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":[[0,1,21],[0,2,41],[0,3,86],[1,2,38],[1,3,29],[2,3,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,41],[0,3,86],[1,2,38],[1,3,29],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,41],[0,3,86],[1,2,38],[1,3,29],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,41],[0,3,86],[1,2,38],[1,3,29],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (0,1)=21, w=34\",\"Add (1,3)=29, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,41],[0,3,86],[1,2,38],[1,3,29],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (0,1)=21 Succeeded, w=34\",\"Add (1,3)=29 Succeeded, w=63\",\"Add (1,2)=38 Failed, w=63\",\"Add (0,2)=41 Failed, w=63\",\"Add (0,3)=86 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,41],[0,3,86],[1,2,38],[1,3,29],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(0,1)=21,(1,3)=29,(1,2)=38,(0,2)=41,(0,3)=86]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=34\",\"Find(1)=0, Find(3)=2, Add (1,3)=29 Succeeded, w=63\",\"Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=63\",\"Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,41],[0,3,86],[1,2,38],[1,3,29],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(0,1)=21,(1,3)=29,(1,2)=38,(0,2)=41,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(3)=2, Add (1,3)=29 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=38 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=41 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,2,91],[1,2,55],[1,3,58],[2,3,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,91],[1,2,55],[1,3,58],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,91],[1,2,55],[1,3,58],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,91],[1,2,55],[1,3,58],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,1)=11, w=16\",\"Add (1,2)=55, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,91],[1,2,55],[1,3,58],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,1)=11 Succeeded, w=16\",\"Add (1,2)=55 Succeeded, w=71\",\"Add (1,3)=58 Failed, w=71\",\"Add (0,2)=91 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,91],[1,2,55],[1,3,58],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,1)=11,(1,2)=55,(1,3)=58,(0,2)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=16\",\"Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=71\",\"Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=71\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,91],[1,2,55],[1,3,58],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,1)=11,(1,2)=55,(1,3)=58,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,59],[0,3,57],[0,4,91],[0,5,6],[0,6,55],[0,7,6],[1,2,72],[1,3,34],[1,5,99],[1,7,62],[2,4,62],[2,5,56],[2,6,97],[2,7,97],[3,4,70],[3,6,45],[3,7,69],[4,5,49],[4,6,71],[4,7,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,57],[0,4,91],[0,5,6],[0,6,55],[0,7,6],[1,2,72],[1,3,34],[1,5,99],[1,7,62],[2,4,62],[2,5,56],[2,6,97],[2,7,97],[3,4,70],[3,6,45],[3,7,69],[4,5,49],[4,6,71],[4,7,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,57],[0,4,91],[0,5,6],[0,6,55],[0,7,6],[1,2,72],[1,3,34],[1,5,99],[1,7,62],[2,4,62],[2,5,56],[2,6,97],[2,7,97],[3,4,70],[3,6,45],[3,7,69],[4,5,49],[4,6,71],[4,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,7)\",\"Add (1,3)\",\"Add (4,7)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (2,5)\"],\"Answer\":239}",
"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],[0,3,57],[0,4,91],[0,5,6],[0,6,55],[0,7,6],[1,2,72],[1,3,34],[1,5,99],[1,7,62],[2,4,62],[2,5,56],[2,6,97],[2,7,97],[3,4,70],[3,6,45],[3,7,69],[4,5,49],[4,6,71],[4,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6, w=6\",\"Add (0,7)=6, w=12\",\"Add (1,3)=34, w=46\",\"Add (4,7)=37, w=83\",\"Add (3,6)=45, w=128\",\"Add (0,6)=55, w=183\",\"Add (2,5)=56, w=239\"],\"Answer\":239}",
"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],[0,3,57],[0,4,91],[0,5,6],[0,6,55],[0,7,6],[1,2,72],[1,3,34],[1,5,99],[1,7,62],[2,4,62],[2,5,56],[2,6,97],[2,7,97],[3,4,70],[3,6,45],[3,7,69],[4,5,49],[4,6,71],[4,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6 Succeeded, w=6\",\"Add (0,7)=6 Succeeded, w=12\",\"Add (1,3)=34 Succeeded, w=46\",\"Add (4,7)=37 Succeeded, w=83\",\"Add (3,6)=45 Succeeded, w=128\",\"Add (4,5)=49 Failed, w=128\",\"Add (0,6)=55 Succeeded, w=183\",\"Add (2,5)=56 Succeeded, w=239\",\"Add (0,3)=57 Failed, w=239\",\"Add (0,2)=59 Failed, w=239\",\"Add (1,7)=62 Failed, w=239\",\"Add (2,4)=62 Failed, w=239\",\"Add (3,7)=69 Failed, w=239\",\"Add (3,4)=70 Failed, w=239\",\"Add (4,6)=71 Failed, w=239\",\"Add (1,2)=72 Failed, w=239\",\"Add (0,4)=91 Failed, w=239\",\"Add (2,6)=97 Failed, w=239\",\"Add (2,7)=97 Failed, w=239\",\"Add (1,5)=99 Failed, w=239\"],\"Answer\":239}",
"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],[0,3,57],[0,4,91],[0,5,6],[0,6,55],[0,7,6],[1,2,72],[1,3,34],[1,5,99],[1,7,62],[2,4,62],[2,5,56],[2,6,97],[2,7,97],[3,4,70],[3,6,45],[3,7,69],[4,5,49],[4,6,71],[4,7,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(0,7)=6,(1,3)=34,(4,7)=37,(3,6)=45,(4,5)=49,(0,6)=55,(2,5)=56,(0,3)=57,(0,2)=59,(1,7)=62,(2,4)=62,(3,7)=69,(3,4)=70,(4,6)=71,(1,2)=72,(0,4)=91,(2,6)=97,(2,7)=97,(1,5)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(7)=7, Add (0,7)=6 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=46\",\"Find(4)=4, Find(7)=0, Add (4,7)=37 Succeeded, w=83\",\"Find(3)=1, Find(6)=6, Add (3,6)=45 Succeeded, w=128\",\"Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=128\",\"Find(0)=0, Find(6)=1, Add (0,6)=55 Succeeded, w=183\",\"Find(2)=2, Find(5)=0, Add (2,5)=56 Succeeded, w=239\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=239\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=239\",\"Find(1)=0, Find(7)=0, Add (1,7)=62 Failed, w=239\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=239\",\"Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=239\",\"Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=239\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=239\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=239\",\"Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=239\",\"Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=239\",\"Find(2)=0, Find(7)=0, Add (2,7)=97 Failed, w=239\",\"Find(1)=0, Find(5)=0, Add (1,5)=99 Failed, w=239\"],\"Answer\":239}",
"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],[0,3,57],[0,4,91],[0,5,6],[0,6,55],[0,7,6],[1,2,72],[1,3,34],[1,5,99],[1,7,62],[2,4,62],[2,5,56],[2,6,97],[2,7,97],[3,4,70],[3,6,45],[3,7,69],[4,5,49],[4,6,71],[4,7,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(0,7)=6,(1,3)=34,(4,7)=37,(3,6)=45,(4,5)=49,(0,6)=55,(2,5)=56,(0,3)=57,(0,2)=59,(1,7)=62,(2,4)=62,(3,7)=69,(3,4)=70,(4,6)=71,(1,2)=72,(0,4)=91,(2,6)=97,(2,7)=97,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 6, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=37 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 1, 7: 0}, Find(3)=1, Find(6)=6, Add (3,6)=45 Succeeded, w=128\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 0, 6: 1, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(6)=1, Add (0,6)=55 Succeeded, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1, 7: 0}, Find(2)=2, Find(5)=0, Add (2,5)=56 Succeeded, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=62 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=69 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=239\",\"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)=71 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=239\",\"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)=91 Failed, w=239\",\"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)=97 Failed, w=239\",\"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)=97 Failed, w=239\",\"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)=99 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,23],[0,3,32],[0,4,62],[0,6,31],[1,2,71],[1,3,86],[1,4,22],[1,5,89],[1,6,19],[2,3,16],[2,4,30],[2,6,17],[3,4,100],[3,5,71],[3,6,33],[4,5,97],[4,6,85],[5,6,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,32],[0,4,62],[0,6,31],[1,2,71],[1,3,86],[1,4,22],[1,5,89],[1,6,19],[2,3,16],[2,4,30],[2,6,17],[3,4,100],[3,5,71],[3,6,33],[4,5,97],[4,6,85],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,32],[0,4,62],[0,6,31],[1,2,71],[1,3,86],[1,4,22],[1,5,89],[1,6,19],[2,3,16],[2,4,30],[2,6,17],[3,4,100],[3,5,71],[3,6,33],[4,5,97],[4,6,85],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (5,6)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,32],[0,4,62],[0,6,31],[1,2,71],[1,3,86],[1,4,22],[1,5,89],[1,6,19],[2,3,16],[2,4,30],[2,6,17],[3,4,100],[3,5,71],[3,6,33],[4,5,97],[4,6,85],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (2,6)=17, w=33\",\"Add (1,6)=19, w=52\",\"Add (1,4)=22, w=74\",\"Add (0,2)=23, w=97\",\"Add (5,6)=54, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,32],[0,4,62],[0,6,31],[1,2,71],[1,3,86],[1,4,22],[1,5,89],[1,6,19],[2,3,16],[2,4,30],[2,6,17],[3,4,100],[3,5,71],[3,6,33],[4,5,97],[4,6,85],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (2,6)=17 Succeeded, w=33\",\"Add (1,6)=19 Succeeded, w=52\",\"Add (1,4)=22 Succeeded, w=74\",\"Add (0,2)=23 Succeeded, w=97\",\"Add (2,4)=30 Failed, w=97\",\"Add (0,6)=31 Failed, w=97\",\"Add (0,3)=32 Failed, w=97\",\"Add (3,6)=33 Failed, w=97\",\"Add (5,6)=54 Succeeded, w=151\",\"Add (0,4)=62 Failed, w=151\",\"Add (1,2)=71 Failed, w=151\",\"Add (3,5)=71 Failed, w=151\",\"Add (4,6)=85 Failed, w=151\",\"Add (1,3)=86 Failed, w=151\",\"Add (1,5)=89 Failed, w=151\",\"Add (4,5)=97 Failed, w=151\",\"Add (3,4)=100 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,32],[0,4,62],[0,6,31],[1,2,71],[1,3,86],[1,4,22],[1,5,89],[1,6,19],[2,3,16],[2,4,30],[2,6,17],[3,4,100],[3,5,71],[3,6,33],[4,5,97],[4,6,85],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(2,6)=17,(1,6)=19,(1,4)=22,(0,2)=23,(2,4)=30,(0,6)=31,(0,3)=32,(3,6)=33,(5,6)=54,(0,4)=62,(1,2)=71,(3,5)=71,(4,6)=85,(1,3)=86,(1,5)=89,(4,5)=97,(3,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(2)=2, Find(6)=6, Add (2,6)=17 Succeeded, w=33\",\"Find(1)=1, Find(6)=2, Add (1,6)=19 Succeeded, w=52\",\"Find(1)=2, Find(4)=4, Add (1,4)=22 Succeeded, w=74\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=97\",\"Find(2)=2, Find(4)=2, Add (2,4)=30 Failed, w=97\",\"Find(0)=2, Find(6)=2, Add (0,6)=31 Failed, w=97\",\"Find(0)=2, Find(3)=2, Add (0,3)=32 Failed, w=97\",\"Find(3)=2, Find(6)=2, Add (3,6)=33 Failed, w=97\",\"Find(5)=5, Find(6)=2, Add (5,6)=54 Succeeded, w=151\",\"Find(0)=2, Find(4)=2, Add (0,4)=62 Failed, w=151\",\"Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=151\",\"Find(3)=2, Find(5)=2, Add (3,5)=71 Failed, w=151\",\"Find(4)=2, Find(6)=2, Add (4,6)=85 Failed, w=151\",\"Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=151\",\"Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=151\",\"Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=151\",\"Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,32],[0,4,62],[0,6,31],[1,2,71],[1,3,86],[1,4,22],[1,5,89],[1,6,19],[2,3,16],[2,4,30],[2,6,17],[3,4,100],[3,5,71],[3,6,33],[4,5,97],[4,6,85],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(2,6)=17,(1,6)=19,(1,4)=22,(0,2)=23,(2,4)=30,(0,6)=31,(0,3)=32,(3,6)=33,(5,6)=54,(0,4)=62,(1,2)=71,(3,5)=71,(4,6)=85,(1,3)=86,(1,5)=89,(4,5)=97,(3,4)=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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=19 Succeeded, w=52\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(4)=4, Add (1,4)=22 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=30 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=31 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=32 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=33 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=54 Succeeded, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=62 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=71 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=85 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,16],[0,2,84],[0,3,55],[1,2,18],[1,3,45],[2,3,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,84],[0,3,55],[1,2,18],[1,3,45],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,84],[0,3,55],[1,2,18],[1,3,45],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,84],[0,3,55],[1,2,18],[1,3,45],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (1,2)=18, w=34\",\"Add (1,3)=45, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,84],[0,3,55],[1,2,18],[1,3,45],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (1,2)=18 Succeeded, w=34\",\"Add (1,3)=45 Succeeded, w=79\",\"Add (0,3)=55 Failed, w=79\",\"Add (0,2)=84 Failed, w=79\",\"Add (2,3)=96 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,84],[0,3,55],[1,2,18],[1,3,45],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,2)=18,(1,3)=45,(0,3)=55,(0,2)=84,(2,3)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(1)=0, Find(2)=2, Add (1,2)=18 Succeeded, w=34\",\"Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=79\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,84],[0,3,55],[1,2,18],[1,3,45],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,2)=18,(1,3)=45,(0,3)=55,(0,2)=84,(2,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,3,60],[0,4,10],[1,3,14],[2,3,93],[2,4,89],[3,4,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,60],[0,4,10],[1,3,14],[2,3,93],[2,4,89],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,60],[0,4,10],[1,3,14],[2,3,93],[2,4,89],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,60],[0,4,10],[1,3,14],[2,3,93],[2,4,89],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (0,4)=10, w=16\",\"Add (1,3)=14, w=30\",\"Add (2,4)=89, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,60],[0,4,10],[1,3,14],[2,3,93],[2,4,89],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (0,4)=10 Succeeded, w=16\",\"Add (1,3)=14 Succeeded, w=30\",\"Add (3,4)=30 Failed, w=30\",\"Add (0,3)=60 Failed, w=30\",\"Add (2,4)=89 Succeeded, w=119\",\"Add (2,3)=93 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,60],[0,4,10],[1,3,14],[2,3,93],[2,4,89],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,4)=10,(1,3)=14,(3,4)=30,(0,3)=60,(2,4)=89,(2,3)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=16\",\"Find(1)=0, Find(3)=3, Add (1,3)=14 Succeeded, w=30\",\"Find(3)=0, Find(4)=0, Add (3,4)=30 Failed, w=30\",\"Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=30\",\"Find(2)=2, Find(4)=0, Add (2,4)=89 Succeeded, w=119\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,3,60],[0,4,10],[1,3,14],[2,3,93],[2,4,89],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,4)=10,(1,3)=14,(3,4)=30,(0,3)=60,(2,4)=89,(2,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=30 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=89 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,71],[0,4,31],[1,2,21],[1,3,14],[2,3,62],[2,4,64],[3,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,4,31],[1,2,21],[1,3,14],[2,3,62],[2,4,64],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,4,31],[1,2,21],[1,3,14],[2,3,62],[2,4,64],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,4,31],[1,2,21],[1,3,14],[2,3,62],[2,4,64],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14, w=14\",\"Add (1,2)=21, w=35\",\"Add (0,4)=31, w=66\",\"Add (3,4)=62, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,4,31],[1,2,21],[1,3,14],[2,3,62],[2,4,64],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14 Succeeded, w=14\",\"Add (1,2)=21 Succeeded, w=35\",\"Add (0,4)=31 Succeeded, w=66\",\"Add (2,3)=62 Failed, w=66\",\"Add (3,4)=62 Succeeded, w=128\",\"Add (2,4)=64 Failed, w=128\",\"Add (0,2)=71 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,4,31],[1,2,21],[1,3,14],[2,3,62],[2,4,64],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(1,2)=21,(0,4)=31,(2,3)=62,(3,4)=62,(2,4)=64,(0,2)=71]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=35\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=66\",\"Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=66\",\"Find(3)=1, Find(4)=0, Add (3,4)=62 Succeeded, w=128\",\"Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=128\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,4,31],[1,2,21],[1,3,14],[2,3,62],[2,4,64],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(1,2)=21,(0,4)=31,(2,3)=62,(3,4)=62,(2,4)=64,(0,2)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(3)=1, Find(4)=0, Add (3,4)=62 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,97],[0,2,1],[0,3,1],[0,4,71],[0,5,67],[0,6,0],[1,2,9],[1,3,100],[1,4,27],[1,5,36],[1,6,89],[2,3,89],[2,5,33],[2,6,6],[3,4,58],[3,5,14],[4,5,14],[4,6,59],[5,6,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,1],[0,4,71],[0,5,67],[0,6,0],[1,2,9],[1,3,100],[1,4,27],[1,5,36],[1,6,89],[2,3,89],[2,5,33],[2,6,6],[3,4,58],[3,5,14],[4,5,14],[4,6,59],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,1],[0,4,71],[0,5,67],[0,6,0],[1,2,9],[1,3,100],[1,4,27],[1,5,36],[1,6,89],[2,3,89],[2,5,33],[2,6,6],[3,4,58],[3,5,14],[4,5,14],[4,6,59],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,1],[0,4,71],[0,5,67],[0,6,0],[1,2,9],[1,3,100],[1,4,27],[1,5,36],[1,6,89],[2,3,89],[2,5,33],[2,6,6],[3,4,58],[3,5,14],[4,5,14],[4,6,59],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (0,2)=1, w=1\",\"Add (0,3)=1, w=2\",\"Add (1,2)=9, w=11\",\"Add (3,5)=14, w=25\",\"Add (4,5)=14, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,1],[0,4,71],[0,5,67],[0,6,0],[1,2,9],[1,3,100],[1,4,27],[1,5,36],[1,6,89],[2,3,89],[2,5,33],[2,6,6],[3,4,58],[3,5,14],[4,5,14],[4,6,59],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,3)=1 Succeeded, w=2\",\"Add (2,6)=6 Failed, w=2\",\"Add (1,2)=9 Succeeded, w=11\",\"Add (3,5)=14 Succeeded, w=25\",\"Add (4,5)=14 Succeeded, w=39\",\"Add (1,4)=27 Failed, w=39\",\"Add (2,5)=33 Failed, w=39\",\"Add (1,5)=36 Failed, w=39\",\"Add (5,6)=50 Failed, w=39\",\"Add (3,4)=58 Failed, w=39\",\"Add (4,6)=59 Failed, w=39\",\"Add (0,5)=67 Failed, w=39\",\"Add (0,4)=71 Failed, w=39\",\"Add (1,6)=89 Failed, w=39\",\"Add (2,3)=89 Failed, w=39\",\"Add (0,1)=97 Failed, w=39\",\"Add (1,3)=100 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,1],[0,4,71],[0,5,67],[0,6,0],[1,2,9],[1,3,100],[1,4,27],[1,5,36],[1,6,89],[2,3,89],[2,5,33],[2,6,6],[3,4,58],[3,5,14],[4,5,14],[4,6,59],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(0,2)=1,(0,3)=1,(2,6)=6,(1,2)=9,(3,5)=14,(4,5)=14,(1,4)=27,(2,5)=33,(1,5)=36,(5,6)=50,(3,4)=58,(4,6)=59,(0,5)=67,(0,4)=71,(1,6)=89,(2,3)=89,(0,1)=97,(1,3)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=2\",\"Find(2)=0, Find(6)=0, Add (2,6)=6 Failed, w=2\",\"Find(1)=1, Find(2)=0, Add (1,2)=9 Succeeded, w=11\",\"Find(3)=0, Find(5)=5, Add (3,5)=14 Succeeded, w=25\",\"Find(4)=4, Find(5)=0, Add (4,5)=14 Succeeded, w=39\",\"Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=39\",\"Find(2)=0, Find(5)=0, Add (2,5)=33 Failed, w=39\",\"Find(1)=0, Find(5)=0, Add (1,5)=36 Failed, w=39\",\"Find(5)=0, Find(6)=0, Add (5,6)=50 Failed, w=39\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=39\",\"Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=39\",\"Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=39\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=39\",\"Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=39\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=39\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=39\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,1],[0,3,1],[0,4,71],[0,5,67],[0,6,0],[1,2,9],[1,3,100],[1,4,27],[1,5,36],[1,6,89],[2,3,89],[2,5,33],[2,6,6],[3,4,58],[3,5,14],[4,5,14],[4,6,59],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(0,2)=1,(0,3)=1,(2,6)=6,(1,2)=9,(3,5)=14,(4,5)=14,(1,4)=27,(2,5)=33,(1,5)=36,(5,6)=50,(3,4)=58,(4,6)=59,(0,5)=67,(0,4)=71,(1,6)=89,(2,3)=89,(0,1)=97,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=6 Failed, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(5)=0, Add (4,5)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=33 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=36 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=50 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,18],[0,3,58],[1,3,97],[2,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,18],[0,3,58],[1,3,97],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,18],[0,3,58],[1,3,97],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,18],[0,3,58],[1,3,97],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=18, w=18\",\"Add (0,3)=58, w=76\",\"Add (0,1)=84, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,18],[0,3,58],[1,3,97],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=18 Succeeded, w=18\",\"Add (0,3)=58 Succeeded, w=76\",\"Add (2,3)=60 Failed, w=76\",\"Add (0,1)=84 Succeeded, w=160\",\"Add (1,3)=97 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,18],[0,3,58],[1,3,97],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=18,(0,3)=58,(2,3)=60,(0,1)=84,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=76\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=76\",\"Find(0)=0, Find(1)=1, Add (0,1)=84 Succeeded, w=160\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,18],[0,3,58],[1,3,97],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=18,(0,3)=58,(2,3)=60,(0,1)=84,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=84 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,69],[0,4,79],[2,4,1],[3,4,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,79],[2,4,1],[3,4,78]]}",
"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\":[[0,1,69],[0,4,79],[2,4,1],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,79],[2,4,1],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,1)=69, w=70\",\"Add (3,4)=78, w=148\",\"Add (0,4)=79, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,79],[2,4,1],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,1)=69 Succeeded, w=70\",\"Add (3,4)=78 Succeeded, w=148\",\"Add (0,4)=79 Succeeded, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,79],[2,4,1],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,1)=69,(3,4)=78,(0,4)=79]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=69 Succeeded, w=70\",\"Find(3)=3, Find(4)=2, Add (3,4)=78 Succeeded, w=148\",\"Find(0)=0, Find(4)=2, Add (0,4)=79 Succeeded, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,4,79],[2,4,1],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,1)=69,(3,4)=78,(0,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=69 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=78 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=79 Succeeded, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,71],[0,3,99],[0,4,79],[1,2,87],[1,3,54],[1,4,57],[2,3,26],[2,4,10],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,3,99],[0,4,79],[1,2,87],[1,3,54],[1,4,57],[2,3,26],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,3,99],[0,4,79],[1,2,87],[1,3,54],[1,4,57],[2,3,26],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,3,99],[0,4,79],[1,2,87],[1,3,54],[1,4,57],[2,3,26],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (2,3)=26, w=36\",\"Add (1,3)=54, w=90\",\"Add (0,2)=71, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,3,99],[0,4,79],[1,2,87],[1,3,54],[1,4,57],[2,3,26],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (2,3)=26 Succeeded, w=36\",\"Add (1,3)=54 Succeeded, w=90\",\"Add (1,4)=57 Failed, w=90\",\"Add (0,2)=71 Succeeded, w=161\",\"Add (0,4)=79 Failed, w=161\",\"Add (1,2)=87 Failed, w=161\",\"Add (3,4)=97 Failed, w=161\",\"Add (0,3)=99 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,3,99],[0,4,79],[1,2,87],[1,3,54],[1,4,57],[2,3,26],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(2,3)=26,(1,3)=54,(1,4)=57,(0,2)=71,(0,4)=79,(1,2)=87,(3,4)=97,(0,3)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=36\",\"Find(1)=1, Find(3)=2, Add (1,3)=54 Succeeded, w=90\",\"Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=90\",\"Find(0)=0, Find(2)=2, Add (0,2)=71 Succeeded, w=161\",\"Find(0)=2, Find(4)=2, Add (0,4)=79 Failed, w=161\",\"Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=161\",\"Find(3)=2, Find(4)=2, Add (3,4)=97 Failed, w=161\",\"Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,71],[0,3,99],[0,4,79],[1,2,87],[1,3,54],[1,4,57],[2,3,26],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(2,3)=26,(1,3)=54,(1,4)=57,(0,2)=71,(0,4)=79,(1,2)=87,(3,4)=97,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=54 Succeeded, w=90\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=71 Succeeded, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=79 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=97 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,15],[0,3,83],[1,2,77],[1,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,3,83],[1,2,77],[1,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,3,83],[1,2,77],[1,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,3,83],[1,2,77],[1,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (1,2)=77, w=92\",\"Add (0,3)=83, w=175\",\"Add (1,4)=91, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,3,83],[1,2,77],[1,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (1,2)=77 Succeeded, w=92\",\"Add (0,3)=83 Succeeded, w=175\",\"Add (1,4)=91 Succeeded, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,3,83],[1,2,77],[1,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(1,2)=77,(0,3)=83,(1,4)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(1)=0, Find(2)=2, Add (1,2)=77 Succeeded, w=92\",\"Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=175\",\"Find(1)=0, Find(4)=4, Add (1,4)=91 Succeeded, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,3,83],[1,2,77],[1,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(1,2)=77,(0,3)=83,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=77 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=91 Succeeded, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,50],[0,3,45],[2,3,66],[2,4,22],[3,4,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,45],[2,3,66],[2,4,22],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,45],[2,3,66],[2,4,22],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,45],[2,3,66],[2,4,22],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=9, w=9\",\"Add (2,4)=22, w=31\",\"Add (0,3)=45, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,45],[2,3,66],[2,4,22],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=9 Succeeded, w=9\",\"Add (2,4)=22 Succeeded, w=31\",\"Add (0,3)=45 Succeeded, w=76\",\"Add (0,2)=50 Failed, w=76\",\"Add (2,3)=66 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,45],[2,3,66],[2,4,22],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=9,(2,4)=22,(0,3)=45,(0,2)=50,(2,3)=66]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=3, Add (2,4)=22 Succeeded, w=31\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=76\",\"Find(0)=3, Find(2)=3, Add (0,2)=50 Failed, w=76\",\"Find(2)=3, Find(3)=3, Add (2,3)=66 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[0,3,45],[2,3,66],[2,4,22],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=9,(2,4)=22,(0,3)=45,(0,2)=50,(2,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=22 Succeeded, w=31\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=76\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=50 Failed, w=76\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=66 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,13],[0,2,14],[0,3,59],[0,5,93],[0,6,21],[1,3,50],[1,4,48],[1,5,99],[1,6,77],[2,3,61],[2,4,94],[2,5,88],[3,4,5],[3,5,95],[3,6,93],[4,5,48],[4,6,17],[5,6,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,14],[0,3,59],[0,5,93],[0,6,21],[1,3,50],[1,4,48],[1,5,99],[1,6,77],[2,3,61],[2,4,94],[2,5,88],[3,4,5],[3,5,95],[3,6,93],[4,5,48],[4,6,17],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,14],[0,3,59],[0,5,93],[0,6,21],[1,3,50],[1,4,48],[1,5,99],[1,6,77],[2,3,61],[2,4,94],[2,5,88],[3,4,5],[3,5,95],[3,6,93],[4,5,48],[4,6,17],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (0,6)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,14],[0,3,59],[0,5,93],[0,6,21],[1,3,50],[1,4,48],[1,5,99],[1,6,77],[2,3,61],[2,4,94],[2,5,88],[3,4,5],[3,5,95],[3,6,93],[4,5,48],[4,6,17],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (5,6)=6, w=11\",\"Add (0,1)=13, w=24\",\"Add (0,2)=14, w=38\",\"Add (4,6)=17, w=55\",\"Add (0,6)=21, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,14],[0,3,59],[0,5,93],[0,6,21],[1,3,50],[1,4,48],[1,5,99],[1,6,77],[2,3,61],[2,4,94],[2,5,88],[3,4,5],[3,5,95],[3,6,93],[4,5,48],[4,6,17],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (5,6)=6 Succeeded, w=11\",\"Add (0,1)=13 Succeeded, w=24\",\"Add (0,2)=14 Succeeded, w=38\",\"Add (4,6)=17 Succeeded, w=55\",\"Add (0,6)=21 Succeeded, w=76\",\"Add (1,4)=48 Failed, w=76\",\"Add (4,5)=48 Failed, w=76\",\"Add (1,3)=50 Failed, w=76\",\"Add (0,3)=59 Failed, w=76\",\"Add (2,3)=61 Failed, w=76\",\"Add (1,6)=77 Failed, w=76\",\"Add (2,5)=88 Failed, w=76\",\"Add (0,5)=93 Failed, w=76\",\"Add (3,6)=93 Failed, w=76\",\"Add (2,4)=94 Failed, w=76\",\"Add (3,5)=95 Failed, w=76\",\"Add (1,5)=99 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,14],[0,3,59],[0,5,93],[0,6,21],[1,3,50],[1,4,48],[1,5,99],[1,6,77],[2,3,61],[2,4,94],[2,5,88],[3,4,5],[3,5,95],[3,6,93],[4,5,48],[4,6,17],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(5,6)=6,(0,1)=13,(0,2)=14,(4,6)=17,(0,6)=21,(1,4)=48,(4,5)=48,(1,3)=50,(0,3)=59,(2,3)=61,(1,6)=77,(2,5)=88,(0,5)=93,(3,6)=93,(2,4)=94,(3,5)=95,(1,5)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=38\",\"Find(4)=3, Find(6)=5, Add (4,6)=17 Succeeded, w=55\",\"Find(0)=0, Find(6)=3, Add (0,6)=21 Succeeded, w=76\",\"Find(1)=3, Find(4)=3, Add (1,4)=48 Failed, w=76\",\"Find(4)=3, Find(5)=3, Add (4,5)=48 Failed, w=76\",\"Find(1)=3, Find(3)=3, Add (1,3)=50 Failed, w=76\",\"Find(0)=3, Find(3)=3, Add (0,3)=59 Failed, w=76\",\"Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=76\",\"Find(1)=3, Find(6)=3, Add (1,6)=77 Failed, w=76\",\"Find(2)=3, Find(5)=3, Add (2,5)=88 Failed, w=76\",\"Find(0)=3, Find(5)=3, Add (0,5)=93 Failed, w=76\",\"Find(3)=3, Find(6)=3, Add (3,6)=93 Failed, w=76\",\"Find(2)=3, Find(4)=3, Add (2,4)=94 Failed, w=76\",\"Find(3)=3, Find(5)=3, Add (3,5)=95 Failed, w=76\",\"Find(1)=3, Find(5)=3, Add (1,5)=99 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,14],[0,3,59],[0,5,93],[0,6,21],[1,3,50],[1,4,48],[1,5,99],[1,6,77],[2,3,61],[2,4,94],[2,5,88],[3,4,5],[3,5,95],[3,6,93],[4,5,48],[4,6,17],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(5,6)=6,(0,1)=13,(0,2)=14,(4,6)=17,(0,6)=21,(1,4)=48,(4,5)=48,(1,3)=50,(0,3)=59,(2,3)=61,(1,6)=77,(2,5)=88,(0,5)=93,(3,6)=93,(2,4)=94,(3,5)=95,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3, 6: 5}, Find(4)=3, Find(6)=5, Add (4,6)=17 Succeeded, w=55\",\"Parent: {0: 3, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=21 Succeeded, w=76\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=48 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=48 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=50 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=59 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=77 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=88 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=93 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=93 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=94 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=95 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=99 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,8],[1,2,72],[1,3,35],[2,3,23],[3,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,8],[1,2,72],[1,3,35],[2,3,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,8],[1,2,72],[1,3,35],[2,3,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,8],[1,2,72],[1,3,35],[2,3,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8, w=8\",\"Add (2,3)=23, w=31\",\"Add (1,3)=35, w=66\",\"Add (3,4)=91, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,8],[1,2,72],[1,3,35],[2,3,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8 Succeeded, w=8\",\"Add (2,3)=23 Succeeded, w=31\",\"Add (1,3)=35 Succeeded, w=66\",\"Add (1,2)=72 Failed, w=66\",\"Add (3,4)=91 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,8],[1,2,72],[1,3,35],[2,3,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(2,3)=23,(1,3)=35,(1,2)=72,(3,4)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=31\",\"Find(1)=1, Find(3)=2, Add (1,3)=35 Succeeded, w=66\",\"Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=66\",\"Find(3)=2, Find(4)=0, Add (3,4)=91 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,8],[1,2,72],[1,3,35],[2,3,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(2,3)=23,(1,3)=35,(1,2)=72,(3,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=31\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(3)=2, Add (1,3)=35 Succeeded, w=66\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(2)=2, Add (1,2)=72 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(3)=2, Find(4)=0, Add (3,4)=91 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,28],[0,2,81],[0,3,75],[0,4,57],[1,2,75],[1,3,82],[1,4,41],[2,3,57],[2,4,35],[3,4,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,81],[0,3,75],[0,4,57],[1,2,75],[1,3,82],[1,4,41],[2,3,57],[2,4,35],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,81],[0,3,75],[0,4,57],[1,2,75],[1,3,82],[1,4,41],[2,3,57],[2,4,35],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,81],[0,3,75],[0,4,57],[1,2,75],[1,3,82],[1,4,41],[2,3,57],[2,4,35],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=28, w=28\",\"Add (2,4)=35, w=63\",\"Add (1,4)=41, w=104\",\"Add (2,3)=57, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,81],[0,3,75],[0,4,57],[1,2,75],[1,3,82],[1,4,41],[2,3,57],[2,4,35],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=28 Succeeded, w=28\",\"Add (2,4)=35 Succeeded, w=63\",\"Add (1,4)=41 Succeeded, w=104\",\"Add (0,4)=57 Failed, w=104\",\"Add (2,3)=57 Succeeded, w=161\",\"Add (0,3)=75 Failed, w=161\",\"Add (1,2)=75 Failed, w=161\",\"Add (3,4)=77 Failed, w=161\",\"Add (0,2)=81 Failed, w=161\",\"Add (1,3)=82 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,81],[0,3,75],[0,4,57],[1,2,75],[1,3,82],[1,4,41],[2,3,57],[2,4,35],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=28,(2,4)=35,(1,4)=41,(0,4)=57,(2,3)=57,(0,3)=75,(1,2)=75,(3,4)=77,(0,2)=81,(1,3)=82]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=63\",\"Find(1)=0, Find(4)=2, Add (1,4)=41 Succeeded, w=104\",\"Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=104\",\"Find(2)=0, Find(3)=3, Add (2,3)=57 Succeeded, w=161\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=161\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=161\",\"Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=161\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=161\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,81],[0,3,75],[0,4,57],[1,2,75],[1,3,82],[1,4,41],[2,3,57],[2,4,35],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=28,(2,4)=35,(1,4)=41,(0,4)=57,(2,3)=57,(0,3)=75,(1,2)=75,(3,4)=77,(0,2)=81,(1,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=41 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=57 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,81],[0,3,75],[1,2,84],[1,3,76],[1,4,98],[2,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,75],[1,2,84],[1,3,76],[1,4,98],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,75],[1,2,84],[1,3,76],[1,4,98],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,75],[1,2,84],[1,3,76],[1,4,98],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=75, w=75\",\"Add (1,3)=76, w=151\",\"Add (0,2)=81, w=232\",\"Add (2,4)=94, w=326\"],\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,75],[1,2,84],[1,3,76],[1,4,98],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=75 Succeeded, w=75\",\"Add (1,3)=76 Succeeded, w=151\",\"Add (0,2)=81 Succeeded, w=232\",\"Add (1,2)=84 Failed, w=232\",\"Add (2,4)=94 Succeeded, w=326\",\"Add (1,4)=98 Failed, w=326\"],\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,75],[1,2,84],[1,3,76],[1,4,98],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=75,(1,3)=76,(0,2)=81,(1,2)=84,(2,4)=94,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=75 Succeeded, w=75\",\"Find(1)=1, Find(3)=0, Add (1,3)=76 Succeeded, w=151\",\"Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=232\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=232\",\"Find(2)=0, Find(4)=4, Add (2,4)=94 Succeeded, w=326\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=326\"],\"Answer\":326}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,75],[1,2,84],[1,3,76],[1,4,98],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=75,(1,3)=76,(0,2)=81,(1,2)=84,(2,4)=94,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=75 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=76 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=232\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=232\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=94 Succeeded, w=326\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=326\"],\"Answer\":326}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,61],[1,4,88],[2,3,95],[3,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,61],[1,4,88],[2,3,95],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,61],[1,4,88],[2,3,95],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,61],[1,4,88],[2,3,95],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=61, w=61\",\"Add (3,5)=80, w=141\",\"Add (1,4)=88, w=229\",\"Add (2,3)=95, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,61],[1,4,88],[2,3,95],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=61 Succeeded, w=61\",\"Add (3,5)=80 Succeeded, w=141\",\"Add (1,4)=88 Succeeded, w=229\",\"Add (2,3)=95 Succeeded, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,61],[1,4,88],[2,3,95],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=61,(3,5)=80,(1,4)=88,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=61\",\"Find(3)=3, Find(5)=5, Add (3,5)=80 Succeeded, w=141\",\"Find(1)=1, Find(4)=4, Add (1,4)=88 Succeeded, w=229\",\"Find(2)=0, Find(3)=3, Add (2,3)=95 Succeeded, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,61],[1,4,88],[2,3,95],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=61,(3,5)=80,(1,4)=88,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=80 Succeeded, w=141\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=88 Succeeded, w=229\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 3}, Find(2)=0, Find(3)=3, Add (2,3)=95 Succeeded, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,2,56],[0,4,47],[0,5,22],[1,2,77],[1,3,98],[1,4,20],[1,5,71],[2,4,22],[3,4,41],[4,5,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,56],[0,4,47],[0,5,22],[1,2,77],[1,3,98],[1,4,20],[1,5,71],[2,4,22],[3,4,41],[4,5,22]]}",
"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],\"edges\":[[0,1,16],[0,2,56],[0,4,47],[0,5,22],[1,2,77],[1,3,98],[1,4,20],[1,5,71],[2,4,22],[3,4,41],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,56],[0,4,47],[0,5,22],[1,2,77],[1,3,98],[1,4,20],[1,5,71],[2,4,22],[3,4,41],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (1,4)=20, w=36\",\"Add (0,5)=22, w=58\",\"Add (2,4)=22, w=80\",\"Add (3,4)=41, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,56],[0,4,47],[0,5,22],[1,2,77],[1,3,98],[1,4,20],[1,5,71],[2,4,22],[3,4,41],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (1,4)=20 Succeeded, w=36\",\"Add (0,5)=22 Succeeded, w=58\",\"Add (2,4)=22 Succeeded, w=80\",\"Add (4,5)=22 Failed, w=80\",\"Add (3,4)=41 Succeeded, w=121\",\"Add (0,4)=47 Failed, w=121\",\"Add (0,2)=56 Failed, w=121\",\"Add (1,5)=71 Failed, w=121\",\"Add (1,2)=77 Failed, w=121\",\"Add (1,3)=98 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],\"edges\":[[0,1,16],[0,2,56],[0,4,47],[0,5,22],[1,2,77],[1,3,98],[1,4,20],[1,5,71],[2,4,22],[3,4,41],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,4)=20,(0,5)=22,(2,4)=22,(4,5)=22,(3,4)=41,(0,4)=47,(0,2)=56,(1,5)=71,(1,2)=77,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(1)=0, Find(4)=4, Add (1,4)=20 Succeeded, w=36\",\"Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=58\",\"Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=80\",\"Find(4)=0, Find(5)=0, Add (4,5)=22 Failed, w=80\",\"Find(3)=3, Find(4)=0, Add (3,4)=41 Succeeded, w=121\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=121\",\"Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=121\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=121\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 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],\"edges\":[[0,1,16],[0,2,56],[0,4,47],[0,5,22],[1,2,77],[1,3,98],[1,4,20],[1,5,71],[2,4,22],[3,4,41],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,4)=20,(0,5)=22,(2,4)=22,(4,5)=22,(3,4)=41,(0,4)=47,(0,2)=56,(1,5)=71,(1,2)=77,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=22 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=41 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,62],[0,3,34],[0,5,61],[0,6,34],[0,7,20],[1,2,40],[1,6,62],[1,7,28],[2,5,71],[2,6,83],[3,7,38],[4,5,99],[4,6,96],[5,6,90],[6,7,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,3,34],[0,5,61],[0,6,34],[0,7,20],[1,2,40],[1,6,62],[1,7,28],[2,5,71],[2,6,83],[3,7,38],[4,5,99],[4,6,96],[5,6,90],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,3,34],[0,5,61],[0,6,34],[0,7,20],[1,2,40],[1,6,62],[1,7,28],[2,5,71],[2,6,83],[3,7,38],[4,5,99],[4,6,96],[5,6,90],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (1,7)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (4,6)\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,3,34],[0,5,61],[0,6,34],[0,7,20],[1,2,40],[1,6,62],[1,7,28],[2,5,71],[2,6,83],[3,7,38],[4,5,99],[4,6,96],[5,6,90],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=20, w=20\",\"Add (1,7)=28, w=48\",\"Add (0,3)=34, w=82\",\"Add (0,6)=34, w=116\",\"Add (1,2)=40, w=156\",\"Add (0,5)=61, w=217\",\"Add (4,6)=96, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,3,34],[0,5,61],[0,6,34],[0,7,20],[1,2,40],[1,6,62],[1,7,28],[2,5,71],[2,6,83],[3,7,38],[4,5,99],[4,6,96],[5,6,90],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=20 Succeeded, w=20\",\"Add (1,7)=28 Succeeded, w=48\",\"Add (0,3)=34 Succeeded, w=82\",\"Add (0,6)=34 Succeeded, w=116\",\"Add (3,7)=38 Failed, w=116\",\"Add (1,2)=40 Succeeded, w=156\",\"Add (0,5)=61 Succeeded, w=217\",\"Add (0,1)=62 Failed, w=217\",\"Add (1,6)=62 Failed, w=217\",\"Add (2,5)=71 Failed, w=217\",\"Add (2,6)=83 Failed, w=217\",\"Add (6,7)=86 Failed, w=217\",\"Add (5,6)=90 Failed, w=217\",\"Add (4,6)=96 Succeeded, w=313\",\"Add (4,5)=99 Failed, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,3,34],[0,5,61],[0,6,34],[0,7,20],[1,2,40],[1,6,62],[1,7,28],[2,5,71],[2,6,83],[3,7,38],[4,5,99],[4,6,96],[5,6,90],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=20,(1,7)=28,(0,3)=34,(0,6)=34,(3,7)=38,(1,2)=40,(0,5)=61,(0,1)=62,(1,6)=62,(2,5)=71,(2,6)=83,(6,7)=86,(5,6)=90,(4,6)=96,(4,5)=99]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=20 Succeeded, w=20\",\"Find(1)=1, Find(7)=0, Add (1,7)=28 Succeeded, w=48\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=82\",\"Find(0)=0, Find(6)=6, Add (0,6)=34 Succeeded, w=116\",\"Find(3)=0, Find(7)=0, Add (3,7)=38 Failed, w=116\",\"Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=156\",\"Find(0)=0, Find(5)=5, Add (0,5)=61 Succeeded, w=217\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=217\",\"Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=217\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=217\",\"Find(2)=0, Find(6)=0, Add (2,6)=83 Failed, w=217\",\"Find(6)=0, Find(7)=0, Add (6,7)=86 Failed, w=217\",\"Find(5)=0, Find(6)=0, Add (5,6)=90 Failed, w=217\",\"Find(4)=4, Find(6)=0, Add (4,6)=96 Succeeded, w=313\",\"Find(4)=0, Find(5)=0, Add (4,5)=99 Failed, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,3,34],[0,5,61],[0,6,34],[0,7,20],[1,2,40],[1,6,62],[1,7,28],[2,5,71],[2,6,83],[3,7,38],[4,5,99],[4,6,96],[5,6,90],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=20,(1,7)=28,(0,3)=34,(0,6)=34,(3,7)=38,(1,2)=40,(0,5)=61,(0,1)=62,(1,6)=62,(2,5)=71,(2,6)=83,(6,7)=86,(5,6)=90,(4,6)=96,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=28 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=34 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=38 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=61 Succeeded, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=62 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=83 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=86 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=90 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=96 Succeeded, w=313\",\"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)=99 Failed, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,7],[0,2,55],[0,3,20],[0,4,95],[0,5,88],[0,6,48],[1,2,52],[1,3,44],[1,4,36],[1,5,67],[2,3,81],[2,4,48],[2,5,32],[2,6,31],[3,4,83],[3,5,10],[3,6,70],[4,5,72],[4,6,98],[5,6,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,55],[0,3,20],[0,4,95],[0,5,88],[0,6,48],[1,2,52],[1,3,44],[1,4,36],[1,5,67],[2,3,81],[2,4,48],[2,5,32],[2,6,31],[3,4,83],[3,5,10],[3,6,70],[4,5,72],[4,6,98],[5,6,46]]}",
"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],\"edges\":[[0,1,7],[0,2,55],[0,3,20],[0,4,95],[0,5,88],[0,6,48],[1,2,52],[1,3,44],[1,4,36],[1,5,67],[2,3,81],[2,4,48],[2,5,32],[2,6,31],[3,4,83],[3,5,10],[3,6,70],[4,5,72],[4,6,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,55],[0,3,20],[0,4,95],[0,5,88],[0,6,48],[1,2,52],[1,3,44],[1,4,36],[1,5,67],[2,3,81],[2,4,48],[2,5,32],[2,6,31],[3,4,83],[3,5,10],[3,6,70],[4,5,72],[4,6,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (3,5)=10, w=17\",\"Add (0,3)=20, w=37\",\"Add (2,6)=31, w=68\",\"Add (2,5)=32, w=100\",\"Add (1,4)=36, 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],\"edges\":[[0,1,7],[0,2,55],[0,3,20],[0,4,95],[0,5,88],[0,6,48],[1,2,52],[1,3,44],[1,4,36],[1,5,67],[2,3,81],[2,4,48],[2,5,32],[2,6,31],[3,4,83],[3,5,10],[3,6,70],[4,5,72],[4,6,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (3,5)=10 Succeeded, w=17\",\"Add (0,3)=20 Succeeded, w=37\",\"Add (2,6)=31 Succeeded, w=68\",\"Add (2,5)=32 Succeeded, w=100\",\"Add (1,4)=36 Succeeded, w=136\",\"Add (1,3)=44 Failed, w=136\",\"Add (5,6)=46 Failed, w=136\",\"Add (0,6)=48 Failed, w=136\",\"Add (2,4)=48 Failed, w=136\",\"Add (1,2)=52 Failed, w=136\",\"Add (0,2)=55 Failed, w=136\",\"Add (1,5)=67 Failed, w=136\",\"Add (3,6)=70 Failed, w=136\",\"Add (4,5)=72 Failed, w=136\",\"Add (2,3)=81 Failed, w=136\",\"Add (3,4)=83 Failed, w=136\",\"Add (0,5)=88 Failed, w=136\",\"Add (0,4)=95 Failed, w=136\",\"Add (4,6)=98 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,55],[0,3,20],[0,4,95],[0,5,88],[0,6,48],[1,2,52],[1,3,44],[1,4,36],[1,5,67],[2,3,81],[2,4,48],[2,5,32],[2,6,31],[3,4,83],[3,5,10],[3,6,70],[4,5,72],[4,6,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(3,5)=10,(0,3)=20,(2,6)=31,(2,5)=32,(1,4)=36,(1,3)=44,(5,6)=46,(0,6)=48,(2,4)=48,(1,2)=52,(0,2)=55,(1,5)=67,(3,6)=70,(4,5)=72,(2,3)=81,(3,4)=83,(0,5)=88,(0,4)=95,(4,6)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=17\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=37\",\"Find(2)=2, Find(6)=6, Add (2,6)=31 Succeeded, w=68\",\"Find(2)=2, Find(5)=0, Add (2,5)=32 Succeeded, w=100\",\"Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=136\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=136\",\"Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=136\",\"Find(0)=0, Find(6)=0, Add (0,6)=48 Failed, w=136\",\"Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=136\",\"Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=136\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=136\",\"Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=136\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=136\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=136\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=136\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=136\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=136\",\"Find(4)=0, Find(6)=0, Add (4,6)=98 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,55],[0,3,20],[0,4,95],[0,5,88],[0,6,48],[1,2,52],[1,3,44],[1,4,36],[1,5,67],[2,3,81],[2,4,48],[2,5,32],[2,6,31],[3,4,83],[3,5,10],[3,6,70],[4,5,72],[4,6,98],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(3,5)=10,(0,3)=20,(2,6)=31,(2,5)=32,(1,4)=36,(1,3)=44,(5,6)=46,(0,6)=48,(2,4)=48,(1,2)=52,(0,2)=55,(1,5)=67,(3,6)=70,(4,5)=72,(2,3)=81,(3,4)=83,(0,5)=88,(0,4)=95,(4,6)=98]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=31 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 2}, Find(2)=2, Find(5)=0, Add (2,5)=32 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(4)=4, Add (1,4)=36 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=48 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=55 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=98 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,2,23],[0,3,99],[0,4,32],[1,3,72],[1,5,14],[2,3,33],[2,4,84],[3,4,40],[4,5,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,23],[0,3,99],[0,4,32],[1,3,72],[1,5,14],[2,3,33],[2,4,84],[3,4,40],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,23],[0,3,99],[0,4,32],[1,3,72],[1,5,14],[2,3,33],[2,4,84],[3,4,40],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (4,5)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,23],[0,3,99],[0,4,32],[1,3,72],[1,5,14],[2,3,33],[2,4,84],[3,4,40],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=14, w=14\",\"Add (0,2)=23, w=37\",\"Add (0,4)=32, w=69\",\"Add (2,3)=33, w=102\",\"Add (4,5)=44, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,23],[0,3,99],[0,4,32],[1,3,72],[1,5,14],[2,3,33],[2,4,84],[3,4,40],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=14 Succeeded, w=14\",\"Add (0,2)=23 Succeeded, w=37\",\"Add (0,4)=32 Succeeded, w=69\",\"Add (2,3)=33 Succeeded, w=102\",\"Add (3,4)=40 Failed, w=102\",\"Add (4,5)=44 Succeeded, w=146\",\"Add (0,1)=65 Failed, w=146\",\"Add (1,3)=72 Failed, w=146\",\"Add (2,4)=84 Failed, w=146\",\"Add (0,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,23],[0,3,99],[0,4,32],[1,3,72],[1,5,14],[2,3,33],[2,4,84],[3,4,40],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=14,(0,2)=23,(0,4)=32,(2,3)=33,(3,4)=40,(4,5)=44,(0,1)=65,(1,3)=72,(2,4)=84,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=37\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=69\",\"Find(2)=0, Find(3)=3, Add (2,3)=33 Succeeded, w=102\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=102\",\"Find(4)=0, Find(5)=1, Add (4,5)=44 Succeeded, w=146\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=146\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=146\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=146\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,23],[0,3,99],[0,4,32],[1,3,72],[1,5,14],[2,3,33],[2,4,84],[3,4,40],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=14,(0,2)=23,(0,4)=32,(2,3)=33,(3,4)=40,(4,5)=44,(0,1)=65,(1,3)=72,(2,4)=84,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(3)=3, Add (2,3)=33 Succeeded, w=102\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(4)=0, Find(5)=1, Add (4,5)=44 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,9],[0,3,67],[0,4,97],[0,6,50],[0,7,91],[1,2,28],[1,3,58],[1,4,31],[1,5,49],[1,7,5],[2,3,24],[2,4,87],[2,5,99],[2,6,17],[2,7,37],[3,4,36],[3,5,60],[3,6,42],[3,7,51],[4,5,60],[4,6,91],[4,7,83],[5,7,44],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,67],[0,4,97],[0,6,50],[0,7,91],[1,2,28],[1,3,58],[1,4,31],[1,5,49],[1,7,5],[2,3,24],[2,4,87],[2,5,99],[2,6,17],[2,7,37],[3,4,36],[3,5,60],[3,6,42],[3,7,51],[4,5,60],[4,6,91],[4,7,83],[5,7,44],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,67],[0,4,97],[0,6,50],[0,7,91],[1,2,28],[1,3,58],[1,4,31],[1,5,49],[1,7,5],[2,3,24],[2,4,87],[2,5,99],[2,6,17],[2,7,37],[3,4,36],[3,5,60],[3,6,42],[3,7,51],[4,5,60],[4,6,91],[4,7,83],[5,7,44],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (6,7)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (5,7)\"],\"Answer\":138}",
"role": "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],[0,3,67],[0,4,97],[0,6,50],[0,7,91],[1,2,28],[1,3,58],[1,4,31],[1,5,49],[1,7,5],[2,3,24],[2,4,87],[2,5,99],[2,6,17],[2,7,37],[3,4,36],[3,5,60],[3,6,42],[3,7,51],[4,5,60],[4,6,91],[4,7,83],[5,7,44],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=5, w=5\",\"Add (6,7)=8, w=13\",\"Add (0,1)=9, w=22\",\"Add (2,6)=17, w=39\",\"Add (2,3)=24, w=63\",\"Add (1,4)=31, w=94\",\"Add (5,7)=44, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,67],[0,4,97],[0,6,50],[0,7,91],[1,2,28],[1,3,58],[1,4,31],[1,5,49],[1,7,5],[2,3,24],[2,4,87],[2,5,99],[2,6,17],[2,7,37],[3,4,36],[3,5,60],[3,6,42],[3,7,51],[4,5,60],[4,6,91],[4,7,83],[5,7,44],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=5 Succeeded, w=5\",\"Add (6,7)=8 Succeeded, w=13\",\"Add (0,1)=9 Succeeded, w=22\",\"Add (2,6)=17 Succeeded, w=39\",\"Add (2,3)=24 Succeeded, w=63\",\"Add (1,2)=28 Failed, w=63\",\"Add (1,4)=31 Succeeded, w=94\",\"Add (3,4)=36 Failed, w=94\",\"Add (2,7)=37 Failed, w=94\",\"Add (3,6)=42 Failed, w=94\",\"Add (5,7)=44 Succeeded, w=138\",\"Add (1,5)=49 Failed, w=138\",\"Add (0,6)=50 Failed, w=138\",\"Add (3,7)=51 Failed, w=138\",\"Add (1,3)=58 Failed, w=138\",\"Add (3,5)=60 Failed, w=138\",\"Add (4,5)=60 Failed, w=138\",\"Add (0,3)=67 Failed, w=138\",\"Add (4,7)=83 Failed, w=138\",\"Add (2,4)=87 Failed, w=138\",\"Add (0,7)=91 Failed, w=138\",\"Add (4,6)=91 Failed, w=138\",\"Add (0,4)=97 Failed, w=138\",\"Add (2,5)=99 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,67],[0,4,97],[0,6,50],[0,7,91],[1,2,28],[1,3,58],[1,4,31],[1,5,49],[1,7,5],[2,3,24],[2,4,87],[2,5,99],[2,6,17],[2,7,37],[3,4,36],[3,5,60],[3,6,42],[3,7,51],[4,5,60],[4,6,91],[4,7,83],[5,7,44],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=5,(6,7)=8,(0,1)=9,(2,6)=17,(2,3)=24,(1,2)=28,(1,4)=31,(3,4)=36,(2,7)=37,(3,6)=42,(5,7)=44,(1,5)=49,(0,6)=50,(3,7)=51,(1,3)=58,(3,5)=60,(4,5)=60,(0,3)=67,(4,7)=83,(2,4)=87,(0,7)=91,(4,6)=91,(0,4)=97,(2,5)=99]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=5 Succeeded, w=5\",\"Find(6)=6, Find(7)=1, Add (6,7)=8 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=22\",\"Find(2)=2, Find(6)=1, Add (2,6)=17 Succeeded, w=39\",\"Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=63\",\"Find(1)=1, Find(2)=1, Add (1,2)=28 Failed, w=63\",\"Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=94\",\"Find(3)=1, Find(4)=1, Add (3,4)=36 Failed, w=94\",\"Find(2)=1, Find(7)=1, Add (2,7)=37 Failed, w=94\",\"Find(3)=1, Find(6)=1, Add (3,6)=42 Failed, w=94\",\"Find(5)=5, Find(7)=1, Add (5,7)=44 Succeeded, w=138\",\"Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=138\",\"Find(0)=1, Find(6)=1, Add (0,6)=50 Failed, w=138\",\"Find(3)=1, Find(7)=1, Add (3,7)=51 Failed, w=138\",\"Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=138\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=138\",\"Find(4)=1, Find(5)=1, Add (4,5)=60 Failed, w=138\",\"Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=138\",\"Find(4)=1, Find(7)=1, Add (4,7)=83 Failed, w=138\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=138\",\"Find(0)=1, Find(7)=1, Add (0,7)=91 Failed, w=138\",\"Find(4)=1, Find(6)=1, Add (4,6)=91 Failed, w=138\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=138\",\"Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,67],[0,4,97],[0,6,50],[0,7,91],[1,2,28],[1,3,58],[1,4,31],[1,5,49],[1,7,5],[2,3,24],[2,4,87],[2,5,99],[2,6,17],[2,7,37],[3,4,36],[3,5,60],[3,6,42],[3,7,51],[4,5,60],[4,6,91],[4,7,83],[5,7,44],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=5,(6,7)=8,(0,1)=9,(2,6)=17,(2,3)=24,(1,2)=28,(1,4)=31,(3,4)=36,(2,7)=37,(3,6)=42,(5,7)=44,(1,5)=49,(0,6)=50,(3,7)=51,(1,3)=58,(3,5)=60,(4,5)=60,(0,3)=67,(4,7)=83,(2,4)=87,(0,7)=91,(4,6)=91,(0,4)=97,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=8 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 1}, Find(2)=2, Find(6)=1, Add (2,6)=17 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 1}, Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=28 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=36 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=37 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=42 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=44 Succeeded, w=138\",\"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)=49 Failed, w=138\",\"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)=50 Failed, w=138\",\"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)=51 Failed, w=138\",\"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)=58 Failed, w=138\",\"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)=60 Failed, w=138\",\"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)=60 Failed, w=138\",\"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=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=83 Failed, w=138\",\"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)=87 Failed, w=138\",\"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)=91 Failed, w=138\",\"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)=91 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,51],[0,2,63],[0,3,41],[1,2,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,63],[0,3,41],[1,2,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,63],[0,3,41],[1,2,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,63],[0,3,41],[1,2,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=41, w=41\",\"Add (1,2)=47, w=88\",\"Add (0,1)=51, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,63],[0,3,41],[1,2,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=41 Succeeded, w=41\",\"Add (1,2)=47 Succeeded, w=88\",\"Add (0,1)=51 Succeeded, w=139\",\"Add (0,2)=63 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,63],[0,3,41],[1,2,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=41,(1,2)=47,(0,1)=51,(0,2)=63]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=41\",\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=88\",\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=139\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,63],[0,3,41],[1,2,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=41,(1,2)=47,(0,1)=51,(0,2)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,6],[0,3,79],[0,4,39],[1,2,9],[1,4,70],[2,3,37],[2,4,5],[3,4,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,6],[0,3,79],[0,4,39],[1,2,9],[1,4,70],[2,3,37],[2,4,5],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,6],[0,3,79],[0,4,39],[1,2,9],[1,4,70],[2,3,37],[2,4,5],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,6],[0,3,79],[0,4,39],[1,2,9],[1,4,70],[2,3,37],[2,4,5],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (1,2)=9, w=20\",\"Add (2,3)=37, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,6],[0,3,79],[0,4,39],[1,2,9],[1,4,70],[2,3,37],[2,4,5],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (1,2)=9 Succeeded, w=20\",\"Add (2,3)=37 Succeeded, w=57\",\"Add (0,4)=39 Failed, w=57\",\"Add (1,4)=70 Failed, w=57\",\"Add (0,1)=78 Failed, w=57\",\"Add (0,3)=79 Failed, w=57\",\"Add (3,4)=93 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,6],[0,3,79],[0,4,39],[1,2,9],[1,4,70],[2,3,37],[2,4,5],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(0,2)=6,(1,2)=9,(2,3)=37,(0,4)=39,(1,4)=70,(0,1)=78,(0,3)=79,(3,4)=93]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=57\",\"Find(0)=2, Find(4)=2, Add (0,4)=39 Failed, w=57\",\"Find(1)=2, Find(4)=2, Add (1,4)=70 Failed, w=57\",\"Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=57\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=57\",\"Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,6],[0,3,79],[0,4,39],[1,2,9],[1,4,70],[2,3,37],[2,4,5],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(0,2)=6,(1,2)=9,(2,3)=37,(0,4)=39,(1,4)=70,(0,1)=78,(0,3)=79,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=20\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=39 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=70 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,80],[0,3,14],[0,4,60],[1,2,1],[1,4,41],[2,3,80],[2,4,23],[3,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,80],[0,3,14],[0,4,60],[1,2,1],[1,4,41],[2,3,80],[2,4,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,80],[0,3,14],[0,4,60],[1,2,1],[1,4,41],[2,3,80],[2,4,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,80],[0,3,14],[0,4,60],[1,2,1],[1,4,41],[2,3,80],[2,4,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,3)=14, w=15\",\"Add (2,4)=23, w=38\",\"Add (0,4)=60, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,80],[0,3,14],[0,4,60],[1,2,1],[1,4,41],[2,3,80],[2,4,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,3)=14 Succeeded, w=15\",\"Add (2,4)=23 Succeeded, w=38\",\"Add (1,4)=41 Failed, w=38\",\"Add (0,4)=60 Succeeded, w=98\",\"Add (0,2)=80 Failed, w=98\",\"Add (2,3)=80 Failed, w=98\",\"Add (3,4)=91 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,80],[0,3,14],[0,4,60],[1,2,1],[1,4,41],[2,3,80],[2,4,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=14,(2,4)=23,(1,4)=41,(0,4)=60,(0,2)=80,(2,3)=80,(3,4)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=15\",\"Find(2)=1, Find(4)=4, Add (2,4)=23 Succeeded, w=38\",\"Find(1)=1, Find(4)=1, Add (1,4)=41 Failed, w=38\",\"Find(0)=0, Find(4)=1, Add (0,4)=60 Succeeded, w=98\",\"Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=98\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,80],[0,3,14],[0,4,60],[1,2,1],[1,4,41],[2,3,80],[2,4,23],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=14,(2,4)=23,(1,4)=41,(0,4)=60,(0,2)=80,(2,3)=80,(3,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=23 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=41 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=60 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,2],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,2],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,2],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,2],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,3)=11, w=13\"],\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,2],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=11 Succeeded, w=13\"],\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,2],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=11]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=11 Succeeded, w=13\"],\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,2],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=11]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=11 Succeeded, w=13\"],\"Answer\":13}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,100],[0,3,8],[0,4,9],[0,5,91],[0,7,57],[1,2,0],[1,3,3],[1,5,14],[2,3,97],[2,5,88],[3,5,97],[3,6,1],[3,7,22],[4,7,0],[5,6,25],[5,7,66],[6,7,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,8],[0,4,9],[0,5,91],[0,7,57],[1,2,0],[1,3,3],[1,5,14],[2,3,97],[2,5,88],[3,5,97],[3,6,1],[3,7,22],[4,7,0],[5,6,25],[5,7,66],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,8],[0,4,9],[0,5,91],[0,7,57],[1,2,0],[1,3,3],[1,5,14],[2,3,97],[2,5,88],[3,5,97],[3,6,1],[3,7,22],[4,7,0],[5,6,25],[5,7,66],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,7)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,8],[0,4,9],[0,5,91],[0,7,57],[1,2,0],[1,3,3],[1,5,14],[2,3,97],[2,5,88],[3,5,97],[3,6,1],[3,7,22],[4,7,0],[5,6,25],[5,7,66],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (4,7)=0, w=0\",\"Add (3,6)=1, w=1\",\"Add (1,3)=3, w=4\",\"Add (0,3)=8, w=12\",\"Add (0,4)=9, w=21\",\"Add (1,5)=14, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,8],[0,4,9],[0,5,91],[0,7,57],[1,2,0],[1,3,3],[1,5,14],[2,3,97],[2,5,88],[3,5,97],[3,6,1],[3,7,22],[4,7,0],[5,6,25],[5,7,66],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (4,7)=0 Succeeded, w=0\",\"Add (3,6)=1 Succeeded, w=1\",\"Add (1,3)=3 Succeeded, w=4\",\"Add (0,3)=8 Succeeded, w=12\",\"Add (0,4)=9 Succeeded, w=21\",\"Add (1,5)=14 Succeeded, w=35\",\"Add (3,7)=22 Failed, w=35\",\"Add (5,6)=25 Failed, w=35\",\"Add (6,7)=45 Failed, w=35\",\"Add (0,7)=57 Failed, w=35\",\"Add (5,7)=66 Failed, w=35\",\"Add (2,5)=88 Failed, w=35\",\"Add (0,5)=91 Failed, w=35\",\"Add (2,3)=97 Failed, w=35\",\"Add (3,5)=97 Failed, w=35\",\"Add (0,2)=100 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,8],[0,4,9],[0,5,91],[0,7,57],[1,2,0],[1,3,3],[1,5,14],[2,3,97],[2,5,88],[3,5,97],[3,6,1],[3,7,22],[4,7,0],[5,6,25],[5,7,66],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(4,7)=0,(3,6)=1,(1,3)=3,(0,3)=8,(0,4)=9,(1,5)=14,(3,7)=22,(5,6)=25,(6,7)=45,(0,7)=57,(5,7)=66,(2,5)=88,(0,5)=91,(2,3)=97,(3,5)=97,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Find(0)=0, Find(3)=1, Add (0,3)=8 Succeeded, w=12\",\"Find(0)=1, Find(4)=4, Add (0,4)=9 Succeeded, w=21\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=35\",\"Find(3)=1, Find(7)=1, Add (3,7)=22 Failed, w=35\",\"Find(5)=1, Find(6)=1, Add (5,6)=25 Failed, w=35\",\"Find(6)=1, Find(7)=1, Add (6,7)=45 Failed, w=35\",\"Find(0)=1, Find(7)=1, Add (0,7)=57 Failed, w=35\",\"Find(5)=1, Find(7)=1, Add (5,7)=66 Failed, w=35\",\"Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=35\",\"Find(0)=1, Find(5)=1, Add (0,5)=91 Failed, w=35\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=35\",\"Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=35\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,8],[0,4,9],[0,5,91],[0,7,57],[1,2,0],[1,3,3],[1,5,14],[2,3,97],[2,5,88],[3,5,97],[3,6,1],[3,7,22],[4,7,0],[5,6,25],[5,7,66],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(4,7)=0,(3,6)=1,(1,3)=3,(0,3)=8,(0,4)=9,(1,5)=14,(3,7)=22,(5,6)=25,(6,7)=45,(0,7)=57,(5,7)=66,(2,5)=88,(0,5)=91,(2,3)=97,(3,5)=97,(0,2)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 3, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 3, 7: 4}, Find(0)=0, Find(3)=1, Add (0,3)=8 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3, 7: 4}, Find(0)=1, Find(4)=4, Add (0,4)=9 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 4}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=22 Failed, w=35\",\"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)=25 Failed, w=35\",\"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)=45 Failed, w=35\",\"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)=57 Failed, w=35\",\"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)=66 Failed, w=35\",\"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)=88 Failed, w=35\",\"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)=91 Failed, w=35\",\"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)=97 Failed, w=35\",\"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)=97 Failed, w=35\",\"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)=100 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,28],[0,2,36],[0,4,52],[1,3,2],[1,4,45],[2,3,5],[2,4,82],[3,4,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,36],[0,4,52],[1,3,2],[1,4,45],[2,3,5],[2,4,82],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,36],[0,4,52],[1,3,2],[1,4,45],[2,3,5],[2,4,82],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,36],[0,4,52],[1,3,2],[1,4,45],[2,3,5],[2,4,82],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,3)=5, w=7\",\"Add (0,1)=28, w=35\",\"Add (1,4)=45, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,36],[0,4,52],[1,3,2],[1,4,45],[2,3,5],[2,4,82],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=5 Succeeded, w=7\",\"Add (0,1)=28 Succeeded, w=35\",\"Add (0,2)=36 Failed, w=35\",\"Add (1,4)=45 Succeeded, w=80\",\"Add (0,4)=52 Failed, w=80\",\"Add (3,4)=57 Failed, w=80\",\"Add (2,4)=82 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,36],[0,4,52],[1,3,2],[1,4,45],[2,3,5],[2,4,82],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=5,(0,1)=28,(0,2)=36,(1,4)=45,(0,4)=52,(3,4)=57,(2,4)=82]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=5 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=35\",\"Find(0)=1, Find(2)=1, Add (0,2)=36 Failed, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=80\",\"Find(0)=1, Find(4)=1, Add (0,4)=52 Failed, w=80\",\"Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=80\",\"Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,36],[0,4,52],[1,3,2],[1,4,45],[2,3,5],[2,4,82],[3,4,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=5,(0,1)=28,(0,2)=36,(1,4)=45,(0,4)=52,(3,4)=57,(2,4)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=5 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(2)=1, Add (0,2)=36 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=52 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,85],[0,2,52],[0,3,64],[0,4,31],[0,5,95],[1,3,1],[1,4,21],[1,5,15],[2,3,64],[2,4,17],[2,5,44],[4,5,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,52],[0,3,64],[0,4,31],[0,5,95],[1,3,1],[1,4,21],[1,5,15],[2,3,64],[2,4,17],[2,5,44],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,52],[0,3,64],[0,4,31],[0,5,95],[1,3,1],[1,4,21],[1,5,15],[2,3,64],[2,4,17],[2,5,44],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,52],[0,3,64],[0,4,31],[0,5,95],[1,3,1],[1,4,21],[1,5,15],[2,3,64],[2,4,17],[2,5,44],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,5)=15, w=16\",\"Add (2,4)=17, w=33\",\"Add (4,5)=18, w=51\",\"Add (0,4)=31, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,52],[0,3,64],[0,4,31],[0,5,95],[1,3,1],[1,4,21],[1,5,15],[2,3,64],[2,4,17],[2,5,44],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,5)=15 Succeeded, w=16\",\"Add (2,4)=17 Succeeded, w=33\",\"Add (4,5)=18 Succeeded, w=51\",\"Add (1,4)=21 Failed, w=51\",\"Add (0,4)=31 Succeeded, w=82\",\"Add (2,5)=44 Failed, w=82\",\"Add (0,2)=52 Failed, w=82\",\"Add (0,3)=64 Failed, w=82\",\"Add (2,3)=64 Failed, w=82\",\"Add (0,1)=85 Failed, w=82\",\"Add (0,5)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,52],[0,3,64],[0,4,31],[0,5,95],[1,3,1],[1,4,21],[1,5,15],[2,3,64],[2,4,17],[2,5,44],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,5)=15,(2,4)=17,(4,5)=18,(1,4)=21,(0,4)=31,(2,5)=44,(0,2)=52,(0,3)=64,(2,3)=64,(0,1)=85,(0,5)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=16\",\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=33\",\"Find(4)=2, Find(5)=1, Add (4,5)=18 Succeeded, w=51\",\"Find(1)=2, Find(4)=2, Add (1,4)=21 Failed, w=51\",\"Find(0)=0, Find(4)=2, Add (0,4)=31 Succeeded, w=82\",\"Find(2)=2, Find(5)=2, Add (2,5)=44 Failed, w=82\",\"Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=82\",\"Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=82\",\"Find(2)=2, Find(3)=2, Add (2,3)=64 Failed, w=82\",\"Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=82\",\"Find(0)=2, Find(5)=2, Add (0,5)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,52],[0,3,64],[0,4,31],[0,5,95],[1,3,1],[1,4,21],[1,5,15],[2,3,64],[2,4,17],[2,5,44],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,5)=15,(2,4)=17,(4,5)=18,(1,4)=21,(0,4)=31,(2,5)=44,(0,2)=52,(0,3)=64,(2,3)=64,(0,1)=85,(0,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=15 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1}, Find(4)=2, Find(5)=1, Add (4,5)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1}, Find(1)=2, Find(4)=2, Add (1,4)=21 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1}, Find(0)=0, Find(4)=2, Add (0,4)=31 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=44 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=64 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,3],[0,3,80],[0,4,29],[1,2,7],[1,3,84],[1,4,12],[2,3,92],[2,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,3],[0,3,80],[0,4,29],[1,2,7],[1,3,84],[1,4,12],[2,3,92],[2,4,97]]}",
"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\":[[0,1,32],[0,2,3],[0,3,80],[0,4,29],[1,2,7],[1,3,84],[1,4,12],[2,3,92],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,3],[0,3,80],[0,4,29],[1,2,7],[1,3,84],[1,4,12],[2,3,92],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,2)=7, w=10\",\"Add (1,4)=12, w=22\",\"Add (0,3)=80, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,3],[0,3,80],[0,4,29],[1,2,7],[1,3,84],[1,4,12],[2,3,92],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,2)=7 Succeeded, w=10\",\"Add (1,4)=12 Succeeded, w=22\",\"Add (0,4)=29 Failed, w=22\",\"Add (0,1)=32 Failed, w=22\",\"Add (0,3)=80 Succeeded, w=102\",\"Add (1,3)=84 Failed, w=102\",\"Add (2,3)=92 Failed, w=102\",\"Add (2,4)=97 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\":[[0,1,32],[0,2,3],[0,3,80],[0,4,29],[1,2,7],[1,3,84],[1,4,12],[2,3,92],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=7,(1,4)=12,(0,4)=29,(0,1)=32,(0,3)=80,(1,3)=84,(2,3)=92,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=0, Add (1,2)=7 Succeeded, w=10\",\"Find(1)=0, Find(4)=4, Add (1,4)=12 Succeeded, w=22\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=22\",\"Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=80 Succeeded, w=102\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=102\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 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\":[[0,1,32],[0,2,3],[0,3,80],[0,4,29],[1,2,7],[1,3,84],[1,4,12],[2,3,92],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=7,(1,4)=12,(0,4)=29,(0,1)=32,(0,3)=80,(1,3)=84,(2,3)=92,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=80 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,3,30],[0,5,28],[1,2,70],[1,4,54],[2,3,35],[3,4,46],[4,5,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,3,30],[0,5,28],[1,2,70],[1,4,54],[2,3,35],[3,4,46],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,3,30],[0,5,28],[1,2,70],[1,4,54],[2,3,35],[3,4,46],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,3,30],[0,5,28],[1,2,70],[1,4,54],[2,3,35],[3,4,46],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=28, w=28\",\"Add (0,3)=30, w=58\",\"Add (4,5)=30, w=88\",\"Add (2,3)=35, w=123\",\"Add (1,4)=54, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,3,30],[0,5,28],[1,2,70],[1,4,54],[2,3,35],[3,4,46],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=28 Succeeded, w=28\",\"Add (0,3)=30 Succeeded, w=58\",\"Add (4,5)=30 Succeeded, w=88\",\"Add (2,3)=35 Succeeded, w=123\",\"Add (3,4)=46 Failed, w=123\",\"Add (1,4)=54 Succeeded, w=177\",\"Add (1,2)=70 Failed, w=177\",\"Add (0,1)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,3,30],[0,5,28],[1,2,70],[1,4,54],[2,3,35],[3,4,46],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=28,(0,3)=30,(4,5)=30,(2,3)=35,(3,4)=46,(1,4)=54,(1,2)=70,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=28 Succeeded, w=28\",\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=58\",\"Find(4)=4, Find(5)=0, Add (4,5)=30 Succeeded, w=88\",\"Find(2)=2, Find(3)=0, Add (2,3)=35 Succeeded, w=123\",\"Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=123\",\"Find(1)=1, Find(4)=0, Add (1,4)=54 Succeeded, w=177\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=177\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,3,30],[0,5,28],[1,2,70],[1,4,54],[2,3,35],[3,4,46],[4,5,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=28,(0,3)=30,(4,5)=30,(2,3)=35,(3,4)=46,(1,4)=54,(1,2)=70,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=30 Succeeded, w=88\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=35 Succeeded, w=123\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=54 Succeeded, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,22],[0,2,81],[0,3,28],[0,4,89],[1,2,40],[1,3,98],[1,4,59],[2,3,87],[2,4,82],[3,4,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,81],[0,3,28],[0,4,89],[1,2,40],[1,3,98],[1,4,59],[2,3,87],[2,4,82],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,81],[0,3,28],[0,4,89],[1,2,40],[1,3,98],[1,4,59],[2,3,87],[2,4,82],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,81],[0,3,28],[0,4,89],[1,2,40],[1,3,98],[1,4,59],[2,3,87],[2,4,82],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22, w=22\",\"Add (0,3)=28, w=50\",\"Add (1,2)=40, w=90\",\"Add (1,4)=59, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,81],[0,3,28],[0,4,89],[1,2,40],[1,3,98],[1,4,59],[2,3,87],[2,4,82],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22 Succeeded, w=22\",\"Add (0,3)=28 Succeeded, w=50\",\"Add (1,2)=40 Succeeded, w=90\",\"Add (1,4)=59 Succeeded, w=149\",\"Add (0,2)=81 Failed, w=149\",\"Add (2,4)=82 Failed, w=149\",\"Add (2,3)=87 Failed, w=149\",\"Add (0,4)=89 Failed, w=149\",\"Add (3,4)=89 Failed, w=149\",\"Add (1,3)=98 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,81],[0,3,28],[0,4,89],[1,2,40],[1,3,98],[1,4,59],[2,3,87],[2,4,82],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(0,3)=28,(1,2)=40,(1,4)=59,(0,2)=81,(2,4)=82,(2,3)=87,(0,4)=89,(3,4)=89,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=50\",\"Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=90\",\"Find(1)=0, Find(4)=4, Add (1,4)=59 Succeeded, w=149\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=149\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=149\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=149\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=149\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,81],[0,3,28],[0,4,89],[1,2,40],[1,3,98],[1,4,59],[2,3,87],[2,4,82],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(0,3)=28,(1,2)=40,(1,4)=59,(0,2)=81,(2,4)=82,(2,3)=87,(0,4)=89,(3,4)=89,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=59 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,37],[0,4,47],[0,5,89],[0,6,98],[1,2,98],[1,3,41],[1,4,91],[1,5,28],[1,6,62],[2,3,49],[2,4,63],[2,5,2],[2,6,9],[3,4,66],[3,5,13],[3,6,99],[4,5,61],[4,6,100],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,37],[0,4,47],[0,5,89],[0,6,98],[1,2,98],[1,3,41],[1,4,91],[1,5,28],[1,6,62],[2,3,49],[2,4,63],[2,5,2],[2,6,9],[3,4,66],[3,5,13],[3,6,99],[4,5,61],[4,6,100],[5,6,19]]}",
"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],\"edges\":[[0,1,37],[0,4,47],[0,5,89],[0,6,98],[1,2,98],[1,3,41],[1,4,91],[1,5,28],[1,6,62],[2,3,49],[2,4,63],[2,5,2],[2,6,9],[3,4,66],[3,5,13],[3,6,99],[4,5,61],[4,6,100],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (0,1)\",\"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],\"edges\":[[0,1,37],[0,4,47],[0,5,89],[0,6,98],[1,2,98],[1,3,41],[1,4,91],[1,5,28],[1,6,62],[2,3,49],[2,4,63],[2,5,2],[2,6,9],[3,4,66],[3,5,13],[3,6,99],[4,5,61],[4,6,100],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (2,6)=9, w=11\",\"Add (3,5)=13, w=24\",\"Add (1,5)=28, w=52\",\"Add (0,1)=37, w=89\",\"Add (0,4)=47, 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],\"edges\":[[0,1,37],[0,4,47],[0,5,89],[0,6,98],[1,2,98],[1,3,41],[1,4,91],[1,5,28],[1,6,62],[2,3,49],[2,4,63],[2,5,2],[2,6,9],[3,4,66],[3,5,13],[3,6,99],[4,5,61],[4,6,100],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (2,6)=9 Succeeded, w=11\",\"Add (3,5)=13 Succeeded, w=24\",\"Add (5,6)=19 Failed, w=24\",\"Add (1,5)=28 Succeeded, w=52\",\"Add (0,1)=37 Succeeded, w=89\",\"Add (1,3)=41 Failed, w=89\",\"Add (0,4)=47 Succeeded, w=136\",\"Add (2,3)=49 Failed, w=136\",\"Add (4,5)=61 Failed, w=136\",\"Add (1,6)=62 Failed, w=136\",\"Add (2,4)=63 Failed, w=136\",\"Add (3,4)=66 Failed, w=136\",\"Add (0,5)=89 Failed, w=136\",\"Add (1,4)=91 Failed, w=136\",\"Add (0,6)=98 Failed, w=136\",\"Add (1,2)=98 Failed, w=136\",\"Add (3,6)=99 Failed, w=136\",\"Add (4,6)=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],\"edges\":[[0,1,37],[0,4,47],[0,5,89],[0,6,98],[1,2,98],[1,3,41],[1,4,91],[1,5,28],[1,6,62],[2,3,49],[2,4,63],[2,5,2],[2,6,9],[3,4,66],[3,5,13],[3,6,99],[4,5,61],[4,6,100],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(2,6)=9,(3,5)=13,(5,6)=19,(1,5)=28,(0,1)=37,(1,3)=41,(0,4)=47,(2,3)=49,(4,5)=61,(1,6)=62,(2,4)=63,(3,4)=66,(0,5)=89,(1,4)=91,(0,6)=98,(1,2)=98,(3,6)=99,(4,6)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=11\",\"Find(3)=3, Find(5)=2, Add (3,5)=13 Succeeded, w=24\",\"Find(5)=2, Find(6)=2, Add (5,6)=19 Failed, w=24\",\"Find(1)=1, Find(5)=2, Add (1,5)=28 Succeeded, w=52\",\"Find(0)=0, Find(1)=2, Add (0,1)=37 Succeeded, w=89\",\"Find(1)=2, Find(3)=2, Add (1,3)=41 Failed, w=89\",\"Find(0)=2, Find(4)=4, Add (0,4)=47 Succeeded, w=136\",\"Find(2)=2, Find(3)=2, Add (2,3)=49 Failed, w=136\",\"Find(4)=2, Find(5)=2, Add (4,5)=61 Failed, w=136\",\"Find(1)=2, Find(6)=2, Add (1,6)=62 Failed, w=136\",\"Find(2)=2, Find(4)=2, Add (2,4)=63 Failed, w=136\",\"Find(3)=2, Find(4)=2, Add (3,4)=66 Failed, w=136\",\"Find(0)=2, Find(5)=2, Add (0,5)=89 Failed, w=136\",\"Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=136\",\"Find(0)=2, Find(6)=2, Add (0,6)=98 Failed, w=136\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=136\",\"Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=136\",\"Find(4)=2, Find(6)=2, Add (4,6)=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],\"edges\":[[0,1,37],[0,4,47],[0,5,89],[0,6,98],[1,2,98],[1,3,41],[1,4,91],[1,5,28],[1,6,62],[2,3,49],[2,4,63],[2,5,2],[2,6,9],[3,4,66],[3,5,13],[3,6,99],[4,5,61],[4,6,100],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(2,6)=9,(3,5)=13,(5,6)=19,(1,5)=28,(0,1)=37,(1,3)=41,(0,4)=47,(2,3)=49,(4,5)=61,(1,6)=62,(2,4)=63,(3,4)=66,(0,5)=89,(1,4)=91,(0,6)=98,(1,2)=98,(3,6)=99,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=3, Find(5)=2, Add (3,5)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=19 Failed, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=28 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(0)=0, Find(1)=2, Add (0,1)=37 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=41 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=4, Add (0,4)=47 Succeeded, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=49 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=61 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=62 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=63 Failed, w=136\",\"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=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=89 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=98 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=100 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,40],[0,2,77],[0,4,37],[0,7,19],[1,2,61],[1,4,43],[1,5,20],[1,6,31],[2,4,3],[2,5,53],[2,6,100],[3,6,44],[4,5,54],[4,7,74],[5,6,31],[5,7,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,77],[0,4,37],[0,7,19],[1,2,61],[1,4,43],[1,5,20],[1,6,31],[2,4,3],[2,5,53],[2,6,100],[3,6,44],[4,5,54],[4,7,74],[5,6,31],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,77],[0,4,37],[0,7,19],[1,2,61],[1,4,43],[1,5,20],[1,6,31],[2,4,3],[2,5,53],[2,6,100],[3,6,44],[4,5,54],[4,7,74],[5,6,31],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,7)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (3,6)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,77],[0,4,37],[0,7,19],[1,2,61],[1,4,43],[1,5,20],[1,6,31],[2,4,3],[2,5,53],[2,6,100],[3,6,44],[4,5,54],[4,7,74],[5,6,31],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (0,7)=19, w=22\",\"Add (1,5)=20, w=42\",\"Add (1,6)=31, w=73\",\"Add (0,4)=37, w=110\",\"Add (0,1)=40, w=150\",\"Add (3,6)=44, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,77],[0,4,37],[0,7,19],[1,2,61],[1,4,43],[1,5,20],[1,6,31],[2,4,3],[2,5,53],[2,6,100],[3,6,44],[4,5,54],[4,7,74],[5,6,31],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (0,7)=19 Succeeded, w=22\",\"Add (1,5)=20 Succeeded, w=42\",\"Add (1,6)=31 Succeeded, w=73\",\"Add (5,6)=31 Failed, w=73\",\"Add (0,4)=37 Succeeded, w=110\",\"Add (0,1)=40 Succeeded, w=150\",\"Add (1,4)=43 Failed, w=150\",\"Add (3,6)=44 Succeeded, w=194\",\"Add (2,5)=53 Failed, w=194\",\"Add (4,5)=54 Failed, w=194\",\"Add (5,7)=57 Failed, w=194\",\"Add (1,2)=61 Failed, w=194\",\"Add (4,7)=74 Failed, w=194\",\"Add (0,2)=77 Failed, w=194\",\"Add (2,6)=100 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,77],[0,4,37],[0,7,19],[1,2,61],[1,4,43],[1,5,20],[1,6,31],[2,4,3],[2,5,53],[2,6,100],[3,6,44],[4,5,54],[4,7,74],[5,6,31],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,7)=19,(1,5)=20,(1,6)=31,(5,6)=31,(0,4)=37,(0,1)=40,(1,4)=43,(3,6)=44,(2,5)=53,(4,5)=54,(5,7)=57,(1,2)=61,(4,7)=74,(0,2)=77,(2,6)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(7)=7, Add (0,7)=19 Succeeded, w=22\",\"Find(1)=1, Find(5)=5, Add (1,5)=20 Succeeded, w=42\",\"Find(1)=1, Find(6)=6, Add (1,6)=31 Succeeded, w=73\",\"Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=73\",\"Find(0)=0, Find(4)=2, Add (0,4)=37 Succeeded, w=110\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=150\",\"Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=150\",\"Find(3)=3, Find(6)=0, Add (3,6)=44 Succeeded, w=194\",\"Find(2)=0, Find(5)=0, Add (2,5)=53 Failed, w=194\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=194\",\"Find(5)=0, Find(7)=0, Add (5,7)=57 Failed, w=194\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=194\",\"Find(4)=0, Find(7)=0, Add (4,7)=74 Failed, w=194\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=194\",\"Find(2)=0, Find(6)=0, Add (2,6)=100 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,40],[0,2,77],[0,4,37],[0,7,19],[1,2,61],[1,4,43],[1,5,20],[1,6,31],[2,4,3],[2,5,53],[2,6,100],[3,6,44],[4,5,54],[4,7,74],[5,6,31],[5,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,7)=19,(1,5)=20,(1,6)=31,(5,6)=31,(0,4)=37,(0,1)=40,(1,4)=43,(3,6)=44,(2,5)=53,(4,5)=54,(5,7)=57,(1,2)=61,(4,7)=74,(0,2)=77,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=19 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(5)=5, Add (1,5)=20 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(6)=6, Add (1,6)=31 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1, 7: 0}, Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 2, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(4)=2, Add (0,4)=37 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 1, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(3)=3, Find(6)=0, Add (3,6)=44 Succeeded, w=194\",\"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)=53 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=194\",\"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)=57 Failed, w=194\",\"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)=61 Failed, w=194\",\"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)=74 Failed, w=194\",\"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)=77 Failed, w=194\",\"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)=100 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,89],[0,4,82],[0,5,70],[1,2,11],[1,4,91],[1,5,75],[2,3,100],[2,4,29],[2,5,91],[3,4,25],[3,5,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,89],[0,4,82],[0,5,70],[1,2,11],[1,4,91],[1,5,75],[2,3,100],[2,4,29],[2,5,91],[3,4,25],[3,5,12]]}",
"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\":[[0,1,38],[0,2,89],[0,4,82],[0,5,70],[1,2,11],[1,4,91],[1,5,75],[2,3,100],[2,4,29],[2,5,91],[3,4,25],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,89],[0,4,82],[0,5,70],[1,2,11],[1,4,91],[1,5,75],[2,3,100],[2,4,29],[2,5,91],[3,4,25],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (3,5)=12, w=23\",\"Add (3,4)=25, w=48\",\"Add (2,4)=29, w=77\",\"Add (0,1)=38, 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\":[[0,1,38],[0,2,89],[0,4,82],[0,5,70],[1,2,11],[1,4,91],[1,5,75],[2,3,100],[2,4,29],[2,5,91],[3,4,25],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (3,5)=12 Succeeded, w=23\",\"Add (3,4)=25 Succeeded, w=48\",\"Add (2,4)=29 Succeeded, w=77\",\"Add (0,1)=38 Succeeded, w=115\",\"Add (0,5)=70 Failed, w=115\",\"Add (1,5)=75 Failed, w=115\",\"Add (0,4)=82 Failed, w=115\",\"Add (0,2)=89 Failed, w=115\",\"Add (1,4)=91 Failed, w=115\",\"Add (2,5)=91 Failed, w=115\",\"Add (2,3)=100 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\":[[0,1,38],[0,2,89],[0,4,82],[0,5,70],[1,2,11],[1,4,91],[1,5,75],[2,3,100],[2,4,29],[2,5,91],[3,4,25],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(3,5)=12,(3,4)=25,(2,4)=29,(0,1)=38,(0,5)=70,(1,5)=75,(0,4)=82,(0,2)=89,(1,4)=91,(2,5)=91,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=23\",\"Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=48\",\"Find(2)=1, Find(4)=3, Add (2,4)=29 Succeeded, w=77\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=115\",\"Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=115\",\"Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=115\",\"Find(0)=1, Find(4)=1, Add (0,4)=82 Failed, w=115\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=115\",\"Find(1)=1, Find(4)=1, Add (1,4)=91 Failed, w=115\",\"Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=115\",\"Find(2)=1, Find(3)=1, Add (2,3)=100 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\":[[0,1,38],[0,2,89],[0,4,82],[0,5,70],[1,2,11],[1,4,91],[1,5,75],[2,3,100],[2,4,29],[2,5,91],[3,4,25],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(3,5)=12,(3,4)=25,(2,4)=29,(0,1)=38,(0,5)=70,(1,5)=75,(0,4)=82,(0,2)=89,(1,4)=91,(2,5)=91,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(2)=1, Find(4)=3, Add (2,4)=29 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=82 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=91 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,68],[0,2,87],[0,3,13],[0,4,44],[0,5,73],[1,2,41],[1,3,57],[1,4,36],[2,3,26],[2,4,76],[2,5,41],[3,4,30],[3,5,43],[3,6,91],[4,5,22],[4,6,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,87],[0,3,13],[0,4,44],[0,5,73],[1,2,41],[1,3,57],[1,4,36],[2,3,26],[2,4,76],[2,5,41],[3,4,30],[3,5,43],[3,6,91],[4,5,22],[4,6,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,87],[0,3,13],[0,4,44],[0,5,73],[1,2,41],[1,3,57],[1,4,36],[2,3,26],[2,4,76],[2,5,41],[3,4,30],[3,5,43],[3,6,91],[4,5,22],[4,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (3,6)\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,87],[0,3,13],[0,4,44],[0,5,73],[1,2,41],[1,3,57],[1,4,36],[2,3,26],[2,4,76],[2,5,41],[3,4,30],[3,5,43],[3,6,91],[4,5,22],[4,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (4,5)=22, w=35\",\"Add (2,3)=26, w=61\",\"Add (3,4)=30, w=91\",\"Add (1,4)=36, w=127\",\"Add (3,6)=91, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,87],[0,3,13],[0,4,44],[0,5,73],[1,2,41],[1,3,57],[1,4,36],[2,3,26],[2,4,76],[2,5,41],[3,4,30],[3,5,43],[3,6,91],[4,5,22],[4,6,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (4,5)=22 Succeeded, w=35\",\"Add (2,3)=26 Succeeded, w=61\",\"Add (3,4)=30 Succeeded, w=91\",\"Add (1,4)=36 Succeeded, w=127\",\"Add (1,2)=41 Failed, w=127\",\"Add (2,5)=41 Failed, w=127\",\"Add (3,5)=43 Failed, w=127\",\"Add (0,4)=44 Failed, w=127\",\"Add (1,3)=57 Failed, w=127\",\"Add (0,1)=68 Failed, w=127\",\"Add (0,5)=73 Failed, w=127\",\"Add (2,4)=76 Failed, w=127\",\"Add (0,2)=87 Failed, w=127\",\"Add (3,6)=91 Succeeded, w=218\",\"Add (4,6)=92 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,87],[0,3,13],[0,4,44],[0,5,73],[1,2,41],[1,3,57],[1,4,36],[2,3,26],[2,4,76],[2,5,41],[3,4,30],[3,5,43],[3,6,91],[4,5,22],[4,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(4,5)=22,(2,3)=26,(3,4)=30,(1,4)=36,(1,2)=41,(2,5)=41,(3,5)=43,(0,4)=44,(1,3)=57,(0,1)=68,(0,5)=73,(2,4)=76,(0,2)=87,(3,6)=91,(4,6)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(4)=4, Find(5)=5, Add (4,5)=22 Succeeded, w=35\",\"Find(2)=2, Find(3)=0, Add (2,3)=26 Succeeded, w=61\",\"Find(3)=0, Find(4)=4, Add (3,4)=30 Succeeded, w=91\",\"Find(1)=1, Find(4)=0, Add (1,4)=36 Succeeded, w=127\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=127\",\"Find(2)=0, Find(5)=0, Add (2,5)=41 Failed, w=127\",\"Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=127\",\"Find(0)=0, Find(4)=0, Add (0,4)=44 Failed, w=127\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=127\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=127\",\"Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=127\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=127\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=127\",\"Find(3)=0, Find(6)=6, Add (3,6)=91 Succeeded, w=218\",\"Find(4)=0, Find(6)=0, Add (4,6)=92 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,87],[0,3,13],[0,4,44],[0,5,73],[1,2,41],[1,3,57],[1,4,36],[2,3,26],[2,4,76],[2,5,41],[3,4,30],[3,5,43],[3,6,91],[4,5,22],[4,6,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(4,5)=22,(2,3)=26,(3,4)=30,(1,4)=36,(1,2)=41,(2,5)=41,(3,5)=43,(0,4)=44,(1,3)=57,(0,1)=68,(0,5)=73,(2,4)=76,(0,2)=87,(3,6)=91,(4,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=22 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=26 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=30 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6}, Find(1)=1, Find(4)=0, Add (1,4)=36 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(5)=0, Add (2,5)=41 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=44 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=91 Succeeded, w=218\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=92 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,19],[0,2,59],[0,4,0],[0,5,96],[0,6,60],[0,7,86],[1,2,18],[1,3,55],[1,4,83],[1,5,82],[1,6,17],[2,3,94],[2,4,5],[2,5,25],[2,6,65],[2,7,71],[3,4,82],[3,5,85],[3,6,99],[3,7,42],[4,5,80],[4,7,53],[5,6,70],[5,7,37],[6,7,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,59],[0,4,0],[0,5,96],[0,6,60],[0,7,86],[1,2,18],[1,3,55],[1,4,83],[1,5,82],[1,6,17],[2,3,94],[2,4,5],[2,5,25],[2,6,65],[2,7,71],[3,4,82],[3,5,85],[3,6,99],[3,7,42],[4,5,80],[4,7,53],[5,6,70],[5,7,37],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,59],[0,4,0],[0,5,96],[0,6,60],[0,7,86],[1,2,18],[1,3,55],[1,4,83],[1,5,82],[1,6,17],[2,3,94],[2,4,5],[2,5,25],[2,6,65],[2,7,71],[3,4,82],[3,5,85],[3,6,99],[3,7,42],[4,5,80],[4,7,53],[5,6,70],[5,7,37],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (5,7)\",\"Add (3,7)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,59],[0,4,0],[0,5,96],[0,6,60],[0,7,86],[1,2,18],[1,3,55],[1,4,83],[1,5,82],[1,6,17],[2,3,94],[2,4,5],[2,5,25],[2,6,65],[2,7,71],[3,4,82],[3,5,85],[3,6,99],[3,7,42],[4,5,80],[4,7,53],[5,6,70],[5,7,37],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (2,4)=5, w=5\",\"Add (1,6)=17, w=22\",\"Add (1,2)=18, w=40\",\"Add (2,5)=25, w=65\",\"Add (5,7)=37, w=102\",\"Add (3,7)=42, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,59],[0,4,0],[0,5,96],[0,6,60],[0,7,86],[1,2,18],[1,3,55],[1,4,83],[1,5,82],[1,6,17],[2,3,94],[2,4,5],[2,5,25],[2,6,65],[2,7,71],[3,4,82],[3,5,85],[3,6,99],[3,7,42],[4,5,80],[4,7,53],[5,6,70],[5,7,37],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (2,4)=5 Succeeded, w=5\",\"Add (1,6)=17 Succeeded, w=22\",\"Add (1,2)=18 Succeeded, w=40\",\"Add (0,1)=19 Failed, w=40\",\"Add (2,5)=25 Succeeded, w=65\",\"Add (5,7)=37 Succeeded, w=102\",\"Add (3,7)=42 Succeeded, w=144\",\"Add (4,7)=53 Failed, w=144\",\"Add (1,3)=55 Failed, w=144\",\"Add (6,7)=56 Failed, w=144\",\"Add (0,2)=59 Failed, w=144\",\"Add (0,6)=60 Failed, w=144\",\"Add (2,6)=65 Failed, w=144\",\"Add (5,6)=70 Failed, w=144\",\"Add (2,7)=71 Failed, w=144\",\"Add (4,5)=80 Failed, w=144\",\"Add (1,5)=82 Failed, w=144\",\"Add (3,4)=82 Failed, w=144\",\"Add (1,4)=83 Failed, w=144\",\"Add (3,5)=85 Failed, w=144\",\"Add (0,7)=86 Failed, w=144\",\"Add (2,3)=94 Failed, w=144\",\"Add (0,5)=96 Failed, w=144\",\"Add (3,6)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,59],[0,4,0],[0,5,96],[0,6,60],[0,7,86],[1,2,18],[1,3,55],[1,4,83],[1,5,82],[1,6,17],[2,3,94],[2,4,5],[2,5,25],[2,6,65],[2,7,71],[3,4,82],[3,5,85],[3,6,99],[3,7,42],[4,5,80],[4,7,53],[5,6,70],[5,7,37],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,4)=5,(1,6)=17,(1,2)=18,(0,1)=19,(2,5)=25,(5,7)=37,(3,7)=42,(4,7)=53,(1,3)=55,(6,7)=56,(0,2)=59,(0,6)=60,(2,6)=65,(5,6)=70,(2,7)=71,(4,5)=80,(1,5)=82,(3,4)=82,(1,4)=83,(3,5)=85,(0,7)=86,(2,3)=94,(0,5)=96,(3,6)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=0, Add (2,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=22\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=40\",\"Find(0)=1, Find(1)=1, Add (0,1)=19 Failed, w=40\",\"Find(2)=1, Find(5)=5, Add (2,5)=25 Succeeded, w=65\",\"Find(5)=1, Find(7)=7, Add (5,7)=37 Succeeded, w=102\",\"Find(3)=3, Find(7)=1, Add (3,7)=42 Succeeded, w=144\",\"Find(4)=1, Find(7)=1, Add (4,7)=53 Failed, w=144\",\"Find(1)=1, Find(3)=1, Add (1,3)=55 Failed, w=144\",\"Find(6)=1, Find(7)=1, Add (6,7)=56 Failed, w=144\",\"Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=144\",\"Find(0)=1, Find(6)=1, Add (0,6)=60 Failed, w=144\",\"Find(2)=1, Find(6)=1, Add (2,6)=65 Failed, w=144\",\"Find(5)=1, Find(6)=1, Add (5,6)=70 Failed, w=144\",\"Find(2)=1, Find(7)=1, Add (2,7)=71 Failed, w=144\",\"Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=144\",\"Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=144\",\"Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=144\",\"Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=144\",\"Find(3)=1, Find(5)=1, Add (3,5)=85 Failed, w=144\",\"Find(0)=1, Find(7)=1, Add (0,7)=86 Failed, w=144\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=144\",\"Find(0)=1, Find(5)=1, Add (0,5)=96 Failed, w=144\",\"Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,59],[0,4,0],[0,5,96],[0,6,60],[0,7,86],[1,2,18],[1,3,55],[1,4,83],[1,5,82],[1,6,17],[2,3,94],[2,4,5],[2,5,25],[2,6,65],[2,7,71],[3,4,82],[3,5,85],[3,6,99],[3,7,42],[4,5,80],[4,7,53],[5,6,70],[5,7,37],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,4)=5,(1,6)=17,(1,2)=18,(0,1)=19,(2,5)=25,(5,7)=37,(3,7)=42,(4,7)=53,(1,3)=55,(6,7)=56,(0,2)=59,(0,6)=60,(2,6)=65,(5,6)=70,(2,7)=71,(4,5)=80,(1,5)=82,(3,4)=82,(1,4)=83,(3,5)=85,(0,7)=86,(2,3)=94,(0,5)=96,(3,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(0)=1, Find(1)=1, Add (0,1)=19 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(5)=5, Add (2,5)=25 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=37 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=42 Succeeded, w=144\",\"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)=53 Failed, w=144\",\"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)=55 Failed, w=144\",\"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)=56 Failed, w=144\",\"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)=59 Failed, w=144\",\"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)=60 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=65 Failed, w=144\",\"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)=70 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=71 Failed, w=144\",\"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)=80 Failed, w=144\",\"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)=82 Failed, w=144\",\"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)=82 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=83 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=85 Failed, w=144\",\"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)=86 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=144\",\"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)=96 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,54],[0,2,92],[0,3,70],[0,4,93],[0,5,23],[0,6,96],[1,2,68],[1,3,10],[1,5,30],[1,6,0],[2,3,31],[3,4,18],[4,5,70],[5,6,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,92],[0,3,70],[0,4,93],[0,5,23],[0,6,96],[1,2,68],[1,3,10],[1,5,30],[1,6,0],[2,3,31],[3,4,18],[4,5,70],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,92],[0,3,70],[0,4,93],[0,5,23],[0,6,96],[1,2,68],[1,3,10],[1,5,30],[1,6,0],[2,3,31],[3,4,18],[4,5,70],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,92],[0,3,70],[0,4,93],[0,5,23],[0,6,96],[1,2,68],[1,3,10],[1,5,30],[1,6,0],[2,3,31],[3,4,18],[4,5,70],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0, w=0\",\"Add (1,3)=10, w=10\",\"Add (3,4)=18, w=28\",\"Add (0,5)=23, w=51\",\"Add (1,5)=30, w=81\",\"Add (2,3)=31, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,92],[0,3,70],[0,4,93],[0,5,23],[0,6,96],[1,2,68],[1,3,10],[1,5,30],[1,6,0],[2,3,31],[3,4,18],[4,5,70],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0 Succeeded, w=0\",\"Add (1,3)=10 Succeeded, w=10\",\"Add (3,4)=18 Succeeded, w=28\",\"Add (0,5)=23 Succeeded, w=51\",\"Add (1,5)=30 Succeeded, w=81\",\"Add (2,3)=31 Succeeded, w=112\",\"Add (0,1)=54 Failed, w=112\",\"Add (1,2)=68 Failed, w=112\",\"Add (0,3)=70 Failed, w=112\",\"Add (4,5)=70 Failed, w=112\",\"Add (5,6)=74 Failed, w=112\",\"Add (0,2)=92 Failed, w=112\",\"Add (0,4)=93 Failed, w=112\",\"Add (0,6)=96 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,92],[0,3,70],[0,4,93],[0,5,23],[0,6,96],[1,2,68],[1,3,10],[1,5,30],[1,6,0],[2,3,31],[3,4,18],[4,5,70],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(1,3)=10,(3,4)=18,(0,5)=23,(1,5)=30,(2,3)=31,(0,1)=54,(1,2)=68,(0,3)=70,(4,5)=70,(5,6)=74,(0,2)=92,(0,4)=93,(0,6)=96]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(3)=1, Find(4)=4, Add (3,4)=18 Succeeded, w=28\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=51\",\"Find(1)=1, Find(5)=0, Add (1,5)=30 Succeeded, w=81\",\"Find(2)=2, Find(3)=1, Add (2,3)=31 Succeeded, w=112\",\"Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=112\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=112\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=112\",\"Find(4)=1, Find(5)=1, Add (4,5)=70 Failed, w=112\",\"Find(5)=1, Find(6)=1, Add (5,6)=74 Failed, w=112\",\"Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=112\",\"Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=112\",\"Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,92],[0,3,70],[0,4,93],[0,5,23],[0,6,96],[1,2,68],[1,3,10],[1,5,30],[1,6,0],[2,3,31],[3,4,18],[4,5,70],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(1,3)=10,(3,4)=18,(0,5)=23,(1,5)=30,(2,3)=31,(0,1)=54,(1,2)=68,(0,3)=70,(4,5)=70,(5,6)=74,(0,2)=92,(0,4)=93,(0,6)=96]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=18 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(5)=0, Add (1,5)=30 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=2, Find(3)=1, Add (2,3)=31 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=70 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=74 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=92 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,6],[0,2,94],[0,3,75],[0,4,17],[0,5,58],[0,6,11],[1,2,32],[1,3,19],[1,4,66],[1,5,44],[1,6,32],[2,3,12],[2,4,76],[2,6,10],[3,4,22],[3,5,26],[3,6,52],[4,5,40],[4,6,88],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,94],[0,3,75],[0,4,17],[0,5,58],[0,6,11],[1,2,32],[1,3,19],[1,4,66],[1,5,44],[1,6,32],[2,3,12],[2,4,76],[2,6,10],[3,4,22],[3,5,26],[3,6,52],[4,5,40],[4,6,88],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,94],[0,3,75],[0,4,17],[0,5,58],[0,6,11],[1,2,32],[1,3,19],[1,4,66],[1,5,44],[1,6,32],[2,3,12],[2,4,76],[2,6,10],[3,4,22],[3,5,26],[3,6,52],[4,5,40],[4,6,88],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,94],[0,3,75],[0,4,17],[0,5,58],[0,6,11],[1,2,32],[1,3,19],[1,4,66],[1,5,44],[1,6,32],[2,3,12],[2,4,76],[2,6,10],[3,4,22],[3,5,26],[3,6,52],[4,5,40],[4,6,88],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (2,6)=10, w=16\",\"Add (0,6)=11, w=27\",\"Add (2,3)=12, w=39\",\"Add (0,4)=17, w=56\",\"Add (3,5)=26, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,94],[0,3,75],[0,4,17],[0,5,58],[0,6,11],[1,2,32],[1,3,19],[1,4,66],[1,5,44],[1,6,32],[2,3,12],[2,4,76],[2,6,10],[3,4,22],[3,5,26],[3,6,52],[4,5,40],[4,6,88],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (2,6)=10 Succeeded, w=16\",\"Add (0,6)=11 Succeeded, w=27\",\"Add (2,3)=12 Succeeded, w=39\",\"Add (0,4)=17 Succeeded, w=56\",\"Add (1,3)=19 Failed, w=56\",\"Add (3,4)=22 Failed, w=56\",\"Add (3,5)=26 Succeeded, w=82\",\"Add (1,2)=32 Failed, w=82\",\"Add (1,6)=32 Failed, w=82\",\"Add (4,5)=40 Failed, w=82\",\"Add (5,6)=41 Failed, w=82\",\"Add (1,5)=44 Failed, w=82\",\"Add (3,6)=52 Failed, w=82\",\"Add (0,5)=58 Failed, w=82\",\"Add (1,4)=66 Failed, w=82\",\"Add (0,3)=75 Failed, w=82\",\"Add (2,4)=76 Failed, w=82\",\"Add (4,6)=88 Failed, w=82\",\"Add (0,2)=94 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,94],[0,3,75],[0,4,17],[0,5,58],[0,6,11],[1,2,32],[1,3,19],[1,4,66],[1,5,44],[1,6,32],[2,3,12],[2,4,76],[2,6,10],[3,4,22],[3,5,26],[3,6,52],[4,5,40],[4,6,88],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(2,6)=10,(0,6)=11,(2,3)=12,(0,4)=17,(1,3)=19,(3,4)=22,(3,5)=26,(1,2)=32,(1,6)=32,(4,5)=40,(5,6)=41,(1,5)=44,(3,6)=52,(0,5)=58,(1,4)=66,(0,3)=75,(2,4)=76,(4,6)=88,(0,2)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=16\",\"Find(0)=0, Find(6)=2, Add (0,6)=11 Succeeded, w=27\",\"Find(2)=0, Find(3)=3, Add (2,3)=12 Succeeded, w=39\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=56\",\"Find(1)=0, Find(3)=0, Add (1,3)=19 Failed, w=56\",\"Find(3)=0, Find(4)=0, Add (3,4)=22 Failed, w=56\",\"Find(3)=0, Find(5)=5, Add (3,5)=26 Succeeded, w=82\",\"Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=82\",\"Find(1)=0, Find(6)=0, Add (1,6)=32 Failed, w=82\",\"Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=82\",\"Find(5)=0, Find(6)=0, Add (5,6)=41 Failed, w=82\",\"Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=82\",\"Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=82\",\"Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=82\",\"Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=82\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=82\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=82\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=82\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,94],[0,3,75],[0,4,17],[0,5,58],[0,6,11],[1,2,32],[1,3,19],[1,4,66],[1,5,44],[1,6,32],[2,3,12],[2,4,76],[2,6,10],[3,4,22],[3,5,26],[3,6,52],[4,5,40],[4,6,88],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(2,6)=10,(0,6)=11,(2,3)=12,(0,4)=17,(1,3)=19,(3,4)=22,(3,5)=26,(1,2)=32,(1,6)=32,(4,5)=40,(5,6)=41,(1,5)=44,(3,6)=52,(0,5)=58,(1,4)=66,(0,3)=75,(2,4)=76,(4,6)=88,(0,2)=94]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=11 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 2}, Find(2)=0, Find(3)=3, Add (2,3)=12 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2}, Find(1)=0, Find(3)=0, Add (1,3)=19 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2}, Find(3)=0, Find(4)=0, Add (3,4)=22 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(3)=0, Find(5)=5, Add (3,5)=26 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=32 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=41 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=82\",\"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=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,2,100],[0,5,37],[0,6,100],[1,2,88],[1,3,65],[1,4,60],[1,6,12],[1,7,68],[2,3,44],[2,5,82],[2,6,39],[2,7,93],[3,7,86],[4,5,87],[4,6,32],[4,7,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,100],[0,5,37],[0,6,100],[1,2,88],[1,3,65],[1,4,60],[1,6,12],[1,7,68],[2,3,44],[2,5,82],[2,6,39],[2,7,93],[3,7,86],[4,5,87],[4,6,32],[4,7,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,100],[0,5,37],[0,6,100],[1,2,88],[1,3,65],[1,4,60],[1,6,12],[1,7,68],[2,3,44],[2,5,82],[2,6,39],[2,7,93],[3,7,86],[4,5,87],[4,6,32],[4,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (0,1)\"],\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,100],[0,5,37],[0,6,100],[1,2,88],[1,3,65],[1,4,60],[1,6,12],[1,7,68],[2,3,44],[2,5,82],[2,6,39],[2,7,93],[3,7,86],[4,5,87],[4,6,32],[4,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=12, w=12\",\"Add (4,6)=32, w=44\",\"Add (0,5)=37, w=81\",\"Add (2,6)=39, w=120\",\"Add (2,3)=44, w=164\",\"Add (4,7)=64, w=228\",\"Add (0,1)=67, w=295\"],\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,100],[0,5,37],[0,6,100],[1,2,88],[1,3,65],[1,4,60],[1,6,12],[1,7,68],[2,3,44],[2,5,82],[2,6,39],[2,7,93],[3,7,86],[4,5,87],[4,6,32],[4,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=12 Succeeded, w=12\",\"Add (4,6)=32 Succeeded, w=44\",\"Add (0,5)=37 Succeeded, w=81\",\"Add (2,6)=39 Succeeded, w=120\",\"Add (2,3)=44 Succeeded, w=164\",\"Add (1,4)=60 Failed, w=164\",\"Add (4,7)=64 Succeeded, w=228\",\"Add (1,3)=65 Failed, w=228\",\"Add (0,1)=67 Succeeded, w=295\",\"Add (1,7)=68 Failed, w=295\",\"Add (2,5)=82 Failed, w=295\",\"Add (3,7)=86 Failed, w=295\",\"Add (4,5)=87 Failed, w=295\",\"Add (1,2)=88 Failed, w=295\",\"Add (2,7)=93 Failed, w=295\",\"Add (0,2)=100 Failed, w=295\",\"Add (0,6)=100 Failed, w=295\"],\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,100],[0,5,37],[0,6,100],[1,2,88],[1,3,65],[1,4,60],[1,6,12],[1,7,68],[2,3,44],[2,5,82],[2,6,39],[2,7,93],[3,7,86],[4,5,87],[4,6,32],[4,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=12,(4,6)=32,(0,5)=37,(2,6)=39,(2,3)=44,(1,4)=60,(4,7)=64,(1,3)=65,(0,1)=67,(1,7)=68,(2,5)=82,(3,7)=86,(4,5)=87,(1,2)=88,(2,7)=93,(0,2)=100,(0,6)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=12\",\"Find(4)=4, Find(6)=1, Add (4,6)=32 Succeeded, w=44\",\"Find(0)=0, Find(5)=5, Add (0,5)=37 Succeeded, w=81\",\"Find(2)=2, Find(6)=1, Add (2,6)=39 Succeeded, w=120\",\"Find(2)=1, Find(3)=3, Add (2,3)=44 Succeeded, w=164\",\"Find(1)=1, Find(4)=1, Add (1,4)=60 Failed, w=164\",\"Find(4)=1, Find(7)=7, Add (4,7)=64 Succeeded, w=228\",\"Find(1)=1, Find(3)=1, Add (1,3)=65 Failed, w=228\",\"Find(0)=0, Find(1)=1, Add (0,1)=67 Succeeded, w=295\",\"Find(1)=0, Find(7)=0, Add (1,7)=68 Failed, w=295\",\"Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=295\",\"Find(3)=0, Find(7)=0, Add (3,7)=86 Failed, w=295\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=295\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=295\",\"Find(2)=0, Find(7)=0, Add (2,7)=93 Failed, w=295\",\"Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=295\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=295\"],\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,100],[0,5,37],[0,6,100],[1,2,88],[1,3,65],[1,4,60],[1,6,12],[1,7,68],[2,3,44],[2,5,82],[2,6,39],[2,7,93],[3,7,86],[4,5,87],[4,6,32],[4,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=12,(4,6)=32,(0,5)=37,(2,6)=39,(2,3)=44,(1,4)=60,(4,7)=64,(1,3)=65,(0,1)=67,(1,7)=68,(2,5)=82,(3,7)=86,(4,5)=87,(1,2)=88,(2,7)=93,(0,2)=100,(0,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=4, Find(6)=1, Add (4,6)=32 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=37 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1, 7: 7}, Find(2)=2, Find(6)=1, Add (2,6)=39 Succeeded, w=120\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 7}, Find(2)=1, Find(3)=3, Add (2,3)=44 Succeeded, w=164\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 7}, Find(1)=1, Find(4)=1, Add (1,4)=60 Failed, w=164\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=64 Succeeded, w=228\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=65 Failed, w=228\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=67 Succeeded, w=295\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=68 Failed, w=295\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=295\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 1, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=86 Failed, w=295\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=295\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=295\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=93 Failed, w=295\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=295\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=100 Failed, w=295\"],\"Answer\":295}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,88],[0,2,24],[0,4,17],[1,3,28],[1,4,83],[2,3,43],[2,4,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,24],[0,4,17],[1,3,28],[1,4,83],[2,3,43],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,24],[0,4,17],[1,3,28],[1,4,83],[2,3,43],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,24],[0,4,17],[1,3,28],[1,4,83],[2,3,43],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7, w=7\",\"Add (0,4)=17, w=24\",\"Add (1,3)=28, w=52\",\"Add (2,3)=43, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,24],[0,4,17],[1,3,28],[1,4,83],[2,3,43],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7 Succeeded, w=7\",\"Add (0,4)=17 Succeeded, w=24\",\"Add (0,2)=24 Failed, w=24\",\"Add (1,3)=28 Succeeded, w=52\",\"Add (2,3)=43 Succeeded, w=95\",\"Add (1,4)=83 Failed, w=95\",\"Add (0,1)=88 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,24],[0,4,17],[1,3,28],[1,4,83],[2,3,43],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(0,4)=17,(0,2)=24,(1,3)=28,(2,3)=43,(1,4)=83,(0,1)=88]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(4)=2, Add (0,4)=17 Succeeded, w=24\",\"Find(0)=2, Find(2)=2, Add (0,2)=24 Failed, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=52\",\"Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=95\",\"Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=95\",\"Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,24],[0,4,17],[1,3,28],[1,4,83],[2,3,43],[2,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(0,4)=17,(0,2)=24,(1,3)=28,(2,3)=43,(1,4)=83,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=17 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=24 Failed, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,3,58],[0,4,13],[0,5,80],[0,6,34],[1,2,46],[1,3,89],[1,4,70],[1,5,73],[2,3,12],[2,6,4],[3,4,83],[3,5,89],[4,5,63],[4,6,29],[5,6,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,58],[0,4,13],[0,5,80],[0,6,34],[1,2,46],[1,3,89],[1,4,70],[1,5,73],[2,3,12],[2,6,4],[3,4,83],[3,5,89],[4,5,63],[4,6,29],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,58],[0,4,13],[0,5,80],[0,6,34],[1,2,46],[1,3,89],[1,4,70],[1,5,73],[2,3,12],[2,6,4],[3,4,83],[3,5,89],[4,5,63],[4,6,29],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (5,6)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,58],[0,4,13],[0,5,80],[0,6,34],[1,2,46],[1,3,89],[1,4,70],[1,5,73],[2,3,12],[2,6,4],[3,4,83],[3,5,89],[4,5,63],[4,6,29],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4, w=4\",\"Add (2,3)=12, w=16\",\"Add (0,4)=13, w=29\",\"Add (0,1)=27, w=56\",\"Add (4,6)=29, w=85\",\"Add (5,6)=42, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,58],[0,4,13],[0,5,80],[0,6,34],[1,2,46],[1,3,89],[1,4,70],[1,5,73],[2,3,12],[2,6,4],[3,4,83],[3,5,89],[4,5,63],[4,6,29],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4 Succeeded, w=4\",\"Add (2,3)=12 Succeeded, w=16\",\"Add (0,4)=13 Succeeded, w=29\",\"Add (0,1)=27 Succeeded, w=56\",\"Add (4,6)=29 Succeeded, w=85\",\"Add (0,6)=34 Failed, w=85\",\"Add (5,6)=42 Succeeded, w=127\",\"Add (1,2)=46 Failed, w=127\",\"Add (0,3)=58 Failed, w=127\",\"Add (4,5)=63 Failed, w=127\",\"Add (1,4)=70 Failed, w=127\",\"Add (1,5)=73 Failed, w=127\",\"Add (0,5)=80 Failed, w=127\",\"Add (3,4)=83 Failed, w=127\",\"Add (1,3)=89 Failed, w=127\",\"Add (3,5)=89 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,58],[0,4,13],[0,5,80],[0,6,34],[1,2,46],[1,3,89],[1,4,70],[1,5,73],[2,3,12],[2,6,4],[3,4,83],[3,5,89],[4,5,63],[4,6,29],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(2,3)=12,(0,4)=13,(0,1)=27,(4,6)=29,(0,6)=34,(5,6)=42,(1,2)=46,(0,3)=58,(4,5)=63,(1,4)=70,(1,5)=73,(0,5)=80,(3,4)=83,(1,3)=89,(3,5)=89]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=16\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=56\",\"Find(4)=0, Find(6)=2, Add (4,6)=29 Succeeded, w=85\",\"Find(0)=0, Find(6)=0, Add (0,6)=34 Failed, w=85\",\"Find(5)=5, Find(6)=0, Add (5,6)=42 Succeeded, w=127\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=127\",\"Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=127\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=127\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=127\",\"Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=127\",\"Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=127\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=127\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=127\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,58],[0,4,13],[0,5,80],[0,6,34],[1,2,46],[1,3,89],[1,4,70],[1,5,73],[2,3,12],[2,6,4],[3,4,83],[3,5,89],[4,5,63],[4,6,29],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(2,3)=12,(0,4)=13,(0,1)=27,(4,6)=29,(0,6)=34,(5,6)=42,(1,2)=46,(0,3)=58,(4,5)=63,(1,4)=70,(1,5)=73,(0,5)=80,(3,4)=83,(1,3)=89,(3,5)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5, 6: 2}, Find(4)=0, Find(6)=2, Add (4,6)=29 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=34 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=42 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,86],[0,2,69],[0,5,75],[1,4,34],[2,3,40],[2,4,80],[2,5,98],[3,5,3],[4,5,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,69],[0,5,75],[1,4,34],[2,3,40],[2,4,80],[2,5,98],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,69],[0,5,75],[1,4,34],[2,3,40],[2,4,80],[2,5,98],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,69],[0,5,75],[1,4,34],[2,3,40],[2,4,80],[2,5,98],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (1,4)=34, w=37\",\"Add (2,3)=40, w=77\",\"Add (0,2)=69, w=146\",\"Add (2,4)=80, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,69],[0,5,75],[1,4,34],[2,3,40],[2,4,80],[2,5,98],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (1,4)=34 Succeeded, w=37\",\"Add (2,3)=40 Succeeded, w=77\",\"Add (0,2)=69 Succeeded, w=146\",\"Add (0,5)=75 Failed, w=146\",\"Add (2,4)=80 Succeeded, w=226\",\"Add (4,5)=82 Failed, w=226\",\"Add (0,1)=86 Failed, w=226\",\"Add (2,5)=98 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,69],[0,5,75],[1,4,34],[2,3,40],[2,4,80],[2,5,98],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(1,4)=34,(2,3)=40,(0,2)=69,(0,5)=75,(2,4)=80,(4,5)=82,(0,1)=86,(2,5)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=34 Succeeded, w=37\",\"Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=77\",\"Find(0)=0, Find(2)=3, Add (0,2)=69 Succeeded, w=146\",\"Find(0)=3, Find(5)=3, Add (0,5)=75 Failed, w=146\",\"Find(2)=3, Find(4)=1, Add (2,4)=80 Succeeded, w=226\",\"Find(4)=3, Find(5)=3, Add (4,5)=82 Failed, w=226\",\"Find(0)=3, Find(1)=3, Add (0,1)=86 Failed, w=226\",\"Find(2)=3, Find(5)=3, Add (2,5)=98 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,69],[0,5,75],[1,4,34],[2,3,40],[2,4,80],[2,5,98],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(1,4)=34,(2,3)=40,(0,2)=69,(0,5)=75,(2,4)=80,(4,5)=82,(0,1)=86,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=34 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=77\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=0, Find(2)=3, Add (0,2)=69 Succeeded, w=146\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=75 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3}, Find(2)=3, Find(4)=1, Add (2,4)=80 Succeeded, w=226\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=82 Failed, w=226\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=86 Failed, w=226\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=98 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,86],[1,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,86],[1,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,86],[1,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,86],[1,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=86, w=86\",\"Add (1,4)=99, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,86],[1,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=86 Succeeded, w=86\",\"Add (1,4)=99 Succeeded, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,86],[1,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=86,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=86 Succeeded, w=86\",\"Find(1)=1, Find(4)=4, Add (1,4)=99 Succeeded, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,86],[1,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=86,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=86 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=99 Succeeded, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,24],[0,3,47],[0,4,52],[0,6,46],[0,7,31],[1,2,78],[1,3,93],[1,4,48],[1,5,83],[1,6,26],[2,3,73],[2,4,36],[2,5,20],[2,6,47],[2,7,22],[3,5,18],[3,6,73],[3,7,4],[4,5,51],[4,6,32],[5,7,82],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,47],[0,4,52],[0,6,46],[0,7,31],[1,2,78],[1,3,93],[1,4,48],[1,5,83],[1,6,26],[2,3,73],[2,4,36],[2,5,20],[2,6,47],[2,7,22],[3,5,18],[3,6,73],[3,7,4],[4,5,51],[4,6,32],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,47],[0,4,52],[0,6,46],[0,7,31],[1,2,78],[1,3,93],[1,4,48],[1,5,83],[1,6,26],[2,3,73],[2,4,36],[2,5,20],[2,6,47],[2,7,22],[3,5,18],[3,6,73],[3,7,4],[4,5,51],[4,6,32],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (4,6)\",\"Add (2,4)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,47],[0,4,52],[0,6,46],[0,7,31],[1,2,78],[1,3,93],[1,4,48],[1,5,83],[1,6,26],[2,3,73],[2,4,36],[2,5,20],[2,6,47],[2,7,22],[3,5,18],[3,6,73],[3,7,4],[4,5,51],[4,6,32],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4, w=4\",\"Add (3,5)=18, w=22\",\"Add (2,5)=20, w=42\",\"Add (0,2)=24, w=66\",\"Add (1,6)=26, w=92\",\"Add (4,6)=32, w=124\",\"Add (2,4)=36, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,47],[0,4,52],[0,6,46],[0,7,31],[1,2,78],[1,3,93],[1,4,48],[1,5,83],[1,6,26],[2,3,73],[2,4,36],[2,5,20],[2,6,47],[2,7,22],[3,5,18],[3,6,73],[3,7,4],[4,5,51],[4,6,32],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4 Succeeded, w=4\",\"Add (3,5)=18 Succeeded, w=22\",\"Add (2,5)=20 Succeeded, w=42\",\"Add (2,7)=22 Failed, w=42\",\"Add (0,2)=24 Succeeded, w=66\",\"Add (1,6)=26 Succeeded, w=92\",\"Add (0,7)=31 Failed, w=92\",\"Add (4,6)=32 Succeeded, w=124\",\"Add (2,4)=36 Succeeded, w=160\",\"Add (0,6)=46 Failed, w=160\",\"Add (0,3)=47 Failed, w=160\",\"Add (2,6)=47 Failed, w=160\",\"Add (1,4)=48 Failed, w=160\",\"Add (4,5)=51 Failed, w=160\",\"Add (0,4)=52 Failed, w=160\",\"Add (2,3)=73 Failed, w=160\",\"Add (3,6)=73 Failed, w=160\",\"Add (1,2)=78 Failed, w=160\",\"Add (5,7)=82 Failed, w=160\",\"Add (1,5)=83 Failed, w=160\",\"Add (6,7)=87 Failed, w=160\",\"Add (1,3)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,47],[0,4,52],[0,6,46],[0,7,31],[1,2,78],[1,3,93],[1,4,48],[1,5,83],[1,6,26],[2,3,73],[2,4,36],[2,5,20],[2,6,47],[2,7,22],[3,5,18],[3,6,73],[3,7,4],[4,5,51],[4,6,32],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(3,5)=18,(2,5)=20,(2,7)=22,(0,2)=24,(1,6)=26,(0,7)=31,(4,6)=32,(2,4)=36,(0,6)=46,(0,3)=47,(2,6)=47,(1,4)=48,(4,5)=51,(0,4)=52,(2,3)=73,(3,6)=73,(1,2)=78,(5,7)=82,(1,5)=83,(6,7)=87,(1,3)=93]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=22\",\"Find(2)=2, Find(5)=3, Add (2,5)=20 Succeeded, w=42\",\"Find(2)=3, Find(7)=3, Add (2,7)=22 Failed, w=42\",\"Find(0)=0, Find(2)=3, Add (0,2)=24 Succeeded, w=66\",\"Find(1)=1, Find(6)=6, Add (1,6)=26 Succeeded, w=92\",\"Find(0)=3, Find(7)=3, Add (0,7)=31 Failed, w=92\",\"Find(4)=4, Find(6)=1, Add (4,6)=32 Succeeded, w=124\",\"Find(2)=3, Find(4)=1, Add (2,4)=36 Succeeded, w=160\",\"Find(0)=3, Find(6)=3, Add (0,6)=46 Failed, w=160\",\"Find(0)=3, Find(3)=3, Add (0,3)=47 Failed, w=160\",\"Find(2)=3, Find(6)=3, Add (2,6)=47 Failed, w=160\",\"Find(1)=3, Find(4)=3, Add (1,4)=48 Failed, w=160\",\"Find(4)=3, Find(5)=3, Add (4,5)=51 Failed, w=160\",\"Find(0)=3, Find(4)=3, Add (0,4)=52 Failed, w=160\",\"Find(2)=3, Find(3)=3, Add (2,3)=73 Failed, w=160\",\"Find(3)=3, Find(6)=3, Add (3,6)=73 Failed, w=160\",\"Find(1)=3, Find(2)=3, Add (1,2)=78 Failed, w=160\",\"Find(5)=3, Find(7)=3, Add (5,7)=82 Failed, w=160\",\"Find(1)=3, Find(5)=3, Add (1,5)=83 Failed, w=160\",\"Find(6)=3, Find(7)=3, Add (6,7)=87 Failed, w=160\",\"Find(1)=3, Find(3)=3, Add (1,3)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,47],[0,4,52],[0,6,46],[0,7,31],[1,2,78],[1,3,93],[1,4,48],[1,5,83],[1,6,26],[2,3,73],[2,4,36],[2,5,20],[2,6,47],[2,7,22],[3,5,18],[3,6,73],[3,7,4],[4,5,51],[4,6,32],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(3,5)=18,(2,5)=20,(2,7)=22,(0,2)=24,(1,6)=26,(0,7)=31,(4,6)=32,(2,4)=36,(0,6)=46,(0,3)=47,(2,6)=47,(1,4)=48,(4,5)=51,(0,4)=52,(2,3)=73,(3,6)=73,(1,2)=78,(5,7)=82,(1,5)=83,(6,7)=87,(1,3)=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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(5)=5, Add (3,5)=18 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(2)=2, Find(5)=3, Add (2,5)=20 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=22 Failed, w=42\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(2)=3, Add (0,2)=24 Succeeded, w=66\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 1, 7: 3}, Find(1)=1, Find(6)=6, Add (1,6)=26 Succeeded, w=92\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 1, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=31 Failed, w=92\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3, 6: 1, 7: 3}, Find(4)=4, Find(6)=1, Add (4,6)=32 Succeeded, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(4)=1, Add (2,4)=36 Succeeded, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=46 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=47 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=47 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=48 Failed, w=160\",\"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)=51 Failed, w=160\",\"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)=52 Failed, w=160\",\"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)=73 Failed, w=160\",\"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)=73 Failed, w=160\",\"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)=78 Failed, w=160\",\"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)=82 Failed, w=160\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=83 Failed, w=160\",\"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=160\",\"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)=93 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,42],[0,5,45],[0,6,37],[1,3,67],[1,4,47],[1,5,34],[1,6,40],[2,4,12],[2,6,58],[3,5,51],[3,6,9],[4,5,48],[4,6,14],[5,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,5,45],[0,6,37],[1,3,67],[1,4,47],[1,5,34],[1,6,40],[2,4,12],[2,6,58],[3,5,51],[3,6,9],[4,5,48],[4,6,14],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,5,45],[0,6,37],[1,3,67],[1,4,47],[1,5,34],[1,6,40],[2,4,12],[2,6,58],[3,5,51],[3,6,9],[4,5,48],[4,6,14],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (1,6)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,5,45],[0,6,37],[1,3,67],[1,4,47],[1,5,34],[1,6,40],[2,4,12],[2,6,58],[3,5,51],[3,6,9],[4,5,48],[4,6,14],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=9, w=9\",\"Add (2,4)=12, w=21\",\"Add (4,6)=14, w=35\",\"Add (1,5)=34, w=69\",\"Add (0,6)=37, w=106\",\"Add (1,6)=40, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,5,45],[0,6,37],[1,3,67],[1,4,47],[1,5,34],[1,6,40],[2,4,12],[2,6,58],[3,5,51],[3,6,9],[4,5,48],[4,6,14],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=9 Succeeded, w=9\",\"Add (2,4)=12 Succeeded, w=21\",\"Add (4,6)=14 Succeeded, w=35\",\"Add (1,5)=34 Succeeded, w=69\",\"Add (0,6)=37 Succeeded, w=106\",\"Add (1,6)=40 Succeeded, w=146\",\"Add (0,1)=42 Failed, w=146\",\"Add (0,5)=45 Failed, w=146\",\"Add (1,4)=47 Failed, w=146\",\"Add (4,5)=48 Failed, w=146\",\"Add (3,5)=51 Failed, w=146\",\"Add (2,6)=58 Failed, w=146\",\"Add (5,6)=58 Failed, w=146\",\"Add (1,3)=67 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,5,45],[0,6,37],[1,3,67],[1,4,47],[1,5,34],[1,6,40],[2,4,12],[2,6,58],[3,5,51],[3,6,9],[4,5,48],[4,6,14],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=9,(2,4)=12,(4,6)=14,(1,5)=34,(0,6)=37,(1,6)=40,(0,1)=42,(0,5)=45,(1,4)=47,(4,5)=48,(3,5)=51,(2,6)=58,(5,6)=58,(1,3)=67]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=21\",\"Find(4)=2, Find(6)=3, Add (4,6)=14 Succeeded, w=35\",\"Find(1)=1, Find(5)=5, Add (1,5)=34 Succeeded, w=69\",\"Find(0)=0, Find(6)=2, Add (0,6)=37 Succeeded, w=106\",\"Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=146\",\"Find(0)=2, Find(1)=2, Add (0,1)=42 Failed, w=146\",\"Find(0)=2, Find(5)=2, Add (0,5)=45 Failed, w=146\",\"Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=146\",\"Find(4)=2, Find(5)=2, Add (4,5)=48 Failed, w=146\",\"Find(3)=2, Find(5)=2, Add (3,5)=51 Failed, w=146\",\"Find(2)=2, Find(6)=2, Add (2,6)=58 Failed, w=146\",\"Find(5)=2, Find(6)=2, Add (5,6)=58 Failed, w=146\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,42],[0,5,45],[0,6,37],[1,3,67],[1,4,47],[1,5,34],[1,6,40],[2,4,12],[2,6,58],[3,5,51],[3,6,9],[4,5,48],[4,6,14],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=9,(2,4)=12,(4,6)=14,(1,5)=34,(0,6)=37,(1,6)=40,(0,1)=42,(0,5)=45,(1,4)=47,(4,5)=48,(3,5)=51,(2,6)=58,(5,6)=58,(1,3)=67]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3}, Find(4)=2, Find(6)=3, Add (4,6)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 3}, Find(1)=1, Find(5)=5, Add (1,5)=34 Succeeded, w=69\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=37 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=42 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=45 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=48 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=51 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=58 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=58 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,15],[0,3,87],[0,4,89],[0,5,41],[0,6,25],[1,2,19],[1,3,33],[1,4,49],[1,5,60],[1,6,89],[2,3,4],[2,4,82],[2,5,41],[2,6,27],[3,5,33],[3,6,99],[4,5,47],[4,6,93],[5,6,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,87],[0,4,89],[0,5,41],[0,6,25],[1,2,19],[1,3,33],[1,4,49],[1,5,60],[1,6,89],[2,3,4],[2,4,82],[2,5,41],[2,6,27],[3,5,33],[3,6,99],[4,5,47],[4,6,93],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,87],[0,4,89],[0,5,41],[0,6,25],[1,2,19],[1,3,33],[1,4,49],[1,5,60],[1,6,89],[2,3,4],[2,4,82],[2,5,41],[2,6,27],[3,5,33],[3,6,99],[4,5,47],[4,6,93],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,87],[0,4,89],[0,5,41],[0,6,25],[1,2,19],[1,3,33],[1,4,49],[1,5,60],[1,6,89],[2,3,4],[2,4,82],[2,5,41],[2,6,27],[3,5,33],[3,6,99],[4,5,47],[4,6,93],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,2)=15, w=19\",\"Add (1,2)=19, w=38\",\"Add (0,6)=25, w=63\",\"Add (3,5)=33, w=96\",\"Add (4,5)=47, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,87],[0,4,89],[0,5,41],[0,6,25],[1,2,19],[1,3,33],[1,4,49],[1,5,60],[1,6,89],[2,3,4],[2,4,82],[2,5,41],[2,6,27],[3,5,33],[3,6,99],[4,5,47],[4,6,93],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,2)=15 Succeeded, w=19\",\"Add (1,2)=19 Succeeded, w=38\",\"Add (0,6)=25 Succeeded, w=63\",\"Add (2,6)=27 Failed, w=63\",\"Add (1,3)=33 Failed, w=63\",\"Add (3,5)=33 Succeeded, w=96\",\"Add (0,5)=41 Failed, w=96\",\"Add (2,5)=41 Failed, w=96\",\"Add (4,5)=47 Succeeded, w=143\",\"Add (1,4)=49 Failed, w=143\",\"Add (5,6)=54 Failed, w=143\",\"Add (1,5)=60 Failed, w=143\",\"Add (2,4)=82 Failed, w=143\",\"Add (0,3)=87 Failed, w=143\",\"Add (0,4)=89 Failed, w=143\",\"Add (1,6)=89 Failed, w=143\",\"Add (4,6)=93 Failed, w=143\",\"Add (3,6)=99 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,87],[0,4,89],[0,5,41],[0,6,25],[1,2,19],[1,3,33],[1,4,49],[1,5,60],[1,6,89],[2,3,4],[2,4,82],[2,5,41],[2,6,27],[3,5,33],[3,6,99],[4,5,47],[4,6,93],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,2)=15,(1,2)=19,(0,6)=25,(2,6)=27,(1,3)=33,(3,5)=33,(0,5)=41,(2,5)=41,(4,5)=47,(1,4)=49,(5,6)=54,(1,5)=60,(2,4)=82,(0,3)=87,(0,4)=89,(1,6)=89,(4,6)=93,(3,6)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=19\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=38\",\"Find(0)=2, Find(6)=6, Add (0,6)=25 Succeeded, w=63\",\"Find(2)=2, Find(6)=2, Add (2,6)=27 Failed, w=63\",\"Find(1)=2, Find(3)=2, Add (1,3)=33 Failed, w=63\",\"Find(3)=2, Find(5)=5, Add (3,5)=33 Succeeded, w=96\",\"Find(0)=2, Find(5)=2, Add (0,5)=41 Failed, w=96\",\"Find(2)=2, Find(5)=2, Add (2,5)=41 Failed, w=96\",\"Find(4)=4, Find(5)=2, Add (4,5)=47 Succeeded, w=143\",\"Find(1)=2, Find(4)=2, Add (1,4)=49 Failed, w=143\",\"Find(5)=2, Find(6)=2, Add (5,6)=54 Failed, w=143\",\"Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=143\",\"Find(2)=2, Find(4)=2, Add (2,4)=82 Failed, w=143\",\"Find(0)=2, Find(3)=2, Add (0,3)=87 Failed, w=143\",\"Find(0)=2, Find(4)=2, Add (0,4)=89 Failed, w=143\",\"Find(1)=2, Find(6)=2, Add (1,6)=89 Failed, w=143\",\"Find(4)=2, Find(6)=2, Add (4,6)=93 Failed, w=143\",\"Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,15],[0,3,87],[0,4,89],[0,5,41],[0,6,25],[1,2,19],[1,3,33],[1,4,49],[1,5,60],[1,6,89],[2,3,4],[2,4,82],[2,5,41],[2,6,27],[3,5,33],[3,6,99],[4,5,47],[4,6,93],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,2)=15,(1,2)=19,(0,6)=25,(2,6)=27,(1,3)=33,(3,5)=33,(0,5)=41,(2,5)=41,(4,5)=47,(1,4)=49,(5,6)=54,(1,5)=60,(2,4)=82,(0,3)=87,(0,4)=89,(1,6)=89,(4,6)=93,(3,6)=99]\",\"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: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=19\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(0)=2, Find(6)=6, Add (0,6)=25 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=27 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=33 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=33 Succeeded, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=41 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=41 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=4, Find(5)=2, Add (4,5)=47 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=49 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=54 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=82 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=87 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=89 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=89 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=93 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,13],[0,3,92],[0,4,1],[0,5,61],[0,6,11],[0,7,61],[1,2,25],[1,3,40],[1,5,57],[1,6,80],[1,7,52],[2,3,79],[2,4,90],[2,5,65],[2,6,59],[2,7,87],[3,5,51],[3,6,0],[3,7,67],[4,5,6],[4,6,45],[5,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,92],[0,4,1],[0,5,61],[0,6,11],[0,7,61],[1,2,25],[1,3,40],[1,5,57],[1,6,80],[1,7,52],[2,3,79],[2,4,90],[2,5,65],[2,6,59],[2,7,87],[3,5,51],[3,6,0],[3,7,67],[4,5,6],[4,6,45],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,92],[0,4,1],[0,5,61],[0,6,11],[0,7,61],[1,2,25],[1,3,40],[1,5,57],[1,6,80],[1,7,52],[2,3,79],[2,4,90],[2,5,65],[2,6,59],[2,7,87],[3,5,51],[3,6,0],[3,7,67],[4,5,6],[4,6,45],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (5,7)\",\"Add (1,2)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,92],[0,4,1],[0,5,61],[0,6,11],[0,7,61],[1,2,25],[1,3,40],[1,5,57],[1,6,80],[1,7,52],[2,3,79],[2,4,90],[2,5,65],[2,6,59],[2,7,87],[3,5,51],[3,6,0],[3,7,67],[4,5,6],[4,6,45],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (0,4)=1, w=1\",\"Add (4,5)=6, w=7\",\"Add (0,6)=11, w=18\",\"Add (0,1)=13, w=31\",\"Add (5,7)=22, w=53\",\"Add (1,2)=25, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,92],[0,4,1],[0,5,61],[0,6,11],[0,7,61],[1,2,25],[1,3,40],[1,5,57],[1,6,80],[1,7,52],[2,3,79],[2,4,90],[2,5,65],[2,6,59],[2,7,87],[3,5,51],[3,6,0],[3,7,67],[4,5,6],[4,6,45],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (0,4)=1 Succeeded, w=1\",\"Add (4,5)=6 Succeeded, w=7\",\"Add (0,6)=11 Succeeded, w=18\",\"Add (0,1)=13 Succeeded, w=31\",\"Add (5,7)=22 Succeeded, w=53\",\"Add (1,2)=25 Succeeded, w=78\",\"Add (1,3)=40 Failed, w=78\",\"Add (4,6)=45 Failed, w=78\",\"Add (3,5)=51 Failed, w=78\",\"Add (1,7)=52 Failed, w=78\",\"Add (1,5)=57 Failed, w=78\",\"Add (2,6)=59 Failed, w=78\",\"Add (0,5)=61 Failed, w=78\",\"Add (0,7)=61 Failed, w=78\",\"Add (2,5)=65 Failed, w=78\",\"Add (3,7)=67 Failed, w=78\",\"Add (2,3)=79 Failed, w=78\",\"Add (1,6)=80 Failed, w=78\",\"Add (2,7)=87 Failed, w=78\",\"Add (2,4)=90 Failed, w=78\",\"Add (0,3)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,92],[0,4,1],[0,5,61],[0,6,11],[0,7,61],[1,2,25],[1,3,40],[1,5,57],[1,6,80],[1,7,52],[2,3,79],[2,4,90],[2,5,65],[2,6,59],[2,7,87],[3,5,51],[3,6,0],[3,7,67],[4,5,6],[4,6,45],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,4)=1,(4,5)=6,(0,6)=11,(0,1)=13,(5,7)=22,(1,2)=25,(1,3)=40,(4,6)=45,(3,5)=51,(1,7)=52,(1,5)=57,(2,6)=59,(0,5)=61,(0,7)=61,(2,5)=65,(3,7)=67,(2,3)=79,(1,6)=80,(2,7)=87,(2,4)=90,(0,3)=92]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(4)=0, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Find(0)=0, Find(6)=3, Add (0,6)=11 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=31\",\"Find(5)=0, Find(7)=7, Add (5,7)=22 Succeeded, w=53\",\"Find(1)=0, Find(2)=2, Add (1,2)=25 Succeeded, w=78\",\"Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=78\",\"Find(4)=0, Find(6)=0, Add (4,6)=45 Failed, w=78\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=78\",\"Find(1)=0, Find(7)=0, Add (1,7)=52 Failed, w=78\",\"Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=78\",\"Find(2)=0, Find(6)=0, Add (2,6)=59 Failed, w=78\",\"Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=78\",\"Find(0)=0, Find(7)=0, Add (0,7)=61 Failed, w=78\",\"Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=78\",\"Find(3)=0, Find(7)=0, Add (3,7)=67 Failed, w=78\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=78\",\"Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=78\",\"Find(2)=0, Find(7)=0, Add (2,7)=87 Failed, w=78\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=78\",\"Find(0)=0, Find(3)=0, Add (0,3)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,13],[0,3,92],[0,4,1],[0,5,61],[0,6,11],[0,7,61],[1,2,25],[1,3,40],[1,5,57],[1,6,80],[1,7,52],[2,3,79],[2,4,90],[2,5,65],[2,6,59],[2,7,87],[3,5,51],[3,6,0],[3,7,67],[4,5,6],[4,6,45],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,4)=1,(4,5)=6,(0,6)=11,(0,1)=13,(5,7)=22,(1,2)=25,(1,3)=40,(4,6)=45,(3,5)=51,(1,7)=52,(1,5)=57,(2,6)=59,(0,5)=61,(0,7)=61,(2,5)=65,(3,7)=67,(2,3)=79,(1,6)=80,(2,7)=87,(2,4)=90,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 3, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 3, 7: 7}, Find(0)=0, Find(6)=3, Add (0,6)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 3, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=22 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=25 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=78\",\"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)=45 Failed, w=78\",\"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)=51 Failed, w=78\",\"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)=52 Failed, w=78\",\"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)=57 Failed, w=78\",\"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)=59 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=78\",\"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)=61 Failed, w=78\",\"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)=65 Failed, w=78\",\"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)=67 Failed, w=78\",\"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)=79 Failed, w=78\",\"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)=80 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=87 Failed, w=78\",\"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)=90 Failed, w=78\",\"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)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,67],[0,3,31],[1,2,8],[1,3,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,67],[0,3,31],[1,2,8],[1,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,67],[0,3,31],[1,2,8],[1,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,67],[0,3,31],[1,2,8],[1,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8, w=8\",\"Add (0,3)=31, w=39\",\"Add (0,2)=67, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,67],[0,3,31],[1,2,8],[1,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8 Succeeded, w=8\",\"Add (0,3)=31 Succeeded, w=39\",\"Add (0,2)=67 Succeeded, w=106\",\"Add (0,1)=84 Failed, w=106\",\"Add (1,3)=99 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,67],[0,3,31],[1,2,8],[1,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,3)=31,(0,2)=67,(0,1)=84,(1,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=39\",\"Find(0)=0, Find(2)=1, Add (0,2)=67 Succeeded, w=106\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=106\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,67],[0,3,31],[1,2,8],[1,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,3)=31,(0,2)=67,(0,1)=84,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=67 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,35],[0,2,13],[0,3,93],[1,2,22],[1,3,5],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,13],[0,3,93],[1,2,22],[1,3,5],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,13],[0,3,93],[1,2,22],[1,3,5],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,13],[0,3,93],[1,2,22],[1,3,5],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (2,3)=11, w=16\",\"Add (0,2)=13, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,13],[0,3,93],[1,2,22],[1,3,5],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,3)=11 Succeeded, w=16\",\"Add (0,2)=13 Succeeded, w=29\",\"Add (1,2)=22 Failed, w=29\",\"Add (0,1)=35 Failed, w=29\",\"Add (0,3)=93 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,13],[0,3,93],[1,2,22],[1,3,5],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=11,(0,2)=13,(1,2)=22,(0,1)=35,(0,3)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=1, Add (2,3)=11 Succeeded, w=16\",\"Find(0)=0, Find(2)=1, Add (0,2)=13 Succeeded, w=29\",\"Find(1)=1, Find(2)=1, Add (1,2)=22 Failed, w=29\",\"Find(0)=1, Find(1)=1, Add (0,1)=35 Failed, w=29\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,13],[0,3,93],[1,2,22],[1,3,5],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=11,(0,2)=13,(1,2)=22,(0,1)=35,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=11 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=13 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=22 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=35 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,2],[1,2,71],[1,3,51],[2,3,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,71],[1,3,51],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,71],[1,3,51],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,71],[1,3,51],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (2,3)=43, w=45\",\"Add (1,3)=51, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,71],[1,3,51],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (2,3)=43 Succeeded, w=45\",\"Add (1,3)=51 Succeeded, w=96\",\"Add (1,2)=71 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,71],[1,3,51],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,3)=43,(1,3)=51,(1,2)=71]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(2)=0, Find(3)=3, Add (2,3)=43 Succeeded, w=45\",\"Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,71],[1,3,51],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,3)=43,(1,3)=51,(1,2)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=43 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,60],[0,3,17],[0,4,72],[1,2,95],[1,3,100],[2,3,64],[2,4,93],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,60],[0,3,17],[0,4,72],[1,2,95],[1,3,100],[2,3,64],[2,4,93],[3,4,3]]}",
"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\":[[0,1,32],[0,2,60],[0,3,17],[0,4,72],[1,2,95],[1,3,100],[2,3,64],[2,4,93],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,60],[0,3,17],[0,4,72],[1,2,95],[1,3,100],[2,3,64],[2,4,93],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (0,3)=17, w=20\",\"Add (0,1)=32, w=52\",\"Add (0,2)=60, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,60],[0,3,17],[0,4,72],[1,2,95],[1,3,100],[2,3,64],[2,4,93],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (0,3)=17 Succeeded, w=20\",\"Add (0,1)=32 Succeeded, w=52\",\"Add (0,2)=60 Succeeded, w=112\",\"Add (2,3)=64 Failed, w=112\",\"Add (0,4)=72 Failed, w=112\",\"Add (2,4)=93 Failed, w=112\",\"Add (1,2)=95 Failed, w=112\",\"Add (1,3)=100 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\":[[0,1,32],[0,2,60],[0,3,17],[0,4,72],[1,2,95],[1,3,100],[2,3,64],[2,4,93],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,3)=17,(0,1)=32,(0,2)=60,(2,3)=64,(0,4)=72,(2,4)=93,(1,2)=95,(1,3)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=20\",\"Find(0)=3, Find(1)=1, Add (0,1)=32 Succeeded, w=52\",\"Find(0)=3, Find(2)=2, Add (0,2)=60 Succeeded, w=112\",\"Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=112\",\"Find(0)=3, Find(4)=3, Add (0,4)=72 Failed, w=112\",\"Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=112\",\"Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=112\",\"Find(1)=3, Find(3)=3, Add (1,3)=100 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\":[[0,1,32],[0,2,60],[0,3,17],[0,4,72],[1,2,95],[1,3,100],[2,3,64],[2,4,93],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,3)=17,(0,1)=32,(0,2)=60,(2,3)=64,(0,4)=72,(2,4)=93,(1,2)=95,(1,3)=100]\",\"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: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=20\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=32 Succeeded, w=52\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=2, Add (0,2)=60 Succeeded, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=64 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=72 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=100 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,24],[0,3,47],[0,4,18],[1,2,6],[1,4,5],[1,5,77],[2,3,10],[2,4,31],[2,5,91],[3,4,51],[4,5,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,3,47],[0,4,18],[1,2,6],[1,4,5],[1,5,77],[2,3,10],[2,4,31],[2,5,91],[3,4,51],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,3,47],[0,4,18],[1,2,6],[1,4,5],[1,5,77],[2,3,10],[2,4,31],[2,5,91],[3,4,51],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,3,47],[0,4,18],[1,2,6],[1,4,5],[1,5,77],[2,3,10],[2,4,31],[2,5,91],[3,4,51],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (1,2)=6, w=11\",\"Add (2,3)=10, w=21\",\"Add (4,5)=17, w=38\",\"Add (0,4)=18, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,3,47],[0,4,18],[1,2,6],[1,4,5],[1,5,77],[2,3,10],[2,4,31],[2,5,91],[3,4,51],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (1,2)=6 Succeeded, w=11\",\"Add (2,3)=10 Succeeded, w=21\",\"Add (4,5)=17 Succeeded, w=38\",\"Add (0,4)=18 Succeeded, w=56\",\"Add (0,1)=24 Failed, w=56\",\"Add (2,4)=31 Failed, w=56\",\"Add (0,3)=47 Failed, w=56\",\"Add (3,4)=51 Failed, w=56\",\"Add (1,5)=77 Failed, w=56\",\"Add (2,5)=91 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,3,47],[0,4,18],[1,2,6],[1,4,5],[1,5,77],[2,3,10],[2,4,31],[2,5,91],[3,4,51],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,2)=6,(2,3)=10,(4,5)=17,(0,4)=18,(0,1)=24,(2,4)=31,(0,3)=47,(3,4)=51,(1,5)=77,(2,5)=91]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Find(2)=1, Find(3)=3, Add (2,3)=10 Succeeded, w=21\",\"Find(4)=1, Find(5)=5, Add (4,5)=17 Succeeded, w=38\",\"Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=24 Failed, w=56\",\"Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=56\",\"Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=56\",\"Find(3)=1, Find(4)=1, Add (3,4)=51 Failed, w=56\",\"Find(1)=1, Find(5)=1, Add (1,5)=77 Failed, w=56\",\"Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,3,47],[0,4,18],[1,2,6],[1,4,5],[1,5,77],[2,3,10],[2,4,31],[2,5,91],[3,4,51],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,2)=6,(2,3)=10,(4,5)=17,(0,4)=18,(0,1)=24,(2,4)=31,(0,3)=47,(3,4)=51,(1,5)=77,(2,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=3, Add (2,3)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=17 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=24 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=51 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=77 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,2,23],[0,5,20],[1,3,56],[2,4,24],[2,5,81],[3,4,51],[3,5,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,23],[0,5,20],[1,3,56],[2,4,24],[2,5,81],[3,4,51],[3,5,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,23],[0,5,20],[1,3,56],[2,4,24],[2,5,81],[3,4,51],[3,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,23],[0,5,20],[1,3,56],[2,4,24],[2,5,81],[3,4,51],[3,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=14, w=14\",\"Add (0,5)=20, w=34\",\"Add (0,2)=23, w=57\",\"Add (2,4)=24, w=81\",\"Add (1,3)=56, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,23],[0,5,20],[1,3,56],[2,4,24],[2,5,81],[3,4,51],[3,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=14 Succeeded, w=14\",\"Add (0,5)=20 Succeeded, w=34\",\"Add (0,2)=23 Succeeded, w=57\",\"Add (2,4)=24 Succeeded, w=81\",\"Add (3,4)=51 Failed, w=81\",\"Add (1,3)=56 Succeeded, w=137\",\"Add (0,1)=68 Failed, w=137\",\"Add (2,5)=81 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,23],[0,5,20],[1,3,56],[2,4,24],[2,5,81],[3,4,51],[3,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=14,(0,5)=20,(0,2)=23,(2,4)=24,(3,4)=51,(1,3)=56,(0,1)=68,(2,5)=81]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=14\",\"Find(0)=0, Find(5)=3, Add (0,5)=20 Succeeded, w=34\",\"Find(0)=3, Find(2)=2, Add (0,2)=23 Succeeded, w=57\",\"Find(2)=3, Find(4)=4, Add (2,4)=24 Succeeded, w=81\",\"Find(3)=3, Find(4)=3, Add (3,4)=51 Failed, w=81\",\"Find(1)=1, Find(3)=3, Add (1,3)=56 Succeeded, w=137\",\"Find(0)=3, Find(1)=3, Add (0,1)=68 Failed, w=137\",\"Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,23],[0,5,20],[1,3,56],[2,4,24],[2,5,81],[3,4,51],[3,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=14,(0,5)=20,(0,2)=23,(2,4)=24,(3,4)=51,(1,3)=56,(0,1)=68,(2,5)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=14\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=20 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(2)=2, Add (0,2)=23 Succeeded, w=57\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=4, Add (2,4)=24 Succeeded, w=81\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=51 Failed, w=81\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=56 Succeeded, w=137\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=68 Failed, w=137\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=81 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,38],[0,3,50],[0,4,56],[1,2,30],[1,4,59],[2,3,7],[2,4,47],[3,4,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,38],[0,3,50],[0,4,56],[1,2,30],[1,4,59],[2,3,7],[2,4,47],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,38],[0,3,50],[0,4,56],[1,2,30],[1,4,59],[2,3,7],[2,4,47],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,38],[0,3,50],[0,4,56],[1,2,30],[1,4,59],[2,3,7],[2,4,47],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (1,2)=30, w=37\",\"Add (0,2)=38, w=75\",\"Add (2,4)=47, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,38],[0,3,50],[0,4,56],[1,2,30],[1,4,59],[2,3,7],[2,4,47],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (1,2)=30 Succeeded, w=37\",\"Add (0,2)=38 Succeeded, w=75\",\"Add (2,4)=47 Succeeded, w=122\",\"Add (0,3)=50 Failed, w=122\",\"Add (0,4)=56 Failed, w=122\",\"Add (1,4)=59 Failed, w=122\",\"Add (3,4)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,38],[0,3,50],[0,4,56],[1,2,30],[1,4,59],[2,3,7],[2,4,47],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(1,2)=30,(0,2)=38,(2,4)=47,(0,3)=50,(0,4)=56,(1,4)=59,(3,4)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=37\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=75\",\"Find(2)=2, Find(4)=4, Add (2,4)=47 Succeeded, w=122\",\"Find(0)=2, Find(3)=2, Add (0,3)=50 Failed, w=122\",\"Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=122\",\"Find(1)=2, Find(4)=2, Add (1,4)=59 Failed, w=122\",\"Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,38],[0,3,50],[0,4,56],[1,2,30],[1,4,59],[2,3,7],[2,4,47],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(1,2)=30,(0,2)=38,(2,4)=47,(0,3)=50,(0,4)=56,(1,4)=59,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=47 Succeeded, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=50 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=59 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,100],[0,3,49],[0,4,48],[0,5,74],[0,6,2],[1,2,98],[1,3,39],[1,5,43],[1,6,68],[2,4,87],[2,5,29],[3,6,97],[3,7,72],[4,5,86],[4,6,51],[5,7,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,100],[0,3,49],[0,4,48],[0,5,74],[0,6,2],[1,2,98],[1,3,39],[1,5,43],[1,6,68],[2,4,87],[2,5,29],[3,6,97],[3,7,72],[4,5,86],[4,6,51],[5,7,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,100],[0,3,49],[0,4,48],[0,5,74],[0,6,2],[1,2,98],[1,3,39],[1,5,43],[1,6,68],[2,4,87],[2,5,29],[3,6,97],[3,7,72],[4,5,86],[4,6,51],[5,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (3,7)\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,100],[0,3,49],[0,4,48],[0,5,74],[0,6,2],[1,2,98],[1,3,39],[1,5,43],[1,6,68],[2,4,87],[2,5,29],[3,6,97],[3,7,72],[4,5,86],[4,6,51],[5,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (0,1)=4, w=6\",\"Add (2,5)=29, w=35\",\"Add (1,3)=39, w=74\",\"Add (1,5)=43, w=117\",\"Add (0,4)=48, w=165\",\"Add (3,7)=72, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,100],[0,3,49],[0,4,48],[0,5,74],[0,6,2],[1,2,98],[1,3,39],[1,5,43],[1,6,68],[2,4,87],[2,5,29],[3,6,97],[3,7,72],[4,5,86],[4,6,51],[5,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (0,1)=4 Succeeded, w=6\",\"Add (2,5)=29 Succeeded, w=35\",\"Add (1,3)=39 Succeeded, w=74\",\"Add (1,5)=43 Succeeded, w=117\",\"Add (0,4)=48 Succeeded, w=165\",\"Add (0,3)=49 Failed, w=165\",\"Add (4,6)=51 Failed, w=165\",\"Add (1,6)=68 Failed, w=165\",\"Add (3,7)=72 Succeeded, w=237\",\"Add (0,5)=74 Failed, w=237\",\"Add (4,5)=86 Failed, w=237\",\"Add (2,4)=87 Failed, w=237\",\"Add (5,7)=94 Failed, w=237\",\"Add (3,6)=97 Failed, w=237\",\"Add (1,2)=98 Failed, w=237\",\"Add (0,2)=100 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,100],[0,3,49],[0,4,48],[0,5,74],[0,6,2],[1,2,98],[1,3,39],[1,5,43],[1,6,68],[2,4,87],[2,5,29],[3,6,97],[3,7,72],[4,5,86],[4,6,51],[5,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(0,1)=4,(2,5)=29,(1,3)=39,(1,5)=43,(0,4)=48,(0,3)=49,(4,6)=51,(1,6)=68,(3,7)=72,(0,5)=74,(4,5)=86,(2,4)=87,(5,7)=94,(3,6)=97,(1,2)=98,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=35\",\"Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=74\",\"Find(1)=0, Find(5)=2, Add (1,5)=43 Succeeded, w=117\",\"Find(0)=0, Find(4)=4, Add (0,4)=48 Succeeded, w=165\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=165\",\"Find(4)=0, Find(6)=0, Add (4,6)=51 Failed, w=165\",\"Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=165\",\"Find(3)=0, Find(7)=7, Add (3,7)=72 Succeeded, w=237\",\"Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=237\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=237\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=237\",\"Find(5)=0, Find(7)=0, Add (5,7)=94 Failed, w=237\",\"Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=237\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=237\",\"Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,100],[0,3,49],[0,4,48],[0,5,74],[0,6,2],[1,2,98],[1,3,39],[1,5,43],[1,6,68],[2,4,87],[2,5,29],[3,6,97],[3,7,72],[4,5,86],[4,6,51],[5,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(0,1)=4,(2,5)=29,(1,3)=39,(1,5)=43,(0,4)=48,(0,3)=49,(4,6)=51,(1,6)=68,(3,7)=72,(0,5)=74,(4,5)=86,(2,4)=87,(5,7)=94,(3,6)=97,(1,2)=98,(0,2)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=29 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 0, 7: 7}, Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 2, 6: 0, 7: 7}, Find(1)=0, Find(5)=2, Add (1,5)=43 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=48 Succeeded, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 7}, Find(4)=0, Find(6)=0, Add (4,6)=51 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 7}, Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=72 Succeeded, w=237\",\"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)=74 Failed, w=237\",\"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)=86 Failed, w=237\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=237\",\"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)=94 Failed, w=237\",\"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)=97 Failed, w=237\",\"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)=98 Failed, w=237\",\"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)=100 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,17],[0,2,7],[0,3,19],[1,2,0],[1,3,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,7],[0,3,19],[1,2,0],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":26}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,7],[0,3,19],[1,2,0],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":26}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,7],[0,3,19],[1,2,0],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,2)=7, w=7\",\"Add (0,3)=19, w=26\"],\"Answer\":26}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,7],[0,3,19],[1,2,0],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,1)=17 Failed, w=7\",\"Add (0,3)=19 Succeeded, w=26\",\"Add (1,3)=83 Failed, w=26\"],\"Answer\":26}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,7],[0,3,19],[1,2,0],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,2)=7,(0,1)=17,(0,3)=19,(1,3)=83]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=1, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=1, Find(1)=1, Add (0,1)=17 Failed, w=7\",\"Find(0)=1, Find(3)=3, Add (0,3)=19 Succeeded, w=26\",\"Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=26\"],\"Answer\":26}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,7],[0,3,19],[1,2,0],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,2)=7,(0,1)=17,(0,3)=19,(1,3)=83]\",\"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: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=1, Find(1)=1, Add (0,1)=17 Failed, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=19 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=26\"],\"Answer\":26}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,20],[0,3,42],[1,3,56],[2,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,42],[1,3,56],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,42],[1,3,56],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,42],[1,3,56],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=20, w=20\",\"Add (0,3)=42, w=62\",\"Add (1,3)=56, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,42],[1,3,56],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=20 Succeeded, w=20\",\"Add (0,3)=42 Succeeded, w=62\",\"Add (2,3)=55 Failed, w=62\",\"Add (1,3)=56 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,42],[1,3,56],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=20,(0,3)=42,(2,3)=55,(1,3)=56]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=62\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=62\",\"Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,20],[0,3,42],[1,3,56],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=20,(0,3)=42,(2,3)=55,(1,3)=56]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=56 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,6],[0,2,65],[1,2,31],[1,3,44],[2,3,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,65],[1,2,31],[1,3,44],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,65],[1,2,31],[1,3,44],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,65],[1,2,31],[1,3,44],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (2,3)=22, w=28\",\"Add (1,2)=31, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,65],[1,2,31],[1,3,44],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (2,3)=22 Succeeded, w=28\",\"Add (1,2)=31 Succeeded, w=59\",\"Add (1,3)=44 Failed, w=59\",\"Add (0,2)=65 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,65],[1,2,31],[1,3,44],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(2,3)=22,(1,2)=31,(1,3)=44,(0,2)=65]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=28\",\"Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=59\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,65],[1,2,31],[1,3,44],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(2,3)=22,(1,2)=31,(1,3)=44,(0,2)=65]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,68],[0,2,63],[0,3,9],[0,4,21],[0,5,88],[1,2,29],[1,3,32],[1,5,63],[2,3,15],[2,4,14],[2,5,39],[2,6,64],[3,4,54],[3,5,13],[3,6,68],[4,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,63],[0,3,9],[0,4,21],[0,5,88],[1,2,29],[1,3,32],[1,5,63],[2,3,15],[2,4,14],[2,5,39],[2,6,64],[3,4,54],[3,5,13],[3,6,68],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,63],[0,3,9],[0,4,21],[0,5,88],[1,2,29],[1,3,32],[1,5,63],[2,3,15],[2,4,14],[2,5,39],[2,6,64],[3,4,54],[3,5,13],[3,6,68],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,63],[0,3,9],[0,4,21],[0,5,88],[1,2,29],[1,3,32],[1,5,63],[2,3,15],[2,4,14],[2,5,39],[2,6,64],[3,4,54],[3,5,13],[3,6,68],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (4,6)=12, w=21\",\"Add (3,5)=13, w=34\",\"Add (2,4)=14, w=48\",\"Add (2,3)=15, w=63\",\"Add (1,2)=29, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,63],[0,3,9],[0,4,21],[0,5,88],[1,2,29],[1,3,32],[1,5,63],[2,3,15],[2,4,14],[2,5,39],[2,6,64],[3,4,54],[3,5,13],[3,6,68],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (4,6)=12 Succeeded, w=21\",\"Add (3,5)=13 Succeeded, w=34\",\"Add (2,4)=14 Succeeded, w=48\",\"Add (2,3)=15 Succeeded, w=63\",\"Add (0,4)=21 Failed, w=63\",\"Add (1,2)=29 Succeeded, w=92\",\"Add (1,3)=32 Failed, w=92\",\"Add (2,5)=39 Failed, w=92\",\"Add (3,4)=54 Failed, w=92\",\"Add (0,2)=63 Failed, w=92\",\"Add (1,5)=63 Failed, w=92\",\"Add (2,6)=64 Failed, w=92\",\"Add (0,1)=68 Failed, w=92\",\"Add (3,6)=68 Failed, w=92\",\"Add (0,5)=88 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,63],[0,3,9],[0,4,21],[0,5,88],[1,2,29],[1,3,32],[1,5,63],[2,3,15],[2,4,14],[2,5,39],[2,6,64],[3,4,54],[3,5,13],[3,6,68],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(4,6)=12,(3,5)=13,(2,4)=14,(2,3)=15,(0,4)=21,(1,2)=29,(1,3)=32,(2,5)=39,(3,4)=54,(0,2)=63,(1,5)=63,(2,6)=64,(0,1)=68,(3,6)=68,(0,5)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=21\",\"Find(3)=0, Find(5)=5, Add (3,5)=13 Succeeded, w=34\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=48\",\"Find(2)=4, Find(3)=0, Add (2,3)=15 Succeeded, w=63\",\"Find(0)=4, Find(4)=4, Add (0,4)=21 Failed, w=63\",\"Find(1)=1, Find(2)=4, Add (1,2)=29 Succeeded, w=92\",\"Find(1)=4, Find(3)=4, Add (1,3)=32 Failed, w=92\",\"Find(2)=4, Find(5)=4, Add (2,5)=39 Failed, w=92\",\"Find(3)=4, Find(4)=4, Add (3,4)=54 Failed, w=92\",\"Find(0)=4, Find(2)=4, Add (0,2)=63 Failed, w=92\",\"Find(1)=4, Find(5)=4, Add (1,5)=63 Failed, w=92\",\"Find(2)=4, Find(6)=4, Add (2,6)=64 Failed, w=92\",\"Find(0)=4, Find(1)=4, Add (0,1)=68 Failed, w=92\",\"Find(3)=4, Find(6)=4, Add (3,6)=68 Failed, w=92\",\"Find(0)=4, Find(5)=4, Add (0,5)=88 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,68],[0,2,63],[0,3,9],[0,4,21],[0,5,88],[1,2,29],[1,3,32],[1,5,63],[2,3,15],[2,4,14],[2,5,39],[2,6,64],[3,4,54],[3,5,13],[3,6,68],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(4,6)=12,(3,5)=13,(2,4)=14,(2,3)=15,(0,4)=21,(1,2)=29,(1,3)=32,(2,5)=39,(3,4)=54,(0,2)=63,(1,5)=63,(2,6)=64,(0,1)=68,(3,6)=68,(0,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 4}, Find(3)=0, Find(5)=5, Add (3,5)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 0, 6: 4}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=48\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 0, 4: 4, 5: 0, 6: 4}, Find(2)=4, Find(3)=0, Add (2,3)=15 Succeeded, w=63\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 0, 4: 4, 5: 0, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=21 Failed, w=63\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(2)=4, Add (1,2)=29 Succeeded, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 0, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=32 Failed, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=39 Failed, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=54 Failed, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=63 Failed, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=63 Failed, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=64 Failed, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=68 Failed, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=68 Failed, w=92\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=88 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,95],[0,2,95],[0,3,7],[0,4,51],[1,2,3],[1,3,64],[1,4,35],[2,3,7],[2,4,16],[3,4,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,95],[0,3,7],[0,4,51],[1,2,3],[1,3,64],[1,4,35],[2,3,7],[2,4,16],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,95],[0,3,7],[0,4,51],[1,2,3],[1,3,64],[1,4,35],[2,3,7],[2,4,16],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,95],[0,3,7],[0,4,51],[1,2,3],[1,3,64],[1,4,35],[2,3,7],[2,4,16],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,3)=7, w=10\",\"Add (2,3)=7, w=17\",\"Add (2,4)=16, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,95],[0,3,7],[0,4,51],[1,2,3],[1,3,64],[1,4,35],[2,3,7],[2,4,16],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,3)=7 Succeeded, w=10\",\"Add (2,3)=7 Succeeded, w=17\",\"Add (2,4)=16 Succeeded, w=33\",\"Add (1,4)=35 Failed, w=33\",\"Add (3,4)=49 Failed, w=33\",\"Add (0,4)=51 Failed, w=33\",\"Add (1,3)=64 Failed, w=33\",\"Add (0,1)=95 Failed, w=33\",\"Add (0,2)=95 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,95],[0,3,7],[0,4,51],[1,2,3],[1,3,64],[1,4,35],[2,3,7],[2,4,16],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,3)=7,(2,3)=7,(2,4)=16,(1,4)=35,(3,4)=49,(0,4)=51,(1,3)=64,(0,1)=95,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=10\",\"Find(2)=1, Find(3)=0, Add (2,3)=7 Succeeded, w=17\",\"Find(2)=1, Find(4)=4, Add (2,4)=16 Succeeded, w=33\",\"Find(1)=1, Find(4)=1, Add (1,4)=35 Failed, w=33\",\"Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=33\",\"Find(0)=1, Find(4)=1, Add (0,4)=51 Failed, w=33\",\"Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=33\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=33\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,95],[0,3,7],[0,4,51],[1,2,3],[1,3,64],[1,4,35],[2,3,7],[2,4,16],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,3)=7,(2,3)=7,(2,4)=16,(1,4)=35,(3,4)=49,(0,4)=51,(1,3)=64,(0,1)=95,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4}, Find(2)=1, Find(3)=0, Add (2,3)=7 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=16 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=35 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=49 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=51 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,46],[0,2,83],[0,4,12],[0,6,96],[0,7,37],[1,2,39],[1,3,78],[1,6,45],[1,7,3],[2,3,81],[2,5,94],[2,6,69],[2,7,86],[3,4,69],[3,6,17],[3,7,41],[4,6,73],[4,7,30],[6,7,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,83],[0,4,12],[0,6,96],[0,7,37],[1,2,39],[1,3,78],[1,6,45],[1,7,3],[2,3,81],[2,5,94],[2,6,69],[2,7,86],[3,4,69],[3,6,17],[3,7,41],[4,6,73],[4,7,30],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":236}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,83],[0,4,12],[0,6,96],[0,7,37],[1,2,39],[1,3,78],[1,6,45],[1,7,3],[2,3,81],[2,5,94],[2,6,69],[2,7,86],[3,4,69],[3,6,17],[3,7,41],[4,6,73],[4,7,30],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (2,5)\"],\"Answer\":236}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,83],[0,4,12],[0,6,96],[0,7,37],[1,2,39],[1,3,78],[1,6,45],[1,7,3],[2,3,81],[2,5,94],[2,6,69],[2,7,86],[3,4,69],[3,6,17],[3,7,41],[4,6,73],[4,7,30],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=3, w=3\",\"Add (0,4)=12, w=15\",\"Add (3,6)=17, w=32\",\"Add (4,7)=30, w=62\",\"Add (1,2)=39, w=101\",\"Add (3,7)=41, w=142\",\"Add (2,5)=94, w=236\"],\"Answer\":236}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,83],[0,4,12],[0,6,96],[0,7,37],[1,2,39],[1,3,78],[1,6,45],[1,7,3],[2,3,81],[2,5,94],[2,6,69],[2,7,86],[3,4,69],[3,6,17],[3,7,41],[4,6,73],[4,7,30],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=3 Succeeded, w=3\",\"Add (0,4)=12 Succeeded, w=15\",\"Add (3,6)=17 Succeeded, w=32\",\"Add (4,7)=30 Succeeded, w=62\",\"Add (0,7)=37 Failed, w=62\",\"Add (1,2)=39 Succeeded, w=101\",\"Add (3,7)=41 Succeeded, w=142\",\"Add (1,6)=45 Failed, w=142\",\"Add (0,1)=46 Failed, w=142\",\"Add (6,7)=61 Failed, w=142\",\"Add (2,6)=69 Failed, w=142\",\"Add (3,4)=69 Failed, w=142\",\"Add (4,6)=73 Failed, w=142\",\"Add (1,3)=78 Failed, w=142\",\"Add (2,3)=81 Failed, w=142\",\"Add (0,2)=83 Failed, w=142\",\"Add (2,7)=86 Failed, w=142\",\"Add (2,5)=94 Succeeded, w=236\",\"Add (0,6)=96 Failed, w=236\"],\"Answer\":236}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,83],[0,4,12],[0,6,96],[0,7,37],[1,2,39],[1,3,78],[1,6,45],[1,7,3],[2,3,81],[2,5,94],[2,6,69],[2,7,86],[3,4,69],[3,6,17],[3,7,41],[4,6,73],[4,7,30],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=3,(0,4)=12,(3,6)=17,(4,7)=30,(0,7)=37,(1,2)=39,(3,7)=41,(1,6)=45,(0,1)=46,(6,7)=61,(2,6)=69,(3,4)=69,(4,6)=73,(1,3)=78,(2,3)=81,(0,2)=83,(2,7)=86,(2,5)=94,(0,6)=96]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=15\",\"Find(3)=3, Find(6)=6, Add (3,6)=17 Succeeded, w=32\",\"Find(4)=0, Find(7)=1, Add (4,7)=30 Succeeded, w=62\",\"Find(0)=0, Find(7)=0, Add (0,7)=37 Failed, w=62\",\"Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=101\",\"Find(3)=3, Find(7)=0, Add (3,7)=41 Succeeded, w=142\",\"Find(1)=0, Find(6)=0, Add (1,6)=45 Failed, w=142\",\"Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=142\",\"Find(6)=0, Find(7)=0, Add (6,7)=61 Failed, w=142\",\"Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=142\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=142\",\"Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=142\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=142\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=142\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=142\",\"Find(2)=0, Find(7)=0, Add (2,7)=86 Failed, w=142\",\"Find(2)=0, Find(5)=5, Add (2,5)=94 Succeeded, w=236\",\"Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=236\"],\"Answer\":236}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,83],[0,4,12],[0,6,96],[0,7,37],[1,2,39],[1,3,78],[1,6,45],[1,7,3],[2,3,81],[2,5,94],[2,6,69],[2,7,86],[3,4,69],[3,6,17],[3,7,41],[4,6,73],[4,7,30],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=3,(0,4)=12,(3,6)=17,(4,7)=30,(0,7)=37,(1,2)=39,(3,7)=41,(1,6)=45,(0,1)=46,(6,7)=61,(2,6)=69,(3,4)=69,(4,6)=73,(1,3)=78,(2,3)=81,(0,2)=83,(2,7)=86,(2,5)=94,(0,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 3, 7: 1}, Find(3)=3, Find(6)=6, Add (3,6)=17 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 3, 7: 1}, Find(4)=0, Find(7)=1, Add (4,7)=30 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 3, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=37 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 3, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=41 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=45 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=61 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=86 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=94 Succeeded, w=236\",\"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)=96 Failed, w=236\"],\"Answer\":236}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,10],[0,4,49],[1,4,89],[1,5,45],[1,6,36],[2,5,39],[2,6,1],[3,4,19],[3,5,34],[4,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,10],[0,4,49],[1,4,89],[1,5,45],[1,6,36],[2,5,39],[2,6,1],[3,4,19],[3,5,34],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,10],[0,4,49],[1,4,89],[1,5,45],[1,6,36],[2,5,39],[2,6,1],[3,4,19],[3,5,34],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (2,5)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,10],[0,4,49],[1,4,89],[1,5,45],[1,6,36],[2,5,39],[2,6,1],[3,4,19],[3,5,34],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (0,2)=10, w=11\",\"Add (3,4)=19, w=30\",\"Add (3,5)=34, w=64\",\"Add (1,6)=36, w=100\",\"Add (2,5)=39, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,10],[0,4,49],[1,4,89],[1,5,45],[1,6,36],[2,5,39],[2,6,1],[3,4,19],[3,5,34],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (0,2)=10 Succeeded, w=11\",\"Add (3,4)=19 Succeeded, w=30\",\"Add (3,5)=34 Succeeded, w=64\",\"Add (1,6)=36 Succeeded, w=100\",\"Add (2,5)=39 Succeeded, w=139\",\"Add (1,5)=45 Failed, w=139\",\"Add (0,4)=49 Failed, w=139\",\"Add (4,5)=54 Failed, w=139\",\"Add (1,4)=89 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,10],[0,4,49],[1,4,89],[1,5,45],[1,6,36],[2,5,39],[2,6,1],[3,4,19],[3,5,34],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(0,2)=10,(3,4)=19,(3,5)=34,(1,6)=36,(2,5)=39,(1,5)=45,(0,4)=49,(4,5)=54,(1,4)=89]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=30\",\"Find(3)=3, Find(5)=5, Add (3,5)=34 Succeeded, w=64\",\"Find(1)=1, Find(6)=2, Add (1,6)=36 Succeeded, w=100\",\"Find(2)=2, Find(5)=3, Add (2,5)=39 Succeeded, w=139\",\"Find(1)=2, Find(5)=2, Add (1,5)=45 Failed, w=139\",\"Find(0)=2, Find(4)=2, Add (0,4)=49 Failed, w=139\",\"Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=139\",\"Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,10],[0,4,49],[1,4,89],[1,5,45],[1,6,36],[2,5,39],[2,6,1],[3,4,19],[3,5,34],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(0,2)=10,(3,4)=19,(3,5)=34,(1,6)=36,(2,5)=39,(1,5)=45,(0,4)=49,(4,5)=54,(1,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=30\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2}, Find(3)=3, Find(5)=5, Add (3,5)=34 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=36 Succeeded, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 3, 6: 2}, Find(2)=2, Find(5)=3, Add (2,5)=39 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=45 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=49 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,14],[0,2,20],[0,3,76],[0,4,6],[0,5,100],[1,2,2],[1,3,23],[1,4,24],[2,3,100],[2,4,6],[2,5,19],[4,5,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,20],[0,3,76],[0,4,6],[0,5,100],[1,2,2],[1,3,23],[1,4,24],[2,3,100],[2,4,6],[2,5,19],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,20],[0,3,76],[0,4,6],[0,5,100],[1,2,2],[1,3,23],[1,4,24],[2,3,100],[2,4,6],[2,5,19],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,20],[0,3,76],[0,4,6],[0,5,100],[1,2,2],[1,3,23],[1,4,24],[2,3,100],[2,4,6],[2,5,19],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (0,4)=6, w=8\",\"Add (2,4)=6, w=14\",\"Add (2,5)=19, w=33\",\"Add (1,3)=23, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,20],[0,3,76],[0,4,6],[0,5,100],[1,2,2],[1,3,23],[1,4,24],[2,3,100],[2,4,6],[2,5,19],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (0,4)=6 Succeeded, w=8\",\"Add (2,4)=6 Succeeded, w=14\",\"Add (0,1)=14 Failed, w=14\",\"Add (2,5)=19 Succeeded, w=33\",\"Add (0,2)=20 Failed, w=33\",\"Add (1,3)=23 Succeeded, w=56\",\"Add (1,4)=24 Failed, w=56\",\"Add (4,5)=39 Failed, w=56\",\"Add (0,3)=76 Failed, w=56\",\"Add (0,5)=100 Failed, w=56\",\"Add (2,3)=100 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,20],[0,3,76],[0,4,6],[0,5,100],[1,2,2],[1,3,23],[1,4,24],[2,3,100],[2,4,6],[2,5,19],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,4)=6,(2,4)=6,(0,1)=14,(2,5)=19,(0,2)=20,(1,3)=23,(1,4)=24,(4,5)=39,(0,3)=76,(0,5)=100,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=8\",\"Find(2)=1, Find(4)=0, Add (2,4)=6 Succeeded, w=14\",\"Find(0)=1, Find(1)=1, Add (0,1)=14 Failed, w=14\",\"Find(2)=1, Find(5)=5, Add (2,5)=19 Succeeded, w=33\",\"Find(0)=1, Find(2)=1, Add (0,2)=20 Failed, w=33\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=56\",\"Find(1)=1, Find(4)=1, Add (1,4)=24 Failed, w=56\",\"Find(4)=1, Find(5)=1, Add (4,5)=39 Failed, w=56\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=56\",\"Find(0)=1, Find(5)=1, Add (0,5)=100 Failed, w=56\",\"Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,20],[0,3,76],[0,4,6],[0,5,100],[1,2,2],[1,3,23],[1,4,24],[2,3,100],[2,4,6],[2,5,19],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,4)=6,(2,4)=6,(0,1)=14,(2,5)=19,(0,2)=20,(1,3)=23,(1,4)=24,(4,5)=39,(0,3)=76,(0,5)=100,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(2)=1, Find(4)=0, Add (2,4)=6 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(0)=1, Find(1)=1, Add (0,1)=14 Failed, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=19 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=20 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=24 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=39 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=100 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,3,54],[0,4,3],[1,2,3],[1,3,72],[1,4,24],[1,5,29],[2,5,53],[3,4,66],[3,5,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,3,54],[0,4,3],[1,2,3],[1,3,72],[1,4,24],[1,5,29],[2,5,53],[3,4,66],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,3,54],[0,4,3],[1,2,3],[1,3,72],[1,4,24],[1,5,29],[2,5,53],[3,4,66],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (3,5)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,3,54],[0,4,3],[1,2,3],[1,3,72],[1,4,24],[1,5,29],[2,5,53],[3,4,66],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,2)=3, w=6\",\"Add (1,4)=24, w=30\",\"Add (1,5)=29, w=59\",\"Add (3,5)=34, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,3,54],[0,4,3],[1,2,3],[1,3,72],[1,4,24],[1,5,29],[2,5,53],[3,4,66],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,2)=3 Succeeded, w=6\",\"Add (1,4)=24 Succeeded, w=30\",\"Add (1,5)=29 Succeeded, w=59\",\"Add (3,5)=34 Succeeded, w=93\",\"Add (0,1)=48 Failed, w=93\",\"Add (2,5)=53 Failed, w=93\",\"Add (0,3)=54 Failed, w=93\",\"Add (3,4)=66 Failed, w=93\",\"Add (1,3)=72 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,3,54],[0,4,3],[1,2,3],[1,3,72],[1,4,24],[1,5,29],[2,5,53],[3,4,66],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,2)=3,(1,4)=24,(1,5)=29,(3,5)=34,(0,1)=48,(2,5)=53,(0,3)=54,(3,4)=66,(1,3)=72]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=6\",\"Find(1)=1, Find(4)=0, Add (1,4)=24 Succeeded, w=30\",\"Find(1)=1, Find(5)=5, Add (1,5)=29 Succeeded, w=59\",\"Find(3)=3, Find(5)=1, Add (3,5)=34 Succeeded, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=93\",\"Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=93\",\"Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=93\",\"Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=93\",\"Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,3,54],[0,4,3],[1,2,3],[1,3,72],[1,4,24],[1,5,29],[2,5,53],[3,4,66],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,2)=3,(1,4)=24,(1,5)=29,(3,5)=34,(0,1)=48,(2,5)=53,(0,3)=54,(3,4)=66,(1,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=24 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=29 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=34 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,79],[0,3,89],[0,4,55],[0,5,62],[0,6,60],[1,2,50],[1,3,63],[1,5,69],[1,6,60],[2,3,82],[2,5,43],[2,6,66],[3,4,33],[3,5,45],[4,5,18],[4,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,3,89],[0,4,55],[0,5,62],[0,6,60],[1,2,50],[1,3,63],[1,5,69],[1,6,60],[2,3,82],[2,5,43],[2,6,66],[3,4,33],[3,5,45],[4,5,18],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,3,89],[0,4,55],[0,5,62],[0,6,60],[1,2,50],[1,3,63],[1,5,69],[1,6,60],[2,3,82],[2,5,43],[2,6,66],[3,4,33],[3,5,45],[4,5,18],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,3,89],[0,4,55],[0,5,62],[0,6,60],[1,2,50],[1,3,63],[1,5,69],[1,6,60],[2,3,82],[2,5,43],[2,6,66],[3,4,33],[3,5,45],[4,5,18],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (4,5)=18, w=21\",\"Add (3,4)=33, w=54\",\"Add (2,5)=43, w=97\",\"Add (1,2)=50, w=147\",\"Add (0,4)=55, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,3,89],[0,4,55],[0,5,62],[0,6,60],[1,2,50],[1,3,63],[1,5,69],[1,6,60],[2,3,82],[2,5,43],[2,6,66],[3,4,33],[3,5,45],[4,5,18],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (4,5)=18 Succeeded, w=21\",\"Add (3,4)=33 Succeeded, w=54\",\"Add (2,5)=43 Succeeded, w=97\",\"Add (3,5)=45 Failed, w=97\",\"Add (1,2)=50 Succeeded, w=147\",\"Add (0,4)=55 Succeeded, w=202\",\"Add (0,6)=60 Failed, w=202\",\"Add (1,6)=60 Failed, w=202\",\"Add (0,5)=62 Failed, w=202\",\"Add (1,3)=63 Failed, w=202\",\"Add (2,6)=66 Failed, w=202\",\"Add (1,5)=69 Failed, w=202\",\"Add (0,2)=79 Failed, w=202\",\"Add (2,3)=82 Failed, w=202\",\"Add (0,3)=89 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,3,89],[0,4,55],[0,5,62],[0,6,60],[1,2,50],[1,3,63],[1,5,69],[1,6,60],[2,3,82],[2,5,43],[2,6,66],[3,4,33],[3,5,45],[4,5,18],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(4,5)=18,(3,4)=33,(2,5)=43,(3,5)=45,(1,2)=50,(0,4)=55,(0,6)=60,(1,6)=60,(0,5)=62,(1,3)=63,(2,6)=66,(1,5)=69,(0,2)=79,(2,3)=82,(0,3)=89]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=54\",\"Find(2)=2, Find(5)=4, Add (2,5)=43 Succeeded, w=97\",\"Find(3)=4, Find(5)=4, Add (3,5)=45 Failed, w=97\",\"Find(1)=1, Find(2)=4, Add (1,2)=50 Succeeded, w=147\",\"Find(0)=0, Find(4)=4, Add (0,4)=55 Succeeded, w=202\",\"Find(0)=4, Find(6)=4, Add (0,6)=60 Failed, w=202\",\"Find(1)=4, Find(6)=4, Add (1,6)=60 Failed, w=202\",\"Find(0)=4, Find(5)=4, Add (0,5)=62 Failed, w=202\",\"Find(1)=4, Find(3)=4, Add (1,3)=63 Failed, w=202\",\"Find(2)=4, Find(6)=4, Add (2,6)=66 Failed, w=202\",\"Find(1)=4, Find(5)=4, Add (1,5)=69 Failed, w=202\",\"Find(0)=4, Find(2)=4, Add (0,2)=79 Failed, w=202\",\"Find(2)=4, Find(3)=4, Add (2,3)=82 Failed, w=202\",\"Find(0)=4, Find(3)=4, Add (0,3)=89 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,3,89],[0,4,55],[0,5,62],[0,6,60],[1,2,50],[1,3,63],[1,5,69],[1,6,60],[2,3,82],[2,5,43],[2,6,66],[3,4,33],[3,5,45],[4,5,18],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(4,5)=18,(3,4)=33,(2,5)=43,(3,5)=45,(1,2)=50,(0,4)=55,(0,6)=60,(1,6)=60,(0,5)=62,(1,3)=63,(2,6)=66,(1,5)=69,(0,2)=79,(2,3)=82,(0,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(5)=4, Add (2,5)=43 Succeeded, w=97\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=45 Failed, w=97\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(2)=4, Add (1,2)=50 Succeeded, w=147\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=55 Succeeded, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=60 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=60 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=62 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=63 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=66 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=69 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=79 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=82 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=89 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,97],[0,2,51],[0,3,97],[0,4,16],[2,4,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,51],[0,3,97],[0,4,16],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,51],[0,3,97],[0,4,16],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,51],[0,3,97],[0,4,16],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16, w=16\",\"Add (0,2)=51, w=67\",\"Add (0,1)=97, w=164\",\"Add (0,3)=97, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,51],[0,3,97],[0,4,16],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16 Succeeded, w=16\",\"Add (0,2)=51 Succeeded, w=67\",\"Add (2,4)=88 Failed, w=67\",\"Add (0,1)=97 Succeeded, w=164\",\"Add (0,3)=97 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,51],[0,3,97],[0,4,16],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(0,2)=51,(2,4)=88,(0,1)=97,(0,3)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=67\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=67\",\"Find(0)=0, Find(1)=1, Add (0,1)=97 Succeeded, w=164\",\"Find(0)=0, Find(3)=3, Add (0,3)=97 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,51],[0,3,97],[0,4,16],[2,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(0,2)=51,(2,4)=88,(0,1)=97,(0,3)=97]\",\"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: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=97 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=97 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,4],[0,3,36],[0,4,15],[1,2,47],[2,3,75],[3,4,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,4],[0,3,36],[0,4,15],[1,2,47],[2,3,75],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,4],[0,3,36],[0,4,15],[1,2,47],[2,3,75],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,4],[0,3,36],[0,4,15],[1,2,47],[2,3,75],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (0,4)=15, w=19\",\"Add (0,1)=36, w=55\",\"Add (0,3)=36, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,4],[0,3,36],[0,4,15],[1,2,47],[2,3,75],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (0,4)=15 Succeeded, w=19\",\"Add (0,1)=36 Succeeded, w=55\",\"Add (0,3)=36 Succeeded, w=91\",\"Add (1,2)=47 Failed, w=91\",\"Add (3,4)=73 Failed, w=91\",\"Add (2,3)=75 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,4],[0,3,36],[0,4,15],[1,2,47],[2,3,75],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(0,4)=15,(0,1)=36,(0,3)=36,(1,2)=47,(3,4)=73,(2,3)=75]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=55\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=91\",\"Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,4],[0,3,36],[0,4,15],[1,2,47],[2,3,75],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(0,4)=15,(0,1)=36,(0,3)=36,(1,2)=47,(3,4)=73,(2,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,88],[0,2,91],[1,2,30],[1,4,90],[2,3,61],[3,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,91],[1,2,30],[1,4,90],[2,3,61],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,91],[1,2,30],[1,4,90],[2,3,61],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,91],[1,2,30],[1,4,90],[2,3,61],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30, w=30\",\"Add (3,4)=59, w=89\",\"Add (2,3)=61, w=150\",\"Add (0,1)=88, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,91],[1,2,30],[1,4,90],[2,3,61],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30 Succeeded, w=30\",\"Add (3,4)=59 Succeeded, w=89\",\"Add (2,3)=61 Succeeded, w=150\",\"Add (0,1)=88 Succeeded, w=238\",\"Add (1,4)=90 Failed, w=238\",\"Add (0,2)=91 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,91],[1,2,30],[1,4,90],[2,3,61],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(3,4)=59,(2,3)=61,(0,1)=88,(1,4)=90,(0,2)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Find(3)=3, Find(4)=4, Add (3,4)=59 Succeeded, w=89\",\"Find(2)=1, Find(3)=3, Add (2,3)=61 Succeeded, w=150\",\"Find(0)=0, Find(1)=1, Add (0,1)=88 Succeeded, w=238\",\"Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=238\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,91],[1,2,30],[1,4,90],[2,3,61],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(3,4)=59,(2,3)=61,(0,1)=88,(1,4)=90,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=59 Succeeded, w=89\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(3)=3, Add (2,3)=61 Succeeded, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=88 Succeeded, w=238\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=238\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,67],[0,3,44],[1,2,16],[1,3,89],[1,4,58],[3,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,67],[0,3,44],[1,2,16],[1,3,89],[1,4,58],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,67],[0,3,44],[1,2,16],[1,3,89],[1,4,58],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,67],[0,3,44],[1,2,16],[1,3,89],[1,4,58],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16, w=16\",\"Add (3,4)=18, w=34\",\"Add (0,3)=44, w=78\",\"Add (1,4)=58, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,67],[0,3,44],[1,2,16],[1,3,89],[1,4,58],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16 Succeeded, w=16\",\"Add (3,4)=18 Succeeded, w=34\",\"Add (0,3)=44 Succeeded, w=78\",\"Add (1,4)=58 Succeeded, w=136\",\"Add (0,2)=67 Failed, w=136\",\"Add (0,1)=89 Failed, w=136\",\"Add (1,3)=89 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,67],[0,3,44],[1,2,16],[1,3,89],[1,4,58],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(3,4)=18,(0,3)=44,(1,4)=58,(0,2)=67,(0,1)=89,(1,3)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=34\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=78\",\"Find(1)=1, Find(4)=3, Add (1,4)=58 Succeeded, w=136\",\"Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=136\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=136\",\"Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,67],[0,3,44],[1,2,16],[1,3,89],[1,4,58],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(3,4)=18,(0,3)=44,(1,4)=58,(0,2)=67,(0,1)=89,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=78\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=58 Succeeded, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,48],[0,2,32],[0,4,86],[1,4,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,32],[0,4,86],[1,4,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,32],[0,4,86],[1,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,32],[0,4,86],[1,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=32, w=32\",\"Add (1,4)=47, w=79\",\"Add (0,1)=48, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,32],[0,4,86],[1,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=32 Succeeded, w=32\",\"Add (1,4)=47 Succeeded, w=79\",\"Add (0,1)=48 Succeeded, w=127\",\"Add (0,4)=86 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,32],[0,4,86],[1,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=32,(1,4)=47,(0,1)=48,(0,4)=86]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=32\",\"Find(1)=1, Find(4)=4, Add (1,4)=47 Succeeded, w=79\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=127\",\"Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,32],[0,4,86],[1,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=32,(1,4)=47,(0,1)=48,(0,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=47 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,71],[0,4,43],[1,2,31],[1,3,21],[1,4,70],[2,3,53],[2,4,2],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,4,43],[1,2,31],[1,3,21],[1,4,70],[2,3,53],[2,4,2],[3,4,34]]}",
"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\":[[0,1,66],[0,2,71],[0,4,43],[1,2,31],[1,3,21],[1,4,70],[2,3,53],[2,4,2],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,4,43],[1,2,31],[1,3,21],[1,4,70],[2,3,53],[2,4,2],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (1,3)=21, w=23\",\"Add (1,2)=31, w=54\",\"Add (0,4)=43, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,71],[0,4,43],[1,2,31],[1,3,21],[1,4,70],[2,3,53],[2,4,2],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (1,3)=21 Succeeded, w=23\",\"Add (1,2)=31 Succeeded, w=54\",\"Add (3,4)=34 Failed, w=54\",\"Add (0,4)=43 Succeeded, w=97\",\"Add (2,3)=53 Failed, w=97\",\"Add (0,1)=66 Failed, w=97\",\"Add (1,4)=70 Failed, w=97\",\"Add (0,2)=71 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\":[[0,1,66],[0,2,71],[0,4,43],[1,2,31],[1,3,21],[1,4,70],[2,3,53],[2,4,2],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,3)=21,(1,2)=31,(3,4)=34,(0,4)=43,(2,3)=53,(0,1)=66,(1,4)=70,(0,2)=71]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=54\",\"Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=54\",\"Find(0)=0, Find(4)=1, Add (0,4)=43 Succeeded, w=97\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=97\",\"Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=97\",\"Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=97\",\"Find(0)=1, Find(2)=1, Add (0,2)=71 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\":[[0,1,66],[0,2,71],[0,4,43],[1,2,31],[1,3,21],[1,4,70],[2,3,53],[2,4,2],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,3)=21,(1,2)=31,(3,4)=34,(0,4)=43,(2,3)=53,(0,1)=66,(1,4)=70,(0,2)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=43 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=71 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,74],[0,3,27],[1,2,43],[1,3,89],[2,3,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,27],[1,2,43],[1,3,89],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,27],[1,2,43],[1,3,89],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,27],[1,2,43],[1,3,89],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=27, w=27\",\"Add (2,3)=31, w=58\",\"Add (1,2)=43, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,27],[1,2,43],[1,3,89],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=27 Succeeded, w=27\",\"Add (2,3)=31 Succeeded, w=58\",\"Add (1,2)=43 Succeeded, w=101\",\"Add (0,2)=74 Failed, w=101\",\"Add (1,3)=89 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,27],[1,2,43],[1,3,89],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=27,(2,3)=31,(1,2)=43,(0,2)=74,(1,3)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=27\",\"Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=58\",\"Find(1)=1, Find(2)=0, Add (1,2)=43 Succeeded, w=101\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=101\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,74],[0,3,27],[1,2,43],[1,3,89],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=27,(2,3)=31,(1,2)=43,(0,2)=74,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=43 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,70],[0,2,47],[0,3,33],[0,4,14],[1,2,29],[1,3,63],[1,4,15],[2,3,64],[2,4,47],[3,4,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,47],[0,3,33],[0,4,14],[1,2,29],[1,3,63],[1,4,15],[2,3,64],[2,4,47],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,47],[0,3,33],[0,4,14],[1,2,29],[1,3,63],[1,4,15],[2,3,64],[2,4,47],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,47],[0,3,33],[0,4,14],[1,2,29],[1,3,63],[1,4,15],[2,3,64],[2,4,47],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14, w=14\",\"Add (1,4)=15, w=29\",\"Add (1,2)=29, w=58\",\"Add (0,3)=33, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,47],[0,3,33],[0,4,14],[1,2,29],[1,3,63],[1,4,15],[2,3,64],[2,4,47],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14 Succeeded, w=14\",\"Add (1,4)=15 Succeeded, w=29\",\"Add (1,2)=29 Succeeded, w=58\",\"Add (0,3)=33 Succeeded, w=91\",\"Add (0,2)=47 Failed, w=91\",\"Add (2,4)=47 Failed, w=91\",\"Add (3,4)=60 Failed, w=91\",\"Add (1,3)=63 Failed, w=91\",\"Add (2,3)=64 Failed, w=91\",\"Add (0,1)=70 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,47],[0,3,33],[0,4,14],[1,2,29],[1,3,63],[1,4,15],[2,3,64],[2,4,47],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(1,4)=15,(1,2)=29,(0,3)=33,(0,2)=47,(2,4)=47,(3,4)=60,(1,3)=63,(2,3)=64,(0,1)=70]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Find(1)=1, Find(4)=0, Add (1,4)=15 Succeeded, w=29\",\"Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=58\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=91\",\"Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=91\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=91\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=91\",\"Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,47],[0,3,33],[0,4,14],[1,2,29],[1,3,63],[1,4,15],[2,3,64],[2,4,47],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(1,4)=15,(1,2)=29,(0,3)=33,(0,2)=47,(2,4)=47,(3,4)=60,(1,3)=63,(2,3)=64,(0,1)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,30],[0,2,56],[0,3,0],[1,3,90],[1,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,56],[0,3,0],[1,3,90],[1,4,27]]}",
"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\":[[0,1,30],[0,2,56],[0,3,0],[1,3,90],[1,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,56],[0,3,0],[1,3,90],[1,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,4)=27, w=27\",\"Add (0,1)=30, w=57\",\"Add (0,2)=56, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,56],[0,3,0],[1,3,90],[1,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,4)=27 Succeeded, w=27\",\"Add (0,1)=30 Succeeded, w=57\",\"Add (0,2)=56 Succeeded, w=113\",\"Add (1,3)=90 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\":[[0,1,30],[0,2,56],[0,3,0],[1,3,90],[1,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,4)=27,(0,1)=30,(0,2)=56,(1,3)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=57\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 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\":[[0,1,30],[0,2,56],[0,3,0],[1,3,90],[1,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,4)=27,(0,1)=30,(0,2)=56,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,51],[0,2,90],[0,3,64],[0,4,63],[0,5,38],[0,6,2],[1,2,10],[1,4,13],[1,6,4],[2,3,28],[2,5,76],[2,6,13],[3,4,5],[3,5,9],[3,6,53],[4,5,2],[4,6,81],[5,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,90],[0,3,64],[0,4,63],[0,5,38],[0,6,2],[1,2,10],[1,4,13],[1,6,4],[2,3,28],[2,5,76],[2,6,13],[3,4,5],[3,5,9],[3,6,53],[4,5,2],[4,6,81],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":24}",
"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],[0,2,90],[0,3,64],[0,4,63],[0,5,38],[0,6,2],[1,2,10],[1,4,13],[1,6,4],[2,3,28],[2,5,76],[2,6,13],[3,4,5],[3,5,9],[3,6,53],[4,5,2],[4,6,81],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":24}",
"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],[0,2,90],[0,3,64],[0,4,63],[0,5,38],[0,6,2],[1,2,10],[1,4,13],[1,6,4],[2,3,28],[2,5,76],[2,6,13],[3,4,5],[3,5,9],[3,6,53],[4,5,2],[4,6,81],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (0,6)=2, w=3\",\"Add (4,5)=2, w=5\",\"Add (1,6)=4, w=9\",\"Add (3,4)=5, w=14\",\"Add (1,2)=10, w=24\"],\"Answer\":24}",
"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],[0,2,90],[0,3,64],[0,4,63],[0,5,38],[0,6,2],[1,2,10],[1,4,13],[1,6,4],[2,3,28],[2,5,76],[2,6,13],[3,4,5],[3,5,9],[3,6,53],[4,5,2],[4,6,81],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (0,6)=2 Succeeded, w=3\",\"Add (4,5)=2 Succeeded, w=5\",\"Add (1,6)=4 Succeeded, w=9\",\"Add (3,4)=5 Succeeded, w=14\",\"Add (3,5)=9 Failed, w=14\",\"Add (1,2)=10 Succeeded, w=24\",\"Add (1,4)=13 Failed, w=24\",\"Add (2,6)=13 Failed, w=24\",\"Add (2,3)=28 Failed, w=24\",\"Add (0,5)=38 Failed, w=24\",\"Add (0,1)=51 Failed, w=24\",\"Add (3,6)=53 Failed, w=24\",\"Add (0,4)=63 Failed, w=24\",\"Add (0,3)=64 Failed, w=24\",\"Add (2,5)=76 Failed, w=24\",\"Add (4,6)=81 Failed, w=24\",\"Add (0,2)=90 Failed, w=24\"],\"Answer\":24}",
"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],[0,2,90],[0,3,64],[0,4,63],[0,5,38],[0,6,2],[1,2,10],[1,4,13],[1,6,4],[2,3,28],[2,5,76],[2,6,13],[3,4,5],[3,5,9],[3,6,53],[4,5,2],[4,6,81],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(0,6)=2,(4,5)=2,(1,6)=4,(3,4)=5,(3,5)=9,(1,2)=10,(1,4)=13,(2,6)=13,(2,3)=28,(0,5)=38,(0,1)=51,(3,6)=53,(0,4)=63,(0,3)=64,(2,5)=76,(4,6)=81,(0,2)=90]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=5, Add (0,6)=2 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=5\",\"Find(1)=1, Find(6)=5, Add (1,6)=4 Succeeded, w=9\",\"Find(3)=3, Find(4)=5, Add (3,4)=5 Succeeded, w=14\",\"Find(3)=5, Find(5)=5, Add (3,5)=9 Failed, w=14\",\"Find(1)=5, Find(2)=2, Add (1,2)=10 Succeeded, w=24\",\"Find(1)=5, Find(4)=5, Add (1,4)=13 Failed, w=24\",\"Find(2)=5, Find(6)=5, Add (2,6)=13 Failed, w=24\",\"Find(2)=5, Find(3)=5, Add (2,3)=28 Failed, w=24\",\"Find(0)=5, Find(5)=5, Add (0,5)=38 Failed, w=24\",\"Find(0)=5, Find(1)=5, Add (0,1)=51 Failed, w=24\",\"Find(3)=5, Find(6)=5, Add (3,6)=53 Failed, w=24\",\"Find(0)=5, Find(4)=5, Add (0,4)=63 Failed, w=24\",\"Find(0)=5, Find(3)=5, Add (0,3)=64 Failed, w=24\",\"Find(2)=5, Find(5)=5, Add (2,5)=76 Failed, w=24\",\"Find(4)=5, Find(6)=5, Add (4,6)=81 Failed, w=24\",\"Find(0)=5, Find(2)=5, Add (0,2)=90 Failed, w=24\"],\"Answer\":24}",
"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],[0,2,90],[0,3,64],[0,4,63],[0,5,38],[0,6,2],[1,2,10],[1,4,13],[1,6,4],[2,3,28],[2,5,76],[2,6,13],[3,4,5],[3,5,9],[3,6,53],[4,5,2],[4,6,81],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(0,6)=2,(4,5)=2,(1,6)=4,(3,4)=5,(3,5)=9,(1,2)=10,(1,4)=13,(2,6)=13,(2,3)=28,(0,5)=38,(0,1)=51,(3,6)=53,(0,4)=63,(0,3)=64,(2,5)=76,(4,6)=81,(0,2)=90]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=2 Succeeded, w=3\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=5\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=4 Succeeded, w=9\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=3, Find(4)=5, Add (3,4)=5 Succeeded, w=14\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(5)=5, Add (3,5)=9 Failed, w=14\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(2)=2, Add (1,2)=10 Succeeded, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=5, Add (1,4)=13 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=13 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=28 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(5)=5, Add (0,5)=38 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(1)=5, Add (0,1)=51 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=53 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=63 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=64 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=76 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(6)=5, Add (4,6)=81 Failed, w=24\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(2)=5, Add (0,2)=90 Failed, w=24\"],\"Answer\":24}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,79],[0,3,43],[1,2,73],[2,3,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,43],[1,2,73],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,43],[1,2,73],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,43],[1,2,73],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=43, w=43\",\"Add (2,3)=71, w=114\",\"Add (1,2)=73, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,43],[1,2,73],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=43 Succeeded, w=43\",\"Add (2,3)=71 Succeeded, w=114\",\"Add (1,2)=73 Succeeded, w=187\",\"Add (0,2)=79 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,43],[1,2,73],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=43,(2,3)=71,(1,2)=73,(0,2)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=43\",\"Find(2)=2, Find(3)=0, Add (2,3)=71 Succeeded, w=114\",\"Find(1)=1, Find(2)=0, Add (1,2)=73 Succeeded, w=187\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,43],[1,2,73],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=43,(2,3)=71,(1,2)=73,(0,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=71 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=73 Succeeded, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,2,49],[1,2,11],[1,3,76],[2,3,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,49],[1,2,11],[1,3,76],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,49],[1,2,11],[1,3,76],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,49],[1,2,11],[1,3,76],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (2,3)=42, w=53\",\"Add (0,1)=49, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,49],[1,2,11],[1,3,76],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (2,3)=42 Succeeded, w=53\",\"Add (0,1)=49 Succeeded, w=102\",\"Add (0,2)=49 Failed, w=102\",\"Add (1,3)=76 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,49],[1,2,11],[1,3,76],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(2,3)=42,(0,1)=49,(0,2)=49,(1,3)=76]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(2)=1, Find(3)=3, Add (2,3)=42 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=102\",\"Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=102\",\"Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,49],[1,2,11],[1,3,76],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(2,3)=42,(0,1)=49,(0,2)=49,(1,3)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=42 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,2,60],[0,3,78],[1,2,79],[1,3,24],[1,4,64],[2,3,11],[2,4,54],[3,4,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,60],[0,3,78],[1,2,79],[1,3,24],[1,4,64],[2,3,11],[2,4,54],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,60],[0,3,78],[1,2,79],[1,3,24],[1,4,64],[2,3,11],[2,4,54],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,60],[0,3,78],[1,2,79],[1,3,24],[1,4,64],[2,3,11],[2,4,54],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (1,3)=24, w=35\",\"Add (3,4)=30, w=65\",\"Add (0,1)=49, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,60],[0,3,78],[1,2,79],[1,3,24],[1,4,64],[2,3,11],[2,4,54],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (1,3)=24 Succeeded, w=35\",\"Add (3,4)=30 Succeeded, w=65\",\"Add (0,1)=49 Succeeded, w=114\",\"Add (2,4)=54 Failed, w=114\",\"Add (0,2)=60 Failed, w=114\",\"Add (1,4)=64 Failed, w=114\",\"Add (0,3)=78 Failed, w=114\",\"Add (1,2)=79 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,60],[0,3,78],[1,2,79],[1,3,24],[1,4,64],[2,3,11],[2,4,54],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(1,3)=24,(3,4)=30,(0,1)=49,(2,4)=54,(0,2)=60,(1,4)=64,(0,3)=78,(1,2)=79]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=35\",\"Find(3)=2, Find(4)=4, Add (3,4)=30 Succeeded, w=65\",\"Find(0)=0, Find(1)=2, Add (0,1)=49 Succeeded, w=114\",\"Find(2)=2, Find(4)=2, Add (2,4)=54 Failed, w=114\",\"Find(0)=2, Find(2)=2, Add (0,2)=60 Failed, w=114\",\"Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=114\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=114\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,60],[0,3,78],[1,2,79],[1,3,24],[1,4,64],[2,3,11],[2,4,54],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(1,3)=24,(3,4)=30,(0,1)=49,(2,4)=54,(0,2)=60,(1,4)=64,(0,3)=78,(1,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=30 Succeeded, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=49 Succeeded, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=54 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=60 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,3,62],[0,4,95],[0,5,7],[1,2,52],[1,3,22],[1,5,1],[2,5,29],[2,6,74],[3,4,81],[3,5,44],[4,5,86],[5,6,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,3,62],[0,4,95],[0,5,7],[1,2,52],[1,3,22],[1,5,1],[2,5,29],[2,6,74],[3,4,81],[3,5,44],[4,5,86],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,3,62],[0,4,95],[0,5,7],[1,2,52],[1,3,22],[1,5,1],[2,5,29],[2,6,74],[3,4,81],[3,5,44],[4,5,86],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (3,4)\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,3,62],[0,4,95],[0,5,7],[1,2,52],[1,3,22],[1,5,1],[2,5,29],[2,6,74],[3,4,81],[3,5,44],[4,5,86],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (0,5)=7, w=8\",\"Add (1,3)=22, w=30\",\"Add (2,5)=29, w=59\",\"Add (2,6)=74, w=133\",\"Add (3,4)=81, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,3,62],[0,4,95],[0,5,7],[1,2,52],[1,3,22],[1,5,1],[2,5,29],[2,6,74],[3,4,81],[3,5,44],[4,5,86],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (0,5)=7 Succeeded, w=8\",\"Add (1,3)=22 Succeeded, w=30\",\"Add (2,5)=29 Succeeded, w=59\",\"Add (0,1)=43 Failed, w=59\",\"Add (3,5)=44 Failed, w=59\",\"Add (1,2)=52 Failed, w=59\",\"Add (0,3)=62 Failed, w=59\",\"Add (2,6)=74 Succeeded, w=133\",\"Add (3,4)=81 Succeeded, w=214\",\"Add (4,5)=86 Failed, w=214\",\"Add (0,4)=95 Failed, w=214\",\"Add (5,6)=98 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,3,62],[0,4,95],[0,5,7],[1,2,52],[1,3,22],[1,5,1],[2,5,29],[2,6,74],[3,4,81],[3,5,44],[4,5,86],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,5)=7,(1,3)=22,(2,5)=29,(0,1)=43,(3,5)=44,(1,2)=52,(0,3)=62,(2,6)=74,(3,4)=81,(4,5)=86,(0,4)=95,(5,6)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=1, Add (0,5)=7 Succeeded, w=8\",\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=30\",\"Find(2)=2, Find(5)=1, Add (2,5)=29 Succeeded, w=59\",\"Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=59\",\"Find(3)=1, Find(5)=1, Add (3,5)=44 Failed, w=59\",\"Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=59\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=59\",\"Find(2)=1, Find(6)=6, Add (2,6)=74 Succeeded, w=133\",\"Find(3)=1, Find(4)=4, Add (3,4)=81 Succeeded, w=214\",\"Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=214\",\"Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=214\",\"Find(5)=1, Find(6)=1, Add (5,6)=98 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,3,62],[0,4,95],[0,5,7],[1,2,52],[1,3,22],[1,5,1],[2,5,29],[2,6,74],[3,4,81],[3,5,44],[4,5,86],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,5)=7,(1,3)=22,(2,5)=29,(0,1)=43,(3,5)=44,(1,2)=52,(0,3)=62,(2,6)=74,(3,4)=81,(4,5)=86,(0,4)=95,(5,6)=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)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(5)=1, Add (0,5)=7 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(2)=2, Find(5)=1, Add (2,5)=29 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(0)=1, Find(1)=1, Add (0,1)=43 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(3)=1, Find(5)=1, Add (3,5)=44 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=74 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=81 Succeeded, w=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=214\",\"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=214\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=98 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,50],[0,3,100],[0,5,43],[1,2,24],[1,4,14],[2,3,95],[2,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,100],[0,5,43],[1,2,24],[1,4,14],[2,3,95],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,100],[0,5,43],[1,2,24],[1,4,14],[2,3,95],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,100],[0,5,43],[1,2,24],[1,4,14],[2,3,95],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (1,4)=14, w=19\",\"Add (0,5)=43, w=62\",\"Add (0,2)=50, w=112\",\"Add (2,3)=95, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,100],[0,5,43],[1,2,24],[1,4,14],[2,3,95],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (1,4)=14 Succeeded, w=19\",\"Add (1,2)=24 Failed, w=19\",\"Add (0,5)=43 Succeeded, w=62\",\"Add (0,2)=50 Succeeded, w=112\",\"Add (2,3)=95 Succeeded, w=207\",\"Add (0,3)=100 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,100],[0,5,43],[1,2,24],[1,4,14],[2,3,95],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,4)=14,(1,2)=24,(0,5)=43,(0,2)=50,(2,3)=95,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=2, Add (1,4)=14 Succeeded, w=19\",\"Find(1)=2, Find(2)=2, Add (1,2)=24 Failed, w=19\",\"Find(0)=0, Find(5)=5, Add (0,5)=43 Succeeded, w=62\",\"Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=112\",\"Find(2)=0, Find(3)=3, Add (2,3)=95 Succeeded, w=207\",\"Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,100],[0,5,43],[1,2,24],[1,4,14],[2,3,95],[2,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,4)=14,(1,2)=24,(0,5)=43,(0,2)=50,(2,3)=95,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=14 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=2, Find(2)=2, Add (1,2)=24 Failed, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=43 Succeeded, w=62\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 2, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=112\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=95 Succeeded, w=207\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,25],[0,3,1],[0,4,22],[1,2,91],[1,3,18],[1,4,54],[2,3,97],[3,4,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,1],[0,4,22],[1,2,91],[1,3,18],[1,4,54],[2,3,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,1],[0,4,22],[1,2,91],[1,3,18],[1,4,54],[2,3,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,1],[0,4,22],[1,2,91],[1,3,18],[1,4,54],[2,3,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (1,3)=18, w=19\",\"Add (0,4)=22, w=41\",\"Add (0,2)=25, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,1],[0,4,22],[1,2,91],[1,3,18],[1,4,54],[2,3,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,3)=18 Succeeded, w=19\",\"Add (0,4)=22 Succeeded, w=41\",\"Add (0,2)=25 Succeeded, w=66\",\"Add (1,4)=54 Failed, w=66\",\"Add (1,2)=91 Failed, w=66\",\"Add (2,3)=97 Failed, w=66\",\"Add (3,4)=98 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,1],[0,4,22],[1,2,91],[1,3,18],[1,4,54],[2,3,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=18,(0,4)=22,(0,2)=25,(1,4)=54,(1,2)=91,(2,3)=97,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=0, Add (1,3)=18 Succeeded, w=19\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=66\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=66\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=66\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=66\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,3,1],[0,4,22],[1,2,91],[1,3,18],[1,4,54],[2,3,97],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=18,(0,4)=22,(0,2)=25,(1,4)=54,(1,2)=91,(2,3)=97,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=18 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,26],[0,2,60],[0,4,4],[0,5,91],[0,6,12],[1,2,49],[1,3,38],[1,4,29],[1,5,77],[1,6,42],[2,3,81],[2,4,8],[2,5,23],[2,6,42],[3,4,58],[3,5,30],[3,6,15],[4,5,86],[4,6,92],[5,6,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,60],[0,4,4],[0,5,91],[0,6,12],[1,2,49],[1,3,38],[1,4,29],[1,5,77],[1,6,42],[2,3,81],[2,4,8],[2,5,23],[2,6,42],[3,4,58],[3,5,30],[3,6,15],[4,5,86],[4,6,92],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,60],[0,4,4],[0,5,91],[0,6,12],[1,2,49],[1,3,38],[1,4,29],[1,5,77],[1,6,42],[2,3,81],[2,4,8],[2,5,23],[2,6,42],[3,4,58],[3,5,30],[3,6,15],[4,5,86],[4,6,92],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,60],[0,4,4],[0,5,91],[0,6,12],[1,2,49],[1,3,38],[1,4,29],[1,5,77],[1,6,42],[2,3,81],[2,4,8],[2,5,23],[2,6,42],[3,4,58],[3,5,30],[3,6,15],[4,5,86],[4,6,92],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (2,4)=8, w=12\",\"Add (0,6)=12, w=24\",\"Add (3,6)=15, w=39\",\"Add (2,5)=23, w=62\",\"Add (0,1)=26, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,60],[0,4,4],[0,5,91],[0,6,12],[1,2,49],[1,3,38],[1,4,29],[1,5,77],[1,6,42],[2,3,81],[2,4,8],[2,5,23],[2,6,42],[3,4,58],[3,5,30],[3,6,15],[4,5,86],[4,6,92],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (2,4)=8 Succeeded, w=12\",\"Add (0,6)=12 Succeeded, w=24\",\"Add (3,6)=15 Succeeded, w=39\",\"Add (2,5)=23 Succeeded, w=62\",\"Add (0,1)=26 Succeeded, w=88\",\"Add (1,4)=29 Failed, w=88\",\"Add (3,5)=30 Failed, w=88\",\"Add (5,6)=35 Failed, w=88\",\"Add (1,3)=38 Failed, w=88\",\"Add (1,6)=42 Failed, w=88\",\"Add (2,6)=42 Failed, w=88\",\"Add (1,2)=49 Failed, w=88\",\"Add (3,4)=58 Failed, w=88\",\"Add (0,2)=60 Failed, w=88\",\"Add (1,5)=77 Failed, w=88\",\"Add (2,3)=81 Failed, w=88\",\"Add (4,5)=86 Failed, w=88\",\"Add (0,5)=91 Failed, w=88\",\"Add (4,6)=92 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,60],[0,4,4],[0,5,91],[0,6,12],[1,2,49],[1,3,38],[1,4,29],[1,5,77],[1,6,42],[2,3,81],[2,4,8],[2,5,23],[2,6,42],[3,4,58],[3,5,30],[3,6,15],[4,5,86],[4,6,92],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,4)=8,(0,6)=12,(3,6)=15,(2,5)=23,(0,1)=26,(1,4)=29,(3,5)=30,(5,6)=35,(1,3)=38,(1,6)=42,(2,6)=42,(1,2)=49,(3,4)=58,(0,2)=60,(1,5)=77,(2,3)=81,(4,5)=86,(0,5)=91,(4,6)=92]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=0, Add (2,4)=8 Succeeded, w=12\",\"Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=24\",\"Find(3)=3, Find(6)=0, Add (3,6)=15 Succeeded, w=39\",\"Find(2)=0, Find(5)=5, Add (2,5)=23 Succeeded, w=62\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=88\",\"Find(3)=0, Find(5)=0, Add (3,5)=30 Failed, w=88\",\"Find(5)=0, Find(6)=0, Add (5,6)=35 Failed, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=88\",\"Find(1)=0, Find(6)=0, Add (1,6)=42 Failed, w=88\",\"Find(2)=0, Find(6)=0, Add (2,6)=42 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=88\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=88\",\"Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=88\",\"Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=88\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=88\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=88\",\"Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=88\",\"Find(4)=0, Find(6)=0, Add (4,6)=92 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,60],[0,4,4],[0,5,91],[0,6,12],[1,2,49],[1,3,38],[1,4,29],[1,5,77],[1,6,42],[2,3,81],[2,4,8],[2,5,23],[2,6,42],[3,4,58],[3,5,30],[3,6,15],[4,5,86],[4,6,92],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,4)=8,(0,6)=12,(3,6)=15,(2,5)=23,(0,1)=26,(1,4)=29,(3,5)=30,(5,6)=35,(1,3)=38,(1,6)=42,(2,6)=42,(1,2)=49,(3,4)=58,(0,2)=60,(1,5)=77,(2,3)=81,(4,5)=86,(0,5)=91,(4,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(2)=2, Find(4)=0, Add (2,4)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=23 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=30 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=35 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=42 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=42 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=92 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,82],[0,2,69],[0,3,59],[0,4,19],[1,3,99],[2,4,99],[3,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,69],[0,3,59],[0,4,19],[1,3,99],[2,4,99],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,69],[0,3,59],[0,4,19],[1,3,99],[2,4,99],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,69],[0,3,59],[0,4,19],[1,3,99],[2,4,99],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=19, w=19\",\"Add (0,3)=59, w=78\",\"Add (0,2)=69, w=147\",\"Add (0,1)=82, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,69],[0,3,59],[0,4,19],[1,3,99],[2,4,99],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=19 Succeeded, w=19\",\"Add (0,3)=59 Succeeded, w=78\",\"Add (3,4)=59 Failed, w=78\",\"Add (0,2)=69 Succeeded, w=147\",\"Add (0,1)=82 Succeeded, w=229\",\"Add (1,3)=99 Failed, w=229\",\"Add (2,4)=99 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,69],[0,3,59],[0,4,19],[1,3,99],[2,4,99],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=19,(0,3)=59,(3,4)=59,(0,2)=69,(0,1)=82,(1,3)=99,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=59 Succeeded, w=78\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=78\",\"Find(0)=0, Find(2)=2, Add (0,2)=69 Succeeded, w=147\",\"Find(0)=0, Find(1)=1, Add (0,1)=82 Succeeded, w=229\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=229\",\"Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,69],[0,3,59],[0,4,19],[1,3,99],[2,4,99],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=19,(0,3)=59,(3,4)=59,(0,2)=69,(0,1)=82,(1,3)=99,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=59 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=78\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=69 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=82 Succeeded, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,2,52],[0,3,48],[0,4,91],[0,5,74],[1,2,59],[1,3,0],[1,4,1],[1,5,54],[2,3,76],[2,4,23],[3,4,12],[3,5,87],[4,5,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,52],[0,3,48],[0,4,91],[0,5,74],[1,2,59],[1,3,0],[1,4,1],[1,5,54],[2,3,76],[2,4,23],[3,4,12],[3,5,87],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,52],[0,3,48],[0,4,91],[0,5,74],[1,2,59],[1,3,0],[1,4,1],[1,5,54],[2,3,76],[2,4,23],[3,4,12],[3,5,87],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (1,5)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,52],[0,3,48],[0,4,91],[0,5,74],[1,2,59],[1,3,0],[1,4,1],[1,5,54],[2,3,76],[2,4,23],[3,4,12],[3,5,87],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,4)=1, w=1\",\"Add (0,1)=6, w=7\",\"Add (2,4)=23, w=30\",\"Add (1,5)=54, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,52],[0,3,48],[0,4,91],[0,5,74],[1,2,59],[1,3,0],[1,4,1],[1,5,54],[2,3,76],[2,4,23],[3,4,12],[3,5,87],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,4)=1 Succeeded, w=1\",\"Add (0,1)=6 Succeeded, w=7\",\"Add (3,4)=12 Failed, w=7\",\"Add (2,4)=23 Succeeded, w=30\",\"Add (0,3)=48 Failed, w=30\",\"Add (0,2)=52 Failed, w=30\",\"Add (1,5)=54 Succeeded, w=84\",\"Add (1,2)=59 Failed, w=84\",\"Add (4,5)=69 Failed, w=84\",\"Add (0,5)=74 Failed, w=84\",\"Add (2,3)=76 Failed, w=84\",\"Add (3,5)=87 Failed, w=84\",\"Add (0,4)=91 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,52],[0,3,48],[0,4,91],[0,5,74],[1,2,59],[1,3,0],[1,4,1],[1,5,54],[2,3,76],[2,4,23],[3,4,12],[3,5,87],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,4)=1,(0,1)=6,(3,4)=12,(2,4)=23,(0,3)=48,(0,2)=52,(1,5)=54,(1,2)=59,(4,5)=69,(0,5)=74,(2,3)=76,(3,5)=87,(0,4)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Find(3)=1, Find(4)=1, Add (3,4)=12 Failed, w=7\",\"Find(2)=2, Find(4)=1, Add (2,4)=23 Succeeded, w=30\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=30\",\"Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=30\",\"Find(1)=1, Find(5)=5, Add (1,5)=54 Succeeded, w=84\",\"Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=84\",\"Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=84\",\"Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=84\",\"Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=84\",\"Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=84\",\"Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,52],[0,3,48],[0,4,91],[0,5,74],[1,2,59],[1,3,0],[1,4,1],[1,5,54],[2,3,76],[2,4,23],[3,4,12],[3,5,87],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,4)=1,(0,1)=6,(3,4)=12,(2,4)=23,(0,3)=48,(0,2)=52,(1,5)=54,(1,2)=59,(4,5)=69,(0,5)=74,(2,3)=76,(3,5)=87,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=1, Add (3,4)=12 Failed, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=23 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=54 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=69 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,55],[0,2,42],[0,3,41],[1,2,57],[1,3,36],[2,3,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,42],[0,3,41],[1,2,57],[1,3,36],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,42],[0,3,41],[1,2,57],[1,3,36],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,42],[0,3,41],[1,2,57],[1,3,36],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=36, w=36\",\"Add (0,3)=41, w=77\",\"Add (0,2)=42, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,42],[0,3,41],[1,2,57],[1,3,36],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=36 Succeeded, w=36\",\"Add (0,3)=41 Succeeded, w=77\",\"Add (0,2)=42 Succeeded, w=119\",\"Add (0,1)=55 Failed, w=119\",\"Add (1,2)=57 Failed, w=119\",\"Add (2,3)=89 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,42],[0,3,41],[1,2,57],[1,3,36],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=36,(0,3)=41,(0,2)=42,(0,1)=55,(1,2)=57,(2,3)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=36\",\"Find(0)=0, Find(3)=1, Add (0,3)=41 Succeeded, w=77\",\"Find(0)=1, Find(2)=2, Add (0,2)=42 Succeeded, w=119\",\"Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=119\",\"Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=119\",\"Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,42],[0,3,41],[1,2,57],[1,3,36],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=36,(0,3)=41,(0,2)=42,(0,1)=55,(1,2)=57,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=41 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=42 Succeeded, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,4],[0,2,72],[0,3,94],[1,2,83],[1,3,92],[1,4,42],[2,3,49],[2,4,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,72],[0,3,94],[1,2,83],[1,3,92],[1,4,42],[2,3,49],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,72],[0,3,94],[1,2,83],[1,3,92],[1,4,42],[2,3,49],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,72],[0,3,94],[1,2,83],[1,3,92],[1,4,42],[2,3,49],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (1,4)=42, w=46\",\"Add (2,3)=49, w=95\",\"Add (2,4)=52, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,72],[0,3,94],[1,2,83],[1,3,92],[1,4,42],[2,3,49],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (1,4)=42 Succeeded, w=46\",\"Add (2,3)=49 Succeeded, w=95\",\"Add (2,4)=52 Succeeded, w=147\",\"Add (0,2)=72 Failed, w=147\",\"Add (1,2)=83 Failed, w=147\",\"Add (1,3)=92 Failed, w=147\",\"Add (0,3)=94 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,72],[0,3,94],[1,2,83],[1,3,92],[1,4,42],[2,3,49],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,4)=42,(2,3)=49,(2,4)=52,(0,2)=72,(1,2)=83,(1,3)=92,(0,3)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(1)=0, Find(4)=4, Add (1,4)=42 Succeeded, w=46\",\"Find(2)=2, Find(3)=3, Add (2,3)=49 Succeeded, w=95\",\"Find(2)=2, Find(4)=0, Add (2,4)=52 Succeeded, w=147\",\"Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=147\",\"Find(1)=2, Find(2)=2, Add (1,2)=83 Failed, w=147\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=147\",\"Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,72],[0,3,94],[1,2,83],[1,3,92],[1,4,42],[2,3,49],[2,4,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,4)=42,(2,3)=49,(2,4)=52,(0,2)=72,(1,2)=83,(1,3)=92,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=42 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=49 Succeeded, w=95\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=52 Succeeded, w=147\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=147\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(2)=2, Add (1,2)=83 Failed, w=147\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=147\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,38],[0,2,1],[0,3,46],[0,4,95],[0,5,5],[0,7,48],[1,3,53],[1,6,37],[2,3,37],[2,7,6],[3,4,86],[4,6,33],[4,7,99],[5,6,62],[5,7,86],[6,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,46],[0,4,95],[0,5,5],[0,7,48],[1,3,53],[1,6,37],[2,3,37],[2,7,6],[3,4,86],[4,6,33],[4,7,99],[5,6,62],[5,7,86],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,46],[0,4,95],[0,5,5],[0,7,48],[1,3,53],[1,6,37],[2,3,37],[2,7,6],[3,4,86],[4,6,33],[4,7,99],[5,6,62],[5,7,86],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (2,7)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,46],[0,4,95],[0,5,5],[0,7,48],[1,3,53],[1,6,37],[2,3,37],[2,7,6],[3,4,86],[4,6,33],[4,7,99],[5,6,62],[5,7,86],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,5)=5, w=6\",\"Add (2,7)=6, w=12\",\"Add (4,6)=33, w=45\",\"Add (1,6)=37, w=82\",\"Add (2,3)=37, w=119\",\"Add (0,1)=38, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,46],[0,4,95],[0,5,5],[0,7,48],[1,3,53],[1,6,37],[2,3,37],[2,7,6],[3,4,86],[4,6,33],[4,7,99],[5,6,62],[5,7,86],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,5)=5 Succeeded, w=6\",\"Add (2,7)=6 Succeeded, w=12\",\"Add (4,6)=33 Succeeded, w=45\",\"Add (1,6)=37 Succeeded, w=82\",\"Add (2,3)=37 Succeeded, w=119\",\"Add (0,1)=38 Succeeded, w=157\",\"Add (0,3)=46 Failed, w=157\",\"Add (0,7)=48 Failed, w=157\",\"Add (6,7)=49 Failed, w=157\",\"Add (1,3)=53 Failed, w=157\",\"Add (5,6)=62 Failed, w=157\",\"Add (3,4)=86 Failed, w=157\",\"Add (5,7)=86 Failed, w=157\",\"Add (0,4)=95 Failed, w=157\",\"Add (4,7)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,46],[0,4,95],[0,5,5],[0,7,48],[1,3,53],[1,6,37],[2,3,37],[2,7,6],[3,4,86],[4,6,33],[4,7,99],[5,6,62],[5,7,86],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,5)=5,(2,7)=6,(4,6)=33,(1,6)=37,(2,3)=37,(0,1)=38,(0,3)=46,(0,7)=48,(6,7)=49,(1,3)=53,(5,6)=62,(3,4)=86,(5,7)=86,(0,4)=95,(4,7)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=6\",\"Find(2)=0, Find(7)=7, Add (2,7)=6 Succeeded, w=12\",\"Find(4)=4, Find(6)=6, Add (4,6)=33 Succeeded, w=45\",\"Find(1)=1, Find(6)=4, Add (1,6)=37 Succeeded, w=82\",\"Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=119\",\"Find(0)=0, Find(1)=4, Add (0,1)=38 Succeeded, w=157\",\"Find(0)=0, Find(3)=0, Add (0,3)=46 Failed, w=157\",\"Find(0)=0, Find(7)=0, Add (0,7)=48 Failed, w=157\",\"Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=157\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=157\",\"Find(5)=0, Find(6)=0, Add (5,6)=62 Failed, w=157\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=157\",\"Find(5)=0, Find(7)=0, Add (5,7)=86 Failed, w=157\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=157\",\"Find(4)=0, Find(7)=0, Add (4,7)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,1],[0,3,46],[0,4,95],[0,5,5],[0,7,48],[1,3,53],[1,6,37],[2,3,37],[2,7,6],[3,4,86],[4,6,33],[4,7,99],[5,6,62],[5,7,86],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,5)=5,(2,7)=6,(4,6)=33,(1,6)=37,(2,3)=37,(0,1)=38,(0,3)=46,(0,7)=48,(6,7)=49,(1,3)=53,(5,6)=62,(3,4)=86,(5,7)=86,(0,4)=95,(4,7)=99]\",\"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: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4, 7: 0}, Find(4)=4, Find(6)=6, Add (4,6)=33 Succeeded, w=45\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4, 7: 0}, Find(1)=1, Find(6)=4, Add (1,6)=37 Succeeded, w=82\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 4, 5: 0, 6: 4, 7: 0}, Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=119\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(1)=4, Add (0,1)=38 Succeeded, w=157\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=46 Failed, w=157\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=48 Failed, w=157\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=157\",\"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)=53 Failed, w=157\",\"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)=62 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=157\",\"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)=86 Failed, w=157\",\"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)=95 Failed, w=157\",\"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)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,86],[0,2,43],[1,2,27],[1,5,98],[2,4,85],[2,5,81],[2,6,82],[2,7,62],[3,4,75],[3,7,15],[4,6,16],[4,7,60],[5,6,33],[5,7,11],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,43],[1,2,27],[1,5,98],[2,4,85],[2,5,81],[2,6,82],[2,7,62],[3,4,75],[3,7,15],[4,6,16],[4,7,60],[5,6,33],[5,7,11],[6,7,8]]}",
"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\":[[0,1,86],[0,2,43],[1,2,27],[1,5,98],[2,4,85],[2,5,81],[2,6,82],[2,7,62],[3,4,75],[3,7,15],[4,6,16],[4,7,60],[5,6,33],[5,7,11],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (5,7)\",\"Add (3,7)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (2,7)\"],\"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\":[[0,1,86],[0,2,43],[1,2,27],[1,5,98],[2,4,85],[2,5,81],[2,6,82],[2,7,62],[3,4,75],[3,7,15],[4,6,16],[4,7,60],[5,6,33],[5,7,11],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8, w=8\",\"Add (5,7)=11, w=19\",\"Add (3,7)=15, w=34\",\"Add (4,6)=16, w=50\",\"Add (1,2)=27, w=77\",\"Add (0,2)=43, w=120\",\"Add (2,7)=62, 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\":[[0,1,86],[0,2,43],[1,2,27],[1,5,98],[2,4,85],[2,5,81],[2,6,82],[2,7,62],[3,4,75],[3,7,15],[4,6,16],[4,7,60],[5,6,33],[5,7,11],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8 Succeeded, w=8\",\"Add (5,7)=11 Succeeded, w=19\",\"Add (3,7)=15 Succeeded, w=34\",\"Add (4,6)=16 Succeeded, w=50\",\"Add (1,2)=27 Succeeded, w=77\",\"Add (5,6)=33 Failed, w=77\",\"Add (0,2)=43 Succeeded, w=120\",\"Add (4,7)=60 Failed, w=120\",\"Add (2,7)=62 Succeeded, w=182\",\"Add (3,4)=75 Failed, w=182\",\"Add (2,5)=81 Failed, w=182\",\"Add (2,6)=82 Failed, w=182\",\"Add (2,4)=85 Failed, w=182\",\"Add (0,1)=86 Failed, w=182\",\"Add (1,5)=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\":[[0,1,86],[0,2,43],[1,2,27],[1,5,98],[2,4,85],[2,5,81],[2,6,82],[2,7,62],[3,4,75],[3,7,15],[4,6,16],[4,7,60],[5,6,33],[5,7,11],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(5,7)=11,(3,7)=15,(4,6)=16,(1,2)=27,(5,6)=33,(0,2)=43,(4,7)=60,(2,7)=62,(3,4)=75,(2,5)=81,(2,6)=82,(2,4)=85,(0,1)=86,(1,5)=98]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Find(5)=5, Find(7)=6, Add (5,7)=11 Succeeded, w=19\",\"Find(3)=3, Find(7)=6, Add (3,7)=15 Succeeded, w=34\",\"Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=50\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=77\",\"Find(5)=6, Find(6)=6, Add (5,6)=33 Failed, w=77\",\"Find(0)=0, Find(2)=1, Add (0,2)=43 Succeeded, w=120\",\"Find(4)=6, Find(7)=6, Add (4,7)=60 Failed, w=120\",\"Find(2)=1, Find(7)=6, Add (2,7)=62 Succeeded, w=182\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=182\",\"Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=182\",\"Find(2)=1, Find(6)=1, Add (2,6)=82 Failed, w=182\",\"Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=182\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=182\",\"Find(1)=1, Find(5)=1, Add (1,5)=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\":[[0,1,86],[0,2,43],[1,2,27],[1,5,98],[2,4,85],[2,5,81],[2,6,82],[2,7,62],[3,4,75],[3,7,15],[4,6,16],[4,7,60],[5,6,33],[5,7,11],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(5,7)=11,(3,7)=15,(4,6)=16,(1,2)=27,(5,6)=33,(0,2)=43,(4,7)=60,(2,7)=62,(3,4)=75,(2,5)=81,(2,6)=82,(2,4)=85,(0,1)=86,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(7)=6, Add (5,7)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 4, 5: 6, 6: 6, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=15 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(6)=6, Add (5,6)=33 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=0, Find(2)=1, Add (0,2)=43 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(7)=6, Add (4,7)=60 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 6, 4: 6, 5: 6, 6: 1, 7: 6}, Find(2)=1, Find(7)=6, Add (2,7)=62 Succeeded, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 6, 6: 1, 7: 6}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(6)=1, Add (2,6)=82 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(1)=1, Find(5)=1, Add (1,5)=98 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,53],[0,2,87],[0,3,33],[1,2,49],[1,3,55],[1,4,66],[2,3,12],[2,4,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,87],[0,3,33],[1,2,49],[1,3,55],[1,4,66],[2,3,12],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,87],[0,3,33],[1,2,49],[1,3,55],[1,4,66],[2,3,12],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,87],[0,3,33],[1,2,49],[1,3,55],[1,4,66],[2,3,12],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (0,3)=33, w=45\",\"Add (2,4)=40, w=85\",\"Add (1,2)=49, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,87],[0,3,33],[1,2,49],[1,3,55],[1,4,66],[2,3,12],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (0,3)=33 Succeeded, w=45\",\"Add (2,4)=40 Succeeded, w=85\",\"Add (1,2)=49 Succeeded, w=134\",\"Add (0,1)=53 Failed, w=134\",\"Add (1,3)=55 Failed, w=134\",\"Add (1,4)=66 Failed, w=134\",\"Add (0,2)=87 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,87],[0,3,33],[1,2,49],[1,3,55],[1,4,66],[2,3,12],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,3)=33,(2,4)=40,(1,2)=49,(0,1)=53,(1,3)=55,(1,4)=66,(0,2)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=2, Add (0,3)=33 Succeeded, w=45\",\"Find(2)=2, Find(4)=4, Add (2,4)=40 Succeeded, w=85\",\"Find(1)=1, Find(2)=2, Add (1,2)=49 Succeeded, w=134\",\"Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=134\",\"Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=134\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=134\",\"Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,87],[0,3,33],[1,2,49],[1,3,55],[1,4,66],[2,3,12],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,3)=33,(2,4)=40,(1,2)=49,(0,1)=53,(1,3)=55,(1,4)=66,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=33 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=40 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=49 Succeeded, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,2,29],[0,3,40],[0,4,97],[0,5,35],[1,2,70],[1,3,17],[1,4,69],[1,5,7],[2,3,66],[2,5,21],[3,5,67],[4,5,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,29],[0,3,40],[0,4,97],[0,5,35],[1,2,70],[1,3,17],[1,4,69],[1,5,7],[2,3,66],[2,5,21],[3,5,67],[4,5,9]]}",
"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\":[[0,1,58],[0,2,29],[0,3,40],[0,4,97],[0,5,35],[1,2,70],[1,3,17],[1,4,69],[1,5,7],[2,3,66],[2,5,21],[3,5,67],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (0,2)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,29],[0,3,40],[0,4,97],[0,5,35],[1,2,70],[1,3,17],[1,4,69],[1,5,7],[2,3,66],[2,5,21],[3,5,67],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (4,5)=9, w=16\",\"Add (1,3)=17, w=33\",\"Add (2,5)=21, w=54\",\"Add (0,2)=29, 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\":[[0,1,58],[0,2,29],[0,3,40],[0,4,97],[0,5,35],[1,2,70],[1,3,17],[1,4,69],[1,5,7],[2,3,66],[2,5,21],[3,5,67],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (4,5)=9 Succeeded, w=16\",\"Add (1,3)=17 Succeeded, w=33\",\"Add (2,5)=21 Succeeded, w=54\",\"Add (0,2)=29 Succeeded, w=83\",\"Add (0,5)=35 Failed, w=83\",\"Add (0,3)=40 Failed, w=83\",\"Add (0,1)=58 Failed, w=83\",\"Add (2,3)=66 Failed, w=83\",\"Add (3,5)=67 Failed, w=83\",\"Add (1,4)=69 Failed, w=83\",\"Add (1,2)=70 Failed, w=83\",\"Add (0,4)=97 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\":[[0,1,58],[0,2,29],[0,3,40],[0,4,97],[0,5,35],[1,2,70],[1,3,17],[1,4,69],[1,5,7],[2,3,66],[2,5,21],[3,5,67],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(4,5)=9,(1,3)=17,(2,5)=21,(0,2)=29,(0,5)=35,(0,3)=40,(0,1)=58,(2,3)=66,(3,5)=67,(1,4)=69,(1,2)=70,(0,4)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=16\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=33\",\"Find(2)=2, Find(5)=1, Add (2,5)=21 Succeeded, w=54\",\"Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=83\",\"Find(0)=1, Find(5)=1, Add (0,5)=35 Failed, w=83\",\"Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=83\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=83\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=83\",\"Find(3)=1, Find(5)=1, Add (3,5)=67 Failed, w=83\",\"Find(1)=1, Find(4)=1, Add (1,4)=69 Failed, w=83\",\"Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=83\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 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\":[[0,1,58],[0,2,29],[0,3,40],[0,4,97],[0,5,35],[1,2,70],[1,3,17],[1,4,69],[1,5,7],[2,3,66],[2,5,21],[3,5,67],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(4,5)=9,(1,3)=17,(2,5)=21,(0,2)=29,(0,5)=35,(0,3)=40,(0,1)=58,(2,3)=66,(3,5)=67,(1,4)=69,(1,2)=70,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=21 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=35 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=67 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=69 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[0,2,80],[0,3,70],[0,4,87],[1,2,71],[1,4,94],[2,3,100],[2,4,77],[3,4,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,80],[0,3,70],[0,4,87],[1,2,71],[1,4,94],[2,3,100],[2,4,77],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,80],[0,3,70],[0,4,87],[1,2,71],[1,4,94],[2,3,100],[2,4,77],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,80],[0,3,70],[0,4,87],[1,2,71],[1,4,94],[2,3,100],[2,4,77],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=35, w=35\",\"Add (0,1)=41, w=76\",\"Add (0,3)=70, w=146\",\"Add (1,2)=71, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,80],[0,3,70],[0,4,87],[1,2,71],[1,4,94],[2,3,100],[2,4,77],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=35 Succeeded, w=35\",\"Add (0,1)=41 Succeeded, w=76\",\"Add (0,3)=70 Succeeded, w=146\",\"Add (1,2)=71 Succeeded, w=217\",\"Add (2,4)=77 Failed, w=217\",\"Add (0,2)=80 Failed, w=217\",\"Add (0,4)=87 Failed, w=217\",\"Add (1,4)=94 Failed, w=217\",\"Add (2,3)=100 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,80],[0,3,70],[0,4,87],[1,2,71],[1,4,94],[2,3,100],[2,4,77],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=35,(0,1)=41,(0,3)=70,(1,2)=71,(2,4)=77,(0,2)=80,(0,4)=87,(1,4)=94,(2,3)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=76\",\"Find(0)=0, Find(3)=3, Add (0,3)=70 Succeeded, w=146\",\"Find(1)=0, Find(2)=2, Add (1,2)=71 Succeeded, w=217\",\"Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=217\",\"Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=217\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=217\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=217\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,80],[0,3,70],[0,4,87],[1,2,71],[1,4,94],[2,3,100],[2,4,77],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=35,(0,1)=41,(0,3)=70,(1,2)=71,(2,4)=77,(0,2)=80,(0,4)=87,(1,4)=94,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=70 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=2, Add (1,2)=71 Succeeded, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,23],[0,2,96],[0,3,20],[0,5,35],[1,2,70],[1,4,73],[1,5,7],[2,3,65],[2,5,25],[3,4,27],[3,5,78],[4,5,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,96],[0,3,20],[0,5,35],[1,2,70],[1,4,73],[1,5,7],[2,3,65],[2,5,25],[3,4,27],[3,5,78],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,96],[0,3,20],[0,5,35],[1,2,70],[1,4,73],[1,5,7],[2,3,65],[2,5,25],[3,4,27],[3,5,78],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,96],[0,3,20],[0,5,35],[1,2,70],[1,4,73],[1,5,7],[2,3,65],[2,5,25],[3,4,27],[3,5,78],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (4,5)=14, w=21\",\"Add (0,3)=20, w=41\",\"Add (0,1)=23, w=64\",\"Add (2,5)=25, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,96],[0,3,20],[0,5,35],[1,2,70],[1,4,73],[1,5,7],[2,3,65],[2,5,25],[3,4,27],[3,5,78],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (4,5)=14 Succeeded, w=21\",\"Add (0,3)=20 Succeeded, w=41\",\"Add (0,1)=23 Succeeded, w=64\",\"Add (2,5)=25 Succeeded, w=89\",\"Add (3,4)=27 Failed, w=89\",\"Add (0,5)=35 Failed, w=89\",\"Add (2,3)=65 Failed, w=89\",\"Add (1,2)=70 Failed, w=89\",\"Add (1,4)=73 Failed, w=89\",\"Add (3,5)=78 Failed, w=89\",\"Add (0,2)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,96],[0,3,20],[0,5,35],[1,2,70],[1,4,73],[1,5,7],[2,3,65],[2,5,25],[3,4,27],[3,5,78],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(4,5)=14,(0,3)=20,(0,1)=23,(2,5)=25,(3,4)=27,(0,5)=35,(2,3)=65,(1,2)=70,(1,4)=73,(3,5)=78,(0,2)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(4)=4, Find(5)=1, Add (4,5)=14 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=41\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=64\",\"Find(2)=2, Find(5)=0, Add (2,5)=25 Succeeded, w=89\",\"Find(3)=0, Find(4)=0, Add (3,4)=27 Failed, w=89\",\"Find(0)=0, Find(5)=0, Add (0,5)=35 Failed, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=89\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=89\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=89\",\"Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=89\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,96],[0,3,20],[0,5,35],[1,2,70],[1,4,73],[1,5,7],[2,3,65],[2,5,25],[3,4,27],[3,5,78],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(4,5)=14,(0,3)=20,(0,1)=23,(2,5)=25,(3,4)=27,(0,5)=35,(2,3)=65,(1,2)=70,(1,4)=73,(3,5)=78,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=25 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=27 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=35 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,78],[0,2,45],[0,3,83],[0,4,83],[0,5,6],[1,2,92],[1,3,96],[1,4,20],[1,5,75],[2,3,87],[2,4,79],[2,5,45],[3,4,66],[3,5,86],[4,5,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,45],[0,3,83],[0,4,83],[0,5,6],[1,2,92],[1,3,96],[1,4,20],[1,5,75],[2,3,87],[2,4,79],[2,5,45],[3,4,66],[3,5,86],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,45],[0,3,83],[0,4,83],[0,5,6],[1,2,92],[1,3,96],[1,4,20],[1,5,75],[2,3,87],[2,4,79],[2,5,45],[3,4,66],[3,5,86],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,45],[0,3,83],[0,4,83],[0,5,6],[1,2,92],[1,3,96],[1,4,20],[1,5,75],[2,3,87],[2,4,79],[2,5,45],[3,4,66],[3,5,86],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6, w=6\",\"Add (1,4)=20, w=26\",\"Add (4,5)=32, w=58\",\"Add (0,2)=45, w=103\",\"Add (3,4)=66, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,45],[0,3,83],[0,4,83],[0,5,6],[1,2,92],[1,3,96],[1,4,20],[1,5,75],[2,3,87],[2,4,79],[2,5,45],[3,4,66],[3,5,86],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6 Succeeded, w=6\",\"Add (1,4)=20 Succeeded, w=26\",\"Add (4,5)=32 Succeeded, w=58\",\"Add (0,2)=45 Succeeded, w=103\",\"Add (2,5)=45 Failed, w=103\",\"Add (3,4)=66 Succeeded, w=169\",\"Add (1,5)=75 Failed, w=169\",\"Add (0,1)=78 Failed, w=169\",\"Add (2,4)=79 Failed, w=169\",\"Add (0,3)=83 Failed, w=169\",\"Add (0,4)=83 Failed, w=169\",\"Add (3,5)=86 Failed, w=169\",\"Add (2,3)=87 Failed, w=169\",\"Add (1,2)=92 Failed, w=169\",\"Add (1,3)=96 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,45],[0,3,83],[0,4,83],[0,5,6],[1,2,92],[1,3,96],[1,4,20],[1,5,75],[2,3,87],[2,4,79],[2,5,45],[3,4,66],[3,5,86],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(1,4)=20,(4,5)=32,(0,2)=45,(2,5)=45,(3,4)=66,(1,5)=75,(0,1)=78,(2,4)=79,(0,3)=83,(0,4)=83,(3,5)=86,(2,3)=87,(1,2)=92,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=26\",\"Find(4)=1, Find(5)=0, Add (4,5)=32 Succeeded, w=58\",\"Find(0)=1, Find(2)=2, Add (0,2)=45 Succeeded, w=103\",\"Find(2)=1, Find(5)=1, Add (2,5)=45 Failed, w=103\",\"Find(3)=3, Find(4)=1, Add (3,4)=66 Succeeded, w=169\",\"Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=169\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=169\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=169\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=169\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=169\",\"Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=169\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=169\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=169\",\"Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,45],[0,3,83],[0,4,83],[0,5,6],[1,2,92],[1,3,96],[1,4,20],[1,5,75],[2,3,87],[2,4,79],[2,5,45],[3,4,66],[3,5,86],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(1,4)=20,(4,5)=32,(0,2)=45,(2,5)=45,(3,4)=66,(1,5)=75,(0,1)=78,(2,4)=79,(0,3)=83,(0,4)=83,(3,5)=86,(2,3)=87,(1,2)=92,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(4)=1, Find(5)=0, Add (4,5)=32 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0}, Find(0)=1, Find(2)=2, Add (0,2)=45 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=45 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=66 Succeeded, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,2,39],[0,4,94],[1,2,47],[1,3,38],[1,4,21],[1,5,88],[2,3,73],[3,4,80],[4,5,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,39],[0,4,94],[1,2,47],[1,3,38],[1,4,21],[1,5,88],[2,3,73],[3,4,80],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,39],[0,4,94],[1,2,47],[1,3,38],[1,4,21],[1,5,88],[2,3,73],[3,4,80],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (1,5)\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,39],[0,4,94],[1,2,47],[1,3,38],[1,4,21],[1,5,88],[2,3,73],[3,4,80],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=21, w=21\",\"Add (1,3)=38, w=59\",\"Add (0,2)=39, w=98\",\"Add (1,2)=47, w=145\",\"Add (1,5)=88, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,39],[0,4,94],[1,2,47],[1,3,38],[1,4,21],[1,5,88],[2,3,73],[3,4,80],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=21 Succeeded, w=21\",\"Add (1,3)=38 Succeeded, w=59\",\"Add (0,2)=39 Succeeded, w=98\",\"Add (1,2)=47 Succeeded, w=145\",\"Add (2,3)=73 Failed, w=145\",\"Add (3,4)=80 Failed, w=145\",\"Add (1,5)=88 Succeeded, w=233\",\"Add (0,1)=91 Failed, w=233\",\"Add (0,4)=94 Failed, w=233\",\"Add (4,5)=99 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,39],[0,4,94],[1,2,47],[1,3,38],[1,4,21],[1,5,88],[2,3,73],[3,4,80],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=21,(1,3)=38,(0,2)=39,(1,2)=47,(2,3)=73,(3,4)=80,(1,5)=88,(0,1)=91,(0,4)=94,(4,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=59\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=98\",\"Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=145\",\"Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=145\",\"Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=145\",\"Find(1)=1, Find(5)=5, Add (1,5)=88 Succeeded, w=233\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=233\",\"Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=233\",\"Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,39],[0,4,94],[1,2,47],[1,3,38],[1,4,21],[1,5,88],[2,3,73],[3,4,80],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=21,(1,3)=38,(0,2)=39,(1,2)=47,(2,3)=73,(3,4)=80,(1,5)=88,(0,1)=91,(0,4)=94,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=88 Succeeded, w=233\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=233\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=233\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,53],[0,2,73],[0,3,77],[1,2,12],[1,3,66],[2,3,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,73],[0,3,77],[1,2,12],[1,3,66],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,73],[0,3,77],[1,2,12],[1,3,66],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,73],[0,3,77],[1,2,12],[1,3,66],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (0,1)=53, w=65\",\"Add (1,3)=66, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,73],[0,3,77],[1,2,12],[1,3,66],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (0,1)=53 Succeeded, w=65\",\"Add (1,3)=66 Succeeded, w=131\",\"Add (0,2)=73 Failed, w=131\",\"Add (0,3)=77 Failed, w=131\",\"Add (2,3)=79 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,73],[0,3,77],[1,2,12],[1,3,66],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,1)=53,(1,3)=66,(0,2)=73,(0,3)=77,(2,3)=79]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=65\",\"Find(1)=1, Find(3)=3, Add (1,3)=66 Succeeded, w=131\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=131\",\"Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=131\",\"Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,73],[0,3,77],[1,2,12],[1,3,66],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,1)=53,(1,3)=66,(0,2)=73,(0,3)=77,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=66 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=77 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,83],[0,2,48],[0,3,69],[0,4,98],[1,2,72],[1,3,4],[1,4,22],[2,3,43],[2,4,94],[3,4,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,48],[0,3,69],[0,4,98],[1,2,72],[1,3,4],[1,4,22],[2,3,43],[2,4,94],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,48],[0,3,69],[0,4,98],[1,2,72],[1,3,4],[1,4,22],[2,3,43],[2,4,94],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,48],[0,3,69],[0,4,98],[1,2,72],[1,3,4],[1,4,22],[2,3,43],[2,4,94],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (1,4)=22, w=26\",\"Add (2,3)=43, w=69\",\"Add (0,2)=48, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,48],[0,3,69],[0,4,98],[1,2,72],[1,3,4],[1,4,22],[2,3,43],[2,4,94],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (1,4)=22 Succeeded, w=26\",\"Add (2,3)=43 Succeeded, w=69\",\"Add (0,2)=48 Succeeded, w=117\",\"Add (0,3)=69 Failed, w=117\",\"Add (1,2)=72 Failed, w=117\",\"Add (3,4)=75 Failed, w=117\",\"Add (0,1)=83 Failed, w=117\",\"Add (2,4)=94 Failed, w=117\",\"Add (0,4)=98 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,48],[0,3,69],[0,4,98],[1,2,72],[1,3,4],[1,4,22],[2,3,43],[2,4,94],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(1,4)=22,(2,3)=43,(0,2)=48,(0,3)=69,(1,2)=72,(3,4)=75,(0,1)=83,(2,4)=94,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=26\",\"Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=69\",\"Find(0)=0, Find(2)=1, Add (0,2)=48 Succeeded, w=117\",\"Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=117\",\"Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=117\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=117\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=117\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=117\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,48],[0,3,69],[0,4,98],[1,2,72],[1,3,4],[1,4,22],[2,3,43],[2,4,94],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(1,4)=22,(2,3)=43,(0,2)=48,(0,3)=69,(1,2)=72,(3,4)=75,(0,1)=83,(2,4)=94,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=48 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,22],[0,2,56],[0,3,62],[0,4,6],[0,5,4],[0,6,34],[0,7,31],[1,2,27],[1,3,55],[1,4,29],[1,6,91],[1,7,49],[2,3,19],[2,4,33],[2,6,92],[2,7,84],[3,4,70],[3,5,53],[3,6,51],[3,7,19],[4,5,51],[4,6,3],[4,7,63],[5,6,15],[6,7,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,56],[0,3,62],[0,4,6],[0,5,4],[0,6,34],[0,7,31],[1,2,27],[1,3,55],[1,4,29],[1,6,91],[1,7,49],[2,3,19],[2,4,33],[2,6,92],[2,7,84],[3,4,70],[3,5,53],[3,6,51],[3,7,19],[4,5,51],[4,6,3],[4,7,63],[5,6,15],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,56],[0,3,62],[0,4,6],[0,5,4],[0,6,34],[0,7,31],[1,2,27],[1,3,55],[1,4,29],[1,6,91],[1,7,49],[2,3,19],[2,4,33],[2,6,92],[2,7,84],[3,4,70],[3,5,53],[3,6,51],[3,7,19],[4,5,51],[4,6,3],[4,7,63],[5,6,15],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (6,7)\",\"Add (2,3)\",\"Add (3,7)\",\"Add (0,1)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,56],[0,3,62],[0,4,6],[0,5,4],[0,6,34],[0,7,31],[1,2,27],[1,3,55],[1,4,29],[1,6,91],[1,7,49],[2,3,19],[2,4,33],[2,6,92],[2,7,84],[3,4,70],[3,5,53],[3,6,51],[3,7,19],[4,5,51],[4,6,3],[4,7,63],[5,6,15],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (0,5)=4, w=7\",\"Add (0,4)=6, w=13\",\"Add (6,7)=15, w=28\",\"Add (2,3)=19, w=47\",\"Add (3,7)=19, w=66\",\"Add (0,1)=22, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,56],[0,3,62],[0,4,6],[0,5,4],[0,6,34],[0,7,31],[1,2,27],[1,3,55],[1,4,29],[1,6,91],[1,7,49],[2,3,19],[2,4,33],[2,6,92],[2,7,84],[3,4,70],[3,5,53],[3,6,51],[3,7,19],[4,5,51],[4,6,3],[4,7,63],[5,6,15],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (0,5)=4 Succeeded, w=7\",\"Add (0,4)=6 Succeeded, w=13\",\"Add (5,6)=15 Failed, w=13\",\"Add (6,7)=15 Succeeded, w=28\",\"Add (2,3)=19 Succeeded, w=47\",\"Add (3,7)=19 Succeeded, w=66\",\"Add (0,1)=22 Succeeded, w=88\",\"Add (1,2)=27 Failed, w=88\",\"Add (1,4)=29 Failed, w=88\",\"Add (0,7)=31 Failed, w=88\",\"Add (2,4)=33 Failed, w=88\",\"Add (0,6)=34 Failed, w=88\",\"Add (1,7)=49 Failed, w=88\",\"Add (3,6)=51 Failed, w=88\",\"Add (4,5)=51 Failed, w=88\",\"Add (3,5)=53 Failed, w=88\",\"Add (1,3)=55 Failed, w=88\",\"Add (0,2)=56 Failed, w=88\",\"Add (0,3)=62 Failed, w=88\",\"Add (4,7)=63 Failed, w=88\",\"Add (3,4)=70 Failed, w=88\",\"Add (2,7)=84 Failed, w=88\",\"Add (1,6)=91 Failed, w=88\",\"Add (2,6)=92 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,56],[0,3,62],[0,4,6],[0,5,4],[0,6,34],[0,7,31],[1,2,27],[1,3,55],[1,4,29],[1,6,91],[1,7,49],[2,3,19],[2,4,33],[2,6,92],[2,7,84],[3,4,70],[3,5,53],[3,6,51],[3,7,19],[4,5,51],[4,6,3],[4,7,63],[5,6,15],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(0,5)=4,(0,4)=6,(5,6)=15,(6,7)=15,(2,3)=19,(3,7)=19,(0,1)=22,(1,2)=27,(1,4)=29,(0,7)=31,(2,4)=33,(0,6)=34,(1,7)=49,(3,6)=51,(4,5)=51,(3,5)=53,(1,3)=55,(0,2)=56,(0,3)=62,(4,7)=63,(3,4)=70,(2,7)=84,(1,6)=91,(2,6)=92]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=7\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=13\",\"Find(5)=0, Find(6)=0, Add (5,6)=15 Failed, w=13\",\"Find(6)=0, Find(7)=7, Add (6,7)=15 Succeeded, w=28\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=47\",\"Find(3)=2, Find(7)=0, Add (3,7)=19 Succeeded, w=66\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=88\",\"Find(0)=0, Find(7)=0, Add (0,7)=31 Failed, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=88\",\"Find(0)=0, Find(6)=0, Add (0,6)=34 Failed, w=88\",\"Find(1)=0, Find(7)=0, Add (1,7)=49 Failed, w=88\",\"Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=88\",\"Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=88\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=88\",\"Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=88\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=88\",\"Find(4)=0, Find(7)=0, Add (4,7)=63 Failed, w=88\",\"Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=88\",\"Find(2)=0, Find(7)=0, Add (2,7)=84 Failed, w=88\",\"Find(1)=0, Find(6)=0, Add (1,6)=91 Failed, w=88\",\"Find(2)=0, Find(6)=0, Add (2,6)=92 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,56],[0,3,62],[0,4,6],[0,5,4],[0,6,34],[0,7,31],[1,2,27],[1,3,55],[1,4,29],[1,6,91],[1,7,49],[2,3,19],[2,4,33],[2,6,92],[2,7,84],[3,4,70],[3,5,53],[3,6,51],[3,7,19],[4,5,51],[4,6,3],[4,7,63],[5,6,15],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(0,5)=4,(0,4)=6,(5,6)=15,(6,7)=15,(2,3)=19,(3,7)=19,(0,1)=22,(1,2)=27,(1,4)=29,(0,7)=31,(2,4)=33,(0,6)=34,(1,7)=49,(3,6)=51,(4,5)=51,(3,5)=53,(1,3)=55,(0,2)=56,(0,3)=62,(4,7)=63,(3,4)=70,(2,7)=84,(1,6)=91,(2,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 4, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=0, Add (5,6)=15 Failed, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=2, Find(7)=0, Add (3,7)=19 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=31 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=88\",\"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)=34 Failed, w=88\",\"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)=49 Failed, w=88\",\"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)=51 Failed, w=88\",\"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)=51 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=88\",\"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)=55 Failed, w=88\",\"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)=56 Failed, w=88\",\"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)=62 Failed, w=88\",\"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)=63 Failed, w=88\",\"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)=70 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=84 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=91 Failed, w=88\",\"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)=92 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,11],[0,2,29],[0,3,100],[0,4,85],[0,5,15],[0,6,30],[0,7,32],[1,2,48],[1,3,76],[1,4,46],[1,5,5],[1,6,65],[1,7,4],[2,3,17],[2,4,62],[2,5,84],[2,6,64],[2,7,18],[3,4,100],[3,5,16],[3,7,36],[4,5,38],[4,6,33],[4,7,99],[5,6,45],[5,7,68],[6,7,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,29],[0,3,100],[0,4,85],[0,5,15],[0,6,30],[0,7,32],[1,2,48],[1,3,76],[1,4,46],[1,5,5],[1,6,65],[1,7,4],[2,3,17],[2,4,62],[2,5,84],[2,6,64],[2,7,18],[3,4,100],[3,5,16],[3,7,36],[4,5,38],[4,6,33],[4,7,99],[5,6,45],[5,7,68],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,29],[0,3,100],[0,4,85],[0,5,15],[0,6,30],[0,7,32],[1,2,48],[1,3,76],[1,4,46],[1,5,5],[1,6,65],[1,7,4],[2,3,17],[2,4,62],[2,5,84],[2,6,64],[2,7,18],[3,4,100],[3,5,16],[3,7,36],[4,5,38],[4,6,33],[4,7,99],[5,6,45],[5,7,68],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (4,6)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,29],[0,3,100],[0,4,85],[0,5,15],[0,6,30],[0,7,32],[1,2,48],[1,3,76],[1,4,46],[1,5,5],[1,6,65],[1,7,4],[2,3,17],[2,4,62],[2,5,84],[2,6,64],[2,7,18],[3,4,100],[3,5,16],[3,7,36],[4,5,38],[4,6,33],[4,7,99],[5,6,45],[5,7,68],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=4, w=4\",\"Add (1,5)=5, w=9\",\"Add (0,1)=11, w=20\",\"Add (3,5)=16, w=36\",\"Add (2,3)=17, w=53\",\"Add (0,6)=30, w=83\",\"Add (4,6)=33, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,29],[0,3,100],[0,4,85],[0,5,15],[0,6,30],[0,7,32],[1,2,48],[1,3,76],[1,4,46],[1,5,5],[1,6,65],[1,7,4],[2,3,17],[2,4,62],[2,5,84],[2,6,64],[2,7,18],[3,4,100],[3,5,16],[3,7,36],[4,5,38],[4,6,33],[4,7,99],[5,6,45],[5,7,68],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=4 Succeeded, w=4\",\"Add (1,5)=5 Succeeded, w=9\",\"Add (0,1)=11 Succeeded, w=20\",\"Add (0,5)=15 Failed, w=20\",\"Add (3,5)=16 Succeeded, w=36\",\"Add (2,3)=17 Succeeded, w=53\",\"Add (2,7)=18 Failed, w=53\",\"Add (0,2)=29 Failed, w=53\",\"Add (0,6)=30 Succeeded, w=83\",\"Add (0,7)=32 Failed, w=83\",\"Add (4,6)=33 Succeeded, w=116\",\"Add (3,7)=36 Failed, w=116\",\"Add (4,5)=38 Failed, w=116\",\"Add (6,7)=43 Failed, w=116\",\"Add (5,6)=45 Failed, w=116\",\"Add (1,4)=46 Failed, w=116\",\"Add (1,2)=48 Failed, w=116\",\"Add (2,4)=62 Failed, w=116\",\"Add (2,6)=64 Failed, w=116\",\"Add (1,6)=65 Failed, w=116\",\"Add (5,7)=68 Failed, w=116\",\"Add (1,3)=76 Failed, w=116\",\"Add (2,5)=84 Failed, w=116\",\"Add (0,4)=85 Failed, w=116\",\"Add (4,7)=99 Failed, w=116\",\"Add (0,3)=100 Failed, w=116\",\"Add (3,4)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,29],[0,3,100],[0,4,85],[0,5,15],[0,6,30],[0,7,32],[1,2,48],[1,3,76],[1,4,46],[1,5,5],[1,6,65],[1,7,4],[2,3,17],[2,4,62],[2,5,84],[2,6,64],[2,7,18],[3,4,100],[3,5,16],[3,7,36],[4,5,38],[4,6,33],[4,7,99],[5,6,45],[5,7,68],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=4,(1,5)=5,(0,1)=11,(0,5)=15,(3,5)=16,(2,3)=17,(2,7)=18,(0,2)=29,(0,6)=30,(0,7)=32,(4,6)=33,(3,7)=36,(4,5)=38,(6,7)=43,(5,6)=45,(1,4)=46,(1,2)=48,(2,4)=62,(2,6)=64,(1,6)=65,(5,7)=68,(1,3)=76,(2,5)=84,(0,4)=85,(4,7)=99,(0,3)=100,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=20\",\"Find(0)=1, Find(5)=1, Add (0,5)=15 Failed, w=20\",\"Find(3)=3, Find(5)=1, Add (3,5)=16 Succeeded, w=36\",\"Find(2)=2, Find(3)=1, Add (2,3)=17 Succeeded, w=53\",\"Find(2)=1, Find(7)=1, Add (2,7)=18 Failed, w=53\",\"Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=53\",\"Find(0)=1, Find(6)=6, Add (0,6)=30 Succeeded, w=83\",\"Find(0)=1, Find(7)=1, Add (0,7)=32 Failed, w=83\",\"Find(4)=4, Find(6)=1, Add (4,6)=33 Succeeded, w=116\",\"Find(3)=1, Find(7)=1, Add (3,7)=36 Failed, w=116\",\"Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=116\",\"Find(6)=1, Find(7)=1, Add (6,7)=43 Failed, w=116\",\"Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=116\",\"Find(1)=1, Find(4)=1, Add (1,4)=46 Failed, w=116\",\"Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=116\",\"Find(2)=1, Find(4)=1, Add (2,4)=62 Failed, w=116\",\"Find(2)=1, Find(6)=1, Add (2,6)=64 Failed, w=116\",\"Find(1)=1, Find(6)=1, Add (1,6)=65 Failed, w=116\",\"Find(5)=1, Find(7)=1, Add (5,7)=68 Failed, w=116\",\"Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=116\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=116\",\"Find(0)=1, Find(4)=1, Add (0,4)=85 Failed, w=116\",\"Find(4)=1, Find(7)=1, Add (4,7)=99 Failed, w=116\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=116\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,29],[0,3,100],[0,4,85],[0,5,15],[0,6,30],[0,7,32],[1,2,48],[1,3,76],[1,4,46],[1,5,5],[1,6,65],[1,7,4],[2,3,17],[2,4,62],[2,5,84],[2,6,64],[2,7,18],[3,4,100],[3,5,16],[3,7,36],[4,5,38],[4,6,33],[4,7,99],[5,6,45],[5,7,68],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=4,(1,5)=5,(0,1)=11,(0,5)=15,(3,5)=16,(2,3)=17,(2,7)=18,(0,2)=29,(0,6)=30,(0,7)=32,(4,6)=33,(3,7)=36,(4,5)=38,(6,7)=43,(5,6)=45,(1,4)=46,(1,2)=48,(2,4)=62,(2,6)=64,(1,6)=65,(5,7)=68,(1,3)=76,(2,5)=84,(0,4)=85,(4,7)=99,(0,3)=100,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=15 Failed, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(3)=3, Find(5)=1, Add (3,5)=16 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=2, Find(3)=1, Add (2,3)=17 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=18 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=6, Add (0,6)=30 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=32 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=4, Find(6)=1, Add (4,6)=33 Succeeded, w=116\",\"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)=36 Failed, w=116\",\"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)=38 Failed, w=116\",\"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)=43 Failed, w=116\",\"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)=45 Failed, w=116\",\"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)=46 Failed, w=116\",\"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)=48 Failed, w=116\",\"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)=62 Failed, w=116\",\"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)=64 Failed, w=116\",\"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)=65 Failed, w=116\",\"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)=68 Failed, w=116\",\"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)=76 Failed, w=116\",\"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)=84 Failed, w=116\",\"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)=85 Failed, w=116\",\"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)=99 Failed, w=116\",\"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)=100 Failed, w=116\",\"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)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
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