3)=2, Find(6)=2, Add (3,6)=92 Failed, w=108\",\"Find(0)=2, Find(7)=2, Add (0,7)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,34],[0,3,81],[0,4,51],[0,5,86],[0,6,64],[0,7,97],[1,2,48],[1,3,8],[1,4,36],[1,5,81],[1,6,54],[1,7,90],[2,3,35],[2,4,78],[2,5,62],[2,6,24],[2,7,15],[3,4,91],[3,5,66],[3,6,92],[3,7,49],[4,5,2],[4,6,8],[4,7,55],[5,6,41],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(1,3)=8,(4,6)=8,(2,7)=15,(0,1)=17,(2,6)=24,(0,2)=34,(2,3)=35,(1,4)=36,(5,6)=41,(1,2)=48,(3,7)=49,(0,4)=51,(1,6)=54,(4,7)=55,(2,5)=62,(0,6)=64,(3,5)=66,(6,7)=72,(2,4)=78,(0,3)=81,(1,5)=81,(0,5)=86,(5,7)=89,(1,7)=90,(3,4)=91,(3,6)=92,(0,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 4, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 4, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 4, 6: 4, 7: 2}, Find(2)=2, Find(6)=4, Add (2,6)=24 Succeeded, w=74\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 4, 6: 4, 7: 2}, Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=108\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 4, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=35 Failed, w=108\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 4, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=36 Failed, w=108\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=41 Failed, w=108\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=108\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=49 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=108\",\"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)=54 Failed, w=108\",\"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)=55 Failed, w=108\",\"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)=62 Failed, w=108\",\"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)=64 Failed, w=108\",\"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)=66 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=72 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=78 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=81 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=81 Failed, w=108\",\"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)=86 Failed, w=108\",\"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)=89 Failed, w=108\",\"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)=90 Failed, w=108\",\"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)=91 Failed, w=108\",\"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)=92 Failed, w=108\",\"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)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[1,2,70],[1,3,82],[2,3,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,70],[1,3,82],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,70],[1,3,82],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,70],[1,3,82],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=42, w=42\",\"Add (1,2)=70, w=112\",\"Add (2,3)=77, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,70],[1,3,82],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=42 Succeeded, w=42\",\"Add (1,2)=70 Succeeded, w=112\",\"Add (2,3)=77 Succeeded, w=189\",\"Add (1,3)=82 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,70],[1,3,82],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=42,(1,2)=70,(2,3)=77,(1,3)=82]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=42\",\"Find(1)=0, Find(2)=2, Add (1,2)=70 Succeeded, w=112\",\"Find(2)=0, Find(3)=3, Add (2,3)=77 Succeeded, w=189\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[1,2,70],[1,3,82],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=42,(1,2)=70,(2,3)=77,(1,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=70 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=77 Succeeded, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,5],[1,2,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,2)=29, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,2)=29 Succeeded, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,2)=29]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,2)=29]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,4,67],[0,5,19],[0,6,95],[0,7,88],[1,2,77],[1,3,44],[1,4,51],[1,5,19],[1,6,4],[1,7,51],[2,3,64],[2,4,49],[2,5,53],[2,6,76],[3,4,1],[3,5,54],[3,6,98],[4,5,0],[4,6,78],[5,7,29],[6,7,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,4,67],[0,5,19],[0,6,95],[0,7,88],[1,2,77],[1,3,44],[1,4,51],[1,5,19],[1,6,4],[1,7,51],[2,3,64],[2,4,49],[2,5,53],[2,6,76],[3,4,1],[3,5,54],[3,6,98],[4,5,0],[4,6,78],[5,7,29],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,4,67],[0,5,19],[0,6,95],[0,7,88],[1,2,77],[1,3,44],[1,4,51],[1,5,19],[1,6,4],[1,7,51],[2,3,64],[2,4,49],[2,5,53],[2,6,76],[3,4,1],[3,5,54],[3,6,98],[4,5,0],[4,6,78],[5,7,29],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (6,7)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (2,4)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,4,67],[0,5,19],[0,6,95],[0,7,88],[1,2,77],[1,3,44],[1,4,51],[1,5,19],[1,6,4],[1,7,51],[2,3,64],[2,4,49],[2,5,53],[2,6,76],[3,4,1],[3,5,54],[3,6,98],[4,5,0],[4,6,78],[5,7,29],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (3,4)=1, w=1\",\"Add (1,6)=4, w=5\",\"Add (6,7)=15, w=20\",\"Add (0,5)=19, w=39\",\"Add (1,5)=19, w=58\",\"Add (2,4)=49, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,4,67],[0,5,19],[0,6,95],[0,7,88],[1,2,77],[1,3,44],[1,4,51],[1,5,19],[1,6,4],[1,7,51],[2,3,64],[2,4,49],[2,5,53],[2,6,76],[3,4,1],[3,5,54],[3,6,98],[4,5,0],[4,6,78],[5,7,29],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (3,4)=1 Succeeded, w=1\",\"Add (1,6)=4 Succeeded, w=5\",\"Add (6,7)=15 Succeeded, w=20\",\"Add (0,5)=19 Succeeded, w=39\",\"Add (1,5)=19 Succeeded, w=58\",\"Add (5,7)=29 Failed, w=58\",\"Add (1,3)=44 Failed, w=58\",\"Add (2,4)=49 Succeeded, w=107\",\"Add (1,4)=51 Failed, w=107\",\"Add (1,7)=51 Failed, w=107\",\"Add (2,5)=53 Failed, w=107\",\"Add (3,5)=54 Failed, w=107\",\"Add (2,3)=64 Failed, w=107\",\"Add (0,4)=67 Failed, w=107\",\"Add (2,6)=76 Failed, w=107\",\"Add (1,2)=77 Failed, w=107\",\"Add (4,6)=78 Failed, w=107\",\"Add (0,7)=88 Failed, w=107\",\"Add (0,1)=92 Failed, w=107\",\"Add (0,6)=95 Failed, w=107\",\"Add (3,6)=98 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,4,67],[0,5,19],[0,6,95],[0,7,88],[1,2,77],[1,3,44],[1,4,51],[1,5,19],[1,6,4],[1,7,51],[2,3,64],[2,4,49],[2,5,53],[2,6,76],[3,4,1],[3,5,54],[3,6,98],[4,5,0],[4,6,78],[5,7,29],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(3,4)=1,(1,6)=4,(6,7)=15,(0,5)=19,(1,5)=19,(5,7)=29,(1,3)=44,(2,4)=49,(1,4)=51,(1,7)=51,(2,5)=53,(3,5)=54,(2,3)=64,(0,4)=67,(2,6)=76,(1,2)=77,(4,6)=78,(0,7)=88,(0,1)=92,(0,6)=95,(3,6)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=5\",\"Find(6)=1, Find(7)=7, Add (6,7)=15 Succeeded, w=20\",\"Find(0)=0, Find(5)=4, Add (0,5)=19 Succeeded, w=39\",\"Find(1)=1, Find(5)=4, Add (1,5)=19 Succeeded, w=58\",\"Find(5)=1, Find(7)=1, Add (5,7)=29 Failed, w=58\",\"Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=58\",\"Find(2)=2, Find(4)=1, Add (2,4)=49 Succeeded, w=107\",\"Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=107\",\"Find(1)=1, Find(7)=1, Add (1,7)=51 Failed, w=107\",\"Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=107\",\"Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=107\",\"Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=107\",\"Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=107\",\"Find(2)=1, Find(6)=1, Add (2,6)=76 Failed, w=107\",\"Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=107\",\"Find(4)=1, Find(6)=1, Add (4,6)=78 Failed, w=107\",\"Find(0)=1, Find(7)=1, Add (0,7)=88 Failed, w=107\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=107\",\"Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=107\",\"Find(3)=1, Find(6)=1, Add (3,6)=98 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,4,67],[0,5,19],[0,6,95],[0,7,88],[1,2,77],[1,3,44],[1,4,51],[1,5,19],[1,6,4],[1,7,51],[2,3,64],[2,4,49],[2,5,53],[2,6,76],[3,4,1],[3,5,54],[3,6,98],[4,5,0],[4,6,78],[5,7,29],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(3,4)=1,(1,6)=4,(6,7)=15,(0,5)=19,(1,5)=19,(5,7)=29,(1,3)=44,(2,4)=49,(1,4)=51,(1,7)=51,(2,5)=53,(3,5)=54,(2,3)=64,(0,4)=67,(2,6)=76,(1,2)=77,(4,6)=78,(0,7)=88,(0,1)=92,(0,6)=95,(3,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 1, 7: 1}, Find(6)=1, Find(7)=7, Add (6,7)=15 Succeeded, w=20\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 1, 7: 1}, Find(0)=0, Find(5)=4, Add (0,5)=19 Succeeded, w=39\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 1, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(5)=4, Add (1,5)=19 Succeeded, w=58\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=29 Failed, w=58\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=58\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(4)=1, Add (2,4)=49 Succeeded, w=107\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=107\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=51 Failed, w=107\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=107\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=107\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=107\",\"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)=76 Failed, w=107\",\"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)=77 Failed, w=107\",\"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)=78 Failed, w=107\",\"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)=88 Failed, w=107\",\"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)=92 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=95 Failed, w=107\",\"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=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,84],[0,3,30],[0,4,37],[0,6,36],[1,2,57],[1,3,74],[1,5,81],[2,3,74],[2,4,22],[2,5,37],[2,6,81],[3,5,38],[4,5,70],[5,6,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,3,30],[0,4,37],[0,6,36],[1,2,57],[1,3,74],[1,5,81],[2,3,74],[2,4,22],[2,5,37],[2,6,81],[3,5,38],[4,5,70],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,3,30],[0,4,37],[0,6,36],[1,2,57],[1,3,74],[1,5,81],[2,3,74],[2,4,22],[2,5,37],[2,6,81],[3,5,38],[4,5,70],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (1,2)\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,3,30],[0,4,37],[0,6,36],[1,2,57],[1,3,74],[1,5,81],[2,3,74],[2,4,22],[2,5,37],[2,6,81],[3,5,38],[4,5,70],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=22, w=22\",\"Add (0,3)=30, w=52\",\"Add (0,6)=36, w=88\",\"Add (0,4)=37, w=125\",\"Add (2,5)=37, w=162\",\"Add (1,2)=57, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,3,30],[0,4,37],[0,6,36],[1,2,57],[1,3,74],[1,5,81],[2,3,74],[2,4,22],[2,5,37],[2,6,81],[3,5,38],[4,5,70],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=22 Succeeded, w=22\",\"Add (0,3)=30 Succeeded, w=52\",\"Add (0,6)=36 Succeeded, w=88\",\"Add (0,4)=37 Succeeded, w=125\",\"Add (2,5)=37 Succeeded, w=162\",\"Add (3,5)=38 Failed, w=162\",\"Add (5,6)=50 Failed, w=162\",\"Add (1,2)=57 Succeeded, w=219\",\"Add (4,5)=70 Failed, w=219\",\"Add (1,3)=74 Failed, w=219\",\"Add (2,3)=74 Failed, w=219\",\"Add (1,5)=81 Failed, w=219\",\"Add (2,6)=81 Failed, w=219\",\"Add (0,2)=84 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,3,30],[0,4,37],[0,6,36],[1,2,57],[1,3,74],[1,5,81],[2,3,74],[2,4,22],[2,5,37],[2,6,81],[3,5,38],[4,5,70],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=22,(0,3)=30,(0,6)=36,(0,4)=37,(2,5)=37,(3,5)=38,(5,6)=50,(1,2)=57,(4,5)=70,(1,3)=74,(2,3)=74,(1,5)=81,(2,6)=81,(0,2)=84]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=22 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=52\",\"Find(0)=0, Find(6)=6, Add (0,6)=36 Succeeded, w=88\",\"Find(0)=0, Find(4)=2, Add (0,4)=37 Succeeded, w=125\",\"Find(2)=0, Find(5)=5, Add (2,5)=37 Succeeded, w=162\",\"Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=162\",\"Find(5)=0, Find(6)=0, Add (5,6)=50 Failed, w=162\",\"Find(1)=1, Find(2)=0, Add (1,2)=57 Succeeded, w=219\",\"Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=219\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=219\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=219\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=219\",\"Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=219\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,84],[0,3,30],[0,4,37],[0,6,36],[1,2,57],[1,3,74],[1,5,81],[2,3,74],[2,4,22],[2,5,37],[2,6,81],[3,5,38],[4,5,70],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=22,(0,3)=30,(0,6)=36,(0,4)=37,(2,5)=37,(3,5)=38,(5,6)=50,(1,2)=57,(4,5)=70,(1,3)=74,(2,3)=74,(1,5)=81,(2,6)=81,(0,2)=84]\",\"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)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=36 Succeeded, w=88\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0}, Find(0)=0, Find(4)=2, Add (0,4)=37 Succeeded, w=125\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=37 Succeeded, w=162\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=162\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=50 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=57 Succeeded, w=219\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=219\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=219\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=219\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=219\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=219\",\"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=219\"],\"Answer\":219}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,2],[0,2,44],[0,3,7],[0,4,100],[0,5,23],[0,6,33],[0,7,51],[1,2,95],[1,3,71],[1,4,40],[1,5,27],[1,7,32],[2,3,95],[2,4,57],[2,5,6],[2,6,31],[2,7,16],[3,4,25],[3,5,53],[3,6,62],[3,7,75],[4,5,80],[4,7,97],[5,7,74],[6,7,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,2,44],[0,3,7],[0,4,100],[0,5,23],[0,6,33],[0,7,51],[1,2,95],[1,3,71],[1,4,40],[1,5,27],[1,7,32],[2,3,95],[2,4,57],[2,5,6],[2,6,31],[2,7,16],[3,4,25],[3,5,53],[3,6,62],[3,7,75],[4,5,80],[4,7,97],[5,7,74],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,2,44],[0,3,7],[0,4,100],[0,5,23],[0,6,33],[0,7,51],[1,2,95],[1,3,71],[1,4,40],[1,5,27],[1,7,32],[2,3,95],[2,4,57],[2,5,6],[2,6,31],[2,7,16],[3,4,25],[3,5,53],[3,6,62],[3,7,75],[4,5,80],[4,7,97],[5,7,74],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (2,7)\",\"Add (6,7)\",\"Add (0,5)\",\"Add (3,4)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,2,44],[0,3,7],[0,4,100],[0,5,23],[0,6,33],[0,7,51],[1,2,95],[1,3,71],[1,4,40],[1,5,27],[1,7,32],[2,3,95],[2,4,57],[2,5,6],[2,6,31],[2,7,16],[3,4,25],[3,5,53],[3,6,62],[3,7,75],[4,5,80],[4,7,97],[5,7,74],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (2,5)=6, w=8\",\"Add (0,3)=7, w=15\",\"Add (2,7)=16, w=31\",\"Add (6,7)=21, w=52\",\"Add (0,5)=23, w=75\",\"Add (3,4)=25, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,2,44],[0,3,7],[0,4,100],[0,5,23],[0,6,33],[0,7,51],[1,2,95],[1,3,71],[1,4,40],[1,5,27],[1,7,32],[2,3,95],[2,4,57],[2,5,6],[2,6,31],[2,7,16],[3,4,25],[3,5,53],[3,6,62],[3,7,75],[4,5,80],[4,7,97],[5,7,74],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (2,5)=6 Succeeded, w=8\",\"Add (0,3)=7 Succeeded, w=15\",\"Add (2,7)=16 Succeeded, w=31\",\"Add (6,7)=21 Succeeded, w=52\",\"Add (0,5)=23 Succeeded, w=75\",\"Add (3,4)=25 Succeeded, w=100\",\"Add (1,5)=27 Failed, w=100\",\"Add (2,6)=31 Failed, w=100\",\"Add (1,7)=32 Failed, w=100\",\"Add (0,6)=33 Failed, w=100\",\"Add (1,4)=40 Failed, w=100\",\"Add (0,2)=44 Failed, w=100\",\"Add (0,7)=51 Failed, w=100\",\"Add (3,5)=53 Failed, w=100\",\"Add (2,4)=57 Failed, w=100\",\"Add (3,6)=62 Failed, w=100\",\"Add (1,3)=71 Failed, w=100\",\"Add (5,7)=74 Failed, w=100\",\"Add (3,7)=75 Failed, w=100\",\"Add (4,5)=80 Failed, w=100\",\"Add (1,2)=95 Failed, w=100\",\"Add (2,3)=95 Failed, w=100\",\"Add (4,7)=97 Failed, w=100\",\"Add (0,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,2,44],[0,3,7],[0,4,100],[0,5,23],[0,6,33],[0,7,51],[1,2,95],[1,3,71],[1,4,40],[1,5,27],[1,7,32],[2,3,95],[2,4,57],[2,5,6],[2,6,31],[2,7,16],[3,4,25],[3,5,53],[3,6,62],[3,7,75],[4,5,80],[4,7,97],[5,7,74],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,5)=6,(0,3)=7,(2,7)=16,(6,7)=21,(0,5)=23,(3,4)=25,(1,5)=27,(2,6)=31,(1,7)=32,(0,6)=33,(1,4)=40,(0,2)=44,(0,7)=51,(3,5)=53,(2,4)=57,(3,6)=62,(1,3)=71,(5,7)=74,(3,7)=75,(4,5)=80,(1,2)=95,(2,3)=95,(4,7)=97,(0,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=15\",\"Find(2)=2, Find(7)=7, Add (2,7)=16 Succeeded, w=31\",\"Find(6)=6, Find(7)=2, Add (6,7)=21 Succeeded, w=52\",\"Find(0)=0, Find(5)=2, Add (0,5)=23 Succeeded, w=75\",\"Find(3)=0, Find(4)=4, Add (3,4)=25 Succeeded, w=100\",\"Find(1)=0, Find(5)=0, Add (1,5)=27 Failed, w=100\",\"Find(2)=0, Find(6)=0, Add (2,6)=31 Failed, w=100\",\"Find(1)=0, Find(7)=0, Add (1,7)=32 Failed, w=100\",\"Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=100\",\"Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=100\",\"Find(0)=0, Find(2)=0, Add (0,2)=44 Failed, w=100\",\"Find(0)=0, Find(7)=0, Add (0,7)=51 Failed, w=100\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=100\",\"Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=100\",\"Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=100\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=100\",\"Find(5)=0, Find(7)=0, Add (5,7)=74 Failed, w=100\",\"Find(3)=0, Find(7)=0, Add (3,7)=75 Failed, w=100\",\"Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=100\",\"Find(4)=0, Find(7)=0, Add (4,7)=97 Failed, w=100\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,2,44],[0,3,7],[0,4,100],[0,5,23],[0,6,33],[0,7,51],[1,2,95],[1,3,71],[1,4,40],[1,5,27],[1,7,32],[2,3,95],[2,4,57],[2,5,6],[2,6,31],[2,7,16],[3,4,25],[3,5,53],[3,6,62],[3,7,75],[4,5,80],[4,7,97],[5,7,74],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,5)=6,(0,3)=7,(2,7)=16,(6,7)=21,(0,5)=23,(3,4)=25,(1,5)=27,(2,6)=31,(1,7)=32,(0,6)=33,(1,4)=40,(0,2)=44,(0,7)=51,(3,5)=53,(2,4)=57,(3,6)=62,(1,3)=71,(5,7)=74,(3,7)=75,(4,5)=80,(1,2)=95,(2,3)=95,(4,7)=97,(0,4)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=21 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=23 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 2, 7: 2}, Find(3)=0, Find(4)=4, Add (3,4)=25 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(1)=0, Find(5)=0, Add (1,5)=27 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(6)=0, Add (2,6)=31 Failed, w=100\",\"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)=32 Failed, w=100\",\"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)=33 Failed, w=100\",\"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)=40 Failed, w=100\",\"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)=44 Failed, w=100\",\"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)=51 Failed, w=100\",\"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)=53 Failed, w=100\",\"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)=57 Failed, w=100\",\"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)=62 Failed, w=100\",\"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)=71 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=74 Failed, w=100\",\"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)=75 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=100\",\"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)=95 Failed, w=100\",\"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)=95 Failed, w=100\",\"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)=97 Failed, w=100\",\"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)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,2,70],[0,3,5],[0,5,43],[1,2,3],[1,4,94],[1,5,70],[2,3,66],[2,4,20],[2,5,24],[3,4,53],[3,5,78],[4,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,70],[0,3,5],[0,5,43],[1,2,3],[1,4,94],[1,5,70],[2,3,66],[2,4,20],[2,5,24],[3,4,53],[3,5,78],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,70],[0,3,5],[0,5,43],[1,2,3],[1,4,94],[1,5,70],[2,3,66],[2,4,20],[2,5,24],[3,4,53],[3,5,78],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (0,5)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,70],[0,3,5],[0,5,43],[1,2,3],[1,4,94],[1,5,70],[2,3,66],[2,4,20],[2,5,24],[3,4,53],[3,5,78],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,3)=5, w=8\",\"Add (2,4)=20, w=28\",\"Add (2,5)=24, w=52\",\"Add (0,5)=43, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,70],[0,3,5],[0,5,43],[1,2,3],[1,4,94],[1,5,70],[2,3,66],[2,4,20],[2,5,24],[3,4,53],[3,5,78],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,3)=5 Succeeded, w=8\",\"Add (2,4)=20 Succeeded, w=28\",\"Add (2,5)=24 Succeeded, w=52\",\"Add (0,5)=43 Succeeded, w=95\",\"Add (3,4)=53 Failed, w=95\",\"Add (2,3)=66 Failed, w=95\",\"Add (0,2)=70 Failed, w=95\",\"Add (1,5)=70 Failed, w=95\",\"Add (0,1)=72 Failed, w=95\",\"Add (4,5)=76 Failed, w=95\",\"Add (3,5)=78 Failed, w=95\",\"Add (1,4)=94 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,70],[0,3,5],[0,5,43],[1,2,3],[1,4,94],[1,5,70],[2,3,66],[2,4,20],[2,5,24],[3,4,53],[3,5,78],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,3)=5,(2,4)=20,(2,5)=24,(0,5)=43,(3,4)=53,(2,3)=66,(0,2)=70,(1,5)=70,(0,1)=72,(4,5)=76,(3,5)=78,(1,4)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=8\",\"Find(2)=1, Find(4)=4, Add (2,4)=20 Succeeded, w=28\",\"Find(2)=1, Find(5)=5, Add (2,5)=24 Succeeded, w=52\",\"Find(0)=0, Find(5)=1, Add (0,5)=43 Succeeded, w=95\",\"Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=95\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=95\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=95\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=95\",\"Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=95\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=95\",\"Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,70],[0,3,5],[0,5,43],[1,2,3],[1,4,94],[1,5,70],[2,3,66],[2,4,20],[2,5,24],[3,4,53],[3,5,78],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,3)=5,(2,4)=20,(2,5)=24,(0,5)=43,(3,4)=53,(2,3)=66,(0,2)=70,(1,5)=70,(0,1)=72,(4,5)=76,(3,5)=78,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(2)=1, Find(4)=4, Add (2,4)=20 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=24 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=43 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1}, Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,11],[0,3,24],[0,4,14],[1,2,81],[1,3,12],[1,4,17],[2,3,61],[2,4,82],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,24],[0,4,14],[1,2,81],[1,3,12],[1,4,17],[2,3,61],[2,4,82],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,24],[0,4,14],[1,2,81],[1,3,12],[1,4,17],[2,3,61],[2,4,82],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,24],[0,4,14],[1,2,81],[1,3,12],[1,4,17],[2,3,61],[2,4,82],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (1,3)=12, w=23\",\"Add (0,4)=14, w=37\",\"Add (1,4)=17, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,24],[0,4,14],[1,2,81],[1,3,12],[1,4,17],[2,3,61],[2,4,82],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (1,3)=12 Succeeded, w=23\",\"Add (0,4)=14 Succeeded, w=37\",\"Add (1,4)=17 Succeeded, w=54\",\"Add (0,3)=24 Failed, w=54\",\"Add (2,3)=61 Failed, w=54\",\"Add (1,2)=81 Failed, w=54\",\"Add (3,4)=81 Failed, w=54\",\"Add (2,4)=82 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,24],[0,4,14],[1,2,81],[1,3,12],[1,4,17],[2,3,61],[2,4,82],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(1,3)=12,(0,4)=14,(1,4)=17,(0,3)=24,(2,3)=61,(1,2)=81,(3,4)=81,(2,4)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=23\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=37\",\"Find(1)=1, Find(4)=0, Add (1,4)=17 Succeeded, w=54\",\"Find(0)=1, Find(3)=1, Add (0,3)=24 Failed, w=54\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=54\",\"Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=54\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=54\",\"Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,11],[0,3,24],[0,4,14],[1,2,81],[1,3,12],[1,4,17],[2,3,61],[2,4,82],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(1,3)=12,(0,4)=14,(1,4)=17,(0,3)=24,(2,3)=61,(1,2)=81,(3,4)=81,(2,4)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=17 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(0)=1, Find(3)=1, Add (0,3)=24 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,2,60],[0,3,15],[0,4,83],[0,6,23],[1,3,69],[1,4,4],[1,5,98],[1,6,60],[2,4,35],[2,5,100],[2,6,63],[3,4,76],[3,5,89],[3,6,83],[5,6,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,60],[0,3,15],[0,4,83],[0,6,23],[1,3,69],[1,4,4],[1,5,98],[1,6,60],[2,4,35],[2,5,100],[2,6,63],[3,4,76],[3,5,89],[3,6,83],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,60],[0,3,15],[0,4,83],[0,6,23],[1,3,69],[1,4,4],[1,5,98],[1,6,60],[2,4,35],[2,5,100],[2,6,63],[3,4,76],[3,5,89],[3,6,83],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (5,6)\",\"Add (0,2)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,60],[0,3,15],[0,4,83],[0,6,23],[1,3,69],[1,4,4],[1,5,98],[1,6,60],[2,4,35],[2,5,100],[2,6,63],[3,4,76],[3,5,89],[3,6,83],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (0,3)=15, w=19\",\"Add (0,6)=23, w=42\",\"Add (2,4)=35, w=77\",\"Add (5,6)=40, w=117\",\"Add (0,2)=60, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,60],[0,3,15],[0,4,83],[0,6,23],[1,3,69],[1,4,4],[1,5,98],[1,6,60],[2,4,35],[2,5,100],[2,6,63],[3,4,76],[3,5,89],[3,6,83],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (0,3)=15 Succeeded, w=19\",\"Add (0,6)=23 Succeeded, w=42\",\"Add (2,4)=35 Succeeded, w=77\",\"Add (5,6)=40 Succeeded, w=117\",\"Add (0,2)=60 Succeeded, w=177\",\"Add (1,6)=60 Failed, w=177\",\"Add (2,6)=63 Failed, w=177\",\"Add (1,3)=69 Failed, w=177\",\"Add (3,4)=76 Failed, w=177\",\"Add (0,1)=79 Failed, w=177\",\"Add (0,4)=83 Failed, w=177\",\"Add (3,6)=83 Failed, w=177\",\"Add (3,5)=89 Failed, w=177\",\"Add (1,5)=98 Failed, w=177\",\"Add (2,5)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,60],[0,3,15],[0,4,83],[0,6,23],[1,3,69],[1,4,4],[1,5,98],[1,6,60],[2,4,35],[2,5,100],[2,6,63],[3,4,76],[3,5,89],[3,6,83],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,3)=15,(0,6)=23,(2,4)=35,(5,6)=40,(0,2)=60,(1,6)=60,(2,6)=63,(1,3)=69,(3,4)=76,(0,1)=79,(0,4)=83,(3,6)=83,(3,5)=89,(1,5)=98,(2,5)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=19\",\"Find(0)=0, Find(6)=6, Add (0,6)=23 Succeeded, w=42\",\"Find(2)=2, Find(4)=1, Add (2,4)=35 Succeeded, w=77\",\"Find(5)=5, Find(6)=0, Add (5,6)=40 Succeeded, w=117\",\"Find(0)=0, Find(2)=1, Add (0,2)=60 Succeeded, w=177\",\"Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=177\",\"Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=177\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=177\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=177\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=177\",\"Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=177\",\"Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=177\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=177\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=177\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,60],[0,3,15],[0,4,83],[0,6,23],[1,3,69],[1,4,4],[1,5,98],[1,6,60],[2,4,35],[2,5,100],[2,6,63],[3,4,76],[3,5,89],[3,6,83],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,3)=15,(0,6)=23,(2,4)=35,(5,6)=40,(0,2)=60,(1,6)=60,(2,6)=63,(1,3)=69,(3,4)=76,(0,1)=79,(0,4)=83,(3,6)=83,(3,5)=89,(1,5)=98,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=23 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 0}, Find(2)=2, Find(4)=1, Add (2,4)=35 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=40 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(2)=1, Add (0,2)=60 Succeeded, w=177\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=60 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=177\",\"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=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,97],[0,5,28],[0,6,53],[0,7,38],[1,3,31],[1,4,72],[1,5,50],[1,6,30],[1,7,64],[2,3,89],[2,4,59],[2,5,60],[2,6,93],[2,7,34],[3,5,16],[3,6,81],[4,5,63],[4,6,57],[4,7,67],[5,6,64],[6,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,97],[0,5,28],[0,6,53],[0,7,38],[1,3,31],[1,4,72],[1,5,50],[1,6,30],[1,7,64],[2,3,89],[2,4,59],[2,5,60],[2,6,93],[2,7,34],[3,5,16],[3,6,81],[4,5,63],[4,6,57],[4,7,67],[5,6,64],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,97],[0,5,28],[0,6,53],[0,7,38],[1,3,31],[1,4,72],[1,5,50],[1,6,30],[1,7,64],[2,3,89],[2,4,59],[2,5,60],[2,6,93],[2,7,34],[3,5,16],[3,6,81],[4,5,63],[4,6,57],[4,7,67],[5,6,64],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,5)\",\"Add (1,6)\",\"Add (1,3)\",\"Add (2,7)\",\"Add (0,7)\",\"Add (4,6)\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,97],[0,5,28],[0,6,53],[0,7,38],[1,3,31],[1,4,72],[1,5,50],[1,6,30],[1,7,64],[2,3,89],[2,4,59],[2,5,60],[2,6,93],[2,7,34],[3,5,16],[3,6,81],[4,5,63],[4,6,57],[4,7,67],[5,6,64],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16, w=16\",\"Add (0,5)=28, w=44\",\"Add (1,6)=30, w=74\",\"Add (1,3)=31, w=105\",\"Add (2,7)=34, w=139\",\"Add (0,7)=38, w=177\",\"Add (4,6)=57, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,97],[0,5,28],[0,6,53],[0,7,38],[1,3,31],[1,4,72],[1,5,50],[1,6,30],[1,7,64],[2,3,89],[2,4,59],[2,5,60],[2,6,93],[2,7,34],[3,5,16],[3,6,81],[4,5,63],[4,6,57],[4,7,67],[5,6,64],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16 Succeeded, w=16\",\"Add (0,5)=28 Succeeded, w=44\",\"Add (1,6)=30 Succeeded, w=74\",\"Add (1,3)=31 Succeeded, w=105\",\"Add (2,7)=34 Succeeded, w=139\",\"Add (0,7)=38 Succeeded, w=177\",\"Add (1,5)=50 Failed, w=177\",\"Add (0,6)=53 Failed, w=177\",\"Add (4,6)=57 Succeeded, w=234\",\"Add (2,4)=59 Failed, w=234\",\"Add (2,5)=60 Failed, w=234\",\"Add (4,5)=63 Failed, w=234\",\"Add (1,7)=64 Failed, w=234\",\"Add (5,6)=64 Failed, w=234\",\"Add (4,7)=67 Failed, w=234\",\"Add (1,4)=72 Failed, w=234\",\"Add (6,7)=77 Failed, w=234\",\"Add (3,6)=81 Failed, w=234\",\"Add (2,3)=89 Failed, w=234\",\"Add (2,6)=93 Failed, w=234\",\"Add (0,4)=97 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,97],[0,5,28],[0,6,53],[0,7,38],[1,3,31],[1,4,72],[1,5,50],[1,6,30],[1,7,64],[2,3,89],[2,4,59],[2,5,60],[2,6,93],[2,7,34],[3,5,16],[3,6,81],[4,5,63],[4,6,57],[4,7,67],[5,6,64],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(0,5)=28,(1,6)=30,(1,3)=31,(2,7)=34,(0,7)=38,(1,5)=50,(0,6)=53,(4,6)=57,(2,4)=59,(2,5)=60,(4,5)=63,(1,7)=64,(5,6)=64,(4,7)=67,(1,4)=72,(6,7)=77,(3,6)=81,(2,3)=89,(2,6)=93,(0,4)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=16\",\"Find(0)=0, Find(5)=3, Add (0,5)=28 Succeeded, w=44\",\"Find(1)=1, Find(6)=6, Add (1,6)=30 Succeeded, w=74\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=105\",\"Find(2)=2, Find(7)=7, Add (2,7)=34 Succeeded, w=139\",\"Find(0)=1, Find(7)=2, Add (0,7)=38 Succeeded, w=177\",\"Find(1)=1, Find(5)=1, Add (1,5)=50 Failed, w=177\",\"Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=177\",\"Find(4)=4, Find(6)=1, Add (4,6)=57 Succeeded, w=234\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=234\",\"Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=234\",\"Find(4)=1, Find(5)=1, Add (4,5)=63 Failed, w=234\",\"Find(1)=1, Find(7)=1, Add (1,7)=64 Failed, w=234\",\"Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=234\",\"Find(4)=1, Find(7)=1, Add (4,7)=67 Failed, w=234\",\"Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=234\",\"Find(6)=1, Find(7)=1, Add (6,7)=77 Failed, w=234\",\"Find(3)=1, Find(6)=1, Add (3,6)=81 Failed, w=234\",\"Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=234\",\"Find(2)=1, Find(6)=1, Add (2,6)=93 Failed, w=234\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,97],[0,5,28],[0,6,53],[0,7,38],[1,3,31],[1,4,72],[1,5,50],[1,6,30],[1,7,64],[2,3,89],[2,4,59],[2,5,60],[2,6,93],[2,7,34],[3,5,16],[3,6,81],[4,5,63],[4,6,57],[4,7,67],[5,6,64],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(0,5)=28,(1,6)=30,(1,3)=31,(2,7)=34,(0,7)=38,(1,5)=50,(0,6)=53,(4,6)=57,(2,4)=59,(2,5)=60,(4,5)=63,(1,7)=64,(5,6)=64,(4,7)=67,(1,4)=72,(6,7)=77,(3,6)=81,(2,3)=89,(2,6)=93,(0,4)=97]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(5)=3, Add (0,5)=28 Succeeded, w=44\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=30 Succeeded, w=74\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 4, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=105\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 4, 5: 3, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=34 Succeeded, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 1, 7: 2}, Find(0)=1, Find(7)=2, Add (0,7)=38 Succeeded, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 2}, Find(1)=1, Find(5)=1, Add (1,5)=50 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(4)=4, Find(6)=1, Add (4,6)=57 Succeeded, w=234\",\"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)=59 Failed, w=234\",\"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)=60 Failed, w=234\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(4)=1, Find(5)=1, Add (4,5)=63 Failed, w=234\",\"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)=64 Failed, w=234\",\"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)=64 Failed, w=234\",\"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)=67 Failed, w=234\",\"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)=72 Failed, w=234\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=77 Failed, w=234\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=81 Failed, w=234\",\"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)=89 Failed, w=234\",\"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)=93 Failed, w=234\",\"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)=97 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,58],[0,2,79],[0,3,56],[0,4,1],[0,5,54],[0,6,22],[1,3,95],[1,4,6],[1,6,55],[2,3,82],[2,4,58],[2,5,20],[2,6,41],[3,5,39],[3,6,53],[4,5,79],[4,6,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,79],[0,3,56],[0,4,1],[0,5,54],[0,6,22],[1,3,95],[1,4,6],[1,6,55],[2,3,82],[2,4,58],[2,5,20],[2,6,41],[3,5,39],[3,6,53],[4,5,79],[4,6,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,79],[0,3,56],[0,4,1],[0,5,54],[0,6,22],[1,3,95],[1,4,6],[1,6,55],[2,3,82],[2,4,58],[2,5,20],[2,6,41],[3,5,39],[3,6,53],[4,5,79],[4,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (2,6)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,79],[0,3,56],[0,4,1],[0,5,54],[0,6,22],[1,3,95],[1,4,6],[1,6,55],[2,3,82],[2,4,58],[2,5,20],[2,6,41],[3,5,39],[3,6,53],[4,5,79],[4,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0, w=0\",\"Add (0,4)=1, w=1\",\"Add (1,4)=6, w=7\",\"Add (2,5)=20, w=27\",\"Add (3,5)=39, w=66\",\"Add (2,6)=41, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,79],[0,3,56],[0,4,1],[0,5,54],[0,6,22],[1,3,95],[1,4,6],[1,6,55],[2,3,82],[2,4,58],[2,5,20],[2,6,41],[3,5,39],[3,6,53],[4,5,79],[4,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0 Succeeded, w=0\",\"Add (0,4)=1 Succeeded, w=1\",\"Add (1,4)=6 Succeeded, w=7\",\"Add (2,5)=20 Succeeded, w=27\",\"Add (0,6)=22 Failed, w=27\",\"Add (3,5)=39 Succeeded, w=66\",\"Add (2,6)=41 Succeeded, w=107\",\"Add (3,6)=53 Failed, w=107\",\"Add (0,5)=54 Failed, w=107\",\"Add (1,6)=55 Failed, w=107\",\"Add (0,3)=56 Failed, w=107\",\"Add (0,1)=58 Failed, w=107\",\"Add (2,4)=58 Failed, w=107\",\"Add (0,2)=79 Failed, w=107\",\"Add (4,5)=79 Failed, w=107\",\"Add (2,3)=82 Failed, w=107\",\"Add (1,3)=95 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,79],[0,3,56],[0,4,1],[0,5,54],[0,6,22],[1,3,95],[1,4,6],[1,6,55],[2,3,82],[2,4,58],[2,5,20],[2,6,41],[3,5,39],[3,6,53],[4,5,79],[4,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(0,4)=1,(1,4)=6,(2,5)=20,(0,6)=22,(3,5)=39,(2,6)=41,(3,6)=53,(0,5)=54,(1,6)=55,(0,3)=56,(0,1)=58,(2,4)=58,(0,2)=79,(4,5)=79,(2,3)=82,(1,3)=95]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=27\",\"Find(0)=4, Find(6)=4, Add (0,6)=22 Failed, w=27\",\"Find(3)=3, Find(5)=2, Add (3,5)=39 Succeeded, w=66\",\"Find(2)=2, Find(6)=4, Add (2,6)=41 Succeeded, w=107\",\"Find(3)=2, Find(6)=2, Add (3,6)=53 Failed, w=107\",\"Find(0)=2, Find(5)=2, Add (0,5)=54 Failed, w=107\",\"Find(1)=2, Find(6)=2, Add (1,6)=55 Failed, w=107\",\"Find(0)=2, Find(3)=2, Add (0,3)=56 Failed, w=107\",\"Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=107\",\"Find(2)=2, Find(4)=2, Add (2,4)=58 Failed, w=107\",\"Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=107\",\"Find(4)=2, Find(5)=2, Add (4,5)=79 Failed, w=107\",\"Find(2)=2, Find(3)=2, Add (2,3)=82 Failed, w=107\",\"Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,79],[0,3,56],[0,4,1],[0,5,54],[0,6,22],[1,3,95],[1,4,6],[1,6,55],[2,3,82],[2,4,58],[2,5,20],[2,6,41],[3,5,39],[3,6,53],[4,5,79],[4,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(0,4)=1,(1,4)=6,(2,5)=20,(0,6)=22,(3,5)=39,(2,6)=41,(3,6)=53,(0,5)=54,(1,6)=55,(0,3)=56,(0,1)=58,(2,4)=58,(0,2)=79,(4,5)=79,(2,3)=82,(1,3)=95]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=7\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=27\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=22 Failed, w=27\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(3)=3, Find(5)=2, Add (3,5)=39 Succeeded, w=66\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(2)=2, Find(6)=4, Add (2,6)=41 Succeeded, w=107\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=53 Failed, w=107\",\"Parent: {0: 2, 1: 4, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=54 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=55 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=56 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=58 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=79 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=82 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
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