graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,61],[0,3,2],[1,2,62],[1,3,27],[2,3,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,61],[0,3,2],[1,2,62],[1,3,27],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,61],[0,3,2],[1,2,62],[1,3,27],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,61],[0,3,2],[1,2,62],[1,3,27],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,3)=27, w=29\",\"Add (2,3)=27, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,61],[0,3,2],[1,2,62],[1,3,27],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,3)=27 Succeeded, w=29\",\"Add (2,3)=27 Succeeded, w=56\",\"Add (0,2)=61 Failed, w=56\",\"Add (1,2)=62 Failed, w=56\",\"Add (0,1)=84 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,61],[0,3,2],[1,2,62],[1,3,27],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=27,(2,3)=27,(0,2)=61,(1,2)=62,(0,1)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=29\",\"Find(2)=2, Find(3)=0, Add (2,3)=27 Succeeded, w=56\",\"Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=56\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=56\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,61],[0,3,2],[1,2,62],[1,3,27],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=27,(2,3)=27,(0,2)=61,(1,2)=62,(0,1)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=27 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,2,91],[0,3,74],[0,4,46],[0,5,93],[1,2,61],[1,3,69],[1,4,82],[1,5,21],[2,3,64],[2,4,67],[2,5,70],[3,4,60],[3,5,82],[4,5,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,91],[0,3,74],[0,4,46],[0,5,93],[1,2,61],[1,3,69],[1,4,82],[1,5,21],[2,3,64],[2,4,67],[2,5,70],[3,4,60],[3,5,82],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,91],[0,3,74],[0,4,46],[0,5,93],[1,2,61],[1,3,69],[1,4,82],[1,5,21],[2,3,64],[2,4,67],[2,5,70],[3,4,60],[3,5,82],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,91],[0,3,74],[0,4,46],[0,5,93],[1,2,61],[1,3,69],[1,4,82],[1,5,21],[2,3,64],[2,4,67],[2,5,70],[3,4,60],[3,5,82],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=21, w=21\",\"Add (4,5)=36, w=57\",\"Add (0,4)=46, w=103\",\"Add (3,4)=60, w=163\",\"Add (1,2)=61, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,91],[0,3,74],[0,4,46],[0,5,93],[1,2,61],[1,3,69],[1,4,82],[1,5,21],[2,3,64],[2,4,67],[2,5,70],[3,4,60],[3,5,82],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=21 Succeeded, w=21\",\"Add (4,5)=36 Succeeded, w=57\",\"Add (0,4)=46 Succeeded, w=103\",\"Add (3,4)=60 Succeeded, w=163\",\"Add (1,2)=61 Succeeded, w=224\",\"Add (2,3)=64 Failed, w=224\",\"Add (2,4)=67 Failed, w=224\",\"Add (1,3)=69 Failed, w=224\",\"Add (2,5)=70 Failed, w=224\",\"Add (0,3)=74 Failed, w=224\",\"Add (0,1)=75 Failed, w=224\",\"Add (1,4)=82 Failed, w=224\",\"Add (3,5)=82 Failed, w=224\",\"Add (0,2)=91 Failed, w=224\",\"Add (0,5)=93 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,91],[0,3,74],[0,4,46],[0,5,93],[1,2,61],[1,3,69],[1,4,82],[1,5,21],[2,3,64],[2,4,67],[2,5,70],[3,4,60],[3,5,82],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=21,(4,5)=36,(0,4)=46,(3,4)=60,(1,2)=61,(2,3)=64,(2,4)=67,(1,3)=69,(2,5)=70,(0,3)=74,(0,1)=75,(1,4)=82,(3,5)=82,(0,2)=91,(0,5)=93]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=21\",\"Find(4)=4, Find(5)=1, Add (4,5)=36 Succeeded, w=57\",\"Find(0)=0, Find(4)=1, Add (0,4)=46 Succeeded, w=103\",\"Find(3)=3, Find(4)=1, Add (3,4)=60 Succeeded, w=163\",\"Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=224\",\"Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=224\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=224\",\"Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=224\",\"Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=224\",\"Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=224\",\"Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=224\",\"Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=224\",\"Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=224\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=224\",\"Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,91],[0,3,74],[0,4,46],[0,5,93],[1,2,61],[1,3,69],[1,4,82],[1,5,21],[2,3,64],[2,4,67],[2,5,70],[3,4,60],[3,5,82],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=21,(4,5)=36,(0,4)=46,(3,4)=60,(1,2)=61,(2,3)=64,(2,4)=67,(1,3)=69,(2,5)=70,(0,3)=74,(0,1)=75,(1,4)=82,(3,5)=82,(0,2)=91,(0,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=36 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=46 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=60 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=224\",\"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=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,57],[0,2,2],[0,3,93],[0,4,99],[0,5,65],[0,6,0],[1,2,39],[1,3,44],[1,4,42],[1,5,86],[1,6,11],[2,3,31],[2,4,21],[2,5,18],[3,4,7],[3,5,99],[3,6,43],[4,5,57],[4,6,23],[5,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,2],[0,3,93],[0,4,99],[0,5,65],[0,6,0],[1,2,39],[1,3,44],[1,4,42],[1,5,86],[1,6,11],[2,3,31],[2,4,21],[2,5,18],[3,4,7],[3,5,99],[3,6,43],[4,5,57],[4,6,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,2],[0,3,93],[0,4,99],[0,5,65],[0,6,0],[1,2,39],[1,3,44],[1,4,42],[1,5,86],[1,6,11],[2,3,31],[2,4,21],[2,5,18],[3,4,7],[3,5,99],[3,6,43],[4,5,57],[4,6,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (2,4)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,2],[0,3,93],[0,4,99],[0,5,65],[0,6,0],[1,2,39],[1,3,44],[1,4,42],[1,5,86],[1,6,11],[2,3,31],[2,4,21],[2,5,18],[3,4,7],[3,5,99],[3,6,43],[4,5,57],[4,6,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (0,2)=2, w=2\",\"Add (3,4)=7, w=9\",\"Add (1,6)=11, w=20\",\"Add (2,5)=18, w=38\",\"Add (2,4)=21, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,2],[0,3,93],[0,4,99],[0,5,65],[0,6,0],[1,2,39],[1,3,44],[1,4,42],[1,5,86],[1,6,11],[2,3,31],[2,4,21],[2,5,18],[3,4,7],[3,5,99],[3,6,43],[4,5,57],[4,6,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (0,2)=2 Succeeded, w=2\",\"Add (3,4)=7 Succeeded, w=9\",\"Add (1,6)=11 Succeeded, w=20\",\"Add (2,5)=18 Succeeded, w=38\",\"Add (2,4)=21 Succeeded, w=59\",\"Add (4,6)=23 Failed, w=59\",\"Add (2,3)=31 Failed, w=59\",\"Add (1,2)=39 Failed, w=59\",\"Add (1,4)=42 Failed, w=59\",\"Add (3,6)=43 Failed, w=59\",\"Add (1,3)=44 Failed, w=59\",\"Add (0,1)=57 Failed, w=59\",\"Add (4,5)=57 Failed, w=59\",\"Add (5,6)=62 Failed, w=59\",\"Add (0,5)=65 Failed, w=59\",\"Add (1,5)=86 Failed, w=59\",\"Add (0,3)=93 Failed, w=59\",\"Add (0,4)=99 Failed, w=59\",\"Add (3,5)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,2],[0,3,93],[0,4,99],[0,5,65],[0,6,0],[1,2,39],[1,3,44],[1,4,42],[1,5,86],[1,6,11],[2,3,31],[2,4,21],[2,5,18],[3,4,7],[3,5,99],[3,6,43],[4,5,57],[4,6,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(0,2)=2,(3,4)=7,(1,6)=11,(2,5)=18,(2,4)=21,(4,6)=23,(2,3)=31,(1,2)=39,(1,4)=42,(3,6)=43,(1,3)=44,(0,1)=57,(4,5)=57,(5,6)=62,(0,5)=65,(1,5)=86,(0,3)=93,(0,4)=99,(3,5)=99]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=9\",\"Find(1)=1, Find(6)=0, Add (1,6)=11 Succeeded, w=20\",\"Find(2)=0, Find(5)=5, Add (2,5)=18 Succeeded, w=38\",\"Find(2)=0, Find(4)=3, Add (2,4)=21 Succeeded, w=59\",\"Find(4)=0, Find(6)=0, Add (4,6)=23 Failed, w=59\",\"Find(2)=0, Find(3)=0, Add (2,3)=31 Failed, w=59\",\"Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=59\",\"Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=59\",\"Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=59\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=59\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=59\",\"Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=59\",\"Find(5)=0, Find(6)=0, Add (5,6)=62 Failed, w=59\",\"Find(0)=0, Find(5)=0, Add (0,5)=65 Failed, w=59\",\"Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=59\",\"Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=59\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=59\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,2],[0,3,93],[0,4,99],[0,5,65],[0,6,0],[1,2,39],[1,3,44],[1,4,42],[1,5,86],[1,6,11],[2,3,31],[2,4,21],[2,5,18],[3,4,7],[3,5,99],[3,6,43],[4,5,57],[4,6,23],[5,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(0,2)=2,(3,4)=7,(1,6)=11,(2,5)=18,(2,4)=21,(4,6)=23,(2,3)=31,(1,2)=39,(1,4)=42,(3,6)=43,(1,3)=44,(0,1)=57,(4,5)=57,(5,6)=62,(0,5)=65,(1,5)=86,(0,3)=93,(0,4)=99,(3,5)=99]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=18 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(2)=0, Find(4)=3, Add (2,4)=21 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=23 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=31 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=62 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=65 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,64],[0,2,31],[0,3,27],[0,4,30],[0,5,88],[0,6,85],[1,2,63],[1,5,3],[2,3,4],[2,6,71],[3,6,66],[4,5,48],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,31],[0,3,27],[0,4,30],[0,5,88],[0,6,85],[1,2,63],[1,5,3],[2,3,4],[2,6,71],[3,6,66],[4,5,48],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,31],[0,3,27],[0,4,30],[0,5,88],[0,6,85],[1,2,63],[1,5,3],[2,3,4],[2,6,71],[3,6,66],[4,5,48],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,31],[0,3,27],[0,4,30],[0,5,88],[0,6,85],[1,2,63],[1,5,3],[2,3,4],[2,6,71],[3,6,66],[4,5,48],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (2,3)=4, w=7\",\"Add (0,3)=27, w=34\",\"Add (0,4)=30, w=64\",\"Add (4,5)=48, w=112\",\"Add (3,6)=66, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,31],[0,3,27],[0,4,30],[0,5,88],[0,6,85],[1,2,63],[1,5,3],[2,3,4],[2,6,71],[3,6,66],[4,5,48],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (2,3)=4 Succeeded, w=7\",\"Add (0,3)=27 Succeeded, w=34\",\"Add (0,4)=30 Succeeded, w=64\",\"Add (0,2)=31 Failed, w=64\",\"Add (4,5)=48 Succeeded, w=112\",\"Add (1,2)=63 Failed, w=112\",\"Add (0,1)=64 Failed, w=112\",\"Add (3,6)=66 Succeeded, w=178\",\"Add (2,6)=71 Failed, w=178\",\"Add (0,6)=85 Failed, w=178\",\"Add (5,6)=85 Failed, w=178\",\"Add (0,5)=88 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,31],[0,3,27],[0,4,30],[0,5,88],[0,6,85],[1,2,63],[1,5,3],[2,3,4],[2,6,71],[3,6,66],[4,5,48],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(2,3)=4,(0,3)=27,(0,4)=30,(0,2)=31,(4,5)=48,(1,2)=63,(0,1)=64,(3,6)=66,(2,6)=71,(0,6)=85,(5,6)=85,(0,5)=88]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=7\",\"Find(0)=0, Find(3)=2, Add (0,3)=27 Succeeded, w=34\",\"Find(0)=2, Find(4)=4, Add (0,4)=30 Succeeded, w=64\",\"Find(0)=2, Find(2)=2, Add (0,2)=31 Failed, w=64\",\"Find(4)=2, Find(5)=1, Add (4,5)=48 Succeeded, w=112\",\"Find(1)=2, Find(2)=2, Add (1,2)=63 Failed, w=112\",\"Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=112\",\"Find(3)=2, Find(6)=6, Add (3,6)=66 Succeeded, w=178\",\"Find(2)=2, Find(6)=2, Add (2,6)=71 Failed, w=178\",\"Find(0)=2, Find(6)=2, Add (0,6)=85 Failed, w=178\",\"Find(5)=2, Find(6)=2, Add (5,6)=85 Failed, w=178\",\"Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,31],[0,3,27],[0,4,30],[0,5,88],[0,6,85],[1,2,63],[1,5,3],[2,3,4],[2,6,71],[3,6,66],[4,5,48],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(2,3)=4,(0,3)=27,(0,4)=30,(0,2)=31,(4,5)=48,(1,2)=63,(0,1)=64,(3,6)=66,(2,6)=71,(0,6)=85,(5,6)=85,(0,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=27 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6}, Find(0)=2, Find(4)=4, Add (0,4)=30 Succeeded, w=64\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6}, Find(0)=2, Find(2)=2, Add (0,2)=31 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6}, Find(4)=2, Find(5)=1, Add (4,5)=48 Succeeded, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6}, Find(1)=2, Find(2)=2, Add (1,2)=63 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6}, Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=66 Succeeded, w=178\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=71 Failed, w=178\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=85 Failed, w=178\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=85 Failed, w=178\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,85],[0,3,17],[0,4,3],[1,4,24],[2,3,32],[2,4,10],[3,4,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,85],[0,3,17],[0,4,3],[1,4,24],[2,3,32],[2,4,10],[3,4,20]]}",
"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\":[[0,1,89],[0,2,85],[0,3,17],[0,4,3],[1,4,24],[2,3,32],[2,4,10],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (0,3)\",\"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\":[[0,1,89],[0,2,85],[0,3,17],[0,4,3],[1,4,24],[2,3,32],[2,4,10],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (2,4)=10, w=13\",\"Add (0,3)=17, w=30\",\"Add (1,4)=24, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,85],[0,3,17],[0,4,3],[1,4,24],[2,3,32],[2,4,10],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (2,4)=10 Succeeded, w=13\",\"Add (0,3)=17 Succeeded, w=30\",\"Add (3,4)=20 Failed, w=30\",\"Add (1,4)=24 Succeeded, w=54\",\"Add (2,3)=32 Failed, w=54\",\"Add (0,2)=85 Failed, w=54\",\"Add (0,1)=89 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\":[[0,1,89],[0,2,85],[0,3,17],[0,4,3],[1,4,24],[2,3,32],[2,4,10],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(2,4)=10,(0,3)=17,(3,4)=20,(1,4)=24,(2,3)=32,(0,2)=85,(0,1)=89]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=0, Add (2,4)=10 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=30\",\"Find(3)=0, Find(4)=0, Add (3,4)=20 Failed, w=30\",\"Find(1)=1, Find(4)=0, Add (1,4)=24 Succeeded, w=54\",\"Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=54\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=54\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 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\":[[0,1,89],[0,2,85],[0,3,17],[0,4,3],[1,4,24],[2,3,32],[2,4,10],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(2,4)=10,(0,3)=17,(3,4)=20,(1,4)=24,(2,3)=32,(0,2)=85,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=20 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=24 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,2,83],[0,3,93],[0,4,28],[0,5,33],[0,6,58],[1,2,50],[1,3,52],[1,4,94],[1,5,25],[1,7,45],[2,3,3],[2,4,20],[2,5,52],[2,6,89],[2,7,40],[3,4,15],[3,5,52],[3,7,92],[5,6,57],[5,7,95],[6,7,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,83],[0,3,93],[0,4,28],[0,5,33],[0,6,58],[1,2,50],[1,3,52],[1,4,94],[1,5,25],[1,7,45],[2,3,3],[2,4,20],[2,5,52],[2,6,89],[2,7,40],[3,4,15],[3,5,52],[3,7,92],[5,6,57],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,83],[0,3,93],[0,4,28],[0,5,33],[0,6,58],[1,2,50],[1,3,52],[1,4,94],[1,5,25],[1,7,45],[2,3,3],[2,4,20],[2,5,52],[2,6,89],[2,7,40],[3,4,15],[3,5,52],[3,7,92],[5,6,57],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (2,7)\",\"Add (6,7)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,83],[0,3,93],[0,4,28],[0,5,33],[0,6,58],[1,2,50],[1,3,52],[1,4,94],[1,5,25],[1,7,45],[2,3,3],[2,4,20],[2,5,52],[2,6,89],[2,7,40],[3,4,15],[3,5,52],[3,7,92],[5,6,57],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (3,4)=15, w=18\",\"Add (1,5)=25, w=43\",\"Add (0,4)=28, w=71\",\"Add (0,5)=33, w=104\",\"Add (2,7)=40, w=144\",\"Add (6,7)=48, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,83],[0,3,93],[0,4,28],[0,5,33],[0,6,58],[1,2,50],[1,3,52],[1,4,94],[1,5,25],[1,7,45],[2,3,3],[2,4,20],[2,5,52],[2,6,89],[2,7,40],[3,4,15],[3,5,52],[3,7,92],[5,6,57],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (3,4)=15 Succeeded, w=18\",\"Add (2,4)=20 Failed, w=18\",\"Add (1,5)=25 Succeeded, w=43\",\"Add (0,4)=28 Succeeded, w=71\",\"Add (0,5)=33 Succeeded, w=104\",\"Add (2,7)=40 Succeeded, w=144\",\"Add (0,1)=41 Failed, w=144\",\"Add (1,7)=45 Failed, w=144\",\"Add (6,7)=48 Succeeded, w=192\",\"Add (1,2)=50 Failed, w=192\",\"Add (1,3)=52 Failed, w=192\",\"Add (2,5)=52 Failed, w=192\",\"Add (3,5)=52 Failed, w=192\",\"Add (5,6)=57 Failed, w=192\",\"Add (0,6)=58 Failed, w=192\",\"Add (0,2)=83 Failed, w=192\",\"Add (2,6)=89 Failed, w=192\",\"Add (3,7)=92 Failed, w=192\",\"Add (0,3)=93 Failed, w=192\",\"Add (1,4)=94 Failed, w=192\",\"Add (5,7)=95 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,83],[0,3,93],[0,4,28],[0,5,33],[0,6,58],[1,2,50],[1,3,52],[1,4,94],[1,5,25],[1,7,45],[2,3,3],[2,4,20],[2,5,52],[2,6,89],[2,7,40],[3,4,15],[3,5,52],[3,7,92],[5,6,57],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(3,4)=15,(2,4)=20,(1,5)=25,(0,4)=28,(0,5)=33,(2,7)=40,(0,1)=41,(1,7)=45,(6,7)=48,(1,2)=50,(1,3)=52,(2,5)=52,(3,5)=52,(5,6)=57,(0,6)=58,(0,2)=83,(2,6)=89,(3,7)=92,(0,3)=93,(1,4)=94,(5,7)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(3)=2, Find(4)=4, Add (3,4)=15 Succeeded, w=18\",\"Find(2)=2, Find(4)=2, Add (2,4)=20 Failed, w=18\",\"Find(1)=1, Find(5)=5, Add (1,5)=25 Succeeded, w=43\",\"Find(0)=0, Find(4)=2, Add (0,4)=28 Succeeded, w=71\",\"Find(0)=2, Find(5)=1, Add (0,5)=33 Succeeded, w=104\",\"Find(2)=2, Find(7)=7, Add (2,7)=40 Succeeded, w=144\",\"Find(0)=2, Find(1)=2, Add (0,1)=41 Failed, w=144\",\"Find(1)=2, Find(7)=2, Add (1,7)=45 Failed, w=144\",\"Find(6)=6, Find(7)=2, Add (6,7)=48 Succeeded, w=192\",\"Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=192\",\"Find(1)=2, Find(3)=2, Add (1,3)=52 Failed, w=192\",\"Find(2)=2, Find(5)=2, Add (2,5)=52 Failed, w=192\",\"Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=192\",\"Find(5)=2, Find(6)=2, Add (5,6)=57 Failed, w=192\",\"Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=192\",\"Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=192\",\"Find(2)=2, Find(6)=2, Add (2,6)=89 Failed, w=192\",\"Find(3)=2, Find(7)=2, Add (3,7)=92 Failed, w=192\",\"Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=192\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=192\",\"Find(5)=2, Find(7)=2, Add (5,7)=95 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,83],[0,3,93],[0,4,28],[0,5,33],[0,6,58],[1,2,50],[1,3,52],[1,4,94],[1,5,25],[1,7,45],[2,3,3],[2,4,20],[2,5,52],[2,6,89],[2,7,40],[3,4,15],[3,5,52],[3,7,92],[5,6,57],[5,7,95],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(3,4)=15,(2,4)=20,(1,5)=25,(0,4)=28,(0,5)=33,(2,7)=40,(0,1)=41,(1,7)=45,(6,7)=48,(1,2)=50,(1,3)=52,(2,5)=52,(3,5)=52,(5,6)=57,(0,6)=58,(0,2)=83,(2,6)=89,(3,7)=92,(0,3)=93,(1,4)=94,(5,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 7}, Find(3)=2, Find(4)=4, Add (3,4)=15 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=2, Add (2,4)=20 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=25 Succeeded, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=28 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 7}, Find(0)=2, Find(5)=1, Add (0,5)=33 Succeeded, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=40 Succeeded, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=41 Failed, w=144\",\"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)=45 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=48 Succeeded, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=52 Failed, w=192\",\"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)=52 Failed, w=192\",\"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)=52 Failed, w=192\",\"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)=57 Failed, w=192\",\"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)=58 Failed, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=83 Failed, w=192\",\"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)=89 Failed, w=192\",\"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)=92 Failed, w=192\",\"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)=93 Failed, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=192\",\"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)=95 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,8],[0,2,44],[0,3,62],[1,2,68],[1,3,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,44],[0,3,62],[1,2,68],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,44],[0,3,62],[1,2,68],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,44],[0,3,62],[1,2,68],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,2)=44, w=52\",\"Add (0,3)=62, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,44],[0,3,62],[1,2,68],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,2)=44 Succeeded, w=52\",\"Add (0,3)=62 Succeeded, w=114\",\"Add (1,2)=68 Failed, w=114\",\"Add (1,3)=86 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,44],[0,3,62],[1,2,68],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,2)=44,(0,3)=62,(1,2)=68,(1,3)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=52\",\"Find(0)=0, Find(3)=3, Add (0,3)=62 Succeeded, w=114\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,44],[0,3,62],[1,2,68],[1,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,2)=44,(0,3)=62,(1,2)=68,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=62 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,2,47],[0,3,5],[1,2,1],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,47],[0,3,5],[1,2,1],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":27}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,47],[0,3,5],[1,2,1],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":27}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,47],[0,3,5],[1,2,1],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,3)=5, w=6\",\"Add (2,3)=21, w=27\"],\"Answer\":27}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,47],[0,3,5],[1,2,1],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,3)=5 Succeeded, w=6\",\"Add (2,3)=21 Succeeded, w=27\",\"Add (0,2)=47 Failed, w=27\",\"Add (0,1)=91 Failed, w=27\"],\"Answer\":27}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,47],[0,3,5],[1,2,1],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=5,(2,3)=21,(0,2)=47,(0,1)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=6\",\"Find(2)=1, Find(3)=0, Add (2,3)=21 Succeeded, w=27\",\"Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=27\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=27\"],\"Answer\":27}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,47],[0,3,5],[1,2,1],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=5,(2,3)=21,(0,2)=47,(0,1)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=21 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=27\"],\"Answer\":27}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,14],[0,3,24],[0,4,14],[0,5,64],[0,7,48],[1,2,21],[1,4,60],[1,5,31],[1,6,22],[1,7,62],[2,3,10],[2,4,74],[2,5,8],[2,6,46],[2,7,59],[3,4,20],[3,5,78],[3,6,66],[4,5,67],[4,6,21],[4,7,81],[5,6,90],[5,7,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,24],[0,4,14],[0,5,64],[0,7,48],[1,2,21],[1,4,60],[1,5,31],[1,6,22],[1,7,62],[2,3,10],[2,4,74],[2,5,8],[2,6,46],[2,7,59],[3,4,20],[3,5,78],[3,6,66],[4,5,67],[4,6,21],[4,7,81],[5,6,90],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,24],[0,4,14],[0,5,64],[0,7,48],[1,2,21],[1,4,60],[1,5,31],[1,6,22],[1,7,62],[2,3,10],[2,4,74],[2,5,8],[2,6,46],[2,7,59],[3,4,20],[3,5,78],[3,6,66],[4,5,67],[4,6,21],[4,7,81],[5,6,90],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (5,7)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,24],[0,4,14],[0,5,64],[0,7,48],[1,2,21],[1,4,60],[1,5,31],[1,6,22],[1,7,62],[2,3,10],[2,4,74],[2,5,8],[2,6,46],[2,7,59],[3,4,20],[3,5,78],[3,6,66],[4,5,67],[4,6,21],[4,7,81],[5,6,90],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (2,3)=10, w=18\",\"Add (0,2)=14, w=32\",\"Add (0,4)=14, w=46\",\"Add (1,2)=21, w=67\",\"Add (4,6)=21, w=88\",\"Add (5,7)=26, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,24],[0,4,14],[0,5,64],[0,7,48],[1,2,21],[1,4,60],[1,5,31],[1,6,22],[1,7,62],[2,3,10],[2,4,74],[2,5,8],[2,6,46],[2,7,59],[3,4,20],[3,5,78],[3,6,66],[4,5,67],[4,6,21],[4,7,81],[5,6,90],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (2,3)=10 Succeeded, w=18\",\"Add (0,2)=14 Succeeded, w=32\",\"Add (0,4)=14 Succeeded, w=46\",\"Add (3,4)=20 Failed, w=46\",\"Add (1,2)=21 Succeeded, w=67\",\"Add (4,6)=21 Succeeded, w=88\",\"Add (1,6)=22 Failed, w=88\",\"Add (0,3)=24 Failed, w=88\",\"Add (5,7)=26 Succeeded, w=114\",\"Add (1,5)=31 Failed, w=114\",\"Add (2,6)=46 Failed, w=114\",\"Add (0,7)=48 Failed, w=114\",\"Add (2,7)=59 Failed, w=114\",\"Add (1,4)=60 Failed, w=114\",\"Add (1,7)=62 Failed, w=114\",\"Add (0,5)=64 Failed, w=114\",\"Add (3,6)=66 Failed, w=114\",\"Add (4,5)=67 Failed, w=114\",\"Add (2,4)=74 Failed, w=114\",\"Add (3,5)=78 Failed, w=114\",\"Add (4,7)=81 Failed, w=114\",\"Add (5,6)=90 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,24],[0,4,14],[0,5,64],[0,7,48],[1,2,21],[1,4,60],[1,5,31],[1,6,22],[1,7,62],[2,3,10],[2,4,74],[2,5,8],[2,6,46],[2,7,59],[3,4,20],[3,5,78],[3,6,66],[4,5,67],[4,6,21],[4,7,81],[5,6,90],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(2,3)=10,(0,2)=14,(0,4)=14,(3,4)=20,(1,2)=21,(4,6)=21,(1,6)=22,(0,3)=24,(5,7)=26,(1,5)=31,(2,6)=46,(0,7)=48,(2,7)=59,(1,4)=60,(1,7)=62,(0,5)=64,(3,6)=66,(4,5)=67,(2,4)=74,(3,5)=78,(4,7)=81,(5,6)=90]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=32\",\"Find(0)=2, Find(4)=4, Add (0,4)=14 Succeeded, w=46\",\"Find(3)=2, Find(4)=2, Add (3,4)=20 Failed, w=46\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=67\",\"Find(4)=2, Find(6)=6, Add (4,6)=21 Succeeded, w=88\",\"Find(1)=2, Find(6)=2, Add (1,6)=22 Failed, w=88\",\"Find(0)=2, Find(3)=2, Add (0,3)=24 Failed, w=88\",\"Find(5)=2, Find(7)=7, Add (5,7)=26 Succeeded, w=114\",\"Find(1)=2, Find(5)=2, Add (1,5)=31 Failed, w=114\",\"Find(2)=2, Find(6)=2, Add (2,6)=46 Failed, w=114\",\"Find(0)=2, Find(7)=2, Add (0,7)=48 Failed, w=114\",\"Find(2)=2, Find(7)=2, Add (2,7)=59 Failed, w=114\",\"Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=114\",\"Find(1)=2, Find(7)=2, Add (1,7)=62 Failed, w=114\",\"Find(0)=2, Find(5)=2, Add (0,5)=64 Failed, w=114\",\"Find(3)=2, Find(6)=2, Add (3,6)=66 Failed, w=114\",\"Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=114\",\"Find(2)=2, Find(4)=2, Add (2,4)=74 Failed, w=114\",\"Find(3)=2, Find(5)=2, Add (3,5)=78 Failed, w=114\",\"Find(4)=2, Find(7)=2, Add (4,7)=81 Failed, w=114\",\"Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,14],[0,3,24],[0,4,14],[0,5,64],[0,7,48],[1,2,21],[1,4,60],[1,5,31],[1,6,22],[1,7,62],[2,3,10],[2,4,74],[2,5,8],[2,6,46],[2,7,59],[3,4,20],[3,5,78],[3,6,66],[4,5,67],[4,6,21],[4,7,81],[5,6,90],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(2,3)=10,(0,2)=14,(0,4)=14,(3,4)=20,(1,2)=21,(4,6)=21,(1,6)=22,(0,3)=24,(5,7)=26,(1,5)=31,(2,6)=46,(0,7)=48,(2,7)=59,(1,4)=60,(1,7)=62,(0,5)=64,(3,6)=66,(4,5)=67,(2,4)=74,(3,5)=78,(4,7)=81,(5,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=2, Find(4)=4, Add (0,4)=14 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(4)=2, Add (3,4)=20 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=2, Find(6)=6, Add (4,6)=21 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(1)=2, Find(6)=2, Add (1,6)=22 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(3)=2, Add (0,3)=24 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=26 Succeeded, w=114\",\"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)=31 Failed, w=114\",\"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)=46 Failed, w=114\",\"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)=48 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=59 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=114\",\"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)=62 Failed, w=114\",\"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)=64 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=66 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=114\",\"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)=74 Failed, w=114\",\"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)=78 Failed, w=114\",\"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)=81 Failed, w=114\",\"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)=90 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,85],[0,2,84],[0,3,74],[0,4,95],[0,6,26],[1,2,100],[1,3,3],[1,5,96],[1,6,67],[2,3,100],[2,4,19],[2,5,28],[2,6,12],[3,4,62],[3,5,32],[3,6,16],[4,5,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,84],[0,3,74],[0,4,95],[0,6,26],[1,2,100],[1,3,3],[1,5,96],[1,6,67],[2,3,100],[2,4,19],[2,5,28],[2,6,12],[3,4,62],[3,5,32],[3,6,16],[4,5,24]]}",
"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\":[[0,1,85],[0,2,84],[0,3,74],[0,4,95],[0,6,26],[1,2,100],[1,3,3],[1,5,96],[1,6,67],[2,3,100],[2,4,19],[2,5,28],[2,6,12],[3,4,62],[3,5,32],[3,6,16],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (0,6)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,84],[0,3,74],[0,4,95],[0,6,26],[1,2,100],[1,3,3],[1,5,96],[1,6,67],[2,3,100],[2,4,19],[2,5,28],[2,6,12],[3,4,62],[3,5,32],[3,6,16],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (2,6)=12, w=15\",\"Add (3,6)=16, w=31\",\"Add (2,4)=19, w=50\",\"Add (4,5)=24, w=74\",\"Add (0,6)=26, 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\":[[0,1,85],[0,2,84],[0,3,74],[0,4,95],[0,6,26],[1,2,100],[1,3,3],[1,5,96],[1,6,67],[2,3,100],[2,4,19],[2,5,28],[2,6,12],[3,4,62],[3,5,32],[3,6,16],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (2,6)=12 Succeeded, w=15\",\"Add (3,6)=16 Succeeded, w=31\",\"Add (2,4)=19 Succeeded, w=50\",\"Add (4,5)=24 Succeeded, w=74\",\"Add (0,6)=26 Succeeded, w=100\",\"Add (2,5)=28 Failed, w=100\",\"Add (3,5)=32 Failed, w=100\",\"Add (3,4)=62 Failed, w=100\",\"Add (1,6)=67 Failed, w=100\",\"Add (0,3)=74 Failed, w=100\",\"Add (0,2)=84 Failed, w=100\",\"Add (0,1)=85 Failed, w=100\",\"Add (0,4)=95 Failed, w=100\",\"Add (1,5)=96 Failed, w=100\",\"Add (1,2)=100 Failed, w=100\",\"Add (2,3)=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\":[[0,1,85],[0,2,84],[0,3,74],[0,4,95],[0,6,26],[1,2,100],[1,3,3],[1,5,96],[1,6,67],[2,3,100],[2,4,19],[2,5,28],[2,6,12],[3,4,62],[3,5,32],[3,6,16],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,6)=12,(3,6)=16,(2,4)=19,(4,5)=24,(0,6)=26,(2,5)=28,(3,5)=32,(3,4)=62,(1,6)=67,(0,3)=74,(0,2)=84,(0,1)=85,(0,4)=95,(1,5)=96,(1,2)=100,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=15\",\"Find(3)=1, Find(6)=2, Add (3,6)=16 Succeeded, w=31\",\"Find(2)=1, Find(4)=4, Add (2,4)=19 Succeeded, w=50\",\"Find(4)=1, Find(5)=5, Add (4,5)=24 Succeeded, w=74\",\"Find(0)=0, Find(6)=1, Add (0,6)=26 Succeeded, w=100\",\"Find(2)=1, Find(5)=1, Add (2,5)=28 Failed, w=100\",\"Find(3)=1, Find(5)=1, Add (3,5)=32 Failed, w=100\",\"Find(3)=1, Find(4)=1, Add (3,4)=62 Failed, w=100\",\"Find(1)=1, Find(6)=1, Add (1,6)=67 Failed, w=100\",\"Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=100\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=100\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=100\",\"Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=100\",\"Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=100\",\"Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=100\",\"Find(2)=1, Find(3)=1, Add (2,3)=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\":[[0,1,85],[0,2,84],[0,3,74],[0,4,95],[0,6,26],[1,2,100],[1,3,3],[1,5,96],[1,6,67],[2,3,100],[2,4,19],[2,5,28],[2,6,12],[3,4,62],[3,5,32],[3,6,16],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,6)=12,(3,6)=16,(2,4)=19,(4,5)=24,(0,6)=26,(2,5)=28,(3,5)=32,(3,4)=62,(1,6)=67,(0,3)=74,(0,2)=84,(0,1)=85,(0,4)=95,(1,5)=96,(1,2)=100,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 2}, Find(3)=1, Find(6)=2, Add (3,6)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 2}, Find(2)=1, Find(4)=4, Add (2,4)=19 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(4)=1, Find(5)=5, Add (4,5)=24 Succeeded, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=26 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=28 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=32 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=62 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=67 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,71],[0,2,13],[0,3,49],[0,4,95],[0,5,7],[1,2,66],[1,3,8],[1,5,80],[2,3,1],[2,4,21],[2,5,24],[3,4,65],[3,5,44],[4,5,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,13],[0,3,49],[0,4,95],[0,5,7],[1,2,66],[1,3,8],[1,5,80],[2,3,1],[2,4,21],[2,5,24],[3,4,65],[3,5,44],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,13],[0,3,49],[0,4,95],[0,5,7],[1,2,66],[1,3,8],[1,5,80],[2,3,1],[2,4,21],[2,5,24],[3,4,65],[3,5,44],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,13],[0,3,49],[0,4,95],[0,5,7],[1,2,66],[1,3,8],[1,5,80],[2,3,1],[2,4,21],[2,5,24],[3,4,65],[3,5,44],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (4,5)=6, w=7\",\"Add (0,5)=7, w=14\",\"Add (1,3)=8, w=22\",\"Add (0,2)=13, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,13],[0,3,49],[0,4,95],[0,5,7],[1,2,66],[1,3,8],[1,5,80],[2,3,1],[2,4,21],[2,5,24],[3,4,65],[3,5,44],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (4,5)=6 Succeeded, w=7\",\"Add (0,5)=7 Succeeded, w=14\",\"Add (1,3)=8 Succeeded, w=22\",\"Add (0,2)=13 Succeeded, w=35\",\"Add (2,4)=21 Failed, w=35\",\"Add (2,5)=24 Failed, w=35\",\"Add (3,5)=44 Failed, w=35\",\"Add (0,3)=49 Failed, w=35\",\"Add (3,4)=65 Failed, w=35\",\"Add (1,2)=66 Failed, w=35\",\"Add (0,1)=71 Failed, w=35\",\"Add (1,5)=80 Failed, w=35\",\"Add (0,4)=95 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,13],[0,3,49],[0,4,95],[0,5,7],[1,2,66],[1,3,8],[1,5,80],[2,3,1],[2,4,21],[2,5,24],[3,4,65],[3,5,44],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(4,5)=6,(0,5)=7,(1,3)=8,(0,2)=13,(2,4)=21,(2,5)=24,(3,5)=44,(0,3)=49,(3,4)=65,(1,2)=66,(0,1)=71,(1,5)=80,(0,4)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Find(0)=0, Find(5)=4, Add (0,5)=7 Succeeded, w=14\",\"Find(1)=1, Find(3)=2, Add (1,3)=8 Succeeded, w=22\",\"Find(0)=4, Find(2)=2, Add (0,2)=13 Succeeded, w=35\",\"Find(2)=4, Find(4)=4, Add (2,4)=21 Failed, w=35\",\"Find(2)=4, Find(5)=4, Add (2,5)=24 Failed, w=35\",\"Find(3)=4, Find(5)=4, Add (3,5)=44 Failed, w=35\",\"Find(0)=4, Find(3)=4, Add (0,3)=49 Failed, w=35\",\"Find(3)=4, Find(4)=4, Add (3,4)=65 Failed, w=35\",\"Find(1)=4, Find(2)=4, Add (1,2)=66 Failed, w=35\",\"Find(0)=4, Find(1)=4, Add (0,1)=71 Failed, w=35\",\"Find(1)=4, Find(5)=4, Add (1,5)=80 Failed, w=35\",\"Find(0)=4, Find(4)=4, Add (0,4)=95 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,13],[0,3,49],[0,4,95],[0,5,7],[1,2,66],[1,3,8],[1,5,80],[2,3,1],[2,4,21],[2,5,24],[3,4,65],[3,5,44],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(4,5)=6,(0,5)=7,(1,3)=8,(0,2)=13,(2,4)=21,(2,5)=24,(3,5)=44,(0,3)=49,(3,4)=65,(1,2)=66,(0,1)=71,(1,5)=80,(0,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=7 Succeeded, w=14\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4}, Find(1)=1, Find(3)=2, Add (1,3)=8 Succeeded, w=22\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 2, 4: 4, 5: 4}, Find(0)=4, Find(2)=2, Add (0,2)=13 Succeeded, w=35\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 2, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=21 Failed, w=35\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 2, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=24 Failed, w=35\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=44 Failed, w=35\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=49 Failed, w=35\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=65 Failed, w=35\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=4, Add (1,2)=66 Failed, w=35\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=71 Failed, w=35\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=80 Failed, w=35\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=95 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,12],[0,3,13],[0,4,29],[0,5,32],[0,6,69],[1,2,80],[1,3,83],[1,5,54],[1,6,40],[2,3,23],[2,4,8],[2,5,36],[2,6,16],[3,4,5],[3,5,65],[3,6,73],[4,5,31],[4,6,2],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,12],[0,3,13],[0,4,29],[0,5,32],[0,6,69],[1,2,80],[1,3,83],[1,5,54],[1,6,40],[2,3,23],[2,4,8],[2,5,36],[2,6,16],[3,4,5],[3,5,65],[3,6,73],[4,5,31],[4,6,2],[5,6,41]]}",
"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],\"edges\":[[0,1,61],[0,2,12],[0,3,13],[0,4,29],[0,5,32],[0,6,69],[1,2,80],[1,3,83],[1,5,54],[1,6,40],[2,3,23],[2,4,8],[2,5,36],[2,6,16],[3,4,5],[3,5,65],[3,6,73],[4,5,31],[4,6,2],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (1,6)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,12],[0,3,13],[0,4,29],[0,5,32],[0,6,69],[1,2,80],[1,3,83],[1,5,54],[1,6,40],[2,3,23],[2,4,8],[2,5,36],[2,6,16],[3,4,5],[3,5,65],[3,6,73],[4,5,31],[4,6,2],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2, w=2\",\"Add (3,4)=5, w=7\",\"Add (2,4)=8, w=15\",\"Add (0,2)=12, w=27\",\"Add (4,5)=31, w=58\",\"Add (1,6)=40, 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],\"edges\":[[0,1,61],[0,2,12],[0,3,13],[0,4,29],[0,5,32],[0,6,69],[1,2,80],[1,3,83],[1,5,54],[1,6,40],[2,3,23],[2,4,8],[2,5,36],[2,6,16],[3,4,5],[3,5,65],[3,6,73],[4,5,31],[4,6,2],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2 Succeeded, w=2\",\"Add (3,4)=5 Succeeded, w=7\",\"Add (2,4)=8 Succeeded, w=15\",\"Add (0,2)=12 Succeeded, w=27\",\"Add (0,3)=13 Failed, w=27\",\"Add (2,6)=16 Failed, w=27\",\"Add (2,3)=23 Failed, w=27\",\"Add (0,4)=29 Failed, w=27\",\"Add (4,5)=31 Succeeded, w=58\",\"Add (0,5)=32 Failed, w=58\",\"Add (2,5)=36 Failed, w=58\",\"Add (1,6)=40 Succeeded, w=98\",\"Add (5,6)=41 Failed, w=98\",\"Add (1,5)=54 Failed, w=98\",\"Add (0,1)=61 Failed, w=98\",\"Add (3,5)=65 Failed, w=98\",\"Add (0,6)=69 Failed, w=98\",\"Add (3,6)=73 Failed, w=98\",\"Add (1,2)=80 Failed, w=98\",\"Add (1,3)=83 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],\"edges\":[[0,1,61],[0,2,12],[0,3,13],[0,4,29],[0,5,32],[0,6,69],[1,2,80],[1,3,83],[1,5,54],[1,6,40],[2,3,23],[2,4,8],[2,5,36],[2,6,16],[3,4,5],[3,5,65],[3,6,73],[4,5,31],[4,6,2],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(3,4)=5,(2,4)=8,(0,2)=12,(0,3)=13,(2,6)=16,(2,3)=23,(0,4)=29,(4,5)=31,(0,5)=32,(2,5)=36,(1,6)=40,(5,6)=41,(1,5)=54,(0,1)=61,(3,5)=65,(0,6)=69,(3,6)=73,(1,2)=80,(1,3)=83]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=7\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=15\",\"Find(0)=0, Find(2)=4, Add (0,2)=12 Succeeded, w=27\",\"Find(0)=4, Find(3)=4, Add (0,3)=13 Failed, w=27\",\"Find(2)=4, Find(6)=4, Add (2,6)=16 Failed, w=27\",\"Find(2)=4, Find(3)=4, Add (2,3)=23 Failed, w=27\",\"Find(0)=4, Find(4)=4, Add (0,4)=29 Failed, w=27\",\"Find(4)=4, Find(5)=5, Add (4,5)=31 Succeeded, w=58\",\"Find(0)=4, Find(5)=4, Add (0,5)=32 Failed, w=58\",\"Find(2)=4, Find(5)=4, Add (2,5)=36 Failed, w=58\",\"Find(1)=1, Find(6)=4, Add (1,6)=40 Succeeded, w=98\",\"Find(5)=4, Find(6)=4, Add (5,6)=41 Failed, w=98\",\"Find(1)=4, Find(5)=4, Add (1,5)=54 Failed, w=98\",\"Find(0)=4, Find(1)=4, Add (0,1)=61 Failed, w=98\",\"Find(3)=4, Find(5)=4, Add (3,5)=65 Failed, w=98\",\"Find(0)=4, Find(6)=4, Add (0,6)=69 Failed, w=98\",\"Find(3)=4, Find(6)=4, Add (3,6)=73 Failed, w=98\",\"Find(1)=4, Find(2)=4, Add (1,2)=80 Failed, w=98\",\"Find(1)=4, Find(3)=4, Add (1,3)=83 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],\"edges\":[[0,1,61],[0,2,12],[0,3,13],[0,4,29],[0,5,32],[0,6,69],[1,2,80],[1,3,83],[1,5,54],[1,6,40],[2,3,23],[2,4,8],[2,5,36],[2,6,16],[3,4,5],[3,5,65],[3,6,73],[4,5,31],[4,6,2],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(3,4)=5,(2,4)=8,(0,2)=12,(0,3)=13,(2,6)=16,(2,3)=23,(0,4)=29,(4,5)=31,(0,5)=32,(2,5)=36,(1,6)=40,(5,6)=41,(1,5)=54,(0,1)=61,(3,5)=65,(0,6)=69,(3,6)=73,(1,2)=80,(1,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=15\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(2)=4, Add (0,2)=12 Succeeded, w=27\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=13 Failed, w=27\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=16 Failed, w=27\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=23 Failed, w=27\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=29 Failed, w=27\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=5, Add (4,5)=31 Succeeded, w=58\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=32 Failed, w=58\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=36 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=40 Succeeded, w=98\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=41 Failed, w=98\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=54 Failed, w=98\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=61 Failed, w=98\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=65 Failed, w=98\",\"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=98\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=73 Failed, w=98\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=80 Failed, w=98\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=83 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,2,51],[0,3,67],[1,2,93],[1,3,91],[2,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,51],[0,3,67],[1,2,93],[1,3,91],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,51],[0,3,67],[1,2,93],[1,3,91],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,51],[0,3,67],[1,2,93],[1,3,91],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (0,2)=51, w=62\",\"Add (2,3)=52, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,51],[0,3,67],[1,2,93],[1,3,91],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (0,2)=51 Succeeded, w=62\",\"Add (2,3)=52 Succeeded, w=114\",\"Add (0,3)=67 Failed, w=114\",\"Add (1,3)=91 Failed, w=114\",\"Add (1,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,51],[0,3,67],[1,2,93],[1,3,91],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,2)=51,(2,3)=52,(0,3)=67,(1,3)=91,(1,2)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=62\",\"Find(2)=0, Find(3)=3, Add (2,3)=52 Succeeded, w=114\",\"Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=114\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,51],[0,3,67],[1,2,93],[1,3,91],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,2)=51,(2,3)=52,(0,3)=67,(1,3)=91,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=52 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,73],[0,3,43],[1,2,58],[1,3,30],[1,4,73],[2,3,54],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,43],[1,2,58],[1,3,30],[1,4,73],[2,3,54],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,43],[1,2,58],[1,3,30],[1,4,73],[2,3,54],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,43],[1,2,58],[1,3,30],[1,4,73],[2,3,54],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=30, w=30\",\"Add (0,3)=43, w=73\",\"Add (2,3)=54, w=127\",\"Add (1,4)=73, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,43],[1,2,58],[1,3,30],[1,4,73],[2,3,54],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=30 Succeeded, w=30\",\"Add (0,3)=43 Succeeded, w=73\",\"Add (2,3)=54 Succeeded, w=127\",\"Add (1,2)=58 Failed, w=127\",\"Add (0,1)=73 Failed, w=127\",\"Add (1,4)=73 Succeeded, w=200\",\"Add (3,4)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,43],[1,2,58],[1,3,30],[1,4,73],[2,3,54],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=30,(0,3)=43,(2,3)=54,(1,2)=58,(0,1)=73,(1,4)=73,(3,4)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=30\",\"Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=73\",\"Find(2)=2, Find(3)=1, Add (2,3)=54 Succeeded, w=127\",\"Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=127\",\"Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=127\",\"Find(1)=1, Find(4)=4, Add (1,4)=73 Succeeded, w=200\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,3,43],[1,2,58],[1,3,30],[1,4,73],[2,3,54],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=30,(0,3)=43,(2,3)=54,(1,2)=58,(0,1)=73,(1,4)=73,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=54 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=73 Succeeded, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,34],[0,3,58],[0,4,58],[1,2,48],[1,4,56],[2,3,90],[2,4,21],[3,4,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,34],[0,3,58],[0,4,58],[1,2,48],[1,4,56],[2,3,90],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,34],[0,3,58],[0,4,58],[1,2,48],[1,4,56],[2,3,90],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,34],[0,3,58],[0,4,58],[1,2,48],[1,4,56],[2,3,90],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=21, w=21\",\"Add (0,2)=34, w=55\",\"Add (0,1)=39, w=94\",\"Add (0,3)=58, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,34],[0,3,58],[0,4,58],[1,2,48],[1,4,56],[2,3,90],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=21 Succeeded, w=21\",\"Add (0,2)=34 Succeeded, w=55\",\"Add (0,1)=39 Succeeded, w=94\",\"Add (1,2)=48 Failed, w=94\",\"Add (1,4)=56 Failed, w=94\",\"Add (0,3)=58 Succeeded, w=152\",\"Add (0,4)=58 Failed, w=152\",\"Add (3,4)=77 Failed, w=152\",\"Add (2,3)=90 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,34],[0,3,58],[0,4,58],[1,2,48],[1,4,56],[2,3,90],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=21,(0,2)=34,(0,1)=39,(1,2)=48,(1,4)=56,(0,3)=58,(0,4)=58,(3,4)=77,(2,3)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=55\",\"Find(0)=2, Find(1)=1, Add (0,1)=39 Succeeded, w=94\",\"Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=94\",\"Find(1)=2, Find(4)=2, Add (1,4)=56 Failed, w=94\",\"Find(0)=2, Find(3)=3, Add (0,3)=58 Succeeded, w=152\",\"Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=152\",\"Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=152\",\"Find(2)=2, Find(3)=2, Add (2,3)=90 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,34],[0,3,58],[0,4,58],[1,2,48],[1,4,56],[2,3,90],[2,4,21],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=21,(0,2)=34,(0,1)=39,(1,2)=48,(1,4)=56,(0,3)=58,(0,4)=58,(3,4)=77,(2,3)=90]\",\"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: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=39 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=56 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=58 Succeeded, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=90 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,78],[0,2,81],[0,3,1],[0,5,14],[0,6,0],[0,7,70],[1,4,9],[1,5,54],[1,6,14],[1,7,86],[2,5,81],[2,6,87],[3,5,84],[3,6,42],[3,7,3],[4,5,88],[6,7,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,81],[0,3,1],[0,5,14],[0,6,0],[0,7,70],[1,4,9],[1,5,54],[1,6,14],[1,7,86],[2,5,81],[2,6,87],[3,5,84],[3,6,42],[3,7,3],[4,5,88],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "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],[0,2,81],[0,3,1],[0,5,14],[0,6,0],[0,7,70],[1,4,9],[1,5,54],[1,6,14],[1,7,86],[2,5,81],[2,6,87],[3,5,84],[3,6,42],[3,7,3],[4,5,88],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,3)\",\"Add (3,7)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (1,6)\",\"Add (0,2)\"],\"Answer\":122}",
"role": "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],[0,2,81],[0,3,1],[0,5,14],[0,6,0],[0,7,70],[1,4,9],[1,5,54],[1,6,14],[1,7,86],[2,5,81],[2,6,87],[3,5,84],[3,6,42],[3,7,3],[4,5,88],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (0,3)=1, w=1\",\"Add (3,7)=3, w=4\",\"Add (1,4)=9, w=13\",\"Add (0,5)=14, w=27\",\"Add (1,6)=14, w=41\",\"Add (0,2)=81, w=122\"],\"Answer\":122}",
"role": "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],[0,2,81],[0,3,1],[0,5,14],[0,6,0],[0,7,70],[1,4,9],[1,5,54],[1,6,14],[1,7,86],[2,5,81],[2,6,87],[3,5,84],[3,6,42],[3,7,3],[4,5,88],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (0,3)=1 Succeeded, w=1\",\"Add (3,7)=3 Succeeded, w=4\",\"Add (1,4)=9 Succeeded, w=13\",\"Add (0,5)=14 Succeeded, w=27\",\"Add (1,6)=14 Succeeded, w=41\",\"Add (3,6)=42 Failed, w=41\",\"Add (1,5)=54 Failed, w=41\",\"Add (6,7)=65 Failed, w=41\",\"Add (0,7)=70 Failed, w=41\",\"Add (0,1)=78 Failed, w=41\",\"Add (0,2)=81 Succeeded, w=122\",\"Add (2,5)=81 Failed, w=122\",\"Add (3,5)=84 Failed, w=122\",\"Add (1,7)=86 Failed, w=122\",\"Add (2,6)=87 Failed, w=122\",\"Add (4,5)=88 Failed, w=122\"],\"Answer\":122}",
"role": "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],[0,2,81],[0,3,1],[0,5,14],[0,6,0],[0,7,70],[1,4,9],[1,5,54],[1,6,14],[1,7,86],[2,5,81],[2,6,87],[3,5,84],[3,6,42],[3,7,3],[4,5,88],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(0,3)=1,(3,7)=3,(1,4)=9,(0,5)=14,(1,6)=14,(3,6)=42,(1,5)=54,(6,7)=65,(0,7)=70,(0,1)=78,(0,2)=81,(2,5)=81,(3,5)=84,(1,7)=86,(2,6)=87,(4,5)=88]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(3)=0, Find(7)=7, Add (3,7)=3 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=13\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=27\",\"Find(1)=1, Find(6)=0, Add (1,6)=14 Succeeded, w=41\",\"Find(3)=1, Find(6)=1, Add (3,6)=42 Failed, w=41\",\"Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=41\",\"Find(6)=1, Find(7)=1, Add (6,7)=65 Failed, w=41\",\"Find(0)=1, Find(7)=1, Add (0,7)=70 Failed, w=41\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=41\",\"Find(0)=1, Find(2)=2, Add (0,2)=81 Succeeded, w=122\",\"Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=122\",\"Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=122\",\"Find(1)=1, Find(7)=1, Add (1,7)=86 Failed, w=122\",\"Find(2)=1, Find(6)=1, Add (2,6)=87 Failed, w=122\",\"Find(4)=1, Find(5)=1, Add (4,5)=88 Failed, w=122\"],\"Answer\":122}",
"role": "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],[0,2,81],[0,3,1],[0,5,14],[0,6,0],[0,7,70],[1,4,9],[1,5,54],[1,6,14],[1,7,86],[2,5,81],[2,6,87],[3,5,84],[3,6,42],[3,7,3],[4,5,88],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(0,3)=1,(3,7)=3,(1,4)=9,(0,5)=14,(1,6)=14,(3,6)=42,(1,5)=54,(6,7)=65,(0,7)=70,(0,1)=78,(0,2)=81,(2,5)=81,(3,5)=84,(1,7)=86,(2,6)=87,(4,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 0, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(6)=0, Add (1,6)=14 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 1, 7: 0}, Find(3)=1, Find(6)=1, Add (3,6)=42 Failed, w=41\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(5)=1, Add (1,5)=54 Failed, w=41\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=65 Failed, w=41\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=70 Failed, w=41\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=81 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=122\",\"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)=84 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=86 Failed, w=122\",\"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)=87 Failed, w=122\",\"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)=88 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,2,9],[0,3,35],[0,5,44],[1,2,18],[1,3,53],[1,4,18],[1,5,67],[2,3,67],[2,4,4],[3,4,95],[3,5,14],[4,5,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,9],[0,3,35],[0,5,44],[1,2,18],[1,3,53],[1,4,18],[1,5,67],[2,3,67],[2,4,4],[3,4,95],[3,5,14],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,9],[0,3,35],[0,5,44],[1,2,18],[1,3,53],[1,4,18],[1,5,67],[2,3,67],[2,4,4],[3,4,95],[3,5,14],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (4,5)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,9],[0,3,35],[0,5,44],[1,2,18],[1,3,53],[1,4,18],[1,5,67],[2,3,67],[2,4,4],[3,4,95],[3,5,14],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (0,2)=9, w=13\",\"Add (3,5)=14, w=27\",\"Add (1,2)=18, w=45\",\"Add (4,5)=30, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,9],[0,3,35],[0,5,44],[1,2,18],[1,3,53],[1,4,18],[1,5,67],[2,3,67],[2,4,4],[3,4,95],[3,5,14],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (0,2)=9 Succeeded, w=13\",\"Add (3,5)=14 Succeeded, w=27\",\"Add (1,2)=18 Succeeded, w=45\",\"Add (1,4)=18 Failed, w=45\",\"Add (4,5)=30 Succeeded, w=75\",\"Add (0,3)=35 Failed, w=75\",\"Add (0,5)=44 Failed, w=75\",\"Add (1,3)=53 Failed, w=75\",\"Add (1,5)=67 Failed, w=75\",\"Add (2,3)=67 Failed, w=75\",\"Add (0,1)=68 Failed, w=75\",\"Add (3,4)=95 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,9],[0,3,35],[0,5,44],[1,2,18],[1,3,53],[1,4,18],[1,5,67],[2,3,67],[2,4,4],[3,4,95],[3,5,14],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=9,(3,5)=14,(1,2)=18,(1,4)=18,(4,5)=30,(0,3)=35,(0,5)=44,(1,3)=53,(1,5)=67,(2,3)=67,(0,1)=68,(3,4)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=13\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=45\",\"Find(1)=2, Find(4)=2, Add (1,4)=18 Failed, w=45\",\"Find(4)=2, Find(5)=3, Add (4,5)=30 Succeeded, w=75\",\"Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=75\",\"Find(0)=2, Find(5)=2, Add (0,5)=44 Failed, w=75\",\"Find(1)=2, Find(3)=2, Add (1,3)=53 Failed, w=75\",\"Find(1)=2, Find(5)=2, Add (1,5)=67 Failed, w=75\",\"Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=75\",\"Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=75\",\"Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,9],[0,3,35],[0,5,44],[1,2,18],[1,3,53],[1,4,18],[1,5,67],[2,3,67],[2,4,4],[3,4,95],[3,5,14],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=9,(3,5)=14,(1,2)=18,(1,4)=18,(4,5)=30,(0,3)=35,(0,5)=44,(1,3)=53,(1,5)=67,(2,3)=67,(0,1)=68,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(1)=2, Find(4)=2, Add (1,4)=18 Failed, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(4)=2, Find(5)=3, Add (4,5)=30 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=44 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=53 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=67 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,37],[1,5,5],[2,3,24],[2,4,66],[3,5,90],[4,5,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[1,5,5],[2,3,24],[2,4,66],[3,5,90],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[1,5,5],[2,3,24],[2,4,66],[3,5,90],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[1,5,5],[2,3,24],[2,4,66],[3,5,90],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5, w=5\",\"Add (4,5)=9, w=14\",\"Add (2,3)=24, w=38\",\"Add (0,2)=37, w=75\",\"Add (2,4)=66, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[1,5,5],[2,3,24],[2,4,66],[3,5,90],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5 Succeeded, w=5\",\"Add (4,5)=9 Succeeded, w=14\",\"Add (2,3)=24 Succeeded, w=38\",\"Add (0,2)=37 Succeeded, w=75\",\"Add (2,4)=66 Succeeded, w=141\",\"Add (3,5)=90 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[1,5,5],[2,3,24],[2,4,66],[3,5,90],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(4,5)=9,(2,3)=24,(0,2)=37,(2,4)=66,(3,5)=90]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=38\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=75\",\"Find(2)=2, Find(4)=1, Add (2,4)=66 Succeeded, w=141\",\"Find(3)=2, Find(5)=2, Add (3,5)=90 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[1,5,5],[2,3,24],[2,4,66],[3,5,90],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(4,5)=9,(2,3)=24,(0,2)=37,(2,4)=66,(3,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6}, Find(2)=2, Find(4)=1, Add (2,4)=66 Succeeded, w=141\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 6}, Find(3)=2, Find(5)=2, Add (3,5)=90 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,90],[0,3,26],[0,4,64],[0,5,39],[0,6,56],[1,3,3],[1,5,86],[1,6,1],[2,3,80],[2,4,55],[2,5,11],[2,6,64],[3,4,100],[3,5,25],[3,6,74],[4,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,3,26],[0,4,64],[0,5,39],[0,6,56],[1,3,3],[1,5,86],[1,6,1],[2,3,80],[2,4,55],[2,5,11],[2,6,64],[3,4,100],[3,5,25],[3,6,74],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,3,26],[0,4,64],[0,5,39],[0,6,56],[1,3,3],[1,5,86],[1,6,1],[2,3,80],[2,4,55],[2,5,11],[2,6,64],[3,4,100],[3,5,25],[3,6,74],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,3,26],[0,4,64],[0,5,39],[0,6,56],[1,3,3],[1,5,86],[1,6,1],[2,3,80],[2,4,55],[2,5,11],[2,6,64],[3,4,100],[3,5,25],[3,6,74],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (1,3)=3, w=4\",\"Add (2,5)=11, w=15\",\"Add (3,5)=25, w=40\",\"Add (0,3)=26, w=66\",\"Add (2,4)=55, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,3,26],[0,4,64],[0,5,39],[0,6,56],[1,3,3],[1,5,86],[1,6,1],[2,3,80],[2,4,55],[2,5,11],[2,6,64],[3,4,100],[3,5,25],[3,6,74],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (1,3)=3 Succeeded, w=4\",\"Add (2,5)=11 Succeeded, w=15\",\"Add (3,5)=25 Succeeded, w=40\",\"Add (0,3)=26 Succeeded, w=66\",\"Add (0,5)=39 Failed, w=66\",\"Add (2,4)=55 Succeeded, w=121\",\"Add (0,6)=56 Failed, w=121\",\"Add (0,4)=64 Failed, w=121\",\"Add (2,6)=64 Failed, w=121\",\"Add (3,6)=74 Failed, w=121\",\"Add (2,3)=80 Failed, w=121\",\"Add (4,6)=83 Failed, w=121\",\"Add (1,5)=86 Failed, w=121\",\"Add (0,1)=90 Failed, w=121\",\"Add (3,4)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,3,26],[0,4,64],[0,5,39],[0,6,56],[1,3,3],[1,5,86],[1,6,1],[2,3,80],[2,4,55],[2,5,11],[2,6,64],[3,4,100],[3,5,25],[3,6,74],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(1,3)=3,(2,5)=11,(3,5)=25,(0,3)=26,(0,5)=39,(2,4)=55,(0,6)=56,(0,4)=64,(2,6)=64,(3,6)=74,(2,3)=80,(4,6)=83,(1,5)=86,(0,1)=90,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=15\",\"Find(3)=1, Find(5)=2, Add (3,5)=25 Succeeded, w=40\",\"Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=66\",\"Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=66\",\"Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=121\",\"Find(0)=1, Find(6)=1, Add (0,6)=56 Failed, w=121\",\"Find(0)=1, Find(4)=1, Add (0,4)=64 Failed, w=121\",\"Find(2)=1, Find(6)=1, Add (2,6)=64 Failed, w=121\",\"Find(3)=1, Find(6)=1, Add (3,6)=74 Failed, w=121\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=121\",\"Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=121\",\"Find(1)=1, Find(5)=1, Add (1,5)=86 Failed, w=121\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=121\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,3,26],[0,4,64],[0,5,39],[0,6,56],[1,3,3],[1,5,86],[1,6,1],[2,3,80],[2,4,55],[2,5,11],[2,6,64],[3,4,100],[3,5,25],[3,6,74],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(1,3)=3,(2,5)=11,(3,5)=25,(0,3)=26,(0,5)=39,(2,4)=55,(0,6)=56,(0,4)=64,(2,6)=64,(3,6)=74,(2,3)=80,(4,6)=83,(1,5)=86,(0,1)=90,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 1}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2, 6: 1}, Find(3)=1, Find(5)=2, Add (3,5)=25 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 2, 6: 1}, Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=55 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=56 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=64 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=64 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=74 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=86 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,33],[1,2,48],[1,3,1],[2,3,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[1,2,48],[1,3,1],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[1,2,48],[1,3,1],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[1,2,48],[1,3,1],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,1)=33, w=34\",\"Add (2,3)=42, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[1,2,48],[1,3,1],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,1)=33 Succeeded, w=34\",\"Add (2,3)=42 Succeeded, w=76\",\"Add (1,2)=48 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[1,2,48],[1,3,1],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,1)=33,(2,3)=42,(1,2)=48]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=34\",\"Find(2)=2, Find(3)=1, Add (2,3)=42 Succeeded, w=76\",\"Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[1,2,48],[1,3,1],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,1)=33,(2,3)=42,(1,2)=48]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=42 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,32],[0,2,40],[0,4,69],[0,5,65],[1,3,55],[1,4,3],[2,4,88],[2,5,27],[3,4,73],[3,5,13]]} | [
{
"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],[0,4,69],[0,5,65],[1,3,55],[1,4,3],[2,4,88],[2,5,27],[3,4,73],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,4,69],[0,5,65],[1,3,55],[1,4,3],[2,4,88],[2,5,27],[3,4,73],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,4,69],[0,5,65],[1,3,55],[1,4,3],[2,4,88],[2,5,27],[3,4,73],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (3,5)=13, w=16\",\"Add (2,5)=27, w=43\",\"Add (0,1)=32, w=75\",\"Add (0,2)=40, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,4,69],[0,5,65],[1,3,55],[1,4,3],[2,4,88],[2,5,27],[3,4,73],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (3,5)=13 Succeeded, w=16\",\"Add (2,5)=27 Succeeded, w=43\",\"Add (0,1)=32 Succeeded, w=75\",\"Add (0,2)=40 Succeeded, w=115\",\"Add (1,3)=55 Failed, w=115\",\"Add (0,5)=65 Failed, w=115\",\"Add (0,4)=69 Failed, w=115\",\"Add (3,4)=73 Failed, w=115\",\"Add (2,4)=88 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,4,69],[0,5,65],[1,3,55],[1,4,3],[2,4,88],[2,5,27],[3,4,73],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(3,5)=13,(2,5)=27,(0,1)=32,(0,2)=40,(1,3)=55,(0,5)=65,(0,4)=69,(3,4)=73,(2,4)=88]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=16\",\"Find(2)=2, Find(5)=3, Add (2,5)=27 Succeeded, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=75\",\"Find(0)=1, Find(2)=3, Add (0,2)=40 Succeeded, w=115\",\"Find(1)=1, Find(3)=1, Add (1,3)=55 Failed, w=115\",\"Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=115\",\"Find(0)=1, Find(4)=1, Add (0,4)=69 Failed, w=115\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=115\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,40],[0,4,69],[0,5,65],[1,3,55],[1,4,3],[2,4,88],[2,5,27],[3,4,73],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(3,5)=13,(2,5)=27,(0,1)=32,(0,2)=40,(1,3)=55,(0,5)=65,(0,4)=69,(3,4)=73,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=27 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(2)=3, Add (0,2)=40 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=1, Add (1,3)=55 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=69 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,12],[0,3,29],[1,2,56],[1,3,56],[1,4,22],[2,3,39],[3,4,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,29],[1,2,56],[1,3,56],[1,4,22],[2,3,39],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,29],[1,2,56],[1,3,56],[1,4,22],[2,3,39],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,29],[1,2,56],[1,3,56],[1,4,22],[2,3,39],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (1,4)=22, w=34\",\"Add (0,3)=29, w=63\",\"Add (2,3)=39, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,29],[1,2,56],[1,3,56],[1,4,22],[2,3,39],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (1,4)=22 Succeeded, w=34\",\"Add (0,3)=29 Succeeded, w=63\",\"Add (2,3)=39 Succeeded, w=102\",\"Add (1,2)=56 Failed, w=102\",\"Add (1,3)=56 Failed, w=102\",\"Add (3,4)=76 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,29],[1,2,56],[1,3,56],[1,4,22],[2,3,39],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(1,4)=22,(0,3)=29,(2,3)=39,(1,2)=56,(1,3)=56,(3,4)=76]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(1)=0, Find(4)=4, Add (1,4)=22 Succeeded, w=34\",\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=63\",\"Find(2)=2, Find(3)=0, Add (2,3)=39 Succeeded, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=102\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=102\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,29],[1,2,56],[1,3,56],[1,4,22],[2,3,39],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(1,4)=22,(0,3)=29,(2,3)=39,(1,2)=56,(1,3)=56,(3,4)=76]\",\"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: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=22 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=39 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,44],[0,2,9],[0,3,77],[0,4,92],[0,5,96],[1,2,92],[1,3,67],[1,4,89],[1,5,98],[2,3,53],[2,5,17],[3,4,27],[3,5,53],[4,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,9],[0,3,77],[0,4,92],[0,5,96],[1,2,92],[1,3,67],[1,4,89],[1,5,98],[2,3,53],[2,5,17],[3,4,27],[3,5,53],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,9],[0,3,77],[0,4,92],[0,5,96],[1,2,92],[1,3,67],[1,4,89],[1,5,98],[2,3,53],[2,5,17],[3,4,27],[3,5,53],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,9],[0,3,77],[0,4,92],[0,5,96],[1,2,92],[1,3,67],[1,4,89],[1,5,98],[2,3,53],[2,5,17],[3,4,27],[3,5,53],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (2,5)=17, w=26\",\"Add (3,4)=27, w=53\",\"Add (0,1)=44, w=97\",\"Add (2,3)=53, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,9],[0,3,77],[0,4,92],[0,5,96],[1,2,92],[1,3,67],[1,4,89],[1,5,98],[2,3,53],[2,5,17],[3,4,27],[3,5,53],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (2,5)=17 Succeeded, w=26\",\"Add (3,4)=27 Succeeded, w=53\",\"Add (0,1)=44 Succeeded, w=97\",\"Add (2,3)=53 Succeeded, w=150\",\"Add (3,5)=53 Failed, w=150\",\"Add (4,5)=54 Failed, w=150\",\"Add (1,3)=67 Failed, w=150\",\"Add (0,3)=77 Failed, w=150\",\"Add (1,4)=89 Failed, w=150\",\"Add (0,4)=92 Failed, w=150\",\"Add (1,2)=92 Failed, w=150\",\"Add (0,5)=96 Failed, w=150\",\"Add (1,5)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,9],[0,3,77],[0,4,92],[0,5,96],[1,2,92],[1,3,67],[1,4,89],[1,5,98],[2,3,53],[2,5,17],[3,4,27],[3,5,53],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(2,5)=17,(3,4)=27,(0,1)=44,(2,3)=53,(3,5)=53,(4,5)=54,(1,3)=67,(0,3)=77,(1,4)=89,(0,4)=92,(1,2)=92,(0,5)=96,(1,5)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(2)=0, Find(5)=5, Add (2,5)=17 Succeeded, w=26\",\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=97\",\"Find(2)=0, Find(3)=3, Add (2,3)=53 Succeeded, w=150\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=150\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=150\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=150\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=150\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=150\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=150\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=150\",\"Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=150\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,9],[0,3,77],[0,4,92],[0,5,96],[1,2,92],[1,3,67],[1,4,89],[1,5,98],[2,3,53],[2,5,17],[3,4,27],[3,5,53],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(2,5)=17,(3,4)=27,(0,1)=44,(2,3)=53,(3,5)=53,(4,5)=54,(1,3)=67,(0,3)=77,(1,4)=89,(0,4)=92,(1,2)=92,(0,5)=96,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=17 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=53 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[0,2,13],[0,3,48],[1,2,5],[1,3,20],[1,4,61],[2,3,41],[2,4,92],[3,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,13],[0,3,48],[1,2,5],[1,3,20],[1,4,61],[2,3,41],[2,4,92],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,13],[0,3,48],[1,2,5],[1,3,20],[1,4,61],[2,3,41],[2,4,92],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,13],[0,3,48],[1,2,5],[1,3,20],[1,4,61],[2,3,41],[2,4,92],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (1,2)=5, w=6\",\"Add (0,2)=13, w=19\",\"Add (1,3)=20, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,13],[0,3,48],[1,2,5],[1,3,20],[1,4,61],[2,3,41],[2,4,92],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (1,2)=5 Succeeded, w=6\",\"Add (0,2)=13 Succeeded, w=19\",\"Add (0,1)=19 Failed, w=19\",\"Add (1,3)=20 Succeeded, w=39\",\"Add (2,3)=41 Failed, w=39\",\"Add (0,3)=48 Failed, w=39\",\"Add (1,4)=61 Failed, w=39\",\"Add (2,4)=92 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,13],[0,3,48],[1,2,5],[1,3,20],[1,4,61],[2,3,41],[2,4,92],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,2)=5,(0,2)=13,(0,1)=19,(1,3)=20,(2,3)=41,(0,3)=48,(1,4)=61,(2,4)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=6\",\"Find(0)=0, Find(2)=1, Add (0,2)=13 Succeeded, w=19\",\"Find(0)=1, Find(1)=1, Add (0,1)=19 Failed, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=39\",\"Find(2)=1, Find(3)=1, Add (2,3)=41 Failed, w=39\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=39\",\"Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=39\",\"Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,13],[0,3,48],[1,2,5],[1,3,20],[1,4,61],[2,3,41],[2,4,92],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,2)=5,(0,2)=13,(0,1)=19,(1,3)=20,(2,3)=41,(0,3)=48,(1,4)=61,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(2)=1, Add (0,2)=13 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=1, Find(1)=1, Add (0,1)=19 Failed, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(3)=1, Add (2,3)=41 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,92],[0,2,26],[0,3,32],[0,4,29],[1,2,15],[1,3,87],[1,4,5],[2,3,38],[2,4,60],[3,4,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,26],[0,3,32],[0,4,29],[1,2,15],[1,3,87],[1,4,5],[2,3,38],[2,4,60],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,26],[0,3,32],[0,4,29],[1,2,15],[1,3,87],[1,4,5],[2,3,38],[2,4,60],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,26],[0,3,32],[0,4,29],[1,2,15],[1,3,87],[1,4,5],[2,3,38],[2,4,60],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (1,2)=15, w=20\",\"Add (0,2)=26, w=46\",\"Add (0,3)=32, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,26],[0,3,32],[0,4,29],[1,2,15],[1,3,87],[1,4,5],[2,3,38],[2,4,60],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (1,2)=15 Succeeded, w=20\",\"Add (0,2)=26 Succeeded, w=46\",\"Add (0,4)=29 Failed, w=46\",\"Add (0,3)=32 Succeeded, w=78\",\"Add (2,3)=38 Failed, w=78\",\"Add (2,4)=60 Failed, w=78\",\"Add (1,3)=87 Failed, w=78\",\"Add (0,1)=92 Failed, w=78\",\"Add (3,4)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,26],[0,3,32],[0,4,29],[1,2,15],[1,3,87],[1,4,5],[2,3,38],[2,4,60],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,2)=15,(0,2)=26,(0,4)=29,(0,3)=32,(2,3)=38,(2,4)=60,(1,3)=87,(0,1)=92,(3,4)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=20\",\"Find(0)=0, Find(2)=1, Add (0,2)=26 Succeeded, w=46\",\"Find(0)=1, Find(4)=1, Add (0,4)=29 Failed, w=46\",\"Find(0)=1, Find(3)=3, Add (0,3)=32 Succeeded, w=78\",\"Find(2)=1, Find(3)=1, Add (2,3)=38 Failed, w=78\",\"Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=78\",\"Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=78\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=78\",\"Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,26],[0,3,32],[0,4,29],[1,2,15],[1,3,87],[1,4,5],[2,3,38],[2,4,60],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,2)=15,(0,2)=26,(0,4)=29,(0,3)=32,(2,3)=38,(2,4)=60,(1,3)=87,(0,1)=92,(3,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=26 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=29 Failed, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=32 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=38 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=87 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,16],[0,2,4],[0,3,21],[0,4,12],[0,7,68],[1,2,38],[1,3,23],[1,4,80],[1,6,33],[1,7,96],[2,3,13],[2,4,8],[2,5,47],[2,6,67],[2,7,38],[3,4,39],[3,5,10],[3,6,13],[3,7,76],[4,5,32],[4,6,80],[4,7,5],[5,6,22],[5,7,54],[6,7,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,4],[0,3,21],[0,4,12],[0,7,68],[1,2,38],[1,3,23],[1,4,80],[1,6,33],[1,7,96],[2,3,13],[2,4,8],[2,5,47],[2,6,67],[2,7,38],[3,4,39],[3,5,10],[3,6,13],[3,7,76],[4,5,32],[4,6,80],[4,7,5],[5,6,22],[5,7,54],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,4],[0,3,21],[0,4,12],[0,7,68],[1,2,38],[1,3,23],[1,4,80],[1,6,33],[1,7,96],[2,3,13],[2,4,8],[2,5,47],[2,6,67],[2,7,38],[3,4,39],[3,5,10],[3,6,13],[3,7,76],[4,5,32],[4,6,80],[4,7,5],[5,6,22],[5,7,54],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,7)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (3,6)\",\"Add (0,1)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,4],[0,3,21],[0,4,12],[0,7,68],[1,2,38],[1,3,23],[1,4,80],[1,6,33],[1,7,96],[2,3,13],[2,4,8],[2,5,47],[2,6,67],[2,7,38],[3,4,39],[3,5,10],[3,6,13],[3,7,76],[4,5,32],[4,6,80],[4,7,5],[5,6,22],[5,7,54],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (4,7)=5, w=9\",\"Add (2,4)=8, w=17\",\"Add (3,5)=10, w=27\",\"Add (2,3)=13, w=40\",\"Add (3,6)=13, w=53\",\"Add (0,1)=16, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,4],[0,3,21],[0,4,12],[0,7,68],[1,2,38],[1,3,23],[1,4,80],[1,6,33],[1,7,96],[2,3,13],[2,4,8],[2,5,47],[2,6,67],[2,7,38],[3,4,39],[3,5,10],[3,6,13],[3,7,76],[4,5,32],[4,6,80],[4,7,5],[5,6,22],[5,7,54],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (4,7)=5 Succeeded, w=9\",\"Add (2,4)=8 Succeeded, w=17\",\"Add (3,5)=10 Succeeded, w=27\",\"Add (0,4)=12 Failed, w=27\",\"Add (2,3)=13 Succeeded, w=40\",\"Add (3,6)=13 Succeeded, w=53\",\"Add (0,1)=16 Succeeded, w=69\",\"Add (0,3)=21 Failed, w=69\",\"Add (5,6)=22 Failed, w=69\",\"Add (1,3)=23 Failed, w=69\",\"Add (4,5)=32 Failed, w=69\",\"Add (1,6)=33 Failed, w=69\",\"Add (1,2)=38 Failed, w=69\",\"Add (2,7)=38 Failed, w=69\",\"Add (3,4)=39 Failed, w=69\",\"Add (6,7)=44 Failed, w=69\",\"Add (2,5)=47 Failed, w=69\",\"Add (5,7)=54 Failed, w=69\",\"Add (2,6)=67 Failed, w=69\",\"Add (0,7)=68 Failed, w=69\",\"Add (3,7)=76 Failed, w=69\",\"Add (1,4)=80 Failed, w=69\",\"Add (4,6)=80 Failed, w=69\",\"Add (1,7)=96 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,4],[0,3,21],[0,4,12],[0,7,68],[1,2,38],[1,3,23],[1,4,80],[1,6,33],[1,7,96],[2,3,13],[2,4,8],[2,5,47],[2,6,67],[2,7,38],[3,4,39],[3,5,10],[3,6,13],[3,7,76],[4,5,32],[4,6,80],[4,7,5],[5,6,22],[5,7,54],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(4,7)=5,(2,4)=8,(3,5)=10,(0,4)=12,(2,3)=13,(3,6)=13,(0,1)=16,(0,3)=21,(5,6)=22,(1,3)=23,(4,5)=32,(1,6)=33,(1,2)=38,(2,7)=38,(3,4)=39,(6,7)=44,(2,5)=47,(5,7)=54,(2,6)=67,(0,7)=68,(3,7)=76,(1,4)=80,(4,6)=80,(1,7)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(4)=4, Find(7)=7, Add (4,7)=5 Succeeded, w=9\",\"Find(2)=0, Find(4)=4, Add (2,4)=8 Succeeded, w=17\",\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=27\",\"Find(0)=0, Find(4)=0, Add (0,4)=12 Failed, w=27\",\"Find(2)=0, Find(3)=3, Add (2,3)=13 Succeeded, w=40\",\"Find(3)=0, Find(6)=6, Add (3,6)=13 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=69\",\"Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=69\",\"Find(5)=0, Find(6)=0, Add (5,6)=22 Failed, w=69\",\"Find(1)=0, Find(3)=0, Add (1,3)=23 Failed, w=69\",\"Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=69\",\"Find(1)=0, Find(6)=0, Add (1,6)=33 Failed, w=69\",\"Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=69\",\"Find(2)=0, Find(7)=0, Add (2,7)=38 Failed, w=69\",\"Find(3)=0, Find(4)=0, Add (3,4)=39 Failed, w=69\",\"Find(6)=0, Find(7)=0, Add (6,7)=44 Failed, w=69\",\"Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=69\",\"Find(5)=0, Find(7)=0, Add (5,7)=54 Failed, w=69\",\"Find(2)=0, Find(6)=0, Add (2,6)=67 Failed, w=69\",\"Find(0)=0, Find(7)=0, Add (0,7)=68 Failed, w=69\",\"Find(3)=0, Find(7)=0, Add (3,7)=76 Failed, w=69\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=69\",\"Find(4)=0, Find(6)=0, Add (4,6)=80 Failed, w=69\",\"Find(1)=0, Find(7)=0, Add (1,7)=96 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,4],[0,3,21],[0,4,12],[0,7,68],[1,2,38],[1,3,23],[1,4,80],[1,6,33],[1,7,96],[2,3,13],[2,4,8],[2,5,47],[2,6,67],[2,7,38],[3,4,39],[3,5,10],[3,6,13],[3,7,76],[4,5,32],[4,6,80],[4,7,5],[5,6,22],[5,7,54],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(4,7)=5,(2,4)=8,(3,5)=10,(0,4)=12,(2,3)=13,(3,6)=13,(0,1)=16,(0,3)=21,(5,6)=22,(1,3)=23,(4,5)=32,(1,6)=33,(1,2)=38,(2,7)=38,(3,4)=39,(6,7)=44,(2,5)=47,(5,7)=54,(2,6)=67,(0,7)=68,(3,7)=76,(1,4)=80,(4,6)=80,(1,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 4}, Find(2)=0, Find(4)=4, Add (2,4)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 6, 7: 4}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 6, 7: 4}, Find(0)=0, Find(4)=0, Add (0,4)=12 Failed, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 6, 7: 4}, Find(2)=0, Find(3)=3, Add (2,3)=13 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 4}, Find(3)=0, Find(6)=6, Add (3,6)=13 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 4}, Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(5)=0, Find(6)=0, Add (5,6)=22 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=0, Find(3)=0, Add (1,3)=23 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=0, Find(6)=0, Add (1,6)=33 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=69\",\"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)=38 Failed, w=69\",\"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)=39 Failed, w=69\",\"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)=44 Failed, w=69\",\"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)=47 Failed, w=69\",\"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)=54 Failed, w=69\",\"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)=67 Failed, w=69\",\"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)=68 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=76 Failed, w=69\",\"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)=80 Failed, w=69\",\"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)=80 Failed, w=69\",\"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)=96 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,59],[0,3,17],[0,5,95],[0,7,22],[1,2,21],[1,4,45],[1,7,28],[2,3,53],[2,5,73],[2,7,75],[3,5,90],[3,6,99],[3,7,27],[4,5,80],[4,6,36],[5,6,10],[5,7,16],[6,7,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,17],[0,5,95],[0,7,22],[1,2,21],[1,4,45],[1,7,28],[2,3,53],[2,5,73],[2,7,75],[3,5,90],[3,6,99],[3,7,27],[4,5,80],[4,6,36],[5,6,10],[5,7,16],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,17],[0,5,95],[0,7,22],[1,2,21],[1,4,45],[1,7,28],[2,3,53],[2,5,73],[2,7,75],[3,5,90],[3,6,99],[3,7,27],[4,5,80],[4,6,36],[5,6,10],[5,7,16],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (5,7)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (0,7)\",\"Add (1,7)\",\"Add (4,6)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,17],[0,5,95],[0,7,22],[1,2,21],[1,4,45],[1,7,28],[2,3,53],[2,5,73],[2,7,75],[3,5,90],[3,6,99],[3,7,27],[4,5,80],[4,6,36],[5,6,10],[5,7,16],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=10, w=10\",\"Add (5,7)=16, w=26\",\"Add (0,3)=17, w=43\",\"Add (1,2)=21, w=64\",\"Add (0,7)=22, w=86\",\"Add (1,7)=28, w=114\",\"Add (4,6)=36, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,17],[0,5,95],[0,7,22],[1,2,21],[1,4,45],[1,7,28],[2,3,53],[2,5,73],[2,7,75],[3,5,90],[3,6,99],[3,7,27],[4,5,80],[4,6,36],[5,6,10],[5,7,16],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=10 Succeeded, w=10\",\"Add (5,7)=16 Succeeded, w=26\",\"Add (0,3)=17 Succeeded, w=43\",\"Add (1,2)=21 Succeeded, w=64\",\"Add (0,7)=22 Succeeded, w=86\",\"Add (3,7)=27 Failed, w=86\",\"Add (1,7)=28 Succeeded, w=114\",\"Add (4,6)=36 Succeeded, w=150\",\"Add (6,7)=39 Failed, w=150\",\"Add (1,4)=45 Failed, w=150\",\"Add (2,3)=53 Failed, w=150\",\"Add (0,2)=59 Failed, w=150\",\"Add (2,5)=73 Failed, w=150\",\"Add (2,7)=75 Failed, w=150\",\"Add (4,5)=80 Failed, w=150\",\"Add (3,5)=90 Failed, w=150\",\"Add (0,5)=95 Failed, w=150\",\"Add (3,6)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,17],[0,5,95],[0,7,22],[1,2,21],[1,4,45],[1,7,28],[2,3,53],[2,5,73],[2,7,75],[3,5,90],[3,6,99],[3,7,27],[4,5,80],[4,6,36],[5,6,10],[5,7,16],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=10,(5,7)=16,(0,3)=17,(1,2)=21,(0,7)=22,(3,7)=27,(1,7)=28,(4,6)=36,(6,7)=39,(1,4)=45,(2,3)=53,(0,2)=59,(2,5)=73,(2,7)=75,(4,5)=80,(3,5)=90,(0,5)=95,(3,6)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=10 Succeeded, w=10\",\"Find(5)=5, Find(7)=7, Add (5,7)=16 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=43\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=64\",\"Find(0)=0, Find(7)=5, Add (0,7)=22 Succeeded, w=86\",\"Find(3)=0, Find(7)=0, Add (3,7)=27 Failed, w=86\",\"Find(1)=1, Find(7)=0, Add (1,7)=28 Succeeded, w=114\",\"Find(4)=4, Find(6)=0, Add (4,6)=36 Succeeded, w=150\",\"Find(6)=0, Find(7)=0, Add (6,7)=39 Failed, w=150\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=150\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=150\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=150\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=150\",\"Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=150\",\"Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=150\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=150\",\"Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=150\",\"Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,17],[0,5,95],[0,7,22],[1,2,21],[1,4,45],[1,7,28],[2,3,53],[2,5,73],[2,7,75],[3,5,90],[3,6,99],[3,7,27],[4,5,80],[4,6,36],[5,6,10],[5,7,16],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=10,(5,7)=16,(0,3)=17,(1,2)=21,(0,7)=22,(3,7)=27,(1,7)=28,(4,6)=36,(6,7)=39,(1,4)=45,(2,3)=53,(0,2)=59,(2,5)=73,(2,7)=75,(4,5)=80,(3,5)=90,(0,5)=95,(3,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=22 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 5, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=27 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0, 6: 5, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=28 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=36 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=39 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=150\",\"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)=53 Failed, w=150\",\"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)=59 Failed, w=150\",\"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)=73 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=150\",\"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=150\",\"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)=90 Failed, w=150\",\"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)=95 Failed, w=150\",\"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)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,80],[0,2,67],[0,3,37],[0,5,36],[1,2,12],[1,3,61],[1,4,0],[1,5,7],[2,3,51],[2,4,12],[2,5,35],[3,4,21],[3,5,64],[4,5,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,67],[0,3,37],[0,5,36],[1,2,12],[1,3,61],[1,4,0],[1,5,7],[2,3,51],[2,4,12],[2,5,35],[3,4,21],[3,5,64],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,67],[0,3,37],[0,5,36],[1,2,12],[1,3,61],[1,4,0],[1,5,7],[2,3,51],[2,4,12],[2,5,35],[3,4,21],[3,5,64],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,5)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,67],[0,3,37],[0,5,36],[1,2,12],[1,3,61],[1,4,0],[1,5,7],[2,3,51],[2,4,12],[2,5,35],[3,4,21],[3,5,64],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (1,5)=7, w=7\",\"Add (1,2)=12, w=19\",\"Add (3,4)=21, w=40\",\"Add (0,5)=36, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,67],[0,3,37],[0,5,36],[1,2,12],[1,3,61],[1,4,0],[1,5,7],[2,3,51],[2,4,12],[2,5,35],[3,4,21],[3,5,64],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (1,5)=7 Succeeded, w=7\",\"Add (1,2)=12 Succeeded, w=19\",\"Add (2,4)=12 Failed, w=19\",\"Add (4,5)=17 Failed, w=19\",\"Add (3,4)=21 Succeeded, w=40\",\"Add (2,5)=35 Failed, w=40\",\"Add (0,5)=36 Succeeded, w=76\",\"Add (0,3)=37 Failed, w=76\",\"Add (2,3)=51 Failed, w=76\",\"Add (1,3)=61 Failed, w=76\",\"Add (3,5)=64 Failed, w=76\",\"Add (0,2)=67 Failed, w=76\",\"Add (0,1)=80 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,67],[0,3,37],[0,5,36],[1,2,12],[1,3,61],[1,4,0],[1,5,7],[2,3,51],[2,4,12],[2,5,35],[3,4,21],[3,5,64],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,5)=7,(1,2)=12,(2,4)=12,(4,5)=17,(3,4)=21,(2,5)=35,(0,5)=36,(0,3)=37,(2,3)=51,(1,3)=61,(3,5)=64,(0,2)=67,(0,1)=80]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=19\",\"Find(2)=1, Find(4)=1, Add (2,4)=12 Failed, w=19\",\"Find(4)=1, Find(5)=1, Add (4,5)=17 Failed, w=19\",\"Find(3)=3, Find(4)=1, Add (3,4)=21 Succeeded, w=40\",\"Find(2)=1, Find(5)=1, Add (2,5)=35 Failed, w=40\",\"Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=76\",\"Find(0)=1, Find(3)=1, Add (0,3)=37 Failed, w=76\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=76\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=76\",\"Find(3)=1, Find(5)=1, Add (3,5)=64 Failed, w=76\",\"Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=76\",\"Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,67],[0,3,37],[0,5,36],[1,2,12],[1,3,61],[1,4,0],[1,5,7],[2,3,51],[2,4,12],[2,5,35],[3,4,21],[3,5,64],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,5)=7,(1,2)=12,(2,4)=12,(4,5)=17,(3,4)=21,(2,5)=35,(0,5)=36,(0,3)=37,(2,3)=51,(1,3)=61,(3,5)=64,(0,2)=67,(0,1)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=12 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=17 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=35 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=37 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=64 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,63],[0,3,95],[0,4,49],[1,4,72],[1,6,19],[2,4,93],[2,5,82],[2,6,40],[2,7,81],[3,5,16],[4,5,27],[4,6,34],[5,6,72],[5,7,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,63],[0,3,95],[0,4,49],[1,4,72],[1,6,19],[2,4,93],[2,5,82],[2,6,40],[2,7,81],[3,5,16],[4,5,27],[4,6,34],[5,6,72],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,63],[0,3,95],[0,4,49],[1,4,72],[1,6,19],[2,4,93],[2,5,82],[2,6,40],[2,7,81],[3,5,16],[4,5,27],[4,6,34],[5,6,72],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (2,7)\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,63],[0,3,95],[0,4,49],[1,4,72],[1,6,19],[2,4,93],[2,5,82],[2,6,40],[2,7,81],[3,5,16],[4,5,27],[4,6,34],[5,6,72],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16, w=16\",\"Add (1,6)=19, w=35\",\"Add (4,5)=27, w=62\",\"Add (4,6)=34, w=96\",\"Add (2,6)=40, w=136\",\"Add (0,4)=49, w=185\",\"Add (2,7)=81, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,63],[0,3,95],[0,4,49],[1,4,72],[1,6,19],[2,4,93],[2,5,82],[2,6,40],[2,7,81],[3,5,16],[4,5,27],[4,6,34],[5,6,72],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16 Succeeded, w=16\",\"Add (1,6)=19 Succeeded, w=35\",\"Add (4,5)=27 Succeeded, w=62\",\"Add (4,6)=34 Succeeded, w=96\",\"Add (2,6)=40 Succeeded, w=136\",\"Add (0,4)=49 Succeeded, w=185\",\"Add (0,2)=63 Failed, w=185\",\"Add (1,4)=72 Failed, w=185\",\"Add (5,6)=72 Failed, w=185\",\"Add (2,7)=81 Succeeded, w=266\",\"Add (2,5)=82 Failed, w=266\",\"Add (2,4)=93 Failed, w=266\",\"Add (0,3)=95 Failed, w=266\",\"Add (5,7)=98 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,63],[0,3,95],[0,4,49],[1,4,72],[1,6,19],[2,4,93],[2,5,82],[2,6,40],[2,7,81],[3,5,16],[4,5,27],[4,6,34],[5,6,72],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(1,6)=19,(4,5)=27,(4,6)=34,(2,6)=40,(0,4)=49,(0,2)=63,(1,4)=72,(5,6)=72,(2,7)=81,(2,5)=82,(2,4)=93,(0,3)=95,(5,7)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=16\",\"Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=35\",\"Find(4)=4, Find(5)=3, Add (4,5)=27 Succeeded, w=62\",\"Find(4)=3, Find(6)=1, Add (4,6)=34 Succeeded, w=96\",\"Find(2)=2, Find(6)=3, Add (2,6)=40 Succeeded, w=136\",\"Find(0)=0, Find(4)=3, Add (0,4)=49 Succeeded, w=185\",\"Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=185\",\"Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=185\",\"Find(5)=3, Find(6)=3, Add (5,6)=72 Failed, w=185\",\"Find(2)=3, Find(7)=7, Add (2,7)=81 Succeeded, w=266\",\"Find(2)=3, Find(5)=3, Add (2,5)=82 Failed, w=266\",\"Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=266\",\"Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=266\",\"Find(5)=3, Find(7)=3, Add (5,7)=98 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,63],[0,3,95],[0,4,49],[1,4,72],[1,6,19],[2,4,93],[2,5,82],[2,6,40],[2,7,81],[3,5,16],[4,5,27],[4,6,34],[5,6,72],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(1,6)=19,(4,5)=27,(4,6)=34,(2,6)=40,(0,4)=49,(0,2)=63,(1,4)=72,(5,6)=72,(2,7)=81,(2,5)=82,(2,4)=93,(0,3)=95,(5,7)=98]\",\"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: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 7}, Find(4)=4, Find(5)=3, Add (4,5)=27 Succeeded, w=62\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 7}, Find(4)=3, Find(6)=1, Add (4,6)=34 Succeeded, w=96\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(2)=2, Find(6)=3, Add (2,6)=40 Succeeded, w=136\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(0)=0, Find(4)=3, Add (0,4)=49 Succeeded, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(5)=3, Find(6)=3, Add (5,6)=72 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=7, Add (2,7)=81 Succeeded, w=266\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=82 Failed, w=266\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=266\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=95 Failed, w=266\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=98 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,2,22],[0,3,40],[1,2,97],[1,4,37],[2,4,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,22],[0,3,40],[1,2,97],[1,4,37],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,22],[0,3,40],[1,2,97],[1,4,37],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,22],[0,3,40],[1,2,97],[1,4,37],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (0,2)=22, w=26\",\"Add (1,4)=37, w=63\",\"Add (0,3)=40, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,22],[0,3,40],[1,2,97],[1,4,37],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (0,2)=22 Succeeded, w=26\",\"Add (1,4)=37 Succeeded, w=63\",\"Add (0,3)=40 Succeeded, w=103\",\"Add (0,1)=76 Failed, w=103\",\"Add (1,2)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,22],[0,3,40],[1,2,97],[1,4,37],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=22,(1,4)=37,(0,3)=40,(0,1)=76,(1,2)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=26\",\"Find(1)=1, Find(4)=2, Add (1,4)=37 Succeeded, w=63\",\"Find(0)=2, Find(3)=3, Add (0,3)=40 Succeeded, w=103\",\"Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=103\",\"Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,22],[0,3,40],[1,2,97],[1,4,37],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=22,(1,4)=37,(0,3)=40,(0,1)=76,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=37 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=40 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=76 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,11],[0,3,47],[0,4,31],[0,5,14],[0,6,64],[1,2,49],[1,4,72],[1,6,63],[2,3,23],[2,5,24],[2,6,39],[3,5,4],[3,6,95],[3,7,57],[4,5,98],[4,6,77],[5,7,31],[6,7,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,47],[0,4,31],[0,5,14],[0,6,64],[1,2,49],[1,4,72],[1,6,63],[2,3,23],[2,5,24],[2,6,39],[3,5,4],[3,6,95],[3,7,57],[4,5,98],[4,6,77],[5,7,31],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,47],[0,4,31],[0,5,14],[0,6,64],[1,2,49],[1,4,72],[1,6,63],[2,3,23],[2,5,24],[2,6,39],[3,5,4],[3,6,95],[3,7,57],[4,5,98],[4,6,77],[5,7,31],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (5,7)\",\"Add (2,6)\",\"Add (1,2)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,47],[0,4,31],[0,5,14],[0,6,64],[1,2,49],[1,4,72],[1,6,63],[2,3,23],[2,5,24],[2,6,39],[3,5,4],[3,6,95],[3,7,57],[4,5,98],[4,6,77],[5,7,31],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (0,2)=11, w=15\",\"Add (0,5)=14, w=29\",\"Add (0,4)=31, w=60\",\"Add (5,7)=31, w=91\",\"Add (2,6)=39, w=130\",\"Add (1,2)=49, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,47],[0,4,31],[0,5,14],[0,6,64],[1,2,49],[1,4,72],[1,6,63],[2,3,23],[2,5,24],[2,6,39],[3,5,4],[3,6,95],[3,7,57],[4,5,98],[4,6,77],[5,7,31],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (0,2)=11 Succeeded, w=15\",\"Add (0,5)=14 Succeeded, w=29\",\"Add (2,3)=23 Failed, w=29\",\"Add (2,5)=24 Failed, w=29\",\"Add (0,4)=31 Succeeded, w=60\",\"Add (5,7)=31 Succeeded, w=91\",\"Add (2,6)=39 Succeeded, w=130\",\"Add (0,3)=47 Failed, w=130\",\"Add (1,2)=49 Succeeded, w=179\",\"Add (3,7)=57 Failed, w=179\",\"Add (1,6)=63 Failed, w=179\",\"Add (0,6)=64 Failed, w=179\",\"Add (1,4)=72 Failed, w=179\",\"Add (4,6)=77 Failed, w=179\",\"Add (3,6)=95 Failed, w=179\",\"Add (6,7)=97 Failed, w=179\",\"Add (4,5)=98 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,47],[0,4,31],[0,5,14],[0,6,64],[1,2,49],[1,4,72],[1,6,63],[2,3,23],[2,5,24],[2,6,39],[3,5,4],[3,6,95],[3,7,57],[4,5,98],[4,6,77],[5,7,31],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(0,2)=11,(0,5)=14,(2,3)=23,(2,5)=24,(0,4)=31,(5,7)=31,(2,6)=39,(0,3)=47,(1,2)=49,(3,7)=57,(1,6)=63,(0,6)=64,(1,4)=72,(4,6)=77,(3,6)=95,(6,7)=97,(4,5)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Find(0)=0, Find(5)=3, Add (0,5)=14 Succeeded, w=29\",\"Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=29\",\"Find(2)=0, Find(5)=0, Add (2,5)=24 Failed, w=29\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=60\",\"Find(5)=0, Find(7)=7, Add (5,7)=31 Succeeded, w=91\",\"Find(2)=0, Find(6)=6, Add (2,6)=39 Succeeded, w=130\",\"Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=130\",\"Find(1)=1, Find(2)=0, Add (1,2)=49 Succeeded, w=179\",\"Find(3)=0, Find(7)=0, Add (3,7)=57 Failed, w=179\",\"Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=179\",\"Find(0)=0, Find(6)=0, Add (0,6)=64 Failed, w=179\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=179\",\"Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=179\",\"Find(3)=0, Find(6)=0, Add (3,6)=95 Failed, w=179\",\"Find(6)=0, Find(7)=0, Add (6,7)=97 Failed, w=179\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,11],[0,3,47],[0,4,31],[0,5,14],[0,6,64],[1,2,49],[1,4,72],[1,6,63],[2,3,23],[2,5,24],[2,6,39],[3,5,4],[3,6,95],[3,7,57],[4,5,98],[4,6,77],[5,7,31],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(0,2)=11,(0,5)=14,(2,3)=23,(2,5)=24,(0,4)=31,(5,7)=31,(2,6)=39,(0,3)=47,(1,2)=49,(3,7)=57,(1,6)=63,(0,6)=64,(1,4)=72,(4,6)=77,(3,6)=95,(6,7)=97,(4,5)=98]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(5)=3, Add (0,5)=14 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 6, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=24 Failed, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=31 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=6, Add (2,6)=39 Succeeded, w=130\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=49 Succeeded, w=179\",\"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)=57 Failed, w=179\",\"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)=63 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=64 Failed, w=179\",\"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)=72 Failed, w=179\",\"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)=77 Failed, w=179\",\"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)=95 Failed, w=179\",\"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)=97 Failed, w=179\",\"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)=98 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,94],[0,2,81],[0,3,20],[0,4,93],[1,2,49],[1,3,91],[1,4,87],[2,3,1],[2,4,60],[3,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,81],[0,3,20],[0,4,93],[1,2,49],[1,3,91],[1,4,87],[2,3,1],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,81],[0,3,20],[0,4,93],[1,2,49],[1,3,91],[1,4,87],[2,3,1],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,81],[0,3,20],[0,4,93],[1,2,49],[1,3,91],[1,4,87],[2,3,1],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,3)=20, w=21\",\"Add (3,4)=26, w=47\",\"Add (1,2)=49, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,81],[0,3,20],[0,4,93],[1,2,49],[1,3,91],[1,4,87],[2,3,1],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,3)=20 Succeeded, w=21\",\"Add (3,4)=26 Succeeded, w=47\",\"Add (1,2)=49 Succeeded, w=96\",\"Add (2,4)=60 Failed, w=96\",\"Add (0,2)=81 Failed, w=96\",\"Add (1,4)=87 Failed, w=96\",\"Add (1,3)=91 Failed, w=96\",\"Add (0,4)=93 Failed, w=96\",\"Add (0,1)=94 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,81],[0,3,20],[0,4,93],[1,2,49],[1,3,91],[1,4,87],[2,3,1],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=20,(3,4)=26,(1,2)=49,(2,4)=60,(0,2)=81,(1,4)=87,(1,3)=91,(0,4)=93,(0,1)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=21\",\"Find(3)=2, Find(4)=4, Add (3,4)=26 Succeeded, w=47\",\"Find(1)=1, Find(2)=2, Add (1,2)=49 Succeeded, w=96\",\"Find(2)=2, Find(4)=2, Add (2,4)=60 Failed, w=96\",\"Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=96\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=96\",\"Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=96\",\"Find(0)=2, Find(4)=2, Add (0,4)=93 Failed, w=96\",\"Find(0)=2, Find(1)=2, Add (0,1)=94 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,81],[0,3,20],[0,4,93],[1,2,49],[1,3,91],[1,4,87],[2,3,1],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=20,(3,4)=26,(1,2)=49,(2,4)=60,(0,2)=81,(1,4)=87,(1,3)=91,(0,4)=93,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=26 Succeeded, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=49 Succeeded, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=60 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=93 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=94 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,86],[0,2,65],[0,3,44],[0,4,8],[0,5,11],[0,6,73],[1,2,40],[1,3,77],[1,4,53],[1,5,34],[1,6,67],[2,3,47],[2,4,39],[2,5,76],[2,6,44],[3,4,86],[3,5,2],[3,6,80],[4,5,78],[4,6,63],[5,6,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,65],[0,3,44],[0,4,8],[0,5,11],[0,6,73],[1,2,40],[1,3,77],[1,4,53],[1,5,34],[1,6,67],[2,3,47],[2,4,39],[2,5,76],[2,6,44],[3,4,86],[3,5,2],[3,6,80],[4,5,78],[4,6,63],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,65],[0,3,44],[0,4,8],[0,5,11],[0,6,73],[1,2,40],[1,3,77],[1,4,53],[1,5,34],[1,6,67],[2,3,47],[2,4,39],[2,5,76],[2,6,44],[3,4,86],[3,5,2],[3,6,80],[4,5,78],[4,6,63],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (2,6)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,65],[0,3,44],[0,4,8],[0,5,11],[0,6,73],[1,2,40],[1,3,77],[1,4,53],[1,5,34],[1,6,67],[2,3,47],[2,4,39],[2,5,76],[2,6,44],[3,4,86],[3,5,2],[3,6,80],[4,5,78],[4,6,63],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (0,4)=8, w=10\",\"Add (0,5)=11, w=21\",\"Add (1,5)=34, w=55\",\"Add (2,4)=39, w=94\",\"Add (2,6)=44, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,65],[0,3,44],[0,4,8],[0,5,11],[0,6,73],[1,2,40],[1,3,77],[1,4,53],[1,5,34],[1,6,67],[2,3,47],[2,4,39],[2,5,76],[2,6,44],[3,4,86],[3,5,2],[3,6,80],[4,5,78],[4,6,63],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (0,4)=8 Succeeded, w=10\",\"Add (0,5)=11 Succeeded, w=21\",\"Add (1,5)=34 Succeeded, w=55\",\"Add (2,4)=39 Succeeded, w=94\",\"Add (1,2)=40 Failed, w=94\",\"Add (0,3)=44 Failed, w=94\",\"Add (2,6)=44 Succeeded, w=138\",\"Add (2,3)=47 Failed, w=138\",\"Add (1,4)=53 Failed, w=138\",\"Add (4,6)=63 Failed, w=138\",\"Add (0,2)=65 Failed, w=138\",\"Add (1,6)=67 Failed, w=138\",\"Add (5,6)=67 Failed, w=138\",\"Add (0,6)=73 Failed, w=138\",\"Add (2,5)=76 Failed, w=138\",\"Add (1,3)=77 Failed, w=138\",\"Add (4,5)=78 Failed, w=138\",\"Add (3,6)=80 Failed, w=138\",\"Add (0,1)=86 Failed, w=138\",\"Add (3,4)=86 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,65],[0,3,44],[0,4,8],[0,5,11],[0,6,73],[1,2,40],[1,3,77],[1,4,53],[1,5,34],[1,6,67],[2,3,47],[2,4,39],[2,5,76],[2,6,44],[3,4,86],[3,5,2],[3,6,80],[4,5,78],[4,6,63],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,4)=8,(0,5)=11,(1,5)=34,(2,4)=39,(1,2)=40,(0,3)=44,(2,6)=44,(2,3)=47,(1,4)=53,(4,6)=63,(0,2)=65,(1,6)=67,(5,6)=67,(0,6)=73,(2,5)=76,(1,3)=77,(4,5)=78,(3,6)=80,(0,1)=86,(3,4)=86]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=10\",\"Find(0)=0, Find(5)=3, Add (0,5)=11 Succeeded, w=21\",\"Find(1)=1, Find(5)=0, Add (1,5)=34 Succeeded, w=55\",\"Find(2)=2, Find(4)=0, Add (2,4)=39 Succeeded, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=94\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=94\",\"Find(2)=0, Find(6)=6, Add (2,6)=44 Succeeded, w=138\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=138\",\"Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=138\",\"Find(4)=0, Find(6)=0, Add (4,6)=63 Failed, w=138\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=138\",\"Find(1)=0, Find(6)=0, Add (1,6)=67 Failed, w=138\",\"Find(5)=0, Find(6)=0, Add (5,6)=67 Failed, w=138\",\"Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=138\",\"Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=138\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=138\",\"Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=138\",\"Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=138\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=138\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,65],[0,3,44],[0,4,8],[0,5,11],[0,6,73],[1,2,40],[1,3,77],[1,4,53],[1,5,34],[1,6,67],[2,3,47],[2,4,39],[2,5,76],[2,6,44],[3,4,86],[3,5,2],[3,6,80],[4,5,78],[4,6,63],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,4)=8,(0,5)=11,(1,5)=34,(2,4)=39,(1,2)=40,(0,3)=44,(2,6)=44,(2,3)=47,(1,4)=53,(4,6)=63,(0,2)=65,(1,6)=67,(5,6)=67,(0,6)=73,(2,5)=76,(1,3)=77,(4,5)=78,(3,6)=80,(0,1)=86,(3,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 3, 6: 6}, Find(0)=0, Find(5)=3, Add (0,5)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=34 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=2, Find(4)=0, Add (2,4)=39 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=44 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=138\",\"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=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=67 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=67 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,5,16],[1,3,49],[1,4,43],[1,5,56],[1,6,6],[3,4,56],[3,5,7],[3,6,80],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,16],[1,3,49],[1,4,43],[1,5,56],[1,6,6],[3,4,56],[3,5,7],[3,6,80],[5,6,37]]}",
"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\":[[0,5,16],[1,3,49],[1,4,43],[1,5,56],[1,6,6],[3,4,56],[3,5,7],[3,6,80],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (1,4)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,16],[1,3,49],[1,4,43],[1,5,56],[1,6,6],[3,4,56],[3,5,7],[3,6,80],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=6, w=6\",\"Add (3,5)=7, w=13\",\"Add (0,5)=16, w=29\",\"Add (5,6)=37, w=66\",\"Add (1,4)=43, 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\":[[0,5,16],[1,3,49],[1,4,43],[1,5,56],[1,6,6],[3,4,56],[3,5,7],[3,6,80],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=6 Succeeded, w=6\",\"Add (3,5)=7 Succeeded, w=13\",\"Add (0,5)=16 Succeeded, w=29\",\"Add (5,6)=37 Succeeded, w=66\",\"Add (1,4)=43 Succeeded, w=109\",\"Add (1,3)=49 Failed, w=109\",\"Add (1,5)=56 Failed, w=109\",\"Add (3,4)=56 Failed, w=109\",\"Add (3,6)=80 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\":[[0,5,16],[1,3,49],[1,4,43],[1,5,56],[1,6,6],[3,4,56],[3,5,7],[3,6,80],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=6,(3,5)=7,(0,5)=16,(5,6)=37,(1,4)=43,(1,3)=49,(1,5)=56,(3,4)=56,(3,6)=80]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=13\",\"Find(0)=0, Find(5)=3, Add (0,5)=16 Succeeded, w=29\",\"Find(5)=3, Find(6)=1, Add (5,6)=37 Succeeded, w=66\",\"Find(1)=3, Find(4)=4, Add (1,4)=43 Succeeded, w=109\",\"Find(1)=3, Find(3)=3, Add (1,3)=49 Failed, w=109\",\"Find(1)=3, Find(5)=3, Add (1,5)=56 Failed, w=109\",\"Find(3)=3, Find(4)=3, Add (3,4)=56 Failed, w=109\",\"Find(3)=3, Find(6)=3, Add (3,6)=80 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\":[[0,5,16],[1,3,49],[1,4,43],[1,5,56],[1,6,6],[3,4,56],[3,5,7],[3,6,80],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=6,(3,5)=7,(0,5)=16,(5,6)=37,(1,4)=43,(1,3)=49,(1,5)=56,(3,4)=56,(3,6)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=13\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1}, Find(0)=0, Find(5)=3, Add (0,5)=16 Succeeded, w=29\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1}, Find(5)=3, Find(6)=1, Add (5,6)=37 Succeeded, w=66\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=3, Find(4)=4, Add (1,4)=43 Succeeded, w=109\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=3, Find(3)=3, Add (1,3)=49 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=3, Find(5)=3, Add (1,5)=56 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1}, Find(3)=3, Find(4)=3, Add (3,4)=56 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=80 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,72],[0,4,45],[1,4,91],[2,3,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,72],[0,4,45],[1,4,91],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,72],[0,4,45],[1,4,91],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,72],[0,4,45],[1,4,91],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=44, w=44\",\"Add (0,4)=45, w=89\",\"Add (0,1)=66, w=155\",\"Add (0,2)=72, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,72],[0,4,45],[1,4,91],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=44 Succeeded, w=44\",\"Add (0,4)=45 Succeeded, w=89\",\"Add (0,1)=66 Succeeded, w=155\",\"Add (0,2)=72 Succeeded, w=227\",\"Add (1,4)=91 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,72],[0,4,45],[1,4,91],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=44,(0,4)=45,(0,1)=66,(0,2)=72,(1,4)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=44 Succeeded, w=44\",\"Find(0)=0, Find(4)=4, Add (0,4)=45 Succeeded, w=89\",\"Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=155\",\"Find(0)=0, Find(2)=2, Add (0,2)=72 Succeeded, w=227\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,72],[0,4,45],[1,4,91],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=44,(0,4)=45,(0,1)=66,(0,2)=72,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=44 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=45 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=72 Succeeded, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,29],[0,2,92],[0,6,75],[1,2,85],[1,3,51],[1,4,84],[1,5,97],[1,6,12],[2,3,8],[2,4,55],[2,6,30],[3,4,66],[3,5,31],[3,6,12],[4,5,9],[4,6,26],[5,6,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,92],[0,6,75],[1,2,85],[1,3,51],[1,4,84],[1,5,97],[1,6,12],[2,3,8],[2,4,55],[2,6,30],[3,4,66],[3,5,31],[3,6,12],[4,5,9],[4,6,26],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,92],[0,6,75],[1,2,85],[1,3,51],[1,4,84],[1,5,97],[1,6,12],[2,3,8],[2,4,55],[2,6,30],[3,4,66],[3,5,31],[3,6,12],[4,5,9],[4,6,26],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (0,1)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,92],[0,6,75],[1,2,85],[1,3,51],[1,4,84],[1,5,97],[1,6,12],[2,3,8],[2,4,55],[2,6,30],[3,4,66],[3,5,31],[3,6,12],[4,5,9],[4,6,26],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (4,5)=9, w=17\",\"Add (1,6)=12, w=29\",\"Add (3,6)=12, w=41\",\"Add (4,6)=26, w=67\",\"Add (0,1)=29, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,92],[0,6,75],[1,2,85],[1,3,51],[1,4,84],[1,5,97],[1,6,12],[2,3,8],[2,4,55],[2,6,30],[3,4,66],[3,5,31],[3,6,12],[4,5,9],[4,6,26],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (4,5)=9 Succeeded, w=17\",\"Add (1,6)=12 Succeeded, w=29\",\"Add (3,6)=12 Succeeded, w=41\",\"Add (4,6)=26 Succeeded, w=67\",\"Add (0,1)=29 Succeeded, w=96\",\"Add (2,6)=30 Failed, w=96\",\"Add (3,5)=31 Failed, w=96\",\"Add (1,3)=51 Failed, w=96\",\"Add (2,4)=55 Failed, w=96\",\"Add (3,4)=66 Failed, w=96\",\"Add (0,6)=75 Failed, w=96\",\"Add (1,4)=84 Failed, w=96\",\"Add (1,2)=85 Failed, w=96\",\"Add (5,6)=88 Failed, w=96\",\"Add (0,2)=92 Failed, w=96\",\"Add (1,5)=97 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,92],[0,6,75],[1,2,85],[1,3,51],[1,4,84],[1,5,97],[1,6,12],[2,3,8],[2,4,55],[2,6,30],[3,4,66],[3,5,31],[3,6,12],[4,5,9],[4,6,26],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(4,5)=9,(1,6)=12,(3,6)=12,(4,6)=26,(0,1)=29,(2,6)=30,(3,5)=31,(1,3)=51,(2,4)=55,(3,4)=66,(0,6)=75,(1,4)=84,(1,2)=85,(5,6)=88,(0,2)=92,(1,5)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=17\",\"Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=29\",\"Find(3)=2, Find(6)=1, Add (3,6)=12 Succeeded, w=41\",\"Find(4)=4, Find(6)=2, Add (4,6)=26 Succeeded, w=67\",\"Find(0)=0, Find(1)=2, Add (0,1)=29 Succeeded, w=96\",\"Find(2)=2, Find(6)=2, Add (2,6)=30 Failed, w=96\",\"Find(3)=2, Find(5)=2, Add (3,5)=31 Failed, w=96\",\"Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=96\",\"Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=96\",\"Find(3)=2, Find(4)=2, Add (3,4)=66 Failed, w=96\",\"Find(0)=2, Find(6)=2, Add (0,6)=75 Failed, w=96\",\"Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=96\",\"Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=96\",\"Find(5)=2, Find(6)=2, Add (5,6)=88 Failed, w=96\",\"Find(0)=2, Find(2)=2, Add (0,2)=92 Failed, w=96\",\"Find(1)=2, Find(5)=2, Add (1,5)=97 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,92],[0,6,75],[1,2,85],[1,3,51],[1,4,84],[1,5,97],[1,6,12],[2,3,8],[2,4,55],[2,6,30],[3,4,66],[3,5,31],[3,6,12],[4,5,9],[4,6,26],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(4,5)=9,(1,6)=12,(3,6)=12,(4,6)=26,(0,1)=29,(2,6)=30,(3,5)=31,(1,3)=51,(2,4)=55,(3,4)=66,(0,6)=75,(1,4)=84,(1,2)=85,(5,6)=88,(0,2)=92,(1,5)=97]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=29\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4, 6: 1}, Find(3)=2, Find(6)=1, Add (3,6)=12 Succeeded, w=41\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=26 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(0)=0, Find(1)=2, Add (0,1)=29 Succeeded, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=30 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=31 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=55 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=66 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=75 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=84 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=88 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=92 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=97 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,85],[0,2,87],[0,3,93],[0,4,55],[1,2,74],[1,3,93],[1,4,10],[2,3,52],[2,4,94],[3,4,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,87],[0,3,93],[0,4,55],[1,2,74],[1,3,93],[1,4,10],[2,3,52],[2,4,94],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,87],[0,3,93],[0,4,55],[1,2,74],[1,3,93],[1,4,10],[2,3,52],[2,4,94],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,87],[0,3,93],[0,4,55],[1,2,74],[1,3,93],[1,4,10],[2,3,52],[2,4,94],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10, w=10\",\"Add (2,3)=52, w=62\",\"Add (0,4)=55, w=117\",\"Add (1,2)=74, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,87],[0,3,93],[0,4,55],[1,2,74],[1,3,93],[1,4,10],[2,3,52],[2,4,94],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10 Succeeded, w=10\",\"Add (2,3)=52 Succeeded, w=62\",\"Add (0,4)=55 Succeeded, w=117\",\"Add (1,2)=74 Succeeded, w=191\",\"Add (0,1)=85 Failed, w=191\",\"Add (0,2)=87 Failed, w=191\",\"Add (0,3)=93 Failed, w=191\",\"Add (1,3)=93 Failed, w=191\",\"Add (2,4)=94 Failed, w=191\",\"Add (3,4)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,87],[0,3,93],[0,4,55],[1,2,74],[1,3,93],[1,4,10],[2,3,52],[2,4,94],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(2,3)=52,(0,4)=55,(1,2)=74,(0,1)=85,(0,2)=87,(0,3)=93,(1,3)=93,(2,4)=94,(3,4)=96]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=62\",\"Find(0)=0, Find(4)=1, Add (0,4)=55 Succeeded, w=117\",\"Find(1)=1, Find(2)=2, Add (1,2)=74 Succeeded, w=191\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=191\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=191\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=191\",\"Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=191\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=191\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,87],[0,3,93],[0,4,55],[1,2,74],[1,3,93],[1,4,10],[2,3,52],[2,4,94],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(2,3)=52,(0,4)=55,(1,2)=74,(0,1)=85,(0,2)=87,(0,3)=93,(1,3)=93,(2,4)=94,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=55 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=74 Succeeded, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,53],[0,2,1],[0,4,23],[0,5,5],[0,6,90],[1,3,77],[1,4,89],[1,5,62],[1,6,71],[2,4,85],[2,5,4],[2,6,71],[3,5,53],[3,6,54],[4,5,58],[4,6,75],[4,7,73],[5,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,1],[0,4,23],[0,5,5],[0,6,90],[1,3,77],[1,4,89],[1,5,62],[1,6,71],[2,4,85],[2,5,4],[2,6,71],[3,5,53],[3,6,54],[4,5,58],[4,6,75],[4,7,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,1],[0,4,23],[0,5,5],[0,6,90],[1,3,77],[1,4,89],[1,5,62],[1,6,71],[2,4,85],[2,5,4],[2,6,71],[3,5,53],[3,6,54],[4,5,58],[4,6,75],[4,7,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (4,7)\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,1],[0,4,23],[0,5,5],[0,6,90],[1,3,77],[1,4,89],[1,5,62],[1,6,71],[2,4,85],[2,5,4],[2,6,71],[3,5,53],[3,6,54],[4,5,58],[4,6,75],[4,7,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (5,6)=1, w=2\",\"Add (2,5)=4, w=6\",\"Add (0,4)=23, w=29\",\"Add (0,1)=53, w=82\",\"Add (3,5)=53, w=135\",\"Add (4,7)=73, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,1],[0,4,23],[0,5,5],[0,6,90],[1,3,77],[1,4,89],[1,5,62],[1,6,71],[2,4,85],[2,5,4],[2,6,71],[3,5,53],[3,6,54],[4,5,58],[4,6,75],[4,7,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (5,6)=1 Succeeded, w=2\",\"Add (2,5)=4 Succeeded, w=6\",\"Add (0,5)=5 Failed, w=6\",\"Add (0,4)=23 Succeeded, w=29\",\"Add (0,1)=53 Succeeded, w=82\",\"Add (3,5)=53 Succeeded, w=135\",\"Add (3,6)=54 Failed, w=135\",\"Add (4,5)=58 Failed, w=135\",\"Add (1,5)=62 Failed, w=135\",\"Add (1,6)=71 Failed, w=135\",\"Add (2,6)=71 Failed, w=135\",\"Add (4,7)=73 Succeeded, w=208\",\"Add (4,6)=75 Failed, w=208\",\"Add (1,3)=77 Failed, w=208\",\"Add (2,4)=85 Failed, w=208\",\"Add (1,4)=89 Failed, w=208\",\"Add (0,6)=90 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,1],[0,4,23],[0,5,5],[0,6,90],[1,3,77],[1,4,89],[1,5,62],[1,6,71],[2,4,85],[2,5,4],[2,6,71],[3,5,53],[3,6,54],[4,5,58],[4,6,75],[4,7,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(5,6)=1,(2,5)=4,(0,5)=5,(0,4)=23,(0,1)=53,(3,5)=53,(3,6)=54,(4,5)=58,(1,5)=62,(1,6)=71,(2,6)=71,(4,7)=73,(4,6)=75,(1,3)=77,(2,4)=85,(1,4)=89,(0,6)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=2\",\"Find(2)=0, Find(5)=5, Add (2,5)=4 Succeeded, w=6\",\"Find(0)=0, Find(5)=0, Add (0,5)=5 Failed, w=6\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=82\",\"Find(3)=3, Find(5)=0, Add (3,5)=53 Succeeded, w=135\",\"Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=135\",\"Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=135\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=135\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=135\",\"Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=135\",\"Find(4)=0, Find(7)=7, Add (4,7)=73 Succeeded, w=208\",\"Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=208\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=208\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=208\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=208\",\"Find(0)=0, Find(6)=0, Add (0,6)=90 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,53],[0,2,1],[0,4,23],[0,5,5],[0,6,90],[1,3,77],[1,4,89],[1,5,62],[1,6,71],[2,4,85],[2,5,4],[2,6,71],[3,5,53],[3,6,54],[4,5,58],[4,6,75],[4,7,73],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(5,6)=1,(2,5)=4,(0,5)=5,(0,4)=23,(0,1)=53,(3,5)=53,(3,6)=54,(4,5)=58,(1,5)=62,(1,6)=71,(2,6)=71,(4,7)=73,(4,6)=75,(1,3)=77,(2,4)=85,(1,4)=89,(0,6)=90]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 5, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=5 Failed, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 7}, Find(3)=3, Find(5)=0, Add (3,5)=53 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=73 Succeeded, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=208\",\"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)=77 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=208\",\"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)=89 Failed, w=208\",\"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)=90 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,44],[0,2,89],[1,2,15],[1,5,23],[1,6,82],[2,4,38],[2,5,4],[2,7,76],[3,4,20],[3,7,29],[5,7,88],[6,7,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,89],[1,2,15],[1,5,23],[1,6,82],[2,4,38],[2,5,4],[2,7,76],[3,4,20],[3,7,29],[5,7,88],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,89],[1,2,15],[1,5,23],[1,6,82],[2,4,38],[2,5,4],[2,7,76],[3,4,20],[3,7,29],[5,7,88],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (3,7)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (6,7)\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,89],[1,2,15],[1,5,23],[1,6,82],[2,4,38],[2,5,4],[2,7,76],[3,4,20],[3,7,29],[5,7,88],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (1,2)=15, w=19\",\"Add (3,4)=20, w=39\",\"Add (3,7)=29, w=68\",\"Add (2,4)=38, w=106\",\"Add (0,1)=44, w=150\",\"Add (6,7)=66, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,89],[1,2,15],[1,5,23],[1,6,82],[2,4,38],[2,5,4],[2,7,76],[3,4,20],[3,7,29],[5,7,88],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (1,2)=15 Succeeded, w=19\",\"Add (3,4)=20 Succeeded, w=39\",\"Add (1,5)=23 Failed, w=39\",\"Add (3,7)=29 Succeeded, w=68\",\"Add (2,4)=38 Succeeded, w=106\",\"Add (0,1)=44 Succeeded, w=150\",\"Add (6,7)=66 Succeeded, w=216\",\"Add (2,7)=76 Failed, w=216\",\"Add (1,6)=82 Failed, w=216\",\"Add (5,7)=88 Failed, w=216\",\"Add (0,2)=89 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,89],[1,2,15],[1,5,23],[1,6,82],[2,4,38],[2,5,4],[2,7,76],[3,4,20],[3,7,29],[5,7,88],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(1,2)=15,(3,4)=20,(1,5)=23,(3,7)=29,(2,4)=38,(0,1)=44,(6,7)=66,(2,7)=76,(1,6)=82,(5,7)=88,(0,2)=89]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=39\",\"Find(1)=2, Find(5)=2, Add (1,5)=23 Failed, w=39\",\"Find(3)=3, Find(7)=7, Add (3,7)=29 Succeeded, w=68\",\"Find(2)=2, Find(4)=3, Add (2,4)=38 Succeeded, w=106\",\"Find(0)=0, Find(1)=2, Add (0,1)=44 Succeeded, w=150\",\"Find(6)=6, Find(7)=2, Add (6,7)=66 Succeeded, w=216\",\"Find(2)=2, Find(7)=2, Add (2,7)=76 Failed, w=216\",\"Find(1)=2, Find(6)=2, Add (1,6)=82 Failed, w=216\",\"Find(5)=2, Find(7)=2, Add (5,7)=88 Failed, w=216\",\"Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,89],[1,2,15],[1,5,23],[1,6,82],[2,4,38],[2,5,4],[2,7,76],[3,4,20],[3,7,29],[5,7,88],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(1,2)=15,(3,4)=20,(1,5)=23,(3,7)=29,(2,4)=38,(0,1)=44,(6,7)=66,(2,7)=76,(1,6)=82,(5,7)=88,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=39\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6, 7: 7}, Find(1)=2, Find(5)=2, Add (1,5)=23 Failed, w=39\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=29 Succeeded, w=68\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6, 7: 3}, Find(2)=2, Find(4)=3, Add (2,4)=38 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6, 7: 3}, Find(0)=0, Find(1)=2, Add (0,1)=44 Succeeded, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=66 Succeeded, w=216\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=76 Failed, w=216\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=82 Failed, w=216\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=88 Failed, w=216\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,4,64],[1,2,87],[1,3,53],[2,3,18],[2,4,88],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,4,64],[1,2,87],[1,3,53],[2,3,18],[2,4,88],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,4,64],[1,2,87],[1,3,53],[2,3,18],[2,4,88],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,4,64],[1,2,87],[1,3,53],[2,3,18],[2,4,88],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (2,3)=18, w=21\",\"Add (1,3)=53, w=74\",\"Add (0,4)=64, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,4,64],[1,2,87],[1,3,53],[2,3,18],[2,4,88],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (2,3)=18 Succeeded, w=21\",\"Add (1,3)=53 Succeeded, w=74\",\"Add (0,4)=64 Succeeded, w=138\",\"Add (0,1)=65 Failed, w=138\",\"Add (1,2)=87 Failed, w=138\",\"Add (2,4)=88 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,4,64],[1,2,87],[1,3,53],[2,3,18],[2,4,88],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,3)=18,(1,3)=53,(0,4)=64,(0,1)=65,(1,2)=87,(2,4)=88]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=74\",\"Find(0)=0, Find(4)=3, Add (0,4)=64 Succeeded, w=138\",\"Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=138\",\"Find(1)=3, Find(2)=3, Add (1,2)=87 Failed, w=138\",\"Find(2)=3, Find(4)=3, Add (2,4)=88 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,4,64],[1,2,87],[1,3,53],[2,3,18],[2,4,88],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,3)=18,(1,3)=53,(0,4)=64,(0,1)=65,(1,2)=87,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=21\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=64 Succeeded, w=138\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=138\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=87 Failed, w=138\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=88 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,64],[0,2,52],[0,3,61],[0,4,86],[0,5,65],[1,2,12],[1,4,40],[2,3,86],[2,4,56],[2,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,52],[0,3,61],[0,4,86],[0,5,65],[1,2,12],[1,4,40],[2,3,86],[2,4,56],[2,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,52],[0,3,61],[0,4,86],[0,5,65],[1,2,12],[1,4,40],[2,3,86],[2,4,56],[2,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,52],[0,3,61],[0,4,86],[0,5,65],[1,2,12],[1,4,40],[2,3,86],[2,4,56],[2,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5, w=5\",\"Add (1,2)=12, w=17\",\"Add (1,4)=40, w=57\",\"Add (0,2)=52, w=109\",\"Add (0,3)=61, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,52],[0,3,61],[0,4,86],[0,5,65],[1,2,12],[1,4,40],[2,3,86],[2,4,56],[2,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5 Succeeded, w=5\",\"Add (1,2)=12 Succeeded, w=17\",\"Add (1,4)=40 Succeeded, w=57\",\"Add (0,2)=52 Succeeded, w=109\",\"Add (2,4)=56 Failed, w=109\",\"Add (0,3)=61 Succeeded, w=170\",\"Add (0,1)=64 Failed, w=170\",\"Add (0,5)=65 Failed, w=170\",\"Add (0,4)=86 Failed, w=170\",\"Add (2,3)=86 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,52],[0,3,61],[0,4,86],[0,5,65],[1,2,12],[1,4,40],[2,3,86],[2,4,56],[2,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(1,2)=12,(1,4)=40,(0,2)=52,(2,4)=56,(0,3)=61,(0,1)=64,(0,5)=65,(0,4)=86,(2,3)=86]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=17\",\"Find(1)=2, Find(4)=4, Add (1,4)=40 Succeeded, w=57\",\"Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=109\",\"Find(2)=2, Find(4)=2, Add (2,4)=56 Failed, w=109\",\"Find(0)=2, Find(3)=3, Add (0,3)=61 Succeeded, w=170\",\"Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=170\",\"Find(0)=2, Find(5)=2, Add (0,5)=65 Failed, w=170\",\"Find(0)=2, Find(4)=2, Add (0,4)=86 Failed, w=170\",\"Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,64],[0,2,52],[0,3,61],[0,4,86],[0,5,65],[1,2,12],[1,4,40],[2,3,86],[2,4,56],[2,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(1,2)=12,(1,4)=40,(0,2)=52,(2,4)=56,(0,3)=61,(0,1)=64,(0,5)=65,(0,4)=86,(2,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(4)=4, Add (1,4)=40 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=56 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=3, Add (0,3)=61 Succeeded, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=65 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=86 Failed, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,84],[0,3,52],[0,5,52],[1,2,55],[1,3,21],[1,5,84],[2,3,95],[2,5,69],[3,4,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,52],[0,5,52],[1,2,55],[1,3,21],[1,5,84],[2,3,95],[2,5,69],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,52],[0,5,52],[1,2,55],[1,3,21],[1,5,84],[2,3,95],[2,5,69],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,52],[0,5,52],[1,2,55],[1,3,21],[1,5,84],[2,3,95],[2,5,69],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21, w=21\",\"Add (3,4)=33, w=54\",\"Add (0,3)=52, w=106\",\"Add (0,5)=52, w=158\",\"Add (1,2)=55, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,52],[0,5,52],[1,2,55],[1,3,21],[1,5,84],[2,3,95],[2,5,69],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21 Succeeded, w=21\",\"Add (3,4)=33 Succeeded, w=54\",\"Add (0,3)=52 Succeeded, w=106\",\"Add (0,5)=52 Succeeded, w=158\",\"Add (1,2)=55 Succeeded, w=213\",\"Add (2,5)=69 Failed, w=213\",\"Add (0,2)=84 Failed, w=213\",\"Add (1,5)=84 Failed, w=213\",\"Add (2,3)=95 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,52],[0,5,52],[1,2,55],[1,3,21],[1,5,84],[2,3,95],[2,5,69],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(3,4)=33,(0,3)=52,(0,5)=52,(1,2)=55,(2,5)=69,(0,2)=84,(1,5)=84,(2,3)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Find(3)=1, Find(4)=4, Add (3,4)=33 Succeeded, w=54\",\"Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=106\",\"Find(0)=1, Find(5)=5, Add (0,5)=52 Succeeded, w=158\",\"Find(1)=1, Find(2)=2, Add (1,2)=55 Succeeded, w=213\",\"Find(2)=1, Find(5)=1, Add (2,5)=69 Failed, w=213\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=213\",\"Find(1)=1, Find(5)=1, Add (1,5)=84 Failed, w=213\",\"Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,52],[0,5,52],[1,2,55],[1,3,21],[1,5,84],[2,3,95],[2,5,69],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(3,4)=33,(0,3)=52,(0,5)=52,(1,2)=55,(2,5)=69,(0,2)=84,(1,5)=84,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=33 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=52 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=55 Succeeded, w=213\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=69 Failed, w=213\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=213\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=84 Failed, w=213\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,80],[0,2,1],[0,3,41],[0,4,67],[0,5,76],[1,2,50],[1,3,45],[1,4,71],[1,5,34],[2,3,32],[2,4,13],[2,5,30],[3,4,2],[3,5,91],[4,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,1],[0,3,41],[0,4,67],[0,5,76],[1,2,50],[1,3,45],[1,4,71],[1,5,34],[2,3,32],[2,4,13],[2,5,30],[3,4,2],[3,5,91],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,1],[0,3,41],[0,4,67],[0,5,76],[1,2,50],[1,3,45],[1,4,71],[1,5,34],[2,3,32],[2,4,13],[2,5,30],[3,4,2],[3,5,91],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,5)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,1],[0,3,41],[0,4,67],[0,5,76],[1,2,50],[1,3,45],[1,4,71],[1,5,34],[2,3,32],[2,4,13],[2,5,30],[3,4,2],[3,5,91],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (3,4)=2, w=3\",\"Add (2,4)=13, w=16\",\"Add (4,5)=15, w=31\",\"Add (1,5)=34, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,1],[0,3,41],[0,4,67],[0,5,76],[1,2,50],[1,3,45],[1,4,71],[1,5,34],[2,3,32],[2,4,13],[2,5,30],[3,4,2],[3,5,91],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (3,4)=2 Succeeded, w=3\",\"Add (2,4)=13 Succeeded, w=16\",\"Add (4,5)=15 Succeeded, w=31\",\"Add (2,5)=30 Failed, w=31\",\"Add (2,3)=32 Failed, w=31\",\"Add (1,5)=34 Succeeded, w=65\",\"Add (0,3)=41 Failed, w=65\",\"Add (1,3)=45 Failed, w=65\",\"Add (1,2)=50 Failed, w=65\",\"Add (0,4)=67 Failed, w=65\",\"Add (1,4)=71 Failed, w=65\",\"Add (0,5)=76 Failed, w=65\",\"Add (0,1)=80 Failed, w=65\",\"Add (3,5)=91 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,1],[0,3,41],[0,4,67],[0,5,76],[1,2,50],[1,3,45],[1,4,71],[1,5,34],[2,3,32],[2,4,13],[2,5,30],[3,4,2],[3,5,91],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(3,4)=2,(2,4)=13,(4,5)=15,(2,5)=30,(2,3)=32,(1,5)=34,(0,3)=41,(1,3)=45,(1,2)=50,(0,4)=67,(1,4)=71,(0,5)=76,(0,1)=80,(3,5)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=3\",\"Find(2)=0, Find(4)=3, Add (2,4)=13 Succeeded, w=16\",\"Find(4)=0, Find(5)=5, Add (4,5)=15 Succeeded, w=31\",\"Find(2)=0, Find(5)=0, Add (2,5)=30 Failed, w=31\",\"Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=31\",\"Find(1)=1, Find(5)=0, Add (1,5)=34 Succeeded, w=65\",\"Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=65\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=65\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=65\",\"Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=65\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=65\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=65\",\"Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=65\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,2,1],[0,3,41],[0,4,67],[0,5,76],[1,2,50],[1,3,45],[1,4,71],[1,5,34],[2,3,32],[2,4,13],[2,5,30],[3,4,2],[3,5,91],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(3,4)=2,(2,4)=13,(4,5)=15,(2,5)=30,(2,3)=32,(1,5)=34,(0,3)=41,(1,3)=45,(1,2)=50,(0,4)=67,(1,4)=71,(0,5)=76,(0,1)=80,(3,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 5}, Find(2)=0, Find(4)=3, Add (2,4)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=15 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=30 Failed, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=34 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,21],[0,2,70],[0,3,76],[1,2,0],[1,3,74],[1,4,57],[2,3,32],[2,4,88],[3,4,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,70],[0,3,76],[1,2,0],[1,3,74],[1,4,57],[2,3,32],[2,4,88],[3,4,64]]}",
"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\":[[0,1,21],[0,2,70],[0,3,76],[1,2,0],[1,3,74],[1,4,57],[2,3,32],[2,4,88],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,70],[0,3,76],[1,2,0],[1,3,74],[1,4,57],[2,3,32],[2,4,88],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,1)=21, w=21\",\"Add (2,3)=32, w=53\",\"Add (1,4)=57, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,70],[0,3,76],[1,2,0],[1,3,74],[1,4,57],[2,3,32],[2,4,88],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,1)=21 Succeeded, w=21\",\"Add (2,3)=32 Succeeded, w=53\",\"Add (1,4)=57 Succeeded, w=110\",\"Add (3,4)=64 Failed, w=110\",\"Add (0,2)=70 Failed, w=110\",\"Add (1,3)=74 Failed, w=110\",\"Add (0,3)=76 Failed, w=110\",\"Add (2,4)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,70],[0,3,76],[1,2,0],[1,3,74],[1,4,57],[2,3,32],[2,4,88],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,1)=21,(2,3)=32,(1,4)=57,(3,4)=64,(0,2)=70,(1,3)=74,(0,3)=76,(2,4)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=21\",\"Find(2)=1, Find(3)=3, Add (2,3)=32 Succeeded, w=53\",\"Find(1)=1, Find(4)=4, Add (1,4)=57 Succeeded, w=110\",\"Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=110\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=110\",\"Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=110\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=110\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,70],[0,3,76],[1,2,0],[1,3,74],[1,4,57],[2,3,32],[2,4,88],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,1)=21,(2,3)=32,(1,4)=57,(3,4)=64,(0,2)=70,(1,3)=74,(0,3)=76,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=32 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=57 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,77],[0,2,77],[0,3,67],[0,4,64],[0,5,27],[0,6,65],[0,7,3],[1,2,47],[1,3,93],[1,4,49],[1,5,27],[1,6,1],[1,7,54],[2,3,49],[2,4,21],[2,5,73],[2,6,14],[3,4,64],[3,5,44],[3,6,12],[3,7,18],[4,6,90],[4,7,23],[5,6,50],[5,7,95],[6,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,67],[0,4,64],[0,5,27],[0,6,65],[0,7,3],[1,2,47],[1,3,93],[1,4,49],[1,5,27],[1,6,1],[1,7,54],[2,3,49],[2,4,21],[2,5,73],[2,6,14],[3,4,64],[3,5,44],[3,6,12],[3,7,18],[4,6,90],[4,7,23],[5,6,50],[5,7,95],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,67],[0,4,64],[0,5,27],[0,6,65],[0,7,3],[1,2,47],[1,3,93],[1,4,49],[1,5,27],[1,6,1],[1,7,54],[2,3,49],[2,4,21],[2,5,73],[2,6,14],[3,4,64],[3,5,44],[3,6,12],[3,7,18],[4,6,90],[4,7,23],[5,6,50],[5,7,95],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,7)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (3,7)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,67],[0,4,64],[0,5,27],[0,6,65],[0,7,3],[1,2,47],[1,3,93],[1,4,49],[1,5,27],[1,6,1],[1,7,54],[2,3,49],[2,4,21],[2,5,73],[2,6,14],[3,4,64],[3,5,44],[3,6,12],[3,7,18],[4,6,90],[4,7,23],[5,6,50],[5,7,95],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (0,7)=3, w=4\",\"Add (3,6)=12, w=16\",\"Add (2,6)=14, w=30\",\"Add (3,7)=18, w=48\",\"Add (2,4)=21, w=69\",\"Add (0,5)=27, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,67],[0,4,64],[0,5,27],[0,6,65],[0,7,3],[1,2,47],[1,3,93],[1,4,49],[1,5,27],[1,6,1],[1,7,54],[2,3,49],[2,4,21],[2,5,73],[2,6,14],[3,4,64],[3,5,44],[3,6,12],[3,7,18],[4,6,90],[4,7,23],[5,6,50],[5,7,95],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (0,7)=3 Succeeded, w=4\",\"Add (3,6)=12 Succeeded, w=16\",\"Add (2,6)=14 Succeeded, w=30\",\"Add (3,7)=18 Succeeded, w=48\",\"Add (2,4)=21 Succeeded, w=69\",\"Add (4,7)=23 Failed, w=69\",\"Add (0,5)=27 Succeeded, w=96\",\"Add (1,5)=27 Failed, w=96\",\"Add (3,5)=44 Failed, w=96\",\"Add (1,2)=47 Failed, w=96\",\"Add (1,4)=49 Failed, w=96\",\"Add (2,3)=49 Failed, w=96\",\"Add (5,6)=50 Failed, w=96\",\"Add (1,7)=54 Failed, w=96\",\"Add (6,7)=59 Failed, w=96\",\"Add (0,4)=64 Failed, w=96\",\"Add (3,4)=64 Failed, w=96\",\"Add (0,6)=65 Failed, w=96\",\"Add (0,3)=67 Failed, w=96\",\"Add (2,5)=73 Failed, w=96\",\"Add (0,1)=77 Failed, w=96\",\"Add (0,2)=77 Failed, w=96\",\"Add (4,6)=90 Failed, w=96\",\"Add (1,3)=93 Failed, w=96\",\"Add (5,7)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,67],[0,4,64],[0,5,27],[0,6,65],[0,7,3],[1,2,47],[1,3,93],[1,4,49],[1,5,27],[1,6,1],[1,7,54],[2,3,49],[2,4,21],[2,5,73],[2,6,14],[3,4,64],[3,5,44],[3,6,12],[3,7,18],[4,6,90],[4,7,23],[5,6,50],[5,7,95],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(0,7)=3,(3,6)=12,(2,6)=14,(3,7)=18,(2,4)=21,(4,7)=23,(0,5)=27,(1,5)=27,(3,5)=44,(1,2)=47,(1,4)=49,(2,3)=49,(5,6)=50,(1,7)=54,(6,7)=59,(0,4)=64,(3,4)=64,(0,6)=65,(0,3)=67,(2,5)=73,(0,1)=77,(0,2)=77,(4,6)=90,(1,3)=93,(5,7)=95]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=4\",\"Find(3)=3, Find(6)=1, Add (3,6)=12 Succeeded, w=16\",\"Find(2)=2, Find(6)=1, Add (2,6)=14 Succeeded, w=30\",\"Find(3)=1, Find(7)=0, Add (3,7)=18 Succeeded, w=48\",\"Find(2)=1, Find(4)=4, Add (2,4)=21 Succeeded, w=69\",\"Find(4)=1, Find(7)=1, Add (4,7)=23 Failed, w=69\",\"Find(0)=1, Find(5)=5, Add (0,5)=27 Succeeded, w=96\",\"Find(1)=1, Find(5)=1, Add (1,5)=27 Failed, w=96\",\"Find(3)=1, Find(5)=1, Add (3,5)=44 Failed, w=96\",\"Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=96\",\"Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=96\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=96\",\"Find(5)=1, Find(6)=1, Add (5,6)=50 Failed, w=96\",\"Find(1)=1, Find(7)=1, Add (1,7)=54 Failed, w=96\",\"Find(6)=1, Find(7)=1, Add (6,7)=59 Failed, w=96\",\"Find(0)=1, Find(4)=1, Add (0,4)=64 Failed, w=96\",\"Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=96\",\"Find(0)=1, Find(6)=1, Add (0,6)=65 Failed, w=96\",\"Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=96\",\"Find(2)=1, Find(5)=1, Add (2,5)=73 Failed, w=96\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=96\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=96\",\"Find(4)=1, Find(6)=1, Add (4,6)=90 Failed, w=96\",\"Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=96\",\"Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,67],[0,4,64],[0,5,27],[0,6,65],[0,7,3],[1,2,47],[1,3,93],[1,4,49],[1,5,27],[1,6,1],[1,7,54],[2,3,49],[2,4,21],[2,5,73],[2,6,14],[3,4,64],[3,5,44],[3,6,12],[3,7,18],[4,6,90],[4,7,23],[5,6,50],[5,7,95],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(0,7)=3,(3,6)=12,(2,6)=14,(3,7)=18,(2,4)=21,(4,7)=23,(0,5)=27,(1,5)=27,(3,5)=44,(1,2)=47,(1,4)=49,(2,3)=49,(5,6)=50,(1,7)=54,(6,7)=59,(0,4)=64,(3,4)=64,(0,6)=65,(0,3)=67,(2,5)=73,(0,1)=77,(0,2)=77,(4,6)=90,(1,3)=93,(5,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 0}, Find(3)=3, Find(6)=1, Add (3,6)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 0}, Find(2)=2, Find(6)=1, Add (2,6)=14 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 0}, Find(3)=1, Find(7)=0, Add (3,7)=18 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 0}, Find(2)=1, Find(4)=4, Add (2,4)=21 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=23 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=5, Add (0,5)=27 Succeeded, w=96\",\"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)=27 Failed, w=96\",\"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)=44 Failed, w=96\",\"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)=47 Failed, w=96\",\"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)=49 Failed, w=96\",\"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)=49 Failed, w=96\",\"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)=50 Failed, w=96\",\"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)=54 Failed, w=96\",\"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)=59 Failed, w=96\",\"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)=64 Failed, w=96\",\"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)=64 Failed, w=96\",\"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)=65 Failed, w=96\",\"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=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=73 Failed, w=96\",\"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)=77 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=96\",\"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)=90 Failed, w=96\",\"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)=93 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,93],[0,4,25],[0,5,18],[0,6,34],[0,7,92],[1,4,70],[1,5,88],[1,6,2],[2,4,39],[2,5,36],[2,7,13],[3,4,4],[3,5,28],[3,7,65],[4,6,76],[4,7,27],[5,6,77],[6,7,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,93],[0,4,25],[0,5,18],[0,6,34],[0,7,92],[1,4,70],[1,5,88],[1,6,2],[2,4,39],[2,5,36],[2,7,13],[3,4,4],[3,5,28],[3,7,65],[4,6,76],[4,7,27],[5,6,77],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,93],[0,4,25],[0,5,18],[0,6,34],[0,7,92],[1,4,70],[1,5,88],[1,6,2],[2,4,39],[2,5,36],[2,7,13],[3,4,4],[3,5,28],[3,7,65],[4,6,76],[4,7,27],[5,6,77],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,4)\",\"Add (2,7)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (4,7)\",\"Add (0,6)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,93],[0,4,25],[0,5,18],[0,6,34],[0,7,92],[1,4,70],[1,5,88],[1,6,2],[2,4,39],[2,5,36],[2,7,13],[3,4,4],[3,5,28],[3,7,65],[4,6,76],[4,7,27],[5,6,77],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2, w=2\",\"Add (3,4)=4, w=6\",\"Add (2,7)=13, w=19\",\"Add (0,5)=18, w=37\",\"Add (0,4)=25, w=62\",\"Add (4,7)=27, w=89\",\"Add (0,6)=34, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,93],[0,4,25],[0,5,18],[0,6,34],[0,7,92],[1,4,70],[1,5,88],[1,6,2],[2,4,39],[2,5,36],[2,7,13],[3,4,4],[3,5,28],[3,7,65],[4,6,76],[4,7,27],[5,6,77],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2 Succeeded, w=2\",\"Add (3,4)=4 Succeeded, w=6\",\"Add (2,7)=13 Succeeded, w=19\",\"Add (0,5)=18 Succeeded, w=37\",\"Add (0,4)=25 Succeeded, w=62\",\"Add (4,7)=27 Succeeded, w=89\",\"Add (3,5)=28 Failed, w=89\",\"Add (0,6)=34 Succeeded, w=123\",\"Add (2,5)=36 Failed, w=123\",\"Add (2,4)=39 Failed, w=123\",\"Add (6,7)=46 Failed, w=123\",\"Add (3,7)=65 Failed, w=123\",\"Add (1,4)=70 Failed, w=123\",\"Add (4,6)=76 Failed, w=123\",\"Add (5,6)=77 Failed, w=123\",\"Add (1,5)=88 Failed, w=123\",\"Add (0,7)=92 Failed, w=123\",\"Add (0,3)=93 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,93],[0,4,25],[0,5,18],[0,6,34],[0,7,92],[1,4,70],[1,5,88],[1,6,2],[2,4,39],[2,5,36],[2,7,13],[3,4,4],[3,5,28],[3,7,65],[4,6,76],[4,7,27],[5,6,77],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(3,4)=4,(2,7)=13,(0,5)=18,(0,4)=25,(4,7)=27,(3,5)=28,(0,6)=34,(2,5)=36,(2,4)=39,(6,7)=46,(3,7)=65,(1,4)=70,(4,6)=76,(5,6)=77,(1,5)=88,(0,7)=92,(0,3)=93]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=6\",\"Find(2)=2, Find(7)=7, Add (2,7)=13 Succeeded, w=19\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=37\",\"Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=62\",\"Find(4)=0, Find(7)=2, Add (4,7)=27 Succeeded, w=89\",\"Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=89\",\"Find(0)=0, Find(6)=1, Add (0,6)=34 Succeeded, w=123\",\"Find(2)=0, Find(5)=0, Add (2,5)=36 Failed, w=123\",\"Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=123\",\"Find(6)=0, Find(7)=0, Add (6,7)=46 Failed, w=123\",\"Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=123\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=123\",\"Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=123\",\"Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=123\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=123\",\"Find(0)=0, Find(7)=0, Add (0,7)=92 Failed, w=123\",\"Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,93],[0,4,25],[0,5,18],[0,6,34],[0,7,92],[1,4,70],[1,5,88],[1,6,2],[2,4,39],[2,5,36],[2,7,13],[3,4,4],[3,5,28],[3,7,65],[4,6,76],[4,7,27],[5,6,77],[6,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(3,4)=4,(2,7)=13,(0,5)=18,(0,4)=25,(4,7)=27,(3,5)=28,(0,6)=34,(2,5)=36,(2,4)=39,(6,7)=46,(3,7)=65,(1,4)=70,(4,6)=76,(5,6)=77,(1,5)=88,(0,7)=92,(0,3)=93]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 1, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 1, 7: 2}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 3, 5: 0, 6: 1, 7: 2}, Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 2}, Find(4)=0, Find(7)=2, Add (4,7)=27 Succeeded, w=89\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 2}, Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 2}, Find(0)=0, Find(6)=1, Add (0,6)=34 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 2}, Find(2)=0, Find(5)=0, Add (2,5)=36 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 2}, Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=123\",\"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)=46 Failed, w=123\",\"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)=65 Failed, w=123\",\"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)=70 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=76 Failed, w=123\",\"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)=77 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=123\",\"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=123\",\"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)=93 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,3],[0,2,59],[0,3,56],[0,4,30],[0,5,48],[1,2,19],[1,3,88],[1,4,94],[1,5,94],[1,6,37],[2,3,36],[2,4,62],[2,5,7],[2,6,97],[3,4,59],[3,5,82],[3,6,52],[4,5,37],[5,6,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,59],[0,3,56],[0,4,30],[0,5,48],[1,2,19],[1,3,88],[1,4,94],[1,5,94],[1,6,37],[2,3,36],[2,4,62],[2,5,7],[2,6,97],[3,4,59],[3,5,82],[3,6,52],[4,5,37],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,59],[0,3,56],[0,4,30],[0,5,48],[1,2,19],[1,3,88],[1,4,94],[1,5,94],[1,6,37],[2,3,36],[2,4,62],[2,5,7],[2,6,97],[3,4,59],[3,5,82],[3,6,52],[4,5,37],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,59],[0,3,56],[0,4,30],[0,5,48],[1,2,19],[1,3,88],[1,4,94],[1,5,94],[1,6,37],[2,3,36],[2,4,62],[2,5,7],[2,6,97],[3,4,59],[3,5,82],[3,6,52],[4,5,37],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (0,1)=3, w=3\",\"Add (2,5)=7, w=10\",\"Add (1,2)=19, w=29\",\"Add (0,4)=30, w=59\",\"Add (2,3)=36, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,59],[0,3,56],[0,4,30],[0,5,48],[1,2,19],[1,3,88],[1,4,94],[1,5,94],[1,6,37],[2,3,36],[2,4,62],[2,5,7],[2,6,97],[3,4,59],[3,5,82],[3,6,52],[4,5,37],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (0,1)=3 Succeeded, w=3\",\"Add (2,5)=7 Succeeded, w=10\",\"Add (1,2)=19 Succeeded, w=29\",\"Add (0,4)=30 Succeeded, w=59\",\"Add (2,3)=36 Succeeded, w=95\",\"Add (1,6)=37 Failed, w=95\",\"Add (4,5)=37 Failed, w=95\",\"Add (0,5)=48 Failed, w=95\",\"Add (3,6)=52 Failed, w=95\",\"Add (0,3)=56 Failed, w=95\",\"Add (0,2)=59 Failed, w=95\",\"Add (3,4)=59 Failed, w=95\",\"Add (2,4)=62 Failed, w=95\",\"Add (3,5)=82 Failed, w=95\",\"Add (1,3)=88 Failed, w=95\",\"Add (1,4)=94 Failed, w=95\",\"Add (1,5)=94 Failed, w=95\",\"Add (2,6)=97 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,59],[0,3,56],[0,4,30],[0,5,48],[1,2,19],[1,3,88],[1,4,94],[1,5,94],[1,6,37],[2,3,36],[2,4,62],[2,5,7],[2,6,97],[3,4,59],[3,5,82],[3,6,52],[4,5,37],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(0,1)=3,(2,5)=7,(1,2)=19,(0,4)=30,(2,3)=36,(1,6)=37,(4,5)=37,(0,5)=48,(3,6)=52,(0,3)=56,(0,2)=59,(3,4)=59,(2,4)=62,(3,5)=82,(1,3)=88,(1,4)=94,(1,5)=94,(2,6)=97]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=10\",\"Find(1)=0, Find(2)=5, Add (1,2)=19 Succeeded, w=29\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=59\",\"Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=95\",\"Find(1)=0, Find(6)=0, Add (1,6)=37 Failed, w=95\",\"Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=95\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=95\",\"Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=95\",\"Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=95\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=95\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=95\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=95\",\"Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=95\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=95\",\"Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=95\",\"Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,2,59],[0,3,56],[0,4,30],[0,5,48],[1,2,19],[1,3,88],[1,4,94],[1,5,94],[1,6,37],[2,3,36],[2,4,62],[2,5,7],[2,6,97],[3,4,59],[3,5,82],[3,6,52],[4,5,37],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(0,1)=3,(2,5)=7,(1,2)=19,(0,4)=30,(2,3)=36,(1,6)=37,(4,5)=37,(0,5)=48,(3,6)=52,(0,3)=56,(0,2)=59,(3,4)=59,(2,4)=62,(3,5)=82,(1,3)=88,(1,4)=94,(1,5)=94,(2,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 4, 5: 0, 6: 5}, Find(1)=0, Find(2)=5, Add (1,2)=19 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=37 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=95\",\"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=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,5],[0,2,60],[0,3,98],[0,4,1],[0,5,64],[1,2,6],[1,3,77],[1,4,62],[1,5,42],[2,3,74],[2,4,35],[2,5,80],[3,4,35],[3,5,66],[4,5,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,60],[0,3,98],[0,4,1],[0,5,64],[1,2,6],[1,3,77],[1,4,62],[1,5,42],[2,3,74],[2,4,35],[2,5,80],[3,4,35],[3,5,66],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,60],[0,3,98],[0,4,1],[0,5,64],[1,2,6],[1,3,77],[1,4,62],[1,5,42],[2,3,74],[2,4,35],[2,5,80],[3,4,35],[3,5,66],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (4,5)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,60],[0,3,98],[0,4,1],[0,5,64],[1,2,6],[1,3,77],[1,4,62],[1,5,42],[2,3,74],[2,4,35],[2,5,80],[3,4,35],[3,5,66],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (0,1)=5, w=6\",\"Add (1,2)=6, w=12\",\"Add (3,4)=35, w=47\",\"Add (4,5)=36, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,60],[0,3,98],[0,4,1],[0,5,64],[1,2,6],[1,3,77],[1,4,62],[1,5,42],[2,3,74],[2,4,35],[2,5,80],[3,4,35],[3,5,66],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (0,1)=5 Succeeded, w=6\",\"Add (1,2)=6 Succeeded, w=12\",\"Add (2,4)=35 Failed, w=12\",\"Add (3,4)=35 Succeeded, w=47\",\"Add (4,5)=36 Succeeded, w=83\",\"Add (1,5)=42 Failed, w=83\",\"Add (0,2)=60 Failed, w=83\",\"Add (1,4)=62 Failed, w=83\",\"Add (0,5)=64 Failed, w=83\",\"Add (3,5)=66 Failed, w=83\",\"Add (2,3)=74 Failed, w=83\",\"Add (1,3)=77 Failed, w=83\",\"Add (2,5)=80 Failed, w=83\",\"Add (0,3)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,60],[0,3,98],[0,4,1],[0,5,64],[1,2,6],[1,3,77],[1,4,62],[1,5,42],[2,3,74],[2,4,35],[2,5,80],[3,4,35],[3,5,66],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,1)=5,(1,2)=6,(2,4)=35,(3,4)=35,(4,5)=36,(1,5)=42,(0,2)=60,(1,4)=62,(0,5)=64,(3,5)=66,(2,3)=74,(1,3)=77,(2,5)=80,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=6\",\"Find(1)=0, Find(2)=2, Add (1,2)=6 Succeeded, w=12\",\"Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=12\",\"Find(3)=3, Find(4)=0, Add (3,4)=35 Succeeded, w=47\",\"Find(4)=0, Find(5)=5, Add (4,5)=36 Succeeded, w=83\",\"Find(1)=0, Find(5)=0, Add (1,5)=42 Failed, w=83\",\"Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=83\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=83\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=83\",\"Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=83\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=83\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=83\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,60],[0,3,98],[0,4,1],[0,5,64],[1,2,6],[1,3,77],[1,4,62],[1,5,42],[2,3,74],[2,4,35],[2,5,80],[3,4,35],[3,5,66],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,1)=5,(1,2)=6,(2,4)=35,(3,4)=35,(4,5)=36,(1,5)=42,(0,2)=60,(1,4)=62,(0,5)=64,(3,5)=66,(2,3)=74,(1,3)=77,(2,5)=80,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(2)=2, Add (1,2)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(3)=3, Find(4)=0, Add (3,4)=35 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=36 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=42 Failed, w=83\",\"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=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[0,2,56],[0,3,87],[1,2,91],[1,3,97],[2,3,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,56],[0,3,87],[1,2,91],[1,3,97],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,56],[0,3,87],[1,2,91],[1,3,97],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,56],[0,3,87],[1,2,91],[1,3,97],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=41, w=41\",\"Add (2,3)=48, w=89\",\"Add (0,2)=56, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,56],[0,3,87],[1,2,91],[1,3,97],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=41 Succeeded, w=41\",\"Add (2,3)=48 Succeeded, w=89\",\"Add (0,2)=56 Succeeded, w=145\",\"Add (0,3)=87 Failed, w=145\",\"Add (1,2)=91 Failed, w=145\",\"Add (1,3)=97 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,56],[0,3,87],[1,2,91],[1,3,97],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=41,(2,3)=48,(0,2)=56,(0,3)=87,(1,2)=91,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=41\",\"Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=89\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=145\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=145\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,56],[0,3,87],[1,2,91],[1,3,97],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=41,(2,3)=48,(0,2)=56,(0,3)=87,(1,2)=91,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,3],[0,2,82],[0,3,42],[0,4,7],[1,2,70],[1,3,15],[2,3,35],[2,4,25],[3,4,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,82],[0,3,42],[0,4,7],[1,2,70],[1,3,15],[2,3,35],[2,4,25],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,82],[0,3,42],[0,4,7],[1,2,70],[1,3,15],[2,3,35],[2,4,25],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,82],[0,3,42],[0,4,7],[1,2,70],[1,3,15],[2,3,35],[2,4,25],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,4)=7, w=10\",\"Add (1,3)=15, w=25\",\"Add (2,4)=25, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,82],[0,3,42],[0,4,7],[1,2,70],[1,3,15],[2,3,35],[2,4,25],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,4)=7 Succeeded, w=10\",\"Add (1,3)=15 Succeeded, w=25\",\"Add (2,4)=25 Succeeded, w=50\",\"Add (2,3)=35 Failed, w=50\",\"Add (3,4)=38 Failed, w=50\",\"Add (0,3)=42 Failed, w=50\",\"Add (1,2)=70 Failed, w=50\",\"Add (0,2)=82 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,82],[0,3,42],[0,4,7],[1,2,70],[1,3,15],[2,3,35],[2,4,25],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,4)=7,(1,3)=15,(2,4)=25,(2,3)=35,(3,4)=38,(0,3)=42,(1,2)=70,(0,2)=82]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=10\",\"Find(1)=0, Find(3)=3, Add (1,3)=15 Succeeded, w=25\",\"Find(2)=2, Find(4)=0, Add (2,4)=25 Succeeded, w=50\",\"Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=50\",\"Find(3)=0, Find(4)=0, Add (3,4)=38 Failed, w=50\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=50\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=50\",\"Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,82],[0,3,42],[0,4,7],[1,2,70],[1,3,15],[2,3,35],[2,4,25],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,4)=7,(1,3)=15,(2,4)=25,(2,3)=35,(3,4)=38,(0,3)=42,(1,2)=70,(0,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=38 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,35],[0,3,68],[0,4,33],[0,5,77],[0,6,12],[0,7,100],[1,2,65],[1,3,36],[1,4,96],[1,5,32],[1,6,81],[2,3,30],[2,5,43],[3,4,24],[3,5,73],[3,7,85],[4,5,62],[4,6,96],[4,7,46],[5,6,27],[5,7,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,3,68],[0,4,33],[0,5,77],[0,6,12],[0,7,100],[1,2,65],[1,3,36],[1,4,96],[1,5,32],[1,6,81],[2,3,30],[2,5,43],[3,4,24],[3,5,73],[3,7,85],[4,5,62],[4,6,96],[4,7,46],[5,6,27],[5,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,3,68],[0,4,33],[0,5,77],[0,6,12],[0,7,100],[1,2,65],[1,3,36],[1,4,96],[1,5,32],[1,6,81],[2,3,30],[2,5,43],[3,4,24],[3,5,73],[3,7,85],[4,5,62],[4,6,96],[4,7,46],[5,6,27],[5,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (4,7)\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,3,68],[0,4,33],[0,5,77],[0,6,12],[0,7,100],[1,2,65],[1,3,36],[1,4,96],[1,5,32],[1,6,81],[2,3,30],[2,5,43],[3,4,24],[3,5,73],[3,7,85],[4,5,62],[4,6,96],[4,7,46],[5,6,27],[5,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=12, w=12\",\"Add (3,4)=24, w=36\",\"Add (5,6)=27, w=63\",\"Add (2,3)=30, w=93\",\"Add (1,5)=32, w=125\",\"Add (0,4)=33, w=158\",\"Add (4,7)=46, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,3,68],[0,4,33],[0,5,77],[0,6,12],[0,7,100],[1,2,65],[1,3,36],[1,4,96],[1,5,32],[1,6,81],[2,3,30],[2,5,43],[3,4,24],[3,5,73],[3,7,85],[4,5,62],[4,6,96],[4,7,46],[5,6,27],[5,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=12 Succeeded, w=12\",\"Add (3,4)=24 Succeeded, w=36\",\"Add (5,6)=27 Succeeded, w=63\",\"Add (2,3)=30 Succeeded, w=93\",\"Add (1,5)=32 Succeeded, w=125\",\"Add (0,4)=33 Succeeded, w=158\",\"Add (0,1)=35 Failed, w=158\",\"Add (1,3)=36 Failed, w=158\",\"Add (2,5)=43 Failed, w=158\",\"Add (4,7)=46 Succeeded, w=204\",\"Add (4,5)=62 Failed, w=204\",\"Add (1,2)=65 Failed, w=204\",\"Add (0,3)=68 Failed, w=204\",\"Add (3,5)=73 Failed, w=204\",\"Add (0,5)=77 Failed, w=204\",\"Add (5,7)=78 Failed, w=204\",\"Add (1,6)=81 Failed, w=204\",\"Add (3,7)=85 Failed, w=204\",\"Add (1,4)=96 Failed, w=204\",\"Add (4,6)=96 Failed, w=204\",\"Add (0,7)=100 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,3,68],[0,4,33],[0,5,77],[0,6,12],[0,7,100],[1,2,65],[1,3,36],[1,4,96],[1,5,32],[1,6,81],[2,3,30],[2,5,43],[3,4,24],[3,5,73],[3,7,85],[4,5,62],[4,6,96],[4,7,46],[5,6,27],[5,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=12,(3,4)=24,(5,6)=27,(2,3)=30,(1,5)=32,(0,4)=33,(0,1)=35,(1,3)=36,(2,5)=43,(4,7)=46,(4,5)=62,(1,2)=65,(0,3)=68,(3,5)=73,(0,5)=77,(5,7)=78,(1,6)=81,(3,7)=85,(1,4)=96,(4,6)=96,(0,7)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=12\",\"Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=36\",\"Find(5)=5, Find(6)=0, Add (5,6)=27 Succeeded, w=63\",\"Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=93\",\"Find(1)=1, Find(5)=0, Add (1,5)=32 Succeeded, w=125\",\"Find(0)=0, Find(4)=3, Add (0,4)=33 Succeeded, w=158\",\"Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=158\",\"Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=158\",\"Find(2)=0, Find(5)=0, Add (2,5)=43 Failed, w=158\",\"Find(4)=0, Find(7)=7, Add (4,7)=46 Succeeded, w=204\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=204\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=204\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=204\",\"Find(3)=0, Find(5)=0, Add (3,5)=73 Failed, w=204\",\"Find(0)=0, Find(5)=0, Add (0,5)=77 Failed, w=204\",\"Find(5)=0, Find(7)=0, Add (5,7)=78 Failed, w=204\",\"Find(1)=0, Find(6)=0, Add (1,6)=81 Failed, w=204\",\"Find(3)=0, Find(7)=0, Add (3,7)=85 Failed, w=204\",\"Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=204\",\"Find(4)=0, Find(6)=0, Add (4,6)=96 Failed, w=204\",\"Find(0)=0, Find(7)=0, Add (0,7)=100 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,3,68],[0,4,33],[0,5,77],[0,6,12],[0,7,100],[1,2,65],[1,3,36],[1,4,96],[1,5,32],[1,6,81],[2,3,30],[2,5,43],[3,4,24],[3,5,73],[3,7,85],[4,5,62],[4,6,96],[4,7,46],[5,6,27],[5,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=12,(3,4)=24,(5,6)=27,(2,3)=30,(1,5)=32,(0,4)=33,(0,1)=35,(1,3)=36,(2,5)=43,(4,7)=46,(4,5)=62,(1,2)=65,(0,3)=68,(3,5)=73,(0,5)=77,(5,7)=78,(1,6)=81,(3,7)=85,(1,4)=96,(4,6)=96,(0,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 0, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(5)=5, Find(6)=0, Add (5,6)=27 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(1)=1, Find(5)=0, Add (1,5)=32 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(4)=3, Add (0,4)=33 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=43 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=46 Succeeded, w=204\",\"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)=62 Failed, w=204\",\"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)=65 Failed, w=204\",\"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)=68 Failed, w=204\",\"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)=73 Failed, w=204\",\"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)=77 Failed, w=204\",\"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)=78 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=81 Failed, w=204\",\"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)=85 Failed, w=204\",\"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)=96 Failed, w=204\",\"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)=96 Failed, w=204\",\"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)=100 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,52],[0,2,23],[0,4,88],[1,2,33],[1,4,92],[1,5,81],[2,4,72],[2,5,35],[3,5,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,23],[0,4,88],[1,2,33],[1,4,92],[1,5,81],[2,4,72],[2,5,35],[3,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,23],[0,4,88],[1,2,33],[1,4,92],[1,5,81],[2,4,72],[2,5,35],[3,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (2,4)\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,23],[0,4,88],[1,2,33],[1,4,92],[1,5,81],[2,4,72],[2,5,35],[3,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (0,2)=23, w=25\",\"Add (1,2)=33, w=58\",\"Add (2,5)=35, w=93\",\"Add (2,4)=72, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,23],[0,4,88],[1,2,33],[1,4,92],[1,5,81],[2,4,72],[2,5,35],[3,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (0,2)=23 Succeeded, w=25\",\"Add (1,2)=33 Succeeded, w=58\",\"Add (2,5)=35 Succeeded, w=93\",\"Add (0,1)=52 Failed, w=93\",\"Add (2,4)=72 Succeeded, w=165\",\"Add (1,5)=81 Failed, w=165\",\"Add (0,4)=88 Failed, w=165\",\"Add (1,4)=92 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,23],[0,4,88],[1,2,33],[1,4,92],[1,5,81],[2,4,72],[2,5,35],[3,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,2)=23,(1,2)=33,(2,5)=35,(0,1)=52,(2,4)=72,(1,5)=81,(0,4)=88,(1,4)=92]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=25\",\"Find(1)=1, Find(2)=0, Add (1,2)=33 Succeeded, w=58\",\"Find(2)=0, Find(5)=3, Add (2,5)=35 Succeeded, w=93\",\"Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=93\",\"Find(2)=0, Find(4)=4, Add (2,4)=72 Succeeded, w=165\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=165\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=165\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,23],[0,4,88],[1,2,33],[1,4,92],[1,5,81],[2,4,72],[2,5,35],[3,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,2)=23,(1,2)=33,(2,5)=35,(0,1)=52,(2,4)=72,(1,5)=81,(0,4)=88,(1,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(2)=0, Add (1,2)=33 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3}, Find(2)=0, Find(5)=3, Add (2,5)=35 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3}, Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(4)=4, Add (2,4)=72 Succeeded, w=165\",\"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=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,13],[0,2,96],[0,3,62],[0,4,70],[1,2,91],[1,3,36],[2,3,100],[2,4,26],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,96],[0,3,62],[0,4,70],[1,2,91],[1,3,36],[2,3,100],[2,4,26],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,96],[0,3,62],[0,4,70],[1,2,91],[1,3,36],[2,3,100],[2,4,26],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,96],[0,3,62],[0,4,70],[1,2,91],[1,3,36],[2,3,100],[2,4,26],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\",\"Add (2,4)=26, w=39\",\"Add (1,3)=36, w=75\",\"Add (0,4)=70, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,96],[0,3,62],[0,4,70],[1,2,91],[1,3,36],[2,3,100],[2,4,26],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\",\"Add (2,4)=26 Succeeded, w=39\",\"Add (1,3)=36 Succeeded, w=75\",\"Add (0,3)=62 Failed, w=75\",\"Add (0,4)=70 Succeeded, w=145\",\"Add (1,2)=91 Failed, w=145\",\"Add (0,2)=96 Failed, w=145\",\"Add (3,4)=99 Failed, w=145\",\"Add (2,3)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,96],[0,3,62],[0,4,70],[1,2,91],[1,3,36],[2,3,100],[2,4,26],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(2,4)=26,(1,3)=36,(0,3)=62,(0,4)=70,(1,2)=91,(0,2)=96,(3,4)=99,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=39\",\"Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=75\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=75\",\"Find(0)=0, Find(4)=2, Add (0,4)=70 Succeeded, w=145\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=145\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=145\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[0,2,96],[0,3,62],[0,4,70],[1,2,91],[1,3,36],[2,3,100],[2,4,26],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(2,4)=26,(1,3)=36,(0,3)=62,(0,4)=70,(1,2)=91,(0,2)=96,(3,4)=99,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=70 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,41],[0,3,14],[0,4,91],[1,2,36],[1,4,87],[2,3,27],[2,4,62],[3,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,14],[0,4,91],[1,2,36],[1,4,87],[2,3,27],[2,4,62],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,14],[0,4,91],[1,2,36],[1,4,87],[2,3,27],[2,4,62],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,14],[0,4,91],[1,2,36],[1,4,87],[2,3,27],[2,4,62],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (2,3)=27, w=41\",\"Add (1,2)=36, w=77\",\"Add (2,4)=62, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,14],[0,4,91],[1,2,36],[1,4,87],[2,3,27],[2,4,62],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (2,3)=27 Succeeded, w=41\",\"Add (1,2)=36 Succeeded, w=77\",\"Add (0,2)=41 Failed, w=77\",\"Add (2,4)=62 Succeeded, w=139\",\"Add (3,4)=84 Failed, w=139\",\"Add (1,4)=87 Failed, w=139\",\"Add (0,4)=91 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,14],[0,4,91],[1,2,36],[1,4,87],[2,3,27],[2,4,62],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(2,3)=27,(1,2)=36,(0,2)=41,(2,4)=62,(3,4)=84,(1,4)=87,(0,4)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=0, Add (2,3)=27 Succeeded, w=41\",\"Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=77\",\"Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=77\",\"Find(2)=0, Find(4)=4, Add (2,4)=62 Succeeded, w=139\",\"Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,14],[0,4,91],[1,2,36],[1,4,87],[2,3,27],[2,4,62],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(2,3)=27,(1,2)=36,(0,2)=41,(2,4)=62,(3,4)=84,(1,4)=87,(0,4)=91]\",\"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)=27 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=62 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,2,20],[0,3,87],[0,4,47],[0,6,6],[1,2,42],[1,3,74],[1,4,40],[1,5,43],[1,6,41],[1,7,32],[2,3,71],[2,4,81],[2,5,22],[2,6,80],[2,7,61],[3,4,61],[3,5,25],[3,6,96],[3,7,75],[4,7,92],[5,6,73],[5,7,69],[6,7,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,20],[0,3,87],[0,4,47],[0,6,6],[1,2,42],[1,3,74],[1,4,40],[1,5,43],[1,6,41],[1,7,32],[2,3,71],[2,4,81],[2,5,22],[2,6,80],[2,7,61],[3,4,61],[3,5,25],[3,6,96],[3,7,75],[4,7,92],[5,6,73],[5,7,69],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,20],[0,3,87],[0,4,47],[0,6,6],[1,2,42],[1,3,74],[1,4,40],[1,5,43],[1,6,41],[1,7,32],[2,3,71],[2,4,81],[2,5,22],[2,6,80],[2,7,61],[3,4,61],[3,5,25],[3,6,96],[3,7,75],[4,7,92],[5,6,73],[5,7,69],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (1,7)\",\"Add (1,4)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,20],[0,3,87],[0,4,47],[0,6,6],[1,2,42],[1,3,74],[1,4,40],[1,5,43],[1,6,41],[1,7,32],[2,3,71],[2,4,81],[2,5,22],[2,6,80],[2,7,61],[3,4,61],[3,5,25],[3,6,96],[3,7,75],[4,7,92],[5,6,73],[5,7,69],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6, w=6\",\"Add (0,2)=20, w=26\",\"Add (2,5)=22, w=48\",\"Add (3,5)=25, w=73\",\"Add (0,1)=26, w=99\",\"Add (1,7)=32, w=131\",\"Add (1,4)=40, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,20],[0,3,87],[0,4,47],[0,6,6],[1,2,42],[1,3,74],[1,4,40],[1,5,43],[1,6,41],[1,7,32],[2,3,71],[2,4,81],[2,5,22],[2,6,80],[2,7,61],[3,4,61],[3,5,25],[3,6,96],[3,7,75],[4,7,92],[5,6,73],[5,7,69],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6 Succeeded, w=6\",\"Add (0,2)=20 Succeeded, w=26\",\"Add (2,5)=22 Succeeded, w=48\",\"Add (3,5)=25 Succeeded, w=73\",\"Add (0,1)=26 Succeeded, w=99\",\"Add (1,7)=32 Succeeded, w=131\",\"Add (1,4)=40 Succeeded, w=171\",\"Add (1,6)=41 Failed, w=171\",\"Add (1,2)=42 Failed, w=171\",\"Add (1,5)=43 Failed, w=171\",\"Add (0,4)=47 Failed, w=171\",\"Add (2,7)=61 Failed, w=171\",\"Add (3,4)=61 Failed, w=171\",\"Add (6,7)=61 Failed, w=171\",\"Add (5,7)=69 Failed, w=171\",\"Add (2,3)=71 Failed, w=171\",\"Add (5,6)=73 Failed, w=171\",\"Add (1,3)=74 Failed, w=171\",\"Add (3,7)=75 Failed, w=171\",\"Add (2,6)=80 Failed, w=171\",\"Add (2,4)=81 Failed, w=171\",\"Add (0,3)=87 Failed, w=171\",\"Add (4,7)=92 Failed, w=171\",\"Add (3,6)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,20],[0,3,87],[0,4,47],[0,6,6],[1,2,42],[1,3,74],[1,4,40],[1,5,43],[1,6,41],[1,7,32],[2,3,71],[2,4,81],[2,5,22],[2,6,80],[2,7,61],[3,4,61],[3,5,25],[3,6,96],[3,7,75],[4,7,92],[5,6,73],[5,7,69],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(0,2)=20,(2,5)=22,(3,5)=25,(0,1)=26,(1,7)=32,(1,4)=40,(1,6)=41,(1,2)=42,(1,5)=43,(0,4)=47,(2,7)=61,(3,4)=61,(6,7)=61,(5,7)=69,(2,3)=71,(5,6)=73,(1,3)=74,(3,7)=75,(2,6)=80,(2,4)=81,(0,3)=87,(4,7)=92,(3,6)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=26\",\"Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=48\",\"Find(3)=3, Find(5)=0, Add (3,5)=25 Succeeded, w=73\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=99\",\"Find(1)=0, Find(7)=7, Add (1,7)=32 Succeeded, w=131\",\"Find(1)=0, Find(4)=4, Add (1,4)=40 Succeeded, w=171\",\"Find(1)=0, Find(6)=0, Add (1,6)=41 Failed, w=171\",\"Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=171\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=171\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=171\",\"Find(2)=0, Find(7)=0, Add (2,7)=61 Failed, w=171\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=171\",\"Find(6)=0, Find(7)=0, Add (6,7)=61 Failed, w=171\",\"Find(5)=0, Find(7)=0, Add (5,7)=69 Failed, w=171\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=171\",\"Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=171\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=171\",\"Find(3)=0, Find(7)=0, Add (3,7)=75 Failed, w=171\",\"Find(2)=0, Find(6)=0, Add (2,6)=80 Failed, w=171\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=171\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=171\",\"Find(4)=0, Find(7)=0, Add (4,7)=92 Failed, w=171\",\"Find(3)=0, Find(6)=0, Add (3,6)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,20],[0,3,87],[0,4,47],[0,6,6],[1,2,42],[1,3,74],[1,4,40],[1,5,43],[1,6,41],[1,7,32],[2,3,71],[2,4,81],[2,5,22],[2,6,80],[2,7,61],[3,4,61],[3,5,25],[3,6,96],[3,7,75],[4,7,92],[5,6,73],[5,7,69],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(0,2)=20,(2,5)=22,(3,5)=25,(0,1)=26,(1,7)=32,(1,4)=40,(1,6)=41,(1,2)=42,(1,5)=43,(0,4)=47,(2,7)=61,(3,4)=61,(6,7)=61,(5,7)=69,(2,3)=71,(5,6)=73,(1,3)=74,(3,7)=75,(2,6)=80,(2,4)=81,(0,3)=87,(4,7)=92,(3,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(3)=3, Find(5)=0, Add (3,5)=25 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=32 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=4, Add (1,4)=40 Succeeded, w=171\",\"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)=41 Failed, w=171\",\"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)=42 Failed, w=171\",\"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)=43 Failed, w=171\",\"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=171\",\"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)=61 Failed, w=171\",\"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)=61 Failed, w=171\",\"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)=61 Failed, w=171\",\"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)=69 Failed, w=171\",\"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)=71 Failed, w=171\",\"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=171\",\"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)=74 Failed, w=171\",\"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=171\",\"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)=80 Failed, w=171\",\"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=171\",\"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)=87 Failed, w=171\",\"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)=92 Failed, w=171\",\"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)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,93],[0,4,76],[0,5,100],[0,6,56],[1,2,82],[1,3,33],[1,4,52],[1,5,34],[1,6,79],[2,3,13],[2,4,93],[2,5,86],[2,6,22],[3,4,65],[3,5,76],[3,6,51],[4,6,86],[5,6,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,4,76],[0,5,100],[0,6,56],[1,2,82],[1,3,33],[1,4,52],[1,5,34],[1,6,79],[2,3,13],[2,4,93],[2,5,86],[2,6,22],[3,4,65],[3,5,76],[3,6,51],[4,6,86],[5,6,86]]}",
"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],\"edges\":[[0,1,93],[0,4,76],[0,5,100],[0,6,56],[1,2,82],[1,3,33],[1,4,52],[1,5,34],[1,6,79],[2,3,13],[2,4,93],[2,5,86],[2,6,22],[3,4,65],[3,5,76],[3,6,51],[4,6,86],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (0,6)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,4,76],[0,5,100],[0,6,56],[1,2,82],[1,3,33],[1,4,52],[1,5,34],[1,6,79],[2,3,13],[2,4,93],[2,5,86],[2,6,22],[3,4,65],[3,5,76],[3,6,51],[4,6,86],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (2,6)=22, w=35\",\"Add (1,3)=33, w=68\",\"Add (1,5)=34, w=102\",\"Add (1,4)=52, w=154\",\"Add (0,6)=56, 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],\"edges\":[[0,1,93],[0,4,76],[0,5,100],[0,6,56],[1,2,82],[1,3,33],[1,4,52],[1,5,34],[1,6,79],[2,3,13],[2,4,93],[2,5,86],[2,6,22],[3,4,65],[3,5,76],[3,6,51],[4,6,86],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (2,6)=22 Succeeded, w=35\",\"Add (1,3)=33 Succeeded, w=68\",\"Add (1,5)=34 Succeeded, w=102\",\"Add (3,6)=51 Failed, w=102\",\"Add (1,4)=52 Succeeded, w=154\",\"Add (0,6)=56 Succeeded, w=210\",\"Add (3,4)=65 Failed, w=210\",\"Add (0,4)=76 Failed, w=210\",\"Add (3,5)=76 Failed, w=210\",\"Add (1,6)=79 Failed, w=210\",\"Add (1,2)=82 Failed, w=210\",\"Add (2,5)=86 Failed, w=210\",\"Add (4,6)=86 Failed, w=210\",\"Add (5,6)=86 Failed, w=210\",\"Add (0,1)=93 Failed, w=210\",\"Add (2,4)=93 Failed, w=210\",\"Add (0,5)=100 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],\"edges\":[[0,1,93],[0,4,76],[0,5,100],[0,6,56],[1,2,82],[1,3,33],[1,4,52],[1,5,34],[1,6,79],[2,3,13],[2,4,93],[2,5,86],[2,6,22],[3,4,65],[3,5,76],[3,6,51],[4,6,86],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(2,6)=22,(1,3)=33,(1,5)=34,(3,6)=51,(1,4)=52,(0,6)=56,(3,4)=65,(0,4)=76,(3,5)=76,(1,6)=79,(1,2)=82,(2,5)=86,(4,6)=86,(5,6)=86,(0,1)=93,(2,4)=93,(0,5)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(2)=2, Find(6)=6, Add (2,6)=22 Succeeded, w=35\",\"Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=68\",\"Find(1)=2, Find(5)=5, Add (1,5)=34 Succeeded, w=102\",\"Find(3)=2, Find(6)=2, Add (3,6)=51 Failed, w=102\",\"Find(1)=2, Find(4)=4, Add (1,4)=52 Succeeded, w=154\",\"Find(0)=0, Find(6)=2, Add (0,6)=56 Succeeded, w=210\",\"Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=210\",\"Find(0)=2, Find(4)=2, Add (0,4)=76 Failed, w=210\",\"Find(3)=2, Find(5)=2, Add (3,5)=76 Failed, w=210\",\"Find(1)=2, Find(6)=2, Add (1,6)=79 Failed, w=210\",\"Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=210\",\"Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=210\",\"Find(4)=2, Find(6)=2, Add (4,6)=86 Failed, w=210\",\"Find(5)=2, Find(6)=2, Add (5,6)=86 Failed, w=210\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=210\",\"Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=210\",\"Find(0)=2, Find(5)=2, Add (0,5)=100 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],\"edges\":[[0,1,93],[0,4,76],[0,5,100],[0,6,56],[1,2,82],[1,3,33],[1,4,52],[1,5,34],[1,6,79],[2,3,13],[2,4,93],[2,5,86],[2,6,22],[3,4,65],[3,5,76],[3,6,51],[4,6,86],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(2,6)=22,(1,3)=33,(1,5)=34,(3,6)=51,(1,4)=52,(0,6)=56,(3,4)=65,(0,4)=76,(3,5)=76,(1,6)=79,(1,2)=82,(2,5)=86,(4,6)=86,(5,6)=86,(0,1)=93,(2,4)=93,(0,5)=100]\",\"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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=22 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=68\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(1)=2, Find(5)=5, Add (1,5)=34 Succeeded, w=102\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=51 Failed, w=102\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=4, Add (1,4)=52 Succeeded, w=154\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=56 Succeeded, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=76 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=76 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=79 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=86 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=86 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=100 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,56],[0,2,46],[0,3,50],[0,4,81],[0,5,65],[1,2,82],[1,3,56],[1,4,60],[1,5,30],[2,3,86],[2,4,53],[2,5,6],[3,4,46],[3,5,82],[4,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,46],[0,3,50],[0,4,81],[0,5,65],[1,2,82],[1,3,56],[1,4,60],[1,5,30],[2,3,86],[2,4,53],[2,5,6],[3,4,46],[3,5,82],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,46],[0,3,50],[0,4,81],[0,5,65],[1,2,82],[1,3,56],[1,4,60],[1,5,30],[2,3,86],[2,4,53],[2,5,6],[3,4,46],[3,5,82],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,46],[0,3,50],[0,4,81],[0,5,65],[1,2,82],[1,3,56],[1,4,60],[1,5,30],[2,3,86],[2,4,53],[2,5,6],[3,4,46],[3,5,82],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6, w=6\",\"Add (4,5)=15, w=21\",\"Add (1,5)=30, w=51\",\"Add (0,2)=46, w=97\",\"Add (3,4)=46, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,46],[0,3,50],[0,4,81],[0,5,65],[1,2,82],[1,3,56],[1,4,60],[1,5,30],[2,3,86],[2,4,53],[2,5,6],[3,4,46],[3,5,82],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6 Succeeded, w=6\",\"Add (4,5)=15 Succeeded, w=21\",\"Add (1,5)=30 Succeeded, w=51\",\"Add (0,2)=46 Succeeded, w=97\",\"Add (3,4)=46 Succeeded, w=143\",\"Add (0,3)=50 Failed, w=143\",\"Add (2,4)=53 Failed, w=143\",\"Add (0,1)=56 Failed, w=143\",\"Add (1,3)=56 Failed, w=143\",\"Add (1,4)=60 Failed, w=143\",\"Add (0,5)=65 Failed, w=143\",\"Add (0,4)=81 Failed, w=143\",\"Add (1,2)=82 Failed, w=143\",\"Add (3,5)=82 Failed, w=143\",\"Add (2,3)=86 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,46],[0,3,50],[0,4,81],[0,5,65],[1,2,82],[1,3,56],[1,4,60],[1,5,30],[2,3,86],[2,4,53],[2,5,6],[3,4,46],[3,5,82],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(4,5)=15,(1,5)=30,(0,2)=46,(3,4)=46,(0,3)=50,(2,4)=53,(0,1)=56,(1,3)=56,(1,4)=60,(0,5)=65,(0,4)=81,(1,2)=82,(3,5)=82,(2,3)=86]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(4)=4, Find(5)=2, Add (4,5)=15 Succeeded, w=21\",\"Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=51\",\"Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=97\",\"Find(3)=3, Find(4)=2, Add (3,4)=46 Succeeded, w=143\",\"Find(0)=2, Find(3)=2, Add (0,3)=50 Failed, w=143\",\"Find(2)=2, Find(4)=2, Add (2,4)=53 Failed, w=143\",\"Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=143\",\"Find(1)=2, Find(3)=2, Add (1,3)=56 Failed, w=143\",\"Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=143\",\"Find(0)=2, Find(5)=2, Add (0,5)=65 Failed, w=143\",\"Find(0)=2, Find(4)=2, Add (0,4)=81 Failed, w=143\",\"Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=143\",\"Find(3)=2, Find(5)=2, Add (3,5)=82 Failed, w=143\",\"Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,46],[0,3,50],[0,4,81],[0,5,65],[1,2,82],[1,3,56],[1,4,60],[1,5,30],[2,3,86],[2,4,53],[2,5,6],[3,4,46],[3,5,82],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(4,5)=15,(1,5)=30,(0,2)=46,(3,4)=46,(0,3)=50,(2,4)=53,(0,1)=56,(1,3)=56,(1,4)=60,(0,5)=65,(0,4)=81,(1,2)=82,(3,5)=82,(2,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=46 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=50 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=53 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=56 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=60 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=65 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=81 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=82 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,82],[0,3,59],[0,4,95],[0,5,44],[0,6,88],[1,3,66],[1,4,9],[1,5,66],[3,4,92],[3,5,18],[3,6,73],[4,5,63],[5,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,82],[0,3,59],[0,4,95],[0,5,44],[0,6,88],[1,3,66],[1,4,9],[1,5,66],[3,4,92],[3,5,18],[3,6,73],[4,5,63],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,82],[0,3,59],[0,4,95],[0,5,44],[0,6,88],[1,3,66],[1,4,9],[1,5,66],[3,4,92],[3,5,18],[3,6,73],[4,5,63],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,82],[0,3,59],[0,4,95],[0,5,44],[0,6,88],[1,3,66],[1,4,9],[1,5,66],[3,4,92],[3,5,18],[3,6,73],[4,5,63],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=9, w=9\",\"Add (3,5)=18, w=27\",\"Add (5,6)=25, w=52\",\"Add (0,5)=44, w=96\",\"Add (4,5)=63, w=159\",\"Add (0,2)=82, w=241\"],\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,82],[0,3,59],[0,4,95],[0,5,44],[0,6,88],[1,3,66],[1,4,9],[1,5,66],[3,4,92],[3,5,18],[3,6,73],[4,5,63],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=9 Succeeded, w=9\",\"Add (3,5)=18 Succeeded, w=27\",\"Add (5,6)=25 Succeeded, w=52\",\"Add (0,5)=44 Succeeded, w=96\",\"Add (0,3)=59 Failed, w=96\",\"Add (4,5)=63 Succeeded, w=159\",\"Add (1,3)=66 Failed, w=159\",\"Add (1,5)=66 Failed, w=159\",\"Add (3,6)=73 Failed, w=159\",\"Add (0,2)=82 Succeeded, w=241\",\"Add (0,6)=88 Failed, w=241\",\"Add (3,4)=92 Failed, w=241\",\"Add (0,4)=95 Failed, w=241\"],\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,82],[0,3,59],[0,4,95],[0,5,44],[0,6,88],[1,3,66],[1,4,9],[1,5,66],[3,4,92],[3,5,18],[3,6,73],[4,5,63],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=9,(3,5)=18,(5,6)=25,(0,5)=44,(0,3)=59,(4,5)=63,(1,3)=66,(1,5)=66,(3,6)=73,(0,2)=82,(0,6)=88,(3,4)=92,(0,4)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=27\",\"Find(5)=3, Find(6)=6, Add (5,6)=25 Succeeded, w=52\",\"Find(0)=0, Find(5)=3, Add (0,5)=44 Succeeded, w=96\",\"Find(0)=3, Find(3)=3, Add (0,3)=59 Failed, w=96\",\"Find(4)=1, Find(5)=3, Add (4,5)=63 Succeeded, w=159\",\"Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=159\",\"Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=159\",\"Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=159\",\"Find(0)=1, Find(2)=2, Add (0,2)=82 Succeeded, w=241\",\"Find(0)=1, Find(6)=1, Add (0,6)=88 Failed, w=241\",\"Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=241\",\"Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=241\"],\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,82],[0,3,59],[0,4,95],[0,5,44],[0,6,88],[1,3,66],[1,4,9],[1,5,66],[3,4,92],[3,5,18],[3,6,73],[4,5,63],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=9,(3,5)=18,(5,6)=25,(0,5)=44,(0,3)=59,(4,5)=63,(1,3)=66,(1,5)=66,(3,6)=73,(0,2)=82,(0,6)=88,(3,4)=92,(0,4)=95]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3}, Find(5)=3, Find(6)=6, Add (5,6)=25 Succeeded, w=52\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=44 Succeeded, w=96\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=59 Failed, w=96\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 3}, Find(4)=1, Find(5)=3, Add (4,5)=63 Succeeded, w=159\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 3}, Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=159\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 3}, Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=159\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=2, Add (0,2)=82 Succeeded, w=241\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=88 Failed, w=241\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=241\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=241\"],\"Answer\":241}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,93],[0,3,41],[0,4,56],[0,5,17],[1,3,31],[1,5,4],[1,6,90],[1,7,88],[2,3,25],[2,4,44],[2,6,52],[3,5,39],[3,6,19],[3,7,2],[4,5,86],[4,6,82],[4,7,86],[5,6,4],[6,7,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,3,41],[0,4,56],[0,5,17],[1,3,31],[1,5,4],[1,6,90],[1,7,88],[2,3,25],[2,4,44],[2,6,52],[3,5,39],[3,6,19],[3,7,2],[4,5,86],[4,6,82],[4,7,86],[5,6,4],[6,7,11]]}",
"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\":[[0,1,93],[0,3,41],[0,4,56],[0,5,17],[1,3,31],[1,5,4],[1,6,90],[1,7,88],[2,3,25],[2,4,44],[2,6,52],[3,5,39],[3,6,19],[3,7,2],[4,5,86],[4,6,82],[4,7,86],[5,6,4],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (6,7)\",\"Add (0,5)\",\"Add (2,3)\",\"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\":[[0,1,93],[0,3,41],[0,4,56],[0,5,17],[1,3,31],[1,5,4],[1,6,90],[1,7,88],[2,3,25],[2,4,44],[2,6,52],[3,5,39],[3,6,19],[3,7,2],[4,5,86],[4,6,82],[4,7,86],[5,6,4],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=2, w=2\",\"Add (1,5)=4, w=6\",\"Add (5,6)=4, w=10\",\"Add (6,7)=11, w=21\",\"Add (0,5)=17, w=38\",\"Add (2,3)=25, w=63\",\"Add (2,4)=44, 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\":[[0,1,93],[0,3,41],[0,4,56],[0,5,17],[1,3,31],[1,5,4],[1,6,90],[1,7,88],[2,3,25],[2,4,44],[2,6,52],[3,5,39],[3,6,19],[3,7,2],[4,5,86],[4,6,82],[4,7,86],[5,6,4],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=2 Succeeded, w=2\",\"Add (1,5)=4 Succeeded, w=6\",\"Add (5,6)=4 Succeeded, w=10\",\"Add (6,7)=11 Succeeded, w=21\",\"Add (0,5)=17 Succeeded, w=38\",\"Add (3,6)=19 Failed, w=38\",\"Add (2,3)=25 Succeeded, w=63\",\"Add (1,3)=31 Failed, w=63\",\"Add (3,5)=39 Failed, w=63\",\"Add (0,3)=41 Failed, w=63\",\"Add (2,4)=44 Succeeded, w=107\",\"Add (2,6)=52 Failed, w=107\",\"Add (0,4)=56 Failed, w=107\",\"Add (4,6)=82 Failed, w=107\",\"Add (4,5)=86 Failed, w=107\",\"Add (4,7)=86 Failed, w=107\",\"Add (1,7)=88 Failed, w=107\",\"Add (1,6)=90 Failed, w=107\",\"Add (0,1)=93 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\":[[0,1,93],[0,3,41],[0,4,56],[0,5,17],[1,3,31],[1,5,4],[1,6,90],[1,7,88],[2,3,25],[2,4,44],[2,6,52],[3,5,39],[3,6,19],[3,7,2],[4,5,86],[4,6,82],[4,7,86],[5,6,4],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=2,(1,5)=4,(5,6)=4,(6,7)=11,(0,5)=17,(3,6)=19,(2,3)=25,(1,3)=31,(3,5)=39,(0,3)=41,(2,4)=44,(2,6)=52,(0,4)=56,(4,6)=82,(4,5)=86,(4,7)=86,(1,7)=88,(1,6)=90,(0,1)=93]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=6\",\"Find(5)=1, Find(6)=6, Add (5,6)=4 Succeeded, w=10\",\"Find(6)=1, Find(7)=3, Add (6,7)=11 Succeeded, w=21\",\"Find(0)=0, Find(5)=1, Add (0,5)=17 Succeeded, w=38\",\"Find(3)=1, Find(6)=1, Add (3,6)=19 Failed, w=38\",\"Find(2)=2, Find(3)=1, Add (2,3)=25 Succeeded, w=63\",\"Find(1)=1, Find(3)=1, Add (1,3)=31 Failed, w=63\",\"Find(3)=1, Find(5)=1, Add (3,5)=39 Failed, w=63\",\"Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=63\",\"Find(2)=1, Find(4)=4, Add (2,4)=44 Succeeded, w=107\",\"Find(2)=1, Find(6)=1, Add (2,6)=52 Failed, w=107\",\"Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=107\",\"Find(4)=1, Find(6)=1, Add (4,6)=82 Failed, w=107\",\"Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=107\",\"Find(4)=1, Find(7)=1, Add (4,7)=86 Failed, w=107\",\"Find(1)=1, Find(7)=1, Add (1,7)=88 Failed, w=107\",\"Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=107\",\"Find(0)=1, Find(1)=1, Add (0,1)=93 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\":[[0,1,93],[0,3,41],[0,4,56],[0,5,17],[1,3,31],[1,5,4],[1,6,90],[1,7,88],[2,3,25],[2,4,44],[2,6,52],[3,5,39],[3,6,19],[3,7,2],[4,5,86],[4,6,82],[4,7,86],[5,6,4],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=2,(1,5)=4,(5,6)=4,(6,7)=11,(0,5)=17,(3,6)=19,(2,3)=25,(1,3)=31,(3,5)=39,(0,3)=41,(2,4)=44,(2,6)=52,(0,4)=56,(4,6)=82,(4,5)=86,(4,7)=86,(1,7)=88,(1,6)=90,(0,1)=93]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1, 7: 3}, Find(5)=1, Find(6)=6, Add (5,6)=4 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 3}, Find(6)=1, Find(7)=3, Add (6,7)=11 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 3}, Find(0)=0, Find(5)=1, Add (0,5)=17 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 3}, Find(3)=1, Find(6)=1, Add (3,6)=19 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 3}, Find(2)=2, Find(3)=1, Add (2,3)=25 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 3}, Find(1)=1, Find(3)=1, Add (1,3)=31 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 3}, Find(3)=1, Find(5)=1, Add (3,5)=39 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(2)=1, Find(4)=4, Add (2,4)=44 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(2)=1, Find(6)=1, Add (2,6)=52 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(4)=1, Find(6)=1, Add (4,6)=82 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=107\",\"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)=86 Failed, w=107\",\"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)=88 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=90 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)=93 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,51],[0,3,58],[0,4,27],[0,5,29],[1,2,58],[1,3,67],[1,4,22],[1,5,6],[1,6,34],[2,3,33],[2,4,78],[2,6,98],[3,4,95],[3,5,43],[3,6,11],[4,5,69],[4,6,15],[5,6,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,3,58],[0,4,27],[0,5,29],[1,2,58],[1,3,67],[1,4,22],[1,5,6],[1,6,34],[2,3,33],[2,4,78],[2,6,98],[3,4,95],[3,5,43],[3,6,11],[4,5,69],[4,6,15],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,3,58],[0,4,27],[0,5,29],[1,2,58],[1,3,67],[1,4,22],[1,5,6],[1,6,34],[2,3,33],[2,4,78],[2,6,98],[3,4,95],[3,5,43],[3,6,11],[4,5,69],[4,6,15],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,3,58],[0,4,27],[0,5,29],[1,2,58],[1,3,67],[1,4,22],[1,5,6],[1,6,34],[2,3,33],[2,4,78],[2,6,98],[3,4,95],[3,5,43],[3,6,11],[4,5,69],[4,6,15],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6, w=6\",\"Add (3,6)=11, w=17\",\"Add (4,6)=15, w=32\",\"Add (1,4)=22, w=54\",\"Add (0,4)=27, w=81\",\"Add (2,3)=33, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,3,58],[0,4,27],[0,5,29],[1,2,58],[1,3,67],[1,4,22],[1,5,6],[1,6,34],[2,3,33],[2,4,78],[2,6,98],[3,4,95],[3,5,43],[3,6,11],[4,5,69],[4,6,15],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=6 Succeeded, w=6\",\"Add (3,6)=11 Succeeded, w=17\",\"Add (4,6)=15 Succeeded, w=32\",\"Add (1,4)=22 Succeeded, w=54\",\"Add (0,4)=27 Succeeded, w=81\",\"Add (0,5)=29 Failed, w=81\",\"Add (2,3)=33 Succeeded, w=114\",\"Add (1,6)=34 Failed, w=114\",\"Add (3,5)=43 Failed, w=114\",\"Add (0,1)=51 Failed, w=114\",\"Add (0,3)=58 Failed, w=114\",\"Add (1,2)=58 Failed, w=114\",\"Add (1,3)=67 Failed, w=114\",\"Add (4,5)=69 Failed, w=114\",\"Add (2,4)=78 Failed, w=114\",\"Add (3,4)=95 Failed, w=114\",\"Add (5,6)=96 Failed, w=114\",\"Add (2,6)=98 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,3,58],[0,4,27],[0,5,29],[1,2,58],[1,3,67],[1,4,22],[1,5,6],[1,6,34],[2,3,33],[2,4,78],[2,6,98],[3,4,95],[3,5,43],[3,6,11],[4,5,69],[4,6,15],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(3,6)=11,(4,6)=15,(1,4)=22,(0,4)=27,(0,5)=29,(2,3)=33,(1,6)=34,(3,5)=43,(0,1)=51,(0,3)=58,(1,2)=58,(1,3)=67,(4,5)=69,(2,4)=78,(3,4)=95,(5,6)=96,(2,6)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=17\",\"Find(4)=4, Find(6)=3, Add (4,6)=15 Succeeded, w=32\",\"Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=54\",\"Find(0)=0, Find(4)=1, Add (0,4)=27 Succeeded, w=81\",\"Find(0)=1, Find(5)=1, Add (0,5)=29 Failed, w=81\",\"Find(2)=2, Find(3)=1, Add (2,3)=33 Succeeded, w=114\",\"Find(1)=1, Find(6)=1, Add (1,6)=34 Failed, w=114\",\"Find(3)=1, Find(5)=1, Add (3,5)=43 Failed, w=114\",\"Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=114\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=114\",\"Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=114\",\"Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=114\",\"Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=114\",\"Find(2)=1, Find(4)=1, Add (2,4)=78 Failed, w=114\",\"Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=114\",\"Find(5)=1, Find(6)=1, Add (5,6)=96 Failed, w=114\",\"Find(2)=1, Find(6)=1, Add (2,6)=98 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,3,58],[0,4,27],[0,5,29],[1,2,58],[1,3,67],[1,4,22],[1,5,6],[1,6,34],[2,3,33],[2,4,78],[2,6,98],[3,4,95],[3,5,43],[3,6,11],[4,5,69],[4,6,15],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=6,(3,6)=11,(4,6)=15,(1,4)=22,(0,4)=27,(0,5)=29,(2,3)=33,(1,6)=34,(3,5)=43,(0,1)=51,(0,3)=58,(1,2)=58,(1,3)=67,(4,5)=69,(2,4)=78,(3,4)=95,(5,6)=96,(2,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 3, 5: 1, 6: 3}, Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=0, Find(4)=1, Add (0,4)=27 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 3}, Find(0)=1, Find(5)=1, Add (0,5)=29 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(2)=2, Find(3)=1, Add (2,3)=33 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=34 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=43 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=78 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=96 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=98 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,91],[0,2,56],[0,4,80],[1,2,72],[1,3,92],[2,3,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,56],[0,4,80],[1,2,72],[1,3,92],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,56],[0,4,80],[1,2,72],[1,3,92],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,56],[0,4,80],[1,2,72],[1,3,92],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (0,2)=56, w=58\",\"Add (1,2)=72, w=130\",\"Add (0,4)=80, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,56],[0,4,80],[1,2,72],[1,3,92],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (0,2)=56 Succeeded, w=58\",\"Add (1,2)=72 Succeeded, w=130\",\"Add (0,4)=80 Succeeded, w=210\",\"Add (0,1)=91 Failed, w=210\",\"Add (1,3)=92 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,56],[0,4,80],[1,2,72],[1,3,92],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,2)=56,(1,2)=72,(0,4)=80,(0,1)=91,(1,3)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=58\",\"Find(1)=1, Find(2)=2, Add (1,2)=72 Succeeded, w=130\",\"Find(0)=2, Find(4)=4, Add (0,4)=80 Succeeded, w=210\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=210\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,56],[0,4,80],[1,2,72],[1,3,92],[2,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,2)=56,(1,2)=72,(0,4)=80,(0,1)=91,(1,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=72 Succeeded, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=4, Add (0,4)=80 Succeeded, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,56],[0,2,71],[0,4,38],[1,2,3],[2,3,0],[2,4,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,71],[0,4,38],[1,2,3],[2,3,0],[2,4,88]]}",
"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\":[[0,1,56],[0,2,71],[0,4,38],[1,2,3],[2,3,0],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,71],[0,4,38],[1,2,3],[2,3,0],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,2)=3, w=3\",\"Add (0,4)=38, w=41\",\"Add (0,1)=56, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,56],[0,2,71],[0,4,38],[1,2,3],[2,3,0],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,4)=38 Succeeded, w=41\",\"Add (0,1)=56 Succeeded, w=97\",\"Add (0,2)=71 Failed, w=97\",\"Add (2,4)=88 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\":[[0,1,56],[0,2,71],[0,4,38],[1,2,3],[2,3,0],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=3,(0,4)=38,(0,1)=56,(0,2)=71,(2,4)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=41\",\"Find(0)=0, Find(1)=2, Add (0,1)=56 Succeeded, w=97\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=97\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 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\":[[0,1,56],[0,2,71],[0,4,38],[1,2,3],[2,3,0],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=3,(0,4)=38,(0,1)=56,(0,2)=71,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=41\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(1)=2, Add (0,1)=56 Succeeded, w=97\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=97\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,30],[0,2,75],[0,3,42],[0,5,14],[1,2,8],[1,3,14],[1,4,97],[2,3,80],[2,4,71],[2,6,31],[3,5,99],[4,5,0],[4,6,0],[5,6,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,75],[0,3,42],[0,5,14],[1,2,8],[1,3,14],[1,4,97],[2,3,80],[2,4,71],[2,6,31],[3,5,99],[4,5,0],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,75],[0,3,42],[0,5,14],[1,2,8],[1,3,14],[1,4,97],[2,3,80],[2,4,71],[2,6,31],[3,5,99],[4,5,0],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,75],[0,3,42],[0,5,14],[1,2,8],[1,3,14],[1,4,97],[2,3,80],[2,4,71],[2,6,31],[3,5,99],[4,5,0],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (4,6)=0, w=0\",\"Add (1,2)=8, w=8\",\"Add (0,5)=14, w=22\",\"Add (1,3)=14, w=36\",\"Add (0,1)=30, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,75],[0,3,42],[0,5,14],[1,2,8],[1,3,14],[1,4,97],[2,3,80],[2,4,71],[2,6,31],[3,5,99],[4,5,0],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (4,6)=0 Succeeded, w=0\",\"Add (1,2)=8 Succeeded, w=8\",\"Add (0,5)=14 Succeeded, w=22\",\"Add (1,3)=14 Succeeded, w=36\",\"Add (0,1)=30 Succeeded, w=66\",\"Add (2,6)=31 Failed, w=66\",\"Add (0,3)=42 Failed, w=66\",\"Add (5,6)=49 Failed, w=66\",\"Add (2,4)=71 Failed, w=66\",\"Add (0,2)=75 Failed, w=66\",\"Add (2,3)=80 Failed, w=66\",\"Add (1,4)=97 Failed, w=66\",\"Add (3,5)=99 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,75],[0,3,42],[0,5,14],[1,2,8],[1,3,14],[1,4,97],[2,3,80],[2,4,71],[2,6,31],[3,5,99],[4,5,0],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(4,6)=0,(1,2)=8,(0,5)=14,(1,3)=14,(0,1)=30,(2,6)=31,(0,3)=42,(5,6)=49,(2,4)=71,(0,2)=75,(2,3)=80,(1,4)=97,(3,5)=99]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(5)=4, Add (0,5)=14 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=36\",\"Find(0)=4, Find(1)=1, Add (0,1)=30 Succeeded, w=66\",\"Find(2)=4, Find(6)=4, Add (2,6)=31 Failed, w=66\",\"Find(0)=4, Find(3)=4, Add (0,3)=42 Failed, w=66\",\"Find(5)=4, Find(6)=4, Add (5,6)=49 Failed, w=66\",\"Find(2)=4, Find(4)=4, Add (2,4)=71 Failed, w=66\",\"Find(0)=4, Find(2)=4, Add (0,2)=75 Failed, w=66\",\"Find(2)=4, Find(3)=4, Add (2,3)=80 Failed, w=66\",\"Find(1)=4, Find(4)=4, Add (1,4)=97 Failed, w=66\",\"Find(3)=4, Find(5)=4, Add (3,5)=99 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,75],[0,3,42],[0,5,14],[1,2,8],[1,3,14],[1,4,97],[2,3,80],[2,4,71],[2,6,31],[3,5,99],[4,5,0],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(4,6)=0,(1,2)=8,(0,5)=14,(1,3)=14,(0,1)=30,(2,6)=31,(0,3)=42,(5,6)=49,(2,4)=71,(0,2)=75,(2,3)=80,(1,4)=97,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(5)=4, Add (0,5)=14 Succeeded, w=22\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=36\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=1, Add (0,1)=30 Succeeded, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=31 Failed, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=42 Failed, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=49 Failed, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=71 Failed, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=75 Failed, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=80 Failed, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=97 Failed, w=66\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=99 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,81],[0,3,71],[0,4,52],[0,5,27],[1,2,81],[1,3,73],[1,4,72],[1,5,81],[2,3,76],[2,4,86],[2,5,76],[2,6,59],[3,4,59],[3,6,0],[5,6,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,71],[0,4,52],[0,5,27],[1,2,81],[1,3,73],[1,4,72],[1,5,81],[2,3,76],[2,4,86],[2,5,76],[2,6,59],[3,4,59],[3,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,71],[0,4,52],[0,5,27],[1,2,81],[1,3,73],[1,4,72],[1,5,81],[2,3,76],[2,4,86],[2,5,76],[2,6,59],[3,4,59],[3,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,71],[0,4,52],[0,5,27],[1,2,81],[1,3,73],[1,4,72],[1,5,81],[2,3,76],[2,4,86],[2,5,76],[2,6,59],[3,4,59],[3,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (0,5)=27, w=27\",\"Add (0,4)=52, w=79\",\"Add (2,6)=59, w=138\",\"Add (3,4)=59, w=197\",\"Add (1,4)=72, w=269\"],\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,71],[0,4,52],[0,5,27],[1,2,81],[1,3,73],[1,4,72],[1,5,81],[2,3,76],[2,4,86],[2,5,76],[2,6,59],[3,4,59],[3,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (0,5)=27 Succeeded, w=27\",\"Add (0,4)=52 Succeeded, w=79\",\"Add (2,6)=59 Succeeded, w=138\",\"Add (3,4)=59 Succeeded, w=197\",\"Add (0,3)=71 Failed, w=197\",\"Add (1,4)=72 Succeeded, w=269\",\"Add (1,3)=73 Failed, w=269\",\"Add (2,3)=76 Failed, w=269\",\"Add (2,5)=76 Failed, w=269\",\"Add (0,2)=81 Failed, w=269\",\"Add (1,2)=81 Failed, w=269\",\"Add (1,5)=81 Failed, w=269\",\"Add (5,6)=84 Failed, w=269\",\"Add (2,4)=86 Failed, w=269\"],\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,71],[0,4,52],[0,5,27],[1,2,81],[1,3,73],[1,4,72],[1,5,81],[2,3,76],[2,4,86],[2,5,76],[2,6,59],[3,4,59],[3,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,5)=27,(0,4)=52,(2,6)=59,(3,4)=59,(0,3)=71,(1,4)=72,(1,3)=73,(2,3)=76,(2,5)=76,(0,2)=81,(1,2)=81,(1,5)=81,(5,6)=84,(2,4)=86]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=27\",\"Find(0)=0, Find(4)=4, Add (0,4)=52 Succeeded, w=79\",\"Find(2)=2, Find(6)=3, Add (2,6)=59 Succeeded, w=138\",\"Find(3)=3, Find(4)=0, Add (3,4)=59 Succeeded, w=197\",\"Find(0)=3, Find(3)=3, Add (0,3)=71 Failed, w=197\",\"Find(1)=1, Find(4)=3, Add (1,4)=72 Succeeded, w=269\",\"Find(1)=3, Find(3)=3, Add (1,3)=73 Failed, w=269\",\"Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=269\",\"Find(2)=3, Find(5)=3, Add (2,5)=76 Failed, w=269\",\"Find(0)=3, Find(2)=3, Add (0,2)=81 Failed, w=269\",\"Find(1)=3, Find(2)=3, Add (1,2)=81 Failed, w=269\",\"Find(1)=3, Find(5)=3, Add (1,5)=81 Failed, w=269\",\"Find(5)=3, Find(6)=3, Add (5,6)=84 Failed, w=269\",\"Find(2)=3, Find(4)=3, Add (2,4)=86 Failed, w=269\"],\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,71],[0,4,52],[0,5,27],[1,2,81],[1,3,73],[1,4,72],[1,5,81],[2,3,76],[2,4,86],[2,5,76],[2,6,59],[3,4,59],[3,6,0],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,5)=27,(0,4)=52,(2,6)=59,(3,4)=59,(0,3)=71,(1,4)=72,(1,3)=73,(2,3)=76,(2,5)=76,(0,2)=81,(1,2)=81,(1,5)=81,(5,6)=84,(2,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(4)=4, Add (0,4)=52 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 0, 5: 0, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=59 Succeeded, w=138\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 0, 5: 0, 6: 3}, Find(3)=3, Find(4)=0, Add (3,4)=59 Succeeded, w=197\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 0, 5: 0, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=71 Failed, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(1)=1, Find(4)=3, Add (1,4)=72 Succeeded, w=269\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=73 Failed, w=269\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=269\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=76 Failed, w=269\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=81 Failed, w=269\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=81 Failed, w=269\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=81 Failed, w=269\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=84 Failed, w=269\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=86 Failed, w=269\"],\"Answer\":269}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,28],[0,2,19],[1,2,44],[1,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,19],[1,2,44],[1,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,19],[1,2,44],[1,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,19],[1,2,44],[1,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (0,1)=28, w=47\",\"Add (1,3)=58, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,19],[1,2,44],[1,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (0,1)=28 Succeeded, w=47\",\"Add (1,2)=44 Failed, w=47\",\"Add (1,3)=58 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,19],[1,2,44],[1,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,1)=28,(1,2)=44,(1,3)=58]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=47\",\"Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=47\",\"Find(1)=0, Find(3)=3, Add (1,3)=58 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,19],[1,2,44],[1,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,1)=28,(1,2)=44,(1,3)=58]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=58 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,35],[0,2,79],[0,3,35],[1,2,2],[1,3,1],[2,3,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,79],[0,3,35],[1,2,2],[1,3,1],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,79],[0,3,35],[1,2,2],[1,3,1],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,79],[0,3,35],[1,2,2],[1,3,1],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,2)=2, w=3\",\"Add (0,1)=35, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,79],[0,3,35],[1,2,2],[1,3,1],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,2)=2 Succeeded, w=3\",\"Add (0,1)=35 Succeeded, w=38\",\"Add (0,3)=35 Failed, w=38\",\"Add (2,3)=48 Failed, w=38\",\"Add (0,2)=79 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,79],[0,3,35],[1,2,2],[1,3,1],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,2)=2,(0,1)=35,(0,3)=35,(2,3)=48,(0,2)=79]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=38\",\"Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=38\",\"Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=38\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,79],[0,3,35],[1,2,2],[1,3,1],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,2)=2,(0,1)=35,(0,3)=35,(2,3)=48,(0,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,42],[0,2,19],[0,3,50],[1,2,33],[2,4,52],[3,4,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,19],[0,3,50],[1,2,33],[2,4,52],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,19],[0,3,50],[1,2,33],[2,4,52],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,19],[0,3,50],[1,2,33],[2,4,52],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (1,2)=33, w=52\",\"Add (0,3)=50, w=102\",\"Add (2,4)=52, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,19],[0,3,50],[1,2,33],[2,4,52],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (1,2)=33 Succeeded, w=52\",\"Add (0,1)=42 Failed, w=52\",\"Add (0,3)=50 Succeeded, w=102\",\"Add (2,4)=52 Succeeded, w=154\",\"Add (3,4)=80 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,19],[0,3,50],[1,2,33],[2,4,52],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,2)=33,(0,1)=42,(0,3)=50,(2,4)=52,(3,4)=80]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=33 Succeeded, w=52\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=52\",\"Find(0)=0, Find(3)=3, Add (0,3)=50 Succeeded, w=102\",\"Find(2)=0, Find(4)=4, Add (2,4)=52 Succeeded, w=154\",\"Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,19],[0,3,50],[1,2,33],[2,4,52],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,2)=33,(0,1)=42,(0,3)=50,(2,4)=52,(3,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=33 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=50 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=52 Succeeded, w=154\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,4,87],[1,2,79],[1,5,4],[1,6,75],[2,3,29],[2,6,28],[3,5,27],[4,5,65],[5,6,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,87],[1,2,79],[1,5,4],[1,6,75],[2,3,29],[2,6,28],[3,5,27],[4,5,65],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,87],[1,2,79],[1,5,4],[1,6,75],[2,3,29],[2,6,28],[3,5,27],[4,5,65],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (4,5)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,87],[1,2,79],[1,5,4],[1,6,75],[2,3,29],[2,6,28],[3,5,27],[4,5,65],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (0,1)=10, w=14\",\"Add (3,5)=27, w=41\",\"Add (2,6)=28, w=69\",\"Add (2,3)=29, w=98\",\"Add (4,5)=65, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,87],[1,2,79],[1,5,4],[1,6,75],[2,3,29],[2,6,28],[3,5,27],[4,5,65],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (0,1)=10 Succeeded, w=14\",\"Add (3,5)=27 Succeeded, w=41\",\"Add (2,6)=28 Succeeded, w=69\",\"Add (2,3)=29 Succeeded, w=98\",\"Add (4,5)=65 Succeeded, w=163\",\"Add (5,6)=69 Failed, w=163\",\"Add (1,6)=75 Failed, w=163\",\"Add (1,2)=79 Failed, w=163\",\"Add (0,4)=87 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,87],[1,2,79],[1,5,4],[1,6,75],[2,3,29],[2,6,28],[3,5,27],[4,5,65],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(0,1)=10,(3,5)=27,(2,6)=28,(2,3)=29,(4,5)=65,(5,6)=69,(1,6)=75,(1,2)=79,(0,4)=87]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=14\",\"Find(3)=3, Find(5)=1, Add (3,5)=27 Succeeded, w=41\",\"Find(2)=2, Find(6)=6, Add (2,6)=28 Succeeded, w=69\",\"Find(2)=2, Find(3)=1, Add (2,3)=29 Succeeded, w=98\",\"Find(4)=4, Find(5)=2, Add (4,5)=65 Succeeded, w=163\",\"Find(5)=2, Find(6)=2, Add (5,6)=69 Failed, w=163\",\"Find(1)=2, Find(6)=2, Add (1,6)=75 Failed, w=163\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=163\",\"Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,4,87],[1,2,79],[1,5,4],[1,6,75],[2,3,29],[2,6,28],[3,5,27],[4,5,65],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(0,1)=10,(3,5)=27,(2,6)=28,(2,3)=29,(4,5)=65,(5,6)=69,(1,6)=75,(1,2)=79,(0,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(3)=3, Find(5)=1, Add (3,5)=27 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=28 Succeeded, w=69\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 4, 5: 1, 6: 2}, Find(2)=2, Find(3)=1, Add (2,3)=29 Succeeded, w=98\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(4)=4, Find(5)=2, Add (4,5)=65 Succeeded, w=163\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=69 Failed, w=163\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=75 Failed, w=163\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,7],[0,4,78],[1,2,73],[1,3,96],[2,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,4,78],[1,2,73],[1,3,96],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,4,78],[1,2,73],[1,3,96],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,4,78],[1,2,73],[1,3,96],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,1)=57, w=64\",\"Add (2,3)=72, w=136\",\"Add (0,4)=78, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,4,78],[1,2,73],[1,3,96],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,1)=57 Succeeded, w=64\",\"Add (2,3)=72 Succeeded, w=136\",\"Add (1,2)=73 Failed, w=136\",\"Add (0,4)=78 Succeeded, w=214\",\"Add (1,3)=96 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,4,78],[1,2,73],[1,3,96],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=57,(2,3)=72,(1,2)=73,(0,4)=78,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=64\",\"Find(2)=0, Find(3)=3, Add (2,3)=72 Succeeded, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=136\",\"Find(0)=0, Find(4)=4, Add (0,4)=78 Succeeded, w=214\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,4,78],[1,2,73],[1,3,96],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=57,(2,3)=72,(1,2)=73,(0,4)=78,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=72 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=78 Succeeded, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,9],[0,5,19],[0,6,84],[1,2,31],[1,3,63],[1,4,31],[2,6,63],[4,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,5,19],[0,6,84],[1,2,31],[1,3,63],[1,4,31],[2,6,63],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,5,19],[0,6,84],[1,2,31],[1,3,63],[1,4,31],[2,6,63],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (2,6)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,5,19],[0,6,84],[1,2,31],[1,3,63],[1,4,31],[2,6,63],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (4,5)=15, w=24\",\"Add (0,5)=19, w=43\",\"Add (1,2)=31, w=74\",\"Add (1,3)=63, w=137\",\"Add (2,6)=63, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,5,19],[0,6,84],[1,2,31],[1,3,63],[1,4,31],[2,6,63],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (4,5)=15 Succeeded, w=24\",\"Add (0,5)=19 Succeeded, w=43\",\"Add (1,2)=31 Succeeded, w=74\",\"Add (1,4)=31 Failed, w=74\",\"Add (1,3)=63 Succeeded, w=137\",\"Add (2,6)=63 Succeeded, w=200\",\"Add (0,6)=84 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,5,19],[0,6,84],[1,2,31],[1,3,63],[1,4,31],[2,6,63],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(4,5)=15,(0,5)=19,(1,2)=31,(1,4)=31,(1,3)=63,(2,6)=63,(0,6)=84]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=24\",\"Find(0)=0, Find(5)=4, Add (0,5)=19 Succeeded, w=43\",\"Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=74\",\"Find(1)=0, Find(4)=0, Add (1,4)=31 Failed, w=74\",\"Find(1)=0, Find(3)=3, Add (1,3)=63 Succeeded, w=137\",\"Find(2)=0, Find(6)=6, Add (2,6)=63 Succeeded, w=200\",\"Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,5,19],[0,6,84],[1,2,31],[1,3,63],[1,4,31],[2,6,63],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(4,5)=15,(0,5)=19,(1,2)=31,(1,4)=31,(1,3)=63,(2,6)=63,(0,6)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6}, Find(0)=0, Find(5)=4, Add (0,5)=19 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=31 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(3)=3, Add (1,3)=63 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=63 Succeeded, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,25],[1,2,90],[2,3,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,90],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,90],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"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\":[[0,1,25],[1,2,90],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=14, w=14\",\"Add (0,1)=25, w=39\",\"Add (1,2)=90, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,90],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=14 Succeeded, w=14\",\"Add (0,1)=25 Succeeded, w=39\",\"Add (1,2)=90 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,90],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=14,(0,1)=25,(1,2)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=39\",\"Find(1)=0, Find(2)=2, Add (1,2)=90 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[1,2,90],[2,3,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=14,(0,1)=25,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=90 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,37],[0,2,65],[0,3,95],[0,4,78],[0,5,88],[0,6,73],[1,4,42],[1,5,52],[1,6,57],[1,7,85],[2,3,11],[2,7,29],[3,5,26],[4,5,71],[5,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,65],[0,3,95],[0,4,78],[0,5,88],[0,6,73],[1,4,42],[1,5,52],[1,6,57],[1,7,85],[2,3,11],[2,7,29],[3,5,26],[4,5,71],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,65],[0,3,95],[0,4,78],[0,5,88],[0,6,73],[1,4,42],[1,5,52],[1,6,57],[1,7,85],[2,3,11],[2,7,29],[3,5,26],[4,5,71],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,5)\",\"Add (2,7)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (1,6)\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,65],[0,3,95],[0,4,78],[0,5,88],[0,6,73],[1,4,42],[1,5,52],[1,6,57],[1,7,85],[2,3,11],[2,7,29],[3,5,26],[4,5,71],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (3,5)=26, w=37\",\"Add (2,7)=29, w=66\",\"Add (0,1)=37, w=103\",\"Add (1,4)=42, w=145\",\"Add (1,5)=52, w=197\",\"Add (1,6)=57, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,65],[0,3,95],[0,4,78],[0,5,88],[0,6,73],[1,4,42],[1,5,52],[1,6,57],[1,7,85],[2,3,11],[2,7,29],[3,5,26],[4,5,71],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (3,5)=26 Succeeded, w=37\",\"Add (2,7)=29 Succeeded, w=66\",\"Add (0,1)=37 Succeeded, w=103\",\"Add (1,4)=42 Succeeded, w=145\",\"Add (1,5)=52 Succeeded, w=197\",\"Add (1,6)=57 Succeeded, w=254\",\"Add (5,7)=59 Failed, w=254\",\"Add (0,2)=65 Failed, w=254\",\"Add (4,5)=71 Failed, w=254\",\"Add (0,6)=73 Failed, w=254\",\"Add (0,4)=78 Failed, w=254\",\"Add (1,7)=85 Failed, w=254\",\"Add (0,5)=88 Failed, w=254\",\"Add (0,3)=95 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,65],[0,3,95],[0,4,78],[0,5,88],[0,6,73],[1,4,42],[1,5,52],[1,6,57],[1,7,85],[2,3,11],[2,7,29],[3,5,26],[4,5,71],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(3,5)=26,(2,7)=29,(0,1)=37,(1,4)=42,(1,5)=52,(1,6)=57,(5,7)=59,(0,2)=65,(4,5)=71,(0,6)=73,(0,4)=78,(1,7)=85,(0,5)=88,(0,3)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(3)=2, Find(5)=5, Add (3,5)=26 Succeeded, w=37\",\"Find(2)=2, Find(7)=7, Add (2,7)=29 Succeeded, w=66\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=103\",\"Find(1)=0, Find(4)=4, Add (1,4)=42 Succeeded, w=145\",\"Find(1)=0, Find(5)=2, Add (1,5)=52 Succeeded, w=197\",\"Find(1)=0, Find(6)=6, Add (1,6)=57 Succeeded, w=254\",\"Find(5)=0, Find(7)=0, Add (5,7)=59 Failed, w=254\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=254\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=254\",\"Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=254\",\"Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=254\",\"Find(1)=0, Find(7)=0, Add (1,7)=85 Failed, w=254\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=254\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,65],[0,3,95],[0,4,78],[0,5,88],[0,6,73],[1,4,42],[1,5,52],[1,6,57],[1,7,85],[2,3,11],[2,7,29],[3,5,26],[4,5,71],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(3,5)=26,(2,7)=29,(0,1)=37,(1,4)=42,(1,5)=52,(1,6)=57,(5,7)=59,(0,2)=65,(4,5)=71,(0,6)=73,(0,4)=78,(1,7)=85,(0,5)=88,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=5, Add (3,5)=26 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=29 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 2}, Find(1)=0, Find(4)=4, Add (1,4)=42 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 6, 7: 2}, Find(1)=0, Find(5)=2, Add (1,5)=52 Succeeded, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 0, 7: 2}, Find(1)=0, Find(6)=6, Add (1,6)=57 Succeeded, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=59 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=85 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=254\",\"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)=95 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,25],[0,2,76],[0,3,19],[0,4,88],[1,2,76],[1,3,21],[1,4,10],[2,3,93],[2,4,13],[3,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,76],[0,3,19],[0,4,88],[1,2,76],[1,3,21],[1,4,10],[2,3,93],[2,4,13],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,76],[0,3,19],[0,4,88],[1,2,76],[1,3,21],[1,4,10],[2,3,93],[2,4,13],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,76],[0,3,19],[0,4,88],[1,2,76],[1,3,21],[1,4,10],[2,3,93],[2,4,13],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (1,4)=10, w=11\",\"Add (2,4)=13, w=24\",\"Add (0,3)=19, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,76],[0,3,19],[0,4,88],[1,2,76],[1,3,21],[1,4,10],[2,3,93],[2,4,13],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (1,4)=10 Succeeded, w=11\",\"Add (2,4)=13 Succeeded, w=24\",\"Add (0,3)=19 Succeeded, w=43\",\"Add (1,3)=21 Failed, w=43\",\"Add (0,1)=25 Failed, w=43\",\"Add (0,2)=76 Failed, w=43\",\"Add (1,2)=76 Failed, w=43\",\"Add (0,4)=88 Failed, w=43\",\"Add (2,3)=93 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,76],[0,3,19],[0,4,88],[1,2,76],[1,3,21],[1,4,10],[2,3,93],[2,4,13],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,4)=10,(2,4)=13,(0,3)=19,(1,3)=21,(0,1)=25,(0,2)=76,(1,2)=76,(0,4)=88,(2,3)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=3, Add (1,4)=10 Succeeded, w=11\",\"Find(2)=2, Find(4)=3, Add (2,4)=13 Succeeded, w=24\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=43\",\"Find(1)=3, Find(3)=3, Add (1,3)=21 Failed, w=43\",\"Find(0)=3, Find(1)=3, Add (0,1)=25 Failed, w=43\",\"Find(0)=3, Find(2)=3, Add (0,2)=76 Failed, w=43\",\"Find(1)=3, Find(2)=3, Add (1,2)=76 Failed, w=43\",\"Find(0)=3, Find(4)=3, Add (0,4)=88 Failed, w=43\",\"Find(2)=3, Find(3)=3, Add (2,3)=93 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,76],[0,3,19],[0,4,88],[1,2,76],[1,3,21],[1,4,10],[2,3,93],[2,4,13],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,4)=10,(2,4)=13,(0,3)=19,(1,3)=21,(0,1)=25,(0,2)=76,(1,2)=76,(0,4)=88,(2,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=13 Succeeded, w=24\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=21 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=25 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=76 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=76 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=88 Failed, w=43\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=93 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,78],[0,3,83],[0,5,6],[0,6,1],[1,2,75],[1,4,64],[1,5,95],[1,6,40],[2,3,68],[2,4,19],[2,6,86],[3,5,72],[4,5,27],[4,6,75],[5,6,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,78],[0,3,83],[0,5,6],[0,6,1],[1,2,75],[1,4,64],[1,5,95],[1,6,40],[2,3,68],[2,4,19],[2,6,86],[3,5,72],[4,5,27],[4,6,75],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,78],[0,3,83],[0,5,6],[0,6,1],[1,2,75],[1,4,64],[1,5,95],[1,6,40],[2,3,68],[2,4,19],[2,6,86],[3,5,72],[4,5,27],[4,6,75],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (2,3)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,78],[0,3,83],[0,5,6],[0,6,1],[1,2,75],[1,4,64],[1,5,95],[1,6,40],[2,3,68],[2,4,19],[2,6,86],[3,5,72],[4,5,27],[4,6,75],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (0,5)=6, w=7\",\"Add (2,4)=19, w=26\",\"Add (4,5)=27, w=53\",\"Add (1,6)=40, w=93\",\"Add (2,3)=68, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,78],[0,3,83],[0,5,6],[0,6,1],[1,2,75],[1,4,64],[1,5,95],[1,6,40],[2,3,68],[2,4,19],[2,6,86],[3,5,72],[4,5,27],[4,6,75],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (0,5)=6 Succeeded, w=7\",\"Add (2,4)=19 Succeeded, w=26\",\"Add (4,5)=27 Succeeded, w=53\",\"Add (5,6)=38 Failed, w=53\",\"Add (1,6)=40 Succeeded, w=93\",\"Add (1,4)=64 Failed, w=93\",\"Add (2,3)=68 Succeeded, w=161\",\"Add (3,5)=72 Failed, w=161\",\"Add (1,2)=75 Failed, w=161\",\"Add (4,6)=75 Failed, w=161\",\"Add (0,2)=78 Failed, w=161\",\"Add (0,3)=83 Failed, w=161\",\"Add (2,6)=86 Failed, w=161\",\"Add (1,5)=95 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,78],[0,3,83],[0,5,6],[0,6,1],[1,2,75],[1,4,64],[1,5,95],[1,6,40],[2,3,68],[2,4,19],[2,6,86],[3,5,72],[4,5,27],[4,6,75],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(0,5)=6,(2,4)=19,(4,5)=27,(5,6)=38,(1,6)=40,(1,4)=64,(2,3)=68,(3,5)=72,(1,2)=75,(4,6)=75,(0,2)=78,(0,3)=83,(2,6)=86,(1,5)=95]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=7\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=26\",\"Find(4)=2, Find(5)=0, Add (4,5)=27 Succeeded, w=53\",\"Find(5)=2, Find(6)=2, Add (5,6)=38 Failed, w=53\",\"Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=93\",\"Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=93\",\"Find(2)=2, Find(3)=3, Add (2,3)=68 Succeeded, w=161\",\"Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=161\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=161\",\"Find(4)=2, Find(6)=2, Add (4,6)=75 Failed, w=161\",\"Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=161\",\"Find(0)=2, Find(3)=2, Add (0,3)=83 Failed, w=161\",\"Find(2)=2, Find(6)=2, Add (2,6)=86 Failed, w=161\",\"Find(1)=2, Find(5)=2, Add (1,5)=95 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,78],[0,3,83],[0,5,6],[0,6,1],[1,2,75],[1,4,64],[1,5,95],[1,6,40],[2,3,68],[2,4,19],[2,6,86],[3,5,72],[4,5,27],[4,6,75],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(0,5)=6,(2,4)=19,(4,5)=27,(5,6)=38,(1,6)=40,(1,4)=64,(2,3)=68,(3,5)=72,(1,2)=75,(4,6)=75,(0,2)=78,(0,3)=83,(2,6)=86,(1,5)=95]\",\"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: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=26\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 0}, Find(4)=2, Find(5)=0, Add (4,5)=27 Succeeded, w=53\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=38 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=68 Succeeded, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=75 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=161\",\"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=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=86 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=95 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,17],[0,4,52],[0,5,36],[1,2,78],[1,3,70],[1,4,57],[1,5,36],[2,3,100],[2,4,35],[2,5,54],[3,4,20],[3,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,52],[0,5,36],[1,2,78],[1,3,70],[1,4,57],[1,5,36],[2,3,100],[2,4,35],[2,5,54],[3,4,20],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,52],[0,5,36],[1,2,78],[1,3,70],[1,4,57],[1,5,36],[2,3,100],[2,4,35],[2,5,54],[3,4,20],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (0,4)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,52],[0,5,36],[1,2,78],[1,3,70],[1,4,57],[1,5,36],[2,3,100],[2,4,35],[2,5,54],[3,4,20],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17, w=17\",\"Add (3,4)=20, w=37\",\"Add (2,4)=35, w=72\",\"Add (0,5)=36, w=108\",\"Add (0,4)=52, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,52],[0,5,36],[1,2,78],[1,3,70],[1,4,57],[1,5,36],[2,3,100],[2,4,35],[2,5,54],[3,4,20],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17 Succeeded, w=17\",\"Add (3,4)=20 Succeeded, w=37\",\"Add (2,4)=35 Succeeded, w=72\",\"Add (0,5)=36 Succeeded, w=108\",\"Add (1,5)=36 Failed, w=108\",\"Add (0,4)=52 Succeeded, w=160\",\"Add (2,5)=54 Failed, w=160\",\"Add (1,4)=57 Failed, w=160\",\"Add (1,3)=70 Failed, w=160\",\"Add (1,2)=78 Failed, w=160\",\"Add (3,5)=80 Failed, w=160\",\"Add (2,3)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,52],[0,5,36],[1,2,78],[1,3,70],[1,4,57],[1,5,36],[2,3,100],[2,4,35],[2,5,54],[3,4,20],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(3,4)=20,(2,4)=35,(0,5)=36,(1,5)=36,(0,4)=52,(2,5)=54,(1,4)=57,(1,3)=70,(1,2)=78,(3,5)=80,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=37\",\"Find(2)=2, Find(4)=3, Add (2,4)=35 Succeeded, w=72\",\"Find(0)=0, Find(5)=5, Add (0,5)=36 Succeeded, w=108\",\"Find(1)=0, Find(5)=0, Add (1,5)=36 Failed, w=108\",\"Find(0)=0, Find(4)=3, Add (0,4)=52 Succeeded, w=160\",\"Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=160\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=160\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=160\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=160\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=160\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,52],[0,5,36],[1,2,78],[1,3,70],[1,4,57],[1,5,36],[2,3,100],[2,4,35],[2,5,54],[3,4,20],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(3,4)=20,(2,4)=35,(0,5)=36,(1,5)=36,(0,4)=52,(2,5)=54,(1,4)=57,(1,3)=70,(1,2)=78,(3,5)=80,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=35 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=36 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=36 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(4)=3, Add (0,4)=52 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=160\",\"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=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,69],[0,2,98],[0,3,39],[0,4,32],[1,2,61],[1,3,84],[1,4,2],[2,3,50],[2,4,23],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,98],[0,3,39],[0,4,32],[1,2,61],[1,3,84],[1,4,2],[2,3,50],[2,4,23],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,98],[0,3,39],[0,4,32],[1,2,61],[1,3,84],[1,4,2],[2,3,50],[2,4,23],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,98],[0,3,39],[0,4,32],[1,2,61],[1,3,84],[1,4,2],[2,3,50],[2,4,23],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (3,4)=3, w=5\",\"Add (2,4)=23, w=28\",\"Add (0,4)=32, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,98],[0,3,39],[0,4,32],[1,2,61],[1,3,84],[1,4,2],[2,3,50],[2,4,23],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (3,4)=3 Succeeded, w=5\",\"Add (2,4)=23 Succeeded, w=28\",\"Add (0,4)=32 Succeeded, w=60\",\"Add (0,3)=39 Failed, w=60\",\"Add (2,3)=50 Failed, w=60\",\"Add (1,2)=61 Failed, w=60\",\"Add (0,1)=69 Failed, w=60\",\"Add (1,3)=84 Failed, w=60\",\"Add (0,2)=98 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,98],[0,3,39],[0,4,32],[1,2,61],[1,3,84],[1,4,2],[2,3,50],[2,4,23],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,4)=3,(2,4)=23,(0,4)=32,(0,3)=39,(2,3)=50,(1,2)=61,(0,1)=69,(1,3)=84,(0,2)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=1, Add (3,4)=3 Succeeded, w=5\",\"Find(2)=2, Find(4)=1, Add (2,4)=23 Succeeded, w=28\",\"Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=60\",\"Find(0)=1, Find(3)=1, Add (0,3)=39 Failed, w=60\",\"Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=60\",\"Find(1)=1, Find(2)=1, Add (1,2)=61 Failed, w=60\",\"Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=60\",\"Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=60\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,98],[0,3,39],[0,4,32],[1,2,61],[1,3,84],[1,4,2],[2,3,50],[2,4,23],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,4)=3,(2,4)=23,(0,4)=32,(0,3)=39,(2,3)=50,(1,2)=61,(0,1)=69,(1,3)=84,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=23 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=39 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=61 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=84 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,57],[0,2,54],[0,4,63],[0,5,75],[0,6,56],[0,7,58],[1,2,41],[1,4,67],[1,5,53],[1,6,7],[2,3,85],[2,4,41],[2,5,80],[2,6,84],[2,7,53],[3,4,42],[3,5,8],[3,6,82],[3,7,51],[4,6,17],[4,7,98],[5,6,4],[5,7,97],[6,7,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,54],[0,4,63],[0,5,75],[0,6,56],[0,7,58],[1,2,41],[1,4,67],[1,5,53],[1,6,7],[2,3,85],[2,4,41],[2,5,80],[2,6,84],[2,7,53],[3,4,42],[3,5,8],[3,6,82],[3,7,51],[4,6,17],[4,7,98],[5,6,4],[5,7,97],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,54],[0,4,63],[0,5,75],[0,6,56],[0,7,58],[1,2,41],[1,4,67],[1,5,53],[1,6,7],[2,3,85],[2,4,41],[2,5,80],[2,6,84],[2,7,53],[3,4,42],[3,5,8],[3,6,82],[3,7,51],[4,6,17],[4,7,98],[5,6,4],[5,7,97],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,6)\",\"Add (3,5)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (0,2)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,54],[0,4,63],[0,5,75],[0,6,56],[0,7,58],[1,2,41],[1,4,67],[1,5,53],[1,6,7],[2,3,85],[2,4,41],[2,5,80],[2,6,84],[2,7,53],[3,4,42],[3,5,8],[3,6,82],[3,7,51],[4,6,17],[4,7,98],[5,6,4],[5,7,97],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (1,6)=7, w=11\",\"Add (3,5)=8, w=19\",\"Add (4,6)=17, w=36\",\"Add (1,2)=41, w=77\",\"Add (3,7)=51, w=128\",\"Add (0,2)=54, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,54],[0,4,63],[0,5,75],[0,6,56],[0,7,58],[1,2,41],[1,4,67],[1,5,53],[1,6,7],[2,3,85],[2,4,41],[2,5,80],[2,6,84],[2,7,53],[3,4,42],[3,5,8],[3,6,82],[3,7,51],[4,6,17],[4,7,98],[5,6,4],[5,7,97],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (1,6)=7 Succeeded, w=11\",\"Add (3,5)=8 Succeeded, w=19\",\"Add (4,6)=17 Succeeded, w=36\",\"Add (1,2)=41 Succeeded, w=77\",\"Add (2,4)=41 Failed, w=77\",\"Add (3,4)=42 Failed, w=77\",\"Add (3,7)=51 Succeeded, w=128\",\"Add (1,5)=53 Failed, w=128\",\"Add (2,7)=53 Failed, w=128\",\"Add (0,2)=54 Succeeded, w=182\",\"Add (0,6)=56 Failed, w=182\",\"Add (0,1)=57 Failed, w=182\",\"Add (0,7)=58 Failed, w=182\",\"Add (0,4)=63 Failed, w=182\",\"Add (1,4)=67 Failed, w=182\",\"Add (0,5)=75 Failed, w=182\",\"Add (2,5)=80 Failed, w=182\",\"Add (3,6)=82 Failed, w=182\",\"Add (2,6)=84 Failed, w=182\",\"Add (2,3)=85 Failed, w=182\",\"Add (6,7)=86 Failed, w=182\",\"Add (5,7)=97 Failed, w=182\",\"Add (4,7)=98 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,54],[0,4,63],[0,5,75],[0,6,56],[0,7,58],[1,2,41],[1,4,67],[1,5,53],[1,6,7],[2,3,85],[2,4,41],[2,5,80],[2,6,84],[2,7,53],[3,4,42],[3,5,8],[3,6,82],[3,7,51],[4,6,17],[4,7,98],[5,6,4],[5,7,97],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(1,6)=7,(3,5)=8,(4,6)=17,(1,2)=41,(2,4)=41,(3,4)=42,(3,7)=51,(1,5)=53,(2,7)=53,(0,2)=54,(0,6)=56,(0,1)=57,(0,7)=58,(0,4)=63,(1,4)=67,(0,5)=75,(2,5)=80,(3,6)=82,(2,6)=84,(2,3)=85,(6,7)=86,(5,7)=97,(4,7)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=5, Add (1,6)=7 Succeeded, w=11\",\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=19\",\"Find(4)=4, Find(6)=5, Add (4,6)=17 Succeeded, w=36\",\"Find(1)=5, Find(2)=2, Add (1,2)=41 Succeeded, w=77\",\"Find(2)=5, Find(4)=5, Add (2,4)=41 Failed, w=77\",\"Find(3)=5, Find(4)=5, Add (3,4)=42 Failed, w=77\",\"Find(3)=5, Find(7)=7, Add (3,7)=51 Succeeded, w=128\",\"Find(1)=5, Find(5)=5, Add (1,5)=53 Failed, w=128\",\"Find(2)=5, Find(7)=5, Add (2,7)=53 Failed, w=128\",\"Find(0)=0, Find(2)=5, Add (0,2)=54 Succeeded, w=182\",\"Find(0)=5, Find(6)=5, Add (0,6)=56 Failed, w=182\",\"Find(0)=5, Find(1)=5, Add (0,1)=57 Failed, w=182\",\"Find(0)=5, Find(7)=5, Add (0,7)=58 Failed, w=182\",\"Find(0)=5, Find(4)=5, Add (0,4)=63 Failed, w=182\",\"Find(1)=5, Find(4)=5, Add (1,4)=67 Failed, w=182\",\"Find(0)=5, Find(5)=5, Add (0,5)=75 Failed, w=182\",\"Find(2)=5, Find(5)=5, Add (2,5)=80 Failed, w=182\",\"Find(3)=5, Find(6)=5, Add (3,6)=82 Failed, w=182\",\"Find(2)=5, Find(6)=5, Add (2,6)=84 Failed, w=182\",\"Find(2)=5, Find(3)=5, Add (2,3)=85 Failed, w=182\",\"Find(6)=5, Find(7)=5, Add (6,7)=86 Failed, w=182\",\"Find(5)=5, Find(7)=5, Add (5,7)=97 Failed, w=182\",\"Find(4)=5, Find(7)=5, Add (4,7)=98 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,2,54],[0,4,63],[0,5,75],[0,6,56],[0,7,58],[1,2,41],[1,4,67],[1,5,53],[1,6,7],[2,3,85],[2,4,41],[2,5,80],[2,6,84],[2,7,53],[3,4,42],[3,5,8],[3,6,82],[3,7,51],[4,6,17],[4,7,98],[5,6,4],[5,7,97],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(1,6)=7,(3,5)=8,(4,6)=17,(1,2)=41,(2,4)=41,(3,4)=42,(3,7)=51,(1,5)=53,(2,7)=53,(0,2)=54,(0,6)=56,(0,1)=57,(0,7)=58,(0,4)=63,(1,4)=67,(0,5)=75,(2,5)=80,(3,6)=82,(2,6)=84,(2,3)=85,(6,7)=86,(5,7)=97,(4,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(6)=5, Add (1,6)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(6)=5, Add (4,6)=17 Succeeded, w=36\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 7}, Find(1)=5, Find(2)=2, Add (1,2)=41 Succeeded, w=77\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 7}, Find(2)=5, Find(4)=5, Add (2,4)=41 Failed, w=77\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 7}, Find(3)=5, Find(4)=5, Add (3,4)=42 Failed, w=77\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=7, Add (3,7)=51 Succeeded, w=128\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=53 Failed, w=128\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=53 Failed, w=128\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(2)=5, Add (0,2)=54 Succeeded, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=56 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=57 Failed, w=182\",\"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)=58 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=63 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=67 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=75 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=80 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=82 Failed, w=182\",\"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)=84 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=85 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=86 Failed, w=182\",\"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)=97 Failed, w=182\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=98 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,18],[0,3,68],[0,4,39],[0,5,50],[0,6,20],[0,7,31],[1,2,11],[1,3,59],[1,4,93],[1,5,28],[1,6,72],[1,7,43],[2,3,94],[2,4,71],[2,6,2],[2,7,54],[3,4,20],[3,5,59],[3,6,97],[3,7,97],[4,7,67],[5,6,15],[5,7,32],[6,7,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,18],[0,3,68],[0,4,39],[0,5,50],[0,6,20],[0,7,31],[1,2,11],[1,3,59],[1,4,93],[1,5,28],[1,6,72],[1,7,43],[2,3,94],[2,4,71],[2,6,2],[2,7,54],[3,4,20],[3,5,59],[3,6,97],[3,7,97],[4,7,67],[5,6,15],[5,7,32],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,18],[0,3,68],[0,4,39],[0,5,50],[0,6,20],[0,7,31],[1,2,11],[1,3,59],[1,4,93],[1,5,28],[1,6,72],[1,7,43],[2,3,94],[2,4,71],[2,6,2],[2,7,54],[3,4,20],[3,5,59],[3,6,97],[3,7,97],[4,7,67],[5,6,15],[5,7,32],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,7)\",\"Add (0,4)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,18],[0,3,68],[0,4,39],[0,5,50],[0,6,20],[0,7,31],[1,2,11],[1,3,59],[1,4,93],[1,5,28],[1,6,72],[1,7,43],[2,3,94],[2,4,71],[2,6,2],[2,7,54],[3,4,20],[3,5,59],[3,6,97],[3,7,97],[4,7,67],[5,6,15],[5,7,32],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2, w=2\",\"Add (1,2)=11, w=13\",\"Add (5,6)=15, w=28\",\"Add (0,2)=18, w=46\",\"Add (3,4)=20, w=66\",\"Add (0,7)=31, w=97\",\"Add (0,4)=39, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,18],[0,3,68],[0,4,39],[0,5,50],[0,6,20],[0,7,31],[1,2,11],[1,3,59],[1,4,93],[1,5,28],[1,6,72],[1,7,43],[2,3,94],[2,4,71],[2,6,2],[2,7,54],[3,4,20],[3,5,59],[3,6,97],[3,7,97],[4,7,67],[5,6,15],[5,7,32],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2 Succeeded, w=2\",\"Add (1,2)=11 Succeeded, w=13\",\"Add (5,6)=15 Succeeded, w=28\",\"Add (0,2)=18 Succeeded, w=46\",\"Add (0,6)=20 Failed, w=46\",\"Add (3,4)=20 Succeeded, w=66\",\"Add (1,5)=28 Failed, w=66\",\"Add (0,7)=31 Succeeded, w=97\",\"Add (5,7)=32 Failed, w=97\",\"Add (0,4)=39 Succeeded, w=136\",\"Add (1,7)=43 Failed, w=136\",\"Add (0,5)=50 Failed, w=136\",\"Add (2,7)=54 Failed, w=136\",\"Add (1,3)=59 Failed, w=136\",\"Add (3,5)=59 Failed, w=136\",\"Add (0,1)=60 Failed, w=136\",\"Add (4,7)=67 Failed, w=136\",\"Add (0,3)=68 Failed, w=136\",\"Add (2,4)=71 Failed, w=136\",\"Add (1,6)=72 Failed, w=136\",\"Add (1,4)=93 Failed, w=136\",\"Add (2,3)=94 Failed, w=136\",\"Add (3,6)=97 Failed, w=136\",\"Add (3,7)=97 Failed, w=136\",\"Add (6,7)=100 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,18],[0,3,68],[0,4,39],[0,5,50],[0,6,20],[0,7,31],[1,2,11],[1,3,59],[1,4,93],[1,5,28],[1,6,72],[1,7,43],[2,3,94],[2,4,71],[2,6,2],[2,7,54],[3,4,20],[3,5,59],[3,6,97],[3,7,97],[4,7,67],[5,6,15],[5,7,32],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(1,2)=11,(5,6)=15,(0,2)=18,(0,6)=20,(3,4)=20,(1,5)=28,(0,7)=31,(5,7)=32,(0,4)=39,(1,7)=43,(0,5)=50,(2,7)=54,(1,3)=59,(3,5)=59,(0,1)=60,(4,7)=67,(0,3)=68,(2,4)=71,(1,6)=72,(1,4)=93,(2,3)=94,(3,6)=97,(3,7)=97,(6,7)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=13\",\"Find(5)=5, Find(6)=2, Add (5,6)=15 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=46\",\"Find(0)=2, Find(6)=2, Add (0,6)=20 Failed, w=46\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=66\",\"Find(1)=2, Find(5)=2, Add (1,5)=28 Failed, w=66\",\"Find(0)=2, Find(7)=7, Add (0,7)=31 Succeeded, w=97\",\"Find(5)=2, Find(7)=2, Add (5,7)=32 Failed, w=97\",\"Find(0)=2, Find(4)=3, Add (0,4)=39 Succeeded, w=136\",\"Find(1)=2, Find(7)=2, Add (1,7)=43 Failed, w=136\",\"Find(0)=2, Find(5)=2, Add (0,5)=50 Failed, w=136\",\"Find(2)=2, Find(7)=2, Add (2,7)=54 Failed, w=136\",\"Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=136\",\"Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=136\",\"Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=136\",\"Find(4)=2, Find(7)=2, Add (4,7)=67 Failed, w=136\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=136\",\"Find(2)=2, Find(4)=2, Add (2,4)=71 Failed, w=136\",\"Find(1)=2, Find(6)=2, Add (1,6)=72 Failed, w=136\",\"Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=136\",\"Find(2)=2, Find(3)=2, Add (2,3)=94 Failed, w=136\",\"Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=136\",\"Find(3)=2, Find(7)=2, Add (3,7)=97 Failed, w=136\",\"Find(6)=2, Find(7)=2, Add (6,7)=100 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,18],[0,3,68],[0,4,39],[0,5,50],[0,6,20],[0,7,31],[1,2,11],[1,3,59],[1,4,93],[1,5,28],[1,6,72],[1,7,43],[2,3,94],[2,4,71],[2,6,2],[2,7,54],[3,4,20],[3,5,59],[3,6,97],[3,7,97],[4,7,67],[5,6,15],[5,7,32],[6,7,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(1,2)=11,(5,6)=15,(0,2)=18,(0,6)=20,(3,4)=20,(1,5)=28,(0,7)=31,(5,7)=32,(0,4)=39,(1,7)=43,(0,5)=50,(2,7)=54,(1,3)=59,(3,5)=59,(0,1)=60,(4,7)=67,(0,3)=68,(2,4)=71,(1,6)=72,(1,4)=93,(2,3)=94,(3,6)=97,(3,7)=97,(6,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 7}, Find(5)=5, Find(6)=2, Add (5,6)=15 Succeeded, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(6)=2, Add (0,6)=20 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2, 7: 7}, Find(1)=2, Find(5)=2, Add (1,5)=28 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=7, Add (0,7)=31 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=32 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=3, Add (0,4)=39 Succeeded, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=43 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=50 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=54 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=136\",\"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)=67 Failed, w=136\",\"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)=68 Failed, w=136\",\"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)=71 Failed, w=136\",\"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)=72 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=136\",\"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)=94 Failed, w=136\",\"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)=97 Failed, w=136\",\"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)=97 Failed, w=136\",\"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)=100 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,10],[1,3,21],[1,4,85],[1,5,94],[2,3,46],[2,4,24],[2,5,30],[4,5,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,10],[1,3,21],[1,4,85],[1,5,94],[2,3,46],[2,4,24],[2,5,30],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,10],[1,3,21],[1,4,85],[1,5,94],[2,3,46],[2,4,24],[2,5,30],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,10],[1,3,21],[1,4,85],[1,5,94],[2,3,46],[2,4,24],[2,5,30],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,3)=21, w=31\",\"Add (4,5)=21, w=52\",\"Add (2,4)=24, w=76\",\"Add (2,3)=46, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,10],[1,3,21],[1,4,85],[1,5,94],[2,3,46],[2,4,24],[2,5,30],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,3)=21 Succeeded, w=31\",\"Add (4,5)=21 Succeeded, w=52\",\"Add (2,4)=24 Succeeded, w=76\",\"Add (2,5)=30 Failed, w=76\",\"Add (2,3)=46 Succeeded, w=122\",\"Add (1,4)=85 Failed, w=122\",\"Add (1,5)=94 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,10],[1,3,21],[1,4,85],[1,5,94],[2,3,46],[2,4,24],[2,5,30],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=21,(4,5)=21,(2,4)=24,(2,5)=30,(2,3)=46,(1,4)=85,(1,5)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=31\",\"Find(4)=4, Find(5)=5, Add (4,5)=21 Succeeded, w=52\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=76\",\"Find(2)=4, Find(5)=4, Add (2,5)=30 Failed, w=76\",\"Find(2)=4, Find(3)=0, Add (2,3)=46 Succeeded, w=122\",\"Find(1)=4, Find(4)=4, Add (1,4)=85 Failed, w=122\",\"Find(1)=4, Find(5)=4, Add (1,5)=94 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,10],[1,3,21],[1,4,85],[1,5,94],[2,3,46],[2,4,24],[2,5,30],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=21,(4,5)=21,(2,4)=24,(2,5)=30,(2,3)=46,(1,4)=85,(1,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=21 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=30 Failed, w=76\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4}, Find(2)=4, Find(3)=0, Add (2,3)=46 Succeeded, w=122\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=85 Failed, w=122\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=94 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,3,45],[0,4,93],[0,5,32],[0,6,85],[1,5,66],[1,6,65],[2,3,4],[2,4,70],[2,5,66],[3,4,52],[4,5,44],[4,6,50],[5,6,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,45],[0,4,93],[0,5,32],[0,6,85],[1,5,66],[1,6,65],[2,3,4],[2,4,70],[2,5,66],[3,4,52],[4,5,44],[4,6,50],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,45],[0,4,93],[0,5,32],[0,6,85],[1,5,66],[1,6,65],[2,3,4],[2,4,70],[2,5,66],[3,4,52],[4,5,44],[4,6,50],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,45],[0,4,93],[0,5,32],[0,6,85],[1,5,66],[1,6,65],[2,3,4],[2,4,70],[2,5,66],[3,4,52],[4,5,44],[4,6,50],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,1)=14, w=18\",\"Add (0,5)=32, w=50\",\"Add (4,5)=44, w=94\",\"Add (0,3)=45, w=139\",\"Add (4,6)=50, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,45],[0,4,93],[0,5,32],[0,6,85],[1,5,66],[1,6,65],[2,3,4],[2,4,70],[2,5,66],[3,4,52],[4,5,44],[4,6,50],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,1)=14 Succeeded, w=18\",\"Add (0,5)=32 Succeeded, w=50\",\"Add (4,5)=44 Succeeded, w=94\",\"Add (0,3)=45 Succeeded, w=139\",\"Add (4,6)=50 Succeeded, w=189\",\"Add (3,4)=52 Failed, w=189\",\"Add (5,6)=55 Failed, w=189\",\"Add (1,6)=65 Failed, w=189\",\"Add (1,5)=66 Failed, w=189\",\"Add (2,5)=66 Failed, w=189\",\"Add (2,4)=70 Failed, w=189\",\"Add (0,6)=85 Failed, w=189\",\"Add (0,4)=93 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,45],[0,4,93],[0,5,32],[0,6,85],[1,5,66],[1,6,65],[2,3,4],[2,4,70],[2,5,66],[3,4,52],[4,5,44],[4,6,50],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,1)=14,(0,5)=32,(4,5)=44,(0,3)=45,(4,6)=50,(3,4)=52,(5,6)=55,(1,6)=65,(1,5)=66,(2,5)=66,(2,4)=70,(0,6)=85,(0,4)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=18\",\"Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=50\",\"Find(4)=4, Find(5)=0, Add (4,5)=44 Succeeded, w=94\",\"Find(0)=0, Find(3)=2, Add (0,3)=45 Succeeded, w=139\",\"Find(4)=0, Find(6)=6, Add (4,6)=50 Succeeded, w=189\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=189\",\"Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=189\",\"Find(1)=0, Find(6)=0, Add (1,6)=65 Failed, w=189\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=189\",\"Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=189\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=189\",\"Find(0)=0, Find(6)=0, Add (0,6)=85 Failed, w=189\",\"Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,45],[0,4,93],[0,5,32],[0,6,85],[1,5,66],[1,6,65],[2,3,4],[2,4,70],[2,5,66],[3,4,52],[4,5,44],[4,6,50],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,1)=14,(0,5)=32,(4,5)=44,(0,3)=45,(4,6)=50,(3,4)=52,(5,6)=55,(1,6)=65,(1,5)=66,(2,5)=66,(2,4)=70,(0,6)=85,(0,4)=93]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=44 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=45 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=50 Succeeded, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=65 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=85 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,2,45],[0,3,20],[1,2,50],[1,3,41],[1,4,25],[1,6,71],[2,3,48],[2,5,47],[3,4,16],[3,5,45],[3,6,38],[4,5,67],[4,6,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,45],[0,3,20],[1,2,50],[1,3,41],[1,4,25],[1,6,71],[2,3,48],[2,5,47],[3,4,16],[3,5,45],[3,6,38],[4,5,67],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,45],[0,3,20],[1,2,50],[1,3,41],[1,4,25],[1,6,71],[2,3,48],[2,5,47],[3,4,16],[3,5,45],[3,6,38],[4,5,67],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,45],[0,3,20],[1,2,50],[1,3,41],[1,4,25],[1,6,71],[2,3,48],[2,5,47],[3,4,16],[3,5,45],[3,6,38],[4,5,67],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (3,4)=16, w=25\",\"Add (0,3)=20, w=45\",\"Add (3,6)=38, w=83\",\"Add (0,2)=45, w=128\",\"Add (3,5)=45, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,45],[0,3,20],[1,2,50],[1,3,41],[1,4,25],[1,6,71],[2,3,48],[2,5,47],[3,4,16],[3,5,45],[3,6,38],[4,5,67],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (3,4)=16 Succeeded, w=25\",\"Add (0,3)=20 Succeeded, w=45\",\"Add (1,4)=25 Failed, w=45\",\"Add (3,6)=38 Succeeded, w=83\",\"Add (1,3)=41 Failed, w=83\",\"Add (0,2)=45 Succeeded, w=128\",\"Add (3,5)=45 Succeeded, w=173\",\"Add (2,5)=47 Failed, w=173\",\"Add (2,3)=48 Failed, w=173\",\"Add (1,2)=50 Failed, w=173\",\"Add (4,5)=67 Failed, w=173\",\"Add (1,6)=71 Failed, w=173\",\"Add (4,6)=81 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,45],[0,3,20],[1,2,50],[1,3,41],[1,4,25],[1,6,71],[2,3,48],[2,5,47],[3,4,16],[3,5,45],[3,6,38],[4,5,67],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(3,4)=16,(0,3)=20,(1,4)=25,(3,6)=38,(1,3)=41,(0,2)=45,(3,5)=45,(2,5)=47,(2,3)=48,(1,2)=50,(4,5)=67,(1,6)=71,(4,6)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=25\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=45\",\"Find(1)=0, Find(4)=0, Add (1,4)=25 Failed, w=45\",\"Find(3)=0, Find(6)=6, Add (3,6)=38 Succeeded, w=83\",\"Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=83\",\"Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=128\",\"Find(3)=0, Find(5)=5, Add (3,5)=45 Succeeded, w=173\",\"Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=173\",\"Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=173\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=173\",\"Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=173\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=173\",\"Find(4)=0, Find(6)=0, Add (4,6)=81 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,45],[0,3,20],[1,2,50],[1,3,41],[1,4,25],[1,6,71],[2,3,48],[2,5,47],[3,4,16],[3,5,45],[3,6,38],[4,5,67],[4,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(3,4)=16,(0,3)=20,(1,4)=25,(3,6)=38,(1,3)=41,(0,2)=45,(3,5)=45,(2,5)=47,(2,3)=48,(1,2)=50,(4,5)=67,(1,6)=71,(4,6)=81]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=25 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=38 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=45 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=47 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=81 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,89],[0,3,67],[0,4,61],[1,2,47],[1,3,97],[1,4,99],[2,3,87],[2,4,33],[3,4,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,67],[0,4,61],[1,2,47],[1,3,97],[1,4,99],[2,3,87],[2,4,33],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,67],[0,4,61],[1,2,47],[1,3,97],[1,4,99],[2,3,87],[2,4,33],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,67],[0,4,61],[1,2,47],[1,3,97],[1,4,99],[2,3,87],[2,4,33],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=33, w=33\",\"Add (3,4)=45, w=78\",\"Add (1,2)=47, w=125\",\"Add (0,4)=61, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,67],[0,4,61],[1,2,47],[1,3,97],[1,4,99],[2,3,87],[2,4,33],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=33 Succeeded, w=33\",\"Add (3,4)=45 Succeeded, w=78\",\"Add (1,2)=47 Succeeded, w=125\",\"Add (0,4)=61 Succeeded, w=186\",\"Add (0,3)=67 Failed, w=186\",\"Add (2,3)=87 Failed, w=186\",\"Add (0,2)=89 Failed, w=186\",\"Add (1,3)=97 Failed, w=186\",\"Add (1,4)=99 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,67],[0,4,61],[1,2,47],[1,3,97],[1,4,99],[2,3,87],[2,4,33],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=33,(3,4)=45,(1,2)=47,(0,4)=61,(0,3)=67,(2,3)=87,(0,2)=89,(1,3)=97,(1,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=33\",\"Find(3)=3, Find(4)=2, Add (3,4)=45 Succeeded, w=78\",\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=125\",\"Find(0)=0, Find(4)=2, Add (0,4)=61 Succeeded, w=186\",\"Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=186\",\"Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=186\",\"Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=186\",\"Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=186\",\"Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,67],[0,4,61],[1,2,47],[1,3,97],[1,4,99],[2,3,87],[2,4,33],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=33,(3,4)=45,(1,2)=47,(0,4)=61,(0,3)=67,(2,3)=87,(0,2)=89,(1,3)=97,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=45 Succeeded, w=78\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=61 Succeeded, w=186\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=186\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=186\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=186\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=186\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,4],[0,2,76],[0,3,71],[0,4,94],[0,5,66],[1,2,20],[1,3,32],[1,4,42],[1,5,31],[2,3,34],[2,4,24],[2,5,33],[3,4,0],[3,5,19],[4,5,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,76],[0,3,71],[0,4,94],[0,5,66],[1,2,20],[1,3,32],[1,4,42],[1,5,31],[2,3,34],[2,4,24],[2,5,33],[3,4,0],[3,5,19],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,76],[0,3,71],[0,4,94],[0,5,66],[1,2,20],[1,3,32],[1,4,42],[1,5,31],[2,3,34],[2,4,24],[2,5,33],[3,4,0],[3,5,19],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,76],[0,3,71],[0,4,94],[0,5,66],[1,2,20],[1,3,32],[1,4,42],[1,5,31],[2,3,34],[2,4,24],[2,5,33],[3,4,0],[3,5,19],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (0,1)=4, w=4\",\"Add (3,5)=19, w=23\",\"Add (1,2)=20, w=43\",\"Add (2,4)=24, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,76],[0,3,71],[0,4,94],[0,5,66],[1,2,20],[1,3,32],[1,4,42],[1,5,31],[2,3,34],[2,4,24],[2,5,33],[3,4,0],[3,5,19],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (0,1)=4 Succeeded, w=4\",\"Add (3,5)=19 Succeeded, w=23\",\"Add (1,2)=20 Succeeded, w=43\",\"Add (2,4)=24 Succeeded, w=67\",\"Add (4,5)=24 Failed, w=67\",\"Add (1,5)=31 Failed, w=67\",\"Add (1,3)=32 Failed, w=67\",\"Add (2,5)=33 Failed, w=67\",\"Add (2,3)=34 Failed, w=67\",\"Add (1,4)=42 Failed, w=67\",\"Add (0,5)=66 Failed, w=67\",\"Add (0,3)=71 Failed, w=67\",\"Add (0,2)=76 Failed, w=67\",\"Add (0,4)=94 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,76],[0,3,71],[0,4,94],[0,5,66],[1,2,20],[1,3,32],[1,4,42],[1,5,31],[2,3,34],[2,4,24],[2,5,33],[3,4,0],[3,5,19],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,1)=4,(3,5)=19,(1,2)=20,(2,4)=24,(4,5)=24,(1,5)=31,(1,3)=32,(2,5)=33,(2,3)=34,(1,4)=42,(0,5)=66,(0,3)=71,(0,2)=76,(0,4)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=23\",\"Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=43\",\"Find(2)=0, Find(4)=3, Add (2,4)=24 Succeeded, w=67\",\"Find(4)=0, Find(5)=0, Add (4,5)=24 Failed, w=67\",\"Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=67\",\"Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=67\",\"Find(2)=0, Find(5)=0, Add (2,5)=33 Failed, w=67\",\"Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=67\",\"Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=67\",\"Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=67\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=67\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=67\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,76],[0,3,71],[0,4,94],[0,5,66],[1,2,20],[1,3,32],[1,4,42],[1,5,31],[2,3,34],[2,4,24],[2,5,33],[3,4,0],[3,5,19],[4,5,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(0,1)=4,(3,5)=19,(1,2)=20,(2,4)=24,(4,5)=24,(1,5)=31,(1,3)=32,(2,5)=33,(2,3)=34,(1,4)=42,(0,5)=66,(0,3)=71,(0,2)=76,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3}, Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(2)=0, Find(4)=3, Add (2,4)=24 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=24 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=33 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,17],[0,2,85],[0,3,31],[1,3,96],[1,4,67],[2,3,14],[2,4,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,85],[0,3,31],[1,3,96],[1,4,67],[2,3,14],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,85],[0,3,31],[1,3,96],[1,4,67],[2,3,14],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,85],[0,3,31],[1,3,96],[1,4,67],[2,3,14],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=14, w=14\",\"Add (0,1)=17, w=31\",\"Add (0,3)=31, w=62\",\"Add (2,4)=51, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,85],[0,3,31],[1,3,96],[1,4,67],[2,3,14],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=14 Succeeded, w=14\",\"Add (0,1)=17 Succeeded, w=31\",\"Add (0,3)=31 Succeeded, w=62\",\"Add (2,4)=51 Succeeded, w=113\",\"Add (1,4)=67 Failed, w=113\",\"Add (0,2)=85 Failed, w=113\",\"Add (1,3)=96 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,85],[0,3,31],[1,3,96],[1,4,67],[2,3,14],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=14,(0,1)=17,(0,3)=31,(2,4)=51,(1,4)=67,(0,2)=85,(1,3)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=31\",\"Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=62\",\"Find(2)=0, Find(4)=4, Add (2,4)=51 Succeeded, w=113\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=113\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,85],[0,3,31],[1,3,96],[1,4,67],[2,3,14],[2,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=14,(0,1)=17,(0,3)=31,(2,4)=51,(1,4)=67,(0,2)=85,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=51 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,86],[0,2,77],[0,4,76],[0,5,84],[0,6,39],[1,2,52],[1,3,60],[1,5,38],[1,6,5],[1,7,29],[2,3,71],[2,4,65],[2,6,44],[2,7,100],[3,4,96],[3,5,4],[3,6,11],[3,7,6],[4,6,26],[4,7,8],[5,6,50],[5,7,37],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,77],[0,4,76],[0,5,84],[0,6,39],[1,2,52],[1,3,60],[1,5,38],[1,6,5],[1,7,29],[2,3,71],[2,4,65],[2,6,44],[2,7,100],[3,4,96],[3,5,4],[3,6,11],[3,7,6],[4,6,26],[4,7,8],[5,6,50],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,77],[0,4,76],[0,5,84],[0,6,39],[1,2,52],[1,3,60],[1,5,38],[1,6,5],[1,7,29],[2,3,71],[2,4,65],[2,6,44],[2,7,100],[3,4,96],[3,5,4],[3,6,11],[3,7,6],[4,6,26],[4,7,8],[5,6,50],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,6)\",\"Add (3,7)\",\"Add (4,7)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (2,6)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,77],[0,4,76],[0,5,84],[0,6,39],[1,2,52],[1,3,60],[1,5,38],[1,6,5],[1,7,29],[2,3,71],[2,4,65],[2,6,44],[2,7,100],[3,4,96],[3,5,4],[3,6,11],[3,7,6],[4,6,26],[4,7,8],[5,6,50],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (1,6)=5, w=9\",\"Add (3,7)=6, w=15\",\"Add (4,7)=8, w=23\",\"Add (3,6)=11, w=34\",\"Add (0,6)=39, w=73\",\"Add (2,6)=44, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,77],[0,4,76],[0,5,84],[0,6,39],[1,2,52],[1,3,60],[1,5,38],[1,6,5],[1,7,29],[2,3,71],[2,4,65],[2,6,44],[2,7,100],[3,4,96],[3,5,4],[3,6,11],[3,7,6],[4,6,26],[4,7,8],[5,6,50],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (1,6)=5 Succeeded, w=9\",\"Add (3,7)=6 Succeeded, w=15\",\"Add (4,7)=8 Succeeded, w=23\",\"Add (3,6)=11 Succeeded, w=34\",\"Add (4,6)=26 Failed, w=34\",\"Add (1,7)=29 Failed, w=34\",\"Add (5,7)=37 Failed, w=34\",\"Add (1,5)=38 Failed, w=34\",\"Add (0,6)=39 Succeeded, w=73\",\"Add (2,6)=44 Succeeded, w=117\",\"Add (5,6)=50 Failed, w=117\",\"Add (1,2)=52 Failed, w=117\",\"Add (1,3)=60 Failed, w=117\",\"Add (2,4)=65 Failed, w=117\",\"Add (2,3)=71 Failed, w=117\",\"Add (0,4)=76 Failed, w=117\",\"Add (0,2)=77 Failed, w=117\",\"Add (0,5)=84 Failed, w=117\",\"Add (0,1)=86 Failed, w=117\",\"Add (6,7)=87 Failed, w=117\",\"Add (3,4)=96 Failed, w=117\",\"Add (2,7)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,77],[0,4,76],[0,5,84],[0,6,39],[1,2,52],[1,3,60],[1,5,38],[1,6,5],[1,7,29],[2,3,71],[2,4,65],[2,6,44],[2,7,100],[3,4,96],[3,5,4],[3,6,11],[3,7,6],[4,6,26],[4,7,8],[5,6,50],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(1,6)=5,(3,7)=6,(4,7)=8,(3,6)=11,(4,6)=26,(1,7)=29,(5,7)=37,(1,5)=38,(0,6)=39,(2,6)=44,(5,6)=50,(1,2)=52,(1,3)=60,(2,4)=65,(2,3)=71,(0,4)=76,(0,2)=77,(0,5)=84,(0,1)=86,(6,7)=87,(3,4)=96,(2,7)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=9\",\"Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=15\",\"Find(4)=4, Find(7)=3, Add (4,7)=8 Succeeded, w=23\",\"Find(3)=3, Find(6)=1, Add (3,6)=11 Succeeded, w=34\",\"Find(4)=3, Find(6)=3, Add (4,6)=26 Failed, w=34\",\"Find(1)=3, Find(7)=3, Add (1,7)=29 Failed, w=34\",\"Find(5)=3, Find(7)=3, Add (5,7)=37 Failed, w=34\",\"Find(1)=3, Find(5)=3, Add (1,5)=38 Failed, w=34\",\"Find(0)=0, Find(6)=3, Add (0,6)=39 Succeeded, w=73\",\"Find(2)=2, Find(6)=3, Add (2,6)=44 Succeeded, w=117\",\"Find(5)=3, Find(6)=3, Add (5,6)=50 Failed, w=117\",\"Find(1)=3, Find(2)=3, Add (1,2)=52 Failed, w=117\",\"Find(1)=3, Find(3)=3, Add (1,3)=60 Failed, w=117\",\"Find(2)=3, Find(4)=3, Add (2,4)=65 Failed, w=117\",\"Find(2)=3, Find(3)=3, Add (2,3)=71 Failed, w=117\",\"Find(0)=3, Find(4)=3, Add (0,4)=76 Failed, w=117\",\"Find(0)=3, Find(2)=3, Add (0,2)=77 Failed, w=117\",\"Find(0)=3, Find(5)=3, Add (0,5)=84 Failed, w=117\",\"Find(0)=3, Find(1)=3, Add (0,1)=86 Failed, w=117\",\"Find(6)=3, Find(7)=3, Add (6,7)=87 Failed, w=117\",\"Find(3)=3, Find(4)=3, Add (3,4)=96 Failed, w=117\",\"Find(2)=3, Find(7)=3, Add (2,7)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,77],[0,4,76],[0,5,84],[0,6,39],[1,2,52],[1,3,60],[1,5,38],[1,6,5],[1,7,29],[2,3,71],[2,4,65],[2,6,44],[2,7,100],[3,4,96],[3,5,4],[3,6,11],[3,7,6],[4,6,26],[4,7,8],[5,6,50],[5,7,37],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(1,6)=5,(3,7)=6,(4,7)=8,(3,6)=11,(4,6)=26,(1,7)=29,(5,7)=37,(1,5)=38,(0,6)=39,(2,6)=44,(5,6)=50,(1,2)=52,(1,3)=60,(2,4)=65,(2,3)=71,(0,4)=76,(0,2)=77,(0,5)=84,(0,1)=86,(6,7)=87,(3,4)=96,(2,7)=100]\",\"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)=4 Succeeded, w=4\",\"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)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=8 Succeeded, w=23\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(3)=3, Find(6)=1, Add (3,6)=11 Succeeded, w=34\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=26 Failed, w=34\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=29 Failed, w=34\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=37 Failed, w=34\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=38 Failed, w=34\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(6)=3, Add (0,6)=39 Succeeded, w=73\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=2, Find(6)=3, Add (2,6)=44 Succeeded, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=50 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=52 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=60 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=65 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=71 Failed, w=117\",\"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)=76 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=77 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=84 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=86 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=87 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=96 Failed, w=117\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=100 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,3,3],[1,2,58],[2,3,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,3],[1,2,58],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,3],[1,2,58],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,3],[1,2,58],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,1)=52, w=55\",\"Add (2,3)=57, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,3],[1,2,58],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,1)=52 Succeeded, w=55\",\"Add (2,3)=57 Succeeded, w=112\",\"Add (1,2)=58 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,3],[1,2,58],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,1)=52,(2,3)=57,(1,2)=58]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=55\",\"Find(2)=2, Find(3)=0, Add (2,3)=57 Succeeded, w=112\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,3],[1,2,58],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,1)=52,(2,3)=57,(1,2)=58]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=57 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,27],[2,3,90],[2,4,46],[3,4,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,27],[2,3,90],[2,4,46],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,27],[2,3,90],[2,4,46],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,27],[2,3,90],[2,4,46],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=27, w=27\",\"Add (3,4)=39, w=66\",\"Add (2,4)=46, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,27],[2,3,90],[2,4,46],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=27 Succeeded, w=27\",\"Add (3,4)=39 Succeeded, w=66\",\"Add (2,4)=46 Succeeded, w=112\",\"Add (2,3)=90 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,27],[2,3,90],[2,4,46],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=27,(3,4)=39,(2,4)=46,(2,3)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=27\",\"Find(3)=0, Find(4)=4, Add (3,4)=39 Succeeded, w=66\",\"Find(2)=2, Find(4)=0, Add (2,4)=46 Succeeded, w=112\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,27],[2,3,90],[2,4,46],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=27,(3,4)=39,(2,4)=46,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=39 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=46 Succeeded, w=112\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,84],[0,5,58],[1,5,26],[2,5,22],[2,6,93],[2,7,40],[3,4,68],[3,5,100],[4,5,50],[4,6,37],[5,6,35],[5,7,52],[6,7,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,5,58],[1,5,26],[2,5,22],[2,6,93],[2,7,40],[3,4,68],[3,5,100],[4,5,50],[4,6,37],[5,6,35],[5,7,52],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,5,58],[1,5,26],[2,5,22],[2,6,93],[2,7,40],[3,4,68],[3,5,100],[4,5,50],[4,6,37],[5,6,35],[5,7,52],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (4,6)\",\"Add (2,7)\",\"Add (0,5)\",\"Add (3,4)\"],\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,5,58],[1,5,26],[2,5,22],[2,6,93],[2,7,40],[3,4,68],[3,5,100],[4,5,50],[4,6,37],[5,6,35],[5,7,52],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=22, w=22\",\"Add (1,5)=26, w=48\",\"Add (5,6)=35, w=83\",\"Add (4,6)=37, w=120\",\"Add (2,7)=40, w=160\",\"Add (0,5)=58, w=218\",\"Add (3,4)=68, w=286\"],\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,5,58],[1,5,26],[2,5,22],[2,6,93],[2,7,40],[3,4,68],[3,5,100],[4,5,50],[4,6,37],[5,6,35],[5,7,52],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=22 Succeeded, w=22\",\"Add (1,5)=26 Succeeded, w=48\",\"Add (5,6)=35 Succeeded, w=83\",\"Add (4,6)=37 Succeeded, w=120\",\"Add (2,7)=40 Succeeded, w=160\",\"Add (4,5)=50 Failed, w=160\",\"Add (5,7)=52 Failed, w=160\",\"Add (0,5)=58 Succeeded, w=218\",\"Add (6,7)=62 Failed, w=218\",\"Add (3,4)=68 Succeeded, w=286\",\"Add (0,2)=84 Failed, w=286\",\"Add (2,6)=93 Failed, w=286\",\"Add (3,5)=100 Failed, w=286\"],\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,5,58],[1,5,26],[2,5,22],[2,6,93],[2,7,40],[3,4,68],[3,5,100],[4,5,50],[4,6,37],[5,6,35],[5,7,52],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=22,(1,5)=26,(5,6)=35,(4,6)=37,(2,7)=40,(4,5)=50,(5,7)=52,(0,5)=58,(6,7)=62,(3,4)=68,(0,2)=84,(2,6)=93,(3,5)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=22 Succeeded, w=22\",\"Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=48\",\"Find(5)=2, Find(6)=6, Add (5,6)=35 Succeeded, w=83\",\"Find(4)=4, Find(6)=2, Add (4,6)=37 Succeeded, w=120\",\"Find(2)=2, Find(7)=7, Add (2,7)=40 Succeeded, w=160\",\"Find(4)=2, Find(5)=2, Add (4,5)=50 Failed, w=160\",\"Find(5)=2, Find(7)=2, Add (5,7)=52 Failed, w=160\",\"Find(0)=0, Find(5)=2, Add (0,5)=58 Succeeded, w=218\",\"Find(6)=2, Find(7)=2, Add (6,7)=62 Failed, w=218\",\"Find(3)=3, Find(4)=2, Add (3,4)=68 Succeeded, w=286\",\"Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=286\",\"Find(2)=2, Find(6)=2, Add (2,6)=93 Failed, w=286\",\"Find(3)=2, Find(5)=2, Add (3,5)=100 Failed, w=286\"],\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,5,58],[1,5,26],[2,5,22],[2,6,93],[2,7,40],[3,4,68],[3,5,100],[4,5,50],[4,6,37],[5,6,35],[5,7,52],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=22,(1,5)=26,(5,6)=35,(4,6)=37,(2,7)=40,(4,5)=50,(5,7)=52,(0,5)=58,(6,7)=62,(3,4)=68,(0,2)=84,(2,6)=93,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=48\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=6, Add (5,6)=35 Succeeded, w=83\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=4, Find(6)=2, Add (4,6)=37 Succeeded, w=120\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=40 Succeeded, w=160\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=50 Failed, w=160\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=52 Failed, w=160\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=58 Succeeded, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=62 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=3, Find(4)=2, Add (3,4)=68 Succeeded, w=286\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=286\",\"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)=93 Failed, w=286\",\"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)=100 Failed, w=286\"],\"Answer\":286}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,2,12],[0,3,95],[0,4,99],[0,5,53],[1,2,20],[1,3,29],[1,4,8],[1,5,30],[2,3,51],[2,4,20],[2,5,18],[3,4,59],[3,5,13],[4,5,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,12],[0,3,95],[0,4,99],[0,5,53],[1,2,20],[1,3,29],[1,4,8],[1,5,30],[2,3,51],[2,4,20],[2,5,18],[3,4,59],[3,5,13],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,12],[0,3,95],[0,4,99],[0,5,53],[1,2,20],[1,3,29],[1,4,8],[1,5,30],[2,3,51],[2,4,20],[2,5,18],[3,4,59],[3,5,13],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (1,2)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,12],[0,3,95],[0,4,99],[0,5,53],[1,2,20],[1,3,29],[1,4,8],[1,5,30],[2,3,51],[2,4,20],[2,5,18],[3,4,59],[3,5,13],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (0,2)=12, w=20\",\"Add (3,5)=13, w=33\",\"Add (2,5)=18, w=51\",\"Add (1,2)=20, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,12],[0,3,95],[0,4,99],[0,5,53],[1,2,20],[1,3,29],[1,4,8],[1,5,30],[2,3,51],[2,4,20],[2,5,18],[3,4,59],[3,5,13],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (0,2)=12 Succeeded, w=20\",\"Add (3,5)=13 Succeeded, w=33\",\"Add (2,5)=18 Succeeded, w=51\",\"Add (1,2)=20 Succeeded, w=71\",\"Add (2,4)=20 Failed, w=71\",\"Add (1,3)=29 Failed, w=71\",\"Add (1,5)=30 Failed, w=71\",\"Add (0,1)=50 Failed, w=71\",\"Add (2,3)=51 Failed, w=71\",\"Add (0,5)=53 Failed, w=71\",\"Add (3,4)=59 Failed, w=71\",\"Add (4,5)=75 Failed, w=71\",\"Add (0,3)=95 Failed, w=71\",\"Add (0,4)=99 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,12],[0,3,95],[0,4,99],[0,5,53],[1,2,20],[1,3,29],[1,4,8],[1,5,30],[2,3,51],[2,4,20],[2,5,18],[3,4,59],[3,5,13],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(0,2)=12,(3,5)=13,(2,5)=18,(1,2)=20,(2,4)=20,(1,3)=29,(1,5)=30,(0,1)=50,(2,3)=51,(0,5)=53,(3,4)=59,(4,5)=75,(0,3)=95,(0,4)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=20\",\"Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=33\",\"Find(2)=0, Find(5)=3, Add (2,5)=18 Succeeded, w=51\",\"Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=71\",\"Find(2)=0, Find(4)=0, Add (2,4)=20 Failed, w=71\",\"Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=71\",\"Find(1)=0, Find(5)=0, Add (1,5)=30 Failed, w=71\",\"Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=71\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=71\",\"Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=71\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=71\",\"Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=71\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=71\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,12],[0,3,95],[0,4,99],[0,5,53],[1,2,20],[1,3,29],[1,4,8],[1,5,30],[2,3,51],[2,4,20],[2,5,18],[3,4,59],[3,5,13],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(0,2)=12,(3,5)=13,(2,5)=18,(1,2)=20,(2,4)=20,(1,3)=29,(1,5)=30,(0,1)=50,(2,3)=51,(0,5)=53,(3,4)=59,(4,5)=75,(0,3)=95,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 3}, Find(2)=0, Find(5)=3, Add (2,5)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3}, Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(4)=0, Add (2,4)=20 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=30 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=71\",\"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=71\",\"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=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,9],[0,2,34],[0,3,22],[0,4,73],[0,5,64],[0,7,15],[1,2,6],[1,3,97],[1,4,82],[1,5,77],[1,6,91],[1,7,6],[2,3,90],[2,4,40],[2,5,50],[2,6,19],[2,7,11],[3,4,88],[3,5,23],[3,6,13],[3,7,61],[4,5,36],[4,6,32],[4,7,15],[5,6,67],[5,7,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,34],[0,3,22],[0,4,73],[0,5,64],[0,7,15],[1,2,6],[1,3,97],[1,4,82],[1,5,77],[1,6,91],[1,7,6],[2,3,90],[2,4,40],[2,5,50],[2,6,19],[2,7,11],[3,4,88],[3,5,23],[3,6,13],[3,7,61],[4,5,36],[4,6,32],[4,7,15],[5,6,67],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,34],[0,3,22],[0,4,73],[0,5,64],[0,7,15],[1,2,6],[1,3,97],[1,4,82],[1,5,77],[1,6,91],[1,7,6],[2,3,90],[2,4,40],[2,5,50],[2,6,19],[2,7,11],[3,4,88],[3,5,23],[3,6,13],[3,7,61],[4,5,36],[4,6,32],[4,7,15],[5,6,67],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,7)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (2,6)\",\"Add (3,5)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,34],[0,3,22],[0,4,73],[0,5,64],[0,7,15],[1,2,6],[1,3,97],[1,4,82],[1,5,77],[1,6,91],[1,7,6],[2,3,90],[2,4,40],[2,5,50],[2,6,19],[2,7,11],[3,4,88],[3,5,23],[3,6,13],[3,7,61],[4,5,36],[4,6,32],[4,7,15],[5,6,67],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (1,7)=6, w=12\",\"Add (0,1)=9, w=21\",\"Add (3,6)=13, w=34\",\"Add (4,7)=15, w=49\",\"Add (2,6)=19, w=68\",\"Add (3,5)=23, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,34],[0,3,22],[0,4,73],[0,5,64],[0,7,15],[1,2,6],[1,3,97],[1,4,82],[1,5,77],[1,6,91],[1,7,6],[2,3,90],[2,4,40],[2,5,50],[2,6,19],[2,7,11],[3,4,88],[3,5,23],[3,6,13],[3,7,61],[4,5,36],[4,6,32],[4,7,15],[5,6,67],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (1,7)=6 Succeeded, w=12\",\"Add (0,1)=9 Succeeded, w=21\",\"Add (2,7)=11 Failed, w=21\",\"Add (3,6)=13 Succeeded, w=34\",\"Add (0,7)=15 Failed, w=34\",\"Add (4,7)=15 Succeeded, w=49\",\"Add (2,6)=19 Succeeded, w=68\",\"Add (0,3)=22 Failed, w=68\",\"Add (3,5)=23 Succeeded, w=91\",\"Add (4,6)=32 Failed, w=91\",\"Add (0,2)=34 Failed, w=91\",\"Add (4,5)=36 Failed, w=91\",\"Add (2,4)=40 Failed, w=91\",\"Add (2,5)=50 Failed, w=91\",\"Add (3,7)=61 Failed, w=91\",\"Add (0,5)=64 Failed, w=91\",\"Add (5,6)=67 Failed, w=91\",\"Add (0,4)=73 Failed, w=91\",\"Add (1,5)=77 Failed, w=91\",\"Add (1,4)=82 Failed, w=91\",\"Add (3,4)=88 Failed, w=91\",\"Add (2,3)=90 Failed, w=91\",\"Add (1,6)=91 Failed, w=91\",\"Add (1,3)=97 Failed, w=91\",\"Add (5,7)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,34],[0,3,22],[0,4,73],[0,5,64],[0,7,15],[1,2,6],[1,3,97],[1,4,82],[1,5,77],[1,6,91],[1,7,6],[2,3,90],[2,4,40],[2,5,50],[2,6,19],[2,7,11],[3,4,88],[3,5,23],[3,6,13],[3,7,61],[4,5,36],[4,6,32],[4,7,15],[5,6,67],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,7)=6,(0,1)=9,(2,7)=11,(3,6)=13,(0,7)=15,(4,7)=15,(2,6)=19,(0,3)=22,(3,5)=23,(4,6)=32,(0,2)=34,(4,5)=36,(2,4)=40,(2,5)=50,(3,7)=61,(0,5)=64,(5,6)=67,(0,4)=73,(1,5)=77,(1,4)=82,(3,4)=88,(2,3)=90,(1,6)=91,(1,3)=97,(5,7)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=21\",\"Find(2)=1, Find(7)=1, Add (2,7)=11 Failed, w=21\",\"Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=34\",\"Find(0)=1, Find(7)=1, Add (0,7)=15 Failed, w=34\",\"Find(4)=4, Find(7)=1, Add (4,7)=15 Succeeded, w=49\",\"Find(2)=1, Find(6)=3, Add (2,6)=19 Succeeded, w=68\",\"Find(0)=1, Find(3)=1, Add (0,3)=22 Failed, w=68\",\"Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=91\",\"Find(4)=1, Find(6)=1, Add (4,6)=32 Failed, w=91\",\"Find(0)=1, Find(2)=1, Add (0,2)=34 Failed, w=91\",\"Find(4)=1, Find(5)=1, Add (4,5)=36 Failed, w=91\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=91\",\"Find(2)=1, Find(5)=1, Add (2,5)=50 Failed, w=91\",\"Find(3)=1, Find(7)=1, Add (3,7)=61 Failed, w=91\",\"Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=91\",\"Find(5)=1, Find(6)=1, Add (5,6)=67 Failed, w=91\",\"Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=91\",\"Find(1)=1, Find(5)=1, Add (1,5)=77 Failed, w=91\",\"Find(1)=1, Find(4)=1, Add (1,4)=82 Failed, w=91\",\"Find(3)=1, Find(4)=1, Add (3,4)=88 Failed, w=91\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=91\",\"Find(1)=1, Find(6)=1, Add (1,6)=91 Failed, w=91\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=91\",\"Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,34],[0,3,22],[0,4,73],[0,5,64],[0,7,15],[1,2,6],[1,3,97],[1,4,82],[1,5,77],[1,6,91],[1,7,6],[2,3,90],[2,4,40],[2,5,50],[2,6,19],[2,7,11],[3,4,88],[3,5,23],[3,6,13],[3,7,61],[4,5,36],[4,6,32],[4,7,15],[5,6,67],[5,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,7)=6,(0,1)=9,(2,7)=11,(3,6)=13,(0,7)=15,(4,7)=15,(2,6)=19,(0,3)=22,(3,5)=23,(4,6)=32,(0,2)=34,(4,5)=36,(2,4)=40,(2,5)=50,(3,7)=61,(0,5)=64,(5,6)=67,(0,4)=73,(1,5)=77,(1,4)=82,(3,4)=88,(2,3)=90,(1,6)=91,(1,3)=97,(5,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=11 Failed, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3, 7: 1}, Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=15 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=15 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3, 7: 1}, Find(2)=1, Find(6)=3, Add (2,6)=19 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=22 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=91\",\"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)=32 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=34 Failed, w=91\",\"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)=36 Failed, w=91\",\"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)=40 Failed, w=91\",\"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)=50 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=61 Failed, w=91\",\"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)=64 Failed, w=91\",\"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)=67 Failed, w=91\",\"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)=73 Failed, w=91\",\"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)=77 Failed, w=91\",\"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)=82 Failed, w=91\",\"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)=88 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=91 Failed, w=91\",\"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)=97 Failed, w=91\",\"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)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[0,2,97],[0,3,96],[0,4,16],[1,2,85],[1,3,36],[1,4,29],[2,3,99],[2,4,70],[3,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,97],[0,3,96],[0,4,16],[1,2,85],[1,3,36],[1,4,29],[2,3,99],[2,4,70],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,97],[0,3,96],[0,4,16],[1,2,85],[1,3,36],[1,4,29],[2,3,99],[2,4,70],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,97],[0,3,96],[0,4,16],[1,2,85],[1,3,36],[1,4,29],[2,3,99],[2,4,70],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16, w=16\",\"Add (1,4)=29, w=45\",\"Add (1,3)=36, w=81\",\"Add (2,4)=70, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,97],[0,3,96],[0,4,16],[1,2,85],[1,3,36],[1,4,29],[2,3,99],[2,4,70],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16 Succeeded, w=16\",\"Add (1,4)=29 Succeeded, w=45\",\"Add (1,3)=36 Succeeded, w=81\",\"Add (0,1)=41 Failed, w=81\",\"Add (2,4)=70 Succeeded, w=151\",\"Add (1,2)=85 Failed, w=151\",\"Add (3,4)=91 Failed, w=151\",\"Add (0,3)=96 Failed, w=151\",\"Add (0,2)=97 Failed, w=151\",\"Add (2,3)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,97],[0,3,96],[0,4,16],[1,2,85],[1,3,36],[1,4,29],[2,3,99],[2,4,70],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(1,4)=29,(1,3)=36,(0,1)=41,(2,4)=70,(1,2)=85,(3,4)=91,(0,3)=96,(0,2)=97,(2,3)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Find(1)=1, Find(4)=0, Add (1,4)=29 Succeeded, w=45\",\"Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=81\",\"Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=81\",\"Find(2)=2, Find(4)=0, Add (2,4)=70 Succeeded, w=151\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=151\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=151\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=151\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=151\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,97],[0,3,96],[0,4,16],[1,2,85],[1,3,36],[1,4,29],[2,3,99],[2,4,70],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(1,4)=29,(1,3)=36,(0,1)=41,(2,4)=70,(1,2)=85,(3,4)=91,(0,3)=96,(0,2)=97,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=29 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=70 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,27],[0,3,93],[0,4,58],[0,5,82],[0,6,82],[1,2,50],[1,3,54],[1,4,31],[1,5,32],[1,6,66],[2,3,10],[2,4,1],[2,5,64],[2,6,99],[3,4,57],[3,6,96],[4,5,6],[4,6,40],[5,6,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,93],[0,4,58],[0,5,82],[0,6,82],[1,2,50],[1,3,54],[1,4,31],[1,5,32],[1,6,66],[2,3,10],[2,4,1],[2,5,64],[2,6,99],[3,4,57],[3,6,96],[4,5,6],[4,6,40],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,93],[0,4,58],[0,5,82],[0,6,82],[1,2,50],[1,3,54],[1,4,31],[1,5,32],[1,6,66],[2,3,10],[2,4,1],[2,5,64],[2,6,99],[3,4,57],[3,6,96],[4,5,6],[4,6,40],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (4,6)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,93],[0,4,58],[0,5,82],[0,6,82],[1,2,50],[1,3,54],[1,4,31],[1,5,32],[1,6,66],[2,3,10],[2,4,1],[2,5,64],[2,6,99],[3,4,57],[3,6,96],[4,5,6],[4,6,40],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (4,5)=6, w=7\",\"Add (2,3)=10, w=17\",\"Add (0,2)=27, w=44\",\"Add (1,4)=31, w=75\",\"Add (4,6)=40, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,93],[0,4,58],[0,5,82],[0,6,82],[1,2,50],[1,3,54],[1,4,31],[1,5,32],[1,6,66],[2,3,10],[2,4,1],[2,5,64],[2,6,99],[3,4,57],[3,6,96],[4,5,6],[4,6,40],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (4,5)=6 Succeeded, w=7\",\"Add (2,3)=10 Succeeded, w=17\",\"Add (0,2)=27 Succeeded, w=44\",\"Add (1,4)=31 Succeeded, w=75\",\"Add (1,5)=32 Failed, w=75\",\"Add (4,6)=40 Succeeded, w=115\",\"Add (1,2)=50 Failed, w=115\",\"Add (1,3)=54 Failed, w=115\",\"Add (3,4)=57 Failed, w=115\",\"Add (0,4)=58 Failed, w=115\",\"Add (2,5)=64 Failed, w=115\",\"Add (1,6)=66 Failed, w=115\",\"Add (5,6)=71 Failed, w=115\",\"Add (0,5)=82 Failed, w=115\",\"Add (0,6)=82 Failed, w=115\",\"Add (0,3)=93 Failed, w=115\",\"Add (3,6)=96 Failed, w=115\",\"Add (2,6)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,93],[0,4,58],[0,5,82],[0,6,82],[1,2,50],[1,3,54],[1,4,31],[1,5,32],[1,6,66],[2,3,10],[2,4,1],[2,5,64],[2,6,99],[3,4,57],[3,6,96],[4,5,6],[4,6,40],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=6,(2,3)=10,(0,2)=27,(1,4)=31,(1,5)=32,(4,6)=40,(1,2)=50,(1,3)=54,(3,4)=57,(0,4)=58,(2,5)=64,(1,6)=66,(5,6)=71,(0,5)=82,(0,6)=82,(0,3)=93,(3,6)=96,(2,6)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(4)=2, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=44\",\"Find(1)=1, Find(4)=2, Add (1,4)=31 Succeeded, w=75\",\"Find(1)=2, Find(5)=2, Add (1,5)=32 Failed, w=75\",\"Find(4)=2, Find(6)=6, Add (4,6)=40 Succeeded, w=115\",\"Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=115\",\"Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=115\",\"Find(3)=2, Find(4)=2, Add (3,4)=57 Failed, w=115\",\"Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=115\",\"Find(2)=2, Find(5)=2, Add (2,5)=64 Failed, w=115\",\"Find(1)=2, Find(6)=2, Add (1,6)=66 Failed, w=115\",\"Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=115\",\"Find(0)=2, Find(5)=2, Add (0,5)=82 Failed, w=115\",\"Find(0)=2, Find(6)=2, Add (0,6)=82 Failed, w=115\",\"Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=115\",\"Find(3)=2, Find(6)=2, Add (3,6)=96 Failed, w=115\",\"Find(2)=2, Find(6)=2, Add (2,6)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,93],[0,4,58],[0,5,82],[0,6,82],[1,2,50],[1,3,54],[1,4,31],[1,5,32],[1,6,66],[2,3,10],[2,4,1],[2,5,64],[2,6,99],[3,4,57],[3,6,96],[4,5,6],[4,6,40],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=6,(2,3)=10,(0,2)=27,(1,4)=31,(1,5)=32,(4,6)=40,(1,2)=50,(1,3)=54,(3,4)=57,(0,4)=58,(2,5)=64,(1,6)=66,(5,6)=71,(0,5)=82,(0,6)=82,(0,3)=93,(3,6)=96,(2,6)=99]\",\"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)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(4)=2, Add (1,4)=31 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(5)=2, Add (1,5)=32 Failed, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=40 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=57 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=64 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=66 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=82 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=82 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=96 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=99 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,69],[0,4,45],[1,2,53],[1,3,76],[1,4,79],[2,3,42],[2,4,31],[3,4,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,4,45],[1,2,53],[1,3,76],[1,4,79],[2,3,42],[2,4,31],[3,4,67]]}",
"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\":[[0,2,69],[0,4,45],[1,2,53],[1,3,76],[1,4,79],[2,3,42],[2,4,31],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,4,45],[1,2,53],[1,3,76],[1,4,79],[2,3,42],[2,4,31],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=31, w=31\",\"Add (2,3)=42, w=73\",\"Add (0,4)=45, w=118\",\"Add (1,2)=53, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,4,45],[1,2,53],[1,3,76],[1,4,79],[2,3,42],[2,4,31],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=31 Succeeded, w=31\",\"Add (2,3)=42 Succeeded, w=73\",\"Add (0,4)=45 Succeeded, w=118\",\"Add (1,2)=53 Succeeded, w=171\",\"Add (3,4)=67 Failed, w=171\",\"Add (0,2)=69 Failed, w=171\",\"Add (1,3)=76 Failed, w=171\",\"Add (1,4)=79 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\":[[0,2,69],[0,4,45],[1,2,53],[1,3,76],[1,4,79],[2,3,42],[2,4,31],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=31,(2,3)=42,(0,4)=45,(1,2)=53,(3,4)=67,(0,2)=69,(1,3)=76,(1,4)=79]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=31\",\"Find(2)=2, Find(3)=3, Add (2,3)=42 Succeeded, w=73\",\"Find(0)=0, Find(4)=2, Add (0,4)=45 Succeeded, w=118\",\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=171\",\"Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=171\",\"Find(0)=2, Find(2)=2, Add (0,2)=69 Failed, w=171\",\"Find(1)=2, Find(3)=2, Add (1,3)=76 Failed, w=171\",\"Find(1)=2, Find(4)=2, Add (1,4)=79 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\":[[0,2,69],[0,4,45],[1,2,53],[1,3,76],[1,4,79],[2,3,42],[2,4,31],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=31,(2,3)=42,(0,4)=45,(1,2)=53,(3,4)=67,(0,2)=69,(1,3)=76,(1,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=42 Succeeded, w=73\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=45 Succeeded, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=69 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=76 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=79 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,1],[0,3,54],[0,4,59],[0,5,53],[0,6,17],[0,7,47],[1,2,76],[1,5,61],[1,6,75],[1,7,1],[2,3,71],[2,4,76],[3,5,75],[3,6,1],[3,7,54],[5,6,11],[5,7,19],[6,7,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,3,54],[0,4,59],[0,5,53],[0,6,17],[0,7,47],[1,2,76],[1,5,61],[1,6,75],[1,7,1],[2,3,71],[2,4,76],[3,5,75],[3,6,1],[3,7,54],[5,6,11],[5,7,19],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,3,54],[0,4,59],[0,5,53],[0,6,17],[0,7,47],[1,2,76],[1,5,61],[1,6,75],[1,7,1],[2,3,71],[2,4,76],[3,5,75],[3,6,1],[3,7,54],[5,6,11],[5,7,19],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,7)\",\"Add (3,6)\",\"Add (6,7)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,3,54],[0,4,59],[0,5,53],[0,6,17],[0,7,47],[1,2,76],[1,5,61],[1,6,75],[1,7,1],[2,3,71],[2,4,76],[3,5,75],[3,6,1],[3,7,54],[5,6,11],[5,7,19],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (1,7)=1, w=2\",\"Add (3,6)=1, w=3\",\"Add (6,7)=3, w=6\",\"Add (5,6)=11, w=17\",\"Add (0,4)=59, w=76\",\"Add (2,3)=71, w=147\"],\"Answer\":147}",
"role": "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],[0,3,54],[0,4,59],[0,5,53],[0,6,17],[0,7,47],[1,2,76],[1,5,61],[1,6,75],[1,7,1],[2,3,71],[2,4,76],[3,5,75],[3,6,1],[3,7,54],[5,6,11],[5,7,19],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (1,7)=1 Succeeded, w=2\",\"Add (3,6)=1 Succeeded, w=3\",\"Add (6,7)=3 Succeeded, w=6\",\"Add (5,6)=11 Succeeded, w=17\",\"Add (0,6)=17 Failed, w=17\",\"Add (5,7)=19 Failed, w=17\",\"Add (0,7)=47 Failed, w=17\",\"Add (0,5)=53 Failed, w=17\",\"Add (0,3)=54 Failed, w=17\",\"Add (3,7)=54 Failed, w=17\",\"Add (0,4)=59 Succeeded, w=76\",\"Add (1,5)=61 Failed, w=76\",\"Add (2,3)=71 Succeeded, w=147\",\"Add (1,6)=75 Failed, w=147\",\"Add (3,5)=75 Failed, w=147\",\"Add (1,2)=76 Failed, w=147\",\"Add (2,4)=76 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,3,54],[0,4,59],[0,5,53],[0,6,17],[0,7,47],[1,2,76],[1,5,61],[1,6,75],[1,7,1],[2,3,71],[2,4,76],[3,5,75],[3,6,1],[3,7,54],[5,6,11],[5,7,19],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,7)=1,(3,6)=1,(6,7)=3,(5,6)=11,(0,6)=17,(5,7)=19,(0,7)=47,(0,5)=53,(0,3)=54,(3,7)=54,(0,4)=59,(1,5)=61,(2,3)=71,(1,6)=75,(3,5)=75,(1,2)=76,(2,4)=76]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(1)=0, Find(7)=7, Add (1,7)=1 Succeeded, w=2\",\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=3\",\"Find(6)=3, Find(7)=0, Add (6,7)=3 Succeeded, w=6\",\"Find(5)=5, Find(6)=3, Add (5,6)=11 Succeeded, w=17\",\"Find(0)=3, Find(6)=3, Add (0,6)=17 Failed, w=17\",\"Find(5)=3, Find(7)=3, Add (5,7)=19 Failed, w=17\",\"Find(0)=3, Find(7)=3, Add (0,7)=47 Failed, w=17\",\"Find(0)=3, Find(5)=3, Add (0,5)=53 Failed, w=17\",\"Find(0)=3, Find(3)=3, Add (0,3)=54 Failed, w=17\",\"Find(3)=3, Find(7)=3, Add (3,7)=54 Failed, w=17\",\"Find(0)=3, Find(4)=4, Add (0,4)=59 Succeeded, w=76\",\"Find(1)=3, Find(5)=3, Add (1,5)=61 Failed, w=76\",\"Find(2)=2, Find(3)=3, Add (2,3)=71 Succeeded, w=147\",\"Find(1)=3, Find(6)=3, Add (1,6)=75 Failed, w=147\",\"Find(3)=3, Find(5)=3, Add (3,5)=75 Failed, w=147\",\"Find(1)=3, Find(2)=3, Add (1,2)=76 Failed, w=147\",\"Find(2)=3, Find(4)=3, Add (2,4)=76 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,3,54],[0,4,59],[0,5,53],[0,6,17],[0,7,47],[1,2,76],[1,5,61],[1,6,75],[1,7,1],[2,3,71],[2,4,76],[3,5,75],[3,6,1],[3,7,54],[5,6,11],[5,7,19],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,7)=1,(3,6)=1,(6,7)=3,(5,6)=11,(0,6)=17,(5,7)=19,(0,7)=47,(0,5)=53,(0,3)=54,(3,7)=54,(0,4)=59,(1,5)=61,(2,3)=71,(1,6)=75,(3,5)=75,(1,2)=76,(2,4)=76]\",\"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: 0}, Find(1)=0, Find(7)=7, Add (1,7)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=3\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 0}, Find(6)=3, Find(7)=0, Add (6,7)=3 Succeeded, w=6\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(5)=5, Find(6)=3, Add (5,6)=11 Succeeded, w=17\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 0}, Find(0)=3, Find(6)=3, Add (0,6)=17 Failed, w=17\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=19 Failed, w=17\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=47 Failed, w=17\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=53 Failed, w=17\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=54 Failed, w=17\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=54 Failed, w=17\",\"Parent: {0: 3, 1: 0, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=4, Add (0,4)=59 Succeeded, w=76\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=61 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=71 Succeeded, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=75 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=75 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=76 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=76 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[]\",\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[]\",\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,69],[0,2,27],[1,2,0],[1,3,18],[2,3,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,27],[1,2,0],[1,3,18],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,27],[1,2,0],[1,3,18],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,27],[1,2,0],[1,3,18],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (2,3)=4, w=4\",\"Add (0,2)=27, w=31\"],\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,27],[1,2,0],[1,3,18],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (2,3)=4 Succeeded, w=4\",\"Add (1,3)=18 Failed, w=4\",\"Add (0,2)=27 Succeeded, w=31\",\"Add (0,1)=69 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,27],[1,2,0],[1,3,18],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(2,3)=4,(1,3)=18,(0,2)=27,(0,1)=69]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(2)=1, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=1, Add (1,3)=18 Failed, w=4\",\"Find(0)=0, Find(2)=1, Add (0,2)=27 Succeeded, w=31\",\"Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,27],[1,2,0],[1,3,18],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(2,3)=4,(1,3)=18,(0,2)=27,(0,1)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=18 Failed, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=27 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,2,58],[0,3,47],[0,4,6],[1,3,31],[1,4,12],[2,3,37],[2,4,87],[3,4,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,58],[0,3,47],[0,4,6],[1,3,31],[1,4,12],[2,3,37],[2,4,87],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,58],[0,3,47],[0,4,6],[1,3,31],[1,4,12],[2,3,37],[2,4,87],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,58],[0,3,47],[0,4,6],[1,3,31],[1,4,12],[2,3,37],[2,4,87],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (1,4)=12, w=18\",\"Add (1,3)=31, w=49\",\"Add (2,3)=37, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,58],[0,3,47],[0,4,6],[1,3,31],[1,4,12],[2,3,37],[2,4,87],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (1,4)=12 Succeeded, w=18\",\"Add (1,3)=31 Succeeded, w=49\",\"Add (3,4)=33 Failed, w=49\",\"Add (2,3)=37 Succeeded, w=86\",\"Add (0,3)=47 Failed, w=86\",\"Add (0,1)=49 Failed, w=86\",\"Add (0,2)=58 Failed, w=86\",\"Add (2,4)=87 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,58],[0,3,47],[0,4,6],[1,3,31],[1,4,12],[2,3,37],[2,4,87],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(1,4)=12,(1,3)=31,(3,4)=33,(2,3)=37,(0,3)=47,(0,1)=49,(0,2)=58,(2,4)=87]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=0, Add (1,4)=12 Succeeded, w=18\",\"Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=49\",\"Find(3)=0, Find(4)=0, Add (3,4)=33 Failed, w=49\",\"Find(2)=2, Find(3)=0, Add (2,3)=37 Succeeded, w=86\",\"Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=86\",\"Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=86\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=86\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,58],[0,3,47],[0,4,6],[1,3,31],[1,4,12],[2,3,37],[2,4,87],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(1,4)=12,(1,3)=31,(3,4)=33,(2,3)=37,(0,3)=47,(0,1)=49,(0,2)=58,(2,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=33 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=37 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=47 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,37],[0,3,9],[0,4,18],[0,5,35],[0,6,90],[0,7,19],[1,2,97],[1,3,64],[1,4,43],[1,6,79],[1,7,24],[2,3,27],[2,4,80],[3,4,50],[3,5,8],[3,6,94],[3,7,88],[4,5,69],[4,6,98],[5,6,90],[5,7,41],[6,7,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,37],[0,3,9],[0,4,18],[0,5,35],[0,6,90],[0,7,19],[1,2,97],[1,3,64],[1,4,43],[1,6,79],[1,7,24],[2,3,27],[2,4,80],[3,4,50],[3,5,8],[3,6,94],[3,7,88],[4,5,69],[4,6,98],[5,6,90],[5,7,41],[6,7,57]]}",
"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\":[[0,1,60],[0,2,37],[0,3,9],[0,4,18],[0,5,35],[0,6,90],[0,7,19],[1,2,97],[1,3,64],[1,4,43],[1,6,79],[1,7,24],[2,3,27],[2,4,80],[3,4,50],[3,5,8],[3,6,94],[3,7,88],[4,5,69],[4,6,98],[5,6,90],[5,7,41],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (0,7)\",\"Add (1,7)\",\"Add (2,3)\",\"Add (6,7)\"],\"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\":[[0,1,60],[0,2,37],[0,3,9],[0,4,18],[0,5,35],[0,6,90],[0,7,19],[1,2,97],[1,3,64],[1,4,43],[1,6,79],[1,7,24],[2,3,27],[2,4,80],[3,4,50],[3,5,8],[3,6,94],[3,7,88],[4,5,69],[4,6,98],[5,6,90],[5,7,41],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=8, w=8\",\"Add (0,3)=9, w=17\",\"Add (0,4)=18, w=35\",\"Add (0,7)=19, w=54\",\"Add (1,7)=24, w=78\",\"Add (2,3)=27, w=105\",\"Add (6,7)=57, 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\":[[0,1,60],[0,2,37],[0,3,9],[0,4,18],[0,5,35],[0,6,90],[0,7,19],[1,2,97],[1,3,64],[1,4,43],[1,6,79],[1,7,24],[2,3,27],[2,4,80],[3,4,50],[3,5,8],[3,6,94],[3,7,88],[4,5,69],[4,6,98],[5,6,90],[5,7,41],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=8 Succeeded, w=8\",\"Add (0,3)=9 Succeeded, w=17\",\"Add (0,4)=18 Succeeded, w=35\",\"Add (0,7)=19 Succeeded, w=54\",\"Add (1,7)=24 Succeeded, w=78\",\"Add (2,3)=27 Succeeded, w=105\",\"Add (0,5)=35 Failed, w=105\",\"Add (0,2)=37 Failed, w=105\",\"Add (5,7)=41 Failed, w=105\",\"Add (1,4)=43 Failed, w=105\",\"Add (3,4)=50 Failed, w=105\",\"Add (6,7)=57 Succeeded, w=162\",\"Add (0,1)=60 Failed, w=162\",\"Add (1,3)=64 Failed, w=162\",\"Add (4,5)=69 Failed, w=162\",\"Add (1,6)=79 Failed, w=162\",\"Add (2,4)=80 Failed, w=162\",\"Add (3,7)=88 Failed, w=162\",\"Add (0,6)=90 Failed, w=162\",\"Add (5,6)=90 Failed, w=162\",\"Add (3,6)=94 Failed, w=162\",\"Add (1,2)=97 Failed, w=162\",\"Add (4,6)=98 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\":[[0,1,60],[0,2,37],[0,3,9],[0,4,18],[0,5,35],[0,6,90],[0,7,19],[1,2,97],[1,3,64],[1,4,43],[1,6,79],[1,7,24],[2,3,27],[2,4,80],[3,4,50],[3,5,8],[3,6,94],[3,7,88],[4,5,69],[4,6,98],[5,6,90],[5,7,41],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=8,(0,3)=9,(0,4)=18,(0,7)=19,(1,7)=24,(2,3)=27,(0,5)=35,(0,2)=37,(5,7)=41,(1,4)=43,(3,4)=50,(6,7)=57,(0,1)=60,(1,3)=64,(4,5)=69,(1,6)=79,(2,4)=80,(3,7)=88,(0,6)=90,(5,6)=90,(3,6)=94,(1,2)=97,(4,6)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=17\",\"Find(0)=3, Find(4)=4, Add (0,4)=18 Succeeded, w=35\",\"Find(0)=3, Find(7)=7, Add (0,7)=19 Succeeded, w=54\",\"Find(1)=1, Find(7)=3, Add (1,7)=24 Succeeded, w=78\",\"Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=105\",\"Find(0)=3, Find(5)=3, Add (0,5)=35 Failed, w=105\",\"Find(0)=3, Find(2)=3, Add (0,2)=37 Failed, w=105\",\"Find(5)=3, Find(7)=3, Add (5,7)=41 Failed, w=105\",\"Find(1)=3, Find(4)=3, Add (1,4)=43 Failed, w=105\",\"Find(3)=3, Find(4)=3, Add (3,4)=50 Failed, w=105\",\"Find(6)=6, Find(7)=3, Add (6,7)=57 Succeeded, w=162\",\"Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=162\",\"Find(1)=3, Find(3)=3, Add (1,3)=64 Failed, w=162\",\"Find(4)=3, Find(5)=3, Add (4,5)=69 Failed, w=162\",\"Find(1)=3, Find(6)=3, Add (1,6)=79 Failed, w=162\",\"Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=162\",\"Find(3)=3, Find(7)=3, Add (3,7)=88 Failed, w=162\",\"Find(0)=3, Find(6)=3, Add (0,6)=90 Failed, w=162\",\"Find(5)=3, Find(6)=3, Add (5,6)=90 Failed, w=162\",\"Find(3)=3, Find(6)=3, Add (3,6)=94 Failed, w=162\",\"Find(1)=3, Find(2)=3, Add (1,2)=97 Failed, w=162\",\"Find(4)=3, Find(6)=3, Add (4,6)=98 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\":[[0,1,60],[0,2,37],[0,3,9],[0,4,18],[0,5,35],[0,6,90],[0,7,19],[1,2,97],[1,3,64],[1,4,43],[1,6,79],[1,7,24],[2,3,27],[2,4,80],[3,4,50],[3,5,8],[3,6,94],[3,7,88],[4,5,69],[4,6,98],[5,6,90],[5,7,41],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=8,(0,3)=9,(0,4)=18,(0,7)=19,(1,7)=24,(2,3)=27,(0,5)=35,(0,2)=37,(5,7)=41,(1,4)=43,(3,4)=50,(6,7)=57,(0,1)=60,(1,3)=64,(4,5)=69,(1,6)=79,(2,4)=80,(3,7)=88,(0,6)=90,(5,6)=90,(3,6)=94,(1,2)=97,(4,6)=98]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=17\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(0)=3, Find(4)=4, Add (0,4)=18 Succeeded, w=35\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(7)=7, Add (0,7)=19 Succeeded, w=54\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=24 Succeeded, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=35 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=37 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=41 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=43 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=50 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=6, Find(7)=3, Add (6,7)=57 Succeeded, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=64 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=69 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=79 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=88 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=90 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=90 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=94 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=97 Failed, w=162\",\"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)=98 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,17],[0,4,51],[1,2,61],[1,3,31],[1,4,38],[2,4,16],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,51],[1,2,61],[1,3,31],[1,4,38],[2,4,16],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,51],[1,2,61],[1,3,31],[1,4,38],[2,4,16],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,51],[1,2,61],[1,3,31],[1,4,38],[2,4,16],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=16, w=16\",\"Add (0,1)=17, w=33\",\"Add (3,4)=29, w=62\",\"Add (1,3)=31, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,51],[1,2,61],[1,3,31],[1,4,38],[2,4,16],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=16 Succeeded, w=16\",\"Add (0,1)=17 Succeeded, w=33\",\"Add (3,4)=29 Succeeded, w=62\",\"Add (1,3)=31 Succeeded, w=93\",\"Add (1,4)=38 Failed, w=93\",\"Add (0,4)=51 Failed, w=93\",\"Add (1,2)=61 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,51],[1,2,61],[1,3,31],[1,4,38],[2,4,16],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=16,(0,1)=17,(3,4)=29,(1,3)=31,(1,4)=38,(0,4)=51,(1,2)=61]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=33\",\"Find(3)=3, Find(4)=2, Add (3,4)=29 Succeeded, w=62\",\"Find(1)=0, Find(3)=2, Add (1,3)=31 Succeeded, w=93\",\"Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=93\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=93\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,51],[1,2,61],[1,3,31],[1,4,38],[2,4,16],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=16,(0,1)=17,(3,4)=29,(1,3)=31,(1,4)=38,(0,4)=51,(1,2)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=29 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(3)=2, Add (1,3)=31 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,27],[0,2,43],[0,4,48],[0,5,93],[0,6,35],[0,7,53],[1,2,3],[1,3,32],[1,4,92],[1,5,10],[1,6,72],[1,7,71],[2,3,85],[2,4,25],[2,5,94],[2,6,81],[2,7,53],[3,4,23],[3,5,78],[3,6,83],[3,7,23],[4,5,28],[4,6,100],[4,7,40],[5,6,37],[5,7,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,43],[0,4,48],[0,5,93],[0,6,35],[0,7,53],[1,2,3],[1,3,32],[1,4,92],[1,5,10],[1,6,72],[1,7,71],[2,3,85],[2,4,25],[2,5,94],[2,6,81],[2,7,53],[3,4,23],[3,5,78],[3,6,83],[3,7,23],[4,5,28],[4,6,100],[4,7,40],[5,6,37],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,43],[0,4,48],[0,5,93],[0,6,35],[0,7,53],[1,2,3],[1,3,32],[1,4,92],[1,5,10],[1,6,72],[1,7,71],[2,3,85],[2,4,25],[2,5,94],[2,6,81],[2,7,53],[3,4,23],[3,5,78],[3,6,83],[3,7,23],[4,5,28],[4,6,100],[4,7,40],[5,6,37],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (3,7)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (0,6)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,43],[0,4,48],[0,5,93],[0,6,35],[0,7,53],[1,2,3],[1,3,32],[1,4,92],[1,5,10],[1,6,72],[1,7,71],[2,3,85],[2,4,25],[2,5,94],[2,6,81],[2,7,53],[3,4,23],[3,5,78],[3,6,83],[3,7,23],[4,5,28],[4,6,100],[4,7,40],[5,6,37],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (1,5)=10, w=13\",\"Add (3,4)=23, w=36\",\"Add (3,7)=23, w=59\",\"Add (2,4)=25, w=84\",\"Add (0,1)=27, w=111\",\"Add (0,6)=35, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,43],[0,4,48],[0,5,93],[0,6,35],[0,7,53],[1,2,3],[1,3,32],[1,4,92],[1,5,10],[1,6,72],[1,7,71],[2,3,85],[2,4,25],[2,5,94],[2,6,81],[2,7,53],[3,4,23],[3,5,78],[3,6,83],[3,7,23],[4,5,28],[4,6,100],[4,7,40],[5,6,37],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (1,5)=10 Succeeded, w=13\",\"Add (3,4)=23 Succeeded, w=36\",\"Add (3,7)=23 Succeeded, w=59\",\"Add (2,4)=25 Succeeded, w=84\",\"Add (0,1)=27 Succeeded, w=111\",\"Add (4,5)=28 Failed, w=111\",\"Add (1,3)=32 Failed, w=111\",\"Add (0,6)=35 Succeeded, w=146\",\"Add (5,6)=37 Failed, w=146\",\"Add (4,7)=40 Failed, w=146\",\"Add (0,2)=43 Failed, w=146\",\"Add (5,7)=43 Failed, w=146\",\"Add (0,4)=48 Failed, w=146\",\"Add (0,7)=53 Failed, w=146\",\"Add (2,7)=53 Failed, w=146\",\"Add (1,7)=71 Failed, w=146\",\"Add (1,6)=72 Failed, w=146\",\"Add (3,5)=78 Failed, w=146\",\"Add (2,6)=81 Failed, w=146\",\"Add (3,6)=83 Failed, w=146\",\"Add (2,3)=85 Failed, w=146\",\"Add (1,4)=92 Failed, w=146\",\"Add (0,5)=93 Failed, w=146\",\"Add (2,5)=94 Failed, w=146\",\"Add (4,6)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,43],[0,4,48],[0,5,93],[0,6,35],[0,7,53],[1,2,3],[1,3,32],[1,4,92],[1,5,10],[1,6,72],[1,7,71],[2,3,85],[2,4,25],[2,5,94],[2,6,81],[2,7,53],[3,4,23],[3,5,78],[3,6,83],[3,7,23],[4,5,28],[4,6,100],[4,7,40],[5,6,37],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,5)=10,(3,4)=23,(3,7)=23,(2,4)=25,(0,1)=27,(4,5)=28,(1,3)=32,(0,6)=35,(5,6)=37,(4,7)=40,(0,2)=43,(5,7)=43,(0,4)=48,(0,7)=53,(2,7)=53,(1,7)=71,(1,6)=72,(3,5)=78,(2,6)=81,(3,6)=83,(2,3)=85,(1,4)=92,(0,5)=93,(2,5)=94,(4,6)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=13\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=36\",\"Find(3)=3, Find(7)=7, Add (3,7)=23 Succeeded, w=59\",\"Find(2)=1, Find(4)=3, Add (2,4)=25 Succeeded, w=84\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=111\",\"Find(4)=1, Find(5)=1, Add (4,5)=28 Failed, w=111\",\"Find(1)=1, Find(3)=1, Add (1,3)=32 Failed, w=111\",\"Find(0)=1, Find(6)=6, Add (0,6)=35 Succeeded, w=146\",\"Find(5)=1, Find(6)=1, Add (5,6)=37 Failed, w=146\",\"Find(4)=1, Find(7)=1, Add (4,7)=40 Failed, w=146\",\"Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=146\",\"Find(5)=1, Find(7)=1, Add (5,7)=43 Failed, w=146\",\"Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=146\",\"Find(0)=1, Find(7)=1, Add (0,7)=53 Failed, w=146\",\"Find(2)=1, Find(7)=1, Add (2,7)=53 Failed, w=146\",\"Find(1)=1, Find(7)=1, Add (1,7)=71 Failed, w=146\",\"Find(1)=1, Find(6)=1, Add (1,6)=72 Failed, w=146\",\"Find(3)=1, Find(5)=1, Add (3,5)=78 Failed, w=146\",\"Find(2)=1, Find(6)=1, Add (2,6)=81 Failed, w=146\",\"Find(3)=1, Find(6)=1, Add (3,6)=83 Failed, w=146\",\"Find(2)=1, Find(3)=1, Add (2,3)=85 Failed, w=146\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=146\",\"Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=146\",\"Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=146\",\"Find(4)=1, Find(6)=1, Add (4,6)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,43],[0,4,48],[0,5,93],[0,6,35],[0,7,53],[1,2,3],[1,3,32],[1,4,92],[1,5,10],[1,6,72],[1,7,71],[2,3,85],[2,4,25],[2,5,94],[2,6,81],[2,7,53],[3,4,23],[3,5,78],[3,6,83],[3,7,23],[4,5,28],[4,6,100],[4,7,40],[5,6,37],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,5)=10,(3,4)=23,(3,7)=23,(2,4)=25,(0,1)=27,(4,5)=28,(1,3)=32,(0,6)=35,(5,6)=37,(4,7)=40,(0,2)=43,(5,7)=43,(0,4)=48,(0,7)=53,(2,7)=53,(1,7)=71,(1,6)=72,(3,5)=78,(2,6)=81,(3,6)=83,(2,3)=85,(1,4)=92,(0,5)=93,(2,5)=94,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=23 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6, 7: 3}, Find(2)=1, Find(4)=3, Add (2,4)=25 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 6, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(4)=1, Find(5)=1, Add (4,5)=28 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(1)=1, Find(3)=1, Add (1,3)=32 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(6)=6, Add (0,6)=35 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(5)=1, Find(6)=1, Add (5,6)=37 Failed, w=146\",\"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)=40 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=146\",\"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)=43 Failed, w=146\",\"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)=48 Failed, w=146\",\"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)=53 Failed, w=146\",\"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)=53 Failed, w=146\",\"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)=71 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=72 Failed, w=146\",\"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)=78 Failed, w=146\",\"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)=81 Failed, w=146\",\"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)=83 Failed, w=146\",\"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)=85 Failed, w=146\",\"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)=92 Failed, w=146\",\"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)=93 Failed, w=146\",\"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)=94 Failed, w=146\",\"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)=100 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
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