graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,35],[0,3,26],[0,4,85],[1,2,20],[1,3,41],[2,3,99],[3,4,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,35],[0,3,26],[0,4,85],[1,2,20],[1,3,41],[2,3,99],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,35],[0,3,26],[0,4,85],[1,2,20],[1,3,41],[2,3,99],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,35],[0,3,26],[0,4,85],[1,2,20],[1,3,41],[2,3,99],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18, w=18\",\"Add (1,2)=20, w=38\",\"Add (0,3)=26, w=64\",\"Add (3,4)=79, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,35],[0,3,26],[0,4,85],[1,2,20],[1,3,41],[2,3,99],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18 Succeeded, w=18\",\"Add (1,2)=20 Succeeded, w=38\",\"Add (0,3)=26 Succeeded, w=64\",\"Add (0,2)=35 Failed, w=64\",\"Add (1,3)=41 Failed, w=64\",\"Add (3,4)=79 Succeeded, w=143\",\"Add (0,4)=85 Failed, w=143\",\"Add (2,3)=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],\"edges\":[[0,1,18],[0,2,35],[0,3,26],[0,4,85],[1,2,20],[1,3,41],[2,3,99],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(1,2)=20,(0,3)=26,(0,2)=35,(1,3)=41,(3,4)=79,(0,4)=85,(2,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=38\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=64\",\"Find(0)=0, Find(2)=0, Add (0,2)=35 Failed, w=64\",\"Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=64\",\"Find(3)=0, Find(4)=4, Add (3,4)=79 Succeeded, w=143\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=143\",\"Find(2)=0, Find(3)=0, Add (2,3)=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],\"edges\":[[0,1,18],[0,2,35],[0,3,26],[0,4,85],[1,2,20],[1,3,41],[2,3,99],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(1,2)=20,(0,3)=26,(0,2)=35,(1,3)=41,(3,4)=79,(0,4)=85,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=35 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=79 Succeeded, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=143\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,21],[0,4,77],[0,6,5],[0,7,22],[1,2,7],[1,5,72],[1,7,88],[2,3,87],[2,5,65],[2,6,53],[2,7,40],[3,5,38],[3,6,7],[3,7,34],[4,5,74],[4,6,35],[4,7,96],[5,6,0],[5,7,93],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,4,77],[0,6,5],[0,7,22],[1,2,7],[1,5,72],[1,7,88],[2,3,87],[2,5,65],[2,6,53],[2,7,40],[3,5,38],[3,6,7],[3,7,34],[4,5,74],[4,6,35],[4,7,96],[5,6,0],[5,7,93],[6,7,87]]}",
"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\":[[0,3,21],[0,4,77],[0,6,5],[0,7,22],[1,2,7],[1,5,72],[1,7,88],[2,3,87],[2,5,65],[2,6,53],[2,7,40],[3,5,38],[3,6,7],[3,7,34],[4,5,74],[4,6,35],[4,7,96],[5,6,0],[5,7,93],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (0,7)\",\"Add (4,6)\",\"Add (2,7)\"],\"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\":[[0,3,21],[0,4,77],[0,6,5],[0,7,22],[1,2,7],[1,5,72],[1,7,88],[2,3,87],[2,5,65],[2,6,53],[2,7,40],[3,5,38],[3,6,7],[3,7,34],[4,5,74],[4,6,35],[4,7,96],[5,6,0],[5,7,93],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (0,6)=5, w=5\",\"Add (1,2)=7, w=12\",\"Add (3,6)=7, w=19\",\"Add (0,7)=22, w=41\",\"Add (4,6)=35, w=76\",\"Add (2,7)=40, 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\":[[0,3,21],[0,4,77],[0,6,5],[0,7,22],[1,2,7],[1,5,72],[1,7,88],[2,3,87],[2,5,65],[2,6,53],[2,7,40],[3,5,38],[3,6,7],[3,7,34],[4,5,74],[4,6,35],[4,7,96],[5,6,0],[5,7,93],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (0,6)=5 Succeeded, w=5\",\"Add (1,2)=7 Succeeded, w=12\",\"Add (3,6)=7 Succeeded, w=19\",\"Add (0,3)=21 Failed, w=19\",\"Add (0,7)=22 Succeeded, w=41\",\"Add (3,7)=34 Failed, w=41\",\"Add (4,6)=35 Succeeded, w=76\",\"Add (3,5)=38 Failed, w=76\",\"Add (2,7)=40 Succeeded, w=116\",\"Add (2,6)=53 Failed, w=116\",\"Add (2,5)=65 Failed, w=116\",\"Add (1,5)=72 Failed, w=116\",\"Add (4,5)=74 Failed, w=116\",\"Add (0,4)=77 Failed, w=116\",\"Add (2,3)=87 Failed, w=116\",\"Add (6,7)=87 Failed, w=116\",\"Add (1,7)=88 Failed, w=116\",\"Add (5,7)=93 Failed, w=116\",\"Add (4,7)=96 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\":[[0,3,21],[0,4,77],[0,6,5],[0,7,22],[1,2,7],[1,5,72],[1,7,88],[2,3,87],[2,5,65],[2,6,53],[2,7,40],[3,5,38],[3,6,7],[3,7,34],[4,5,74],[4,6,35],[4,7,96],[5,6,0],[5,7,93],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(0,6)=5,(1,2)=7,(3,6)=7,(0,3)=21,(0,7)=22,(3,7)=34,(4,6)=35,(3,5)=38,(2,7)=40,(2,6)=53,(2,5)=65,(1,5)=72,(4,5)=74,(0,4)=77,(2,3)=87,(6,7)=87,(1,7)=88,(5,7)=93,(4,7)=96]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(6)=5, Add (0,6)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=12\",\"Find(3)=3, Find(6)=5, Add (3,6)=7 Succeeded, w=19\",\"Find(0)=5, Find(3)=5, Add (0,3)=21 Failed, w=19\",\"Find(0)=5, Find(7)=7, Add (0,7)=22 Succeeded, w=41\",\"Find(3)=5, Find(7)=5, Add (3,7)=34 Failed, w=41\",\"Find(4)=4, Find(6)=5, Add (4,6)=35 Succeeded, w=76\",\"Find(3)=5, Find(5)=5, Add (3,5)=38 Failed, w=76\",\"Find(2)=1, Find(7)=5, Add (2,7)=40 Succeeded, w=116\",\"Find(2)=1, Find(6)=1, Add (2,6)=53 Failed, w=116\",\"Find(2)=1, Find(5)=1, Add (2,5)=65 Failed, w=116\",\"Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=116\",\"Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=116\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=116\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=116\",\"Find(6)=1, Find(7)=1, Add (6,7)=87 Failed, w=116\",\"Find(1)=1, Find(7)=1, Add (1,7)=88 Failed, w=116\",\"Find(5)=1, Find(7)=1, Add (5,7)=93 Failed, w=116\",\"Find(4)=1, Find(7)=1, Add (4,7)=96 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\":[[0,3,21],[0,4,77],[0,6,5],[0,7,22],[1,2,7],[1,5,72],[1,7,88],[2,3,87],[2,5,65],[2,6,53],[2,7,40],[3,5,38],[3,6,7],[3,7,34],[4,5,74],[4,6,35],[4,7,96],[5,6,0],[5,7,93],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(0,6)=5,(1,2)=7,(3,6)=7,(0,3)=21,(0,7)=22,(3,7)=34,(4,6)=35,(3,5)=38,(2,7)=40,(2,6)=53,(2,5)=65,(1,5)=72,(4,5)=74,(0,4)=77,(2,3)=87,(6,7)=87,(1,7)=88,(5,7)=93,(4,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(6)=5, Add (0,6)=5 Succeeded, w=5\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=12\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 7}, Find(3)=3, Find(6)=5, Add (3,6)=7 Succeeded, w=19\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=5, Find(3)=5, Add (0,3)=21 Failed, w=19\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=7, Add (0,7)=22 Succeeded, w=41\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=34 Failed, w=41\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=4, Find(6)=5, Add (4,6)=35 Succeeded, w=76\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=38 Failed, w=76\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 5, 5: 1, 6: 5, 7: 5}, Find(2)=1, Find(7)=5, Add (2,7)=40 Succeeded, w=116\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 5, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(6)=1, Add (2,6)=53 Failed, w=116\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 5, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(5)=1, Add (2,5)=65 Failed, w=116\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 5, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=116\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 1, 7: 5}, Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(3)=1, Add (2,3)=87 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)=87 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=88 Failed, w=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)=93 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)=96 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,25],[0,4,44],[3,4,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,4,44],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,4,44],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,4,44],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=25, w=25\",\"Add (0,4)=44, w=69\",\"Add (3,4)=95, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,4,44],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=25 Succeeded, w=25\",\"Add (0,4)=44 Succeeded, w=69\",\"Add (3,4)=95 Succeeded, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,4,44],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=25,(0,4)=44,(3,4)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=69\",\"Find(3)=3, Find(4)=0, Add (3,4)=95 Succeeded, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,25],[0,4,44],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=25,(0,4)=44,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=95 Succeeded, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,62],[1,5,26],[2,5,0],[3,5,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,62],[1,5,26],[2,5,0],[3,5,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,62],[1,5,26],[2,5,0],[3,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,62],[1,5,26],[2,5,0],[3,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (3,5)=17, w=17\",\"Add (1,5)=26, w=43\",\"Add (0,4)=62, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,62],[1,5,26],[2,5,0],[3,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (3,5)=17 Succeeded, w=17\",\"Add (1,5)=26 Succeeded, w=43\",\"Add (0,4)=62 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,62],[1,5,26],[2,5,0],[3,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(3,5)=17,(1,5)=26,(0,4)=62]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=2, Add (3,5)=17 Succeeded, w=17\",\"Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=43\",\"Find(0)=0, Find(4)=4, Add (0,4)=62 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,62],[1,5,26],[2,5,0],[3,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(3,5)=17,(1,5)=26,(0,4)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=62 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,1],[0,2,15],[0,3,36],[0,4,79],[0,5,43],[0,6,93],[0,7,76],[1,2,20],[1,3,95],[1,4,22],[1,5,9],[1,6,66],[1,7,75],[2,3,89],[2,4,86],[2,5,64],[2,6,76],[3,4,52],[3,5,6],[3,6,76],[3,7,9],[4,5,0],[4,6,13],[4,7,88],[5,6,31],[5,7,32],[6,7,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,15],[0,3,36],[0,4,79],[0,5,43],[0,6,93],[0,7,76],[1,2,20],[1,3,95],[1,4,22],[1,5,9],[1,6,66],[1,7,75],[2,3,89],[2,4,86],[2,5,64],[2,6,76],[3,4,52],[3,5,6],[3,6,76],[3,7,9],[4,5,0],[4,6,13],[4,7,88],[5,6,31],[5,7,32],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,15],[0,3,36],[0,4,79],[0,5,43],[0,6,93],[0,7,76],[1,2,20],[1,3,95],[1,4,22],[1,5,9],[1,6,66],[1,7,75],[2,3,89],[2,4,86],[2,5,64],[2,6,76],[3,4,52],[3,5,6],[3,6,76],[3,7,9],[4,5,0],[4,6,13],[4,7,88],[5,6,31],[5,7,32],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (3,7)\",\"Add (4,6)\",\"Add (0,2)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,15],[0,3,36],[0,4,79],[0,5,43],[0,6,93],[0,7,76],[1,2,20],[1,3,95],[1,4,22],[1,5,9],[1,6,66],[1,7,75],[2,3,89],[2,4,86],[2,5,64],[2,6,76],[3,4,52],[3,5,6],[3,6,76],[3,7,9],[4,5,0],[4,6,13],[4,7,88],[5,6,31],[5,7,32],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (0,1)=1, w=1\",\"Add (3,5)=6, w=7\",\"Add (1,5)=9, w=16\",\"Add (3,7)=9, w=25\",\"Add (4,6)=13, w=38\",\"Add (0,2)=15, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,15],[0,3,36],[0,4,79],[0,5,43],[0,6,93],[0,7,76],[1,2,20],[1,3,95],[1,4,22],[1,5,9],[1,6,66],[1,7,75],[2,3,89],[2,4,86],[2,5,64],[2,6,76],[3,4,52],[3,5,6],[3,6,76],[3,7,9],[4,5,0],[4,6,13],[4,7,88],[5,6,31],[5,7,32],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (0,1)=1 Succeeded, w=1\",\"Add (3,5)=6 Succeeded, w=7\",\"Add (1,5)=9 Succeeded, w=16\",\"Add (3,7)=9 Succeeded, w=25\",\"Add (4,6)=13 Succeeded, w=38\",\"Add (0,2)=15 Succeeded, w=53\",\"Add (1,2)=20 Failed, w=53\",\"Add (1,4)=22 Failed, w=53\",\"Add (5,6)=31 Failed, w=53\",\"Add (5,7)=32 Failed, w=53\",\"Add (0,3)=36 Failed, w=53\",\"Add (0,5)=43 Failed, w=53\",\"Add (3,4)=52 Failed, w=53\",\"Add (2,5)=64 Failed, w=53\",\"Add (6,7)=64 Failed, w=53\",\"Add (1,6)=66 Failed, w=53\",\"Add (1,7)=75 Failed, w=53\",\"Add (0,7)=76 Failed, w=53\",\"Add (2,6)=76 Failed, w=53\",\"Add (3,6)=76 Failed, w=53\",\"Add (0,4)=79 Failed, w=53\",\"Add (2,4)=86 Failed, w=53\",\"Add (4,7)=88 Failed, w=53\",\"Add (2,3)=89 Failed, w=53\",\"Add (0,6)=93 Failed, w=53\",\"Add (1,3)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,15],[0,3,36],[0,4,79],[0,5,43],[0,6,93],[0,7,76],[1,2,20],[1,3,95],[1,4,22],[1,5,9],[1,6,66],[1,7,75],[2,3,89],[2,4,86],[2,5,64],[2,6,76],[3,4,52],[3,5,6],[3,6,76],[3,7,9],[4,5,0],[4,6,13],[4,7,88],[5,6,31],[5,7,32],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,1)=1,(3,5)=6,(1,5)=9,(3,7)=9,(4,6)=13,(0,2)=15,(1,2)=20,(1,4)=22,(5,6)=31,(5,7)=32,(0,3)=36,(0,5)=43,(3,4)=52,(2,5)=64,(6,7)=64,(1,6)=66,(1,7)=75,(0,7)=76,(2,6)=76,(3,6)=76,(0,4)=79,(2,4)=86,(4,7)=88,(2,3)=89,(0,6)=93,(1,3)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=4, Add (3,5)=6 Succeeded, w=7\",\"Find(1)=0, Find(5)=4, Add (1,5)=9 Succeeded, w=16\",\"Find(3)=0, Find(7)=7, Add (3,7)=9 Succeeded, w=25\",\"Find(4)=0, Find(6)=6, Add (4,6)=13 Succeeded, w=38\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=20 Failed, w=53\",\"Find(1)=0, Find(4)=0, Add (1,4)=22 Failed, w=53\",\"Find(5)=0, Find(6)=0, Add (5,6)=31 Failed, w=53\",\"Find(5)=0, Find(7)=0, Add (5,7)=32 Failed, w=53\",\"Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=53\",\"Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=53\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=53\",\"Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=53\",\"Find(6)=0, Find(7)=0, Add (6,7)=64 Failed, w=53\",\"Find(1)=0, Find(6)=0, Add (1,6)=66 Failed, w=53\",\"Find(1)=0, Find(7)=0, Add (1,7)=75 Failed, w=53\",\"Find(0)=0, Find(7)=0, Add (0,7)=76 Failed, w=53\",\"Find(2)=0, Find(6)=0, Add (2,6)=76 Failed, w=53\",\"Find(3)=0, Find(6)=0, Add (3,6)=76 Failed, w=53\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=53\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=53\",\"Find(4)=0, Find(7)=0, Add (4,7)=88 Failed, w=53\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=53\",\"Find(0)=0, Find(6)=0, Add (0,6)=93 Failed, w=53\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,2,15],[0,3,36],[0,4,79],[0,5,43],[0,6,93],[0,7,76],[1,2,20],[1,3,95],[1,4,22],[1,5,9],[1,6,66],[1,7,75],[2,3,89],[2,4,86],[2,5,64],[2,6,76],[3,4,52],[3,5,6],[3,6,76],[3,7,9],[4,5,0],[4,6,13],[4,7,88],[5,6,31],[5,7,32],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,1)=1,(3,5)=6,(1,5)=9,(3,7)=9,(4,6)=13,(0,2)=15,(1,2)=20,(1,4)=22,(5,6)=31,(5,7)=32,(0,3)=36,(0,5)=43,(3,4)=52,(2,5)=64,(6,7)=64,(1,6)=66,(1,7)=75,(0,7)=76,(2,6)=76,(3,6)=76,(0,4)=79,(2,4)=86,(4,7)=88,(2,3)=89,(0,6)=93,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(3)=3, Find(5)=4, Add (3,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 0, 5: 4, 6: 6, 7: 7}, Find(1)=0, Find(5)=4, Add (1,5)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=9 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(4)=0, Find(6)=6, Add (4,6)=13 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=20 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=22 Failed, w=53\",\"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)=31 Failed, w=53\",\"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)=32 Failed, w=53\",\"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)=36 Failed, w=53\",\"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)=43 Failed, w=53\",\"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)=52 Failed, w=53\",\"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)=64 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=64 Failed, w=53\",\"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)=66 Failed, w=53\",\"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)=75 Failed, w=53\",\"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)=76 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=76 Failed, w=53\",\"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)=76 Failed, w=53\",\"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)=79 Failed, w=53\",\"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)=86 Failed, w=53\",\"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)=88 Failed, w=53\",\"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)=89 Failed, w=53\",\"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)=93 Failed, w=53\",\"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)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,2,55],[0,3,9],[0,4,94],[1,3,30],[1,4,94],[2,3,98],[2,4,55],[3,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,55],[0,3,9],[0,4,94],[1,3,30],[1,4,94],[2,3,98],[2,4,55],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,55],[0,3,9],[0,4,94],[1,3,30],[1,4,94],[2,3,98],[2,4,55],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,55],[0,3,9],[0,4,94],[1,3,30],[1,4,94],[2,3,98],[2,4,55],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (1,3)=30, w=39\",\"Add (3,4)=46, w=85\",\"Add (0,2)=55, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,55],[0,3,9],[0,4,94],[1,3,30],[1,4,94],[2,3,98],[2,4,55],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (1,3)=30 Succeeded, w=39\",\"Add (3,4)=46 Succeeded, w=85\",\"Add (0,2)=55 Succeeded, w=140\",\"Add (2,4)=55 Failed, w=140\",\"Add (0,1)=86 Failed, w=140\",\"Add (0,4)=94 Failed, w=140\",\"Add (1,4)=94 Failed, w=140\",\"Add (2,3)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,55],[0,3,9],[0,4,94],[1,3,30],[1,4,94],[2,3,98],[2,4,55],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(1,3)=30,(3,4)=46,(0,2)=55,(2,4)=55,(0,1)=86,(0,4)=94,(1,4)=94,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(3)=0, Add (1,3)=30 Succeeded, w=39\",\"Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=85\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=140\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=140\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=140\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=140\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=140\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,55],[0,3,9],[0,4,94],[1,3,30],[1,4,94],[2,3,98],[2,4,55],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(1,3)=30,(3,4)=46,(0,2)=55,(2,4)=55,(0,1)=86,(0,4)=94,(1,4)=94,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=30 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[0,2,69],[0,3,54],[1,2,65],[1,3,92],[2,3,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,69],[0,3,54],[1,2,65],[1,3,92],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,69],[0,3,54],[1,2,65],[1,3,92],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,69],[0,3,54],[1,2,65],[1,3,92],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=36, w=36\",\"Add (0,1)=41, w=77\",\"Add (0,3)=54, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,69],[0,3,54],[1,2,65],[1,3,92],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=36 Succeeded, w=36\",\"Add (0,1)=41 Succeeded, w=77\",\"Add (0,3)=54 Succeeded, w=131\",\"Add (1,2)=65 Failed, w=131\",\"Add (0,2)=69 Failed, w=131\",\"Add (1,3)=92 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,69],[0,3,54],[1,2,65],[1,3,92],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=36,(0,1)=41,(0,3)=54,(1,2)=65,(0,2)=69,(1,3)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=77\",\"Find(0)=0, Find(3)=2, Add (0,3)=54 Succeeded, w=131\",\"Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=131\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=131\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,69],[0,3,54],[1,2,65],[1,3,92],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=36,(0,1)=41,(0,3)=54,(1,2)=65,(0,2)=69,(1,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=54 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=65 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,1],[0,2,10],[0,3,20],[0,4,5],[2,3,9],[3,4,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,10],[0,3,20],[0,4,5],[2,3,9],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":17}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,10],[0,3,20],[0,4,5],[2,3,9],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":17}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,10],[0,3,20],[0,4,5],[2,3,9],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (3,4)=2, w=3\",\"Add (0,4)=5, w=8\",\"Add (2,3)=9, w=17\"],\"Answer\":17}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,10],[0,3,20],[0,4,5],[2,3,9],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (3,4)=2 Succeeded, w=3\",\"Add (0,4)=5 Succeeded, w=8\",\"Add (2,3)=9 Succeeded, w=17\",\"Add (0,2)=10 Failed, w=17\",\"Add (0,3)=20 Failed, w=17\"],\"Answer\":17}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,10],[0,3,20],[0,4,5],[2,3,9],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(3,4)=2,(0,4)=5,(2,3)=9,(0,2)=10,(0,3)=20]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=3\",\"Find(0)=0, Find(4)=3, Add (0,4)=5 Succeeded, w=8\",\"Find(2)=2, Find(3)=0, Add (2,3)=9 Succeeded, w=17\",\"Find(0)=0, Find(2)=0, Add (0,2)=10 Failed, w=17\",\"Find(0)=0, Find(3)=0, Add (0,3)=20 Failed, w=17\"],\"Answer\":17}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,2,10],[0,3,20],[0,4,5],[2,3,9],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(3,4)=2,(0,4)=5,(2,3)=9,(0,2)=10,(0,3)=20]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=2, Find(3)=0, Add (2,3)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=0, Add (0,2)=10 Failed, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=20 Failed, w=17\"],\"Answer\":17}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,32],[0,4,39],[0,5,20],[0,7,57],[1,4,68],[1,6,60],[2,6,78],[2,7,35],[4,6,24],[5,7,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,4,39],[0,5,20],[0,7,57],[1,4,68],[1,6,60],[2,6,78],[2,7,35],[4,6,24],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,4,39],[0,5,20],[0,7,57],[1,4,68],[1,6,60],[2,6,78],[2,7,35],[4,6,24],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (2,7)\",\"Add (0,4)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,4,39],[0,5,20],[0,7,57],[1,4,68],[1,6,60],[2,6,78],[2,7,35],[4,6,24],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=19, w=19\",\"Add (0,5)=20, w=39\",\"Add (4,6)=24, w=63\",\"Add (0,1)=32, w=95\",\"Add (2,7)=35, w=130\",\"Add (0,4)=39, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,4,39],[0,5,20],[0,7,57],[1,4,68],[1,6,60],[2,6,78],[2,7,35],[4,6,24],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=19 Succeeded, w=19\",\"Add (0,5)=20 Succeeded, w=39\",\"Add (4,6)=24 Succeeded, w=63\",\"Add (0,1)=32 Succeeded, w=95\",\"Add (2,7)=35 Succeeded, w=130\",\"Add (0,4)=39 Succeeded, w=169\",\"Add (0,7)=57 Failed, w=169\",\"Add (1,6)=60 Failed, w=169\",\"Add (1,4)=68 Failed, w=169\",\"Add (2,6)=78 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,4,39],[0,5,20],[0,7,57],[1,4,68],[1,6,60],[2,6,78],[2,7,35],[4,6,24],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=19,(0,5)=20,(4,6)=24,(0,1)=32,(2,7)=35,(0,4)=39,(0,7)=57,(1,6)=60,(1,4)=68,(2,6)=78]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=19 Succeeded, w=19\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=39\",\"Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=63\",\"Find(0)=5, Find(1)=1, Add (0,1)=32 Succeeded, w=95\",\"Find(2)=2, Find(7)=5, Add (2,7)=35 Succeeded, w=130\",\"Find(0)=5, Find(4)=4, Add (0,4)=39 Succeeded, w=169\",\"Find(0)=5, Find(7)=5, Add (0,7)=57 Failed, w=169\",\"Find(1)=5, Find(6)=5, Add (1,6)=60 Failed, w=169\",\"Find(1)=5, Find(4)=5, Add (1,4)=68 Failed, w=169\",\"Find(2)=5, Find(6)=5, Add (2,6)=78 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,4,39],[0,5,20],[0,7,57],[1,4,68],[1,6,60],[2,6,78],[2,7,35],[4,6,24],[5,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=19,(0,5)=20,(4,6)=24,(0,1)=32,(2,7)=35,(0,4)=39,(0,7)=57,(1,6)=60,(1,4)=68,(2,6)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=19 Succeeded, w=19\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=39\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 5}, Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=63\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 5}, Find(0)=5, Find(1)=1, Add (0,1)=32 Succeeded, w=95\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 4, 7: 5}, Find(2)=2, Find(7)=5, Add (2,7)=35 Succeeded, w=130\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 4, 7: 5}, Find(0)=5, Find(4)=4, Add (0,4)=39 Succeeded, w=169\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 4, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=57 Failed, w=169\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=60 Failed, w=169\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=68 Failed, w=169\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=78 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,2],[0,3,84],[0,4,24],[0,5,84],[1,2,56],[1,5,89],[1,6,59],[1,7,26],[2,3,27],[2,4,93],[2,5,48],[2,6,73],[2,7,12],[3,4,8],[3,6,85],[3,7,45],[4,5,100],[4,6,2],[4,7,11],[6,7,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,2],[0,3,84],[0,4,24],[0,5,84],[1,2,56],[1,5,89],[1,6,59],[1,7,26],[2,3,27],[2,4,93],[2,5,48],[2,6,73],[2,7,12],[3,4,8],[3,6,85],[3,7,45],[4,5,100],[4,6,2],[4,7,11],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,2],[0,3,84],[0,4,24],[0,5,84],[1,2,56],[1,5,89],[1,6,59],[1,7,26],[2,3,27],[2,4,93],[2,5,48],[2,6,73],[2,7,12],[3,4,8],[3,6,85],[3,7,45],[4,5,100],[4,6,2],[4,7,11],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (2,7)\",\"Add (1,7)\",\"Add (2,5)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,2],[0,3,84],[0,4,24],[0,5,84],[1,2,56],[1,5,89],[1,6,59],[1,7,26],[2,3,27],[2,4,93],[2,5,48],[2,6,73],[2,7,12],[3,4,8],[3,6,85],[3,7,45],[4,5,100],[4,6,2],[4,7,11],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (4,6)=2, w=4\",\"Add (3,4)=8, w=12\",\"Add (6,7)=9, w=21\",\"Add (2,7)=12, w=33\",\"Add (1,7)=26, w=59\",\"Add (2,5)=48, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,2],[0,3,84],[0,4,24],[0,5,84],[1,2,56],[1,5,89],[1,6,59],[1,7,26],[2,3,27],[2,4,93],[2,5,48],[2,6,73],[2,7,12],[3,4,8],[3,6,85],[3,7,45],[4,5,100],[4,6,2],[4,7,11],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (4,6)=2 Succeeded, w=4\",\"Add (3,4)=8 Succeeded, w=12\",\"Add (6,7)=9 Succeeded, w=21\",\"Add (4,7)=11 Failed, w=21\",\"Add (2,7)=12 Succeeded, w=33\",\"Add (0,4)=24 Failed, w=33\",\"Add (1,7)=26 Succeeded, w=59\",\"Add (2,3)=27 Failed, w=59\",\"Add (3,7)=45 Failed, w=59\",\"Add (2,5)=48 Succeeded, w=107\",\"Add (1,2)=56 Failed, w=107\",\"Add (1,6)=59 Failed, w=107\",\"Add (2,6)=73 Failed, w=107\",\"Add (0,3)=84 Failed, w=107\",\"Add (0,5)=84 Failed, w=107\",\"Add (3,6)=85 Failed, w=107\",\"Add (1,5)=89 Failed, w=107\",\"Add (2,4)=93 Failed, w=107\",\"Add (4,5)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,2],[0,3,84],[0,4,24],[0,5,84],[1,2,56],[1,5,89],[1,6,59],[1,7,26],[2,3,27],[2,4,93],[2,5,48],[2,6,73],[2,7,12],[3,4,8],[3,6,85],[3,7,45],[4,5,100],[4,6,2],[4,7,11],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(4,6)=2,(3,4)=8,(6,7)=9,(4,7)=11,(2,7)=12,(0,4)=24,(1,7)=26,(2,3)=27,(3,7)=45,(2,5)=48,(1,2)=56,(1,6)=59,(2,6)=73,(0,3)=84,(0,5)=84,(3,6)=85,(1,5)=89,(2,4)=93,(4,5)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=4\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=12\",\"Find(6)=4, Find(7)=7, Add (6,7)=9 Succeeded, w=21\",\"Find(4)=4, Find(7)=4, Add (4,7)=11 Failed, w=21\",\"Find(2)=0, Find(7)=4, Add (2,7)=12 Succeeded, w=33\",\"Find(0)=0, Find(4)=0, Add (0,4)=24 Failed, w=33\",\"Find(1)=1, Find(7)=0, Add (1,7)=26 Succeeded, w=59\",\"Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=59\",\"Find(3)=0, Find(7)=0, Add (3,7)=45 Failed, w=59\",\"Find(2)=0, Find(5)=5, Add (2,5)=48 Succeeded, w=107\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=107\",\"Find(1)=0, Find(6)=0, Add (1,6)=59 Failed, w=107\",\"Find(2)=0, Find(6)=0, Add (2,6)=73 Failed, w=107\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=107\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=107\",\"Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=107\",\"Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=107\",\"Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=107\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,2],[0,3,84],[0,4,24],[0,5,84],[1,2,56],[1,5,89],[1,6,59],[1,7,26],[2,3,27],[2,4,93],[2,5,48],[2,6,73],[2,7,12],[3,4,8],[3,6,85],[3,7,45],[4,5,100],[4,6,2],[4,7,11],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(4,6)=2,(3,4)=8,(6,7)=9,(4,7)=11,(2,7)=12,(0,4)=24,(1,7)=26,(2,3)=27,(3,7)=45,(2,5)=48,(1,2)=56,(1,6)=59,(2,6)=73,(0,3)=84,(0,5)=84,(3,6)=85,(1,5)=89,(2,4)=93,(4,5)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 4, 5: 5, 6: 4, 7: 4}, Find(6)=4, Find(7)=7, Add (6,7)=9 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 4, 5: 5, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=11 Failed, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 0, 5: 5, 6: 4, 7: 4}, Find(2)=0, Find(7)=4, Add (2,7)=12 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 0, 5: 5, 6: 4, 7: 4}, Find(0)=0, Find(4)=0, Add (0,4)=24 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 5, 6: 4, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=26 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=45 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=48 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=107\",\"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)=59 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=73 Failed, w=107\",\"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)=84 Failed, w=107\",\"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)=84 Failed, w=107\",\"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)=85 Failed, w=107\",\"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)=89 Failed, w=107\",\"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)=93 Failed, w=107\",\"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)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,2,8],[0,3,14],[0,4,47],[0,5,73],[0,6,18],[0,7,73],[1,2,59],[1,3,33],[1,4,58],[1,5,76],[1,6,31],[1,7,29],[2,3,57],[2,4,82],[2,5,74],[2,6,65],[2,7,60],[3,4,99],[3,5,54],[3,6,13],[3,7,4],[4,5,55],[4,6,22],[4,7,76],[5,6,37],[5,7,43],[6,7,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,8],[0,3,14],[0,4,47],[0,5,73],[0,6,18],[0,7,73],[1,2,59],[1,3,33],[1,4,58],[1,5,76],[1,6,31],[1,7,29],[2,3,57],[2,4,82],[2,5,74],[2,6,65],[2,7,60],[3,4,99],[3,5,54],[3,6,13],[3,7,4],[4,5,55],[4,6,22],[4,7,76],[5,6,37],[5,7,43],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,8],[0,3,14],[0,4,47],[0,5,73],[0,6,18],[0,7,73],[1,2,59],[1,3,33],[1,4,58],[1,5,76],[1,6,31],[1,7,29],[2,3,57],[2,4,82],[2,5,74],[2,6,65],[2,7,60],[3,4,99],[3,5,54],[3,6,13],[3,7,4],[4,5,55],[4,6,22],[4,7,76],[5,6,37],[5,7,43],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (4,6)\",\"Add (1,7)\",\"Add (5,6)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,8],[0,3,14],[0,4,47],[0,5,73],[0,6,18],[0,7,73],[1,2,59],[1,3,33],[1,4,58],[1,5,76],[1,6,31],[1,7,29],[2,3,57],[2,4,82],[2,5,74],[2,6,65],[2,7,60],[3,4,99],[3,5,54],[3,6,13],[3,7,4],[4,5,55],[4,6,22],[4,7,76],[5,6,37],[5,7,43],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4, w=4\",\"Add (0,2)=8, w=12\",\"Add (3,6)=13, w=25\",\"Add (0,3)=14, w=39\",\"Add (4,6)=22, w=61\",\"Add (1,7)=29, w=90\",\"Add (5,6)=37, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,8],[0,3,14],[0,4,47],[0,5,73],[0,6,18],[0,7,73],[1,2,59],[1,3,33],[1,4,58],[1,5,76],[1,6,31],[1,7,29],[2,3,57],[2,4,82],[2,5,74],[2,6,65],[2,7,60],[3,4,99],[3,5,54],[3,6,13],[3,7,4],[4,5,55],[4,6,22],[4,7,76],[5,6,37],[5,7,43],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4 Succeeded, w=4\",\"Add (0,2)=8 Succeeded, w=12\",\"Add (3,6)=13 Succeeded, w=25\",\"Add (0,3)=14 Succeeded, w=39\",\"Add (0,6)=18 Failed, w=39\",\"Add (4,6)=22 Succeeded, w=61\",\"Add (1,7)=29 Succeeded, w=90\",\"Add (1,6)=31 Failed, w=90\",\"Add (1,3)=33 Failed, w=90\",\"Add (5,6)=37 Succeeded, w=127\",\"Add (5,7)=43 Failed, w=127\",\"Add (0,4)=47 Failed, w=127\",\"Add (3,5)=54 Failed, w=127\",\"Add (4,5)=55 Failed, w=127\",\"Add (2,3)=57 Failed, w=127\",\"Add (1,4)=58 Failed, w=127\",\"Add (1,2)=59 Failed, w=127\",\"Add (2,7)=60 Failed, w=127\",\"Add (2,6)=65 Failed, w=127\",\"Add (0,5)=73 Failed, w=127\",\"Add (0,7)=73 Failed, w=127\",\"Add (2,5)=74 Failed, w=127\",\"Add (0,1)=75 Failed, w=127\",\"Add (6,7)=75 Failed, w=127\",\"Add (1,5)=76 Failed, w=127\",\"Add (4,7)=76 Failed, w=127\",\"Add (2,4)=82 Failed, w=127\",\"Add (3,4)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,8],[0,3,14],[0,4,47],[0,5,73],[0,6,18],[0,7,73],[1,2,59],[1,3,33],[1,4,58],[1,5,76],[1,6,31],[1,7,29],[2,3,57],[2,4,82],[2,5,74],[2,6,65],[2,7,60],[3,4,99],[3,5,54],[3,6,13],[3,7,4],[4,5,55],[4,6,22],[4,7,76],[5,6,37],[5,7,43],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(0,2)=8,(3,6)=13,(0,3)=14,(0,6)=18,(4,6)=22,(1,7)=29,(1,6)=31,(1,3)=33,(5,6)=37,(5,7)=43,(0,4)=47,(3,5)=54,(4,5)=55,(2,3)=57,(1,4)=58,(1,2)=59,(2,7)=60,(2,6)=65,(0,5)=73,(0,7)=73,(2,5)=74,(0,1)=75,(6,7)=75,(1,5)=76,(4,7)=76,(2,4)=82,(3,4)=99]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=12\",\"Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=25\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=39\",\"Find(0)=0, Find(6)=0, Add (0,6)=18 Failed, w=39\",\"Find(4)=4, Find(6)=0, Add (4,6)=22 Succeeded, w=61\",\"Find(1)=1, Find(7)=0, Add (1,7)=29 Succeeded, w=90\",\"Find(1)=0, Find(6)=0, Add (1,6)=31 Failed, w=90\",\"Find(1)=0, Find(3)=0, Add (1,3)=33 Failed, w=90\",\"Find(5)=5, Find(6)=0, Add (5,6)=37 Succeeded, w=127\",\"Find(5)=0, Find(7)=0, Add (5,7)=43 Failed, w=127\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=127\",\"Find(3)=0, Find(5)=0, Add (3,5)=54 Failed, w=127\",\"Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=127\",\"Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=127\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=127\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=127\",\"Find(2)=0, Find(7)=0, Add (2,7)=60 Failed, w=127\",\"Find(2)=0, Find(6)=0, Add (2,6)=65 Failed, w=127\",\"Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=127\",\"Find(0)=0, Find(7)=0, Add (0,7)=73 Failed, w=127\",\"Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=127\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=127\",\"Find(6)=0, Find(7)=0, Add (6,7)=75 Failed, w=127\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=127\",\"Find(4)=0, Find(7)=0, Add (4,7)=76 Failed, w=127\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=127\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,8],[0,3,14],[0,4,47],[0,5,73],[0,6,18],[0,7,73],[1,2,59],[1,3,33],[1,4,58],[1,5,76],[1,6,31],[1,7,29],[2,3,57],[2,4,82],[2,5,74],[2,6,65],[2,7,60],[3,4,99],[3,5,54],[3,6,13],[3,7,4],[4,5,55],[4,6,22],[4,7,76],[5,6,37],[5,7,43],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(0,2)=8,(3,6)=13,(0,3)=14,(0,6)=18,(4,6)=22,(1,7)=29,(1,6)=31,(1,3)=33,(5,6)=37,(5,7)=43,(0,4)=47,(3,5)=54,(4,5)=55,(2,3)=57,(1,4)=58,(1,2)=59,(2,7)=60,(2,6)=65,(0,5)=73,(0,7)=73,(2,5)=74,(0,1)=75,(6,7)=75,(1,5)=76,(4,7)=76,(2,4)=82,(3,4)=99]\",\"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: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 3}, Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 3, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 3}, Find(0)=0, Find(6)=0, Add (0,6)=18 Failed, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 3}, Find(4)=4, Find(6)=0, Add (4,6)=22 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=29 Succeeded, w=90\",\"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)=31 Failed, w=90\",\"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)=33 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(6)=0, Add (5,6)=37 Succeeded, w=127\",\"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)=43 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=127\",\"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)=54 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=127\",\"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)=57 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=127\",\"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)=59 Failed, w=127\",\"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)=60 Failed, w=127\",\"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)=65 Failed, w=127\",\"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)=73 Failed, w=127\",\"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)=73 Failed, w=127\",\"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)=74 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=75 Failed, w=127\",\"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)=76 Failed, w=127\",\"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)=76 Failed, w=127\",\"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)=82 Failed, w=127\",\"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)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,69],[0,3,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=69, w=69\",\"Add (0,3)=99, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=69 Succeeded, w=69\",\"Add (0,3)=99 Succeeded, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=69,(0,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=69 Succeeded, w=69\",\"Find(0)=0, Find(3)=3, Add (0,3)=99 Succeeded, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=69,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=69 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=99 Succeeded, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,2,30],[0,3,77],[0,4,1],[0,5,39],[1,2,15],[1,3,14],[1,5,31],[2,3,79],[2,4,76],[2,5,65],[3,4,57],[3,5,67],[4,5,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,30],[0,3,77],[0,4,1],[0,5,39],[1,2,15],[1,3,14],[1,5,31],[2,3,79],[2,4,76],[2,5,65],[3,4,57],[3,5,67],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,30],[0,3,77],[0,4,1],[0,5,39],[1,2,15],[1,3,14],[1,5,31],[2,3,79],[2,4,76],[2,5,65],[3,4,57],[3,5,67],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,30],[0,3,77],[0,4,1],[0,5,39],[1,2,15],[1,3,14],[1,5,31],[2,3,79],[2,4,76],[2,5,65],[3,4,57],[3,5,67],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (1,3)=14, w=15\",\"Add (1,2)=15, w=30\",\"Add (0,2)=30, w=60\",\"Add (1,5)=31, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,30],[0,3,77],[0,4,1],[0,5,39],[1,2,15],[1,3,14],[1,5,31],[2,3,79],[2,4,76],[2,5,65],[3,4,57],[3,5,67],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (1,3)=14 Succeeded, w=15\",\"Add (1,2)=15 Succeeded, w=30\",\"Add (0,2)=30 Succeeded, w=60\",\"Add (1,5)=31 Succeeded, w=91\",\"Add (0,5)=39 Failed, w=91\",\"Add (0,1)=50 Failed, w=91\",\"Add (3,4)=57 Failed, w=91\",\"Add (2,5)=65 Failed, w=91\",\"Add (3,5)=67 Failed, w=91\",\"Add (4,5)=74 Failed, w=91\",\"Add (2,4)=76 Failed, w=91\",\"Add (0,3)=77 Failed, w=91\",\"Add (2,3)=79 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,30],[0,3,77],[0,4,1],[0,5,39],[1,2,15],[1,3,14],[1,5,31],[2,3,79],[2,4,76],[2,5,65],[3,4,57],[3,5,67],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,3)=14,(1,2)=15,(0,2)=30,(1,5)=31,(0,5)=39,(0,1)=50,(3,4)=57,(2,5)=65,(3,5)=67,(4,5)=74,(2,4)=76,(0,3)=77,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=30\",\"Find(0)=0, Find(2)=1, Add (0,2)=30 Succeeded, w=60\",\"Find(1)=0, Find(5)=5, Add (1,5)=31 Succeeded, w=91\",\"Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=91\",\"Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=57 Failed, w=91\",\"Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=91\",\"Find(3)=0, Find(5)=0, Add (3,5)=67 Failed, w=91\",\"Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=91\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=91\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,30],[0,3,77],[0,4,1],[0,5,39],[1,2,15],[1,3,14],[1,5,31],[2,3,79],[2,4,76],[2,5,65],[3,4,57],[3,5,67],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,3)=14,(1,2)=15,(0,2)=30,(1,5)=31,(0,5)=39,(0,1)=50,(3,4)=57,(2,5)=65,(3,5)=67,(4,5)=74,(2,4)=76,(0,3)=77,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=30 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=31 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=57 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=67 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,2,51],[0,3,69],[0,4,25],[0,5,53],[0,6,95],[1,2,55],[1,3,30],[1,4,18],[1,5,28],[1,6,67],[2,3,68],[2,4,73],[2,5,3],[2,6,28],[3,4,5],[3,5,69],[3,6,86],[4,5,41],[4,6,3],[5,6,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,69],[0,4,25],[0,5,53],[0,6,95],[1,2,55],[1,3,30],[1,4,18],[1,5,28],[1,6,67],[2,3,68],[2,4,73],[2,5,3],[2,6,28],[3,4,5],[3,5,69],[3,6,86],[4,5,41],[4,6,3],[5,6,29]]}",
"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\":[[0,1,71],[0,2,51],[0,3,69],[0,4,25],[0,5,53],[0,6,95],[1,2,55],[1,3,30],[1,4,18],[1,5,28],[1,6,67],[2,3,68],[2,4,73],[2,5,3],[2,6,28],[3,4,5],[3,5,69],[3,6,86],[4,5,41],[4,6,3],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,69],[0,4,25],[0,5,53],[0,6,95],[1,2,55],[1,3,30],[1,4,18],[1,5,28],[1,6,67],[2,3,68],[2,4,73],[2,5,3],[2,6,28],[3,4,5],[3,5,69],[3,6,86],[4,5,41],[4,6,3],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (4,6)=3, w=6\",\"Add (3,4)=5, w=11\",\"Add (1,4)=18, w=29\",\"Add (0,4)=25, w=54\",\"Add (1,5)=28, 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\":[[0,1,71],[0,2,51],[0,3,69],[0,4,25],[0,5,53],[0,6,95],[1,2,55],[1,3,30],[1,4,18],[1,5,28],[1,6,67],[2,3,68],[2,4,73],[2,5,3],[2,6,28],[3,4,5],[3,5,69],[3,6,86],[4,5,41],[4,6,3],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (4,6)=3 Succeeded, w=6\",\"Add (3,4)=5 Succeeded, w=11\",\"Add (1,4)=18 Succeeded, w=29\",\"Add (0,4)=25 Succeeded, w=54\",\"Add (1,5)=28 Succeeded, w=82\",\"Add (2,6)=28 Failed, w=82\",\"Add (5,6)=29 Failed, w=82\",\"Add (1,3)=30 Failed, w=82\",\"Add (4,5)=41 Failed, w=82\",\"Add (0,2)=51 Failed, w=82\",\"Add (0,5)=53 Failed, w=82\",\"Add (1,2)=55 Failed, w=82\",\"Add (1,6)=67 Failed, w=82\",\"Add (2,3)=68 Failed, w=82\",\"Add (0,3)=69 Failed, w=82\",\"Add (3,5)=69 Failed, w=82\",\"Add (0,1)=71 Failed, w=82\",\"Add (2,4)=73 Failed, w=82\",\"Add (3,6)=86 Failed, w=82\",\"Add (0,6)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,69],[0,4,25],[0,5,53],[0,6,95],[1,2,55],[1,3,30],[1,4,18],[1,5,28],[1,6,67],[2,3,68],[2,4,73],[2,5,3],[2,6,28],[3,4,5],[3,5,69],[3,6,86],[4,5,41],[4,6,3],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(4,6)=3,(3,4)=5,(1,4)=18,(0,4)=25,(1,5)=28,(2,6)=28,(5,6)=29,(1,3)=30,(4,5)=41,(0,2)=51,(0,5)=53,(1,2)=55,(1,6)=67,(2,3)=68,(0,3)=69,(3,5)=69,(0,1)=71,(2,4)=73,(3,6)=86,(0,6)=95]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=6\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=29\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=54\",\"Find(1)=4, Find(5)=2, Add (1,5)=28 Succeeded, w=82\",\"Find(2)=4, Find(6)=4, Add (2,6)=28 Failed, w=82\",\"Find(5)=4, Find(6)=4, Add (5,6)=29 Failed, w=82\",\"Find(1)=4, Find(3)=4, Add (1,3)=30 Failed, w=82\",\"Find(4)=4, Find(5)=4, Add (4,5)=41 Failed, w=82\",\"Find(0)=4, Find(2)=4, Add (0,2)=51 Failed, w=82\",\"Find(0)=4, Find(5)=4, Add (0,5)=53 Failed, w=82\",\"Find(1)=4, Find(2)=4, Add (1,2)=55 Failed, w=82\",\"Find(1)=4, Find(6)=4, Add (1,6)=67 Failed, w=82\",\"Find(2)=4, Find(3)=4, Add (2,3)=68 Failed, w=82\",\"Find(0)=4, Find(3)=4, Add (0,3)=69 Failed, w=82\",\"Find(3)=4, Find(5)=4, Add (3,5)=69 Failed, w=82\",\"Find(0)=4, Find(1)=4, Add (0,1)=71 Failed, w=82\",\"Find(2)=4, Find(4)=4, Add (2,4)=73 Failed, w=82\",\"Find(3)=4, Find(6)=4, Add (3,6)=86 Failed, w=82\",\"Find(0)=4, Find(6)=4, Add (0,6)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,69],[0,4,25],[0,5,53],[0,6,95],[1,2,55],[1,3,30],[1,4,18],[1,5,28],[1,6,67],[2,3,68],[2,4,73],[2,5,3],[2,6,28],[3,4,5],[3,5,69],[3,6,86],[4,5,41],[4,6,3],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(4,6)=3,(3,4)=5,(1,4)=18,(0,4)=25,(1,5)=28,(2,6)=28,(5,6)=29,(1,3)=30,(4,5)=41,(0,2)=51,(0,5)=53,(1,2)=55,(1,6)=67,(2,3)=68,(0,3)=69,(3,5)=69,(0,1)=71,(2,4)=73,(3,6)=86,(0,6)=95]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=29\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(1)=4, Find(5)=2, Add (1,5)=28 Succeeded, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=28 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=29 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=30 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=4, Add (4,5)=41 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=51 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=53 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=55 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=67 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=68 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=69 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=69 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=71 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=73 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=86 Failed, w=82\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=95 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,11],[0,2,71],[0,3,79],[0,4,76],[1,2,96],[1,4,23],[2,3,16],[2,4,15],[3,4,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,71],[0,3,79],[0,4,76],[1,2,96],[1,4,23],[2,3,16],[2,4,15],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,71],[0,3,79],[0,4,76],[1,2,96],[1,4,23],[2,3,16],[2,4,15],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,71],[0,3,79],[0,4,76],[1,2,96],[1,4,23],[2,3,16],[2,4,15],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (3,4)=13, w=24\",\"Add (2,4)=15, w=39\",\"Add (1,4)=23, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,71],[0,3,79],[0,4,76],[1,2,96],[1,4,23],[2,3,16],[2,4,15],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (3,4)=13 Succeeded, w=24\",\"Add (2,4)=15 Succeeded, w=39\",\"Add (2,3)=16 Failed, w=39\",\"Add (1,4)=23 Succeeded, w=62\",\"Add (0,2)=71 Failed, w=62\",\"Add (0,4)=76 Failed, w=62\",\"Add (0,3)=79 Failed, w=62\",\"Add (1,2)=96 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,71],[0,3,79],[0,4,76],[1,2,96],[1,4,23],[2,3,16],[2,4,15],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(3,4)=13,(2,4)=15,(2,3)=16,(1,4)=23,(0,2)=71,(0,4)=76,(0,3)=79,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=24\",\"Find(2)=2, Find(4)=3, Add (2,4)=15 Succeeded, w=39\",\"Find(2)=3, Find(3)=3, Add (2,3)=16 Failed, w=39\",\"Find(1)=0, Find(4)=3, Add (1,4)=23 Succeeded, w=62\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=62\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=62\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=62\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,71],[0,3,79],[0,4,76],[1,2,96],[1,4,23],[2,3,16],[2,4,15],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(3,4)=13,(2,4)=15,(2,3)=16,(1,4)=23,(0,2)=71,(0,4)=76,(0,3)=79,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=16 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(1)=0, Find(4)=3, Add (1,4)=23 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,7,47],[1,2,76],[1,3,80],[1,4,23],[1,6,29],[1,7,30],[4,5,10],[4,7,36],[5,6,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,7,47],[1,2,76],[1,3,80],[1,4,23],[1,6,29],[1,7,30],[4,5,10],[4,7,36],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,7,47],[1,2,76],[1,3,80],[1,4,23],[1,6,29],[1,7,30],[4,5,10],[4,7,36],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (1,7)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,7,47],[1,2,76],[1,3,80],[1,4,23],[1,6,29],[1,7,30],[4,5,10],[4,7,36],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (4,5)=10, w=20\",\"Add (1,4)=23, w=43\",\"Add (1,6)=29, w=72\",\"Add (1,7)=30, w=102\",\"Add (1,2)=76, w=178\",\"Add (1,3)=80, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,7,47],[1,2,76],[1,3,80],[1,4,23],[1,6,29],[1,7,30],[4,5,10],[4,7,36],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (4,5)=10 Succeeded, w=20\",\"Add (1,4)=23 Succeeded, w=43\",\"Add (1,6)=29 Succeeded, w=72\",\"Add (1,7)=30 Succeeded, w=102\",\"Add (4,7)=36 Failed, w=102\",\"Add (0,7)=47 Failed, w=102\",\"Add (5,6)=66 Failed, w=102\",\"Add (1,2)=76 Succeeded, w=178\",\"Add (1,3)=80 Succeeded, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,7,47],[1,2,76],[1,3,80],[1,4,23],[1,6,29],[1,7,30],[4,5,10],[4,7,36],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(4,5)=10,(1,4)=23,(1,6)=29,(1,7)=30,(4,7)=36,(0,7)=47,(5,6)=66,(1,2)=76,(1,3)=80]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=20\",\"Find(1)=0, Find(4)=4, Add (1,4)=23 Succeeded, w=43\",\"Find(1)=0, Find(6)=6, Add (1,6)=29 Succeeded, w=72\",\"Find(1)=0, Find(7)=7, Add (1,7)=30 Succeeded, w=102\",\"Find(4)=0, Find(7)=0, Add (4,7)=36 Failed, w=102\",\"Find(0)=0, Find(7)=0, Add (0,7)=47 Failed, w=102\",\"Find(5)=0, Find(6)=0, Add (5,6)=66 Failed, w=102\",\"Find(1)=0, Find(2)=2, Add (1,2)=76 Succeeded, w=178\",\"Find(1)=0, Find(3)=3, Add (1,3)=80 Succeeded, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,7,47],[1,2,76],[1,3,80],[1,4,23],[1,6,29],[1,7,30],[4,5,10],[4,7,36],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(4,5)=10,(1,4)=23,(1,6)=29,(1,7)=30,(4,7)=36,(0,7)=47,(5,6)=66,(1,2)=76,(1,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 6, 7: 7}, Find(1)=0, Find(4)=4, Add (1,4)=23 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 7}, Find(1)=0, Find(6)=6, Add (1,6)=29 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=30 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=36 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=47 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=66 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=76 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=3, Add (1,3)=80 Succeeded, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,89],[0,3,60],[0,4,2],[1,2,62],[1,3,67],[1,4,73],[2,3,27],[2,4,40],[3,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,89],[0,3,60],[0,4,2],[1,2,62],[1,3,67],[1,4,73],[2,3,27],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,89],[0,3,60],[0,4,2],[1,2,62],[1,3,67],[1,4,73],[2,3,27],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,89],[0,3,60],[0,4,2],[1,2,62],[1,3,67],[1,4,73],[2,3,27],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (3,4)=5, w=7\",\"Add (2,3)=27, w=34\",\"Add (0,1)=39, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,89],[0,3,60],[0,4,2],[1,2,62],[1,3,67],[1,4,73],[2,3,27],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,4)=5 Succeeded, w=7\",\"Add (2,3)=27 Succeeded, w=34\",\"Add (0,1)=39 Succeeded, w=73\",\"Add (2,4)=40 Failed, w=73\",\"Add (0,3)=60 Failed, w=73\",\"Add (1,2)=62 Failed, w=73\",\"Add (1,3)=67 Failed, w=73\",\"Add (1,4)=73 Failed, w=73\",\"Add (0,2)=89 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,89],[0,3,60],[0,4,2],[1,2,62],[1,3,67],[1,4,73],[2,3,27],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,4)=5,(2,3)=27,(0,1)=39,(2,4)=40,(0,3)=60,(1,2)=62,(1,3)=67,(1,4)=73,(0,2)=89]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=0, Add (3,4)=5 Succeeded, w=7\",\"Find(2)=2, Find(3)=0, Add (2,3)=27 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=73\",\"Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=73\",\"Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=73\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=73\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=73\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,89],[0,3,60],[0,4,2],[1,2,62],[1,3,67],[1,4,73],[2,3,27],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,4)=5,(2,3)=27,(0,1)=39,(2,4)=40,(0,3)=60,(1,2)=62,(1,3)=67,(1,4)=73,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=27 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,90],[0,4,12],[1,2,12],[1,5,16],[2,4,79],[2,5,95],[3,4,2],[3,5,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,4,12],[1,2,12],[1,5,16],[2,4,79],[2,5,95],[3,4,2],[3,5,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,4,12],[1,2,12],[1,5,16],[2,4,79],[2,5,95],[3,4,2],[3,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (3,5)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,4,12],[1,2,12],[1,5,16],[2,4,79],[2,5,95],[3,4,2],[3,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (0,4)=12, w=14\",\"Add (1,2)=12, w=26\",\"Add (1,5)=16, w=42\",\"Add (3,5)=67, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,4,12],[1,2,12],[1,5,16],[2,4,79],[2,5,95],[3,4,2],[3,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,4)=12 Succeeded, w=14\",\"Add (1,2)=12 Succeeded, w=26\",\"Add (1,5)=16 Succeeded, w=42\",\"Add (3,5)=67 Succeeded, w=109\",\"Add (2,4)=79 Failed, w=109\",\"Add (0,2)=90 Failed, w=109\",\"Add (2,5)=95 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,4,12],[1,2,12],[1,5,16],[2,4,79],[2,5,95],[3,4,2],[3,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,4)=12,(1,2)=12,(1,5)=16,(3,5)=67,(2,4)=79,(0,2)=90,(2,5)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=3, Add (0,4)=12 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=26\",\"Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=42\",\"Find(3)=3, Find(5)=1, Add (3,5)=67 Succeeded, w=109\",\"Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=109\",\"Find(0)=3, Find(2)=3, Add (0,2)=90 Failed, w=109\",\"Find(2)=3, Find(5)=3, Add (2,5)=95 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,4,12],[1,2,12],[1,5,16],[2,4,79],[2,5,95],[3,4,2],[3,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,4)=12,(1,2)=12,(1,5)=16,(3,5)=67,(2,4)=79,(0,2)=90,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(4)=3, Add (0,4)=12 Succeeded, w=14\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=26\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=42\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=67 Succeeded, w=109\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(2)=3, Add (0,2)=90 Failed, w=109\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=95 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,57],[0,2,74],[0,3,83],[1,2,29],[1,3,42],[2,3,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,74],[0,3,83],[1,2,29],[1,3,42],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,74],[0,3,83],[1,2,29],[1,3,42],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,74],[0,3,83],[1,2,29],[1,3,42],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=29, w=29\",\"Add (1,3)=42, w=71\",\"Add (0,1)=57, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,74],[0,3,83],[1,2,29],[1,3,42],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=29 Succeeded, w=29\",\"Add (1,3)=42 Succeeded, w=71\",\"Add (2,3)=48 Failed, w=71\",\"Add (0,1)=57 Succeeded, w=128\",\"Add (0,2)=74 Failed, w=128\",\"Add (0,3)=83 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,74],[0,3,83],[1,2,29],[1,3,42],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=29,(1,3)=42,(2,3)=48,(0,1)=57,(0,2)=74,(0,3)=83]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=29\",\"Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=71\",\"Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=71\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=128\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=128\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,74],[0,3,83],[1,2,29],[1,3,42],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=29,(1,3)=42,(2,3)=48,(0,1)=57,(0,2)=74,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,39],[0,2,76],[1,2,77],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,76],[1,2,77],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,76],[1,2,77],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,76],[1,2,77],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=39, w=39\",\"Add (2,3)=74, w=113\",\"Add (0,2)=76, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,76],[1,2,77],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=39 Succeeded, w=39\",\"Add (2,3)=74 Succeeded, w=113\",\"Add (0,2)=76 Succeeded, w=189\",\"Add (1,2)=77 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,76],[1,2,77],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=39,(2,3)=74,(0,2)=76,(1,2)=77]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=39\",\"Find(2)=2, Find(3)=3, Add (2,3)=74 Succeeded, w=113\",\"Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=189\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,76],[1,2,77],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=39,(2,3)=74,(0,2)=76,(1,2)=77]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=74 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,12],[0,2,16],[1,2,86],[1,3,60],[2,3,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,16],[1,2,86],[1,3,60],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,16],[1,2,86],[1,3,60],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,16],[1,2,86],[1,3,60],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (0,2)=16, w=28\",\"Add (2,3)=25, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,16],[1,2,86],[1,3,60],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (0,2)=16 Succeeded, w=28\",\"Add (2,3)=25 Succeeded, w=53\",\"Add (1,3)=60 Failed, w=53\",\"Add (1,2)=86 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,16],[1,2,86],[1,3,60],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(0,2)=16,(2,3)=25,(1,3)=60,(1,2)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=28\",\"Find(2)=0, Find(3)=3, Add (2,3)=25 Succeeded, w=53\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,2,16],[1,2,86],[1,3,60],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(0,2)=16,(2,3)=25,(1,3)=60,(1,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=25 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,28],[0,3,98],[1,2,18],[1,3,10],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,98],[1,2,18],[1,3,10],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,98],[1,2,18],[1,3,10],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,98],[1,2,18],[1,3,10],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (1,2)=18, w=28\",\"Add (0,2)=28, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,98],[1,2,18],[1,3,10],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (1,2)=18 Succeeded, w=28\",\"Add (0,2)=28 Succeeded, w=56\",\"Add (2,3)=37 Failed, w=56\",\"Add (0,3)=98 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,98],[1,2,18],[1,3,10],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(1,2)=18,(0,2)=28,(2,3)=37,(0,3)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=28\",\"Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=56\",\"Find(2)=1, Find(3)=1, Add (2,3)=37 Failed, w=56\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,98],[1,2,18],[1,3,10],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(1,2)=18,(0,2)=28,(2,3)=37,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=37 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,84],[0,3,73],[0,4,36],[0,5,45],[0,6,43],[1,2,8],[1,5,19],[1,6,14],[2,3,8],[2,4,37],[2,5,66],[2,7,3],[3,4,24],[3,5,59],[3,6,63],[3,7,37],[4,5,69],[4,6,99],[4,7,98],[5,6,87],[5,7,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,3,73],[0,4,36],[0,5,45],[0,6,43],[1,2,8],[1,5,19],[1,6,14],[2,3,8],[2,4,37],[2,5,66],[2,7,3],[3,4,24],[3,5,59],[3,6,63],[3,7,37],[4,5,69],[4,6,99],[4,7,98],[5,6,87],[5,7,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,3,73],[0,4,36],[0,5,45],[0,6,43],[1,2,8],[1,5,19],[1,6,14],[2,3,8],[2,4,37],[2,5,66],[2,7,3],[3,4,24],[3,5,59],[3,6,63],[3,7,37],[4,5,69],[4,6,99],[4,7,98],[5,6,87],[5,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,3,73],[0,4,36],[0,5,45],[0,6,43],[1,2,8],[1,5,19],[1,6,14],[2,3,8],[2,4,37],[2,5,66],[2,7,3],[3,4,24],[3,5,59],[3,6,63],[3,7,37],[4,5,69],[4,6,99],[4,7,98],[5,6,87],[5,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=3, w=3\",\"Add (1,2)=8, w=11\",\"Add (2,3)=8, w=19\",\"Add (1,6)=14, w=33\",\"Add (1,5)=19, w=52\",\"Add (3,4)=24, w=76\",\"Add (0,4)=36, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,3,73],[0,4,36],[0,5,45],[0,6,43],[1,2,8],[1,5,19],[1,6,14],[2,3,8],[2,4,37],[2,5,66],[2,7,3],[3,4,24],[3,5,59],[3,6,63],[3,7,37],[4,5,69],[4,6,99],[4,7,98],[5,6,87],[5,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=3 Succeeded, w=3\",\"Add (1,2)=8 Succeeded, w=11\",\"Add (2,3)=8 Succeeded, w=19\",\"Add (1,6)=14 Succeeded, w=33\",\"Add (1,5)=19 Succeeded, w=52\",\"Add (3,4)=24 Succeeded, w=76\",\"Add (0,4)=36 Succeeded, w=112\",\"Add (2,4)=37 Failed, w=112\",\"Add (3,7)=37 Failed, w=112\",\"Add (5,7)=38 Failed, w=112\",\"Add (0,6)=43 Failed, w=112\",\"Add (0,5)=45 Failed, w=112\",\"Add (3,5)=59 Failed, w=112\",\"Add (3,6)=63 Failed, w=112\",\"Add (2,5)=66 Failed, w=112\",\"Add (4,5)=69 Failed, w=112\",\"Add (0,3)=73 Failed, w=112\",\"Add (0,1)=84 Failed, w=112\",\"Add (5,6)=87 Failed, w=112\",\"Add (4,7)=98 Failed, w=112\",\"Add (4,6)=99 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,3,73],[0,4,36],[0,5,45],[0,6,43],[1,2,8],[1,5,19],[1,6,14],[2,3,8],[2,4,37],[2,5,66],[2,7,3],[3,4,24],[3,5,59],[3,6,63],[3,7,37],[4,5,69],[4,6,99],[4,7,98],[5,6,87],[5,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=3,(1,2)=8,(2,3)=8,(1,6)=14,(1,5)=19,(3,4)=24,(0,4)=36,(2,4)=37,(3,7)=37,(5,7)=38,(0,6)=43,(0,5)=45,(3,5)=59,(3,6)=63,(2,5)=66,(4,5)=69,(0,3)=73,(0,1)=84,(5,6)=87,(4,7)=98,(4,6)=99]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=11\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=19\",\"Find(1)=2, Find(6)=6, Add (1,6)=14 Succeeded, w=33\",\"Find(1)=2, Find(5)=5, Add (1,5)=19 Succeeded, w=52\",\"Find(3)=2, Find(4)=4, Add (3,4)=24 Succeeded, w=76\",\"Find(0)=0, Find(4)=2, Add (0,4)=36 Succeeded, w=112\",\"Find(2)=2, Find(4)=2, Add (2,4)=37 Failed, w=112\",\"Find(3)=2, Find(7)=2, Add (3,7)=37 Failed, w=112\",\"Find(5)=2, Find(7)=2, Add (5,7)=38 Failed, w=112\",\"Find(0)=2, Find(6)=2, Add (0,6)=43 Failed, w=112\",\"Find(0)=2, Find(5)=2, Add (0,5)=45 Failed, w=112\",\"Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=112\",\"Find(3)=2, Find(6)=2, Add (3,6)=63 Failed, w=112\",\"Find(2)=2, Find(5)=2, Add (2,5)=66 Failed, w=112\",\"Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=112\",\"Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=112\",\"Find(0)=2, Find(1)=2, Add (0,1)=84 Failed, w=112\",\"Find(5)=2, Find(6)=2, Add (5,6)=87 Failed, w=112\",\"Find(4)=2, Find(7)=2, Add (4,7)=98 Failed, w=112\",\"Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,3,73],[0,4,36],[0,5,45],[0,6,43],[1,2,8],[1,5,19],[1,6,14],[2,3,8],[2,4,37],[2,5,66],[2,7,3],[3,4,24],[3,5,59],[3,6,63],[3,7,37],[4,5,69],[4,6,99],[4,7,98],[5,6,87],[5,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=3,(1,2)=8,(2,3)=8,(1,6)=14,(1,5)=19,(3,4)=24,(0,4)=36,(2,4)=37,(3,7)=37,(5,7)=38,(0,6)=43,(0,5)=45,(3,5)=59,(3,6)=63,(2,5)=66,(4,5)=69,(0,3)=73,(0,1)=84,(5,6)=87,(4,7)=98,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 2}, Find(1)=2, Find(6)=6, Add (1,6)=14 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=5, Add (1,5)=19 Succeeded, w=52\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=4, Add (3,4)=24 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(4)=2, Add (0,4)=36 Succeeded, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=37 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=37 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=38 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=43 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=45 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=63 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=66 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=84 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=87 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=98 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,12],[0,3,8],[1,2,49],[1,3,18],[1,4,80],[2,3,67],[2,4,95],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,12],[0,3,8],[1,2,49],[1,3,18],[1,4,80],[2,3,67],[2,4,95],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,12],[0,3,8],[1,2,49],[1,3,18],[1,4,80],[2,3,67],[2,4,95],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,12],[0,3,8],[1,2,49],[1,3,18],[1,4,80],[2,3,67],[2,4,95],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (0,2)=12, w=20\",\"Add (1,3)=18, w=38\",\"Add (1,4)=80, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,12],[0,3,8],[1,2,49],[1,3,18],[1,4,80],[2,3,67],[2,4,95],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (0,2)=12 Succeeded, w=20\",\"Add (1,3)=18 Succeeded, w=38\",\"Add (1,2)=49 Failed, w=38\",\"Add (2,3)=67 Failed, w=38\",\"Add (1,4)=80 Succeeded, w=118\",\"Add (3,4)=94 Failed, w=118\",\"Add (2,4)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,12],[0,3,8],[1,2,49],[1,3,18],[1,4,80],[2,3,67],[2,4,95],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(0,2)=12,(1,3)=18,(1,2)=49,(2,3)=67,(1,4)=80,(3,4)=94,(2,4)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=20\",\"Find(1)=1, Find(3)=0, Add (1,3)=18 Succeeded, w=38\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=38\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=38\",\"Find(1)=0, Find(4)=4, Add (1,4)=80 Succeeded, w=118\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,12],[0,3,8],[1,2,49],[1,3,18],[1,4,80],[2,3,67],[2,4,95],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(0,2)=12,(1,3)=18,(1,2)=49,(2,3)=67,(1,4)=80,(3,4)=94,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=18 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=80 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,83],[0,3,42],[0,4,36],[0,5,65],[0,6,93],[1,3,40],[1,5,31],[1,7,93],[2,4,12],[2,6,94],[2,7,51],[3,5,16],[3,6,3],[3,7,50],[4,5,7],[4,7,0],[5,6,52],[5,7,32],[6,7,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,3,42],[0,4,36],[0,5,65],[0,6,93],[1,3,40],[1,5,31],[1,7,93],[2,4,12],[2,6,94],[2,7,51],[3,5,16],[3,6,3],[3,7,50],[4,5,7],[4,7,0],[5,6,52],[5,7,32],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,3,42],[0,4,36],[0,5,65],[0,6,93],[1,3,40],[1,5,31],[1,7,93],[2,4,12],[2,6,94],[2,7,51],[3,5,16],[3,6,3],[3,7,50],[4,5,7],[4,7,0],[5,6,52],[5,7,32],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,3,42],[0,4,36],[0,5,65],[0,6,93],[1,3,40],[1,5,31],[1,7,93],[2,4,12],[2,6,94],[2,7,51],[3,5,16],[3,6,3],[3,7,50],[4,5,7],[4,7,0],[5,6,52],[5,7,32],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=0, w=0\",\"Add (3,6)=3, w=3\",\"Add (4,5)=7, w=10\",\"Add (2,4)=12, w=22\",\"Add (3,5)=16, w=38\",\"Add (1,5)=31, w=69\",\"Add (0,4)=36, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,3,42],[0,4,36],[0,5,65],[0,6,93],[1,3,40],[1,5,31],[1,7,93],[2,4,12],[2,6,94],[2,7,51],[3,5,16],[3,6,3],[3,7,50],[4,5,7],[4,7,0],[5,6,52],[5,7,32],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=0 Succeeded, w=0\",\"Add (3,6)=3 Succeeded, w=3\",\"Add (4,5)=7 Succeeded, w=10\",\"Add (2,4)=12 Succeeded, w=22\",\"Add (3,5)=16 Succeeded, w=38\",\"Add (1,5)=31 Succeeded, w=69\",\"Add (5,7)=32 Failed, w=69\",\"Add (0,4)=36 Succeeded, w=105\",\"Add (1,3)=40 Failed, w=105\",\"Add (0,3)=42 Failed, w=105\",\"Add (3,7)=50 Failed, w=105\",\"Add (2,7)=51 Failed, w=105\",\"Add (5,6)=52 Failed, w=105\",\"Add (6,7)=58 Failed, w=105\",\"Add (0,5)=65 Failed, w=105\",\"Add (0,1)=83 Failed, w=105\",\"Add (0,6)=93 Failed, w=105\",\"Add (1,7)=93 Failed, w=105\",\"Add (2,6)=94 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,3,42],[0,4,36],[0,5,65],[0,6,93],[1,3,40],[1,5,31],[1,7,93],[2,4,12],[2,6,94],[2,7,51],[3,5,16],[3,6,3],[3,7,50],[4,5,7],[4,7,0],[5,6,52],[5,7,32],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=0,(3,6)=3,(4,5)=7,(2,4)=12,(3,5)=16,(1,5)=31,(5,7)=32,(0,4)=36,(1,3)=40,(0,3)=42,(3,7)=50,(2,7)=51,(5,6)=52,(6,7)=58,(0,5)=65,(0,1)=83,(0,6)=93,(1,7)=93,(2,6)=94]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=10\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=22\",\"Find(3)=3, Find(5)=4, Add (3,5)=16 Succeeded, w=38\",\"Find(1)=1, Find(5)=3, Add (1,5)=31 Succeeded, w=69\",\"Find(5)=3, Find(7)=3, Add (5,7)=32 Failed, w=69\",\"Find(0)=0, Find(4)=3, Add (0,4)=36 Succeeded, w=105\",\"Find(1)=3, Find(3)=3, Add (1,3)=40 Failed, w=105\",\"Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=105\",\"Find(3)=3, Find(7)=3, Add (3,7)=50 Failed, w=105\",\"Find(2)=3, Find(7)=3, Add (2,7)=51 Failed, w=105\",\"Find(5)=3, Find(6)=3, Add (5,6)=52 Failed, w=105\",\"Find(6)=3, Find(7)=3, Add (6,7)=58 Failed, w=105\",\"Find(0)=3, Find(5)=3, Add (0,5)=65 Failed, w=105\",\"Find(0)=3, Find(1)=3, Add (0,1)=83 Failed, w=105\",\"Find(0)=3, Find(6)=3, Add (0,6)=93 Failed, w=105\",\"Find(1)=3, Find(7)=3, Add (1,7)=93 Failed, w=105\",\"Find(2)=3, Find(6)=3, Add (2,6)=94 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,3,42],[0,4,36],[0,5,65],[0,6,93],[1,3,40],[1,5,31],[1,7,93],[2,4,12],[2,6,94],[2,7,51],[3,5,16],[3,6,3],[3,7,50],[4,5,7],[4,7,0],[5,6,52],[5,7,32],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=0,(3,6)=3,(4,5)=7,(2,4)=12,(3,5)=16,(1,5)=31,(5,7)=32,(0,4)=36,(1,3)=40,(0,3)=42,(3,7)=50,(2,7)=51,(5,6)=52,(6,7)=58,(0,5)=65,(0,1)=83,(0,6)=93,(1,7)=93,(2,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 3, 5: 4, 6: 3, 7: 4}, Find(3)=3, Find(5)=4, Add (3,5)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 3, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(1)=1, Find(5)=3, Add (1,5)=31 Succeeded, w=69\",\"Parent: {0: 0, 1: 3, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=32 Failed, w=69\",\"Parent: {0: 3, 1: 3, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(4)=3, Add (0,4)=36 Succeeded, w=105\",\"Parent: {0: 3, 1: 3, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=40 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 4, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=50 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=51 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=52 Failed, w=105\",\"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)=58 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=65 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=83 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=93 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=93 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=94 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,41],[1,2,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[1,2,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[1,2,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[1,2,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=41, w=41\",\"Add (1,2)=89, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[1,2,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=41 Succeeded, w=41\",\"Add (1,2)=89 Succeeded, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[1,2,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=41,(1,2)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=41\",\"Find(1)=1, Find(2)=0, Add (1,2)=89 Succeeded, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[1,2,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=41,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=89 Succeeded, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,99],[0,2,27],[0,3,90],[0,4,4],[0,5,15],[0,6,78],[0,7,84],[1,2,61],[1,3,95],[1,5,70],[1,6,73],[1,7,60],[2,4,40],[2,5,86],[2,6,6],[2,7,62],[3,4,28],[3,5,35],[3,6,6],[5,6,24],[5,7,57],[6,7,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,27],[0,3,90],[0,4,4],[0,5,15],[0,6,78],[0,7,84],[1,2,61],[1,3,95],[1,5,70],[1,6,73],[1,7,60],[2,4,40],[2,5,86],[2,6,6],[2,7,62],[3,4,28],[3,5,35],[3,6,6],[5,6,24],[5,7,57],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,27],[0,3,90],[0,4,4],[0,5,15],[0,6,78],[0,7,84],[1,2,61],[1,3,95],[1,5,70],[1,6,73],[1,7,60],[2,4,40],[2,5,86],[2,6,6],[2,7,62],[3,4,28],[3,5,35],[3,6,6],[5,6,24],[5,7,57],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (5,7)\",\"Add (1,7)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,27],[0,3,90],[0,4,4],[0,5,15],[0,6,78],[0,7,84],[1,2,61],[1,3,95],[1,5,70],[1,6,73],[1,7,60],[2,4,40],[2,5,86],[2,6,6],[2,7,62],[3,4,28],[3,5,35],[3,6,6],[5,6,24],[5,7,57],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (2,6)=6, w=10\",\"Add (3,6)=6, w=16\",\"Add (0,5)=15, w=31\",\"Add (5,6)=24, w=55\",\"Add (5,7)=57, w=112\",\"Add (1,7)=60, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,27],[0,3,90],[0,4,4],[0,5,15],[0,6,78],[0,7,84],[1,2,61],[1,3,95],[1,5,70],[1,6,73],[1,7,60],[2,4,40],[2,5,86],[2,6,6],[2,7,62],[3,4,28],[3,5,35],[3,6,6],[5,6,24],[5,7,57],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (2,6)=6 Succeeded, w=10\",\"Add (3,6)=6 Succeeded, w=16\",\"Add (0,5)=15 Succeeded, w=31\",\"Add (5,6)=24 Succeeded, w=55\",\"Add (0,2)=27 Failed, w=55\",\"Add (3,4)=28 Failed, w=55\",\"Add (3,5)=35 Failed, w=55\",\"Add (2,4)=40 Failed, w=55\",\"Add (5,7)=57 Succeeded, w=112\",\"Add (1,7)=60 Succeeded, w=172\",\"Add (1,2)=61 Failed, w=172\",\"Add (2,7)=62 Failed, w=172\",\"Add (1,5)=70 Failed, w=172\",\"Add (1,6)=73 Failed, w=172\",\"Add (0,6)=78 Failed, w=172\",\"Add (0,7)=84 Failed, w=172\",\"Add (2,5)=86 Failed, w=172\",\"Add (0,3)=90 Failed, w=172\",\"Add (6,7)=90 Failed, w=172\",\"Add (1,3)=95 Failed, w=172\",\"Add (0,1)=99 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,27],[0,3,90],[0,4,4],[0,5,15],[0,6,78],[0,7,84],[1,2,61],[1,3,95],[1,5,70],[1,6,73],[1,7,60],[2,4,40],[2,5,86],[2,6,6],[2,7,62],[3,4,28],[3,5,35],[3,6,6],[5,6,24],[5,7,57],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,6)=6,(3,6)=6,(0,5)=15,(5,6)=24,(0,2)=27,(3,4)=28,(3,5)=35,(2,4)=40,(5,7)=57,(1,7)=60,(1,2)=61,(2,7)=62,(1,5)=70,(1,6)=73,(0,6)=78,(0,7)=84,(2,5)=86,(0,3)=90,(6,7)=90,(1,3)=95,(0,1)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=10\",\"Find(3)=3, Find(6)=2, Add (3,6)=6 Succeeded, w=16\",\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=31\",\"Find(5)=0, Find(6)=2, Add (5,6)=24 Succeeded, w=55\",\"Find(0)=0, Find(2)=0, Add (0,2)=27 Failed, w=55\",\"Find(3)=0, Find(4)=0, Add (3,4)=28 Failed, w=55\",\"Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=55\",\"Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=55\",\"Find(5)=0, Find(7)=7, Add (5,7)=57 Succeeded, w=112\",\"Find(1)=1, Find(7)=0, Add (1,7)=60 Succeeded, w=172\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=172\",\"Find(2)=0, Find(7)=0, Add (2,7)=62 Failed, w=172\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=172\",\"Find(1)=0, Find(6)=0, Add (1,6)=73 Failed, w=172\",\"Find(0)=0, Find(6)=0, Add (0,6)=78 Failed, w=172\",\"Find(0)=0, Find(7)=0, Add (0,7)=84 Failed, w=172\",\"Find(2)=0, Find(5)=0, Add (2,5)=86 Failed, w=172\",\"Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=172\",\"Find(6)=0, Find(7)=0, Add (6,7)=90 Failed, w=172\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=172\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,27],[0,3,90],[0,4,4],[0,5,15],[0,6,78],[0,7,84],[1,2,61],[1,3,95],[1,5,70],[1,6,73],[1,7,60],[2,4,40],[2,5,86],[2,6,6],[2,7,62],[3,4,28],[3,5,35],[3,6,6],[5,6,24],[5,7,57],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(2,6)=6,(3,6)=6,(0,5)=15,(5,6)=24,(0,2)=27,(3,4)=28,(3,5)=35,(2,4)=40,(5,7)=57,(1,7)=60,(1,2)=61,(2,7)=62,(1,5)=70,(1,6)=73,(0,6)=78,(0,7)=84,(2,5)=86,(0,3)=90,(6,7)=90,(1,3)=95,(0,1)=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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2, 7: 7}, Find(3)=3, Find(6)=2, Add (3,6)=6 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 0, 6: 2, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 0, 6: 2, 7: 7}, Find(5)=0, Find(6)=2, Add (5,6)=24 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 0, 6: 2, 7: 7}, Find(0)=0, Find(2)=0, Add (0,2)=27 Failed, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 7}, Find(3)=0, Find(4)=0, Add (3,4)=28 Failed, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 7}, Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 7}, Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=57 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=60 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=62 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=172\",\"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)=73 Failed, w=172\",\"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)=78 Failed, w=172\",\"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)=84 Failed, w=172\",\"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)=86 Failed, w=172\",\"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)=90 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=90 Failed, w=172\",\"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)=95 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,26],[0,3,11],[0,4,37],[0,5,8],[0,6,8],[0,7,42],[1,2,54],[1,4,34],[1,6,93],[2,3,96],[2,4,70],[2,5,39],[2,7,67],[3,4,30],[3,5,94],[3,6,43],[4,5,33],[4,6,62],[4,7,0],[5,6,59],[6,7,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,3,11],[0,4,37],[0,5,8],[0,6,8],[0,7,42],[1,2,54],[1,4,34],[1,6,93],[2,3,96],[2,4,70],[2,5,39],[2,7,67],[3,4,30],[3,5,94],[3,6,43],[4,5,33],[4,6,62],[4,7,0],[5,6,59],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,3,11],[0,4,37],[0,5,8],[0,6,8],[0,7,42],[1,2,54],[1,4,34],[1,6,93],[2,3,96],[2,4,70],[2,5,39],[2,7,67],[3,4,30],[3,5,94],[3,6,43],[4,5,33],[4,6,62],[4,7,0],[5,6,59],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (0,5)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,3,11],[0,4,37],[0,5,8],[0,6,8],[0,7,42],[1,2,54],[1,4,34],[1,6,93],[2,3,96],[2,4,70],[2,5,39],[2,7,67],[3,4,30],[3,5,94],[3,6,43],[4,5,33],[4,6,62],[4,7,0],[5,6,59],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=0, w=0\",\"Add (0,5)=8, w=8\",\"Add (0,6)=8, w=16\",\"Add (0,3)=11, w=27\",\"Add (0,2)=26, w=53\",\"Add (3,4)=30, w=83\",\"Add (1,4)=34, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,3,11],[0,4,37],[0,5,8],[0,6,8],[0,7,42],[1,2,54],[1,4,34],[1,6,93],[2,3,96],[2,4,70],[2,5,39],[2,7,67],[3,4,30],[3,5,94],[3,6,43],[4,5,33],[4,6,62],[4,7,0],[5,6,59],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=0 Succeeded, w=0\",\"Add (0,5)=8 Succeeded, w=8\",\"Add (0,6)=8 Succeeded, w=16\",\"Add (0,3)=11 Succeeded, w=27\",\"Add (0,2)=26 Succeeded, w=53\",\"Add (3,4)=30 Succeeded, w=83\",\"Add (4,5)=33 Failed, w=83\",\"Add (1,4)=34 Succeeded, w=117\",\"Add (0,4)=37 Failed, w=117\",\"Add (2,5)=39 Failed, w=117\",\"Add (0,7)=42 Failed, w=117\",\"Add (3,6)=43 Failed, w=117\",\"Add (6,7)=51 Failed, w=117\",\"Add (1,2)=54 Failed, w=117\",\"Add (5,6)=59 Failed, w=117\",\"Add (4,6)=62 Failed, w=117\",\"Add (2,7)=67 Failed, w=117\",\"Add (2,4)=70 Failed, w=117\",\"Add (1,6)=93 Failed, w=117\",\"Add (3,5)=94 Failed, w=117\",\"Add (2,3)=96 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,3,11],[0,4,37],[0,5,8],[0,6,8],[0,7,42],[1,2,54],[1,4,34],[1,6,93],[2,3,96],[2,4,70],[2,5,39],[2,7,67],[3,4,30],[3,5,94],[3,6,43],[4,5,33],[4,6,62],[4,7,0],[5,6,59],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=0,(0,5)=8,(0,6)=8,(0,3)=11,(0,2)=26,(3,4)=30,(4,5)=33,(1,4)=34,(0,4)=37,(2,5)=39,(0,7)=42,(3,6)=43,(6,7)=51,(1,2)=54,(5,6)=59,(4,6)=62,(2,7)=67,(2,4)=70,(1,6)=93,(3,5)=94,(2,3)=96]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=53\",\"Find(3)=0, Find(4)=4, Add (3,4)=30 Succeeded, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=33 Failed, w=83\",\"Find(1)=1, Find(4)=0, Add (1,4)=34 Succeeded, w=117\",\"Find(0)=0, Find(4)=0, Add (0,4)=37 Failed, w=117\",\"Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=117\",\"Find(0)=0, Find(7)=0, Add (0,7)=42 Failed, w=117\",\"Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=117\",\"Find(6)=0, Find(7)=0, Add (6,7)=51 Failed, w=117\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=117\",\"Find(5)=0, Find(6)=0, Add (5,6)=59 Failed, w=117\",\"Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=117\",\"Find(2)=0, Find(7)=0, Add (2,7)=67 Failed, w=117\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=117\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=117\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=117\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,3,11],[0,4,37],[0,5,8],[0,6,8],[0,7,42],[1,2,54],[1,4,34],[1,6,93],[2,3,96],[2,4,70],[2,5,39],[2,7,67],[3,4,30],[3,5,94],[3,6,43],[4,5,33],[4,6,62],[4,7,0],[5,6,59],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=0,(0,5)=8,(0,6)=8,(0,3)=11,(0,2)=26,(3,4)=30,(4,5)=33,(1,4)=34,(0,4)=37,(2,5)=39,(0,7)=42,(3,6)=43,(6,7)=51,(1,2)=54,(5,6)=59,(4,6)=62,(2,7)=67,(2,4)=70,(1,6)=93,(3,5)=94,(2,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 4}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(3)=0, Find(4)=4, Add (3,4)=30 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(4)=0, Find(5)=0, Add (4,5)=33 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=1, Find(4)=0, Add (1,4)=34 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(4)=0, Add (0,4)=37 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=117\",\"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)=42 Failed, w=117\",\"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)=43 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=51 Failed, w=117\",\"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)=54 Failed, w=117\",\"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)=59 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=117\",\"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)=67 Failed, w=117\",\"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)=70 Failed, w=117\",\"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)=93 Failed, w=117\",\"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)=94 Failed, w=117\",\"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)=96 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,18],[0,2,74],[0,3,44],[0,4,68],[0,5,80],[1,4,97],[1,5,77],[2,3,7],[2,5,69],[3,4,84],[3,5,53],[4,5,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,74],[0,3,44],[0,4,68],[0,5,80],[1,4,97],[1,5,77],[2,3,7],[2,5,69],[3,4,84],[3,5,53],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,74],[0,3,44],[0,4,68],[0,5,80],[1,4,97],[1,5,77],[2,3,7],[2,5,69],[3,4,84],[3,5,53],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,74],[0,3,44],[0,4,68],[0,5,80],[1,4,97],[1,5,77],[2,3,7],[2,5,69],[3,4,84],[3,5,53],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (0,1)=18, w=25\",\"Add (4,5)=26, w=51\",\"Add (0,3)=44, w=95\",\"Add (3,5)=53, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,74],[0,3,44],[0,4,68],[0,5,80],[1,4,97],[1,5,77],[2,3,7],[2,5,69],[3,4,84],[3,5,53],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (0,1)=18 Succeeded, w=25\",\"Add (4,5)=26 Succeeded, w=51\",\"Add (0,3)=44 Succeeded, w=95\",\"Add (3,5)=53 Succeeded, w=148\",\"Add (0,4)=68 Failed, w=148\",\"Add (2,5)=69 Failed, w=148\",\"Add (0,2)=74 Failed, w=148\",\"Add (1,5)=77 Failed, w=148\",\"Add (0,5)=80 Failed, w=148\",\"Add (3,4)=84 Failed, w=148\",\"Add (1,4)=97 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,74],[0,3,44],[0,4,68],[0,5,80],[1,4,97],[1,5,77],[2,3,7],[2,5,69],[3,4,84],[3,5,53],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,1)=18,(4,5)=26,(0,3)=44,(3,5)=53,(0,4)=68,(2,5)=69,(0,2)=74,(1,5)=77,(0,5)=80,(3,4)=84,(1,4)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=25\",\"Find(4)=4, Find(5)=5, Add (4,5)=26 Succeeded, w=51\",\"Find(0)=0, Find(3)=2, Add (0,3)=44 Succeeded, w=95\",\"Find(3)=0, Find(5)=4, Add (3,5)=53 Succeeded, w=148\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=148\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=148\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=148\",\"Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=148\",\"Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=148\",\"Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=148\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,2,74],[0,3,44],[0,4,68],[0,5,80],[1,4,97],[1,5,77],[2,3,7],[2,5,69],[3,4,84],[3,5,53],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,1)=18,(4,5)=26,(0,3)=44,(3,5)=53,(0,4)=68,(2,5)=69,(0,2)=74,(1,5)=77,(0,5)=80,(3,4)=84,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=26 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(3)=2, Add (0,3)=44 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(3)=0, Find(5)=4, Add (3,5)=53 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,44],[0,3,1],[0,4,15],[1,2,82],[1,3,10],[1,4,11],[1,5,8],[2,3,37],[2,4,58],[2,5,26],[3,4,80],[3,5,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,44],[0,3,1],[0,4,15],[1,2,82],[1,3,10],[1,4,11],[1,5,8],[2,3,37],[2,4,58],[2,5,26],[3,4,80],[3,5,49]]}",
"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\":[[0,1,61],[0,2,44],[0,3,1],[0,4,15],[1,2,82],[1,3,10],[1,4,11],[1,5,8],[2,3,37],[2,4,58],[2,5,26],[3,4,80],[3,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,44],[0,3,1],[0,4,15],[1,2,82],[1,3,10],[1,4,11],[1,5,8],[2,3,37],[2,4,58],[2,5,26],[3,4,80],[3,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (1,5)=8, w=9\",\"Add (1,3)=10, w=19\",\"Add (1,4)=11, w=30\",\"Add (2,5)=26, 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\":[[0,1,61],[0,2,44],[0,3,1],[0,4,15],[1,2,82],[1,3,10],[1,4,11],[1,5,8],[2,3,37],[2,4,58],[2,5,26],[3,4,80],[3,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,5)=8 Succeeded, w=9\",\"Add (1,3)=10 Succeeded, w=19\",\"Add (1,4)=11 Succeeded, w=30\",\"Add (0,4)=15 Failed, w=30\",\"Add (2,5)=26 Succeeded, w=56\",\"Add (2,3)=37 Failed, w=56\",\"Add (0,2)=44 Failed, w=56\",\"Add (3,5)=49 Failed, w=56\",\"Add (2,4)=58 Failed, w=56\",\"Add (0,1)=61 Failed, w=56\",\"Add (3,4)=80 Failed, w=56\",\"Add (1,2)=82 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\":[[0,1,61],[0,2,44],[0,3,1],[0,4,15],[1,2,82],[1,3,10],[1,4,11],[1,5,8],[2,3,37],[2,4,58],[2,5,26],[3,4,80],[3,5,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,5)=8,(1,3)=10,(1,4)=11,(0,4)=15,(2,5)=26,(2,3)=37,(0,2)=44,(3,5)=49,(2,4)=58,(0,1)=61,(3,4)=80,(1,2)=82]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=9\",\"Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=19\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=30\",\"Find(0)=1, Find(4)=1, Add (0,4)=15 Failed, w=30\",\"Find(2)=2, Find(5)=1, Add (2,5)=26 Succeeded, w=56\",\"Find(2)=1, Find(3)=1, Add (2,3)=37 Failed, w=56\",\"Find(0)=1, Find(2)=1, Add (0,2)=44 Failed, w=56\",\"Find(3)=1, Find(5)=1, Add (3,5)=49 Failed, w=56\",\"Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=56\",\"Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=56\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 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\":[[0,1,61],[0,2,44],[0,3,1],[0,4,15],[1,2,82],[1,3,10],[1,4,11],[1,5,8],[2,3,37],[2,4,58],[2,5,26],[3,4,80],[3,5,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,5)=8,(1,3)=10,(1,4)=11,(0,4)=15,(2,5)=26,(2,3)=37,(0,2)=44,(3,5)=49,(2,4)=58,(0,1)=61,(3,4)=80,(1,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=15 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=26 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=37 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=44 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=49 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)=58 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=61 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)=80 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,77],[0,2,77],[0,3,38],[0,4,75],[0,6,11],[0,7,4],[1,2,47],[1,3,73],[1,4,19],[1,6,13],[1,7,77],[2,4,22],[2,5,61],[2,6,50],[2,7,61],[3,4,56],[3,6,6],[3,7,62],[4,5,60],[4,6,66],[4,7,88],[5,6,66],[6,7,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,38],[0,4,75],[0,6,11],[0,7,4],[1,2,47],[1,3,73],[1,4,19],[1,6,13],[1,7,77],[2,4,22],[2,5,61],[2,6,50],[2,7,61],[3,4,56],[3,6,6],[3,7,62],[4,5,60],[4,6,66],[4,7,88],[5,6,66],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,38],[0,4,75],[0,6,11],[0,7,4],[1,2,47],[1,3,73],[1,4,19],[1,6,13],[1,7,77],[2,4,22],[2,5,61],[2,6,50],[2,7,61],[3,4,56],[3,6,6],[3,7,62],[4,5,60],[4,6,66],[4,7,88],[5,6,66],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (1,6)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (4,5)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,38],[0,4,75],[0,6,11],[0,7,4],[1,2,47],[1,3,73],[1,4,19],[1,6,13],[1,7,77],[2,4,22],[2,5,61],[2,6,50],[2,7,61],[3,4,56],[3,6,6],[3,7,62],[4,5,60],[4,6,66],[4,7,88],[5,6,66],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=4, w=4\",\"Add (3,6)=6, w=10\",\"Add (0,6)=11, w=21\",\"Add (1,6)=13, w=34\",\"Add (1,4)=19, w=53\",\"Add (2,4)=22, w=75\",\"Add (4,5)=60, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,38],[0,4,75],[0,6,11],[0,7,4],[1,2,47],[1,3,73],[1,4,19],[1,6,13],[1,7,77],[2,4,22],[2,5,61],[2,6,50],[2,7,61],[3,4,56],[3,6,6],[3,7,62],[4,5,60],[4,6,66],[4,7,88],[5,6,66],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=4 Succeeded, w=4\",\"Add (3,6)=6 Succeeded, w=10\",\"Add (0,6)=11 Succeeded, w=21\",\"Add (1,6)=13 Succeeded, w=34\",\"Add (1,4)=19 Succeeded, w=53\",\"Add (2,4)=22 Succeeded, w=75\",\"Add (0,3)=38 Failed, w=75\",\"Add (1,2)=47 Failed, w=75\",\"Add (2,6)=50 Failed, w=75\",\"Add (3,4)=56 Failed, w=75\",\"Add (4,5)=60 Succeeded, w=135\",\"Add (2,5)=61 Failed, w=135\",\"Add (2,7)=61 Failed, w=135\",\"Add (3,7)=62 Failed, w=135\",\"Add (4,6)=66 Failed, w=135\",\"Add (5,6)=66 Failed, w=135\",\"Add (1,3)=73 Failed, w=135\",\"Add (0,4)=75 Failed, w=135\",\"Add (0,1)=77 Failed, w=135\",\"Add (0,2)=77 Failed, w=135\",\"Add (1,7)=77 Failed, w=135\",\"Add (4,7)=88 Failed, w=135\",\"Add (6,7)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,38],[0,4,75],[0,6,11],[0,7,4],[1,2,47],[1,3,73],[1,4,19],[1,6,13],[1,7,77],[2,4,22],[2,5,61],[2,6,50],[2,7,61],[3,4,56],[3,6,6],[3,7,62],[4,5,60],[4,6,66],[4,7,88],[5,6,66],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=4,(3,6)=6,(0,6)=11,(1,6)=13,(1,4)=19,(2,4)=22,(0,3)=38,(1,2)=47,(2,6)=50,(3,4)=56,(4,5)=60,(2,5)=61,(2,7)=61,(3,7)=62,(4,6)=66,(5,6)=66,(1,3)=73,(0,4)=75,(0,1)=77,(0,2)=77,(1,7)=77,(4,7)=88,(6,7)=88]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=4 Succeeded, w=4\",\"Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=10\",\"Find(0)=0, Find(6)=3, Add (0,6)=11 Succeeded, w=21\",\"Find(1)=1, Find(6)=0, Add (1,6)=13 Succeeded, w=34\",\"Find(1)=0, Find(4)=4, Add (1,4)=19 Succeeded, w=53\",\"Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=75\",\"Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=75\",\"Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=75\",\"Find(2)=0, Find(6)=0, Add (2,6)=50 Failed, w=75\",\"Find(3)=0, Find(4)=0, Add (3,4)=56 Failed, w=75\",\"Find(4)=0, Find(5)=5, Add (4,5)=60 Succeeded, w=135\",\"Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=135\",\"Find(2)=0, Find(7)=0, Add (2,7)=61 Failed, w=135\",\"Find(3)=0, Find(7)=0, Add (3,7)=62 Failed, w=135\",\"Find(4)=0, Find(6)=0, Add (4,6)=66 Failed, w=135\",\"Find(5)=0, Find(6)=0, Add (5,6)=66 Failed, w=135\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=135\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=135\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=135\",\"Find(1)=0, Find(7)=0, Add (1,7)=77 Failed, w=135\",\"Find(4)=0, Find(7)=0, Add (4,7)=88 Failed, w=135\",\"Find(6)=0, Find(7)=0, Add (6,7)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,77],[0,3,38],[0,4,75],[0,6,11],[0,7,4],[1,2,47],[1,3,73],[1,4,19],[1,6,13],[1,7,77],[2,4,22],[2,5,61],[2,6,50],[2,7,61],[3,4,56],[3,6,6],[3,7,62],[4,5,60],[4,6,66],[4,7,88],[5,6,66],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=4,(3,6)=6,(0,6)=11,(1,6)=13,(1,4)=19,(2,4)=22,(0,3)=38,(1,2)=47,(2,6)=50,(3,4)=56,(4,5)=60,(2,5)=61,(2,7)=61,(3,7)=62,(4,6)=66,(5,6)=66,(1,3)=73,(0,4)=75,(0,1)=77,(0,2)=77,(1,7)=77,(4,7)=88,(6,7)=88]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 3, 7: 0}, Find(0)=0, Find(6)=3, Add (0,6)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(1)=1, Find(6)=0, Add (1,6)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(4)=4, Add (1,4)=19 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=75\",\"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)=50 Failed, w=75\",\"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)=56 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=5, Add (4,5)=60 Succeeded, w=135\",\"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)=61 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=61 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=62 Failed, w=135\",\"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)=66 Failed, w=135\",\"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)=66 Failed, w=135\",\"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)=73 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=135\",\"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=135\",\"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)=77 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=88 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,15],[0,2,89],[1,2,70],[1,5,34],[2,3,87],[2,4,15],[2,5,35],[2,6,21],[3,4,92],[3,6,9],[3,7,96],[4,5,39],[4,6,59],[5,6,51],[5,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,89],[1,2,70],[1,5,34],[2,3,87],[2,4,15],[2,5,35],[2,6,21],[3,4,92],[3,6,9],[3,7,96],[4,5,39],[4,6,59],[5,6,51],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,89],[1,2,70],[1,5,34],[2,3,87],[2,4,15],[2,5,35],[2,6,21],[3,4,92],[3,6,9],[3,7,96],[4,5,39],[4,6,59],[5,6,51],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (5,7)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,89],[1,2,70],[1,5,34],[2,3,87],[2,4,15],[2,5,35],[2,6,21],[3,4,92],[3,6,9],[3,7,96],[4,5,39],[4,6,59],[5,6,51],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=9, w=9\",\"Add (0,1)=15, w=24\",\"Add (2,4)=15, w=39\",\"Add (2,6)=21, w=60\",\"Add (1,5)=34, w=94\",\"Add (2,5)=35, w=129\",\"Add (5,7)=59, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,89],[1,2,70],[1,5,34],[2,3,87],[2,4,15],[2,5,35],[2,6,21],[3,4,92],[3,6,9],[3,7,96],[4,5,39],[4,6,59],[5,6,51],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=9 Succeeded, w=9\",\"Add (0,1)=15 Succeeded, w=24\",\"Add (2,4)=15 Succeeded, w=39\",\"Add (2,6)=21 Succeeded, w=60\",\"Add (1,5)=34 Succeeded, w=94\",\"Add (2,5)=35 Succeeded, w=129\",\"Add (4,5)=39 Failed, w=129\",\"Add (5,6)=51 Failed, w=129\",\"Add (4,6)=59 Failed, w=129\",\"Add (5,7)=59 Succeeded, w=188\",\"Add (1,2)=70 Failed, w=188\",\"Add (2,3)=87 Failed, w=188\",\"Add (0,2)=89 Failed, w=188\",\"Add (3,4)=92 Failed, w=188\",\"Add (3,7)=96 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,89],[1,2,70],[1,5,34],[2,3,87],[2,4,15],[2,5,35],[2,6,21],[3,4,92],[3,6,9],[3,7,96],[4,5,39],[4,6,59],[5,6,51],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=9,(0,1)=15,(2,4)=15,(2,6)=21,(1,5)=34,(2,5)=35,(4,5)=39,(5,6)=51,(4,6)=59,(5,7)=59,(1,2)=70,(2,3)=87,(0,2)=89,(3,4)=92,(3,7)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=24\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=39\",\"Find(2)=2, Find(6)=3, Add (2,6)=21 Succeeded, w=60\",\"Find(1)=0, Find(5)=5, Add (1,5)=34 Succeeded, w=94\",\"Find(2)=2, Find(5)=0, Add (2,5)=35 Succeeded, w=129\",\"Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=129\",\"Find(5)=2, Find(6)=2, Add (5,6)=51 Failed, w=129\",\"Find(4)=2, Find(6)=2, Add (4,6)=59 Failed, w=129\",\"Find(5)=2, Find(7)=7, Add (5,7)=59 Succeeded, w=188\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=188\",\"Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=188\",\"Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=188\",\"Find(3)=2, Find(4)=2, Add (3,4)=92 Failed, w=188\",\"Find(3)=2, Find(7)=2, Add (3,7)=96 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,89],[1,2,70],[1,5,34],[2,3,87],[2,4,15],[2,5,35],[2,6,21],[3,4,92],[3,6,9],[3,7,96],[4,5,39],[4,6,59],[5,6,51],[5,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=9,(0,1)=15,(2,4)=15,(2,6)=21,(1,5)=34,(2,5)=35,(4,5)=39,(5,6)=51,(4,6)=59,(5,7)=59,(1,2)=70,(2,3)=87,(0,2)=89,(3,4)=92,(3,7)=96]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3, 7: 7}, Find(2)=2, Find(6)=3, Add (2,6)=21 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 3, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=34 Succeeded, w=94\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 3, 7: 7}, Find(2)=2, Find(5)=0, Add (2,5)=35 Succeeded, w=129\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3, 7: 7}, Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=129\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=2, Add (5,6)=51 Failed, w=129\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=2, Find(6)=2, Add (4,6)=59 Failed, w=129\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=59 Succeeded, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=92 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=96 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,36],[0,3,32],[1,2,38],[1,3,41],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[0,3,32],[1,2,38],[1,3,41],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[0,3,32],[1,2,38],[1,3,41],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[0,3,32],[1,2,38],[1,3,41],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21, w=21\",\"Add (0,3)=32, w=53\",\"Add (1,2)=38, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[0,3,32],[1,2,38],[1,3,41],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21 Succeeded, w=21\",\"Add (0,3)=32 Succeeded, w=53\",\"Add (0,2)=36 Failed, w=53\",\"Add (1,2)=38 Succeeded, w=91\",\"Add (1,3)=41 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[0,3,32],[1,2,38],[1,3,41],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,3)=32,(0,2)=36,(1,2)=38,(1,3)=41]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(3)=2, Add (0,3)=32 Succeeded, w=53\",\"Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=53\",\"Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=91\",\"Find(1)=2, Find(3)=2, Add (1,3)=41 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,36],[0,3,32],[1,2,38],[1,3,41],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,3)=32,(0,2)=36,(1,2)=38,(1,3)=41]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=32 Succeeded, w=53\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=41 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,48],[0,2,9],[1,2,73],[1,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,9],[1,2,73],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,9],[1,2,73],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,9],[1,2,73],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,1)=48, w=57\",\"Add (1,3)=87, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,9],[1,2,73],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,1)=48 Succeeded, w=57\",\"Add (1,2)=73 Failed, w=57\",\"Add (1,3)=87 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,9],[1,2,73],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,1)=48,(1,2)=73,(1,3)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=57\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=57\",\"Find(1)=0, Find(3)=3, Add (1,3)=87 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,2,9],[1,2,73],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,1)=48,(1,2)=73,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=87 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,17],[0,4,79],[1,2,81],[1,3,78],[1,4,29],[2,4,40],[2,5,83],[3,4,92],[3,5,74],[4,5,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,79],[1,2,81],[1,3,78],[1,4,29],[2,4,40],[2,5,83],[3,4,92],[3,5,74],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,79],[1,2,81],[1,3,78],[1,4,29],[2,4,40],[2,5,83],[3,4,92],[3,5,74],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,79],[1,2,81],[1,3,78],[1,4,29],[2,4,40],[2,5,83],[3,4,92],[3,5,74],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17, w=17\",\"Add (1,4)=29, w=46\",\"Add (2,4)=40, w=86\",\"Add (4,5)=67, w=153\",\"Add (3,5)=74, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,79],[1,2,81],[1,3,78],[1,4,29],[2,4,40],[2,5,83],[3,4,92],[3,5,74],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17 Succeeded, w=17\",\"Add (1,4)=29 Succeeded, w=46\",\"Add (2,4)=40 Succeeded, w=86\",\"Add (4,5)=67 Succeeded, w=153\",\"Add (3,5)=74 Succeeded, w=227\",\"Add (1,3)=78 Failed, w=227\",\"Add (0,4)=79 Failed, w=227\",\"Add (1,2)=81 Failed, w=227\",\"Add (2,5)=83 Failed, w=227\",\"Add (3,4)=92 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,79],[1,2,81],[1,3,78],[1,4,29],[2,4,40],[2,5,83],[3,4,92],[3,5,74],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(1,4)=29,(2,4)=40,(4,5)=67,(3,5)=74,(1,3)=78,(0,4)=79,(1,2)=81,(2,5)=83,(3,4)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Find(1)=0, Find(4)=4, Add (1,4)=29 Succeeded, w=46\",\"Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=86\",\"Find(4)=0, Find(5)=5, Add (4,5)=67 Succeeded, w=153\",\"Find(3)=3, Find(5)=0, Add (3,5)=74 Succeeded, w=227\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=227\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=227\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=227\",\"Find(2)=0, Find(5)=0, Add (2,5)=83 Failed, w=227\",\"Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,79],[1,2,81],[1,3,78],[1,4,29],[2,4,40],[2,5,83],[3,4,92],[3,5,74],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(1,4)=29,(2,4)=40,(4,5)=67,(3,5)=74,(1,3)=78,(0,4)=79,(1,2)=81,(2,5)=83,(3,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=29 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=67 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=74 Succeeded, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=83 Failed, w=227\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,74],[0,3,37],[0,5,33],[1,2,87],[1,3,24],[2,3,25],[2,5,74],[3,4,85],[4,5,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,37],[0,5,33],[1,2,87],[1,3,24],[2,3,25],[2,5,74],[3,4,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,37],[0,5,33],[1,2,87],[1,3,24],[2,3,25],[2,5,74],[3,4,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,37],[0,5,33],[1,2,87],[1,3,24],[2,3,25],[2,5,74],[3,4,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (2,3)=25, w=49\",\"Add (0,5)=33, w=82\",\"Add (0,3)=37, w=119\",\"Add (4,5)=64, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,37],[0,5,33],[1,2,87],[1,3,24],[2,3,25],[2,5,74],[3,4,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (2,3)=25 Succeeded, w=49\",\"Add (0,5)=33 Succeeded, w=82\",\"Add (0,3)=37 Succeeded, w=119\",\"Add (4,5)=64 Succeeded, w=183\",\"Add (0,1)=74 Failed, w=183\",\"Add (2,5)=74 Failed, w=183\",\"Add (3,4)=85 Failed, w=183\",\"Add (1,2)=87 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,37],[0,5,33],[1,2,87],[1,3,24],[2,3,25],[2,5,74],[3,4,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(2,3)=25,(0,5)=33,(0,3)=37,(4,5)=64,(0,1)=74,(2,5)=74,(3,4)=85,(1,2)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(2)=2, Find(3)=1, Add (2,3)=25 Succeeded, w=49\",\"Find(0)=0, Find(5)=5, Add (0,5)=33 Succeeded, w=82\",\"Find(0)=0, Find(3)=1, Add (0,3)=37 Succeeded, w=119\",\"Find(4)=4, Find(5)=0, Add (4,5)=64 Succeeded, w=183\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=183\",\"Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=183\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=183\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,37],[0,5,33],[1,2,87],[1,3,24],[2,3,25],[2,5,74],[3,4,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(2,3)=25,(0,5)=33,(0,3)=37,(4,5)=64,(0,1)=74,(2,5)=74,(3,4)=85,(1,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=2, Find(3)=1, Add (2,3)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=33 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(3)=1, Add (0,3)=37 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=64 Succeeded, w=183\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,25],[0,2,61],[0,3,25],[1,2,57],[1,3,3],[2,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,61],[0,3,25],[1,2,57],[1,3,3],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,61],[0,3,25],[1,2,57],[1,3,3],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,61],[0,3,25],[1,2,57],[1,3,3],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (2,3)=8, w=11\",\"Add (0,1)=25, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,61],[0,3,25],[1,2,57],[1,3,3],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (2,3)=8 Succeeded, w=11\",\"Add (0,1)=25 Succeeded, w=36\",\"Add (0,3)=25 Failed, w=36\",\"Add (1,2)=57 Failed, w=36\",\"Add (0,2)=61 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,61],[0,3,25],[1,2,57],[1,3,3],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,3)=8,(0,1)=25,(0,3)=25,(1,2)=57,(0,2)=61]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=36\",\"Find(0)=1, Find(3)=1, Add (0,3)=25 Failed, w=36\",\"Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=36\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,61],[0,3,25],[1,2,57],[1,3,3],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,3)=8,(0,1)=25,(0,3)=25,(1,2)=57,(0,2)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=25 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=36\"],\"Answer\":36}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,74],[0,3,12],[0,4,89],[0,7,65],[1,4,23],[3,6,23],[4,5,34],[4,6,34],[6,7,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,12],[0,4,89],[0,7,65],[1,4,23],[3,6,23],[4,5,34],[4,6,34],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":265}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,12],[0,4,89],[0,7,65],[1,4,23],[3,6,23],[4,5,34],[4,6,34],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (0,7)\",\"Add (0,2)\"],\"Answer\":265}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,12],[0,4,89],[0,7,65],[1,4,23],[3,6,23],[4,5,34],[4,6,34],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12, w=12\",\"Add (1,4)=23, w=35\",\"Add (3,6)=23, w=58\",\"Add (4,5)=34, w=92\",\"Add (4,6)=34, w=126\",\"Add (0,7)=65, w=191\",\"Add (0,2)=74, w=265\"],\"Answer\":265}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,12],[0,4,89],[0,7,65],[1,4,23],[3,6,23],[4,5,34],[4,6,34],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12 Succeeded, w=12\",\"Add (1,4)=23 Succeeded, w=35\",\"Add (3,6)=23 Succeeded, w=58\",\"Add (4,5)=34 Succeeded, w=92\",\"Add (4,6)=34 Succeeded, w=126\",\"Add (0,7)=65 Succeeded, w=191\",\"Add (6,7)=71 Failed, w=191\",\"Add (0,2)=74 Succeeded, w=265\",\"Add (0,4)=89 Failed, w=265\"],\"Answer\":265}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,12],[0,4,89],[0,7,65],[1,4,23],[3,6,23],[4,5,34],[4,6,34],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(1,4)=23,(3,6)=23,(4,5)=34,(4,6)=34,(0,7)=65,(6,7)=71,(0,2)=74,(0,4)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=35\",\"Find(3)=0, Find(6)=6, Add (3,6)=23 Succeeded, w=58\",\"Find(4)=1, Find(5)=5, Add (4,5)=34 Succeeded, w=92\",\"Find(4)=1, Find(6)=0, Add (4,6)=34 Succeeded, w=126\",\"Find(0)=1, Find(7)=7, Add (0,7)=65 Succeeded, w=191\",\"Find(6)=1, Find(7)=1, Add (6,7)=71 Failed, w=191\",\"Find(0)=1, Find(2)=2, Add (0,2)=74 Succeeded, w=265\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=265\"],\"Answer\":265}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,74],[0,3,12],[0,4,89],[0,7,65],[1,4,23],[3,6,23],[4,5,34],[4,6,34],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(1,4)=23,(3,6)=23,(4,5)=34,(4,6)=34,(0,7)=65,(6,7)=71,(0,2)=74,(0,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 0, 7: 7}, Find(3)=0, Find(6)=6, Add (3,6)=23 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 0, 7: 7}, Find(4)=1, Find(5)=5, Add (4,5)=34 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 0, 7: 7}, Find(4)=1, Find(6)=0, Add (4,6)=34 Succeeded, w=126\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 0, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=65 Succeeded, w=191\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=71 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=74 Succeeded, w=265\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=265\"],\"Answer\":265}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,65],[0,2,48],[0,3,43],[0,4,18],[0,6,69],[0,7,93],[1,3,84],[1,4,41],[1,5,43],[1,6,82],[1,7,87],[2,3,5],[2,4,94],[2,5,60],[2,6,98],[2,7,96],[3,4,13],[3,6,77],[3,7,49],[4,6,79],[4,7,69],[5,6,53],[5,7,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,48],[0,3,43],[0,4,18],[0,6,69],[0,7,93],[1,3,84],[1,4,41],[1,5,43],[1,6,82],[1,7,87],[2,3,5],[2,4,94],[2,5,60],[2,6,98],[2,7,96],[3,4,13],[3,6,77],[3,7,49],[4,6,79],[4,7,69],[5,6,53],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,48],[0,3,43],[0,4,18],[0,6,69],[0,7,93],[1,3,84],[1,4,41],[1,5,43],[1,6,82],[1,7,87],[2,3,5],[2,4,94],[2,5,60],[2,6,98],[2,7,96],[3,4,13],[3,6,77],[3,7,49],[4,6,79],[4,7,69],[5,6,53],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (5,7)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (5,6)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,48],[0,3,43],[0,4,18],[0,6,69],[0,7,93],[1,3,84],[1,4,41],[1,5,43],[1,6,82],[1,7,87],[2,3,5],[2,4,94],[2,5,60],[2,6,98],[2,7,96],[3,4,13],[3,6,77],[3,7,49],[4,6,79],[4,7,69],[5,6,53],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (3,4)=13, w=18\",\"Add (0,4)=18, w=36\",\"Add (5,7)=34, w=70\",\"Add (1,4)=41, w=111\",\"Add (1,5)=43, w=154\",\"Add (5,6)=53, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,48],[0,3,43],[0,4,18],[0,6,69],[0,7,93],[1,3,84],[1,4,41],[1,5,43],[1,6,82],[1,7,87],[2,3,5],[2,4,94],[2,5,60],[2,6,98],[2,7,96],[3,4,13],[3,6,77],[3,7,49],[4,6,79],[4,7,69],[5,6,53],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (3,4)=13 Succeeded, w=18\",\"Add (0,4)=18 Succeeded, w=36\",\"Add (5,7)=34 Succeeded, w=70\",\"Add (1,4)=41 Succeeded, w=111\",\"Add (0,3)=43 Failed, w=111\",\"Add (1,5)=43 Succeeded, w=154\",\"Add (0,2)=48 Failed, w=154\",\"Add (3,7)=49 Failed, w=154\",\"Add (5,6)=53 Succeeded, w=207\",\"Add (2,5)=60 Failed, w=207\",\"Add (0,1)=65 Failed, w=207\",\"Add (0,6)=69 Failed, w=207\",\"Add (4,7)=69 Failed, w=207\",\"Add (3,6)=77 Failed, w=207\",\"Add (4,6)=79 Failed, w=207\",\"Add (1,6)=82 Failed, w=207\",\"Add (1,3)=84 Failed, w=207\",\"Add (1,7)=87 Failed, w=207\",\"Add (0,7)=93 Failed, w=207\",\"Add (2,4)=94 Failed, w=207\",\"Add (2,7)=96 Failed, w=207\",\"Add (2,6)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,48],[0,3,43],[0,4,18],[0,6,69],[0,7,93],[1,3,84],[1,4,41],[1,5,43],[1,6,82],[1,7,87],[2,3,5],[2,4,94],[2,5,60],[2,6,98],[2,7,96],[3,4,13],[3,6,77],[3,7,49],[4,6,79],[4,7,69],[5,6,53],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(3,4)=13,(0,4)=18,(5,7)=34,(1,4)=41,(0,3)=43,(1,5)=43,(0,2)=48,(3,7)=49,(5,6)=53,(2,5)=60,(0,1)=65,(0,6)=69,(4,7)=69,(3,6)=77,(4,6)=79,(1,6)=82,(1,3)=84,(1,7)=87,(0,7)=93,(2,4)=94,(2,7)=96,(2,6)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(3)=2, Find(4)=4, Add (3,4)=13 Succeeded, w=18\",\"Find(0)=0, Find(4)=2, Add (0,4)=18 Succeeded, w=36\",\"Find(5)=5, Find(7)=7, Add (5,7)=34 Succeeded, w=70\",\"Find(1)=1, Find(4)=2, Add (1,4)=41 Succeeded, w=111\",\"Find(0)=2, Find(3)=2, Add (0,3)=43 Failed, w=111\",\"Find(1)=2, Find(5)=5, Add (1,5)=43 Succeeded, w=154\",\"Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=154\",\"Find(3)=2, Find(7)=2, Add (3,7)=49 Failed, w=154\",\"Find(5)=2, Find(6)=6, Add (5,6)=53 Succeeded, w=207\",\"Find(2)=2, Find(5)=2, Add (2,5)=60 Failed, w=207\",\"Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=207\",\"Find(0)=2, Find(6)=2, Add (0,6)=69 Failed, w=207\",\"Find(4)=2, Find(7)=2, Add (4,7)=69 Failed, w=207\",\"Find(3)=2, Find(6)=2, Add (3,6)=77 Failed, w=207\",\"Find(4)=2, Find(6)=2, Add (4,6)=79 Failed, w=207\",\"Find(1)=2, Find(6)=2, Add (1,6)=82 Failed, w=207\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=207\",\"Find(1)=2, Find(7)=2, Add (1,7)=87 Failed, w=207\",\"Find(0)=2, Find(7)=2, Add (0,7)=93 Failed, w=207\",\"Find(2)=2, Find(4)=2, Add (2,4)=94 Failed, w=207\",\"Find(2)=2, Find(7)=2, Add (2,7)=96 Failed, w=207\",\"Find(2)=2, Find(6)=2, Add (2,6)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,48],[0,3,43],[0,4,18],[0,6,69],[0,7,93],[1,3,84],[1,4,41],[1,5,43],[1,6,82],[1,7,87],[2,3,5],[2,4,94],[2,5,60],[2,6,98],[2,7,96],[3,4,13],[3,6,77],[3,7,49],[4,6,79],[4,7,69],[5,6,53],[5,7,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(3,4)=13,(0,4)=18,(5,7)=34,(1,4)=41,(0,3)=43,(1,5)=43,(0,2)=48,(3,7)=49,(5,6)=53,(2,5)=60,(0,1)=65,(0,6)=69,(4,7)=69,(3,6)=77,(4,6)=79,(1,6)=82,(1,3)=84,(1,7)=87,(0,7)=93,(2,4)=94,(2,7)=96,(2,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 7}, Find(3)=2, Find(4)=4, Add (3,4)=13 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=18 Succeeded, w=36\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=34 Succeeded, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(4)=2, Add (1,4)=41 Succeeded, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 5}, Find(0)=2, Find(3)=2, Add (0,3)=43 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 5}, Find(1)=2, Find(5)=5, Add (1,5)=43 Succeeded, w=154\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 5}, Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=154\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=49 Failed, w=154\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=6, Add (5,6)=53 Succeeded, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=60 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=69 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=69 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=77 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=79 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=82 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=87 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=93 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=94 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=96 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,3,93],[1,2,43],[1,4,78],[2,3,28],[2,4,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,93],[1,2,43],[1,4,78],[2,3,28],[2,4,4]]}",
"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\":[[0,1,74],[0,3,93],[1,2,43],[1,4,78],[2,3,28],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,93],[1,2,43],[1,4,78],[2,3,28],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (2,3)=28, w=32\",\"Add (1,2)=43, w=75\",\"Add (0,1)=74, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,93],[1,2,43],[1,4,78],[2,3,28],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (2,3)=28 Succeeded, w=32\",\"Add (1,2)=43 Succeeded, w=75\",\"Add (0,1)=74 Succeeded, w=149\",\"Add (1,4)=78 Failed, w=149\",\"Add (0,3)=93 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\":[[0,1,74],[0,3,93],[1,2,43],[1,4,78],[2,3,28],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(2,3)=28,(1,2)=43,(0,1)=74,(1,4)=78,(0,3)=93]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=32\",\"Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=75\",\"Find(0)=0, Find(1)=2, Add (0,1)=74 Succeeded, w=149\",\"Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=149\",\"Find(0)=2, Find(3)=2, Add (0,3)=93 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\":[[0,1,74],[0,3,93],[1,2,43],[1,4,78],[2,3,28],[2,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(2,3)=28,(1,2)=43,(0,1)=74,(1,4)=78,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=74 Succeeded, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,96],[0,2,21],[0,3,65],[0,4,1],[0,5,60],[1,2,59],[1,4,21],[1,5,62],[2,3,3],[2,4,99],[2,5,25],[3,4,13],[3,5,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,21],[0,3,65],[0,4,1],[0,5,60],[1,2,59],[1,4,21],[1,5,62],[2,3,3],[2,4,99],[2,5,25],[3,4,13],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,21],[0,3,65],[0,4,1],[0,5,60],[1,2,59],[1,4,21],[1,5,62],[2,3,3],[2,4,99],[2,5,25],[3,4,13],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (3,5)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,21],[0,3,65],[0,4,1],[0,5,60],[1,2,59],[1,4,21],[1,5,62],[2,3,3],[2,4,99],[2,5,25],[3,4,13],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (2,3)=3, w=4\",\"Add (3,4)=13, w=17\",\"Add (1,4)=21, w=38\",\"Add (3,5)=22, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,21],[0,3,65],[0,4,1],[0,5,60],[1,2,59],[1,4,21],[1,5,62],[2,3,3],[2,4,99],[2,5,25],[3,4,13],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (2,3)=3 Succeeded, w=4\",\"Add (3,4)=13 Succeeded, w=17\",\"Add (0,2)=21 Failed, w=17\",\"Add (1,4)=21 Succeeded, w=38\",\"Add (3,5)=22 Succeeded, w=60\",\"Add (2,5)=25 Failed, w=60\",\"Add (1,2)=59 Failed, w=60\",\"Add (0,5)=60 Failed, w=60\",\"Add (1,5)=62 Failed, w=60\",\"Add (0,3)=65 Failed, w=60\",\"Add (0,1)=96 Failed, w=60\",\"Add (2,4)=99 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,21],[0,3,65],[0,4,1],[0,5,60],[1,2,59],[1,4,21],[1,5,62],[2,3,3],[2,4,99],[2,5,25],[3,4,13],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,3)=3,(3,4)=13,(0,2)=21,(1,4)=21,(3,5)=22,(2,5)=25,(1,2)=59,(0,5)=60,(1,5)=62,(0,3)=65,(0,1)=96,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=4\",\"Find(3)=2, Find(4)=0, Add (3,4)=13 Succeeded, w=17\",\"Find(0)=2, Find(2)=2, Add (0,2)=21 Failed, w=17\",\"Find(1)=1, Find(4)=2, Add (1,4)=21 Succeeded, w=38\",\"Find(3)=2, Find(5)=5, Add (3,5)=22 Succeeded, w=60\",\"Find(2)=2, Find(5)=2, Add (2,5)=25 Failed, w=60\",\"Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=60\",\"Find(0)=2, Find(5)=2, Add (0,5)=60 Failed, w=60\",\"Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=60\",\"Find(0)=2, Find(3)=2, Add (0,3)=65 Failed, w=60\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=60\",\"Find(2)=2, Find(4)=2, Add (2,4)=99 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,21],[0,3,65],[0,4,1],[0,5,60],[1,2,59],[1,4,21],[1,5,62],[2,3,3],[2,4,99],[2,5,25],[3,4,13],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,3)=3,(3,4)=13,(0,2)=21,(1,4)=21,(3,5)=22,(2,5)=25,(1,2)=59,(0,5)=60,(1,5)=62,(0,3)=65,(0,1)=96,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(3)=2, Find(4)=0, Add (3,4)=13 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(0)=2, Find(2)=2, Add (0,2)=21 Failed, w=17\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=21 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=22 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=25 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=60 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=62 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=65 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=99 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,2,17],[0,3,96],[0,4,94],[0,6,56],[1,3,65],[1,4,67],[1,5,90],[1,6,13],[2,3,84],[2,5,62],[2,6,70],[3,4,70],[3,5,81],[5,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,17],[0,3,96],[0,4,94],[0,6,56],[1,3,65],[1,4,67],[1,5,90],[1,6,13],[2,3,84],[2,5,62],[2,6,70],[3,4,70],[3,5,81],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":251}",
"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],[0,2,17],[0,3,96],[0,4,94],[0,6,56],[1,3,65],[1,4,67],[1,5,90],[1,6,13],[2,3,84],[2,5,62],[2,6,70],[3,4,70],[3,5,81],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":251}",
"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],[0,2,17],[0,3,96],[0,4,94],[0,6,56],[1,3,65],[1,4,67],[1,5,90],[1,6,13],[2,3,84],[2,5,62],[2,6,70],[3,4,70],[3,5,81],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=13, w=13\",\"Add (0,2)=17, w=30\",\"Add (0,1)=27, w=57\",\"Add (2,5)=62, w=119\",\"Add (1,3)=65, w=184\",\"Add (1,4)=67, w=251\"],\"Answer\":251}",
"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],[0,2,17],[0,3,96],[0,4,94],[0,6,56],[1,3,65],[1,4,67],[1,5,90],[1,6,13],[2,3,84],[2,5,62],[2,6,70],[3,4,70],[3,5,81],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=13 Succeeded, w=13\",\"Add (0,2)=17 Succeeded, w=30\",\"Add (0,1)=27 Succeeded, w=57\",\"Add (0,6)=56 Failed, w=57\",\"Add (2,5)=62 Succeeded, w=119\",\"Add (1,3)=65 Succeeded, w=184\",\"Add (1,4)=67 Succeeded, w=251\",\"Add (2,6)=70 Failed, w=251\",\"Add (3,4)=70 Failed, w=251\",\"Add (3,5)=81 Failed, w=251\",\"Add (5,6)=82 Failed, w=251\",\"Add (2,3)=84 Failed, w=251\",\"Add (1,5)=90 Failed, w=251\",\"Add (0,4)=94 Failed, w=251\",\"Add (0,3)=96 Failed, w=251\"],\"Answer\":251}",
"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],[0,2,17],[0,3,96],[0,4,94],[0,6,56],[1,3,65],[1,4,67],[1,5,90],[1,6,13],[2,3,84],[2,5,62],[2,6,70],[3,4,70],[3,5,81],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=13,(0,2)=17,(0,1)=27,(0,6)=56,(2,5)=62,(1,3)=65,(1,4)=67,(2,6)=70,(3,4)=70,(3,5)=81,(5,6)=82,(2,3)=84,(1,5)=90,(0,4)=94,(0,3)=96]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=13 Succeeded, w=13\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=57\",\"Find(0)=0, Find(6)=0, Add (0,6)=56 Failed, w=57\",\"Find(2)=0, Find(5)=5, Add (2,5)=62 Succeeded, w=119\",\"Find(1)=0, Find(3)=3, Add (1,3)=65 Succeeded, w=184\",\"Find(1)=0, Find(4)=4, Add (1,4)=67 Succeeded, w=251\",\"Find(2)=0, Find(6)=0, Add (2,6)=70 Failed, w=251\",\"Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=251\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=251\",\"Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=251\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=251\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=251\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=251\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=251\"],\"Answer\":251}",
"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],[0,2,17],[0,3,96],[0,4,94],[0,6,56],[1,3,65],[1,4,67],[1,5,90],[1,6,13],[2,3,84],[2,5,62],[2,6,70],[3,4,70],[3,5,81],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=13,(0,2)=17,(0,1)=27,(0,6)=56,(2,5)=62,(1,3)=65,(1,4)=67,(2,6)=70,(3,4)=70,(3,5)=81,(5,6)=82,(2,3)=84,(1,5)=90,(0,4)=94,(0,3)=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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=56 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=62 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=65 Succeeded, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=4, Add (1,4)=67 Succeeded, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=70 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,79],[0,4,86],[0,5,79],[0,6,35],[0,7,40],[1,2,63],[1,3,71],[1,4,91],[1,5,88],[1,6,35],[1,7,66],[2,3,10],[2,4,8],[2,5,76],[2,6,35],[2,7,45],[3,4,33],[3,5,18],[4,5,19],[4,6,64],[4,7,61],[5,6,69],[5,7,56],[6,7,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,86],[0,5,79],[0,6,35],[0,7,40],[1,2,63],[1,3,71],[1,4,91],[1,5,88],[1,6,35],[1,7,66],[2,3,10],[2,4,8],[2,5,76],[2,6,35],[2,7,45],[3,4,33],[3,5,18],[4,5,19],[4,6,64],[4,7,61],[5,6,69],[5,7,56],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,86],[0,5,79],[0,6,35],[0,7,40],[1,2,63],[1,3,71],[1,4,91],[1,5,88],[1,6,35],[1,7,66],[2,3,10],[2,4,8],[2,5,76],[2,6,35],[2,7,45],[3,4,33],[3,5,18],[4,5,19],[4,6,64],[4,7,61],[5,6,69],[5,7,56],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (0,7)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,86],[0,5,79],[0,6,35],[0,7,40],[1,2,63],[1,3,71],[1,4,91],[1,5,88],[1,6,35],[1,7,66],[2,3,10],[2,4,8],[2,5,76],[2,6,35],[2,7,45],[3,4,33],[3,5,18],[4,5,19],[4,6,64],[4,7,61],[5,6,69],[5,7,56],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8, w=8\",\"Add (2,3)=10, w=18\",\"Add (3,5)=18, w=36\",\"Add (0,6)=35, w=71\",\"Add (1,6)=35, w=106\",\"Add (2,6)=35, w=141\",\"Add (0,7)=40, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,86],[0,5,79],[0,6,35],[0,7,40],[1,2,63],[1,3,71],[1,4,91],[1,5,88],[1,6,35],[1,7,66],[2,3,10],[2,4,8],[2,5,76],[2,6,35],[2,7,45],[3,4,33],[3,5,18],[4,5,19],[4,6,64],[4,7,61],[5,6,69],[5,7,56],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8 Succeeded, w=8\",\"Add (2,3)=10 Succeeded, w=18\",\"Add (3,5)=18 Succeeded, w=36\",\"Add (4,5)=19 Failed, w=36\",\"Add (3,4)=33 Failed, w=36\",\"Add (0,6)=35 Succeeded, w=71\",\"Add (1,6)=35 Succeeded, w=106\",\"Add (2,6)=35 Succeeded, w=141\",\"Add (0,7)=40 Succeeded, w=181\",\"Add (2,7)=45 Failed, w=181\",\"Add (5,7)=56 Failed, w=181\",\"Add (4,7)=61 Failed, w=181\",\"Add (1,2)=63 Failed, w=181\",\"Add (4,6)=64 Failed, w=181\",\"Add (1,7)=66 Failed, w=181\",\"Add (5,6)=69 Failed, w=181\",\"Add (1,3)=71 Failed, w=181\",\"Add (2,5)=76 Failed, w=181\",\"Add (0,3)=79 Failed, w=181\",\"Add (0,5)=79 Failed, w=181\",\"Add (6,7)=83 Failed, w=181\",\"Add (0,4)=86 Failed, w=181\",\"Add (1,5)=88 Failed, w=181\",\"Add (1,4)=91 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,86],[0,5,79],[0,6,35],[0,7,40],[1,2,63],[1,3,71],[1,4,91],[1,5,88],[1,6,35],[1,7,66],[2,3,10],[2,4,8],[2,5,76],[2,6,35],[2,7,45],[3,4,33],[3,5,18],[4,5,19],[4,6,64],[4,7,61],[5,6,69],[5,7,56],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(2,3)=10,(3,5)=18,(4,5)=19,(3,4)=33,(0,6)=35,(1,6)=35,(2,6)=35,(0,7)=40,(2,7)=45,(5,7)=56,(4,7)=61,(1,2)=63,(4,6)=64,(1,7)=66,(5,6)=69,(1,3)=71,(2,5)=76,(0,3)=79,(0,5)=79,(6,7)=83,(0,4)=86,(1,5)=88,(1,4)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=18\",\"Find(3)=2, Find(5)=5, Add (3,5)=18 Succeeded, w=36\",\"Find(4)=2, Find(5)=2, Add (4,5)=19 Failed, w=36\",\"Find(3)=2, Find(4)=2, Add (3,4)=33 Failed, w=36\",\"Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=71\",\"Find(1)=1, Find(6)=0, Add (1,6)=35 Succeeded, w=106\",\"Find(2)=2, Find(6)=0, Add (2,6)=35 Succeeded, w=141\",\"Find(0)=2, Find(7)=7, Add (0,7)=40 Succeeded, w=181\",\"Find(2)=2, Find(7)=2, Add (2,7)=45 Failed, w=181\",\"Find(5)=2, Find(7)=2, Add (5,7)=56 Failed, w=181\",\"Find(4)=2, Find(7)=2, Add (4,7)=61 Failed, w=181\",\"Find(1)=2, Find(2)=2, Add (1,2)=63 Failed, w=181\",\"Find(4)=2, Find(6)=2, Add (4,6)=64 Failed, w=181\",\"Find(1)=2, Find(7)=2, Add (1,7)=66 Failed, w=181\",\"Find(5)=2, Find(6)=2, Add (5,6)=69 Failed, w=181\",\"Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=181\",\"Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=181\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=181\",\"Find(0)=2, Find(5)=2, Add (0,5)=79 Failed, w=181\",\"Find(6)=2, Find(7)=2, Add (6,7)=83 Failed, w=181\",\"Find(0)=2, Find(4)=2, Add (0,4)=86 Failed, w=181\",\"Find(1)=2, Find(5)=2, Add (1,5)=88 Failed, w=181\",\"Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,86],[0,5,79],[0,6,35],[0,7,40],[1,2,63],[1,3,71],[1,4,91],[1,5,88],[1,6,35],[1,7,66],[2,3,10],[2,4,8],[2,5,76],[2,6,35],[2,7,45],[3,4,33],[3,5,18],[4,5,19],[4,6,64],[4,7,61],[5,6,69],[5,7,56],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(2,3)=10,(3,5)=18,(4,5)=19,(3,4)=33,(0,6)=35,(1,6)=35,(2,6)=35,(0,7)=40,(2,7)=45,(5,7)=56,(4,7)=61,(1,2)=63,(4,6)=64,(1,7)=66,(5,6)=69,(1,3)=71,(2,5)=76,(0,3)=79,(0,5)=79,(6,7)=83,(0,4)=86,(1,5)=88,(1,4)=91]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=5, Add (3,5)=18 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=2, Find(5)=2, Add (4,5)=19 Failed, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(4)=2, Add (3,4)=33 Failed, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=35 Succeeded, w=106\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 7}, Find(2)=2, Find(6)=0, Add (2,6)=35 Succeeded, w=141\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(7)=7, Add (0,7)=40 Succeeded, w=181\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=45 Failed, w=181\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=56 Failed, w=181\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=61 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=63 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=64 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=66 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=69 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=79 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=83 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=86 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=88 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,36],[0,2,58],[0,3,13],[0,4,2],[0,5,31],[1,2,63],[1,3,98],[1,4,95],[1,5,1],[2,3,32],[2,4,92],[2,5,56],[3,4,76],[3,5,87],[4,5,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,58],[0,3,13],[0,4,2],[0,5,31],[1,2,63],[1,3,98],[1,4,95],[1,5,1],[2,3,32],[2,4,92],[2,5,56],[3,4,76],[3,5,87],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,58],[0,3,13],[0,4,2],[0,5,31],[1,2,63],[1,3,98],[1,4,95],[1,5,1],[2,3,32],[2,4,92],[2,5,56],[3,4,76],[3,5,87],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,58],[0,3,13],[0,4,2],[0,5,31],[1,2,63],[1,3,98],[1,4,95],[1,5,1],[2,3,32],[2,4,92],[2,5,56],[3,4,76],[3,5,87],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (0,4)=2, w=3\",\"Add (0,3)=13, w=16\",\"Add (4,5)=20, w=36\",\"Add (2,3)=32, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,58],[0,3,13],[0,4,2],[0,5,31],[1,2,63],[1,3,98],[1,4,95],[1,5,1],[2,3,32],[2,4,92],[2,5,56],[3,4,76],[3,5,87],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (0,4)=2 Succeeded, w=3\",\"Add (0,3)=13 Succeeded, w=16\",\"Add (4,5)=20 Succeeded, w=36\",\"Add (0,5)=31 Failed, w=36\",\"Add (2,3)=32 Succeeded, w=68\",\"Add (0,1)=36 Failed, w=68\",\"Add (2,5)=56 Failed, w=68\",\"Add (0,2)=58 Failed, w=68\",\"Add (1,2)=63 Failed, w=68\",\"Add (3,4)=76 Failed, w=68\",\"Add (3,5)=87 Failed, w=68\",\"Add (2,4)=92 Failed, w=68\",\"Add (1,4)=95 Failed, w=68\",\"Add (1,3)=98 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,58],[0,3,13],[0,4,2],[0,5,31],[1,2,63],[1,3,98],[1,4,95],[1,5,1],[2,3,32],[2,4,92],[2,5,56],[3,4,76],[3,5,87],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,4)=2,(0,3)=13,(4,5)=20,(0,5)=31,(2,3)=32,(0,1)=36,(2,5)=56,(0,2)=58,(1,2)=63,(3,4)=76,(3,5)=87,(2,4)=92,(1,4)=95,(1,3)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=16\",\"Find(4)=0, Find(5)=1, Add (4,5)=20 Succeeded, w=36\",\"Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=36\",\"Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=68\",\"Find(0)=0, Find(1)=0, Add (0,1)=36 Failed, w=68\",\"Find(2)=0, Find(5)=0, Add (2,5)=56 Failed, w=68\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=68\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=68\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=68\",\"Find(3)=0, Find(5)=0, Add (3,5)=87 Failed, w=68\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=68\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=68\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,36],[0,2,58],[0,3,13],[0,4,2],[0,5,31],[1,2,63],[1,3,98],[1,4,95],[1,5,1],[2,3,32],[2,4,92],[2,5,56],[3,4,76],[3,5,87],[4,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,4)=2,(0,3)=13,(4,5)=20,(0,5)=31,(2,3)=32,(0,1)=36,(2,5)=56,(0,2)=58,(1,2)=63,(3,4)=76,(3,5)=87,(2,4)=92,(1,4)=95,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 1}, Find(4)=0, Find(5)=1, Add (4,5)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=36 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=56 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=87 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=68\",\"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=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,67],[0,2,32],[0,3,10],[0,4,16],[1,2,95],[1,3,51],[1,4,5],[2,3,61],[2,4,40],[3,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,32],[0,3,10],[0,4,16],[1,2,95],[1,3,51],[1,4,5],[2,3,61],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,32],[0,3,10],[0,4,16],[1,2,95],[1,3,51],[1,4,5],[2,3,61],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,32],[0,3,10],[0,4,16],[1,2,95],[1,3,51],[1,4,5],[2,3,61],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (3,4)=5, w=10\",\"Add (0,3)=10, w=20\",\"Add (0,2)=32, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,32],[0,3,10],[0,4,16],[1,2,95],[1,3,51],[1,4,5],[2,3,61],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (3,4)=5 Succeeded, w=10\",\"Add (0,3)=10 Succeeded, w=20\",\"Add (0,4)=16 Failed, w=20\",\"Add (0,2)=32 Succeeded, w=52\",\"Add (2,4)=40 Failed, w=52\",\"Add (1,3)=51 Failed, w=52\",\"Add (2,3)=61 Failed, w=52\",\"Add (0,1)=67 Failed, w=52\",\"Add (1,2)=95 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,32],[0,3,10],[0,4,16],[1,2,95],[1,3,51],[1,4,5],[2,3,61],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(3,4)=5,(0,3)=10,(0,4)=16,(0,2)=32,(2,4)=40,(1,3)=51,(2,3)=61,(0,1)=67,(1,2)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=1, Add (3,4)=5 Succeeded, w=10\",\"Find(0)=0, Find(3)=1, Add (0,3)=10 Succeeded, w=20\",\"Find(0)=1, Find(4)=1, Add (0,4)=16 Failed, w=20\",\"Find(0)=1, Find(2)=2, Add (0,2)=32 Succeeded, w=52\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=52\",\"Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=52\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=52\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=52\",\"Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,2,32],[0,3,10],[0,4,16],[1,2,95],[1,3,51],[1,4,5],[2,3,61],[2,4,40],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(3,4)=5,(0,3)=10,(0,4)=16,(0,2)=32,(2,4)=40,(1,3)=51,(2,3)=61,(0,1)=67,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=5 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=10 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=16 Failed, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=32 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,39],[0,3,84],[1,4,49],[2,3,11],[3,4,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,39],[0,3,84],[1,4,49],[2,3,11],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,39],[0,3,84],[1,4,49],[2,3,11],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,39],[0,3,84],[1,4,49],[2,3,11],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (0,2)=39, w=50\",\"Add (1,4)=49, w=99\",\"Add (3,4)=88, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,39],[0,3,84],[1,4,49],[2,3,11],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (0,2)=39 Succeeded, w=50\",\"Add (1,4)=49 Succeeded, w=99\",\"Add (0,3)=84 Failed, w=99\",\"Add (3,4)=88 Succeeded, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,39],[0,3,84],[1,4,49],[2,3,11],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,2)=39,(1,4)=49,(0,3)=84,(3,4)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=50\",\"Find(1)=1, Find(4)=4, Add (1,4)=49 Succeeded, w=99\",\"Find(0)=2, Find(3)=2, Add (0,3)=84 Failed, w=99\",\"Find(3)=2, Find(4)=1, Add (3,4)=88 Succeeded, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,39],[0,3,84],[1,4,49],[2,3,11],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,2)=39,(1,4)=49,(0,3)=84,(3,4)=88]\",\"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: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=49 Succeeded, w=99\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(3)=2, Add (0,3)=84 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(3)=2, Find(4)=1, Add (3,4)=88 Succeeded, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,20],[1,2,18],[1,3,28],[2,3,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,20],[1,2,18],[1,3,28],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,20],[1,2,18],[1,3,28],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,20],[1,2,18],[1,3,28],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=17, w=17\",\"Add (1,2)=18, w=35\",\"Add (0,3)=20, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,20],[1,2,18],[1,3,28],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=17 Succeeded, w=17\",\"Add (1,2)=18 Succeeded, w=35\",\"Add (0,3)=20 Succeeded, w=55\",\"Add (1,3)=28 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,20],[1,2,18],[1,3,28],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=17,(1,2)=18,(0,3)=20,(1,3)=28]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=17\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=35\",\"Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=55\",\"Find(1)=2, Find(3)=2, Add (1,3)=28 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,20],[1,2,18],[1,3,28],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=17,(1,2)=18,(0,3)=20,(1,3)=28]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=20 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=28 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,81],[0,3,87],[0,4,38],[1,2,91],[1,3,0],[1,4,58],[2,3,34],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,81],[0,3,87],[0,4,38],[1,2,91],[1,3,0],[1,4,58],[2,3,34],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,81],[0,3,87],[0,4,38],[1,2,91],[1,3,0],[1,4,58],[2,3,34],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,81],[0,3,87],[0,4,38],[1,2,91],[1,3,0],[1,4,58],[2,3,34],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,1)=9, w=9\",\"Add (2,3)=34, w=43\",\"Add (0,4)=38, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,81],[0,3,87],[0,4,38],[1,2,91],[1,3,0],[1,4,58],[2,3,34],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,1)=9 Succeeded, w=9\",\"Add (2,3)=34 Succeeded, w=43\",\"Add (0,4)=38 Succeeded, w=81\",\"Add (1,4)=58 Failed, w=81\",\"Add (0,2)=81 Failed, w=81\",\"Add (3,4)=83 Failed, w=81\",\"Add (0,3)=87 Failed, w=81\",\"Add (1,2)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,81],[0,3,87],[0,4,38],[1,2,91],[1,3,0],[1,4,58],[2,3,34],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=9,(2,3)=34,(0,4)=38,(1,4)=58,(0,2)=81,(3,4)=83,(0,3)=87,(1,2)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=1, Add (2,3)=34 Succeeded, w=43\",\"Find(0)=1, Find(4)=4, Add (0,4)=38 Succeeded, w=81\",\"Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=81\",\"Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=81\",\"Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=81\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=81\",\"Find(1)=1, Find(2)=1, Add (1,2)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,81],[0,3,87],[0,4,38],[1,2,91],[1,3,0],[1,4,58],[2,3,34],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=9,(2,3)=34,(0,4)=38,(1,4)=58,(0,2)=81,(3,4)=83,(0,3)=87,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=34 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=38 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,31],[0,2,15],[0,3,40],[0,4,15],[0,5,85],[0,6,91],[1,2,83],[1,3,39],[1,4,37],[1,5,80],[1,6,97],[2,3,2],[2,5,24],[2,6,87],[3,4,21],[3,6,8],[4,5,14],[4,6,20],[5,6,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,15],[0,3,40],[0,4,15],[0,5,85],[0,6,91],[1,2,83],[1,3,39],[1,4,37],[1,5,80],[1,6,97],[2,3,2],[2,5,24],[2,6,87],[3,4,21],[3,6,8],[4,5,14],[4,6,20],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,15],[0,3,40],[0,4,15],[0,5,85],[0,6,91],[1,2,83],[1,3,39],[1,4,37],[1,5,80],[1,6,97],[2,3,2],[2,5,24],[2,6,87],[3,4,21],[3,6,8],[4,5,14],[4,6,20],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,15],[0,3,40],[0,4,15],[0,5,85],[0,6,91],[1,2,83],[1,3,39],[1,4,37],[1,5,80],[1,6,97],[2,3,2],[2,5,24],[2,6,87],[3,4,21],[3,6,8],[4,5,14],[4,6,20],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (3,6)=8, w=10\",\"Add (4,5)=14, w=24\",\"Add (0,2)=15, w=39\",\"Add (0,4)=15, w=54\",\"Add (0,1)=31, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,15],[0,3,40],[0,4,15],[0,5,85],[0,6,91],[1,2,83],[1,3,39],[1,4,37],[1,5,80],[1,6,97],[2,3,2],[2,5,24],[2,6,87],[3,4,21],[3,6,8],[4,5,14],[4,6,20],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (3,6)=8 Succeeded, w=10\",\"Add (4,5)=14 Succeeded, w=24\",\"Add (0,2)=15 Succeeded, w=39\",\"Add (0,4)=15 Succeeded, w=54\",\"Add (4,6)=20 Failed, w=54\",\"Add (3,4)=21 Failed, w=54\",\"Add (2,5)=24 Failed, w=54\",\"Add (0,1)=31 Succeeded, w=85\",\"Add (1,4)=37 Failed, w=85\",\"Add (1,3)=39 Failed, w=85\",\"Add (0,3)=40 Failed, w=85\",\"Add (5,6)=45 Failed, w=85\",\"Add (1,5)=80 Failed, w=85\",\"Add (1,2)=83 Failed, w=85\",\"Add (0,5)=85 Failed, w=85\",\"Add (2,6)=87 Failed, w=85\",\"Add (0,6)=91 Failed, w=85\",\"Add (1,6)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,15],[0,3,40],[0,4,15],[0,5,85],[0,6,91],[1,2,83],[1,3,39],[1,4,37],[1,5,80],[1,6,97],[2,3,2],[2,5,24],[2,6,87],[3,4,21],[3,6,8],[4,5,14],[4,6,20],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(3,6)=8,(4,5)=14,(0,2)=15,(0,4)=15,(4,6)=20,(3,4)=21,(2,5)=24,(0,1)=31,(1,4)=37,(1,3)=39,(0,3)=40,(5,6)=45,(1,5)=80,(1,2)=83,(0,5)=85,(2,6)=87,(0,6)=91,(1,6)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(3)=2, Find(6)=6, Add (3,6)=8 Succeeded, w=10\",\"Find(4)=4, Find(5)=5, Add (4,5)=14 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=39\",\"Find(0)=2, Find(4)=4, Add (0,4)=15 Succeeded, w=54\",\"Find(4)=2, Find(6)=2, Add (4,6)=20 Failed, w=54\",\"Find(3)=2, Find(4)=2, Add (3,4)=21 Failed, w=54\",\"Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=54\",\"Find(0)=2, Find(1)=1, Add (0,1)=31 Succeeded, w=85\",\"Find(1)=2, Find(4)=2, Add (1,4)=37 Failed, w=85\",\"Find(1)=2, Find(3)=2, Add (1,3)=39 Failed, w=85\",\"Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=85\",\"Find(5)=2, Find(6)=2, Add (5,6)=45 Failed, w=85\",\"Find(1)=2, Find(5)=2, Add (1,5)=80 Failed, w=85\",\"Find(1)=2, Find(2)=2, Add (1,2)=83 Failed, w=85\",\"Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=85\",\"Find(2)=2, Find(6)=2, Add (2,6)=87 Failed, w=85\",\"Find(0)=2, Find(6)=2, Add (0,6)=91 Failed, w=85\",\"Find(1)=2, Find(6)=2, Add (1,6)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,2,15],[0,3,40],[0,4,15],[0,5,85],[0,6,91],[1,2,83],[1,3,39],[1,4,37],[1,5,80],[1,6,97],[2,3,2],[2,5,24],[2,6,87],[3,4,21],[3,6,8],[4,5,14],[4,6,20],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(3,6)=8,(4,5)=14,(0,2)=15,(0,4)=15,(4,6)=20,(3,4)=21,(2,5)=24,(0,1)=31,(1,4)=37,(1,3)=39,(0,3)=40,(5,6)=45,(1,5)=80,(1,2)=83,(0,5)=85,(2,6)=87,(0,6)=91,(1,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2}, Find(4)=4, Find(5)=5, Add (4,5)=14 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(0)=2, Find(4)=4, Add (0,4)=15 Succeeded, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=20 Failed, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=21 Failed, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=1, Add (0,1)=31 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=37 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=39 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=45 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=80 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=83 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=87 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=91 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,34],[0,3,60],[0,4,42],[1,3,69],[2,3,97],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,3,60],[0,4,42],[1,3,69],[2,3,97],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,3,60],[0,4,42],[1,3,69],[2,3,97],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,3,60],[0,4,42],[1,3,69],[2,3,97],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=29, w=29\",\"Add (0,1)=34, w=63\",\"Add (0,4)=42, w=105\",\"Add (2,3)=97, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,3,60],[0,4,42],[1,3,69],[2,3,97],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=29 Succeeded, w=29\",\"Add (0,1)=34 Succeeded, w=63\",\"Add (0,4)=42 Succeeded, w=105\",\"Add (0,3)=60 Failed, w=105\",\"Add (1,3)=69 Failed, w=105\",\"Add (2,3)=97 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,3,60],[0,4,42],[1,3,69],[2,3,97],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=29,(0,1)=34,(0,4)=42,(0,3)=60,(1,3)=69,(2,3)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=63\",\"Find(0)=0, Find(4)=3, Add (0,4)=42 Succeeded, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=105\",\"Find(2)=2, Find(3)=0, Add (2,3)=97 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,3,60],[0,4,42],[1,3,69],[2,3,97],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=29,(0,1)=34,(0,4)=42,(0,3)=60,(1,3)=69,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=42 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=2, Find(3)=0, Add (2,3)=97 Succeeded, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,51],[1,2,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[1,2,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[1,2,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[1,2,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=51, w=51\",\"Add (1,2)=58, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[1,2,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=51 Succeeded, w=51\",\"Add (1,2)=58 Succeeded, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[1,2,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=51,(1,2)=58]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=51\",\"Find(1)=0, Find(2)=2, Add (1,2)=58 Succeeded, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[1,2,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=51,(1,2)=58]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=58 Succeeded, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,4,41],[1,3,44],[1,4,80],[2,3,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,41],[1,3,44],[1,4,80],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,41],[1,3,44],[1,4,80],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,41],[1,3,44],[1,4,80],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=39, w=39\",\"Add (2,3)=39, w=78\",\"Add (0,4)=41, w=119\",\"Add (1,3)=44, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,41],[1,3,44],[1,4,80],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=39 Succeeded, w=39\",\"Add (2,3)=39 Succeeded, w=78\",\"Add (0,4)=41 Succeeded, w=119\",\"Add (1,3)=44 Succeeded, w=163\",\"Add (1,4)=80 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,41],[1,3,44],[1,4,80],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=39,(2,3)=39,(0,4)=41,(1,3)=44,(1,4)=80]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=39\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=78\",\"Find(0)=0, Find(4)=4, Add (0,4)=41 Succeeded, w=119\",\"Find(1)=0, Find(3)=2, Add (1,3)=44 Succeeded, w=163\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,41],[1,3,44],[1,4,80],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=39,(2,3)=39,(0,4)=41,(1,3)=44,(1,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=41 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(3)=2, Add (1,3)=44 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,73],[0,2,78],[0,3,71],[0,4,87],[0,5,48],[0,6,81],[1,2,54],[1,3,67],[1,4,70],[1,5,33],[1,6,43],[2,3,4],[2,4,77],[2,5,24],[2,6,54],[3,4,15],[3,6,82],[4,5,80],[4,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,78],[0,3,71],[0,4,87],[0,5,48],[0,6,81],[1,2,54],[1,3,67],[1,4,70],[1,5,33],[1,6,43],[2,3,4],[2,4,77],[2,5,24],[2,6,54],[3,4,15],[3,6,82],[4,5,80],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,78],[0,3,71],[0,4,87],[0,5,48],[0,6,81],[1,2,54],[1,3,67],[1,4,70],[1,5,33],[1,6,43],[2,3,4],[2,4,77],[2,5,24],[2,6,54],[3,4,15],[3,6,82],[4,5,80],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (0,5)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,78],[0,3,71],[0,4,87],[0,5,48],[0,6,81],[1,2,54],[1,3,67],[1,4,70],[1,5,33],[1,6,43],[2,3,4],[2,4,77],[2,5,24],[2,6,54],[3,4,15],[3,6,82],[4,5,80],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (3,4)=15, w=19\",\"Add (2,5)=24, w=43\",\"Add (1,5)=33, w=76\",\"Add (1,6)=43, w=119\",\"Add (0,5)=48, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,78],[0,3,71],[0,4,87],[0,5,48],[0,6,81],[1,2,54],[1,3,67],[1,4,70],[1,5,33],[1,6,43],[2,3,4],[2,4,77],[2,5,24],[2,6,54],[3,4,15],[3,6,82],[4,5,80],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (3,4)=15 Succeeded, w=19\",\"Add (2,5)=24 Succeeded, w=43\",\"Add (1,5)=33 Succeeded, w=76\",\"Add (1,6)=43 Succeeded, w=119\",\"Add (0,5)=48 Succeeded, w=167\",\"Add (1,2)=54 Failed, w=167\",\"Add (2,6)=54 Failed, w=167\",\"Add (1,3)=67 Failed, w=167\",\"Add (1,4)=70 Failed, w=167\",\"Add (0,3)=71 Failed, w=167\",\"Add (0,1)=73 Failed, w=167\",\"Add (2,4)=77 Failed, w=167\",\"Add (0,2)=78 Failed, w=167\",\"Add (4,5)=80 Failed, w=167\",\"Add (0,6)=81 Failed, w=167\",\"Add (3,6)=82 Failed, w=167\",\"Add (0,4)=87 Failed, w=167\",\"Add (4,6)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,78],[0,3,71],[0,4,87],[0,5,48],[0,6,81],[1,2,54],[1,3,67],[1,4,70],[1,5,33],[1,6,43],[2,3,4],[2,4,77],[2,5,24],[2,6,54],[3,4,15],[3,6,82],[4,5,80],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(3,4)=15,(2,5)=24,(1,5)=33,(1,6)=43,(0,5)=48,(1,2)=54,(2,6)=54,(1,3)=67,(1,4)=70,(0,3)=71,(0,1)=73,(2,4)=77,(0,2)=78,(4,5)=80,(0,6)=81,(3,6)=82,(0,4)=87,(4,6)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(3)=2, Find(4)=4, Add (3,4)=15 Succeeded, w=19\",\"Find(2)=2, Find(5)=5, Add (2,5)=24 Succeeded, w=43\",\"Find(1)=1, Find(5)=2, Add (1,5)=33 Succeeded, w=76\",\"Find(1)=2, Find(6)=6, Add (1,6)=43 Succeeded, w=119\",\"Find(0)=0, Find(5)=2, Add (0,5)=48 Succeeded, w=167\",\"Find(1)=2, Find(2)=2, Add (1,2)=54 Failed, w=167\",\"Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=167\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=167\",\"Find(1)=2, Find(4)=2, Add (1,4)=70 Failed, w=167\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=167\",\"Find(0)=2, Find(1)=2, Add (0,1)=73 Failed, w=167\",\"Find(2)=2, Find(4)=2, Add (2,4)=77 Failed, w=167\",\"Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=167\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=167\",\"Find(0)=2, Find(6)=2, Add (0,6)=81 Failed, w=167\",\"Find(3)=2, Find(6)=2, Add (3,6)=82 Failed, w=167\",\"Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=167\",\"Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,78],[0,3,71],[0,4,87],[0,5,48],[0,6,81],[1,2,54],[1,3,67],[1,4,70],[1,5,33],[1,6,43],[2,3,4],[2,4,77],[2,5,24],[2,6,54],[3,4,15],[3,6,82],[4,5,80],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(3,4)=15,(2,5)=24,(1,5)=33,(1,6)=43,(0,5)=48,(1,2)=54,(2,6)=54,(1,3)=67,(1,4)=70,(0,3)=71,(0,1)=73,(2,4)=77,(0,2)=78,(4,5)=80,(0,6)=81,(3,6)=82,(0,4)=87,(4,6)=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: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=2, Find(4)=4, Add (3,4)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=24 Succeeded, w=43\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=33 Succeeded, w=76\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=6, Add (1,6)=43 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(5)=2, Add (0,5)=48 Succeeded, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=54 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=167\",\"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=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=70 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=73 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=77 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=81 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=82 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=167\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,98],[0,2,10],[0,3,97],[1,2,50],[1,3,66],[1,4,19],[2,3,96],[2,4,21],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,10],[0,3,97],[1,2,50],[1,3,66],[1,4,19],[2,3,96],[2,4,21],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,10],[0,3,97],[1,2,50],[1,3,66],[1,4,19],[2,3,96],[2,4,21],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,10],[0,3,97],[1,2,50],[1,3,66],[1,4,19],[2,3,96],[2,4,21],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (3,4)=11, w=21\",\"Add (1,4)=19, w=40\",\"Add (2,4)=21, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,10],[0,3,97],[1,2,50],[1,3,66],[1,4,19],[2,3,96],[2,4,21],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (3,4)=11 Succeeded, w=21\",\"Add (1,4)=19 Succeeded, w=40\",\"Add (2,4)=21 Succeeded, w=61\",\"Add (1,2)=50 Failed, w=61\",\"Add (1,3)=66 Failed, w=61\",\"Add (2,3)=96 Failed, w=61\",\"Add (0,3)=97 Failed, w=61\",\"Add (0,1)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,10],[0,3,97],[1,2,50],[1,3,66],[1,4,19],[2,3,96],[2,4,21],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(3,4)=11,(1,4)=19,(2,4)=21,(1,2)=50,(1,3)=66,(2,3)=96,(0,3)=97,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=21\",\"Find(1)=1, Find(4)=3, Add (1,4)=19 Succeeded, w=40\",\"Find(2)=0, Find(4)=3, Add (2,4)=21 Succeeded, w=61\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=61\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=61\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=61\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=61\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,10],[0,3,97],[1,2,50],[1,3,66],[1,4,19],[2,3,96],[2,4,21],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(3,4)=11,(1,4)=19,(2,4)=21,(1,2)=50,(1,3)=66,(2,3)=96,(0,3)=97,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=19 Succeeded, w=40\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=21 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,23],[0,3,80],[0,4,59],[0,5,74],[0,6,45],[0,7,62],[1,4,45],[1,5,23],[1,6,45],[1,7,7],[2,3,29],[2,5,95],[2,6,32],[2,7,12],[3,5,77],[3,6,48],[3,7,50],[4,5,46],[4,6,67],[4,7,70],[5,6,49],[5,7,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[0,4,59],[0,5,74],[0,6,45],[0,7,62],[1,4,45],[1,5,23],[1,6,45],[1,7,7],[2,3,29],[2,5,95],[2,6,32],[2,7,12],[3,5,77],[3,6,48],[3,7,50],[4,5,46],[4,6,67],[4,7,70],[5,6,49],[5,7,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[0,4,59],[0,5,74],[0,6,45],[0,7,62],[1,4,45],[1,5,23],[1,6,45],[1,7,7],[2,3,29],[2,5,95],[2,6,32],[2,7,12],[3,5,77],[3,6,48],[3,7,50],[4,5,46],[4,6,67],[4,7,70],[5,6,49],[5,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (2,7)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (2,6)\",\"Add (1,4)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[0,4,59],[0,5,74],[0,6,45],[0,7,62],[1,4,45],[1,5,23],[1,6,45],[1,7,7],[2,3,29],[2,5,95],[2,6,32],[2,7,12],[3,5,77],[3,6,48],[3,7,50],[4,5,46],[4,6,67],[4,7,70],[5,6,49],[5,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=7, w=7\",\"Add (2,7)=12, w=19\",\"Add (0,2)=23, w=42\",\"Add (1,5)=23, w=65\",\"Add (2,3)=29, w=94\",\"Add (2,6)=32, w=126\",\"Add (1,4)=45, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[0,4,59],[0,5,74],[0,6,45],[0,7,62],[1,4,45],[1,5,23],[1,6,45],[1,7,7],[2,3,29],[2,5,95],[2,6,32],[2,7,12],[3,5,77],[3,6,48],[3,7,50],[4,5,46],[4,6,67],[4,7,70],[5,6,49],[5,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=7 Succeeded, w=7\",\"Add (2,7)=12 Succeeded, w=19\",\"Add (0,2)=23 Succeeded, w=42\",\"Add (1,5)=23 Succeeded, w=65\",\"Add (2,3)=29 Succeeded, w=94\",\"Add (2,6)=32 Succeeded, w=126\",\"Add (5,7)=37 Failed, w=126\",\"Add (0,6)=45 Failed, w=126\",\"Add (1,4)=45 Succeeded, w=171\",\"Add (1,6)=45 Failed, w=171\",\"Add (4,5)=46 Failed, w=171\",\"Add (3,6)=48 Failed, w=171\",\"Add (5,6)=49 Failed, w=171\",\"Add (3,7)=50 Failed, w=171\",\"Add (0,4)=59 Failed, w=171\",\"Add (0,7)=62 Failed, w=171\",\"Add (4,6)=67 Failed, w=171\",\"Add (4,7)=70 Failed, w=171\",\"Add (0,5)=74 Failed, w=171\",\"Add (3,5)=77 Failed, w=171\",\"Add (0,3)=80 Failed, w=171\",\"Add (2,5)=95 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[0,4,59],[0,5,74],[0,6,45],[0,7,62],[1,4,45],[1,5,23],[1,6,45],[1,7,7],[2,3,29],[2,5,95],[2,6,32],[2,7,12],[3,5,77],[3,6,48],[3,7,50],[4,5,46],[4,6,67],[4,7,70],[5,6,49],[5,7,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=7,(2,7)=12,(0,2)=23,(1,5)=23,(2,3)=29,(2,6)=32,(5,7)=37,(0,6)=45,(1,4)=45,(1,6)=45,(4,5)=46,(3,6)=48,(5,6)=49,(3,7)=50,(0,4)=59,(0,7)=62,(4,6)=67,(4,7)=70,(0,5)=74,(3,5)=77,(0,3)=80,(2,5)=95]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Find(2)=2, Find(7)=1, Add (2,7)=12 Succeeded, w=19\",\"Find(0)=0, Find(2)=1, Add (0,2)=23 Succeeded, w=42\",\"Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=65\",\"Find(2)=1, Find(3)=3, Add (2,3)=29 Succeeded, w=94\",\"Find(2)=1, Find(6)=6, Add (2,6)=32 Succeeded, w=126\",\"Find(5)=1, Find(7)=1, Add (5,7)=37 Failed, w=126\",\"Find(0)=1, Find(6)=1, Add (0,6)=45 Failed, w=126\",\"Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=171\",\"Find(1)=1, Find(6)=1, Add (1,6)=45 Failed, w=171\",\"Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=171\",\"Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=171\",\"Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=171\",\"Find(3)=1, Find(7)=1, Add (3,7)=50 Failed, w=171\",\"Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=171\",\"Find(0)=1, Find(7)=1, Add (0,7)=62 Failed, w=171\",\"Find(4)=1, Find(6)=1, Add (4,6)=67 Failed, w=171\",\"Find(4)=1, Find(7)=1, Add (4,7)=70 Failed, w=171\",\"Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=171\",\"Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=171\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=171\",\"Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[0,4,59],[0,5,74],[0,6,45],[0,7,62],[1,4,45],[1,5,23],[1,6,45],[1,7,7],[2,3,29],[2,5,95],[2,6,32],[2,7,12],[3,5,77],[3,6,48],[3,7,50],[4,5,46],[4,6,67],[4,7,70],[5,6,49],[5,7,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=7,(2,7)=12,(0,2)=23,(1,5)=23,(2,3)=29,(2,6)=32,(5,7)=37,(0,6)=45,(1,4)=45,(1,6)=45,(4,5)=46,(3,6)=48,(5,6)=49,(3,7)=50,(0,4)=59,(0,7)=62,(4,6)=67,(4,7)=70,(0,5)=74,(3,5)=77,(0,3)=80,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=12 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=23 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(3)=3, Add (2,3)=29 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=32 Succeeded, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=37 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=45 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=171\",\"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)=45 Failed, w=171\",\"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)=46 Failed, w=171\",\"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)=48 Failed, w=171\",\"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)=49 Failed, w=171\",\"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)=50 Failed, w=171\",\"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)=59 Failed, w=171\",\"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)=62 Failed, w=171\",\"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)=67 Failed, w=171\",\"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)=70 Failed, w=171\",\"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)=74 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=171\",\"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)=80 Failed, w=171\",\"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)=95 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,81],[0,2,57],[0,3,61],[0,4,95],[0,5,75],[1,2,82],[1,3,21],[1,5,90],[1,6,96],[2,3,83],[2,4,67],[2,6,70],[3,4,58],[3,5,83],[4,5,74],[4,6,57],[5,6,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,57],[0,3,61],[0,4,95],[0,5,75],[1,2,82],[1,3,21],[1,5,90],[1,6,96],[2,3,83],[2,4,67],[2,6,70],[3,4,58],[3,5,83],[4,5,74],[4,6,57],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,57],[0,3,61],[0,4,95],[0,5,75],[1,2,82],[1,3,21],[1,5,90],[1,6,96],[2,3,83],[2,4,67],[2,6,70],[3,4,58],[3,5,83],[4,5,74],[4,6,57],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,57],[0,3,61],[0,4,95],[0,5,75],[1,2,82],[1,3,21],[1,5,90],[1,6,96],[2,3,83],[2,4,67],[2,6,70],[3,4,58],[3,5,83],[4,5,74],[4,6,57],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=15, w=15\",\"Add (1,3)=21, w=36\",\"Add (0,2)=57, w=93\",\"Add (4,6)=57, w=150\",\"Add (3,4)=58, w=208\",\"Add (0,3)=61, w=269\"],\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,57],[0,3,61],[0,4,95],[0,5,75],[1,2,82],[1,3,21],[1,5,90],[1,6,96],[2,3,83],[2,4,67],[2,6,70],[3,4,58],[3,5,83],[4,5,74],[4,6,57],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=15 Succeeded, w=15\",\"Add (1,3)=21 Succeeded, w=36\",\"Add (0,2)=57 Succeeded, w=93\",\"Add (4,6)=57 Succeeded, w=150\",\"Add (3,4)=58 Succeeded, w=208\",\"Add (0,3)=61 Succeeded, w=269\",\"Add (2,4)=67 Failed, w=269\",\"Add (2,6)=70 Failed, w=269\",\"Add (4,5)=74 Failed, w=269\",\"Add (0,5)=75 Failed, w=269\",\"Add (0,1)=81 Failed, w=269\",\"Add (1,2)=82 Failed, w=269\",\"Add (2,3)=83 Failed, w=269\",\"Add (3,5)=83 Failed, w=269\",\"Add (1,5)=90 Failed, w=269\",\"Add (0,4)=95 Failed, w=269\",\"Add (1,6)=96 Failed, w=269\"],\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,57],[0,3,61],[0,4,95],[0,5,75],[1,2,82],[1,3,21],[1,5,90],[1,6,96],[2,3,83],[2,4,67],[2,6,70],[3,4,58],[3,5,83],[4,5,74],[4,6,57],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=15,(1,3)=21,(0,2)=57,(4,6)=57,(3,4)=58,(0,3)=61,(2,4)=67,(2,6)=70,(4,5)=74,(0,5)=75,(0,1)=81,(1,2)=82,(2,3)=83,(3,5)=83,(1,5)=90,(0,4)=95,(1,6)=96]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=36\",\"Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=93\",\"Find(4)=4, Find(6)=5, Add (4,6)=57 Succeeded, w=150\",\"Find(3)=1, Find(4)=5, Add (3,4)=58 Succeeded, w=208\",\"Find(0)=0, Find(3)=1, Add (0,3)=61 Succeeded, w=269\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=269\",\"Find(2)=1, Find(6)=1, Add (2,6)=70 Failed, w=269\",\"Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=269\",\"Find(0)=1, Find(5)=1, Add (0,5)=75 Failed, w=269\",\"Find(0)=1, Find(1)=1, Add (0,1)=81 Failed, w=269\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=269\",\"Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=269\",\"Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=269\",\"Find(1)=1, Find(5)=1, Add (1,5)=90 Failed, w=269\",\"Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=269\",\"Find(1)=1, Find(6)=1, Add (1,6)=96 Failed, w=269\"],\"Answer\":269}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,57],[0,3,61],[0,4,95],[0,5,75],[1,2,82],[1,3,21],[1,5,90],[1,6,96],[2,3,83],[2,4,67],[2,6,70],[3,4,58],[3,5,83],[4,5,74],[4,6,57],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=15,(1,3)=21,(0,2)=57,(4,6)=57,(3,4)=58,(0,3)=61,(2,4)=67,(2,6)=70,(4,5)=74,(0,5)=75,(0,1)=81,(1,2)=82,(2,3)=83,(3,5)=83,(1,5)=90,(0,4)=95,(1,6)=96]\",\"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)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=93\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(6)=5, Add (4,6)=57 Succeeded, w=150\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 5, 5: 1, 6: 5}, Find(3)=1, Find(4)=5, Add (3,4)=58 Succeeded, w=208\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 5, 5: 1, 6: 5}, Find(0)=0, Find(3)=1, Add (0,3)=61 Succeeded, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=70 Failed, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=75 Failed, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=81 Failed, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=90 Failed, w=269\",\"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=269\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=96 Failed, w=269\"],\"Answer\":269}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,9],[0,3,45],[0,4,19],[0,5,96],[1,2,88],[1,4,94],[1,5,50],[1,6,34],[2,3,65],[2,4,69],[2,5,93],[2,6,80],[3,4,79],[3,5,99],[4,5,24],[4,6,86],[5,6,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,9],[0,3,45],[0,4,19],[0,5,96],[1,2,88],[1,4,94],[1,5,50],[1,6,34],[2,3,65],[2,4,69],[2,5,93],[2,6,80],[3,4,79],[3,5,99],[4,5,24],[4,6,86],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,9],[0,3,45],[0,4,19],[0,5,96],[1,2,88],[1,4,94],[1,5,50],[1,6,34],[2,3,65],[2,4,69],[2,5,93],[2,6,80],[3,4,79],[3,5,99],[4,5,24],[4,6,86],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (0,3)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,9],[0,3,45],[0,4,19],[0,5,96],[1,2,88],[1,4,94],[1,5,50],[1,6,34],[2,3,65],[2,4,69],[2,5,93],[2,6,80],[3,4,79],[3,5,99],[4,5,24],[4,6,86],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,4)=19, w=28\",\"Add (4,5)=24, w=52\",\"Add (0,1)=32, w=84\",\"Add (1,6)=34, w=118\",\"Add (0,3)=45, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,9],[0,3,45],[0,4,19],[0,5,96],[1,2,88],[1,4,94],[1,5,50],[1,6,34],[2,3,65],[2,4,69],[2,5,93],[2,6,80],[3,4,79],[3,5,99],[4,5,24],[4,6,86],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,4)=19 Succeeded, w=28\",\"Add (4,5)=24 Succeeded, w=52\",\"Add (0,1)=32 Succeeded, w=84\",\"Add (1,6)=34 Succeeded, w=118\",\"Add (0,3)=45 Succeeded, w=163\",\"Add (1,5)=50 Failed, w=163\",\"Add (2,3)=65 Failed, w=163\",\"Add (2,4)=69 Failed, w=163\",\"Add (5,6)=74 Failed, w=163\",\"Add (3,4)=79 Failed, w=163\",\"Add (2,6)=80 Failed, w=163\",\"Add (4,6)=86 Failed, w=163\",\"Add (1,2)=88 Failed, w=163\",\"Add (2,5)=93 Failed, w=163\",\"Add (1,4)=94 Failed, w=163\",\"Add (0,5)=96 Failed, w=163\",\"Add (3,5)=99 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,9],[0,3,45],[0,4,19],[0,5,96],[1,2,88],[1,4,94],[1,5,50],[1,6,34],[2,3,65],[2,4,69],[2,5,93],[2,6,80],[3,4,79],[3,5,99],[4,5,24],[4,6,86],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,4)=19,(4,5)=24,(0,1)=32,(1,6)=34,(0,3)=45,(1,5)=50,(2,3)=65,(2,4)=69,(5,6)=74,(3,4)=79,(2,6)=80,(4,6)=86,(1,2)=88,(2,5)=93,(1,4)=94,(0,5)=96,(3,5)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=28\",\"Find(4)=0, Find(5)=5, Add (4,5)=24 Succeeded, w=52\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=84\",\"Find(1)=0, Find(6)=6, Add (1,6)=34 Succeeded, w=118\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=163\",\"Find(1)=0, Find(5)=0, Add (1,5)=50 Failed, w=163\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=163\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=163\",\"Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=163\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=163\",\"Find(2)=0, Find(6)=0, Add (2,6)=80 Failed, w=163\",\"Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=163\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=163\",\"Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=163\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=163\",\"Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=163\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,9],[0,3,45],[0,4,19],[0,5,96],[1,2,88],[1,4,94],[1,5,50],[1,6,34],[2,3,65],[2,4,69],[2,5,93],[2,6,80],[3,4,79],[3,5,99],[4,5,24],[4,6,86],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,4)=19,(4,5)=24,(0,1)=32,(1,6)=34,(0,3)=45,(1,5)=50,(2,3)=65,(2,4)=69,(5,6)=74,(3,4)=79,(2,6)=80,(4,6)=86,(1,2)=88,(2,5)=93,(1,4)=94,(0,5)=96,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=5, Add (4,5)=24 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=34 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=50 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=80 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,27],[0,2,15],[0,3,46],[0,5,26],[1,2,5],[1,3,3],[1,5,11],[2,3,16],[2,4,72],[2,5,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,27],[0,2,15],[0,3,46],[0,5,26],[1,2,5],[1,3,3],[1,5,11],[2,3,16],[2,4,72],[2,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,27],[0,2,15],[0,3,46],[0,5,26],[1,2,5],[1,3,3],[1,5,11],[2,3,16],[2,4,72],[2,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,27],[0,2,15],[0,3,46],[0,5,26],[1,2,5],[1,3,3],[1,5,11],[2,3,16],[2,4,72],[2,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (1,2)=5, w=8\",\"Add (1,5)=11, w=19\",\"Add (0,2)=15, w=34\",\"Add (2,4)=72, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,27],[0,2,15],[0,3,46],[0,5,26],[1,2,5],[1,3,3],[1,5,11],[2,3,16],[2,4,72],[2,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (1,2)=5 Succeeded, w=8\",\"Add (1,5)=11 Succeeded, w=19\",\"Add (0,2)=15 Succeeded, w=34\",\"Add (2,3)=16 Failed, w=34\",\"Add (0,5)=26 Failed, w=34\",\"Add (0,1)=27 Failed, w=34\",\"Add (0,3)=46 Failed, w=34\",\"Add (2,4)=72 Succeeded, w=106\",\"Add (2,5)=83 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,27],[0,2,15],[0,3,46],[0,5,26],[1,2,5],[1,3,3],[1,5,11],[2,3,16],[2,4,72],[2,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=5,(1,5)=11,(0,2)=15,(2,3)=16,(0,5)=26,(0,1)=27,(0,3)=46,(2,4)=72,(2,5)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=19\",\"Find(0)=0, Find(2)=1, Add (0,2)=15 Succeeded, w=34\",\"Find(2)=1, Find(3)=1, Add (2,3)=16 Failed, w=34\",\"Find(0)=1, Find(5)=1, Add (0,5)=26 Failed, w=34\",\"Find(0)=1, Find(1)=1, Add (0,1)=27 Failed, w=34\",\"Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=34\",\"Find(2)=1, Find(4)=4, Add (2,4)=72 Succeeded, w=106\",\"Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,27],[0,2,15],[0,3,46],[0,5,26],[1,2,5],[1,3,3],[1,5,11],[2,3,16],[2,4,72],[2,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=5,(1,5)=11,(0,2)=15,(2,3)=16,(0,5)=26,(0,1)=27,(0,3)=46,(2,4)=72,(2,5)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=0, Find(2)=1, Add (0,2)=15 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=16 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=26 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=27 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=4, Add (2,4)=72 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,76],[0,3,20],[0,5,17],[0,6,36],[1,2,78],[1,3,84],[1,4,35],[1,5,71],[1,6,59],[1,7,81],[2,3,19],[2,4,90],[2,5,20],[2,6,99],[3,5,64],[3,6,2],[3,7,90],[4,5,61],[5,6,30],[6,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,20],[0,5,17],[0,6,36],[1,2,78],[1,3,84],[1,4,35],[1,5,71],[1,6,59],[1,7,81],[2,3,19],[2,4,90],[2,5,20],[2,6,99],[3,5,64],[3,6,2],[3,7,90],[4,5,61],[5,6,30],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,20],[0,5,17],[0,6,36],[1,2,78],[1,3,84],[1,4,35],[1,5,71],[1,6,59],[1,7,81],[2,3,19],[2,4,90],[2,5,20],[2,6,99],[3,5,64],[3,6,2],[3,7,90],[4,5,61],[5,6,30],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (6,7)\",\"Add (1,4)\",\"Add (1,6)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,20],[0,5,17],[0,6,36],[1,2,78],[1,3,84],[1,4,35],[1,5,71],[1,6,59],[1,7,81],[2,3,19],[2,4,90],[2,5,20],[2,6,99],[3,5,64],[3,6,2],[3,7,90],[4,5,61],[5,6,30],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (0,5)=17, w=19\",\"Add (2,3)=19, w=38\",\"Add (0,3)=20, w=58\",\"Add (6,7)=22, w=80\",\"Add (1,4)=35, w=115\",\"Add (1,6)=59, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,20],[0,5,17],[0,6,36],[1,2,78],[1,3,84],[1,4,35],[1,5,71],[1,6,59],[1,7,81],[2,3,19],[2,4,90],[2,5,20],[2,6,99],[3,5,64],[3,6,2],[3,7,90],[4,5,61],[5,6,30],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (0,5)=17 Succeeded, w=19\",\"Add (2,3)=19 Succeeded, w=38\",\"Add (0,3)=20 Succeeded, w=58\",\"Add (2,5)=20 Failed, w=58\",\"Add (6,7)=22 Succeeded, w=80\",\"Add (5,6)=30 Failed, w=80\",\"Add (1,4)=35 Succeeded, w=115\",\"Add (0,6)=36 Failed, w=115\",\"Add (1,6)=59 Succeeded, w=174\",\"Add (4,5)=61 Failed, w=174\",\"Add (3,5)=64 Failed, w=174\",\"Add (1,5)=71 Failed, w=174\",\"Add (0,2)=76 Failed, w=174\",\"Add (1,2)=78 Failed, w=174\",\"Add (1,7)=81 Failed, w=174\",\"Add (1,3)=84 Failed, w=174\",\"Add (2,4)=90 Failed, w=174\",\"Add (3,7)=90 Failed, w=174\",\"Add (2,6)=99 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,20],[0,5,17],[0,6,36],[1,2,78],[1,3,84],[1,4,35],[1,5,71],[1,6,59],[1,7,81],[2,3,19],[2,4,90],[2,5,20],[2,6,99],[3,5,64],[3,6,2],[3,7,90],[4,5,61],[5,6,30],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(0,5)=17,(2,3)=19,(0,3)=20,(2,5)=20,(6,7)=22,(5,6)=30,(1,4)=35,(0,6)=36,(1,6)=59,(4,5)=61,(3,5)=64,(1,5)=71,(0,2)=76,(1,2)=78,(1,7)=81,(1,3)=84,(2,4)=90,(3,7)=90,(2,6)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=19\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=38\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=58\",\"Find(2)=0, Find(5)=0, Add (2,5)=20 Failed, w=58\",\"Find(6)=0, Find(7)=7, Add (6,7)=22 Succeeded, w=80\",\"Find(5)=0, Find(6)=0, Add (5,6)=30 Failed, w=80\",\"Find(1)=1, Find(4)=4, Add (1,4)=35 Succeeded, w=115\",\"Find(0)=0, Find(6)=0, Add (0,6)=36 Failed, w=115\",\"Find(1)=1, Find(6)=0, Add (1,6)=59 Succeeded, w=174\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=174\",\"Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=174\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=174\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=174\",\"Find(1)=0, Find(7)=0, Add (1,7)=81 Failed, w=174\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=174\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=174\",\"Find(3)=0, Find(7)=0, Add (3,7)=90 Failed, w=174\",\"Find(2)=0, Find(6)=0, Add (2,6)=99 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,20],[0,5,17],[0,6,36],[1,2,78],[1,3,84],[1,4,35],[1,5,71],[1,6,59],[1,7,81],[2,3,19],[2,4,90],[2,5,20],[2,6,99],[3,5,64],[3,6,2],[3,7,90],[4,5,61],[5,6,30],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(0,5)=17,(2,3)=19,(0,3)=20,(2,5)=20,(6,7)=22,(5,6)=30,(1,4)=35,(0,6)=36,(1,6)=59,(4,5)=61,(3,5)=64,(1,5)=71,(0,2)=76,(1,2)=78,(1,7)=81,(1,3)=84,(2,4)=90,(3,7)=90,(2,6)=99]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 0, 6: 3, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 0, 4: 4, 5: 0, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 3, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=20 Failed, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=22 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=30 Failed, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=35 Succeeded, w=115\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=36 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(6)=0, Add (1,6)=59 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=174\",\"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)=64 Failed, w=174\",\"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)=71 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=81 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=90 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=99 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,69],[0,2,18],[0,3,79],[0,4,72],[0,5,100],[0,6,19],[0,7,49],[1,2,92],[1,3,53],[1,4,100],[1,5,78],[1,6,27],[1,7,59],[2,3,51],[2,4,40],[2,5,48],[2,6,97],[2,7,67],[3,4,85],[3,5,35],[3,6,32],[3,7,59],[4,6,100],[4,7,53],[5,6,23],[5,7,51],[6,7,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,18],[0,3,79],[0,4,72],[0,5,100],[0,6,19],[0,7,49],[1,2,92],[1,3,53],[1,4,100],[1,5,78],[1,6,27],[1,7,59],[2,3,51],[2,4,40],[2,5,48],[2,6,97],[2,7,67],[3,4,85],[3,5,35],[3,6,32],[3,7,59],[4,6,100],[4,7,53],[5,6,23],[5,7,51],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,18],[0,3,79],[0,4,72],[0,5,100],[0,6,19],[0,7,49],[1,2,92],[1,3,53],[1,4,100],[1,5,78],[1,6,27],[1,7,59],[2,3,51],[2,4,40],[2,5,48],[2,6,97],[2,7,67],[3,4,85],[3,5,35],[3,6,32],[3,7,59],[4,6,100],[4,7,53],[5,6,23],[5,7,51],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (6,7)\",\"Add (3,6)\",\"Add (2,4)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,18],[0,3,79],[0,4,72],[0,5,100],[0,6,19],[0,7,49],[1,2,92],[1,3,53],[1,4,100],[1,5,78],[1,6,27],[1,7,59],[2,3,51],[2,4,40],[2,5,48],[2,6,97],[2,7,67],[3,4,85],[3,5,35],[3,6,32],[3,7,59],[4,6,100],[4,7,53],[5,6,23],[5,7,51],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=18, w=18\",\"Add (0,6)=19, w=37\",\"Add (5,6)=23, w=60\",\"Add (1,6)=27, w=87\",\"Add (6,7)=28, w=115\",\"Add (3,6)=32, w=147\",\"Add (2,4)=40, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,18],[0,3,79],[0,4,72],[0,5,100],[0,6,19],[0,7,49],[1,2,92],[1,3,53],[1,4,100],[1,5,78],[1,6,27],[1,7,59],[2,3,51],[2,4,40],[2,5,48],[2,6,97],[2,7,67],[3,4,85],[3,5,35],[3,6,32],[3,7,59],[4,6,100],[4,7,53],[5,6,23],[5,7,51],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=18 Succeeded, w=18\",\"Add (0,6)=19 Succeeded, w=37\",\"Add (5,6)=23 Succeeded, w=60\",\"Add (1,6)=27 Succeeded, w=87\",\"Add (6,7)=28 Succeeded, w=115\",\"Add (3,6)=32 Succeeded, w=147\",\"Add (3,5)=35 Failed, w=147\",\"Add (2,4)=40 Succeeded, w=187\",\"Add (2,5)=48 Failed, w=187\",\"Add (0,7)=49 Failed, w=187\",\"Add (2,3)=51 Failed, w=187\",\"Add (5,7)=51 Failed, w=187\",\"Add (1,3)=53 Failed, w=187\",\"Add (4,7)=53 Failed, w=187\",\"Add (1,7)=59 Failed, w=187\",\"Add (3,7)=59 Failed, w=187\",\"Add (2,7)=67 Failed, w=187\",\"Add (0,1)=69 Failed, w=187\",\"Add (0,4)=72 Failed, w=187\",\"Add (1,5)=78 Failed, w=187\",\"Add (0,3)=79 Failed, w=187\",\"Add (3,4)=85 Failed, w=187\",\"Add (1,2)=92 Failed, w=187\",\"Add (2,6)=97 Failed, w=187\",\"Add (0,5)=100 Failed, w=187\",\"Add (1,4)=100 Failed, w=187\",\"Add (4,6)=100 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,18],[0,3,79],[0,4,72],[0,5,100],[0,6,19],[0,7,49],[1,2,92],[1,3,53],[1,4,100],[1,5,78],[1,6,27],[1,7,59],[2,3,51],[2,4,40],[2,5,48],[2,6,97],[2,7,67],[3,4,85],[3,5,35],[3,6,32],[3,7,59],[4,6,100],[4,7,53],[5,6,23],[5,7,51],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=18,(0,6)=19,(5,6)=23,(1,6)=27,(6,7)=28,(3,6)=32,(3,5)=35,(2,4)=40,(2,5)=48,(0,7)=49,(2,3)=51,(5,7)=51,(1,3)=53,(4,7)=53,(1,7)=59,(3,7)=59,(2,7)=67,(0,1)=69,(0,4)=72,(1,5)=78,(0,3)=79,(3,4)=85,(1,2)=92,(2,6)=97,(0,5)=100,(1,4)=100,(4,6)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=37\",\"Find(5)=5, Find(6)=0, Add (5,6)=23 Succeeded, w=60\",\"Find(1)=1, Find(6)=0, Add (1,6)=27 Succeeded, w=87\",\"Find(6)=0, Find(7)=7, Add (6,7)=28 Succeeded, w=115\",\"Find(3)=3, Find(6)=0, Add (3,6)=32 Succeeded, w=147\",\"Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=147\",\"Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=187\",\"Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=187\",\"Find(0)=0, Find(7)=0, Add (0,7)=49 Failed, w=187\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=187\",\"Find(5)=0, Find(7)=0, Add (5,7)=51 Failed, w=187\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=187\",\"Find(4)=0, Find(7)=0, Add (4,7)=53 Failed, w=187\",\"Find(1)=0, Find(7)=0, Add (1,7)=59 Failed, w=187\",\"Find(3)=0, Find(7)=0, Add (3,7)=59 Failed, w=187\",\"Find(2)=0, Find(7)=0, Add (2,7)=67 Failed, w=187\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=187\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=187\",\"Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=187\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=187\",\"Find(3)=0, Find(4)=0, Add (3,4)=85 Failed, w=187\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=187\",\"Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=187\",\"Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=187\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=187\",\"Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,18],[0,3,79],[0,4,72],[0,5,100],[0,6,19],[0,7,49],[1,2,92],[1,3,53],[1,4,100],[1,5,78],[1,6,27],[1,7,59],[2,3,51],[2,4,40],[2,5,48],[2,6,97],[2,7,67],[3,4,85],[3,5,35],[3,6,32],[3,7,59],[4,6,100],[4,7,53],[5,6,23],[5,7,51],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=18,(0,6)=19,(5,6)=23,(1,6)=27,(6,7)=28,(3,6)=32,(3,5)=35,(2,4)=40,(2,5)=48,(0,7)=49,(2,3)=51,(5,7)=51,(1,3)=53,(4,7)=53,(1,7)=59,(3,7)=59,(2,7)=67,(0,1)=69,(0,4)=72,(1,5)=78,(0,3)=79,(3,4)=85,(1,2)=92,(2,6)=97,(0,5)=100,(1,4)=100,(4,6)=100]\",\"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)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 7}, Find(5)=5, Find(6)=0, Add (5,6)=23 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=27 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=28 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(6)=0, Add (3,6)=32 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=187\",\"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)=48 Failed, w=187\",\"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)=49 Failed, w=187\",\"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)=51 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=51 Failed, w=187\",\"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=187\",\"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)=53 Failed, w=187\",\"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)=59 Failed, w=187\",\"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)=59 Failed, w=187\",\"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)=67 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=187\",\"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)=72 Failed, w=187\",\"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)=78 Failed, w=187\",\"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)=79 Failed, w=187\",\"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)=85 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=187\",\"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=187\",\"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)=100 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=187\",\"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)=100 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,54],[0,5,41],[1,2,52],[1,3,83],[1,4,37],[1,5,82],[2,5,53],[3,4,17],[3,5,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[0,5,41],[1,2,52],[1,3,83],[1,4,37],[1,5,82],[2,5,53],[3,4,17],[3,5,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[0,5,41],[1,2,52],[1,3,83],[1,4,37],[1,5,82],[2,5,53],[3,4,17],[3,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[0,5,41],[1,2,52],[1,3,83],[1,4,37],[1,5,82],[2,5,53],[3,4,17],[3,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=17, w=17\",\"Add (3,5)=36, w=53\",\"Add (1,4)=37, w=90\",\"Add (0,5)=41, w=131\",\"Add (1,2)=52, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[0,5,41],[1,2,52],[1,3,83],[1,4,37],[1,5,82],[2,5,53],[3,4,17],[3,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=17 Succeeded, w=17\",\"Add (3,5)=36 Succeeded, w=53\",\"Add (1,4)=37 Succeeded, w=90\",\"Add (0,5)=41 Succeeded, w=131\",\"Add (1,2)=52 Succeeded, w=183\",\"Add (2,5)=53 Failed, w=183\",\"Add (0,4)=54 Failed, w=183\",\"Add (1,5)=82 Failed, w=183\",\"Add (1,3)=83 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[0,5,41],[1,2,52],[1,3,83],[1,4,37],[1,5,82],[2,5,53],[3,4,17],[3,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=17,(3,5)=36,(1,4)=37,(0,5)=41,(1,2)=52,(2,5)=53,(0,4)=54,(1,5)=82,(1,3)=83]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Find(3)=3, Find(5)=5, Add (3,5)=36 Succeeded, w=53\",\"Find(1)=1, Find(4)=3, Add (1,4)=37 Succeeded, w=90\",\"Find(0)=0, Find(5)=3, Add (0,5)=41 Succeeded, w=131\",\"Find(1)=3, Find(2)=2, Add (1,2)=52 Succeeded, w=183\",\"Find(2)=3, Find(5)=3, Add (2,5)=53 Failed, w=183\",\"Find(0)=3, Find(4)=3, Add (0,4)=54 Failed, w=183\",\"Find(1)=3, Find(5)=3, Add (1,5)=82 Failed, w=183\",\"Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[0,5,41],[1,2,52],[1,3,83],[1,4,37],[1,5,82],[2,5,53],[3,4,17],[3,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=17,(3,5)=36,(1,4)=37,(0,5)=41,(1,2)=52,(2,5)=53,(0,4)=54,(1,5)=82,(1,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=36 Succeeded, w=53\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(4)=3, Add (1,4)=37 Succeeded, w=90\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=41 Succeeded, w=131\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=2, Add (1,2)=52 Succeeded, w=183\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=53 Failed, w=183\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=54 Failed, w=183\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=82 Failed, w=183\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=83 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,18],[0,3,98],[0,4,73],[0,5,12],[1,3,40],[1,4,28],[1,5,96],[2,3,68],[2,4,78],[2,5,26],[3,4,27],[3,5,5],[4,5,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,98],[0,4,73],[0,5,12],[1,3,40],[1,4,28],[1,5,96],[2,3,68],[2,4,78],[2,5,26],[3,4,27],[3,5,5],[4,5,41]]}",
"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],\"edges\":[[0,1,18],[0,3,98],[0,4,73],[0,5,12],[1,3,40],[1,4,28],[1,5,96],[2,3,68],[2,4,78],[2,5,26],[3,4,27],[3,5,5],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (3,4)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,98],[0,4,73],[0,5,12],[1,3,40],[1,4,28],[1,5,96],[2,3,68],[2,4,78],[2,5,26],[3,4,27],[3,5,5],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5, w=5\",\"Add (0,5)=12, w=17\",\"Add (0,1)=18, w=35\",\"Add (2,5)=26, w=61\",\"Add (3,4)=27, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,98],[0,4,73],[0,5,12],[1,3,40],[1,4,28],[1,5,96],[2,3,68],[2,4,78],[2,5,26],[3,4,27],[3,5,5],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5 Succeeded, w=5\",\"Add (0,5)=12 Succeeded, w=17\",\"Add (0,1)=18 Succeeded, w=35\",\"Add (2,5)=26 Succeeded, w=61\",\"Add (3,4)=27 Succeeded, w=88\",\"Add (1,4)=28 Failed, w=88\",\"Add (1,3)=40 Failed, w=88\",\"Add (4,5)=41 Failed, w=88\",\"Add (2,3)=68 Failed, w=88\",\"Add (0,4)=73 Failed, w=88\",\"Add (2,4)=78 Failed, w=88\",\"Add (1,5)=96 Failed, w=88\",\"Add (0,3)=98 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],\"edges\":[[0,1,18],[0,3,98],[0,4,73],[0,5,12],[1,3,40],[1,4,28],[1,5,96],[2,3,68],[2,4,78],[2,5,26],[3,4,27],[3,5,5],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(0,5)=12,(0,1)=18,(2,5)=26,(3,4)=27,(1,4)=28,(1,3)=40,(4,5)=41,(2,3)=68,(0,4)=73,(2,4)=78,(1,5)=96,(0,3)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=3, Add (0,5)=12 Succeeded, w=17\",\"Find(0)=3, Find(1)=1, Add (0,1)=18 Succeeded, w=35\",\"Find(2)=2, Find(5)=3, Add (2,5)=26 Succeeded, w=61\",\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=88\",\"Find(1)=3, Find(4)=3, Add (1,4)=28 Failed, w=88\",\"Find(1)=3, Find(3)=3, Add (1,3)=40 Failed, w=88\",\"Find(4)=3, Find(5)=3, Add (4,5)=41 Failed, w=88\",\"Find(2)=3, Find(3)=3, Add (2,3)=68 Failed, w=88\",\"Find(0)=3, Find(4)=3, Add (0,4)=73 Failed, w=88\",\"Find(2)=3, Find(4)=3, Add (2,4)=78 Failed, w=88\",\"Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=88\",\"Find(0)=3, Find(3)=3, Add (0,3)=98 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],\"edges\":[[0,1,18],[0,3,98],[0,4,73],[0,5,12],[1,3,40],[1,4,28],[1,5,96],[2,3,68],[2,4,78],[2,5,26],[3,4,27],[3,5,5],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(0,5)=12,(0,1)=18,(2,5)=26,(3,4)=27,(1,4)=28,(1,3)=40,(4,5)=41,(2,3)=68,(0,4)=73,(2,4)=78,(1,5)=96,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=12 Succeeded, w=17\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(1)=1, Add (0,1)=18 Succeeded, w=35\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=26 Succeeded, w=61\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=28 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=40 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=41 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=68 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=73 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=78 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=98 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,92],[0,2,28],[0,3,42],[0,4,41],[0,5,44],[1,2,45],[1,3,72],[1,4,94],[1,5,46],[1,6,44],[2,3,19],[2,5,74],[2,6,87],[3,4,65],[3,5,72],[3,6,85],[4,5,53],[4,6,84],[5,6,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,28],[0,3,42],[0,4,41],[0,5,44],[1,2,45],[1,3,72],[1,4,94],[1,5,46],[1,6,44],[2,3,19],[2,5,74],[2,6,87],[3,4,65],[3,5,72],[3,6,85],[4,5,53],[4,6,84],[5,6,42]]}",
"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\":[[0,1,92],[0,2,28],[0,3,42],[0,4,41],[0,5,44],[1,2,45],[1,3,72],[1,4,94],[1,5,46],[1,6,44],[2,3,19],[2,5,74],[2,6,87],[3,4,65],[3,5,72],[3,6,85],[4,5,53],[4,6,84],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (1,6)\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,28],[0,3,42],[0,4,41],[0,5,44],[1,2,45],[1,3,72],[1,4,94],[1,5,46],[1,6,44],[2,3,19],[2,5,74],[2,6,87],[3,4,65],[3,5,72],[3,6,85],[4,5,53],[4,6,84],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=19, w=19\",\"Add (0,2)=28, w=47\",\"Add (0,4)=41, w=88\",\"Add (5,6)=42, w=130\",\"Add (0,5)=44, w=174\",\"Add (1,6)=44, 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\":[[0,1,92],[0,2,28],[0,3,42],[0,4,41],[0,5,44],[1,2,45],[1,3,72],[1,4,94],[1,5,46],[1,6,44],[2,3,19],[2,5,74],[2,6,87],[3,4,65],[3,5,72],[3,6,85],[4,5,53],[4,6,84],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=19 Succeeded, w=19\",\"Add (0,2)=28 Succeeded, w=47\",\"Add (0,4)=41 Succeeded, w=88\",\"Add (0,3)=42 Failed, w=88\",\"Add (5,6)=42 Succeeded, w=130\",\"Add (0,5)=44 Succeeded, w=174\",\"Add (1,6)=44 Succeeded, w=218\",\"Add (1,2)=45 Failed, w=218\",\"Add (1,5)=46 Failed, w=218\",\"Add (4,5)=53 Failed, w=218\",\"Add (3,4)=65 Failed, w=218\",\"Add (1,3)=72 Failed, w=218\",\"Add (3,5)=72 Failed, w=218\",\"Add (2,5)=74 Failed, w=218\",\"Add (4,6)=84 Failed, w=218\",\"Add (3,6)=85 Failed, w=218\",\"Add (2,6)=87 Failed, w=218\",\"Add (0,1)=92 Failed, w=218\",\"Add (1,4)=94 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\":[[0,1,92],[0,2,28],[0,3,42],[0,4,41],[0,5,44],[1,2,45],[1,3,72],[1,4,94],[1,5,46],[1,6,44],[2,3,19],[2,5,74],[2,6,87],[3,4,65],[3,5,72],[3,6,85],[4,5,53],[4,6,84],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=19,(0,2)=28,(0,4)=41,(0,3)=42,(5,6)=42,(0,5)=44,(1,6)=44,(1,2)=45,(1,5)=46,(4,5)=53,(3,4)=65,(1,3)=72,(3,5)=72,(2,5)=74,(4,6)=84,(3,6)=85,(2,6)=87,(0,1)=92,(1,4)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=47\",\"Find(0)=2, Find(4)=4, Add (0,4)=41 Succeeded, w=88\",\"Find(0)=2, Find(3)=2, Add (0,3)=42 Failed, w=88\",\"Find(5)=5, Find(6)=6, Add (5,6)=42 Succeeded, w=130\",\"Find(0)=2, Find(5)=5, Add (0,5)=44 Succeeded, w=174\",\"Find(1)=1, Find(6)=2, Add (1,6)=44 Succeeded, w=218\",\"Find(1)=2, Find(2)=2, Add (1,2)=45 Failed, w=218\",\"Find(1)=2, Find(5)=2, Add (1,5)=46 Failed, w=218\",\"Find(4)=2, Find(5)=2, Add (4,5)=53 Failed, w=218\",\"Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=218\",\"Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=218\",\"Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=218\",\"Find(2)=2, Find(5)=2, Add (2,5)=74 Failed, w=218\",\"Find(4)=2, Find(6)=2, Add (4,6)=84 Failed, w=218\",\"Find(3)=2, Find(6)=2, Add (3,6)=85 Failed, w=218\",\"Find(2)=2, Find(6)=2, Add (2,6)=87 Failed, w=218\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=218\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 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\":[[0,1,92],[0,2,28],[0,3,42],[0,4,41],[0,5,44],[1,2,45],[1,3,72],[1,4,94],[1,5,46],[1,6,44],[2,3,19],[2,5,74],[2,6,87],[3,4,65],[3,5,72],[3,6,85],[4,5,53],[4,6,84],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=19,(0,2)=28,(0,4)=41,(0,3)=42,(5,6)=42,(0,5)=44,(1,6)=44,(1,2)=45,(1,5)=46,(4,5)=53,(3,4)=65,(1,3)=72,(3,5)=72,(2,5)=74,(4,6)=84,(3,6)=85,(2,6)=87,(0,1)=92,(1,4)=94]\",\"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)=19 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(0)=2, Find(4)=4, Add (0,4)=41 Succeeded, w=88\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(0)=2, Find(3)=2, Add (0,3)=42 Failed, w=88\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=42 Succeeded, w=130\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(0)=2, Find(5)=5, Add (0,5)=44 Succeeded, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=44 Succeeded, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=45 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=46 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=53 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=72 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=74 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=84 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=85 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=87 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=218\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,2,24],[0,3,0],[0,4,36],[0,5,7],[1,2,45],[1,4,81],[2,3,5],[2,5,57],[2,6,96],[3,4,20],[3,6,79],[4,5,52],[4,6,16],[5,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,0],[0,4,36],[0,5,7],[1,2,45],[1,4,81],[2,3,5],[2,5,57],[2,6,96],[3,4,20],[3,6,79],[4,5,52],[4,6,16],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,0],[0,4,36],[0,5,7],[1,2,45],[1,4,81],[2,3,5],[2,5,57],[2,6,96],[3,4,20],[3,6,79],[4,5,52],[4,6,16],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (4,6)\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,0],[0,4,36],[0,5,7],[1,2,45],[1,4,81],[2,3,5],[2,5,57],[2,6,96],[3,4,20],[3,6,79],[4,5,52],[4,6,16],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,3)=5, w=5\",\"Add (0,5)=7, w=12\",\"Add (5,6)=7, w=19\",\"Add (0,1)=9, w=28\",\"Add (4,6)=16, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,0],[0,4,36],[0,5,7],[1,2,45],[1,4,81],[2,3,5],[2,5,57],[2,6,96],[3,4,20],[3,6,79],[4,5,52],[4,6,16],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,5)=7 Succeeded, w=12\",\"Add (5,6)=7 Succeeded, w=19\",\"Add (0,1)=9 Succeeded, w=28\",\"Add (4,6)=16 Succeeded, w=44\",\"Add (3,4)=20 Failed, w=44\",\"Add (0,2)=24 Failed, w=44\",\"Add (0,4)=36 Failed, w=44\",\"Add (1,2)=45 Failed, w=44\",\"Add (4,5)=52 Failed, w=44\",\"Add (2,5)=57 Failed, w=44\",\"Add (3,6)=79 Failed, w=44\",\"Add (1,4)=81 Failed, w=44\",\"Add (2,6)=96 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,0],[0,4,36],[0,5,7],[1,2,45],[1,4,81],[2,3,5],[2,5,57],[2,6,96],[3,4,20],[3,6,79],[4,5,52],[4,6,16],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=5,(0,5)=7,(5,6)=7,(0,1)=9,(4,6)=16,(3,4)=20,(0,2)=24,(0,4)=36,(1,2)=45,(4,5)=52,(2,5)=57,(3,6)=79,(1,4)=81,(2,6)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=0, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=12\",\"Find(5)=0, Find(6)=6, Add (5,6)=7 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=28\",\"Find(4)=4, Find(6)=0, Add (4,6)=16 Succeeded, w=44\",\"Find(3)=0, Find(4)=0, Add (3,4)=20 Failed, w=44\",\"Find(0)=0, Find(2)=0, Add (0,2)=24 Failed, w=44\",\"Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=44\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=44\",\"Find(4)=0, Find(5)=0, Add (4,5)=52 Failed, w=44\",\"Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=44\",\"Find(3)=0, Find(6)=0, Add (3,6)=79 Failed, w=44\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=44\",\"Find(2)=0, Find(6)=0, Add (2,6)=96 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,0],[0,4,36],[0,5,7],[1,2,45],[1,4,81],[2,3,5],[2,5,57],[2,6,96],[3,4,20],[3,6,79],[4,5,52],[4,6,16],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=5,(0,5)=7,(5,6)=7,(0,1)=9,(4,6)=16,(3,4)=20,(0,2)=24,(0,4)=36,(1,2)=45,(4,5)=52,(2,5)=57,(3,6)=79,(1,4)=81,(2,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=7 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=16 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=20 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=24 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=36 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=52 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=79 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=96 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,90],[0,2,53],[0,3,0],[0,4,78],[1,2,73],[1,3,5],[2,3,21],[2,4,41],[3,4,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,53],[0,3,0],[0,4,78],[1,2,73],[1,3,5],[2,3,21],[2,4,41],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,53],[0,3,0],[0,4,78],[1,2,73],[1,3,5],[2,3,21],[2,4,41],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,53],[0,3,0],[0,4,78],[1,2,73],[1,3,5],[2,3,21],[2,4,41],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (1,3)=5, w=5\",\"Add (2,3)=21, w=26\",\"Add (2,4)=41, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,53],[0,3,0],[0,4,78],[1,2,73],[1,3,5],[2,3,21],[2,4,41],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,3)=21 Succeeded, w=26\",\"Add (2,4)=41 Succeeded, w=67\",\"Add (0,2)=53 Failed, w=67\",\"Add (1,2)=73 Failed, w=67\",\"Add (0,4)=78 Failed, w=67\",\"Add (0,1)=90 Failed, w=67\",\"Add (3,4)=95 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,53],[0,3,0],[0,4,78],[1,2,73],[1,3,5],[2,3,21],[2,4,41],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,3)=5,(2,3)=21,(2,4)=41,(0,2)=53,(1,2)=73,(0,4)=78,(0,1)=90,(3,4)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=0, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=0, Add (2,3)=21 Succeeded, w=26\",\"Find(2)=0, Find(4)=4, Add (2,4)=41 Succeeded, w=67\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=67\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=67\",\"Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=67\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=67\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,53],[0,3,0],[0,4,78],[1,2,73],[1,3,5],[2,3,21],[2,4,41],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(1,3)=5,(2,3)=21,(2,4)=41,(0,2)=53,(1,2)=73,(0,4)=78,(0,1)=90,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=21 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=41 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,2],[1,2,25],[1,3,75],[2,3,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,25],[1,3,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,25],[1,3,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,25],[1,3,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (1,2)=25, w=27\",\"Add (1,3)=75, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,25],[1,3,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,2)=25 Succeeded, w=27\",\"Add (1,3)=75 Succeeded, w=102\",\"Add (2,3)=79 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,25],[1,3,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,2)=25,(1,3)=75,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=0, Add (1,2)=25 Succeeded, w=27\",\"Find(1)=0, Find(3)=3, Add (1,3)=75 Succeeded, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,2],[1,2,25],[1,3,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,2)=25,(1,3)=75,(2,3)=79]\",\"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: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=25 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=75 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,77],[0,2,30],[0,3,10],[0,4,78],[0,5,65],[0,6,53],[0,7,15],[1,2,29],[1,3,64],[1,4,59],[1,5,7],[1,6,19],[1,7,15],[2,3,97],[2,4,65],[2,5,17],[2,6,11],[2,7,84],[3,4,65],[3,6,37],[3,7,18],[4,5,10],[4,6,39],[4,7,62],[5,6,88],[5,7,33],[6,7,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,30],[0,3,10],[0,4,78],[0,5,65],[0,6,53],[0,7,15],[1,2,29],[1,3,64],[1,4,59],[1,5,7],[1,6,19],[1,7,15],[2,3,97],[2,4,65],[2,5,17],[2,6,11],[2,7,84],[3,4,65],[3,6,37],[3,7,18],[4,5,10],[4,6,39],[4,7,62],[5,6,88],[5,7,33],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,30],[0,3,10],[0,4,78],[0,5,65],[0,6,53],[0,7,15],[1,2,29],[1,3,64],[1,4,59],[1,5,7],[1,6,19],[1,7,15],[2,3,97],[2,4,65],[2,5,17],[2,6,11],[2,7,84],[3,4,65],[3,6,37],[3,7,18],[4,5,10],[4,6,39],[4,7,62],[5,6,88],[5,7,33],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (2,6)\",\"Add (0,7)\",\"Add (1,7)\",\"Add (2,5)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,30],[0,3,10],[0,4,78],[0,5,65],[0,6,53],[0,7,15],[1,2,29],[1,3,64],[1,4,59],[1,5,7],[1,6,19],[1,7,15],[2,3,97],[2,4,65],[2,5,17],[2,6,11],[2,7,84],[3,4,65],[3,6,37],[3,7,18],[4,5,10],[4,6,39],[4,7,62],[5,6,88],[5,7,33],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (0,3)=10, w=17\",\"Add (4,5)=10, w=27\",\"Add (2,6)=11, w=38\",\"Add (0,7)=15, w=53\",\"Add (1,7)=15, w=68\",\"Add (2,5)=17, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,30],[0,3,10],[0,4,78],[0,5,65],[0,6,53],[0,7,15],[1,2,29],[1,3,64],[1,4,59],[1,5,7],[1,6,19],[1,7,15],[2,3,97],[2,4,65],[2,5,17],[2,6,11],[2,7,84],[3,4,65],[3,6,37],[3,7,18],[4,5,10],[4,6,39],[4,7,62],[5,6,88],[5,7,33],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (0,3)=10 Succeeded, w=17\",\"Add (4,5)=10 Succeeded, w=27\",\"Add (2,6)=11 Succeeded, w=38\",\"Add (0,7)=15 Succeeded, w=53\",\"Add (1,7)=15 Succeeded, w=68\",\"Add (2,5)=17 Succeeded, w=85\",\"Add (3,7)=18 Failed, w=85\",\"Add (1,6)=19 Failed, w=85\",\"Add (1,2)=29 Failed, w=85\",\"Add (0,2)=30 Failed, w=85\",\"Add (5,7)=33 Failed, w=85\",\"Add (3,6)=37 Failed, w=85\",\"Add (4,6)=39 Failed, w=85\",\"Add (0,6)=53 Failed, w=85\",\"Add (1,4)=59 Failed, w=85\",\"Add (4,7)=62 Failed, w=85\",\"Add (1,3)=64 Failed, w=85\",\"Add (0,5)=65 Failed, w=85\",\"Add (2,4)=65 Failed, w=85\",\"Add (3,4)=65 Failed, w=85\",\"Add (0,1)=77 Failed, w=85\",\"Add (0,4)=78 Failed, w=85\",\"Add (6,7)=78 Failed, w=85\",\"Add (2,7)=84 Failed, w=85\",\"Add (5,6)=88 Failed, w=85\",\"Add (2,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,30],[0,3,10],[0,4,78],[0,5,65],[0,6,53],[0,7,15],[1,2,29],[1,3,64],[1,4,59],[1,5,7],[1,6,19],[1,7,15],[2,3,97],[2,4,65],[2,5,17],[2,6,11],[2,7,84],[3,4,65],[3,6,37],[3,7,18],[4,5,10],[4,6,39],[4,7,62],[5,6,88],[5,7,33],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(0,3)=10,(4,5)=10,(2,6)=11,(0,7)=15,(1,7)=15,(2,5)=17,(3,7)=18,(1,6)=19,(1,2)=29,(0,2)=30,(5,7)=33,(3,6)=37,(4,6)=39,(0,6)=53,(1,4)=59,(4,7)=62,(1,3)=64,(0,5)=65,(2,4)=65,(3,4)=65,(0,1)=77,(0,4)=78,(6,7)=78,(2,7)=84,(5,6)=88,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=17\",\"Find(4)=4, Find(5)=1, Add (4,5)=10 Succeeded, w=27\",\"Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=38\",\"Find(0)=0, Find(7)=7, Add (0,7)=15 Succeeded, w=53\",\"Find(1)=1, Find(7)=0, Add (1,7)=15 Succeeded, w=68\",\"Find(2)=2, Find(5)=1, Add (2,5)=17 Succeeded, w=85\",\"Find(3)=1, Find(7)=1, Add (3,7)=18 Failed, w=85\",\"Find(1)=1, Find(6)=1, Add (1,6)=19 Failed, w=85\",\"Find(1)=1, Find(2)=1, Add (1,2)=29 Failed, w=85\",\"Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=85\",\"Find(5)=1, Find(7)=1, Add (5,7)=33 Failed, w=85\",\"Find(3)=1, Find(6)=1, Add (3,6)=37 Failed, w=85\",\"Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=85\",\"Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=85\",\"Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=85\",\"Find(4)=1, Find(7)=1, Add (4,7)=62 Failed, w=85\",\"Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=85\",\"Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=85\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=85\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=85\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=85\",\"Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=85\",\"Find(6)=1, Find(7)=1, Add (6,7)=78 Failed, w=85\",\"Find(2)=1, Find(7)=1, Add (2,7)=84 Failed, w=85\",\"Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=85\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,30],[0,3,10],[0,4,78],[0,5,65],[0,6,53],[0,7,15],[1,2,29],[1,3,64],[1,4,59],[1,5,7],[1,6,19],[1,7,15],[2,3,97],[2,4,65],[2,5,17],[2,6,11],[2,7,84],[3,4,65],[3,6,37],[3,7,18],[4,5,10],[4,6,39],[4,7,62],[5,6,88],[5,7,33],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(0,3)=10,(4,5)=10,(2,6)=11,(0,7)=15,(1,7)=15,(2,5)=17,(3,7)=18,(1,6)=19,(1,2)=29,(0,2)=30,(5,7)=33,(3,6)=37,(4,6)=39,(0,6)=53,(1,4)=59,(4,7)=62,(1,3)=64,(0,5)=65,(2,4)=65,(3,4)=65,(0,1)=77,(0,4)=78,(6,7)=78,(2,7)=84,(5,6)=88,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 6, 7: 7}, Find(4)=4, Find(5)=1, Add (4,5)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 2, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=15 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 2, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=15 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 2, 7: 0}, Find(2)=2, Find(5)=1, Add (2,5)=17 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=18 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=19 Failed, w=85\",\"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)=29 Failed, w=85\",\"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)=30 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=33 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=37 Failed, w=85\",\"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)=39 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=85\",\"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)=62 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=85\",\"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)=65 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=85\",\"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)=65 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=78 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=84 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=85\",\"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=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,10],[0,2,14],[2,3,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,14],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,14],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,14],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (0,2)=14, w=24\",\"Add (2,3)=97, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,14],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (0,2)=14 Succeeded, w=24\",\"Add (2,3)=97 Succeeded, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,14],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(0,2)=14,(2,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=24\",\"Find(2)=0, Find(3)=3, Add (2,3)=97 Succeeded, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[0,2,14],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(0,2)=14,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=97 Succeeded, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,85],[0,2,39],[1,2,84],[1,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,39],[1,2,84],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,39],[1,2,84],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,39],[1,2,84],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (0,2)=39, w=49\",\"Add (1,2)=84, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,39],[1,2,84],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (0,2)=39 Succeeded, w=49\",\"Add (1,2)=84 Succeeded, w=133\",\"Add (0,1)=85 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,39],[1,2,84],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,2)=39,(1,2)=84,(0,1)=85]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=49\",\"Find(1)=1, Find(2)=0, Add (1,2)=84 Succeeded, w=133\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,39],[1,2,84],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,2)=39,(1,2)=84,(0,1)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=84 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,95],[0,3,75],[0,4,35],[0,5,21],[0,6,12],[0,7,97],[1,4,79],[1,6,11],[2,3,52],[2,5,9],[2,7,89],[3,4,46],[3,5,26],[3,6,38],[3,7,40],[4,6,99],[4,7,59],[5,6,84],[6,7,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,75],[0,4,35],[0,5,21],[0,6,12],[0,7,97],[1,4,79],[1,6,11],[2,3,52],[2,5,9],[2,7,89],[3,4,46],[3,5,26],[3,6,38],[3,7,40],[4,6,99],[4,7,59],[5,6,84],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,75],[0,4,35],[0,5,21],[0,6,12],[0,7,97],[1,4,79],[1,6,11],[2,3,52],[2,5,9],[2,7,89],[3,4,46],[3,5,26],[3,6,38],[3,7,40],[4,6,99],[4,7,59],[5,6,84],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (3,7)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,75],[0,4,35],[0,5,21],[0,6,12],[0,7,97],[1,4,79],[1,6,11],[2,3,52],[2,5,9],[2,7,89],[3,4,46],[3,5,26],[3,6,38],[3,7,40],[4,6,99],[4,7,59],[5,6,84],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=9, w=9\",\"Add (1,6)=11, w=20\",\"Add (0,6)=12, w=32\",\"Add (0,5)=21, w=53\",\"Add (3,5)=26, w=79\",\"Add (0,4)=35, w=114\",\"Add (3,7)=40, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,75],[0,4,35],[0,5,21],[0,6,12],[0,7,97],[1,4,79],[1,6,11],[2,3,52],[2,5,9],[2,7,89],[3,4,46],[3,5,26],[3,6,38],[3,7,40],[4,6,99],[4,7,59],[5,6,84],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=9 Succeeded, w=9\",\"Add (1,6)=11 Succeeded, w=20\",\"Add (0,6)=12 Succeeded, w=32\",\"Add (0,5)=21 Succeeded, w=53\",\"Add (3,5)=26 Succeeded, w=79\",\"Add (0,4)=35 Succeeded, w=114\",\"Add (3,6)=38 Failed, w=114\",\"Add (3,7)=40 Succeeded, w=154\",\"Add (3,4)=46 Failed, w=154\",\"Add (2,3)=52 Failed, w=154\",\"Add (6,7)=54 Failed, w=154\",\"Add (4,7)=59 Failed, w=154\",\"Add (0,3)=75 Failed, w=154\",\"Add (1,4)=79 Failed, w=154\",\"Add (5,6)=84 Failed, w=154\",\"Add (2,7)=89 Failed, w=154\",\"Add (0,2)=95 Failed, w=154\",\"Add (0,7)=97 Failed, w=154\",\"Add (4,6)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,75],[0,4,35],[0,5,21],[0,6,12],[0,7,97],[1,4,79],[1,6,11],[2,3,52],[2,5,9],[2,7,89],[3,4,46],[3,5,26],[3,6,38],[3,7,40],[4,6,99],[4,7,59],[5,6,84],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=9,(1,6)=11,(0,6)=12,(0,5)=21,(3,5)=26,(0,4)=35,(3,6)=38,(3,7)=40,(3,4)=46,(2,3)=52,(6,7)=54,(4,7)=59,(0,3)=75,(1,4)=79,(5,6)=84,(2,7)=89,(0,2)=95,(0,7)=97,(4,6)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=20\",\"Find(0)=0, Find(6)=1, Add (0,6)=12 Succeeded, w=32\",\"Find(0)=1, Find(5)=2, Add (0,5)=21 Succeeded, w=53\",\"Find(3)=3, Find(5)=1, Add (3,5)=26 Succeeded, w=79\",\"Find(0)=1, Find(4)=4, Add (0,4)=35 Succeeded, w=114\",\"Find(3)=1, Find(6)=1, Add (3,6)=38 Failed, w=114\",\"Find(3)=1, Find(7)=7, Add (3,7)=40 Succeeded, w=154\",\"Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=154\",\"Find(2)=1, Find(3)=1, Add (2,3)=52 Failed, w=154\",\"Find(6)=1, Find(7)=1, Add (6,7)=54 Failed, w=154\",\"Find(4)=1, Find(7)=1, Add (4,7)=59 Failed, w=154\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=154\",\"Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=154\",\"Find(5)=1, Find(6)=1, Add (5,6)=84 Failed, w=154\",\"Find(2)=1, Find(7)=1, Add (2,7)=89 Failed, w=154\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=154\",\"Find(0)=1, Find(7)=1, Add (0,7)=97 Failed, w=154\",\"Find(4)=1, Find(6)=1, Add (4,6)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,3,75],[0,4,35],[0,5,21],[0,6,12],[0,7,97],[1,4,79],[1,6,11],[2,3,52],[2,5,9],[2,7,89],[3,4,46],[3,5,26],[3,6,38],[3,7,40],[4,6,99],[4,7,59],[5,6,84],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=9,(1,6)=11,(0,6)=12,(0,5)=21,(3,5)=26,(0,4)=35,(3,6)=38,(3,7)=40,(3,4)=46,(2,3)=52,(6,7)=54,(4,7)=59,(0,3)=75,(1,4)=79,(5,6)=84,(2,7)=89,(0,2)=95,(0,7)=97,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=12 Succeeded, w=32\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(0)=1, Find(5)=2, Add (0,5)=21 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(3)=3, Find(5)=1, Add (3,5)=26 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(4)=4, Add (0,4)=35 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(6)=1, Add (3,6)=38 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=40 Succeeded, w=154\",\"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)=46 Failed, w=154\",\"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)=52 Failed, w=154\",\"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)=54 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=59 Failed, w=154\",\"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)=75 Failed, w=154\",\"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)=79 Failed, w=154\",\"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)=84 Failed, w=154\",\"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)=89 Failed, w=154\",\"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)=95 Failed, w=154\",\"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)=97 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,28],[0,3,43],[1,2,88],[1,3,97],[2,3,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,43],[1,2,88],[1,3,97],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,43],[1,2,88],[1,3,97],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,43],[1,2,88],[1,3,97],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=28, w=28\",\"Add (2,3)=35, w=63\",\"Add (1,2)=88, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,43],[1,2,88],[1,3,97],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=28 Succeeded, w=28\",\"Add (2,3)=35 Succeeded, w=63\",\"Add (0,3)=43 Failed, w=63\",\"Add (1,2)=88 Succeeded, w=151\",\"Add (1,3)=97 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,43],[1,2,88],[1,3,97],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=28,(2,3)=35,(0,3)=43,(1,2)=88,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=28\",\"Find(2)=0, Find(3)=3, Add (2,3)=35 Succeeded, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=63\",\"Find(1)=1, Find(2)=0, Add (1,2)=88 Succeeded, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,28],[0,3,43],[1,2,88],[1,3,97],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=28,(2,3)=35,(0,3)=43,(1,2)=88,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=35 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=88 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[0,2,35],[1,2,29],[1,3,60],[2,3,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,29],[1,3,60],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,29],[1,3,60],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,29],[1,3,60],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=29, w=29\",\"Add (0,2)=35, w=64\",\"Add (2,3)=42, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,29],[1,3,60],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=29 Succeeded, w=29\",\"Add (0,2)=35 Succeeded, w=64\",\"Add (2,3)=42 Succeeded, w=106\",\"Add (1,3)=60 Failed, w=106\",\"Add (0,1)=67 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,29],[1,3,60],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=29,(0,2)=35,(2,3)=42,(1,3)=60,(0,1)=67]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=29\",\"Find(0)=0, Find(2)=1, Add (0,2)=35 Succeeded, w=64\",\"Find(2)=1, Find(3)=3, Add (2,3)=42 Succeeded, w=106\",\"Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=106\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,29],[1,3,60],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=29,(0,2)=35,(2,3)=42,(1,3)=60,(0,1)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=35 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=42 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=60 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,45],[0,3,50],[1,3,69],[1,4,17],[2,3,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,50],[1,3,69],[1,4,17],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,50],[1,3,69],[1,4,17],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,50],[1,3,69],[1,4,17],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=17, w=17\",\"Add (0,1)=45, w=62\",\"Add (0,3)=50, w=112\",\"Add (2,3)=98, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,50],[1,3,69],[1,4,17],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=17 Succeeded, w=17\",\"Add (0,1)=45 Succeeded, w=62\",\"Add (0,3)=50 Succeeded, w=112\",\"Add (1,3)=69 Failed, w=112\",\"Add (2,3)=98 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,50],[1,3,69],[1,4,17],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=17,(0,1)=45,(0,3)=50,(1,3)=69,(2,3)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=62\",\"Find(0)=1, Find(3)=3, Add (0,3)=50 Succeeded, w=112\",\"Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=112\",\"Find(2)=2, Find(3)=1, Add (2,3)=98 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,3,50],[1,3,69],[1,4,17],[2,3,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=17,(0,1)=45,(0,3)=50,(1,3)=69,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=50 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=98 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,2,94],[0,4,83],[0,5,30],[1,2,90],[1,3,83],[1,4,55],[1,5,46],[2,3,85],[2,4,64],[2,5,78],[3,4,56],[3,5,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,94],[0,4,83],[0,5,30],[1,2,90],[1,3,83],[1,4,55],[1,5,46],[2,3,85],[2,4,64],[2,5,78],[3,4,56],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,94],[0,4,83],[0,5,30],[1,2,90],[1,3,83],[1,4,55],[1,5,46],[2,3,85],[2,4,64],[2,5,78],[3,4,56],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,94],[0,4,83],[0,5,30],[1,2,90],[1,3,83],[1,4,55],[1,5,46],[2,3,85],[2,4,64],[2,5,78],[3,4,56],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=30, w=30\",\"Add (1,5)=46, w=76\",\"Add (1,4)=55, w=131\",\"Add (3,4)=56, w=187\",\"Add (2,4)=64, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,94],[0,4,83],[0,5,30],[1,2,90],[1,3,83],[1,4,55],[1,5,46],[2,3,85],[2,4,64],[2,5,78],[3,4,56],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=30 Succeeded, w=30\",\"Add (1,5)=46 Succeeded, w=76\",\"Add (0,1)=50 Failed, w=76\",\"Add (1,4)=55 Succeeded, w=131\",\"Add (3,4)=56 Succeeded, w=187\",\"Add (2,4)=64 Succeeded, w=251\",\"Add (2,5)=78 Failed, w=251\",\"Add (0,4)=83 Failed, w=251\",\"Add (1,3)=83 Failed, w=251\",\"Add (2,3)=85 Failed, w=251\",\"Add (1,2)=90 Failed, w=251\",\"Add (0,2)=94 Failed, w=251\",\"Add (3,5)=99 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,94],[0,4,83],[0,5,30],[1,2,90],[1,3,83],[1,4,55],[1,5,46],[2,3,85],[2,4,64],[2,5,78],[3,4,56],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=30,(1,5)=46,(0,1)=50,(1,4)=55,(3,4)=56,(2,4)=64,(2,5)=78,(0,4)=83,(1,3)=83,(2,3)=85,(1,2)=90,(0,2)=94,(3,5)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=30\",\"Find(1)=1, Find(5)=0, Add (1,5)=46 Succeeded, w=76\",\"Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=76\",\"Find(1)=0, Find(4)=4, Add (1,4)=55 Succeeded, w=131\",\"Find(3)=3, Find(4)=0, Add (3,4)=56 Succeeded, w=187\",\"Find(2)=2, Find(4)=0, Add (2,4)=64 Succeeded, w=251\",\"Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=251\",\"Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=251\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=251\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=251\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=251\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=251\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,94],[0,4,83],[0,5,30],[1,2,90],[1,3,83],[1,4,55],[1,5,46],[2,3,85],[2,4,64],[2,5,78],[3,4,56],[3,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=30,(1,5)=46,(0,1)=50,(1,4)=55,(3,4)=56,(2,4)=64,(2,5)=78,(0,4)=83,(1,3)=83,(2,3)=85,(1,2)=90,(0,2)=94,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=46 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=55 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=56 Succeeded, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=64 Succeeded, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=251\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,51],[0,3,82],[1,3,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,82],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,82],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,82],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=51, w=51\",\"Add (1,3)=76, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,82],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=51 Succeeded, w=51\",\"Add (1,3)=76 Succeeded, w=127\",\"Add (0,3)=82 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,82],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=51,(1,3)=76,(0,3)=82]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=51\",\"Find(1)=0, Find(3)=3, Add (1,3)=76 Succeeded, w=127\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,82],[1,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=51,(1,3)=76,(0,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=76 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,32],[0,2,57],[0,3,41],[0,4,88],[0,5,49],[1,2,58],[1,3,25],[1,4,9],[1,5,95],[2,3,64],[2,4,28],[2,5,79],[3,4,85],[3,5,23],[4,5,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,57],[0,3,41],[0,4,88],[0,5,49],[1,2,58],[1,3,25],[1,4,9],[1,5,95],[2,3,64],[2,4,28],[2,5,79],[3,4,85],[3,5,23],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,57],[0,3,41],[0,4,88],[0,5,49],[1,2,58],[1,3,25],[1,4,9],[1,5,95],[2,3,64],[2,4,28],[2,5,79],[3,4,85],[3,5,23],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,57],[0,3,41],[0,4,88],[0,5,49],[1,2,58],[1,3,25],[1,4,9],[1,5,95],[2,3,64],[2,4,28],[2,5,79],[3,4,85],[3,5,23],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=9, w=9\",\"Add (3,5)=23, w=32\",\"Add (1,3)=25, w=57\",\"Add (2,4)=28, w=85\",\"Add (0,1)=32, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,57],[0,3,41],[0,4,88],[0,5,49],[1,2,58],[1,3,25],[1,4,9],[1,5,95],[2,3,64],[2,4,28],[2,5,79],[3,4,85],[3,5,23],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=9 Succeeded, w=9\",\"Add (3,5)=23 Succeeded, w=32\",\"Add (1,3)=25 Succeeded, w=57\",\"Add (2,4)=28 Succeeded, w=85\",\"Add (0,1)=32 Succeeded, w=117\",\"Add (0,3)=41 Failed, w=117\",\"Add (0,5)=49 Failed, w=117\",\"Add (4,5)=52 Failed, w=117\",\"Add (0,2)=57 Failed, w=117\",\"Add (1,2)=58 Failed, w=117\",\"Add (2,3)=64 Failed, w=117\",\"Add (2,5)=79 Failed, w=117\",\"Add (3,4)=85 Failed, w=117\",\"Add (0,4)=88 Failed, w=117\",\"Add (1,5)=95 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,57],[0,3,41],[0,4,88],[0,5,49],[1,2,58],[1,3,25],[1,4,9],[1,5,95],[2,3,64],[2,4,28],[2,5,79],[3,4,85],[3,5,23],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=9,(3,5)=23,(1,3)=25,(2,4)=28,(0,1)=32,(0,3)=41,(0,5)=49,(4,5)=52,(0,2)=57,(1,2)=58,(2,3)=64,(2,5)=79,(3,4)=85,(0,4)=88,(1,5)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=32\",\"Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=57\",\"Find(2)=2, Find(4)=1, Add (2,4)=28 Succeeded, w=85\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=117\",\"Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=117\",\"Find(0)=1, Find(5)=1, Add (0,5)=49 Failed, w=117\",\"Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=117\",\"Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=117\",\"Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=117\",\"Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=117\",\"Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=117\",\"Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=117\",\"Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=117\",\"Find(1)=1, Find(5)=1, Add (1,5)=95 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,32],[0,2,57],[0,3,41],[0,4,88],[0,5,49],[1,2,58],[1,3,25],[1,4,9],[1,5,95],[2,3,64],[2,4,28],[2,5,79],[3,4,85],[3,5,23],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=9,(3,5)=23,(1,3)=25,(2,4)=28,(0,1)=32,(0,3)=41,(0,5)=49,(4,5)=52,(0,2)=57,(1,2)=58,(2,3)=64,(2,5)=79,(3,4)=85,(0,4)=88,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(2)=2, Find(4)=1, Add (2,4)=28 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=49 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=58 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=95 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,10],[0,3,47],[0,4,79],[0,6,87],[0,7,25],[1,4,91],[1,5,14],[1,6,64],[2,4,25],[2,5,85],[2,6,15],[2,7,4],[3,4,75],[3,5,79],[3,6,39],[3,7,11],[4,5,28],[4,6,62],[4,7,49],[5,6,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,3,47],[0,4,79],[0,6,87],[0,7,25],[1,4,91],[1,5,14],[1,6,64],[2,4,25],[2,5,85],[2,6,15],[2,7,4],[3,4,75],[3,5,79],[3,6,39],[3,7,11],[4,5,28],[4,6,62],[4,7,49],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,3,47],[0,4,79],[0,6,87],[0,7,25],[1,4,91],[1,5,14],[1,6,64],[2,4,25],[2,5,85],[2,6,15],[2,7,4],[3,4,75],[3,5,79],[3,6,39],[3,7,11],[4,5,28],[4,6,62],[4,7,49],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (3,7)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (2,4)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,3,47],[0,4,79],[0,6,87],[0,7,25],[1,4,91],[1,5,14],[1,6,64],[2,4,25],[2,5,85],[2,6,15],[2,7,4],[3,4,75],[3,5,79],[3,6,39],[3,7,11],[4,5,28],[4,6,62],[4,7,49],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=4, w=4\",\"Add (5,6)=4, w=8\",\"Add (0,2)=10, w=18\",\"Add (3,7)=11, w=29\",\"Add (1,5)=14, w=43\",\"Add (2,6)=15, w=58\",\"Add (2,4)=25, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,3,47],[0,4,79],[0,6,87],[0,7,25],[1,4,91],[1,5,14],[1,6,64],[2,4,25],[2,5,85],[2,6,15],[2,7,4],[3,4,75],[3,5,79],[3,6,39],[3,7,11],[4,5,28],[4,6,62],[4,7,49],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=4 Succeeded, w=4\",\"Add (5,6)=4 Succeeded, w=8\",\"Add (0,2)=10 Succeeded, w=18\",\"Add (3,7)=11 Succeeded, w=29\",\"Add (1,5)=14 Succeeded, w=43\",\"Add (2,6)=15 Succeeded, w=58\",\"Add (0,7)=25 Failed, w=58\",\"Add (2,4)=25 Succeeded, w=83\",\"Add (4,5)=28 Failed, w=83\",\"Add (3,6)=39 Failed, w=83\",\"Add (0,3)=47 Failed, w=83\",\"Add (4,7)=49 Failed, w=83\",\"Add (4,6)=62 Failed, w=83\",\"Add (1,6)=64 Failed, w=83\",\"Add (3,4)=75 Failed, w=83\",\"Add (0,4)=79 Failed, w=83\",\"Add (3,5)=79 Failed, w=83\",\"Add (2,5)=85 Failed, w=83\",\"Add (0,6)=87 Failed, w=83\",\"Add (1,4)=91 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,3,47],[0,4,79],[0,6,87],[0,7,25],[1,4,91],[1,5,14],[1,6,64],[2,4,25],[2,5,85],[2,6,15],[2,7,4],[3,4,75],[3,5,79],[3,6,39],[3,7,11],[4,5,28],[4,6,62],[4,7,49],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=4,(5,6)=4,(0,2)=10,(3,7)=11,(1,5)=14,(2,6)=15,(0,7)=25,(2,4)=25,(4,5)=28,(3,6)=39,(0,3)=47,(4,7)=49,(4,6)=62,(1,6)=64,(3,4)=75,(0,4)=79,(3,5)=79,(2,5)=85,(0,6)=87,(1,4)=91]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=4\",\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=18\",\"Find(3)=3, Find(7)=2, Add (3,7)=11 Succeeded, w=29\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=43\",\"Find(2)=2, Find(6)=5, Add (2,6)=15 Succeeded, w=58\",\"Find(0)=2, Find(7)=2, Add (0,7)=25 Failed, w=58\",\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=83\",\"Find(4)=2, Find(5)=2, Add (4,5)=28 Failed, w=83\",\"Find(3)=2, Find(6)=2, Add (3,6)=39 Failed, w=83\",\"Find(0)=2, Find(3)=2, Add (0,3)=47 Failed, w=83\",\"Find(4)=2, Find(7)=2, Add (4,7)=49 Failed, w=83\",\"Find(4)=2, Find(6)=2, Add (4,6)=62 Failed, w=83\",\"Find(1)=2, Find(6)=2, Add (1,6)=64 Failed, w=83\",\"Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=83\",\"Find(0)=2, Find(4)=2, Add (0,4)=79 Failed, w=83\",\"Find(3)=2, Find(5)=2, Add (3,5)=79 Failed, w=83\",\"Find(2)=2, Find(5)=2, Add (2,5)=85 Failed, w=83\",\"Find(0)=2, Find(6)=2, Add (0,6)=87 Failed, w=83\",\"Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,3,47],[0,4,79],[0,6,87],[0,7,25],[1,4,91],[1,5,14],[1,6,64],[2,4,25],[2,5,85],[2,6,15],[2,7,4],[3,4,75],[3,5,79],[3,6,39],[3,7,11],[4,5,28],[4,6,62],[4,7,49],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=4,(5,6)=4,(0,2)=10,(3,7)=11,(1,5)=14,(2,6)=15,(0,7)=25,(2,4)=25,(4,5)=28,(3,6)=39,(0,3)=47,(4,7)=49,(4,6)=62,(1,6)=64,(3,4)=75,(0,4)=79,(3,5)=79,(2,5)=85,(0,6)=87,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=11 Succeeded, w=29\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5, 7: 2}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=43\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 4, 5: 2, 6: 5, 7: 2}, Find(2)=2, Find(6)=5, Add (2,6)=15 Succeeded, w=58\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 4, 5: 2, 6: 5, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=25 Failed, w=58\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=83\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=28 Failed, w=83\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=39 Failed, w=83\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=47 Failed, w=83\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=49 Failed, w=83\",\"Parent: {0: 2, 1: 5, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=62 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=64 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=79 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=79 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=85 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=87 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,95],[0,3,45],[2,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,45],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,45],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,45],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=45, w=45\",\"Add (2,3)=58, w=103\",\"Add (0,1)=95, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,45],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=45 Succeeded, w=45\",\"Add (2,3)=58 Succeeded, w=103\",\"Add (0,1)=95 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,45],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=45,(2,3)=58,(0,1)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=45\",\"Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=103\",\"Find(0)=0, Find(1)=1, Add (0,1)=95 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,3,45],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=45,(2,3)=58,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=95 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,100],[1,3,54],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,100],[1,3,54],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,100],[1,3,54],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,100],[1,3,54],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=29, w=29\",\"Add (1,3)=54, w=83\",\"Add (0,3)=100, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,100],[1,3,54],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=29 Succeeded, w=29\",\"Add (1,3)=54 Succeeded, w=83\",\"Add (0,3)=100 Succeeded, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,100],[1,3,54],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=29,(1,3)=54,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Find(1)=1, Find(3)=2, Add (1,3)=54 Succeeded, w=83\",\"Find(0)=0, Find(3)=2, Add (0,3)=100 Succeeded, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,100],[1,3,54],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=29,(1,3)=54,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=54 Succeeded, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=100 Succeeded, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,79],[0,4,93],[0,6,44],[0,7,16],[1,2,30],[1,4,49],[1,5,93],[1,6,90],[2,3,95],[2,4,42],[2,5,99],[2,6,49],[3,4,72],[3,5,93],[3,7,18],[4,5,25],[4,6,72],[4,7,27],[5,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,93],[0,6,44],[0,7,16],[1,2,30],[1,4,49],[1,5,93],[1,6,90],[2,3,95],[2,4,42],[2,5,99],[2,6,49],[3,4,72],[3,5,93],[3,7,18],[4,5,25],[4,6,72],[4,7,27],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,93],[0,6,44],[0,7,16],[1,2,30],[1,4,49],[1,5,93],[1,6,90],[2,3,95],[2,4,42],[2,5,99],[2,6,49],[3,4,72],[3,5,93],[3,7,18],[4,5,25],[4,6,72],[4,7,27],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (3,7)\",\"Add (4,5)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,6)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,93],[0,6,44],[0,7,16],[1,2,30],[1,4,49],[1,5,93],[1,6,90],[2,3,95],[2,4,42],[2,5,99],[2,6,49],[3,4,72],[3,5,93],[3,7,18],[4,5,25],[4,6,72],[4,7,27],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=16, w=16\",\"Add (3,7)=18, w=34\",\"Add (4,5)=25, w=59\",\"Add (4,7)=27, w=86\",\"Add (1,2)=30, w=116\",\"Add (2,4)=42, w=158\",\"Add (0,6)=44, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,93],[0,6,44],[0,7,16],[1,2,30],[1,4,49],[1,5,93],[1,6,90],[2,3,95],[2,4,42],[2,5,99],[2,6,49],[3,4,72],[3,5,93],[3,7,18],[4,5,25],[4,6,72],[4,7,27],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=16 Succeeded, w=16\",\"Add (3,7)=18 Succeeded, w=34\",\"Add (4,5)=25 Succeeded, w=59\",\"Add (4,7)=27 Succeeded, w=86\",\"Add (1,2)=30 Succeeded, w=116\",\"Add (2,4)=42 Succeeded, w=158\",\"Add (0,6)=44 Succeeded, w=202\",\"Add (1,4)=49 Failed, w=202\",\"Add (2,6)=49 Failed, w=202\",\"Add (3,4)=72 Failed, w=202\",\"Add (4,6)=72 Failed, w=202\",\"Add (0,3)=79 Failed, w=202\",\"Add (5,7)=87 Failed, w=202\",\"Add (1,6)=90 Failed, w=202\",\"Add (0,4)=93 Failed, w=202\",\"Add (1,5)=93 Failed, w=202\",\"Add (3,5)=93 Failed, w=202\",\"Add (2,3)=95 Failed, w=202\",\"Add (2,5)=99 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,93],[0,6,44],[0,7,16],[1,2,30],[1,4,49],[1,5,93],[1,6,90],[2,3,95],[2,4,42],[2,5,99],[2,6,49],[3,4,72],[3,5,93],[3,7,18],[4,5,25],[4,6,72],[4,7,27],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=16,(3,7)=18,(4,5)=25,(4,7)=27,(1,2)=30,(2,4)=42,(0,6)=44,(1,4)=49,(2,6)=49,(3,4)=72,(4,6)=72,(0,3)=79,(5,7)=87,(1,6)=90,(0,4)=93,(1,5)=93,(3,5)=93,(2,3)=95,(2,5)=99]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=16\",\"Find(3)=3, Find(7)=0, Add (3,7)=18 Succeeded, w=34\",\"Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=59\",\"Find(4)=4, Find(7)=0, Add (4,7)=27 Succeeded, w=86\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=116\",\"Find(2)=1, Find(4)=4, Add (2,4)=42 Succeeded, w=158\",\"Find(0)=4, Find(6)=6, Add (0,6)=44 Succeeded, w=202\",\"Find(1)=4, Find(4)=4, Add (1,4)=49 Failed, w=202\",\"Find(2)=4, Find(6)=4, Add (2,6)=49 Failed, w=202\",\"Find(3)=4, Find(4)=4, Add (3,4)=72 Failed, w=202\",\"Find(4)=4, Find(6)=4, Add (4,6)=72 Failed, w=202\",\"Find(0)=4, Find(3)=4, Add (0,3)=79 Failed, w=202\",\"Find(5)=4, Find(7)=4, Add (5,7)=87 Failed, w=202\",\"Find(1)=4, Find(6)=4, Add (1,6)=90 Failed, w=202\",\"Find(0)=4, Find(4)=4, Add (0,4)=93 Failed, w=202\",\"Find(1)=4, Find(5)=4, Add (1,5)=93 Failed, w=202\",\"Find(3)=4, Find(5)=4, Add (3,5)=93 Failed, w=202\",\"Find(2)=4, Find(3)=4, Add (2,3)=95 Failed, w=202\",\"Find(2)=4, Find(5)=4, Add (2,5)=99 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,79],[0,4,93],[0,6,44],[0,7,16],[1,2,30],[1,4,49],[1,5,93],[1,6,90],[2,3,95],[2,4,42],[2,5,99],[2,6,49],[3,4,72],[3,5,93],[3,7,18],[4,5,25],[4,6,72],[4,7,27],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=16,(3,7)=18,(4,5)=25,(4,7)=27,(1,2)=30,(2,4)=42,(0,6)=44,(1,4)=49,(2,6)=49,(3,4)=72,(4,6)=72,(0,3)=79,(5,7)=87,(1,6)=90,(0,4)=93,(1,5)=93,(3,5)=93,(2,3)=95,(2,5)=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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 0}, Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=59\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=27 Succeeded, w=86\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4, 6: 6, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=116\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 0, 4: 4, 5: 4, 6: 6, 7: 0}, Find(2)=1, Find(4)=4, Add (2,4)=42 Succeeded, w=158\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(0)=4, Find(6)=6, Add (0,6)=44 Succeeded, w=202\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(1)=4, Find(4)=4, Add (1,4)=49 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(2)=4, Find(6)=4, Add (2,6)=49 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(3)=4, Find(4)=4, Add (3,4)=72 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(4)=4, Find(6)=4, Add (4,6)=72 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(0)=4, Find(3)=4, Add (0,3)=79 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=87 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=90 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=93 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=93 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=93 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=95 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=99 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,64],[0,2,30],[1,2,78],[2,3,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,30],[1,2,78],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,30],[1,2,78],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,30],[1,2,78],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,2)=30, w=31\",\"Add (0,1)=64, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,30],[1,2,78],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,2)=30 Succeeded, w=31\",\"Add (0,1)=64 Succeeded, w=95\",\"Add (1,2)=78 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,30],[1,2,78],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=30,(0,1)=64,(1,2)=78]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=31\",\"Find(0)=2, Find(1)=1, Add (0,1)=64 Succeeded, w=95\",\"Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,30],[1,2,78],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=30,(0,1)=64,(1,2)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=64 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,68],[1,3,71],[2,3,63],[3,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,3,71],[2,3,63],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,3,71],[2,3,63],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,3,71],[2,3,63],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (2,3)=63, w=69\",\"Add (0,4)=68, w=137\",\"Add (1,3)=71, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,3,71],[2,3,63],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (2,3)=63 Succeeded, w=69\",\"Add (0,4)=68 Succeeded, w=137\",\"Add (1,3)=71 Succeeded, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,3,71],[2,3,63],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(2,3)=63,(0,4)=68,(1,3)=71]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=63 Succeeded, w=69\",\"Find(0)=0, Find(4)=3, Add (0,4)=68 Succeeded, w=137\",\"Find(1)=1, Find(3)=3, Add (1,3)=71 Succeeded, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,3,71],[2,3,63],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(2,3)=63,(0,4)=68,(1,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=63 Succeeded, w=69\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=68 Succeeded, w=137\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=71 Succeeded, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,65],[0,4,93],[0,5,60],[1,3,18],[1,4,60],[2,3,63],[2,5,75],[3,5,14],[4,5,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,65],[0,4,93],[0,5,60],[1,3,18],[1,4,60],[2,3,63],[2,5,75],[3,5,14],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,65],[0,4,93],[0,5,60],[1,3,18],[1,4,60],[2,3,63],[2,5,75],[3,5,14],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,65],[0,4,93],[0,5,60],[1,3,18],[1,4,60],[2,3,63],[2,5,75],[3,5,14],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=14, w=14\",\"Add (1,3)=18, w=32\",\"Add (0,5)=60, w=92\",\"Add (1,4)=60, w=152\",\"Add (2,3)=63, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,65],[0,4,93],[0,5,60],[1,3,18],[1,4,60],[2,3,63],[2,5,75],[3,5,14],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=14 Succeeded, w=14\",\"Add (1,3)=18 Succeeded, w=32\",\"Add (0,5)=60 Succeeded, w=92\",\"Add (1,4)=60 Succeeded, w=152\",\"Add (2,3)=63 Succeeded, w=215\",\"Add (0,3)=65 Failed, w=215\",\"Add (2,5)=75 Failed, w=215\",\"Add (4,5)=91 Failed, w=215\",\"Add (0,4)=93 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,65],[0,4,93],[0,5,60],[1,3,18],[1,4,60],[2,3,63],[2,5,75],[3,5,14],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=14,(1,3)=18,(0,5)=60,(1,4)=60,(2,3)=63,(0,3)=65,(2,5)=75,(4,5)=91,(0,4)=93]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=32\",\"Find(0)=0, Find(5)=3, Add (0,5)=60 Succeeded, w=92\",\"Find(1)=3, Find(4)=4, Add (1,4)=60 Succeeded, w=152\",\"Find(2)=2, Find(3)=3, Add (2,3)=63 Succeeded, w=215\",\"Find(0)=3, Find(3)=3, Add (0,3)=65 Failed, w=215\",\"Find(2)=3, Find(5)=3, Add (2,5)=75 Failed, w=215\",\"Find(4)=3, Find(5)=3, Add (4,5)=91 Failed, w=215\",\"Find(0)=3, Find(4)=3, Add (0,4)=93 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,65],[0,4,93],[0,5,60],[1,3,18],[1,4,60],[2,3,63],[2,5,75],[3,5,14],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=14,(1,3)=18,(0,5)=60,(1,4)=60,(2,3)=63,(0,3)=65,(2,5)=75,(4,5)=91,(0,4)=93]\",\"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: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=32\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=60 Succeeded, w=92\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=4, Add (1,4)=60 Succeeded, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=63 Succeeded, w=215\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=65 Failed, w=215\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=75 Failed, w=215\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=91 Failed, w=215\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=93 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,43],[0,3,70],[1,2,47],[2,3,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,70],[1,2,47],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,70],[1,2,47],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,70],[1,2,47],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (0,1)=43, w=43\",\"Add (1,2)=47, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,70],[1,2,47],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (0,1)=43 Succeeded, w=43\",\"Add (1,2)=47 Succeeded, w=90\",\"Add (0,3)=70 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,70],[1,2,47],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,1)=43,(1,2)=47,(0,3)=70]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=43\",\"Find(1)=0, Find(2)=2, Add (1,2)=47 Succeeded, w=90\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,3,70],[1,2,47],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,1)=43,(1,2)=47,(0,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=47 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,24],[0,2,83],[0,3,1],[0,4,65],[0,5,39],[1,3,21],[1,4,21],[1,5,94],[2,5,100],[3,4,30],[3,5,61],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,83],[0,3,1],[0,4,65],[0,5,39],[1,3,21],[1,4,21],[1,5,94],[2,5,100],[3,4,30],[3,5,61],[4,5,31]]}",
"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],\"edges\":[[0,1,24],[0,2,83],[0,3,1],[0,4,65],[0,5,39],[1,3,21],[1,4,21],[1,5,94],[2,5,100],[3,4,30],[3,5,61],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,83],[0,3,1],[0,4,65],[0,5,39],[1,3,21],[1,4,21],[1,5,94],[2,5,100],[3,4,30],[3,5,61],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (1,3)=21, w=22\",\"Add (1,4)=21, w=43\",\"Add (4,5)=31, w=74\",\"Add (0,2)=83, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,83],[0,3,1],[0,4,65],[0,5,39],[1,3,21],[1,4,21],[1,5,94],[2,5,100],[3,4,30],[3,5,61],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,3)=21 Succeeded, w=22\",\"Add (1,4)=21 Succeeded, w=43\",\"Add (0,1)=24 Failed, w=43\",\"Add (3,4)=30 Failed, w=43\",\"Add (4,5)=31 Succeeded, w=74\",\"Add (0,5)=39 Failed, w=74\",\"Add (3,5)=61 Failed, w=74\",\"Add (0,4)=65 Failed, w=74\",\"Add (0,2)=83 Succeeded, w=157\",\"Add (1,5)=94 Failed, w=157\",\"Add (2,5)=100 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],\"edges\":[[0,1,24],[0,2,83],[0,3,1],[0,4,65],[0,5,39],[1,3,21],[1,4,21],[1,5,94],[2,5,100],[3,4,30],[3,5,61],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=21,(1,4)=21,(0,1)=24,(3,4)=30,(4,5)=31,(0,5)=39,(3,5)=61,(0,4)=65,(0,2)=83,(1,5)=94,(2,5)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=22\",\"Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=43\",\"Find(0)=0, Find(1)=0, Add (0,1)=24 Failed, w=43\",\"Find(3)=0, Find(4)=0, Add (3,4)=30 Failed, w=43\",\"Find(4)=0, Find(5)=5, Add (4,5)=31 Succeeded, w=74\",\"Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=74\",\"Find(0)=0, Find(2)=2, Add (0,2)=83 Succeeded, w=157\",\"Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=157\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 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],\"edges\":[[0,1,24],[0,2,83],[0,3,1],[0,4,65],[0,5,39],[1,3,21],[1,4,21],[1,5,94],[2,5,100],[3,4,30],[3,5,61],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=21,(1,4)=21,(0,1)=24,(3,4)=30,(4,5)=31,(0,5)=39,(3,5)=61,(0,4)=65,(0,2)=83,(1,5)=94,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(1)=0, Add (0,1)=24 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=0, Add (3,4)=30 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=31 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=83 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=94 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[]\",\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[]\",\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,11],[0,2,52],[0,3,66],[0,4,70],[0,5,39],[0,6,73],[0,7,7],[1,2,49],[1,3,82],[1,5,73],[1,6,19],[1,7,89],[2,4,89],[2,5,81],[2,6,49],[3,7,94],[4,5,37],[4,6,78],[4,7,33],[5,6,15],[5,7,96],[6,7,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,52],[0,3,66],[0,4,70],[0,5,39],[0,6,73],[0,7,7],[1,2,49],[1,3,82],[1,5,73],[1,6,19],[1,7,89],[2,4,89],[2,5,81],[2,6,49],[3,7,94],[4,5,37],[4,6,78],[4,7,33],[5,6,15],[5,7,96],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,52],[0,3,66],[0,4,70],[0,5,39],[0,6,73],[0,7,7],[1,2,49],[1,3,82],[1,5,73],[1,6,19],[1,7,89],[2,4,89],[2,5,81],[2,6,49],[3,7,94],[4,5,37],[4,6,78],[4,7,33],[5,6,15],[5,7,96],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,52],[0,3,66],[0,4,70],[0,5,39],[0,6,73],[0,7,7],[1,2,49],[1,3,82],[1,5,73],[1,6,19],[1,7,89],[2,4,89],[2,5,81],[2,6,49],[3,7,94],[4,5,37],[4,6,78],[4,7,33],[5,6,15],[5,7,96],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=7, w=7\",\"Add (0,1)=11, w=18\",\"Add (5,6)=15, w=33\",\"Add (1,6)=19, w=52\",\"Add (4,7)=33, w=85\",\"Add (1,2)=49, w=134\",\"Add (0,3)=66, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,52],[0,3,66],[0,4,70],[0,5,39],[0,6,73],[0,7,7],[1,2,49],[1,3,82],[1,5,73],[1,6,19],[1,7,89],[2,4,89],[2,5,81],[2,6,49],[3,7,94],[4,5,37],[4,6,78],[4,7,33],[5,6,15],[5,7,96],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=7 Succeeded, w=7\",\"Add (0,1)=11 Succeeded, w=18\",\"Add (5,6)=15 Succeeded, w=33\",\"Add (1,6)=19 Succeeded, w=52\",\"Add (4,7)=33 Succeeded, w=85\",\"Add (4,5)=37 Failed, w=85\",\"Add (0,5)=39 Failed, w=85\",\"Add (1,2)=49 Succeeded, w=134\",\"Add (2,6)=49 Failed, w=134\",\"Add (6,7)=51 Failed, w=134\",\"Add (0,2)=52 Failed, w=134\",\"Add (0,3)=66 Succeeded, w=200\",\"Add (0,4)=70 Failed, w=200\",\"Add (0,6)=73 Failed, w=200\",\"Add (1,5)=73 Failed, w=200\",\"Add (4,6)=78 Failed, w=200\",\"Add (2,5)=81 Failed, w=200\",\"Add (1,3)=82 Failed, w=200\",\"Add (1,7)=89 Failed, w=200\",\"Add (2,4)=89 Failed, w=200\",\"Add (3,7)=94 Failed, w=200\",\"Add (5,7)=96 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,52],[0,3,66],[0,4,70],[0,5,39],[0,6,73],[0,7,7],[1,2,49],[1,3,82],[1,5,73],[1,6,19],[1,7,89],[2,4,89],[2,5,81],[2,6,49],[3,7,94],[4,5,37],[4,6,78],[4,7,33],[5,6,15],[5,7,96],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=7,(0,1)=11,(5,6)=15,(1,6)=19,(4,7)=33,(4,5)=37,(0,5)=39,(1,2)=49,(2,6)=49,(6,7)=51,(0,2)=52,(0,3)=66,(0,4)=70,(0,6)=73,(1,5)=73,(4,6)=78,(2,5)=81,(1,3)=82,(1,7)=89,(2,4)=89,(3,7)=94,(5,7)=96]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=18\",\"Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=33\",\"Find(1)=0, Find(6)=5, Add (1,6)=19 Succeeded, w=52\",\"Find(4)=4, Find(7)=0, Add (4,7)=33 Succeeded, w=85\",\"Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=85\",\"Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=85\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=134\",\"Find(2)=0, Find(6)=0, Add (2,6)=49 Failed, w=134\",\"Find(6)=0, Find(7)=0, Add (6,7)=51 Failed, w=134\",\"Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=134\",\"Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=200\",\"Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=200\",\"Find(0)=0, Find(6)=0, Add (0,6)=73 Failed, w=200\",\"Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=200\",\"Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=200\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=200\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=200\",\"Find(1)=0, Find(7)=0, Add (1,7)=89 Failed, w=200\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=200\",\"Find(3)=0, Find(7)=0, Add (3,7)=94 Failed, w=200\",\"Find(5)=0, Find(7)=0, Add (5,7)=96 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,52],[0,3,66],[0,4,70],[0,5,39],[0,6,73],[0,7,7],[1,2,49],[1,3,82],[1,5,73],[1,6,19],[1,7,89],[2,4,89],[2,5,81],[2,6,49],[3,7,94],[4,5,37],[4,6,78],[4,7,33],[5,6,15],[5,7,96],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=7,(0,1)=11,(5,6)=15,(1,6)=19,(4,7)=33,(4,5)=37,(0,5)=39,(1,2)=49,(2,6)=49,(6,7)=51,(0,2)=52,(0,3)=66,(0,4)=70,(0,6)=73,(1,5)=73,(4,6)=78,(2,5)=81,(1,3)=82,(1,7)=89,(2,4)=89,(3,7)=94,(5,7)=96]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(6)=5, Add (1,6)=19 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 5, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=33 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 5, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=37 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=49 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=51 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=200\",\"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)=70 Failed, w=200\",\"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)=73 Failed, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=200\",\"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)=78 Failed, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=200\",\"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)=82 Failed, w=200\",\"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)=89 Failed, w=200\",\"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)=89 Failed, w=200\",\"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)=94 Failed, w=200\",\"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)=96 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,45],[0,2,9],[0,3,47],[1,3,45],[1,4,51],[1,5,34],[1,6,59],[2,4,80],[2,5,62],[3,6,20],[4,5,25],[5,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,9],[0,3,47],[1,3,45],[1,4,51],[1,5,34],[1,6,59],[2,4,80],[2,5,62],[3,6,20],[4,5,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,9],[0,3,47],[1,3,45],[1,4,51],[1,5,34],[1,6,59],[2,4,80],[2,5,62],[3,6,20],[4,5,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (0,1)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,9],[0,3,47],[1,3,45],[1,4,51],[1,5,34],[1,6,59],[2,4,80],[2,5,62],[3,6,20],[4,5,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (3,6)=20, w=29\",\"Add (4,5)=25, w=54\",\"Add (1,5)=34, w=88\",\"Add (5,6)=36, w=124\",\"Add (0,1)=45, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,9],[0,3,47],[1,3,45],[1,4,51],[1,5,34],[1,6,59],[2,4,80],[2,5,62],[3,6,20],[4,5,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (3,6)=20 Succeeded, w=29\",\"Add (4,5)=25 Succeeded, w=54\",\"Add (1,5)=34 Succeeded, w=88\",\"Add (5,6)=36 Succeeded, w=124\",\"Add (0,1)=45 Succeeded, w=169\",\"Add (1,3)=45 Failed, w=169\",\"Add (0,3)=47 Failed, w=169\",\"Add (1,4)=51 Failed, w=169\",\"Add (1,6)=59 Failed, w=169\",\"Add (2,5)=62 Failed, w=169\",\"Add (2,4)=80 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,9],[0,3,47],[1,3,45],[1,4,51],[1,5,34],[1,6,59],[2,4,80],[2,5,62],[3,6,20],[4,5,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(3,6)=20,(4,5)=25,(1,5)=34,(5,6)=36,(0,1)=45,(1,3)=45,(0,3)=47,(1,4)=51,(1,6)=59,(2,5)=62,(2,4)=80]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(3)=3, Find(6)=6, Add (3,6)=20 Succeeded, w=29\",\"Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=54\",\"Find(1)=1, Find(5)=4, Add (1,5)=34 Succeeded, w=88\",\"Find(5)=4, Find(6)=3, Add (5,6)=36 Succeeded, w=124\",\"Find(0)=0, Find(1)=4, Add (0,1)=45 Succeeded, w=169\",\"Find(1)=4, Find(3)=4, Add (1,3)=45 Failed, w=169\",\"Find(0)=4, Find(3)=4, Add (0,3)=47 Failed, w=169\",\"Find(1)=4, Find(4)=4, Add (1,4)=51 Failed, w=169\",\"Find(1)=4, Find(6)=4, Add (1,6)=59 Failed, w=169\",\"Find(2)=4, Find(5)=4, Add (2,5)=62 Failed, w=169\",\"Find(2)=4, Find(4)=4, Add (2,4)=80 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,9],[0,3,47],[1,3,45],[1,4,51],[1,5,34],[1,6,59],[2,4,80],[2,5,62],[3,6,20],[4,5,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(3,6)=20,(4,5)=25,(1,5)=34,(5,6)=36,(0,1)=45,(1,3)=45,(0,3)=47,(1,4)=51,(1,6)=59,(2,5)=62,(2,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=20 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 3}, Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=54\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4, 6: 3}, Find(1)=1, Find(5)=4, Add (1,5)=34 Succeeded, w=88\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 3}, Find(5)=4, Find(6)=3, Add (5,6)=36 Succeeded, w=124\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 3}, Find(0)=0, Find(1)=4, Add (0,1)=45 Succeeded, w=169\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 3}, Find(1)=4, Find(3)=4, Add (1,3)=45 Failed, w=169\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 3}, Find(0)=4, Find(3)=4, Add (0,3)=47 Failed, w=169\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 3}, Find(1)=4, Find(4)=4, Add (1,4)=51 Failed, w=169\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=59 Failed, w=169\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=62 Failed, w=169\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=80 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,45],[0,3,76],[0,4,77],[1,3,95],[1,4,94],[1,5,91],[2,3,52],[2,4,19],[2,5,11],[3,4,42],[3,5,95],[4,5,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,45],[0,3,76],[0,4,77],[1,3,95],[1,4,94],[1,5,91],[2,3,52],[2,4,19],[2,5,11],[3,4,42],[3,5,95],[4,5,94]]}",
"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\":[[0,1,90],[0,2,45],[0,3,76],[0,4,77],[1,3,95],[1,4,94],[1,5,91],[2,3,52],[2,4,19],[2,5,11],[3,4,42],[3,5,95],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,45],[0,3,76],[0,4,77],[1,3,95],[1,4,94],[1,5,91],[2,3,52],[2,4,19],[2,5,11],[3,4,42],[3,5,95],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (2,4)=19, w=30\",\"Add (3,4)=42, w=72\",\"Add (0,2)=45, w=117\",\"Add (0,1)=90, 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\":[[0,1,90],[0,2,45],[0,3,76],[0,4,77],[1,3,95],[1,4,94],[1,5,91],[2,3,52],[2,4,19],[2,5,11],[3,4,42],[3,5,95],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (2,4)=19 Succeeded, w=30\",\"Add (3,4)=42 Succeeded, w=72\",\"Add (0,2)=45 Succeeded, w=117\",\"Add (2,3)=52 Failed, w=117\",\"Add (0,3)=76 Failed, w=117\",\"Add (0,4)=77 Failed, w=117\",\"Add (0,1)=90 Succeeded, w=207\",\"Add (1,5)=91 Failed, w=207\",\"Add (1,4)=94 Failed, w=207\",\"Add (4,5)=94 Failed, w=207\",\"Add (1,3)=95 Failed, w=207\",\"Add (3,5)=95 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\":[[0,1,90],[0,2,45],[0,3,76],[0,4,77],[1,3,95],[1,4,94],[1,5,91],[2,3,52],[2,4,19],[2,5,11],[3,4,42],[3,5,95],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(2,4)=19,(3,4)=42,(0,2)=45,(2,3)=52,(0,3)=76,(0,4)=77,(0,1)=90,(1,5)=91,(1,4)=94,(4,5)=94,(1,3)=95,(3,5)=95]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=30\",\"Find(3)=3, Find(4)=2, Add (3,4)=42 Succeeded, w=72\",\"Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=117\",\"Find(2)=2, Find(3)=2, Add (2,3)=52 Failed, w=117\",\"Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=117\",\"Find(0)=2, Find(4)=2, Add (0,4)=77 Failed, w=117\",\"Find(0)=2, Find(1)=1, Add (0,1)=90 Succeeded, w=207\",\"Find(1)=2, Find(5)=2, Add (1,5)=91 Failed, w=207\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=207\",\"Find(4)=2, Find(5)=2, Add (4,5)=94 Failed, w=207\",\"Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=207\",\"Find(3)=2, Find(5)=2, Add (3,5)=95 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\":[[0,1,90],[0,2,45],[0,3,76],[0,4,77],[1,3,95],[1,4,94],[1,5,91],[2,3,52],[2,4,19],[2,5,11],[3,4,42],[3,5,95],[4,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(2,4)=19,(3,4)=42,(0,2)=45,(2,3)=52,(0,3)=76,(0,4)=77,(0,1)=90,(1,5)=91,(1,4)=94,(4,5)=94,(1,3)=95,(3,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=42 Succeeded, w=72\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=117\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=52 Failed, w=117\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=117\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=77 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=90 Succeeded, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=91 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=94 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=207\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=95 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,35],[0,3,83],[1,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,35],[0,3,83],[1,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,35],[0,3,83],[1,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,35],[0,3,83],[1,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=35, w=35\",\"Add (1,4)=55, w=90\",\"Add (0,3)=83, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,35],[0,3,83],[1,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=35 Succeeded, w=35\",\"Add (1,4)=55 Succeeded, w=90\",\"Add (0,3)=83 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,35],[0,3,83],[1,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=35,(1,4)=55,(0,3)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=55 Succeeded, w=90\",\"Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,35],[0,3,83],[1,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=35,(1,4)=55,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=55 Succeeded, w=90\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,66],[0,2,81],[0,7,96],[2,3,85],[2,4,55],[2,5,8],[2,6,8],[3,4,19],[3,6,29],[3,7,78],[4,5,69],[5,6,75],[5,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,81],[0,7,96],[2,3,85],[2,4,55],[2,5,8],[2,6,8],[3,4,19],[3,6,29],[3,7,78],[4,5,69],[5,6,75],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,81],[0,7,96],[2,3,85],[2,4,55],[2,5,8],[2,6,8],[3,4,19],[3,6,29],[3,7,78],[4,5,69],[5,6,75],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (5,7)\",\"Add (0,2)\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,81],[0,7,96],[2,3,85],[2,4,55],[2,5,8],[2,6,8],[3,4,19],[3,6,29],[3,7,78],[4,5,69],[5,6,75],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (2,6)=8, w=16\",\"Add (3,4)=19, w=35\",\"Add (3,6)=29, w=64\",\"Add (0,1)=66, w=130\",\"Add (5,7)=67, w=197\",\"Add (0,2)=81, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,81],[0,7,96],[2,3,85],[2,4,55],[2,5,8],[2,6,8],[3,4,19],[3,6,29],[3,7,78],[4,5,69],[5,6,75],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (2,6)=8 Succeeded, w=16\",\"Add (3,4)=19 Succeeded, w=35\",\"Add (3,6)=29 Succeeded, w=64\",\"Add (2,4)=55 Failed, w=64\",\"Add (0,1)=66 Succeeded, w=130\",\"Add (5,7)=67 Succeeded, w=197\",\"Add (4,5)=69 Failed, w=197\",\"Add (5,6)=75 Failed, w=197\",\"Add (3,7)=78 Failed, w=197\",\"Add (0,2)=81 Succeeded, w=278\",\"Add (2,3)=85 Failed, w=278\",\"Add (0,7)=96 Failed, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,81],[0,7,96],[2,3,85],[2,4,55],[2,5,8],[2,6,8],[3,4,19],[3,6,29],[3,7,78],[4,5,69],[5,6,75],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(2,6)=8,(3,4)=19,(3,6)=29,(2,4)=55,(0,1)=66,(5,7)=67,(4,5)=69,(5,6)=75,(3,7)=78,(0,2)=81,(2,3)=85,(0,7)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=16\",\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=35\",\"Find(3)=3, Find(6)=2, Add (3,6)=29 Succeeded, w=64\",\"Find(2)=3, Find(4)=3, Add (2,4)=55 Failed, w=64\",\"Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=130\",\"Find(5)=3, Find(7)=7, Add (5,7)=67 Succeeded, w=197\",\"Find(4)=3, Find(5)=3, Add (4,5)=69 Failed, w=197\",\"Find(5)=3, Find(6)=3, Add (5,6)=75 Failed, w=197\",\"Find(3)=3, Find(7)=3, Add (3,7)=78 Failed, w=197\",\"Find(0)=0, Find(2)=3, Add (0,2)=81 Succeeded, w=278\",\"Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=278\",\"Find(0)=3, Find(7)=3, Add (0,7)=96 Failed, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,81],[0,7,96],[2,3,85],[2,4,55],[2,5,8],[2,6,8],[3,4,19],[3,6,29],[3,7,78],[4,5,69],[5,6,75],[5,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(2,6)=8,(3,4)=19,(3,6)=29,(2,4)=55,(0,1)=66,(5,7)=67,(4,5)=69,(5,6)=75,(3,7)=78,(0,2)=81,(2,3)=85,(0,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 2, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2, 6: 2, 7: 7}, Find(3)=3, Find(6)=2, Add (3,6)=29 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2, 6: 2, 7: 7}, Find(2)=3, Find(4)=3, Add (2,4)=55 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 2, 6: 2, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(5)=3, Find(7)=7, Add (5,7)=67 Succeeded, w=197\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=69 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=75 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=78 Failed, w=197\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(2)=3, Add (0,2)=81 Succeeded, w=278\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=278\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=96 Failed, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,88],[0,2,75],[0,3,26],[0,4,49],[0,5,9],[0,6,45],[0,7,100],[1,2,27],[1,3,7],[1,4,56],[1,5,66],[1,6,89],[1,7,79],[2,3,23],[2,4,85],[2,5,57],[2,6,75],[2,7,9],[3,4,94],[3,5,28],[3,7,12],[4,5,0],[4,6,37],[4,7,1],[5,6,42],[5,7,45],[6,7,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,75],[0,3,26],[0,4,49],[0,5,9],[0,6,45],[0,7,100],[1,2,27],[1,3,7],[1,4,56],[1,5,66],[1,6,89],[1,7,79],[2,3,23],[2,4,85],[2,5,57],[2,6,75],[2,7,9],[3,4,94],[3,5,28],[3,7,12],[4,5,0],[4,6,37],[4,7,1],[5,6,42],[5,7,45],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,75],[0,3,26],[0,4,49],[0,5,9],[0,6,45],[0,7,100],[1,2,27],[1,3,7],[1,4,56],[1,5,66],[1,6,89],[1,7,79],[2,3,23],[2,4,85],[2,5,57],[2,6,75],[2,7,9],[3,4,94],[3,5,28],[3,7,12],[4,5,0],[4,6,37],[4,7,1],[5,6,42],[5,7,45],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (4,7)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (2,7)\",\"Add (3,7)\",\"Add (6,7)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,75],[0,3,26],[0,4,49],[0,5,9],[0,6,45],[0,7,100],[1,2,27],[1,3,7],[1,4,56],[1,5,66],[1,6,89],[1,7,79],[2,3,23],[2,4,85],[2,5,57],[2,6,75],[2,7,9],[3,4,94],[3,5,28],[3,7,12],[4,5,0],[4,6,37],[4,7,1],[5,6,42],[5,7,45],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (4,7)=1, w=1\",\"Add (1,3)=7, w=8\",\"Add (0,5)=9, w=17\",\"Add (2,7)=9, w=26\",\"Add (3,7)=12, w=38\",\"Add (6,7)=16, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,75],[0,3,26],[0,4,49],[0,5,9],[0,6,45],[0,7,100],[1,2,27],[1,3,7],[1,4,56],[1,5,66],[1,6,89],[1,7,79],[2,3,23],[2,4,85],[2,5,57],[2,6,75],[2,7,9],[3,4,94],[3,5,28],[3,7,12],[4,5,0],[4,6,37],[4,7,1],[5,6,42],[5,7,45],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (4,7)=1 Succeeded, w=1\",\"Add (1,3)=7 Succeeded, w=8\",\"Add (0,5)=9 Succeeded, w=17\",\"Add (2,7)=9 Succeeded, w=26\",\"Add (3,7)=12 Succeeded, w=38\",\"Add (6,7)=16 Succeeded, w=54\",\"Add (2,3)=23 Failed, w=54\",\"Add (0,3)=26 Failed, w=54\",\"Add (1,2)=27 Failed, w=54\",\"Add (3,5)=28 Failed, w=54\",\"Add (4,6)=37 Failed, w=54\",\"Add (5,6)=42 Failed, w=54\",\"Add (0,6)=45 Failed, w=54\",\"Add (5,7)=45 Failed, w=54\",\"Add (0,4)=49 Failed, w=54\",\"Add (1,4)=56 Failed, w=54\",\"Add (2,5)=57 Failed, w=54\",\"Add (1,5)=66 Failed, w=54\",\"Add (0,2)=75 Failed, w=54\",\"Add (2,6)=75 Failed, w=54\",\"Add (1,7)=79 Failed, w=54\",\"Add (2,4)=85 Failed, w=54\",\"Add (0,1)=88 Failed, w=54\",\"Add (1,6)=89 Failed, w=54\",\"Add (3,4)=94 Failed, w=54\",\"Add (0,7)=100 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,75],[0,3,26],[0,4,49],[0,5,9],[0,6,45],[0,7,100],[1,2,27],[1,3,7],[1,4,56],[1,5,66],[1,6,89],[1,7,79],[2,3,23],[2,4,85],[2,5,57],[2,6,75],[2,7,9],[3,4,94],[3,5,28],[3,7,12],[4,5,0],[4,6,37],[4,7,1],[5,6,42],[5,7,45],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(4,7)=1,(1,3)=7,(0,5)=9,(2,7)=9,(3,7)=12,(6,7)=16,(2,3)=23,(0,3)=26,(1,2)=27,(3,5)=28,(4,6)=37,(5,6)=42,(0,6)=45,(5,7)=45,(0,4)=49,(1,4)=56,(2,5)=57,(1,5)=66,(0,2)=75,(2,6)=75,(1,7)=79,(2,4)=85,(0,1)=88,(1,6)=89,(3,4)=94,(0,7)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=8\",\"Find(0)=0, Find(5)=4, Add (0,5)=9 Succeeded, w=17\",\"Find(2)=2, Find(7)=4, Add (2,7)=9 Succeeded, w=26\",\"Find(3)=1, Find(7)=4, Add (3,7)=12 Succeeded, w=38\",\"Find(6)=6, Find(7)=1, Add (6,7)=16 Succeeded, w=54\",\"Find(2)=1, Find(3)=1, Add (2,3)=23 Failed, w=54\",\"Find(0)=1, Find(3)=1, Add (0,3)=26 Failed, w=54\",\"Find(1)=1, Find(2)=1, Add (1,2)=27 Failed, w=54\",\"Find(3)=1, Find(5)=1, Add (3,5)=28 Failed, w=54\",\"Find(4)=1, Find(6)=1, Add (4,6)=37 Failed, w=54\",\"Find(5)=1, Find(6)=1, Add (5,6)=42 Failed, w=54\",\"Find(0)=1, Find(6)=1, Add (0,6)=45 Failed, w=54\",\"Find(5)=1, Find(7)=1, Add (5,7)=45 Failed, w=54\",\"Find(0)=1, Find(4)=1, Add (0,4)=49 Failed, w=54\",\"Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=54\",\"Find(2)=1, Find(5)=1, Add (2,5)=57 Failed, w=54\",\"Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=54\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=54\",\"Find(2)=1, Find(6)=1, Add (2,6)=75 Failed, w=54\",\"Find(1)=1, Find(7)=1, Add (1,7)=79 Failed, w=54\",\"Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=54\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=54\",\"Find(1)=1, Find(6)=1, Add (1,6)=89 Failed, w=54\",\"Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=54\",\"Find(0)=1, Find(7)=1, Add (0,7)=100 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,75],[0,3,26],[0,4,49],[0,5,9],[0,6,45],[0,7,100],[1,2,27],[1,3,7],[1,4,56],[1,5,66],[1,6,89],[1,7,79],[2,3,23],[2,4,85],[2,5,57],[2,6,75],[2,7,9],[3,4,94],[3,5,28],[3,7,12],[4,5,0],[4,6,37],[4,7,1],[5,6,42],[5,7,45],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(4,7)=1,(1,3)=7,(0,5)=9,(2,7)=9,(3,7)=12,(6,7)=16,(2,3)=23,(0,3)=26,(1,2)=27,(3,5)=28,(4,6)=37,(5,6)=42,(0,6)=45,(5,7)=45,(0,4)=49,(1,4)=56,(2,5)=57,(1,5)=66,(0,2)=75,(2,6)=75,(1,7)=79,(2,4)=85,(0,1)=88,(1,6)=89,(3,4)=94,(0,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=8\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=0, Find(5)=4, Add (0,5)=9 Succeeded, w=17\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4, 6: 6, 7: 4}, Find(2)=2, Find(7)=4, Add (2,7)=9 Succeeded, w=26\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4, 6: 6, 7: 4}, Find(3)=1, Find(7)=4, Add (3,7)=12 Succeeded, w=38\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=16 Succeeded, w=54\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=23 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=26 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=27 Failed, w=54\",\"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)=28 Failed, w=54\",\"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)=37 Failed, w=54\",\"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)=42 Failed, w=54\",\"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)=45 Failed, w=54\",\"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)=45 Failed, w=54\",\"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)=49 Failed, w=54\",\"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)=56 Failed, w=54\",\"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)=57 Failed, w=54\",\"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)=66 Failed, w=54\",\"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)=75 Failed, w=54\",\"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)=75 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=79 Failed, w=54\",\"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)=85 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=54\",\"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)=89 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=54\",\"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)=100 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,12],[0,4,59],[1,3,67],[2,3,31],[2,4,27],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,12],[0,4,59],[1,3,67],[2,3,31],[2,4,27],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,12],[0,4,59],[1,3,67],[2,3,31],[2,4,27],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,12],[0,4,59],[1,3,67],[2,3,31],[2,4,27],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (2,4)=27, w=39\",\"Add (0,1)=29, w=68\",\"Add (2,3)=31, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,12],[0,4,59],[1,3,67],[2,3,31],[2,4,27],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (2,4)=27 Succeeded, w=39\",\"Add (0,1)=29 Succeeded, w=68\",\"Add (2,3)=31 Succeeded, w=99\",\"Add (0,4)=59 Failed, w=99\",\"Add (1,3)=67 Failed, w=99\",\"Add (3,4)=83 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,12],[0,4,59],[1,3,67],[2,3,31],[2,4,27],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(2,4)=27,(0,1)=29,(2,3)=31,(0,4)=59,(1,3)=67,(3,4)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(2)=0, Find(4)=4, Add (2,4)=27 Succeeded, w=39\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=68\",\"Find(2)=0, Find(3)=3, Add (2,3)=31 Succeeded, w=99\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=99\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=99\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,12],[0,4,59],[1,3,67],[2,3,31],[2,4,27],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(2,4)=27,(0,1)=29,(2,3)=31,(0,4)=59,(1,3)=67,(3,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=27 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=31 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,3],[1,2,68],[1,3,12],[2,4,40],[3,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,3],[1,2,68],[1,3,12],[2,4,40],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,3],[1,2,68],[1,3,12],[2,4,40],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,3],[1,2,68],[1,3,12],[2,4,40],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,3)=12, w=15\",\"Add (2,4)=40, w=55\",\"Add (3,4)=48, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,3],[1,2,68],[1,3,12],[2,4,40],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,3)=12 Succeeded, w=15\",\"Add (2,4)=40 Succeeded, w=55\",\"Add (3,4)=48 Succeeded, w=103\",\"Add (1,2)=68 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,3],[1,2,68],[1,3,12],[2,4,40],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=12,(2,4)=40,(3,4)=48,(1,2)=68]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=15\",\"Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=55\",\"Find(3)=1, Find(4)=0, Add (3,4)=48 Succeeded, w=103\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,3],[1,2,68],[1,3,12],[2,4,40],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=12,(2,4)=40,(3,4)=48,(1,2)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(3)=1, Find(4)=0, Add (3,4)=48 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,83],[0,3,64],[1,2,55],[1,3,80],[2,3,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,64],[1,2,55],[1,3,80],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,64],[1,2,55],[1,3,80],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,64],[1,2,55],[1,3,80],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=55, w=55\",\"Add (0,3)=64, w=119\",\"Add (2,3)=75, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,64],[1,2,55],[1,3,80],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=55 Succeeded, w=55\",\"Add (0,3)=64 Succeeded, w=119\",\"Add (2,3)=75 Succeeded, w=194\",\"Add (1,3)=80 Failed, w=194\",\"Add (0,2)=83 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,64],[1,2,55],[1,3,80],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=55,(0,3)=64,(2,3)=75,(1,3)=80,(0,2)=83]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=55 Succeeded, w=55\",\"Find(0)=0, Find(3)=3, Add (0,3)=64 Succeeded, w=119\",\"Find(2)=1, Find(3)=0, Add (2,3)=75 Succeeded, w=194\",\"Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=194\",\"Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[0,3,64],[1,2,55],[1,3,80],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=55,(0,3)=64,(2,3)=75,(1,3)=80,(0,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=55 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=64 Succeeded, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=75 Succeeded, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=80 Failed, w=194\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,96],[0,4,47],[1,2,12],[1,3,30],[1,4,78],[3,4,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,96],[0,4,47],[1,2,12],[1,3,30],[1,4,78],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,96],[0,4,47],[1,2,12],[1,3,30],[1,4,78],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,96],[0,4,47],[1,2,12],[1,3,30],[1,4,78],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10, w=10\",\"Add (1,2)=12, w=22\",\"Add (1,3)=30, w=52\",\"Add (0,4)=47, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,96],[0,4,47],[1,2,12],[1,3,30],[1,4,78],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10 Succeeded, w=10\",\"Add (1,2)=12 Succeeded, w=22\",\"Add (1,3)=30 Succeeded, w=52\",\"Add (0,4)=47 Succeeded, w=99\",\"Add (1,4)=78 Failed, w=99\",\"Add (0,2)=96 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,96],[0,4,47],[1,2,12],[1,3,30],[1,4,78],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(1,2)=12,(1,3)=30,(0,4)=47,(1,4)=78,(0,2)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=52\",\"Find(0)=0, Find(4)=1, Add (0,4)=47 Succeeded, w=99\",\"Find(1)=1, Find(4)=1, Add (1,4)=78 Failed, w=99\",\"Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,96],[0,4,47],[1,2,12],[1,3,30],[1,4,78],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(1,2)=12,(1,3)=30,(0,4)=47,(1,4)=78,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=47 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=78 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,100],[0,2,46],[0,3,90],[0,4,16],[0,5,32],[1,2,57],[1,3,42],[1,4,44],[1,5,66],[2,3,27],[2,4,34],[2,5,86],[3,4,16],[3,5,100],[4,5,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,46],[0,3,90],[0,4,16],[0,5,32],[1,2,57],[1,3,42],[1,4,44],[1,5,66],[2,3,27],[2,4,34],[2,5,86],[3,4,16],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,46],[0,3,90],[0,4,16],[0,5,32],[1,2,57],[1,3,42],[1,4,44],[1,5,66],[2,3,27],[2,4,34],[2,5,86],[3,4,16],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,46],[0,3,90],[0,4,16],[0,5,32],[1,2,57],[1,3,42],[1,4,44],[1,5,66],[2,3,27],[2,4,34],[2,5,86],[3,4,16],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (0,4)=16, w=19\",\"Add (3,4)=16, w=35\",\"Add (2,3)=27, w=62\",\"Add (1,3)=42, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,46],[0,3,90],[0,4,16],[0,5,32],[1,2,57],[1,3,42],[1,4,44],[1,5,66],[2,3,27],[2,4,34],[2,5,86],[3,4,16],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (0,4)=16 Succeeded, w=19\",\"Add (3,4)=16 Succeeded, w=35\",\"Add (2,3)=27 Succeeded, w=62\",\"Add (0,5)=32 Failed, w=62\",\"Add (2,4)=34 Failed, w=62\",\"Add (1,3)=42 Succeeded, w=104\",\"Add (1,4)=44 Failed, w=104\",\"Add (0,2)=46 Failed, w=104\",\"Add (1,2)=57 Failed, w=104\",\"Add (1,5)=66 Failed, w=104\",\"Add (2,5)=86 Failed, w=104\",\"Add (0,3)=90 Failed, w=104\",\"Add (0,1)=100 Failed, w=104\",\"Add (3,5)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,46],[0,3,90],[0,4,16],[0,5,32],[1,2,57],[1,3,42],[1,4,44],[1,5,66],[2,3,27],[2,4,34],[2,5,86],[3,4,16],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(0,4)=16,(3,4)=16,(2,3)=27,(0,5)=32,(2,4)=34,(1,3)=42,(1,4)=44,(0,2)=46,(1,2)=57,(1,5)=66,(2,5)=86,(0,3)=90,(0,1)=100,(3,5)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=35\",\"Find(2)=2, Find(3)=4, Add (2,3)=27 Succeeded, w=62\",\"Find(0)=4, Find(5)=4, Add (0,5)=32 Failed, w=62\",\"Find(2)=4, Find(4)=4, Add (2,4)=34 Failed, w=62\",\"Find(1)=1, Find(3)=4, Add (1,3)=42 Succeeded, w=104\",\"Find(1)=4, Find(4)=4, Add (1,4)=44 Failed, w=104\",\"Find(0)=4, Find(2)=4, Add (0,2)=46 Failed, w=104\",\"Find(1)=4, Find(2)=4, Add (1,2)=57 Failed, w=104\",\"Find(1)=4, Find(5)=4, Add (1,5)=66 Failed, w=104\",\"Find(2)=4, Find(5)=4, Add (2,5)=86 Failed, w=104\",\"Find(0)=4, Find(3)=4, Add (0,3)=90 Failed, w=104\",\"Find(0)=4, Find(1)=4, Add (0,1)=100 Failed, w=104\",\"Find(3)=4, Find(5)=4, Add (3,5)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,46],[0,3,90],[0,4,16],[0,5,32],[1,2,57],[1,3,42],[1,4,44],[1,5,66],[2,3,27],[2,4,34],[2,5,86],[3,4,16],[3,5,100],[4,5,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(0,4)=16,(3,4)=16,(2,3)=27,(0,5)=32,(2,4)=34,(1,3)=42,(1,4)=44,(0,2)=46,(1,2)=57,(1,5)=66,(2,5)=86,(0,3)=90,(0,1)=100,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=19\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=35\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(3)=4, Add (2,3)=27 Succeeded, w=62\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(5)=4, Add (0,5)=32 Failed, w=62\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=34 Failed, w=62\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(3)=4, Add (1,3)=42 Succeeded, w=104\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=44 Failed, w=104\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=46 Failed, w=104\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=4, Add (1,2)=57 Failed, w=104\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=66 Failed, w=104\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=86 Failed, w=104\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=90 Failed, w=104\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=100 Failed, w=104\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,55],[0,2,66],[0,3,27],[1,2,94],[2,3,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,66],[0,3,27],[1,2,94],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,66],[0,3,27],[1,2,94],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,66],[0,3,27],[1,2,94],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=27, w=27\",\"Add (2,3)=39, w=66\",\"Add (0,1)=55, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,66],[0,3,27],[1,2,94],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=27 Succeeded, w=27\",\"Add (2,3)=39 Succeeded, w=66\",\"Add (0,1)=55 Succeeded, w=121\",\"Add (0,2)=66 Failed, w=121\",\"Add (1,2)=94 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,66],[0,3,27],[1,2,94],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=27,(2,3)=39,(0,1)=55,(0,2)=66,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=27\",\"Find(2)=2, Find(3)=0, Add (2,3)=39 Succeeded, w=66\",\"Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=121\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,2,66],[0,3,27],[1,2,94],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=27,(2,3)=39,(0,1)=55,(0,2)=66,(1,2)=94]\",\"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)=39 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,55],[0,2,35],[0,3,0],[0,4,64],[0,5,32],[0,6,59],[1,2,53],[1,3,74],[1,4,97],[1,5,30],[1,6,45],[2,4,69],[2,5,80],[2,6,89],[3,4,98],[3,5,58],[3,6,5],[4,5,79],[4,6,40],[5,6,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,35],[0,3,0],[0,4,64],[0,5,32],[0,6,59],[1,2,53],[1,3,74],[1,4,97],[1,5,30],[1,6,45],[2,4,69],[2,5,80],[2,6,89],[3,4,98],[3,5,58],[3,6,5],[4,5,79],[4,6,40],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,35],[0,3,0],[0,4,64],[0,5,32],[0,6,59],[1,2,53],[1,3,74],[1,4,97],[1,5,30],[1,6,45],[2,4,69],[2,5,80],[2,6,89],[3,4,98],[3,5,58],[3,6,5],[4,5,79],[4,6,40],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (4,6)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,35],[0,3,0],[0,4,64],[0,5,32],[0,6,59],[1,2,53],[1,3,74],[1,4,97],[1,5,30],[1,6,45],[2,4,69],[2,5,80],[2,6,89],[3,4,98],[3,5,58],[3,6,5],[4,5,79],[4,6,40],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (3,6)=5, w=5\",\"Add (1,5)=30, w=35\",\"Add (0,5)=32, w=67\",\"Add (0,2)=35, w=102\",\"Add (4,6)=40, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,35],[0,3,0],[0,4,64],[0,5,32],[0,6,59],[1,2,53],[1,3,74],[1,4,97],[1,5,30],[1,6,45],[2,4,69],[2,5,80],[2,6,89],[3,4,98],[3,5,58],[3,6,5],[4,5,79],[4,6,40],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (3,6)=5 Succeeded, w=5\",\"Add (1,5)=30 Succeeded, w=35\",\"Add (0,5)=32 Succeeded, w=67\",\"Add (0,2)=35 Succeeded, w=102\",\"Add (4,6)=40 Succeeded, w=142\",\"Add (1,6)=45 Failed, w=142\",\"Add (1,2)=53 Failed, w=142\",\"Add (0,1)=55 Failed, w=142\",\"Add (3,5)=58 Failed, w=142\",\"Add (0,6)=59 Failed, w=142\",\"Add (0,4)=64 Failed, w=142\",\"Add (2,4)=69 Failed, w=142\",\"Add (5,6)=72 Failed, w=142\",\"Add (1,3)=74 Failed, w=142\",\"Add (4,5)=79 Failed, w=142\",\"Add (2,5)=80 Failed, w=142\",\"Add (2,6)=89 Failed, w=142\",\"Add (1,4)=97 Failed, w=142\",\"Add (3,4)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,35],[0,3,0],[0,4,64],[0,5,32],[0,6,59],[1,2,53],[1,3,74],[1,4,97],[1,5,30],[1,6,45],[2,4,69],[2,5,80],[2,6,89],[3,4,98],[3,5,58],[3,6,5],[4,5,79],[4,6,40],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,6)=5,(1,5)=30,(0,5)=32,(0,2)=35,(4,6)=40,(1,6)=45,(1,2)=53,(0,1)=55,(3,5)=58,(0,6)=59,(0,4)=64,(2,4)=69,(5,6)=72,(1,3)=74,(4,5)=79,(2,5)=80,(2,6)=89,(1,4)=97,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(3)=0, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=35\",\"Find(0)=0, Find(5)=1, Add (0,5)=32 Succeeded, w=67\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=102\",\"Find(4)=4, Find(6)=0, Add (4,6)=40 Succeeded, w=142\",\"Find(1)=0, Find(6)=0, Add (1,6)=45 Failed, w=142\",\"Find(1)=0, Find(2)=0, Add (1,2)=53 Failed, w=142\",\"Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=142\",\"Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=142\",\"Find(0)=0, Find(6)=0, Add (0,6)=59 Failed, w=142\",\"Find(0)=0, Find(4)=0, Add (0,4)=64 Failed, w=142\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=142\",\"Find(5)=0, Find(6)=0, Add (5,6)=72 Failed, w=142\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=142\",\"Find(4)=0, Find(5)=0, Add (4,5)=79 Failed, w=142\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=142\",\"Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=142\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=142\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,55],[0,2,35],[0,3,0],[0,4,64],[0,5,32],[0,6,59],[1,2,53],[1,3,74],[1,4,97],[1,5,30],[1,6,45],[2,4,69],[2,5,80],[2,6,89],[3,4,98],[3,5,58],[3,6,5],[4,5,79],[4,6,40],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,6)=5,(1,5)=30,(0,5)=32,(0,2)=35,(4,6)=40,(1,6)=45,(1,2)=53,(0,1)=55,(3,5)=58,(0,6)=59,(0,4)=64,(2,4)=69,(5,6)=72,(1,3)=74,(4,5)=79,(2,5)=80,(2,6)=89,(1,4)=97,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(5)=1, Add (0,5)=32 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=40 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 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: 1, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=53 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=59 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=64 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=72 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=79 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,51],[0,3,80],[1,2,22],[1,3,99],[2,3,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,80],[1,2,22],[1,3,99],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,80],[1,2,22],[1,3,99],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,80],[1,2,22],[1,3,99],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (0,1)=51, w=73\",\"Add (0,3)=80, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,80],[1,2,22],[1,3,99],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (0,1)=51 Succeeded, w=73\",\"Add (0,3)=80 Succeeded, w=153\",\"Add (2,3)=97 Failed, w=153\",\"Add (1,3)=99 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,80],[1,2,22],[1,3,99],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,1)=51,(0,3)=80,(2,3)=97,(1,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=73\",\"Find(0)=1, Find(3)=3, Add (0,3)=80 Succeeded, w=153\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=153\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,3,80],[1,2,22],[1,3,99],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,1)=51,(0,3)=80,(2,3)=97,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=80 Succeeded, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
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